TSTP Solution File: NUM417^1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUM417^1 : TPTP v8.1.2. Released v3.6.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.9xQDNSGDm2 true
% Computer : n011.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 12:41:18 EDT 2023
% Result : Theorem 6.32s 1.43s
% Output : Refutation 6.32s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 5
% Syntax : Number of formulae : 20 ( 17 unt; 3 typ; 0 def)
% Number of atoms : 17 ( 16 equ; 0 cnn)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 163 ( 5 ~; 0 |; 0 &; 158 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 104 ( 104 >; 0 *; 0 +; 0 <<)
% Number of symbols : 5 ( 3 usr; 1 con; 0-4 aty)
% Number of variables : 75 ( 54 ^; 21 !; 0 ?; 75 :)
% Comments :
%------------------------------------------------------------------------------
thf(mult_type,type,
mult: ( ( $i > $i ) > $i > $i ) > ( ( $i > $i ) > $i > $i ) > ( $i > $i ) > $i > $i ).
thf('#sk1_type',type,
'#sk1': $i > $i ).
thf(ten_type,type,
ten: ( $i > $i ) > $i > $i ).
thf(thm,conjecture,
( ( mult @ ( mult @ ten @ ten ) @ ( mult @ ten @ ten ) )
= ( mult @ ( mult @ ( mult @ ten @ ten ) @ ten ) @ ten ) ) ).
thf(zf_stmt_0,negated_conjecture,
( ( mult @ ( mult @ ten @ ten ) @ ( mult @ ten @ ten ) )
!= ( mult @ ( mult @ ( mult @ ten @ ten ) @ ten ) @ ten ) ),
inference('cnf.neg',[status(esa)],[thm]) ).
thf(zip_derived_cl14,plain,
( ( mult @ ( mult @ ten @ ten ) @ ( mult @ ten @ ten ) )
!= ( mult @ ( mult @ ( mult @ ten @ ten ) @ ten ) @ ten ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl16,plain,
( ( ^ [Y0: $i] :
( mult
@ ^ [Y1: $i > $i,Y2: $i] :
( mult
@ ^ [Y3: $i > $i,Y4: $i] :
( ten
@ ^ [Y5: $i] : ( Y3 @ Y5 )
@ Y4 )
@ ^ [Y3: $i > $i,Y4: $i] :
( ten
@ ^ [Y5: $i] : ( Y3 @ Y5 )
@ Y4 )
@ ^ [Y3: $i] : ( Y1 @ Y3 )
@ Y2 )
@ ^ [Y1: $i > $i,Y2: $i] :
( mult
@ ^ [Y3: $i > $i,Y4: $i] :
( ten
@ ^ [Y5: $i] : ( Y3 @ Y5 )
@ Y4 )
@ ^ [Y3: $i > $i,Y4: $i] :
( ten
@ ^ [Y5: $i] : ( Y3 @ Y5 )
@ Y4 )
@ ^ [Y3: $i] : ( Y1 @ Y3 )
@ Y2 )
@ ^ [Y1: $i] : ( '#sk1' @ Y1 )
@ Y0 ) )
!= ( ^ [Y0: $i] :
( mult
@ ^ [Y1: $i > $i,Y2: $i] :
( mult
@ ^ [Y3: $i > $i,Y4: $i] :
( mult
@ ^ [Y5: $i > $i,Y6: $i] :
( ten
@ ^ [Y7: $i] : ( Y5 @ Y7 )
@ Y6 )
@ ^ [Y5: $i > $i,Y6: $i] :
( ten
@ ^ [Y7: $i] : ( Y5 @ Y7 )
@ Y6 )
@ ^ [Y5: $i] : ( Y3 @ Y5 )
@ Y4 )
@ ^ [Y3: $i > $i,Y4: $i] :
( ten
@ ^ [Y5: $i] : ( Y3 @ Y5 )
@ Y4 )
@ ^ [Y3: $i] : ( Y1 @ Y3 )
@ Y2 )
@ ^ [Y1: $i > $i,Y2: $i] :
( ten
@ ^ [Y3: $i] : ( Y1 @ Y3 )
@ Y2 )
@ ^ [Y1: $i] : ( '#sk1' @ Y1 )
@ Y0 ) ) ),
inference(neg_ext,[status(thm)],[zip_derived_cl14]) ).
thf(zip_derived_cl17,plain,
( ( mult @ ( mult @ ten @ ten ) @ ( mult @ ten @ ten ) @ '#sk1' )
!= ( mult @ ( mult @ ( mult @ ten @ ten ) @ ten ) @ ten @ '#sk1' ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl16]) ).
thf(mult_ax,axiom,
( mult
= ( ^ [M: ( $i > $i ) > $i > $i,N: ( $i > $i ) > $i > $i,X: $i > $i,Y: $i] : ( M @ ( N @ X ) @ Y ) ) ) ).
thf(zip_derived_cl13,plain,
( mult
= ( ^ [Y0: ( $i > $i ) > $i > $i,Y1: ( $i > $i ) > $i > $i,Y2: $i > $i,Y3: $i] : ( Y0 @ ( Y1 @ Y2 ) @ Y3 ) ) ),
inference(cnf,[status(esa)],[mult_ax]) ).
thf(zip_derived_cl168,plain,
( mult
= ( ^ [Y0: ( $i > $i ) > $i > $i,Y1: ( $i > $i ) > $i > $i,Y2: $i > $i] : ( Y0 @ ( Y1 @ Y2 ) ) ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl13]) ).
thf(zip_derived_cl171,plain,
! [X1: ( $i > $i ) > $i > $i,X2: ( $i > $i ) > $i > $i,X3: $i > $i] :
( ( mult @ X1 @ X2 @ X3 )
= ( ^ [Y0: ( $i > $i ) > $i > $i,Y1: ( $i > $i ) > $i > $i,Y2: $i > $i] : ( Y0 @ ( Y1 @ Y2 ) )
@ X1
@ X2
@ X3 ) ),
inference(ho_complete_eq,[status(thm)],[zip_derived_cl168]) ).
thf(zip_derived_cl175,plain,
! [X1: ( $i > $i ) > $i > $i,X2: ( $i > $i ) > $i > $i,X3: $i > $i] :
( ( mult @ X1 @ X2 @ X3 )
= ( X1 @ ( X2 @ X3 ) ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl171]) ).
thf(zip_derived_cl175_001,plain,
! [X1: ( $i > $i ) > $i > $i,X2: ( $i > $i ) > $i > $i,X3: $i > $i] :
( ( mult @ X1 @ X2 @ X3 )
= ( X1 @ ( X2 @ X3 ) ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl171]) ).
thf(zip_derived_cl175_002,plain,
! [X1: ( $i > $i ) > $i > $i,X2: ( $i > $i ) > $i > $i,X3: $i > $i] :
( ( mult @ X1 @ X2 @ X3 )
= ( X1 @ ( X2 @ X3 ) ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl171]) ).
thf(zip_derived_cl175_003,plain,
! [X1: ( $i > $i ) > $i > $i,X2: ( $i > $i ) > $i > $i,X3: $i > $i] :
( ( mult @ X1 @ X2 @ X3 )
= ( X1 @ ( X2 @ X3 ) ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl171]) ).
thf(zip_derived_cl175_004,plain,
! [X1: ( $i > $i ) > $i > $i,X2: ( $i > $i ) > $i > $i,X3: $i > $i] :
( ( mult @ X1 @ X2 @ X3 )
= ( X1 @ ( X2 @ X3 ) ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl171]) ).
thf(zip_derived_cl175_005,plain,
! [X1: ( $i > $i ) > $i > $i,X2: ( $i > $i ) > $i > $i,X3: $i > $i] :
( ( mult @ X1 @ X2 @ X3 )
= ( X1 @ ( X2 @ X3 ) ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl171]) ).
thf(zip_derived_cl316,plain,
( ( ten @ ( ten @ ( ten @ ( ten @ '#sk1' ) ) ) )
!= ( ten @ ( ten @ ( ten @ ( ten @ '#sk1' ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl17,zip_derived_cl175,zip_derived_cl175,zip_derived_cl175,zip_derived_cl175,zip_derived_cl175,zip_derived_cl175]) ).
thf(zip_derived_cl317,plain,
$false,
inference(simplify,[status(thm)],[zip_derived_cl316]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : NUM417^1 : TPTP v8.1.2. Released v3.6.0.
% 0.07/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.9xQDNSGDm2 true
% 0.15/0.35 % Computer : n011.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 10:08:08 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
% 0.22/0.67 % Total configuration time : 828
% 0.22/0.67 % Estimated wc time : 1656
% 0.22/0.67 % Estimated cpu time (8 cpus) : 207.0
% 0.22/0.73 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.22/0.73 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 1.35/0.77 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 1.35/0.77 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 1.35/0.78 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 1.35/0.78 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 1.35/0.79 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 1.35/0.79 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 6.32/1.43 % Solved by lams/35_full_unif4.sh.
% 6.32/1.43 % done 56 iterations in 0.665s
% 6.32/1.43 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 6.32/1.43 % SZS output start Refutation
% See solution above
% 6.32/1.43
% 6.32/1.43
% 6.32/1.43 % Terminating...
% 6.57/1.47 % Runner terminated.
% 6.57/1.48 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------