TSTP Solution File: ALG294^5 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : ALG294^5 : TPTP v8.1.2. Released v4.0.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.2Vt1ULBbIQ true
% Computer : n029.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 : Wed Aug 30 17:12:45 EDT 2023
% Result : Theorem 26.35s 4.05s
% Output : Refutation 26.35s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 8
% Syntax : Number of formulae : 11 ( 1 unt; 7 typ; 0 def)
% Number of atoms : 131 ( 60 equ; 0 cnn)
% Maximal formula atoms : 43 ( 32 avg)
% Number of connectives : 535 ( 5 ~; 12 |; 87 &; 313 @)
% ( 9 <=>; 63 =>; 0 <=; 0 <~>)
% Maximal formula depth : 25 ( 16 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 43 ( 43 >; 0 *; 0 +; 0 <<)
% Number of symbols : 10 ( 6 usr; 4 con; 0-2 aty)
% ( 29 !!; 17 ??; 0 @@+; 0 @@-)
% Number of variables : 162 ( 70 ^; 58 !; 34 ?; 162 :)
% Comments :
%------------------------------------------------------------------------------
thf(a_type,type,
a: $tType ).
thf(cP_type,type,
cP: a > a > a ).
thf(cL_type,type,
cL: a > a ).
thf(cPHI_type,type,
cPHI: ( a > $o ) > a > $o ).
thf(cZ_type,type,
cZ: a ).
thf(cPSI_type,type,
cPSI: ( a > $o ) > a > $o ).
thf(cR_type,type,
cR: a > a ).
thf(cPU_X2310B_pme,conjecture,
( ( ! [X: a > $o,Xz: a] :
( ( cPSI @ X @ Xz )
<=> ? [Xx: a] :
( ! [Xx_15: a] :
( ! [X0: a > $o] :
( ( ! [Xz0: a] :
( ( X0 @ Xz0 )
=> ( X0 @ ( cL @ Xz0 ) ) )
& ( X0 @ Xx ) )
=> ? [Xv: a] :
( ( X0 @ Xv )
& ( ( cR @ Xv )
= Xx_15 ) ) )
=> ( X @ Xx_15 ) )
& ( cPSI
@ ^ [Xy: a] :
! [X0: a > $o] :
( ( ! [Xz0: a] :
( ( X0 @ Xz0 )
=> ( X0 @ ( cL @ Xz0 ) ) )
& ( X0 @ Xx ) )
=> ? [Xv: a] :
( ( X0 @ Xv )
& ( ( cR @ Xv )
= Xy ) ) )
@ Xz ) ) )
& ! [X: a > $o,Xz: a] :
( ( cPHI @ X @ Xz )
<=> ? [Xx: a] :
( ! [Xx_14: a] :
( ! [X0: a > $o] :
( ( ! [Xz0: a] :
( ( X0 @ Xz0 )
=> ( X0 @ ( cL @ Xz0 ) ) )
& ( X0 @ Xx ) )
=> ? [Xv: a] :
( ( X0 @ Xv )
& ( ( cR @ Xv )
= Xx_14 ) ) )
=> ( X @ Xx_14 ) )
& ( cPHI
@ ^ [Xy: a] :
! [X0: a > $o] :
( ( ! [Xz0: a] :
( ( X0 @ Xz0 )
=> ( X0 @ ( cL @ Xz0 ) ) )
& ( X0 @ Xx ) )
=> ? [Xv: a] :
( ( X0 @ Xv )
& ( ( cR @ Xv )
= Xy ) ) )
@ Xz ) ) )
& ! [X: a > $o] :
( ? [Xt: a] :
( ( X @ Xt )
& ! [Xu: a] :
( ( X @ Xu )
=> ( X @ ( cL @ Xu ) ) ) )
=> ( X @ cZ ) )
& ! [Xt: a] :
( ( Xt != cZ )
<=> ( Xt
= ( cP @ ( cL @ Xt ) @ ( cR @ Xt ) ) ) )
& ! [Xx: a,Xy: a] :
( ( cR @ ( cP @ Xx @ Xy ) )
= Xy )
& ! [Xx: a,Xy: a] :
( ( cL @ ( cP @ Xx @ Xy ) )
= Xx )
& ( ( cR @ cZ )
= cZ )
& ( ( cL @ cZ )
= cZ ) )
=> ( ( ^ [Xu: a] :
( ? [Xx: a,Xy: a] :
( ( Xu
= ( cP @ Xx @ Xy ) )
& ( ( cPHI
@ ^ [Xy0: a] :
! [X: a > $o] :
( ( ! [Xz: a] :
( ( X @ Xz )
=> ( X @ ( cL @ Xz ) ) )
& ( X @ Xx ) )
=> ? [Xv: a] :
( ( X @ Xv )
& ( ( cR @ Xv )
= Xy0 ) ) )
@ Xy )
| ( cPSI
@ ^ [Xy0: a] :
! [X: a > $o] :
( ( ! [Xz: a] :
( ( X @ Xz )
=> ( X @ ( cL @ Xz ) ) )
& ( X @ Xx ) )
=> ? [Xv: a] :
( ( X @ Xv )
& ( ( cR @ Xv )
= Xy0 ) ) )
@ Xy ) ) )
| ( Xu = cZ ) ) )
= ( ^ [Xz: a] :
( ( Xz = cZ )
| ? [Xx: a,Xy: a] :
( ( Xz
= ( cP @ Xx @ Xy ) )
& ( cPHI
@ ^ [Xy0: a] :
! [X: a > $o] :
( ( ! [Xz0: a] :
( ( X @ Xz0 )
=> ( X @ ( cL @ Xz0 ) ) )
& ( X @ Xx ) )
=> ? [Xv: a] :
( ( X @ Xv )
& ( ( cR @ Xv )
= Xy0 ) ) )
@ Xy ) )
| ? [Xx: a,Xy: a] :
( ( Xz
= ( cP @ Xx @ Xy ) )
& ( cPSI
@ ^ [Xy0: a] :
! [X: a > $o] :
( ( ! [Xz0: a] :
( ( X @ Xz0 )
=> ( X @ ( cL @ Xz0 ) ) )
& ( X @ Xx ) )
=> ? [Xv: a] :
( ( X @ Xv )
& ( ( cR @ Xv )
= Xy0 ) ) )
@ Xy ) ) ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ( ( ! [X: a > $o,Xz: a] :
( ( cPSI @ X @ Xz )
<=> ? [Xx: a] :
( ! [Xx_15: a] :
( ! [X0: a > $o] :
( ( ! [Xz0: a] :
( ( X0 @ Xz0 )
=> ( X0 @ ( cL @ Xz0 ) ) )
& ( X0 @ Xx ) )
=> ? [Xv: a] :
( ( X0 @ Xv )
& ( ( cR @ Xv )
= Xx_15 ) ) )
=> ( X @ Xx_15 ) )
& ( cPSI
@ ^ [Xy: a] :
! [X0: a > $o] :
( ( ! [Xz0: a] :
( ( X0 @ Xz0 )
=> ( X0 @ ( cL @ Xz0 ) ) )
& ( X0 @ Xx ) )
=> ? [Xv: a] :
( ( X0 @ Xv )
& ( ( cR @ Xv )
= Xy ) ) )
@ Xz ) ) )
& ! [X: a > $o,Xz: a] :
( ( cPHI @ X @ Xz )
<=> ? [Xx: a] :
( ! [Xx_14: a] :
( ! [X0: a > $o] :
( ( ! [Xz0: a] :
( ( X0 @ Xz0 )
=> ( X0 @ ( cL @ Xz0 ) ) )
& ( X0 @ Xx ) )
=> ? [Xv: a] :
( ( X0 @ Xv )
& ( ( cR @ Xv )
= Xx_14 ) ) )
=> ( X @ Xx_14 ) )
& ( cPHI
@ ^ [Xy: a] :
! [X0: a > $o] :
( ( ! [Xz0: a] :
( ( X0 @ Xz0 )
=> ( X0 @ ( cL @ Xz0 ) ) )
& ( X0 @ Xx ) )
=> ? [Xv: a] :
( ( X0 @ Xv )
& ( ( cR @ Xv )
= Xy ) ) )
@ Xz ) ) )
& ! [X: a > $o] :
( ? [Xt: a] :
( ( X @ Xt )
& ! [Xu: a] :
( ( X @ Xu )
=> ( X @ ( cL @ Xu ) ) ) )
=> ( X @ cZ ) )
& ! [Xt: a] :
( ( Xt != cZ )
<=> ( Xt
= ( cP @ ( cL @ Xt ) @ ( cR @ Xt ) ) ) )
& ! [Xx: a,Xy: a] :
( ( cR @ ( cP @ Xx @ Xy ) )
= Xy )
& ! [Xx: a,Xy: a] :
( ( cL @ ( cP @ Xx @ Xy ) )
= Xx )
& ( ( cR @ cZ )
= cZ )
& ( ( cL @ cZ )
= cZ ) )
=> ( ( ^ [Xu: a] :
( ? [Xx: a,Xy: a] :
( ( Xu
= ( cP @ Xx @ Xy ) )
& ( ( cPHI
@ ^ [Xy0: a] :
! [X: a > $o] :
( ( ! [Xz: a] :
( ( X @ Xz )
=> ( X @ ( cL @ Xz ) ) )
& ( X @ Xx ) )
=> ? [Xv: a] :
( ( X @ Xv )
& ( ( cR @ Xv )
= Xy0 ) ) )
@ Xy )
| ( cPSI
@ ^ [Xy0: a] :
! [X: a > $o] :
( ( ! [Xz: a] :
( ( X @ Xz )
=> ( X @ ( cL @ Xz ) ) )
& ( X @ Xx ) )
=> ? [Xv: a] :
( ( X @ Xv )
& ( ( cR @ Xv )
= Xy0 ) ) )
@ Xy ) ) )
| ( Xu = cZ ) ) )
= ( ^ [Xz: a] :
( ( Xz = cZ )
| ? [Xx: a,Xy: a] :
( ( Xz
= ( cP @ Xx @ Xy ) )
& ( cPHI
@ ^ [Xy0: a] :
! [X: a > $o] :
( ( ! [Xz0: a] :
( ( X @ Xz0 )
=> ( X @ ( cL @ Xz0 ) ) )
& ( X @ Xx ) )
=> ? [Xv: a] :
( ( X @ Xv )
& ( ( cR @ Xv )
= Xy0 ) ) )
@ Xy ) )
| ? [Xx: a,Xy: a] :
( ( Xz
= ( cP @ Xx @ Xy ) )
& ( cPSI
@ ^ [Xy0: a] :
! [X: a > $o] :
( ( ! [Xz0: a] :
( ( X @ Xz0 )
=> ( X @ ( cL @ Xz0 ) ) )
& ( X @ Xx ) )
=> ? [Xv: a] :
( ( X @ Xv )
& ( ( cR @ Xv )
= Xy0 ) ) )
@ Xy ) ) ) ) ) ),
inference('cnf.neg',[status(esa)],[cPU_X2310B_pme]) ).
thf(zip_derived_cl0,plain,
~ ( ( ( !!
@ ^ [Y0: a > $o] :
( !!
@ ^ [Y1: a] :
( ( cPSI @ Y0 @ Y1 )
<=> ( ??
@ ^ [Y2: a] :
( ( !!
@ ^ [Y3: a] :
( ( !!
@ ^ [Y4: a > $o] :
( ( ( !!
@ ^ [Y5: a] :
( ( Y4 @ Y5 )
=> ( Y4 @ ( cL @ Y5 ) ) ) )
& ( Y4 @ Y2 ) )
=> ( ??
@ ^ [Y5: a] :
( ( Y4 @ Y5 )
& ( ( cR @ Y5 )
= Y3 ) ) ) ) )
=> ( Y0 @ Y3 ) ) )
& ( cPSI
@ ^ [Y3: a] :
( !!
@ ^ [Y4: a > $o] :
( ( ( !!
@ ^ [Y5: a] :
( ( Y4 @ Y5 )
=> ( Y4 @ ( cL @ Y5 ) ) ) )
& ( Y4 @ Y2 ) )
=> ( ??
@ ^ [Y5: a] :
( ( Y4 @ Y5 )
& ( ( cR @ Y5 )
= Y3 ) ) ) ) )
@ Y1 ) ) ) ) ) )
& ( !!
@ ^ [Y0: a > $o] :
( !!
@ ^ [Y1: a] :
( ( cPHI @ Y0 @ Y1 )
<=> ( ??
@ ^ [Y2: a] :
( ( !!
@ ^ [Y3: a] :
( ( !!
@ ^ [Y4: a > $o] :
( ( ( !!
@ ^ [Y5: a] :
( ( Y4 @ Y5 )
=> ( Y4 @ ( cL @ Y5 ) ) ) )
& ( Y4 @ Y2 ) )
=> ( ??
@ ^ [Y5: a] :
( ( Y4 @ Y5 )
& ( ( cR @ Y5 )
= Y3 ) ) ) ) )
=> ( Y0 @ Y3 ) ) )
& ( cPHI
@ ^ [Y3: a] :
( !!
@ ^ [Y4: a > $o] :
( ( ( !!
@ ^ [Y5: a] :
( ( Y4 @ Y5 )
=> ( Y4 @ ( cL @ Y5 ) ) ) )
& ( Y4 @ Y2 ) )
=> ( ??
@ ^ [Y5: a] :
( ( Y4 @ Y5 )
& ( ( cR @ Y5 )
= Y3 ) ) ) ) )
@ Y1 ) ) ) ) ) )
& ( !!
@ ^ [Y0: a > $o] :
( ( ??
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
& ( !!
@ ^ [Y2: a] :
( ( Y0 @ Y2 )
=> ( Y0 @ ( cL @ Y2 ) ) ) ) ) )
=> ( Y0 @ cZ ) ) )
& ( !!
@ ^ [Y0: a] :
( ( Y0 != cZ )
<=> ( Y0
= ( cP @ ( cL @ Y0 ) @ ( cR @ Y0 ) ) ) ) )
& ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( cR @ ( cP @ Y0 @ Y1 ) )
= Y1 ) ) )
& ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( cL @ ( cP @ Y0 @ Y1 ) )
= Y0 ) ) )
& ( ( cR @ cZ )
= cZ )
& ( ( cL @ cZ )
= cZ ) )
=> ( ( ^ [Y0: a] :
( ( ??
@ ^ [Y1: a] :
( ??
@ ^ [Y2: a] :
( ( Y0
= ( cP @ Y1 @ Y2 ) )
& ( ( cPHI
@ ^ [Y3: a] :
( !!
@ ^ [Y4: a > $o] :
( ( ( !!
@ ^ [Y5: a] :
( ( Y4 @ Y5 )
=> ( Y4 @ ( cL @ Y5 ) ) ) )
& ( Y4 @ Y1 ) )
=> ( ??
@ ^ [Y5: a] :
( ( Y4 @ Y5 )
& ( ( cR @ Y5 )
= Y3 ) ) ) ) )
@ Y2 )
| ( cPSI
@ ^ [Y3: a] :
( !!
@ ^ [Y4: a > $o] :
( ( ( !!
@ ^ [Y5: a] :
( ( Y4 @ Y5 )
=> ( Y4 @ ( cL @ Y5 ) ) ) )
& ( Y4 @ Y1 ) )
=> ( ??
@ ^ [Y5: a] :
( ( Y4 @ Y5 )
& ( ( cR @ Y5 )
= Y3 ) ) ) ) )
@ Y2 ) ) ) ) )
| ( Y0 = cZ ) ) )
= ( ^ [Y0: a] :
( ( Y0 = cZ )
| ( ??
@ ^ [Y1: a] :
( ??
@ ^ [Y2: a] :
( ( Y0
= ( cP @ Y1 @ Y2 ) )
& ( cPHI
@ ^ [Y3: a] :
( !!
@ ^ [Y4: a > $o] :
( ( ( !!
@ ^ [Y5: a] :
( ( Y4 @ Y5 )
=> ( Y4 @ ( cL @ Y5 ) ) ) )
& ( Y4 @ Y1 ) )
=> ( ??
@ ^ [Y5: a] :
( ( Y4 @ Y5 )
& ( ( cR @ Y5 )
= Y3 ) ) ) ) )
@ Y2 ) ) ) )
| ( ??
@ ^ [Y1: a] :
( ??
@ ^ [Y2: a] :
( ( Y0
= ( cP @ Y1 @ Y2 ) )
& ( cPSI
@ ^ [Y3: a] :
( !!
@ ^ [Y4: a > $o] :
( ( ( !!
@ ^ [Y5: a] :
( ( Y4 @ Y5 )
=> ( Y4 @ ( cL @ Y5 ) ) ) )
& ( Y4 @ Y1 ) )
=> ( ??
@ ^ [Y5: a] :
( ( Y4 @ Y5 )
& ( ( cR @ Y5 )
= Y3 ) ) ) ) )
@ Y2 ) ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2834,plain,
$false,
inference(eprover,[status(thm)],[zip_derived_cl0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : ALG294^5 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.2Vt1ULBbIQ true
% 0.18/0.35 % Computer : n029.cluster.edu
% 0.18/0.35 % Model : x86_64 x86_64
% 0.18/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.35 % Memory : 8042.1875MB
% 0.18/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.18/0.35 % CPULimit : 300
% 0.18/0.35 % WCLimit : 300
% 0.18/0.35 % DateTime : Mon Aug 28 04:05:56 EDT 2023
% 0.18/0.35 % CPUTime :
% 0.18/0.35 % Running portfolio for 300 s
% 0.18/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.35 % Number of cores: 8
% 0.18/0.36 % Python version: Python 3.6.8
% 0.18/0.36 % Running in HO mode
% 0.22/0.65 % Total configuration time : 828
% 0.22/0.65 % Estimated wc time : 1656
% 0.22/0.65 % Estimated cpu time (8 cpus) : 207.0
% 0.22/0.72 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.22/0.76 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.22/0.76 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.22/0.77 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.22/0.77 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.22/0.77 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.22/0.77 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 1.49/0.80 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 26.35/4.05 % Solved by lams/15_e_short1.sh.
% 26.35/4.05 % done 26 iterations in 3.224s
% 26.35/4.05 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 26.35/4.05 % SZS output start Refutation
% See solution above
% 26.35/4.05
% 26.35/4.05
% 26.61/4.06 % Terminating...
% 27.16/4.19 % Runner terminated.
% 27.16/4.20 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------