TSTP Solution File: SEV282^5 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEV282^5 : TPTP v8.1.2. Bugfixed v6.2.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.987Oq3jjUD true
% Computer : n010.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 20:00:18 EDT 2023
% Result : Theorem 0.22s 0.78s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 11
% Syntax : Number of formulae : 17 ( 12 unt; 3 typ; 0 def)
% Number of atoms : 40 ( 15 equ; 2 cnn)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 114 ( 17 ~; 0 |; 18 &; 62 @)
% ( 0 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 67 ( 67 >; 0 *; 0 +; 0 <<)
% Number of symbols : 8 ( 3 usr; 4 con; 0-2 aty)
% ( 2 !!; 3 ??; 0 @@+; 0 @@-)
% Number of variables : 54 ( 32 ^; 10 !; 12 ?; 54 :)
% Comments :
%------------------------------------------------------------------------------
thf(cNAT_type,type,
cNAT: ( ( $i > $o ) > $o ) > $o ).
thf(cZERO_type,type,
cZERO: ( $i > $o ) > $o ).
thf(cSUCC_type,type,
cSUCC: ( ( $i > $o ) > $o ) > ( $i > $o ) > $o ).
thf(cNAT_def,axiom,
( cNAT
= ( ^ [Xn: ( $i > $o ) > $o] :
! [Xp: ( ( $i > $o ) > $o ) > $o] :
( ( ( Xp @ cZERO )
& ! [Xx: ( $i > $o ) > $o] :
( ( Xp @ Xx )
=> ( Xp @ ( cSUCC @ Xx ) ) ) )
=> ( Xp @ Xn ) ) ) ) ).
thf(cSUCC_def,axiom,
( cSUCC
= ( ^ [Xn: ( $i > $o ) > $o,Xp: $i > $o] :
? [Xx: $i] :
( ( Xn
@ ^ [Xt: $i] :
( ( Xt != Xx )
& ( Xp @ Xt ) ) )
& ( Xp @ Xx ) ) ) ) ).
thf('0',plain,
( cSUCC
= ( ^ [Xn: ( $i > $o ) > $o,Xp: $i > $o] :
? [Xx: $i] :
( ( Xn
@ ^ [Xt: $i] :
( ( Xt != Xx )
& ( Xp @ Xt ) ) )
& ( Xp @ Xx ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[cSUCC_def]) ).
thf('1',plain,
( cSUCC
= ( ^ [V_1: ( $i > $o ) > $o,V_2: $i > $o] :
? [X4: $i] :
( ( V_1
@ ^ [V_3: $i] :
( ( V_3 != X4 )
& ( V_2 @ V_3 ) ) )
& ( V_2 @ X4 ) ) ) ),
define([status(thm)]) ).
thf(cZERO_def,axiom,
( cZERO
= ( ^ [Xp: $i > $o] :
~ ? [Xx: $i] : ( Xp @ Xx ) ) ) ).
thf('2',plain,
( cZERO
= ( ^ [Xp: $i > $o] :
~ ? [Xx: $i] : ( Xp @ Xx ) ) ),
inference(simplify_rw_rule,[status(thm)],[cZERO_def]) ).
thf('3',plain,
( cZERO
= ( ^ [V_1: $i > $o] :
~ ? [X4: $i] : ( V_1 @ X4 ) ) ),
define([status(thm)]) ).
thf('4',plain,
( cNAT
= ( ^ [Xn: ( $i > $o ) > $o] :
! [Xp: ( ( $i > $o ) > $o ) > $o] :
( ( ( Xp @ cZERO )
& ! [Xx: ( $i > $o ) > $o] :
( ( Xp @ Xx )
=> ( Xp @ ( cSUCC @ Xx ) ) ) )
=> ( Xp @ Xn ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[cNAT_def,'1','3']) ).
thf('5',plain,
( cNAT
= ( ^ [V_1: ( $i > $o ) > $o] :
! [X4: ( ( $i > $o ) > $o ) > $o] :
( ( ( X4 @ cZERO )
& ! [X6: ( $i > $o ) > $o] :
( ( X4 @ X6 )
=> ( X4 @ ( cSUCC @ X6 ) ) ) )
=> ( X4 @ V_1 ) ) ) ),
define([status(thm)]) ).
thf(cTTTP6100,conjecture,
cNAT @ cZERO ).
thf(zf_stmt_0,conjecture,
! [X4: ( ( $i > $o ) > $o ) > $o] :
( ( ! [X8: ( $i > $o ) > $o] :
( ( X4 @ X8 )
=> ( X4
@ ^ [V_2: $i > $o] :
? [X10: $i] :
( ( V_2 @ X10 )
& ( X8
@ ^ [V_3: $i] :
( ( V_2 @ V_3 )
& ( V_3 != X10 ) ) ) ) ) )
& ( X4
@ ^ [V_1: $i > $o] :
~ ? [X6: $i] : ( V_1 @ X6 ) ) )
=> ( X4
@ ^ [V_4: $i > $o] :
~ ? [X12: $i] : ( V_4 @ X12 ) ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ! [X4: ( ( $i > $o ) > $o ) > $o] :
( ( ! [X8: ( $i > $o ) > $o] :
( ( X4 @ X8 )
=> ( X4
@ ^ [V_2: $i > $o] :
? [X10: $i] :
( ( V_2 @ X10 )
& ( X8
@ ^ [V_3: $i] :
( ( V_2 @ V_3 )
& ( V_3 != X10 ) ) ) ) ) )
& ( X4
@ ^ [V_1: $i > $o] :
~ ? [X6: $i] : ( V_1 @ X6 ) ) )
=> ( X4
@ ^ [V_4: $i > $o] :
~ ? [X12: $i] : ( V_4 @ X12 ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl0,plain,
~ ( !!
@ ^ [Y0: ( ( $i > $o ) > $o ) > $o] :
( ( ( !!
@ ^ [Y1: ( $i > $o ) > $o] :
( ( Y0 @ Y1 )
=> ( Y0
@ ^ [Y2: $i > $o] :
( ??
@ ^ [Y3: $i] :
( ( Y2 @ Y3 )
& ( Y1
@ ^ [Y4: $i] :
( ( Y2 @ Y4 )
& ( Y4 != Y3 ) ) ) ) ) ) ) )
& ( Y0
@ ^ [Y1: $i > $o] :
( (~)
@ ( ??
@ ^ [Y2: $i] : ( Y1 @ Y2 ) ) ) ) )
=> ( Y0
@ ^ [Y1: $i > $o] :
( (~)
@ ( ??
@ ^ [Y2: $i] : ( Y1 @ Y2 ) ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl1,plain,
$false,
inference('simplify boolean subterms',[status(thm)],[zip_derived_cl0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEV282^5 : TPTP v8.1.2. Bugfixed v6.2.0.
% 0.07/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.987Oq3jjUD true
% 0.15/0.35 % Computer : n010.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 : Thu Aug 24 03:05:36 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
% 0.15/0.35 % Python version: Python 3.6.8
% 0.15/0.36 % 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
% 0.22/0.74 % /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
% 0.22/0.76 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.22/0.76 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.22/0.77 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.22/0.77 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 0.22/0.78 % Solved by lams/35_full_unif4.sh.
% 0.22/0.78 % done 0 iterations in 0.009s
% 0.22/0.78 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.22/0.78 % SZS output start Refutation
% See solution above
% 0.22/0.78
% 0.22/0.78
% 0.22/0.78 % Terminating...
% 1.48/0.86 % Runner terminated.
% 1.85/0.88 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------