TSTP Solution File: SYO868^1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SYO868^1 : TPTP v8.1.2. Released v7.5.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.oAQUL8VFvl true
% Computer : n002.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 : Fri Sep 1 05:53:02 EDT 2023
% Result : Theorem 1.25s 0.77s
% Output : Refutation 1.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 20
% Syntax : Number of formulae : 28 ( 6 unt; 18 typ; 0 def)
% Number of atoms : 54 ( 2 equ; 0 cnn)
% Maximal formula atoms : 22 ( 5 avg)
% Number of connectives : 131 ( 5 ~; 2 |; 0 &; 96 @)
% ( 1 <=>; 27 =>; 0 <=; 0 <~>)
% Maximal formula depth : 26 ( 9 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 24 ( 24 >; 0 *; 0 +; 0 <<)
% Number of symbols : 20 ( 18 usr; 2 con; 0-2 aty)
% Number of variables : 19 ( 0 ^; 17 !; 2 ?; 19 :)
% Comments :
%------------------------------------------------------------------------------
thf(c_TransSet_type,type,
c_TransSet: $i > $o ).
thf(c_ordinal_type,type,
c_ordinal: $i > $o ).
thf(c_and_type,type,
c_and: $o > $o > $o ).
thf(c_nat_p_type,type,
c_nat_p: $i > $o ).
thf(c_Power_type,type,
c_Power: $i > $i ).
thf(sk__16_type,type,
sk__16: $i > $i > $o ).
thf(c_atleast3_type,type,
c_atleast3: $i > $o ).
thf(c_Empty_type,type,
c_Empty: $i ).
thf(c_ordsucc_type,type,
c_ordsucc: $i > $i ).
thf(c_exactly2_type,type,
c_exactly2: $i > $o ).
thf(c_In_type,type,
c_In: $i > $i > $o ).
thf(c_SNoLt_type,type,
c_SNoLt: $i > $i > $o ).
thf(c_not_type,type,
c_not: $o > $o ).
thf(c_exactly5_type,type,
c_exactly5: $i > $o ).
thf(c_exactly1of2_type,type,
c_exactly1of2: $o > $o > $o ).
thf(c_binrep_type,type,
c_binrep: $i > $i > $i ).
thf(c_atleast5_type,type,
c_atleast5: $i > $o ).
thf(c_atleast2_type,type,
c_atleast2: $i > $o ).
thf(ax63,axiom,
! [X0: $i] :
( ( c_nat_p @ X0 )
<=> ! [X1: $i > $o] :
( ( X1 @ c_Empty )
=> ( ! [X2: $i] :
( ( X1 @ X2 )
=> ( X1 @ ( c_ordsucc @ X2 ) ) )
=> ( X1 @ X0 ) ) ) ) ).
thf(zip_derived_cl74,plain,
! [X0: $i] :
( ( c_nat_p @ X0 )
| ( sk__16 @ X0 @ c_Empty ) ),
inference(cnf,[status(esa)],[ax63]) ).
thf(conj,conjecture,
! [X0: $i] :
( ( c_In @ X0 @ c_Empty )
=> ! [X1: $i] :
( ( c_In @ X1 @ X0 )
=> ! [X2: $i] :
( ( c_In @ X2 @ X1 )
=> ? [X3: $i] :
! [X4: $i] :
( ( ( c_ordinal @ X3 )
=> ( c_and @ ( c_exactly2 @ X3 ) @ ( c_not @ ( c_exactly5 @ X4 ) ) ) )
=> ( ( ( ( c_ordinal @ X3 )
=> ( c_exactly2 @ X3 ) )
=> ( ( c_atleast2 @ X3 )
=> ( ( ( ( c_not @ ( c_atleast2 @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) ) )
=> ( X3 = X4 ) )
=> ( c_atleast3 @ X3 ) )
=> ( c_and @ ( c_atleast5 @ X2 ) @ ( c_not @ ( c_exactly1of2 @ ( c_SNoLt @ X2 @ ( c_binrep @ ( c_Power @ ( c_Power @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) @ c_Empty ) ) @ ( c_TransSet @ X4 ) ) ) ) ) ) )
=> ( c_nat_p @ X3 ) ) ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [X0: $i] :
( ( c_In @ X0 @ c_Empty )
=> ! [X1: $i] :
( ( c_In @ X1 @ X0 )
=> ! [X2: $i] :
( ( c_In @ X2 @ X1 )
=> ? [X3: $i] :
! [X4: $i] :
( ( ( c_ordinal @ X3 )
=> ( c_and @ ( c_exactly2 @ X3 ) @ ( c_not @ ( c_exactly5 @ X4 ) ) ) )
=> ( ( ( ( c_ordinal @ X3 )
=> ( c_exactly2 @ X3 ) )
=> ( ( c_atleast2 @ X3 )
=> ( ( ( ( c_not @ ( c_atleast2 @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) ) )
=> ( X3 = X4 ) )
=> ( c_atleast3 @ X3 ) )
=> ( c_and @ ( c_atleast5 @ X2 ) @ ( c_not @ ( c_exactly1of2 @ ( c_SNoLt @ X2 @ ( c_binrep @ ( c_Power @ ( c_Power @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) @ c_Empty ) ) @ ( c_TransSet @ X4 ) ) ) ) ) ) )
=> ( c_nat_p @ X3 ) ) ) ) ) ),
inference('cnf.neg',[status(esa)],[conj]) ).
thf(zip_derived_cl101,plain,
! [X0: $i] :
~ ( c_nat_p @ X0 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl115,plain,
! [X0: $i] : ( sk__16 @ X0 @ c_Empty ),
inference(demod,[status(thm)],[zip_derived_cl74,zip_derived_cl101]) ).
thf(zip_derived_cl73,plain,
! [X0: $i] :
( ( c_nat_p @ X0 )
| ~ ( sk__16 @ X0 @ X0 ) ),
inference(cnf,[status(esa)],[ax63]) ).
thf(zip_derived_cl101_001,plain,
! [X0: $i] :
~ ( c_nat_p @ X0 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl212,plain,
! [X0: $i] :
~ ( sk__16 @ X0 @ X0 ),
inference(demod,[status(thm)],[zip_derived_cl73,zip_derived_cl101]) ).
thf(zip_derived_cl213,plain,
$false,
inference('sup-',[status(thm)],[zip_derived_cl115,zip_derived_cl212]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYO868^1 : TPTP v8.1.2. Released v7.5.0.
% 0.13/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.oAQUL8VFvl true
% 0.14/0.34 % Computer : n002.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Sat Aug 26 06:43:03 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.14/0.34 % Running portfolio for 300 s
% 0.14/0.34 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.34 % Number of cores: 8
% 0.14/0.35 % Python version: Python 3.6.8
% 0.14/0.35 % Running in HO mode
% 0.21/0.66 % Total configuration time : 828
% 0.21/0.66 % Estimated wc time : 1656
% 0.21/0.66 % Estimated cpu time (8 cpus) : 207.0
% 0.21/0.70 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.21/0.72 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 1.25/0.75 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 1.25/0.75 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 1.25/0.75 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 1.25/0.76 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 1.25/0.76 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 1.25/0.77 % Solved by lams/40_c.s.sh.
% 1.25/0.77 % done 25 iterations in 0.051s
% 1.25/0.77 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.25/0.77 % SZS output start Refutation
% See solution above
% 1.25/0.77
% 1.25/0.77
% 1.25/0.77 % Terminating...
% 1.42/0.85 % Runner terminated.
% 1.77/0.86 % Zipperpin 1.5 exiting
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