TSTP Solution File: SEV300^5 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEV300^5 : TPTP v8.1.2. Bugfixed v6.2.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.QqIBvk7nfM true
% Computer : n005.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 20:00:21 EDT 2023
% Result : Theorem 64.30s 8.91s
% Output : Refutation 64.30s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 26
% Syntax : Number of formulae : 46 ( 12 unt; 14 typ; 0 def)
% Number of atoms : 90 ( 33 equ; 0 cnn)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 197 ( 30 ~; 21 |; 10 &; 120 @)
% ( 8 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 73 ( 73 >; 0 *; 0 +; 0 <<)
% Number of symbols : 13 ( 11 usr; 3 con; 0-3 aty)
% Number of variables : 91 ( 15 ^; 61 !; 15 ?; 91 :)
% Comments :
%------------------------------------------------------------------------------
thf(sk__4_type,type,
sk__4: $i > $i ).
thf(cONE_type,type,
cONE: ( $i > $o ) > $o ).
thf(cZERO_type,type,
cZERO: ( $i > $o ) > $o ).
thf(sk__5_type,type,
sk__5: $i ).
thf(sk__3_type,type,
sk__3: $i > $o ).
thf(sk__6_type,type,
sk__6: $i ).
thf(sk__2_type,type,
sk__2: ( $i > $o ) > $i > $i ).
thf(zip_tseitin_2_type,type,
zip_tseitin_2: $i > $i > ( $i > $o ) > $o ).
thf(cSUCC_type,type,
cSUCC: ( ( $i > $o ) > $o ) > ( $i > $o ) > $o ).
thf(zip_tseitin_0_type,type,
zip_tseitin_0: $i > $i > ( $i > $o ) > $o ).
thf(zip_tseitin_1_type,type,
zip_tseitin_1: $i > ( $i > $o ) > $o ).
thf(cONE_def,axiom,
( cONE
= ( cSUCC @ cZERO ) ) ).
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,
( cONE
= ( cSUCC @ cZERO ) ),
inference(simplify_rw_rule,[status(thm)],[cONE_def,'1','3']) ).
thf('5',plain,
( cONE
= ( cSUCC @ cZERO ) ),
define([status(thm)]) ).
thf(cX6101_EXT_pme,conjecture,
( ! [Xf: $i > $i,Xg: $i > $i] :
( ! [Xx: $i] :
( ( Xf @ Xx )
= ( Xg @ Xx ) )
=> ( Xf = Xg ) )
=> ( cONE
= ( ^ [P: $i > $o] :
? [Xy: $i] :
( P
= ( ^ [Xx: $i,Xy: $i] : ( Xx = Xy )
@ Xy ) ) ) ) ) ).
thf(zf_stmt_0,conjecture,
( ! [X4: $i > $i,X6: $i > $i] :
( ! [X8: $i] :
( ( X4 @ X8 )
= ( X6 @ X8 ) )
=> ( X4 = X6 ) )
=> ! [V_2: $i > $o] :
( ? [X10: $i] :
( ( V_2 @ X10 )
& ~ ? [X12: $i] :
( ( V_2 @ X12 )
& ( X12 != X10 ) ) )
<=> ? [X14: $i] :
! [V_3: $i] :
( ( V_2 @ V_3 )
<=> ( X14 = V_3 ) ) ) ) ).
thf(zf_stmt_1,axiom,
! [V_3: $i,X14: $i,V_2: $i > $o] :
( ( zip_tseitin_2 @ V_3 @ X14 @ V_2 )
<=> ( ( V_2 @ V_3 )
<=> ( X14 = V_3 ) ) ) ).
thf(zip_derived_cl8,plain,
! [X0: $i,X1: $i,X2: $i > $o] :
( ( zip_tseitin_2 @ X0 @ X1 @ X2 )
| ( X1 != X0 )
| ~ ( X2 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl9,plain,
! [X0: $i,X1: $i,X2: $i > $o] :
( ( zip_tseitin_2 @ X0 @ X1 @ X2 )
| ( X1 = X0 )
| ( X2 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zf_stmt_2,axiom,
! [X12: $i,X10: $i,V_2: $i > $o] :
( ( zip_tseitin_0 @ X12 @ X10 @ V_2 )
<=> ( ( X12 != X10 )
& ( V_2 @ X12 ) ) ) ).
thf(zip_derived_cl2,plain,
! [X0: $i,X1: $i,X2: $i > $o] :
( ( zip_tseitin_0 @ X0 @ X1 @ X2 )
| ~ ( X2 @ X0 )
| ( X0 = X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_2]) ).
thf(zf_stmt_3,axiom,
! [X10: $i,V_2: $i > $o] :
( ( zip_tseitin_1 @ X10 @ V_2 )
<=> ( ~ ? [X12: $i] : ( zip_tseitin_0 @ X12 @ X10 @ V_2 )
& ( V_2 @ X10 ) ) ) ).
thf(zip_derived_cl3,plain,
! [X0: $i,X1: $i,X2: $i > $o] :
( ~ ( zip_tseitin_0 @ X0 @ X1 @ X2 )
| ~ ( zip_tseitin_1 @ X1 @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf(zip_derived_cl0,plain,
! [X0: $i,X1: $i,X2: $i > $o] :
( ( X1 != X0 )
| ~ ( zip_tseitin_0 @ X1 @ X0 @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_2]) ).
thf(zf_stmt_4,type,
zip_tseitin_2: $i > $i > ( $i > $o ) > $o ).
thf(zf_stmt_5,type,
zip_tseitin_1: $i > ( $i > $o ) > $o ).
thf(zf_stmt_6,type,
zip_tseitin_0: $i > $i > ( $i > $o ) > $o ).
thf(zf_stmt_7,conjecture,
( ! [X4: $i > $i,X6: $i > $i] :
( ! [X8: $i] :
( ( X4 @ X8 )
= ( X6 @ X8 ) )
=> ( X4 = X6 ) )
=> ! [V_2: $i > $o] :
( ? [X10: $i] : ( zip_tseitin_1 @ X10 @ V_2 )
<=> ? [X14: $i] :
! [V_3: $i] : ( zip_tseitin_2 @ V_3 @ X14 @ V_2 ) ) ) ).
thf(zf_stmt_8,negated_conjecture,
~ ( ! [X4: $i > $i,X6: $i > $i] :
( ! [X8: $i] :
( ( X4 @ X8 )
= ( X6 @ X8 ) )
=> ( X4 = X6 ) )
=> ! [V_2: $i > $o] :
( ? [X10: $i] : ( zip_tseitin_1 @ X10 @ V_2 )
<=> ? [X14: $i] :
! [V_3: $i] : ( zip_tseitin_2 @ V_3 @ X14 @ V_2 ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_7]) ).
thf(zip_derived_cl12,plain,
! [X4: $i] :
( ( zip_tseitin_2 @ X4 @ sk__5 @ sk__3 )
| ( zip_tseitin_1 @ sk__6 @ sk__3 ) ),
inference(cnf,[status(esa)],[zf_stmt_8]) ).
thf(zip_derived_cl11,plain,
! [X2: $i,X3: $i] :
( ~ ( zip_tseitin_2 @ ( sk__4 @ X2 ) @ X2 @ sk__3 )
| ~ ( zip_tseitin_1 @ X3 @ sk__3 ) ),
inference(cnf,[status(esa)],[zf_stmt_8]) ).
thf(zip_derived_cl424,plain,
! [X0: $i] :
( ( zip_tseitin_1 @ sk__6 @ sk__3 )
| ~ ( zip_tseitin_1 @ X0 @ sk__3 ) ),
inference('sup-',[status(thm)],[zip_derived_cl12,zip_derived_cl11]) ).
thf(zip_derived_cl6,plain,
! [X0: $i,X1: $i,X2: $i > $o] :
( ( X1 != X0 )
| ( X2 @ X0 )
| ~ ( zip_tseitin_2 @ X0 @ X1 @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl11_001,plain,
! [X2: $i,X3: $i] :
( ~ ( zip_tseitin_2 @ ( sk__4 @ X2 ) @ X2 @ sk__3 )
| ~ ( zip_tseitin_1 @ X3 @ sk__3 ) ),
inference(cnf,[status(esa)],[zf_stmt_8]) ).
thf(zip_derived_cl5,plain,
! [X0: $i,X1: $i > $o] :
( ( zip_tseitin_1 @ X0 @ X1 )
| ~ ( X1 @ X0 )
| ( zip_tseitin_0 @ ( sk__2 @ X1 @ X0 ) @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf(zip_derived_cl1,plain,
! [X0: $i > $o,X1: $i,X2: $i] :
( ( X0 @ X1 )
| ~ ( zip_tseitin_0 @ X1 @ X2 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_2]) ).
thf(zip_derived_cl12_002,plain,
! [X4: $i] :
( ( zip_tseitin_2 @ X4 @ sk__5 @ sk__3 )
| ( zip_tseitin_1 @ sk__6 @ sk__3 ) ),
inference(cnf,[status(esa)],[zf_stmt_8]) ).
thf(zip_derived_cl7,plain,
! [X0: $i > $o,X1: $i,X2: $i] :
( ~ ( X0 @ X1 )
| ( X2 = X1 )
| ~ ( zip_tseitin_2 @ X1 @ X2 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl4,plain,
! [X0: $i > $o,X1: $i] :
( ( X0 @ X1 )
| ~ ( zip_tseitin_1 @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf(zip_derived_cl7350,plain,
$false,
inference(eprover,[status(thm)],[zip_derived_cl8,zip_derived_cl9,zip_derived_cl2,zip_derived_cl3,zip_derived_cl0,zip_derived_cl424,zip_derived_cl6,zip_derived_cl11,zip_derived_cl5,zip_derived_cl1,zip_derived_cl12,zip_derived_cl7,zip_derived_cl4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SEV300^5 : TPTP v8.1.2. Bugfixed v6.2.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.QqIBvk7nfM true
% 0.14/0.34 % Computer : n005.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 : Thu Aug 24 03:06:09 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
% 0.20/0.64 % Total configuration time : 828
% 0.20/0.64 % Estimated wc time : 1656
% 0.20/0.64 % Estimated cpu time (8 cpus) : 207.0
% 0.20/0.72 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.20/0.72 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.20/0.74 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.20/0.74 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.20/0.74 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.20/0.79 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.20/0.79 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.20/0.79 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 64.30/8.91 % Solved by lams/40_c_ic.sh.
% 64.30/8.91 % done 479 iterations in 8.131s
% 64.30/8.91 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 64.30/8.91 % SZS output start Refutation
% See solution above
% 64.30/8.91
% 64.30/8.91
% 64.30/8.92 % Terminating...
% 65.29/9.01 % Runner terminated.
% 65.29/9.02 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------