TSTP Solution File: PUZ107^5 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : PUZ107^5 : 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.R6ohZFhCzC true
% Computer : n022.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 13:31:10 EDT 2023
% Result : Theorem 0.55s 0.79s
% Output : Refutation 0.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 19
% Syntax : Number of formulae : 34 ( 17 unt; 9 typ; 0 def)
% Number of atoms : 87 ( 64 equ; 0 cnn)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 195 ( 21 ~; 9 |; 42 &; 113 @)
% ( 0 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 87 ( 87 >; 0 *; 0 +; 0 <<)
% Number of symbols : 11 ( 9 usr; 4 con; 0-4 aty)
% Number of variables : 94 ( 23 ^; 46 !; 25 ?; 94 :)
% Comments :
%------------------------------------------------------------------------------
thf(cCKB_XPL_type,type,
cCKB_XPL: ( $i > $i > $i > $i > $o ) > ( $i > $i > $o ) > $i > $i > $o ).
thf(c1_type,type,
c1: $i ).
thf(sk__17_type,type,
sk__17: $i > $i > $i ).
thf(cCKB_INF_type,type,
cCKB_INF: ( $i > $i > $o ) > $o ).
thf(sk__15_type,type,
sk__15: $i ).
thf(sk__14_type,type,
sk__14: $i ).
thf(sk__16_type,type,
sk__16: $i > $i > $i ).
thf(cCKB_INJ_type,type,
cCKB_INJ: ( $i > $i > $i > $i > $o ) > $o ).
thf(cCKB_FIN_type,type,
cCKB_FIN: ( $i > $i > $o ) > $o ).
thf(cCKB_FIN_def,axiom,
( cCKB_FIN
= ( ^ [Xk: $i > $i > $o] :
~ ( cCKB_INF @ Xk ) ) ) ).
thf(cCKB_INF_def,axiom,
( cCKB_INF
= ( ^ [Xk: $i > $i > $o] :
? [Xh: $i > $i > $i > $i > $o,Xm: $i,Xn: $i] :
( ( cCKB_XPL @ Xh @ Xk @ Xm @ Xn )
& ( cCKB_INJ @ Xh ) ) ) ) ).
thf(cCKB_XPL_def,axiom,
( cCKB_XPL
= ( ^ [Xh: $i > $i > $i > $i > $o,Xk: $i > $i > $o,Xm: $i,Xn: $i] :
( ( Xk @ Xm @ Xn )
& ! [Xx: $i,Xy: $i] :
( ( Xk @ Xx @ Xy )
=> ? [Xu: $i,Xv: $i] :
( ~ ( ( Xu = Xm )
& ( Xv = Xn ) )
& ( Xk @ Xu @ Xv )
& ( Xh @ Xx @ Xy @ Xu @ Xv ) ) ) ) ) ) ).
thf('0',plain,
( cCKB_XPL
= ( ^ [Xh: $i > $i > $i > $i > $o,Xk: $i > $i > $o,Xm: $i,Xn: $i] :
( ( Xk @ Xm @ Xn )
& ! [Xx: $i,Xy: $i] :
( ( Xk @ Xx @ Xy )
=> ? [Xu: $i,Xv: $i] :
( ~ ( ( Xu = Xm )
& ( Xv = Xn ) )
& ( Xk @ Xu @ Xv )
& ( Xh @ Xx @ Xy @ Xu @ Xv ) ) ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[cCKB_XPL_def]) ).
thf('1',plain,
( cCKB_XPL
= ( ^ [V_1: $i > $i > $i > $i > $o,V_2: $i > $i > $o,V_3: $i,V_4: $i] :
( ( V_2 @ V_3 @ V_4 )
& ! [X4: $i,X6: $i] :
( ( V_2 @ X4 @ X6 )
=> ? [X8: $i,X10: $i] :
( ~ ( ( X8 = V_3 )
& ( X10 = V_4 ) )
& ( V_2 @ X8 @ X10 )
& ( V_1 @ X4 @ X6 @ X8 @ X10 ) ) ) ) ) ),
define([status(thm)]) ).
thf(cCKB_INJ_def,axiom,
( cCKB_INJ
= ( ^ [Xh: $i > $i > $i > $i > $o] :
! [Xx1: $i,Xy1: $i,Xx2: $i,Xy2: $i,Xu: $i,Xv: $i] :
( ( ( Xh @ Xx1 @ Xy1 @ Xu @ Xv )
& ( Xh @ Xx2 @ Xy2 @ Xu @ Xv ) )
=> ( ( Xx1 = Xx2 )
& ( Xy1 = Xy2 ) ) ) ) ) ).
thf('2',plain,
( cCKB_INJ
= ( ^ [Xh: $i > $i > $i > $i > $o] :
! [Xx1: $i,Xy1: $i,Xx2: $i,Xy2: $i,Xu: $i,Xv: $i] :
( ( ( Xh @ Xx1 @ Xy1 @ Xu @ Xv )
& ( Xh @ Xx2 @ Xy2 @ Xu @ Xv ) )
=> ( ( Xx1 = Xx2 )
& ( Xy1 = Xy2 ) ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[cCKB_INJ_def]) ).
thf('3',plain,
( cCKB_INJ
= ( ^ [V_1: $i > $i > $i > $i > $o] :
! [X4: $i,X6: $i,X8: $i,X10: $i,X12: $i,X14: $i] :
( ( ( V_1 @ X4 @ X6 @ X12 @ X14 )
& ( V_1 @ X8 @ X10 @ X12 @ X14 ) )
=> ( ( X4 = X8 )
& ( X6 = X10 ) ) ) ) ),
define([status(thm)]) ).
thf('4',plain,
( cCKB_INF
= ( ^ [Xk: $i > $i > $o] :
? [Xh: $i > $i > $i > $i > $o,Xm: $i,Xn: $i] :
( ( cCKB_XPL @ Xh @ Xk @ Xm @ Xn )
& ( cCKB_INJ @ Xh ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[cCKB_INF_def,'1','3']) ).
thf('5',plain,
( cCKB_INF
= ( ^ [V_1: $i > $i > $o] :
? [X4: $i > $i > $i > $i > $o,X6: $i,X8: $i] :
( ( cCKB_XPL @ X4 @ V_1 @ X6 @ X8 )
& ( cCKB_INJ @ X4 ) ) ) ),
define([status(thm)]) ).
thf('6',plain,
( cCKB_FIN
= ( ^ [Xk: $i > $i > $o] :
~ ( cCKB_INF @ Xk ) ) ),
inference(simplify_rw_rule,[status(thm)],[cCKB_FIN_def,'5','1','3']) ).
thf('7',plain,
( cCKB_FIN
= ( ^ [V_1: $i > $i > $o] :
~ ( cCKB_INF @ V_1 ) ) ),
define([status(thm)]) ).
thf(cL3000,conjecture,
( cCKB_FIN
@ ^ [Xu: $i,Xv: $i] :
( ( Xu = c1 )
& ( Xv = c1 ) ) ) ).
thf(zf_stmt_0,conjecture,
~ ? [X4: $i > $i > $i > $i > $o,X6: $i,X8: $i] :
( ( X6 = c1 )
& ( X8 = c1 )
& ! [X10: $i,X12: $i] :
( ( ( X10 = c1 )
& ( X12 = c1 ) )
=> ? [X14: $i,X16: $i] :
( ~ ( ( X14 = X6 )
& ( X16 = X8 ) )
& ( X14 = c1 )
& ( X16 = c1 )
& ( X4 @ X10 @ X12 @ X14 @ X16 ) ) )
& ! [X18: $i,X20: $i,X22: $i,X24: $i,X26: $i,X28: $i] :
( ( ( X4 @ X18 @ X20 @ X26 @ X28 )
& ( X4 @ X22 @ X24 @ X26 @ X28 ) )
=> ( ( X18 = X22 )
& ( X20 = X24 ) ) ) ) ).
thf(zf_stmt_1,negated_conjecture,
? [X4: $i > $i > $i > $i > $o,X6: $i,X8: $i] :
( ( X6 = c1 )
& ( X8 = c1 )
& ! [X10: $i,X12: $i] :
( ( ( X10 = c1 )
& ( X12 = c1 ) )
=> ? [X14: $i,X16: $i] :
( ~ ( ( X14 = X6 )
& ( X16 = X8 ) )
& ( X14 = c1 )
& ( X16 = c1 )
& ( X4 @ X10 @ X12 @ X14 @ X16 ) ) )
& ! [X18: $i,X20: $i,X22: $i,X24: $i,X26: $i,X28: $i] :
( ( ( X4 @ X18 @ X20 @ X26 @ X28 )
& ( X4 @ X22 @ X24 @ X26 @ X28 ) )
=> ( ( X18 = X22 )
& ( X20 = X24 ) ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1,plain,
! [X0: $i,X1: $i] :
( ( X0 != c1 )
| ( X1 != c1 )
| ( ( sk__16 @ X1 @ X0 )
!= sk__14 )
| ( ( sk__17 @ X1 @ X0 )
!= sk__15 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl12,plain,
( ( ( sk__17 @ c1 @ c1 )
!= sk__15 )
| ( ( sk__16 @ c1 @ c1 )
!= sk__14 ) ),
inference(simplify,[status(thm)],[zip_derived_cl1]) ).
thf(zip_derived_cl2,plain,
! [X0: $i,X1: $i] :
( ( X0 != c1 )
| ( X1 != c1 )
| ( ( sk__17 @ X1 @ X0 )
= c1 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl8,plain,
( ( sk__17 @ c1 @ c1 )
= c1 ),
inference(simplify,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl0,plain,
sk__15 = c1,
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl4,plain,
! [X0: $i,X1: $i] :
( ( X0 != c1 )
| ( X1 != c1 )
| ( ( sk__16 @ X1 @ X0 )
= c1 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl9,plain,
( ( sk__16 @ c1 @ c1 )
= c1 ),
inference(simplify,[status(thm)],[zip_derived_cl4]) ).
thf(zip_derived_cl7,plain,
sk__14 = c1,
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl13,plain,
( ( c1 != c1 )
| ( c1 != c1 ) ),
inference(demod,[status(thm)],[zip_derived_cl12,zip_derived_cl8,zip_derived_cl0,zip_derived_cl9,zip_derived_cl7]) ).
thf(zip_derived_cl14,plain,
$false,
inference(simplify,[status(thm)],[zip_derived_cl13]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : PUZ107^5 : TPTP v8.1.2. Bugfixed v6.2.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.R6ohZFhCzC true
% 0.13/0.35 % Computer : n022.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Sat Aug 26 22:39:40 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.36 % Running in HO mode
% 0.21/0.68 % Total configuration time : 828
% 0.21/0.68 % Estimated wc time : 1656
% 0.21/0.68 % Estimated cpu time (8 cpus) : 207.0
% 0.55/0.76 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.55/0.76 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.55/0.76 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.55/0.76 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.55/0.77 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.55/0.77 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.55/0.77 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.55/0.77 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 0.55/0.79 % Solved by lams/40_c_ic.sh.
% 0.55/0.79 % done 5 iterations in 0.011s
% 0.55/0.79 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.55/0.79 % SZS output start Refutation
% See solution above
% 0.55/0.79
% 0.55/0.79
% 0.58/0.79 % Terminating...
% 0.58/0.87 % Runner terminated.
% 1.82/0.88 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------