TSTP Solution File: SEV190^5 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEV190^5 : TPTP v8.1.2. Bugfixed v5.3.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.NhhhCaKV71 true
% Computer : n006.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 19:59:56 EDT 2023
% Result : Theorem 3.10s 1.03s
% Output : Refutation 3.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 12
% Syntax : Number of formulae : 34 ( 9 unt; 8 typ; 0 def)
% Number of atoms : 92 ( 15 equ; 0 cnn)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 509 ( 28 ~; 25 |; 33 &; 406 @)
% ( 0 <=>; 17 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 9 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 40 ( 40 >; 0 *; 0 +; 0 <<)
% Number of symbols : 9 ( 7 usr; 3 con; 0-3 aty)
% Number of variables : 157 ( 58 ^; 99 !; 0 ?; 157 :)
% Comments :
%------------------------------------------------------------------------------
thf(iS_type,type,
iS: $tType ).
thf(cS_JOIN_CLOS_type,type,
cS_JOIN_CLOS: iS > ( iS > iS > iS ) > ( iS > iS > iS > $o ) > $o ).
thf(cJOIN_type,type,
cJOIN: iS > iS > iS > $o ).
thf(sk__10_type,type,
sk__10: ( iS > $o ) > iS ).
thf(cP_type,type,
cP: iS > iS > iS ).
thf(sk__8_type,type,
sk__8: iS ).
thf(sk__9_type,type,
sk__9: ( iS > $o ) > iS ).
thf(c0_type,type,
c0: iS ).
thf(cS_JOIN_CLOS_def,axiom,
( cS_JOIN_CLOS
= ( ^ [X0: iS,P: iS > iS > iS,JOIN: iS > iS > iS > $o] :
( ! [Xx: iS] : ( JOIN @ Xx @ X0 @ Xx )
& ! [Xy: iS] : ( JOIN @ X0 @ Xy @ Xy )
& ! [Xx: iS,Xy: iS,Xz: iS,Xu: iS,Xv: iS,Xw: iS] :
( ( ( JOIN @ Xx @ Xy @ Xz )
& ( JOIN @ Xu @ Xv @ Xw ) )
=> ( JOIN @ ( P @ Xx @ Xu ) @ ( P @ Xy @ Xv ) @ ( P @ Xz @ Xw ) ) ) ) ) ) ).
thf('0',plain,
( cS_JOIN_CLOS
= ( ^ [X0: iS,P: iS > iS > iS,JOIN: iS > iS > iS > $o] :
( ! [Xx: iS] : ( JOIN @ Xx @ X0 @ Xx )
& ! [Xy: iS] : ( JOIN @ X0 @ Xy @ Xy )
& ! [Xx: iS,Xy: iS,Xz: iS,Xu: iS,Xv: iS,Xw: iS] :
( ( ( JOIN @ Xx @ Xy @ Xz )
& ( JOIN @ Xu @ Xv @ Xw ) )
=> ( JOIN @ ( P @ Xx @ Xu ) @ ( P @ Xy @ Xv ) @ ( P @ Xz @ Xw ) ) ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[cS_JOIN_CLOS_def]) ).
thf('1',plain,
( cS_JOIN_CLOS
= ( ^ [V_1: iS,V_2: iS > iS > iS,V_3: iS > iS > iS > $o] :
( ! [X4: iS] : ( V_3 @ X4 @ V_1 @ X4 )
& ! [X6: iS] : ( V_3 @ V_1 @ X6 @ X6 )
& ! [X8: iS,X10: iS,X12: iS,X14: iS,X16: iS,X18: iS] :
( ( ( V_3 @ X8 @ X10 @ X12 )
& ( V_3 @ X14 @ X16 @ X18 ) )
=> ( V_3 @ ( V_2 @ X8 @ X14 ) @ ( V_2 @ X10 @ X16 ) @ ( V_2 @ X12 @ X18 ) ) ) ) ) ),
define([status(thm)]) ).
thf(cTHM580_pme,conjecture,
( ( ! [Xx: iS,Xy: iS] :
( ( cP @ Xx @ Xy )
!= c0 )
& ! [Xx: iS,Xy: iS,Xu: iS,Xv: iS] :
( ( ( cP @ Xx @ Xu )
= ( cP @ Xy @ Xv ) )
=> ( ( Xx = Xy )
& ( Xu = Xv ) ) )
& ! [X: iS > $o] :
( ( ( X @ c0 )
& ! [Xx: iS,Xy: iS] :
( ( ( X @ Xx )
& ( X @ Xy ) )
=> ( X @ ( cP @ Xx @ Xy ) ) ) )
=> ! [Xx: iS] : ( X @ Xx ) )
& ( cS_JOIN_CLOS @ c0 @ cP @ cJOIN ) )
=> ! [Xx: iS] : ( cJOIN @ Xx @ Xx @ Xx ) ) ).
thf(zf_stmt_0,conjecture,
( ( ! [X4: iS,X6: iS] :
( ( cP @ X4 @ X6 )
!= c0 )
& ! [X8: iS,X10: iS,X12: iS,X14: iS] :
( ( ( cP @ X8 @ X12 )
= ( cP @ X10 @ X14 ) )
=> ( ( X8 = X10 )
& ( X12 = X14 ) ) )
& ! [X16: iS > $o] :
( ( ( X16 @ c0 )
& ! [X18: iS,X20: iS] :
( ( ( X16 @ X18 )
& ( X16 @ X20 ) )
=> ( X16 @ ( cP @ X18 @ X20 ) ) ) )
=> ! [X22: iS] : ( X16 @ X22 ) )
& ! [X24: iS] : ( cJOIN @ X24 @ c0 @ X24 )
& ! [X26: iS] : ( cJOIN @ c0 @ X26 @ X26 )
& ! [X28: iS,X30: iS,X32: iS,X34: iS,X36: iS,X38: iS] :
( ( ( cJOIN @ X28 @ X30 @ X32 )
& ( cJOIN @ X34 @ X36 @ X38 ) )
=> ( cJOIN @ ( cP @ X28 @ X34 ) @ ( cP @ X30 @ X36 ) @ ( cP @ X32 @ X38 ) ) ) )
=> ! [X40: iS] : ( cJOIN @ X40 @ X40 @ X40 ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ( ( ! [X4: iS,X6: iS] :
( ( cP @ X4 @ X6 )
!= c0 )
& ! [X8: iS,X10: iS,X12: iS,X14: iS] :
( ( ( cP @ X8 @ X12 )
= ( cP @ X10 @ X14 ) )
=> ( ( X8 = X10 )
& ( X12 = X14 ) ) )
& ! [X16: iS > $o] :
( ( ( X16 @ c0 )
& ! [X18: iS,X20: iS] :
( ( ( X16 @ X18 )
& ( X16 @ X20 ) )
=> ( X16 @ ( cP @ X18 @ X20 ) ) ) )
=> ! [X22: iS] : ( X16 @ X22 ) )
& ! [X24: iS] : ( cJOIN @ X24 @ c0 @ X24 )
& ! [X26: iS] : ( cJOIN @ c0 @ X26 @ X26 )
& ! [X28: iS,X30: iS,X32: iS,X34: iS,X36: iS,X38: iS] :
( ( ( cJOIN @ X28 @ X30 @ X32 )
& ( cJOIN @ X34 @ X36 @ X38 ) )
=> ( cJOIN @ ( cP @ X28 @ X34 ) @ ( cP @ X30 @ X36 ) @ ( cP @ X32 @ X38 ) ) ) )
=> ! [X40: iS] : ( cJOIN @ X40 @ X40 @ X40 ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl9,plain,
~ ( cJOIN @ sk__8 @ sk__8 @ sk__8 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl5,plain,
! [X6: iS > $o,X7: iS] :
( ( X6 @ X7 )
| ( X6 @ ( sk__9 @ X6 ) )
| ~ ( X6 @ c0 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl46,plain,
! [X0: iS > $o] :
( ~ ( X0 @ c0 )
| ( X0 @ ( sk__9 @ X0 ) ) ),
inference(condensation,[status(thm)],[zip_derived_cl5]) ).
thf(zip_derived_cl4,plain,
! [X6: iS > $o,X7: iS] :
( ( X6 @ X7 )
| ( X6 @ ( sk__10 @ X6 ) )
| ~ ( X6 @ c0 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl10,plain,
! [X0: iS > $o] :
( ~ ( X0 @ c0 )
| ( X0 @ ( sk__10 @ X0 ) ) ),
inference(condensation,[status(thm)],[zip_derived_cl4]) ).
thf(zip_derived_cl3,plain,
! [X6: iS > $o,X7: iS] :
( ( X6 @ X7 )
| ~ ( X6 @ ( cP @ ( sk__9 @ X6 ) @ ( sk__10 @ X6 ) ) )
| ~ ( X6 @ c0 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl8,plain,
! [X10: iS,X11: iS,X12: iS,X13: iS,X14: iS,X15: iS] :
( ~ ( cJOIN @ X10 @ X11 @ X12 )
| ~ ( cJOIN @ X13 @ X14 @ X15 )
| ( cJOIN @ ( cP @ X10 @ X13 ) @ ( cP @ X11 @ X14 ) @ ( cP @ X12 @ X15 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl527,plain,
! [X0: iS] :
( ~ ( ^ [Y0: iS] :
( cJOIN
@ ( ^ [Y1: iS] : Y1
@ Y0 )
@ ( ^ [Y1: iS] : Y1
@ Y0 )
@ ( ^ [Y1: iS] : Y1
@ Y0 ) )
@ c0 )
| ( ^ [Y0: iS] :
( cJOIN
@ ( ^ [Y1: iS] : Y1
@ Y0 )
@ ( ^ [Y1: iS] : Y1
@ Y0 )
@ ( ^ [Y1: iS] : Y1
@ Y0 ) )
@ X0 )
| ~ ( cJOIN
@ ( sk__10
@ ^ [Y0: iS] :
( cJOIN @ Y0
@ ( ^ [Y1: iS] : Y1
@ Y0 )
@ ( ^ [Y1: iS] : Y1
@ Y0 ) ) )
@ ( sk__10
@ ^ [Y0: iS] :
( cJOIN @ Y0 @ Y0
@ ( ^ [Y1: iS] : Y1
@ Y0 ) ) )
@ ( sk__10
@ ^ [Y0: iS] : ( cJOIN @ Y0 @ Y0 @ Y0 ) ) )
| ~ ( cJOIN
@ ( sk__9
@ ^ [Y0: iS] :
( cJOIN @ Y0
@ ( ^ [Y1: iS] : Y1
@ Y0 )
@ ( ^ [Y1: iS] : Y1
@ Y0 ) ) )
@ ( sk__9
@ ^ [Y0: iS] :
( cJOIN @ Y0 @ Y0
@ ( ^ [Y1: iS] : Y1
@ Y0 ) ) )
@ ( sk__9
@ ^ [Y0: iS] : ( cJOIN @ Y0 @ Y0 @ Y0 ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl3,zip_derived_cl8]) ).
thf(zip_derived_cl535,plain,
! [X0: iS] :
( ~ ( cJOIN @ c0 @ c0 @ c0 )
| ( cJOIN @ X0 @ X0 @ X0 )
| ~ ( cJOIN
@ ( sk__10
@ ^ [Y0: iS] : ( cJOIN @ Y0 @ Y0 @ Y0 ) )
@ ( sk__10
@ ^ [Y0: iS] : ( cJOIN @ Y0 @ Y0 @ Y0 ) )
@ ( sk__10
@ ^ [Y0: iS] : ( cJOIN @ Y0 @ Y0 @ Y0 ) ) )
| ~ ( cJOIN
@ ( sk__9
@ ^ [Y0: iS] : ( cJOIN @ Y0 @ Y0 @ Y0 ) )
@ ( sk__9
@ ^ [Y0: iS] : ( cJOIN @ Y0 @ Y0 @ Y0 ) )
@ ( sk__9
@ ^ [Y0: iS] : ( cJOIN @ Y0 @ Y0 @ Y0 ) ) ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl527]) ).
thf(zip_derived_cl7,plain,
! [X9: iS] : ( cJOIN @ c0 @ X9 @ X9 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl536,plain,
! [X0: iS] :
( ( cJOIN @ X0 @ X0 @ X0 )
| ~ ( cJOIN
@ ( sk__10
@ ^ [Y0: iS] : ( cJOIN @ Y0 @ Y0 @ Y0 ) )
@ ( sk__10
@ ^ [Y0: iS] : ( cJOIN @ Y0 @ Y0 @ Y0 ) )
@ ( sk__10
@ ^ [Y0: iS] : ( cJOIN @ Y0 @ Y0 @ Y0 ) ) )
| ~ ( cJOIN
@ ( sk__9
@ ^ [Y0: iS] : ( cJOIN @ Y0 @ Y0 @ Y0 ) )
@ ( sk__9
@ ^ [Y0: iS] : ( cJOIN @ Y0 @ Y0 @ Y0 ) )
@ ( sk__9
@ ^ [Y0: iS] : ( cJOIN @ Y0 @ Y0 @ Y0 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl535,zip_derived_cl7]) ).
thf(zip_derived_cl553,plain,
! [X0: iS] :
( ~ ( ^ [Y0: iS] :
( cJOIN
@ ( ^ [Y1: iS] : Y1
@ Y0 )
@ ( ^ [Y1: iS] : Y1
@ Y0 )
@ ( ^ [Y1: iS] : Y1
@ Y0 ) )
@ c0 )
| ~ ( cJOIN
@ ( sk__9
@ ^ [Y0: iS] : ( cJOIN @ Y0 @ Y0 @ Y0 ) )
@ ( sk__9
@ ^ [Y0: iS] : ( cJOIN @ Y0 @ Y0 @ Y0 ) )
@ ( sk__9
@ ^ [Y0: iS] : ( cJOIN @ Y0 @ Y0 @ Y0 ) ) )
| ( cJOIN @ X0 @ X0 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl10,zip_derived_cl536]) ).
thf(zip_derived_cl556,plain,
! [X0: iS] :
( ~ ( cJOIN @ c0 @ c0 @ c0 )
| ~ ( cJOIN
@ ( sk__9
@ ^ [Y0: iS] : ( cJOIN @ Y0 @ Y0 @ Y0 ) )
@ ( sk__9
@ ^ [Y0: iS] : ( cJOIN @ Y0 @ Y0 @ Y0 ) )
@ ( sk__9
@ ^ [Y0: iS] : ( cJOIN @ Y0 @ Y0 @ Y0 ) ) )
| ( cJOIN @ X0 @ X0 @ X0 ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl553]) ).
thf(zip_derived_cl7_001,plain,
! [X9: iS] : ( cJOIN @ c0 @ X9 @ X9 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl557,plain,
! [X0: iS] :
( ~ ( cJOIN
@ ( sk__9
@ ^ [Y0: iS] : ( cJOIN @ Y0 @ Y0 @ Y0 ) )
@ ( sk__9
@ ^ [Y0: iS] : ( cJOIN @ Y0 @ Y0 @ Y0 ) )
@ ( sk__9
@ ^ [Y0: iS] : ( cJOIN @ Y0 @ Y0 @ Y0 ) ) )
| ( cJOIN @ X0 @ X0 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl556,zip_derived_cl7]) ).
thf(zip_derived_cl700,plain,
! [X0: iS] :
( ~ ( ^ [Y0: iS] :
( cJOIN
@ ( ^ [Y1: iS] : Y1
@ Y0 )
@ ( ^ [Y1: iS] : Y1
@ Y0 )
@ ( ^ [Y1: iS] : Y1
@ Y0 ) )
@ c0 )
| ( cJOIN @ X0 @ X0 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl46,zip_derived_cl557]) ).
thf(zip_derived_cl704,plain,
! [X0: iS] :
( ~ ( cJOIN @ c0 @ c0 @ c0 )
| ( cJOIN @ X0 @ X0 @ X0 ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl700]) ).
thf(zip_derived_cl7_002,plain,
! [X9: iS] : ( cJOIN @ c0 @ X9 @ X9 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl705,plain,
! [X0: iS] : ( cJOIN @ X0 @ X0 @ X0 ),
inference(demod,[status(thm)],[zip_derived_cl704,zip_derived_cl7]) ).
thf(zip_derived_cl710,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl9,zip_derived_cl705]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SEV190^5 : TPTP v8.1.2. Bugfixed v5.3.0.
% 0.12/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.NhhhCaKV71 true
% 0.13/0.34 % Computer : n006.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Thu Aug 24 02:49:38 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
% 0.13/0.35 % Running in HO mode
% 0.20/0.62 % Total configuration time : 828
% 0.20/0.62 % Estimated wc time : 1656
% 0.20/0.62 % Estimated cpu time (8 cpus) : 207.0
% 0.20/0.75 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.20/0.75 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.20/0.75 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.20/0.75 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.20/0.75 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.20/0.75 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.20/0.75 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.20/0.75 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 3.10/1.03 % Solved by lams/40_c_ic.sh.
% 3.10/1.03 % done 54 iterations in 0.262s
% 3.10/1.03 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 3.10/1.03 % SZS output start Refutation
% See solution above
% 3.10/1.03
% 3.10/1.03
% 3.10/1.03 % Terminating...
% 3.42/1.16 % Runner terminated.
% 3.42/1.16 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------