TSTP Solution File: SYO223^5 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SYO223^5 : TPTP v8.1.2. Released v4.0.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.HYuymWY5jr true
% Computer : n008.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 05:50:21 EDT 2023
% Result : Theorem 1.35s 0.86s
% Output : Refutation 1.35s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 12
% Syntax : Number of formulae : 52 ( 16 unt; 11 typ; 0 def)
% Number of atoms : 149 ( 23 equ; 23 cnn)
% Maximal formula atoms : 15 ( 3 avg)
% Number of connectives : 349 ( 33 ~; 13 |; 29 &; 224 @)
% ( 14 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 28 ( 28 >; 0 *; 0 +; 0 <<)
% Number of symbols : 20 ( 11 usr; 12 con; 0-6 aty)
% ( 10 !!; 15 ??; 0 @@+; 0 @@-)
% Number of variables : 55 ( 4 ^; 35 !; 4 ?; 55 :)
% ( 12 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
thf(cP_type,type,
cP: $i ).
thf(cJ_type,type,
cJ: $i ).
thf(cUNIQUE_type,type,
cUNIQUE: $i > $o ).
thf(cS_type,type,
cS: $i ).
thf('#sk1_type',type,
'#sk1': $i ).
thf(cLIKE_type,type,
cLIKE: $i > $i > $o ).
thf(s_comb_type,type,
'#S':
!>[A: $tType,B: $tType,C: $tType] : ( ( A > B > C ) > ( A > B ) > A > C ) ).
thf(c_comb_type,type,
'#C':
!>[A: $tType,B: $tType,C: $tType] : ( ( A > B > C ) > B > A > C ) ).
thf(b_comb_type,type,
'#B':
!>[A: $tType,B: $tType,C: $tType] : ( ( A > B ) > ( C > A ) > C > B ) ).
thf(k_comb_type,type,
'#K':
!>[A: $tType,B: $tType] : ( B > A > B ) ).
thf(i_comb_type,type,
'#I':
!>[A: $tType] : ( A > A ) ).
thf(cLING2,conjecture,
( ( ( cUNIQUE @ cS )
& ! [X: $i] :
( ( cUNIQUE @ X )
=> ! [Z: $i] : ( X = Z ) ) )
=> ? [Xan: $i > $o] :
( ( ( Xan @ cP )
<=> ( cLIKE @ cP @ cS ) )
& ( ( Xan @ cJ )
<=> ? [X: $i] :
( ( cUNIQUE @ X )
& ( cLIKE @ cJ @ X ) ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ( ( ( cUNIQUE @ cS )
& ! [X: $i] :
( ( cUNIQUE @ X )
=> ! [Z: $i] : ( X = Z ) ) )
=> ? [Xan: $i > $o] :
( ( ( Xan @ cP )
<=> ( cLIKE @ cP @ cS ) )
& ( ( Xan @ cJ )
<=> ? [X: $i] :
( ( cUNIQUE @ X )
& ( cLIKE @ cJ @ X ) ) ) ) ),
inference('cnf.neg',[status(esa)],[cLING2]) ).
thf(zip_derived_cl0,plain,
~ ( ( ( cUNIQUE @ cS )
& ( !!
@ ^ [Y0: $i] :
( ( cUNIQUE @ Y0 )
=> ( !!
@ ^ [Y1: $i] : ( Y0 = Y1 ) ) ) ) )
=> ( ??
@ ^ [Y0: $i > $o] :
( ( ( Y0 @ cP )
<=> ( cLIKE @ cP @ cS ) )
& ( ( Y0 @ cJ )
<=> ( ??
@ ^ [Y1: $i] :
( ( cUNIQUE @ Y1 )
& ( cLIKE @ cJ @ Y1 ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1,plain,
~ ( ( ( cUNIQUE @ cS )
& ( !! @ ( '#S' @ ( '#B' @ (=>) @ cUNIQUE ) @ ( '#B' @ !! @ (=) ) ) ) )
=> ( ?? @ ( '#S' @ ( '#B' @ (&) @ ( '#C' @ ( '#B' @ (<=>) @ ( '#C' @ '#I' @ cP ) ) @ ( cLIKE @ cP @ cS ) ) ) @ ( '#C' @ ( '#B' @ (<=>) @ ( '#C' @ '#I' @ cJ ) ) @ ( ?? @ ( '#S' @ ( '#B' @ (&) @ cUNIQUE ) @ ( cLIKE @ cJ ) ) ) ) ) ) ),
inference(lams2combs,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl3,plain,
~ ( ?? @ ( '#S' @ ( '#B' @ (&) @ ( '#C' @ ( '#B' @ (<=>) @ ( '#C' @ '#I' @ cP ) ) @ ( cLIKE @ cP @ cS ) ) ) @ ( '#C' @ ( '#B' @ (<=>) @ ( '#C' @ '#I' @ cJ ) ) @ ( ?? @ ( '#S' @ ( '#B' @ (&) @ cUNIQUE ) @ ( cLIKE @ cJ ) ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl1]) ).
thf(zip_derived_cl6,plain,
! [X2: $i > $o] :
~ ( ( ( X2 @ cP )
<=> ( cLIKE @ cP @ cS ) )
& ( ( X2 @ cJ )
<=> ( ?? @ ( '#S' @ ( '#B' @ (&) @ cUNIQUE ) @ ( cLIKE @ cJ ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl3]) ).
thf(zip_derived_cl8,plain,
! [X2: $i > $o] :
( ~ ( ( X2 @ cP )
<=> ( cLIKE @ cP @ cS ) )
| ~ ( ( X2 @ cJ )
<=> ( ?? @ ( '#S' @ ( '#B' @ (&) @ cUNIQUE ) @ ( cLIKE @ cJ ) ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl6]) ).
thf(zip_derived_cl10,plain,
! [X2: $i > $o] :
( ( ( X2 @ cP )
!= ( cLIKE @ cP @ cS ) )
| ( ( X2 @ cJ )
!= ( ?? @ ( '#S' @ ( '#B' @ (&) @ cUNIQUE ) @ ( cLIKE @ cJ ) ) ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl8]) ).
thf(zip_derived_cl43,plain,
! [X0: $o] :
( ( ( '#K' @ X0 @ cP )
!= ( cLIKE @ cP @ cS ) )
| ( ( '#K' @ X0 @ cJ )
!= ( ?? @ ( '#S' @ ( '#B' @ (&) @ cUNIQUE ) @ ( cLIKE @ cJ ) ) ) ) ),
inference(narrow_applied_variable,[status(thm)],[zip_derived_cl10]) ).
thf(zip_derived_cl44,plain,
! [X0: $o] :
( ( X0
!= ( cLIKE @ cP @ cS ) )
| ( X0
!= ( ?? @ ( '#S' @ ( '#B' @ (&) @ cUNIQUE ) @ ( cLIKE @ cJ ) ) ) ) ),
inference('comb-normalize',[status(thm)],[zip_derived_cl43]) ).
thf(zip_derived_cl92,plain,
( ( cLIKE @ cP @ cS )
!= ( ?? @ ( '#S' @ ( '#B' @ (&) @ cUNIQUE ) @ ( cLIKE @ cJ ) ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl44]) ).
thf(zip_derived_cl2,plain,
( ( cUNIQUE @ cS )
& ( !! @ ( '#S' @ ( '#B' @ (=>) @ cUNIQUE ) @ ( '#B' @ !! @ (=) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl1]) ).
thf(zip_derived_cl5,plain,
!! @ ( '#S' @ ( '#B' @ (=>) @ cUNIQUE ) @ ( '#B' @ !! @ (=) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl7,plain,
! [X2: $i] :
( ( cUNIQUE @ X2 )
=> ( !! @ ( $i = X2 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl5]) ).
thf(zip_derived_cl9,plain,
! [X2: $i] :
( ~ ( cUNIQUE @ X2 )
| ( !! @ ( $i = X2 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl7]) ).
thf(zip_derived_cl11,plain,
! [X2: $i,X4: $i] :
( ( X2 = X4 )
| ~ ( cUNIQUE @ X2 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl9]) ).
thf(zip_derived_cl12,plain,
! [X2: $i,X4: $i] :
( ( X2 = X4 )
| ~ ( cUNIQUE @ X2 ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl11]) ).
thf(zip_derived_cl12_001,plain,
! [X2: $i,X4: $i] :
( ( X2 = X4 )
| ~ ( cUNIQUE @ X2 ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl11]) ).
thf(zip_derived_cl4,plain,
cUNIQUE @ cS,
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl14,plain,
! [X0: $i] : ( cS = X0 ),
inference('sup+',[status(thm)],[zip_derived_cl12,zip_derived_cl4]) ).
thf(zip_derived_cl4_002,plain,
cUNIQUE @ cS,
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl19,plain,
! [X0: $i] : ( cUNIQUE @ X0 ),
inference('sup+',[status(thm)],[zip_derived_cl14,zip_derived_cl4]) ).
thf(zip_derived_cl23,plain,
! [X2: $i,X4: $i] : ( X2 = X4 ),
inference(demod,[status(thm)],[zip_derived_cl12,zip_derived_cl19]) ).
thf(zip_derived_cl92_003,plain,
( ( cLIKE @ cP @ cS )
!= ( ?? @ ( '#S' @ ( '#B' @ (&) @ cUNIQUE ) @ ( cLIKE @ cJ ) ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl44]) ).
thf(zip_derived_cl95,plain,
( ~ ( cLIKE @ cP @ cS )
| ~ ( ?? @ ( '#S' @ ( '#B' @ (&) @ cUNIQUE ) @ ( cLIKE @ cJ ) ) ) ),
inference(eq_elim,[status(thm)],[zip_derived_cl92]) ).
thf(zip_derived_cl96,plain,
! [X2: $i] :
( ~ ( ( cUNIQUE @ X2 )
& ( cLIKE @ cJ @ X2 ) )
| ~ ( cLIKE @ cP @ cS ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl95]) ).
thf(zip_derived_cl19_004,plain,
! [X0: $i] : ( cUNIQUE @ X0 ),
inference('sup+',[status(thm)],[zip_derived_cl14,zip_derived_cl4]) ).
thf(zip_derived_cl97,plain,
! [X2: $i] :
( ~ ( $true
& ( cLIKE @ cJ @ X2 ) )
| ~ ( cLIKE @ cP @ cS ) ),
inference(demod,[status(thm)],[zip_derived_cl96,zip_derived_cl19]) ).
thf(zip_derived_cl98,plain,
! [X2: $i] :
( ~ ( cLIKE @ cJ @ X2 )
| ~ ( cLIKE @ cP @ cS ) ),
inference('simplify boolean subterms',[status(thm)],[zip_derived_cl97]) ).
thf(zip_derived_cl99,plain,
! [X0: $i,X1: $i] :
( ~ ( cLIKE @ X0 @ X1 )
| ~ ( cLIKE @ cP @ cS ) ),
inference('sup-',[status(thm)],[zip_derived_cl23,zip_derived_cl98]) ).
thf(zip_derived_cl105,plain,
~ ( cLIKE @ cP @ cS ),
inference(condensation,[status(thm)],[zip_derived_cl99]) ).
thf(zip_derived_cl109,plain,
?? @ ( '#S' @ ( '#B' @ (&) @ cUNIQUE ) @ ( cLIKE @ cJ ) ),
inference(demod,[status(thm)],[zip_derived_cl92,zip_derived_cl105]) ).
thf(zip_derived_cl116,plain,
( ( cUNIQUE @ '#sk1' )
& ( cLIKE @ cJ @ '#sk1' ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl109]) ).
thf(zip_derived_cl19_005,plain,
! [X0: $i] : ( cUNIQUE @ X0 ),
inference('sup+',[status(thm)],[zip_derived_cl14,zip_derived_cl4]) ).
thf(zip_derived_cl23_006,plain,
! [X2: $i,X4: $i] : ( X2 = X4 ),
inference(demod,[status(thm)],[zip_derived_cl12,zip_derived_cl19]) ).
thf(zip_derived_cl23_007,plain,
! [X2: $i,X4: $i] : ( X2 = X4 ),
inference(demod,[status(thm)],[zip_derived_cl12,zip_derived_cl19]) ).
thf(zip_derived_cl105_008,plain,
~ ( cLIKE @ cP @ cS ),
inference(condensation,[status(thm)],[zip_derived_cl99]) ).
thf(zip_derived_cl110,plain,
! [X0: $i] :
~ ( cLIKE @ cP @ X0 ),
inference('sup-',[status(thm)],[zip_derived_cl23,zip_derived_cl105]) ).
thf(zip_derived_cl114,plain,
! [X0: $i,X1: $i] :
~ ( cLIKE @ X0 @ X1 ),
inference('sup-',[status(thm)],[zip_derived_cl23,zip_derived_cl110]) ).
thf(zip_derived_cl117,plain,
( $true
& $false ),
inference(demod,[status(thm)],[zip_derived_cl116,zip_derived_cl19,zip_derived_cl114]) ).
thf(zip_derived_cl118,plain,
$false,
inference('simplify boolean subterms',[status(thm)],[zip_derived_cl117]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYO223^5 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.HYuymWY5jr true
% 0.13/0.35 % Computer : n008.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 00:04:02 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.13/0.36 % Python version: Python 3.6.8
% 0.13/0.36 % 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
% 0.21/0.75 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.21/0.76 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.21/0.76 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.21/0.78 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.21/0.79 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 1.35/0.80 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 1.35/0.80 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 1.35/0.83 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 1.35/0.86 % Solved by lams/40_b.comb.sh.
% 1.35/0.86 % done 17 iterations in 0.045s
% 1.35/0.86 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.35/0.86 % SZS output start Refutation
% See solution above
% 1.35/0.86
% 1.35/0.86
% 1.35/0.86 % Terminating...
% 1.96/0.96 % Runner terminated.
% 1.96/0.97 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------