TSTP Solution File: CSR146^3 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : CSR146^3 : TPTP v8.1.2. Released v4.1.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.xHUSBZDHUh 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 : Wed Aug 30 22:08:14 EDT 2023
% Result : Theorem 1.45s 0.95s
% Output : Refutation 1.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 20
% Syntax : Number of formulae : 59 ( 13 unt; 14 typ; 0 def)
% Number of atoms : 130 ( 20 equ; 10 cnn)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 367 ( 27 ~; 14 |; 5 &; 286 @)
% ( 8 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 80 ( 80 >; 0 *; 0 +; 0 <<)
% Number of symbols : 24 ( 14 usr; 13 con; 0-6 aty)
% ( 18 !!; 4 ??; 0 @@+; 0 @@-)
% Number of variables : 68 ( 13 ^; 40 !; 3 ?; 68 :)
% ( 12 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
thf(lCorina_THFTYPE_i_type,type,
lCorina_THFTYPE_i: $i ).
thf(inverse_THFTYPE_IIiioIIiioIoI_type,type,
inverse_THFTYPE_IIiioIIiioIoI: ( $i > $i > $o ) > ( $i > $i > $o ) > $o ).
thf(husband_THFTYPE_IiioI_type,type,
husband_THFTYPE_IiioI: $i > $i > $o ).
thf(n2009_THFTYPE_i_type,type,
n2009_THFTYPE_i: $i ).
thf('#sk1_type',type,
'#sk1': $i ).
thf(wife_THFTYPE_IiioI_type,type,
wife_THFTYPE_IiioI: $i > $i > $o ).
thf(lYearFn_THFTYPE_IiiI_type,type,
lYearFn_THFTYPE_IiiI: $i > $i ).
thf(lChris_THFTYPE_i_type,type,
lChris_THFTYPE_i: $i ).
thf(holdsDuring_THFTYPE_IiooI_type,type,
holdsDuring_THFTYPE_IiooI: $i > $o > $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(ax_003,axiom,
? [X: $i] :
~ ( husband_THFTYPE_IiioI @ lChris_THFTYPE_i @ X ) ).
thf(zip_derived_cl5,plain,
( ??
@ ^ [Y0: $i] : ( (~) @ ( husband_THFTYPE_IiioI @ lChris_THFTYPE_i @ Y0 ) ) ),
inference(cnf,[status(esa)],[ax_003]) ).
thf(zip_derived_cl6,plain,
?? @ ( '#B' @ (~) @ ( husband_THFTYPE_IiioI @ lChris_THFTYPE_i ) ),
inference(lams2combs,[status(thm)],[zip_derived_cl5]) ).
thf(zip_derived_cl11,plain,
~ ( husband_THFTYPE_IiioI @ lChris_THFTYPE_i @ '#sk1' ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl6]) ).
thf(con,conjecture,
? [R: $i > $i > $o] :
( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( R @ lChris_THFTYPE_i @ lCorina_THFTYPE_i ) )
& ( R
!= ( ^ [X: $i,Y: $i] : $true ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ? [R: $i > $i > $o] :
( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( R @ lChris_THFTYPE_i @ lCorina_THFTYPE_i ) )
& ( R
!= ( ^ [X: $i,Y: $i] : $true ) ) ),
inference('cnf.neg',[status(esa)],[con]) ).
thf(zip_derived_cl8,plain,
~ ( ??
@ ^ [Y0: $i > $i > $o] :
( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( Y0 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i ) )
& ( Y0
!= ( ^ [Y1: $i,Y2: $i] : $true ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl9,plain,
~ ( ?? @ ( '#S' @ ( '#B' @ (&) @ ( '#B' @ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) ) @ ( '#C' @ ( '#C' @ '#I' @ lChris_THFTYPE_i ) @ lCorina_THFTYPE_i ) ) ) @ ( '#C' @ != @ ( '#K' @ ( '#K' @ $true ) ) ) ) ),
inference(lams2combs,[status(thm)],[zip_derived_cl8]) ).
thf(zip_derived_cl12,plain,
! [X2: $i > $i > $o] :
~ ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( X2 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i ) )
& ( X2
!= ( '#K' @ ( '#K' @ $true ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl9]) ).
thf(zip_derived_cl13,plain,
! [X2: $i > $i > $o] :
( ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( X2 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i ) )
| ( X2
!= ( '#K' @ ( '#K' @ $true ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl12]) ).
thf(zip_derived_cl14,plain,
! [X2: $i > $i > $o] :
( ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( X2 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i ) )
| ( X2
= ( '#K' @ ( '#K' @ $true ) ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl13]) ).
thf(zip_derived_cl29,plain,
! [X0: $i > $o] :
( ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( '#K' @ X0 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i ) )
| ( ( '#K' @ X0 )
= ( '#K' @ ( '#K' @ $true ) ) ) ),
inference(narrow_applied_variable,[status(thm)],[zip_derived_cl14]) ).
thf(zip_derived_cl30,plain,
! [X0: $i > $o] :
( ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( X0 @ lCorina_THFTYPE_i ) )
| ( ( '#K' @ X0 )
= ( '#K' @ ( '#K' @ $true ) ) ) ),
inference('comb-normalize',[status(thm)],[zip_derived_cl29]) ).
thf(zip_derived_cl88,plain,
! [X0: $i > $o,X1: $i] :
( ( ( '#K' @ X0 @ X1 )
= ( '#K' @ ( '#K' @ $true ) @ X1 ) )
| ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( X0 @ lCorina_THFTYPE_i ) ) ),
inference(ho_complete_eq,[status(thm)],[zip_derived_cl30]) ).
thf(zip_derived_cl98,plain,
! [X0: $i > $o] :
( ( X0
= ( '#K' @ $true ) )
| ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( X0 @ lCorina_THFTYPE_i ) ) ),
inference('comb-normalize',[status(thm)],[zip_derived_cl88]) ).
thf(zip_derived_cl111,plain,
! [X0: $o] :
( ( ( '#K' @ X0 )
= ( '#K' @ $true ) )
| ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( '#K' @ X0 @ lCorina_THFTYPE_i ) ) ),
inference(narrow_applied_variable,[status(thm)],[zip_derived_cl98]) ).
thf(zip_derived_cl112,plain,
! [X0: $o] :
( ( ( '#K' @ X0 )
= ( '#K' @ $true ) )
| ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ X0 ) ),
inference('comb-normalize',[status(thm)],[zip_derived_cl111]) ).
thf(ax_004,axiom,
holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ lChris_THFTYPE_i ) ).
thf(zip_derived_cl7,plain,
holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ lChris_THFTYPE_i ),
inference(cnf,[status(esa)],[ax_004]) ).
thf(zip_derived_cl123,plain,
( ( '#K' @ ( wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ lChris_THFTYPE_i ) )
= ( '#K' @ $true ) ),
inference('sup+',[status(thm)],[zip_derived_cl112,zip_derived_cl7]) ).
thf(zip_derived_cl131,plain,
! [X1: $i] :
( ( '#K' @ ( wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ lChris_THFTYPE_i ) @ X1 )
= ( '#K' @ $true @ X1 ) ),
inference(ho_complete_eq,[status(thm)],[zip_derived_cl123]) ).
thf(zip_derived_cl132,plain,
wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ lChris_THFTYPE_i,
inference('comb-normalize',[status(thm)],[zip_derived_cl131]) ).
thf(ax_001,axiom,
! [REL2: $i > $i > $o,REL1: $i > $i > $o] :
( ( inverse_THFTYPE_IIiioIIiioIoI @ REL1 @ REL2 )
=> ! [INST1: $i,INST2: $i] :
( ( REL1 @ INST1 @ INST2 )
<=> ( REL2 @ INST2 @ INST1 ) ) ) ).
thf(zip_derived_cl1,plain,
( !!
@ ^ [Y0: $i > $i > $o] :
( !!
@ ^ [Y1: $i > $i > $o] :
( ( inverse_THFTYPE_IIiioIIiioIoI @ Y1 @ Y0 )
=> ( !!
@ ^ [Y2: $i] :
( !!
@ ^ [Y3: $i] :
( ( Y1 @ Y2 @ Y3 )
<=> ( Y0 @ Y3 @ Y2 ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[ax_001]) ).
thf(zip_derived_cl2,plain,
!! @ ( '#B' @ !! @ ( '#S' @ ( '#B' @ '#S' @ ( '#B' @ ( '#B' @ (=>) ) @ ( '#C' @ inverse_THFTYPE_IIiioIIiioIoI ) ) ) @ ( '#B' @ ( '#B' @ !! ) @ ( '#B' @ ( '#B' @ ( '#B' @ !! ) ) @ ( '#B' @ ( '#C' @ ( '#B' @ '#S' @ ( '#B' @ ( '#B' @ '#S' ) @ ( '#B' @ ( '#B' @ (<=>) ) ) ) ) ) @ '#C' ) ) ) ) ),
inference(lams2combs,[status(thm)],[zip_derived_cl1]) ).
thf(zip_derived_cl15,plain,
! [X2: $i > $i > $o] : ( !! @ ( '#S' @ ( '#B' @ (=>) @ ( '#C' @ inverse_THFTYPE_IIiioIIiioIoI @ X2 ) ) @ ( '#B' @ !! @ ( '#B' @ ( '#B' @ !! ) @ ( '#C' @ ( '#B' @ '#S' @ ( '#B' @ ( '#B' @ '#S' ) @ ( '#B' @ ( '#B' @ (<=>) ) ) ) ) @ ( '#C' @ X2 ) ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl16,plain,
! [X2: $i > $i > $o,X4: $i > $i > $o] :
( ( inverse_THFTYPE_IIiioIIiioIoI @ X4 @ X2 )
=> ( !! @ ( '#B' @ !! @ ( '#S' @ ( '#B' @ '#S' @ ( '#B' @ ( '#B' @ (<=>) ) @ X4 ) ) @ ( '#C' @ X2 ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl15]) ).
thf(zip_derived_cl17,plain,
! [X2: $i > $i > $o,X4: $i > $i > $o] :
( ~ ( inverse_THFTYPE_IIiioIIiioIoI @ X4 @ X2 )
| ( !! @ ( '#B' @ !! @ ( '#S' @ ( '#B' @ '#S' @ ( '#B' @ ( '#B' @ (<=>) ) @ X4 ) ) @ ( '#C' @ X2 ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl16]) ).
thf(zip_derived_cl18,plain,
! [X2: $i > $i > $o,X4: $i > $i > $o,X6: $i] :
( ( !! @ ( '#S' @ ( '#B' @ (<=>) @ ( X4 @ X6 ) ) @ ( '#C' @ X2 @ X6 ) ) )
| ~ ( inverse_THFTYPE_IIiioIIiioIoI @ X4 @ X2 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl17]) ).
thf(zip_derived_cl19,plain,
! [X2: $i > $i > $o,X4: $i > $i > $o,X6: $i,X8: $i] :
( ( ( X4 @ X6 @ X8 )
<=> ( X2 @ X8 @ X6 ) )
| ~ ( inverse_THFTYPE_IIiioIIiioIoI @ X4 @ X2 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl18]) ).
thf(zip_derived_cl20,plain,
! [X2: $i > $i > $o,X4: $i > $i > $o,X6: $i,X8: $i] :
( ( ( X4 @ X6 @ X8 )
= ( X2 @ X8 @ X6 ) )
| ~ ( inverse_THFTYPE_IIiioIIiioIoI @ X4 @ X2 ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl19]) ).
thf(ax,axiom,
inverse_THFTYPE_IIiioIIiioIoI @ husband_THFTYPE_IiioI @ wife_THFTYPE_IiioI ).
thf(zip_derived_cl0,plain,
inverse_THFTYPE_IIiioIIiioIoI @ husband_THFTYPE_IiioI @ wife_THFTYPE_IiioI,
inference(cnf,[status(esa)],[ax]) ).
thf(zip_derived_cl47,plain,
! [X0: $i,X1: $i] :
( ( husband_THFTYPE_IiioI @ X1 @ X0 )
= ( wife_THFTYPE_IiioI @ X0 @ X1 ) ),
inference('sup+',[status(thm)],[zip_derived_cl20,zip_derived_cl0]) ).
thf(zip_derived_cl394,plain,
husband_THFTYPE_IiioI @ lChris_THFTYPE_i @ lCorina_THFTYPE_i,
inference('sup+',[status(thm)],[zip_derived_cl132,zip_derived_cl47]) ).
thf(zip_derived_cl14_001,plain,
! [X2: $i > $i > $o] :
( ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( X2 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i ) )
| ( X2
= ( '#K' @ ( '#K' @ $true ) ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl13]) ).
thf(zip_derived_cl400,plain,
( ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $true )
| ( husband_THFTYPE_IiioI
= ( '#K' @ ( '#K' @ $true ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl394,zip_derived_cl14]) ).
thf(ax_002,axiom,
! [Z: $i] : ( holdsDuring_THFTYPE_IiooI @ Z @ $true ) ).
thf(zip_derived_cl3,plain,
( !!
@ ^ [Y0: $i] : ( holdsDuring_THFTYPE_IiooI @ Y0 @ $true ) ),
inference(cnf,[status(esa)],[ax_002]) ).
thf(zip_derived_cl4,plain,
!! @ ( '#C' @ holdsDuring_THFTYPE_IiooI @ $true ),
inference(lams2combs,[status(thm)],[zip_derived_cl3]) ).
thf(zip_derived_cl10,plain,
! [X2: $i] : ( holdsDuring_THFTYPE_IiooI @ X2 @ $true ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl4]) ).
thf(zip_derived_cl407,plain,
( husband_THFTYPE_IiioI
= ( '#K' @ ( '#K' @ $true ) ) ),
inference(demod,[status(thm)],[zip_derived_cl400,zip_derived_cl10]) ).
thf(zip_derived_cl431,plain,
! [X1: $i,X2: $i] :
( ( husband_THFTYPE_IiioI @ X1 @ X2 )
= ( '#K' @ ( '#K' @ $true ) @ X1 @ X2 ) ),
inference(ho_complete_eq,[status(thm)],[zip_derived_cl407]) ).
thf(zip_derived_cl433,plain,
! [X1: $i,X2: $i] : ( husband_THFTYPE_IiioI @ X1 @ X2 ),
inference('comb-normalize',[status(thm)],[zip_derived_cl431]) ).
thf(zip_derived_cl493,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl11,zip_derived_cl433]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : CSR146^3 : TPTP v8.1.2. Released v4.1.0.
% 0.12/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.xHUSBZDHUh true
% 0.14/0.35 % Computer : n005.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon Aug 28 11:49:53 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.35 % Number of cores: 8
% 0.14/0.35 % Python version: Python 3.6.8
% 0.14/0.36 % Running in HO mode
% 0.22/0.66 % Total configuration time : 828
% 0.22/0.66 % Estimated wc time : 1656
% 0.22/0.66 % Estimated cpu time (8 cpus) : 207.0
% 0.22/0.74 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.22/0.74 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.22/0.74 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.22/0.76 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.22/0.76 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 1.32/0.76 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 1.32/0.76 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 1.32/0.76 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 1.45/0.95 % Solved by lams/40_b.comb.sh.
% 1.45/0.95 % done 38 iterations in 0.168s
% 1.45/0.95 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.45/0.95 % SZS output start Refutation
% See solution above
% 1.45/0.95
% 1.45/0.95
% 1.45/0.95 % Terminating...
% 2.11/1.06 % Runner terminated.
% 2.32/1.07 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------