TSTP Solution File: COM149+1 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : COM149+1 : TPTP v8.1.2. Released v6.4.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.fTo7eKDboh true
% Computer : n029.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 18:49:29 EDT 2023
% Result : Theorem 0.55s 0.91s
% Output : Refutation 0.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 43
% Syntax : Number of formulae : 60 ( 12 unt; 29 typ; 0 def)
% Number of atoms : 74 ( 38 equ; 0 cnn)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 440 ( 21 ~; 21 |; 13 &; 376 @)
% ( 0 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 9 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 78 ( 78 >; 0 *; 0 +; 0 <<)
% Number of symbols : 28 ( 26 usr; 5 con; 0-7 aty)
% Number of variables : 101 ( 0 ^; 83 !; 18 ?; 101 :)
% Comments :
%------------------------------------------------------------------------------
thf(vabs_type,type,
vabs: $i > $i > $i > $i ).
thf(sk__73_type,type,
sk__73: $i > $i > $i > $i ).
thf(zip_tseitin_16_type,type,
zip_tseitin_16: $i > $i > $i > $i > $i > $i > $o ).
thf(zip_tseitin_17_type,type,
zip_tseitin_17: $i > $i > $i > $i > $i > $i > $i > $o ).
thf(vsomeType_type,type,
vsomeType: $i > $i ).
thf(vempty_type,type,
vempty: $i ).
thf(visValue_type,type,
visValue: $i > $o ).
thf(sk__72_type,type,
sk__72: $i > $i > $i > $i ).
thf(sk__67_type,type,
sk__67: $i > $i > $i > $i ).
thf(sk__71_type,type,
sk__71: $i > $i > $i > $i ).
thf(vbind_type,type,
vbind: $i > $i > $i > $i ).
thf(vvar_type,type,
vvar: $i > $i ).
thf(varrow_type,type,
varrow: $i > $i > $i ).
thf(vnoType_type,type,
vnoType: $i ).
thf(vlookup_type,type,
vlookup: $i > $i > $i ).
thf(sk__69_type,type,
sk__69: $i > $i > $i > $i ).
thf(sk__75_type,type,
sk__75: $i ).
thf(vtcheck_type,type,
vtcheck: $i > $i > $i > $o ).
thf(sk__68_type,type,
sk__68: $i > $i > $i > $i ).
thf(vreduce_type,type,
vreduce: $i > $i ).
thf(sk__70_type,type,
sk__70: $i > $i > $i > $i ).
thf(vsomeExp_type,type,
vsomeExp: $i > $i ).
thf(zip_tseitin_18_type,type,
zip_tseitin_18: $i > $i > $i > $i > $o ).
thf(sk__74_type,type,
sk__74: $i ).
thf(sk__66_type,type,
sk__66: $i > $i > $i > $i ).
thf(vapp_type,type,
vapp: $i > $i > $i ).
thf('T-Progress-T-var',conjecture,
! [VT: $i,Vx: $i] :
( ( ( vtcheck @ vempty @ ( vvar @ Vx ) @ VT )
& ~ ( visValue @ ( vvar @ Vx ) ) )
=> ? [Veout: $i] :
( ( vreduce @ ( vvar @ Vx ) )
= ( vsomeExp @ Veout ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [VT: $i,Vx: $i] :
( ( ( vtcheck @ vempty @ ( vvar @ Vx ) @ VT )
& ~ ( visValue @ ( vvar @ Vx ) ) )
=> ? [Veout: $i] :
( ( vreduce @ ( vvar @ Vx ) )
= ( vsomeExp @ Veout ) ) ),
inference('cnf.neg',[status(esa)],[T-Progress-T-var]) ).
thf(zip_derived_cl153,plain,
vtcheck @ vempty @ ( vvar @ sk__75 ) @ sk__74,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('T-inv',axiom,
! [Ve: $i,VT: $i,VC: $i] :
( ( vtcheck @ VC @ Ve @ VT )
=> ( ? [Ve1: $i,Ve2: $i,VS: $i] :
( ( Ve
= ( vapp @ Ve1 @ Ve2 ) )
& ( vtcheck @ VC @ Ve1 @ ( varrow @ VS @ VT ) )
& ( vtcheck @ VC @ Ve2 @ VS ) )
| ? [Vx: $i,Ve2: $i,VT1: $i,VT2: $i] :
( ( Ve
= ( vabs @ Vx @ VT1 @ Ve2 ) )
& ( VT
= ( varrow @ VT1 @ VT2 ) )
& ( vtcheck @ ( vbind @ Vx @ VT1 @ VC ) @ Ve2 @ VT2 ) )
| ? [Vx: $i] :
( ( Ve
= ( vvar @ Vx ) )
& ( ( vlookup @ Vx @ VC )
= ( vsomeType @ VT ) ) ) ) ) ).
thf(zf_stmt_1,type,
zip_tseitin_18: $i > $i > $i > $i > $o ).
thf(zf_stmt_2,axiom,
! [Vx: $i,VC: $i,VT: $i,Ve: $i] :
( ( zip_tseitin_18 @ Vx @ VC @ VT @ Ve )
=> ( ( ( vlookup @ Vx @ VC )
= ( vsomeType @ VT ) )
& ( Ve
= ( vvar @ Vx ) ) ) ) ).
thf(zf_stmt_3,type,
zip_tseitin_17: $i > $i > $i > $i > $i > $i > $i > $o ).
thf(zf_stmt_4,axiom,
! [VT2: $i,VT1: $i,Ve2: $i,Vx: $i,VC: $i,VT: $i,Ve: $i] :
( ( zip_tseitin_17 @ VT2 @ VT1 @ Ve2 @ Vx @ VC @ VT @ Ve )
=> ( ( vtcheck @ ( vbind @ Vx @ VT1 @ VC ) @ Ve2 @ VT2 )
& ( VT
= ( varrow @ VT1 @ VT2 ) )
& ( Ve
= ( vabs @ Vx @ VT1 @ Ve2 ) ) ) ) ).
thf(zf_stmt_5,type,
zip_tseitin_16: $i > $i > $i > $i > $i > $i > $o ).
thf(zf_stmt_6,axiom,
! [VS: $i,Ve2: $i,Ve1: $i,VC: $i,VT: $i,Ve: $i] :
( ( zip_tseitin_16 @ VS @ Ve2 @ Ve1 @ VC @ VT @ Ve )
=> ( ( vtcheck @ VC @ Ve2 @ VS )
& ( vtcheck @ VC @ Ve1 @ ( varrow @ VS @ VT ) )
& ( Ve
= ( vapp @ Ve1 @ Ve2 ) ) ) ) ).
thf(zf_stmt_7,axiom,
! [Ve: $i,VT: $i,VC: $i] :
( ( vtcheck @ VC @ Ve @ VT )
=> ( ? [Vx: $i] : ( zip_tseitin_18 @ Vx @ VC @ VT @ Ve )
| ? [Vx: $i,Ve2: $i,VT1: $i,VT2: $i] : ( zip_tseitin_17 @ VT2 @ VT1 @ Ve2 @ Vx @ VC @ VT @ Ve )
| ? [Ve1: $i,Ve2: $i,VS: $i] : ( zip_tseitin_16 @ VS @ Ve2 @ Ve1 @ VC @ VT @ Ve ) ) ) ).
thf(zip_derived_cl150,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( zip_tseitin_16 @ ( sk__68 @ X0 @ X1 @ X2 ) @ ( sk__67 @ X0 @ X1 @ X2 ) @ ( sk__66 @ X0 @ X1 @ X2 ) @ X0 @ X1 @ X2 )
| ( zip_tseitin_17 @ ( sk__72 @ X0 @ X1 @ X2 ) @ ( sk__71 @ X0 @ X1 @ X2 ) @ ( sk__70 @ X0 @ X1 @ X2 ) @ ( sk__69 @ X0 @ X1 @ X2 ) @ X0 @ X1 @ X2 )
| ( zip_tseitin_18 @ ( sk__73 @ X0 @ X1 @ X2 ) @ X0 @ X1 @ X2 )
| ~ ( vtcheck @ X0 @ X2 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_7]) ).
thf(zip_derived_cl392,plain,
( ( zip_tseitin_16 @ ( sk__68 @ vempty @ sk__74 @ ( vvar @ sk__75 ) ) @ ( sk__67 @ vempty @ sk__74 @ ( vvar @ sk__75 ) ) @ ( sk__66 @ vempty @ sk__74 @ ( vvar @ sk__75 ) ) @ vempty @ sk__74 @ ( vvar @ sk__75 ) )
| ( zip_tseitin_17 @ ( sk__72 @ vempty @ sk__74 @ ( vvar @ sk__75 ) ) @ ( sk__71 @ vempty @ sk__74 @ ( vvar @ sk__75 ) ) @ ( sk__70 @ vempty @ sk__74 @ ( vvar @ sk__75 ) ) @ ( sk__69 @ vempty @ sk__74 @ ( vvar @ sk__75 ) ) @ vempty @ sk__74 @ ( vvar @ sk__75 ) )
| ( zip_tseitin_18 @ ( sk__73 @ vempty @ sk__74 @ ( vvar @ sk__75 ) ) @ vempty @ sk__74 @ ( vvar @ sk__75 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl153,zip_derived_cl150]) ).
thf(lookup0,axiom,
! [Vx: $i,VVar0: $i,VCtx0: $i,RESULT: $i] :
( ( ( VVar0 = Vx )
& ( VCtx0 = vempty ) )
=> ( ( RESULT
= ( vlookup @ VVar0 @ VCtx0 ) )
=> ( RESULT = vnoType ) ) ) ).
thf(zip_derived_cl36,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X0 != vempty )
| ( X2 != X1 )
| ( X3 = vnoType )
| ( X3
!= ( vlookup @ X2 @ X0 ) ) ),
inference(cnf,[status(esa)],[lookup0]) ).
thf(zip_derived_cl187,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0
!= ( vlookup @ X1 @ vempty ) )
| ( X0 = vnoType )
| ( X1 != X2 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl36]) ).
thf(zip_derived_cl188,plain,
! [X0: $i,X1: $i] :
( ( X0 = vnoType )
| ( X0
!= ( vlookup @ X1 @ vempty ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl187]) ).
thf(zip_derived_cl189,plain,
! [X0: $i] :
( ( vlookup @ X0 @ vempty )
= vnoType ),
inference(eq_res,[status(thm)],[zip_derived_cl188]) ).
thf(zip_derived_cl148,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ( vlookup @ X1 @ X2 )
= ( vsomeType @ X0 ) )
| ~ ( zip_tseitin_18 @ X1 @ X2 @ X0 @ X3 ) ),
inference(cnf,[status(esa)],[zf_stmt_2]) ).
thf(zip_derived_cl251,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( vnoType
= ( vsomeType @ X0 ) )
| ~ ( zip_tseitin_18 @ X1 @ vempty @ X0 @ X2 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl189,zip_derived_cl148]) ).
thf('DIFF-noType-someType',axiom,
! [VTyp0: $i] :
( vnoType
!= ( vsomeType @ VTyp0 ) ) ).
thf(zip_derived_cl32,plain,
! [X0: $i] :
( vnoType
!= ( vsomeType @ X0 ) ),
inference(cnf,[status(esa)],[DIFF-noType-someType]) ).
thf(zip_derived_cl253,plain,
! [X0: $i,X1: $i,X2: $i] :
~ ( zip_tseitin_18 @ X1 @ vempty @ X0 @ X2 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl251,zip_derived_cl32]) ).
thf(zip_derived_cl394,plain,
( ( zip_tseitin_16 @ ( sk__68 @ vempty @ sk__74 @ ( vvar @ sk__75 ) ) @ ( sk__67 @ vempty @ sk__74 @ ( vvar @ sk__75 ) ) @ ( sk__66 @ vempty @ sk__74 @ ( vvar @ sk__75 ) ) @ vempty @ sk__74 @ ( vvar @ sk__75 ) )
| ( zip_tseitin_17 @ ( sk__72 @ vempty @ sk__74 @ ( vvar @ sk__75 ) ) @ ( sk__71 @ vempty @ sk__74 @ ( vvar @ sk__75 ) ) @ ( sk__70 @ vempty @ sk__74 @ ( vvar @ sk__75 ) ) @ ( sk__69 @ vempty @ sk__74 @ ( vvar @ sk__75 ) ) @ vempty @ sk__74 @ ( vvar @ sk__75 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl392,zip_derived_cl253]) ).
thf(zip_derived_cl147,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( ( X3
= ( vabs @ X0 @ X1 @ X2 ) )
| ~ ( zip_tseitin_17 @ X4 @ X1 @ X2 @ X0 @ X5 @ X6 @ X3 ) ),
inference(cnf,[status(esa)],[zf_stmt_4]) ).
thf(zip_derived_cl423,plain,
( ( zip_tseitin_16 @ ( sk__68 @ vempty @ sk__74 @ ( vvar @ sk__75 ) ) @ ( sk__67 @ vempty @ sk__74 @ ( vvar @ sk__75 ) ) @ ( sk__66 @ vempty @ sk__74 @ ( vvar @ sk__75 ) ) @ vempty @ sk__74 @ ( vvar @ sk__75 ) )
| ( ( vvar @ sk__75 )
= ( vabs @ ( sk__69 @ vempty @ sk__74 @ ( vvar @ sk__75 ) ) @ ( sk__71 @ vempty @ sk__74 @ ( vvar @ sk__75 ) ) @ ( sk__70 @ vempty @ sk__74 @ ( vvar @ sk__75 ) ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl394,zip_derived_cl147]) ).
thf('DIFF-var-abs',axiom,
! [VVar0: $i,VVar1: $i,VTyp0: $i,VExp0: $i] :
( ( vvar @ VVar0 )
!= ( vabs @ VVar1 @ VTyp0 @ VExp0 ) ) ).
thf(zip_derived_cl9,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( vvar @ X3 )
!= ( vabs @ X0 @ X1 @ X2 ) ),
inference(cnf,[status(esa)],[DIFF-var-abs]) ).
thf(zip_derived_cl424,plain,
zip_tseitin_16 @ ( sk__68 @ vempty @ sk__74 @ ( vvar @ sk__75 ) ) @ ( sk__67 @ vempty @ sk__74 @ ( vvar @ sk__75 ) ) @ ( sk__66 @ vempty @ sk__74 @ ( vvar @ sk__75 ) ) @ vempty @ sk__74 @ ( vvar @ sk__75 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl423,zip_derived_cl9]) ).
thf(zip_derived_cl144,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( X2
= ( vapp @ X0 @ X1 ) )
| ~ ( zip_tseitin_16 @ X3 @ X1 @ X0 @ X4 @ X5 @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_6]) ).
thf(zip_derived_cl427,plain,
( ( vvar @ sk__75 )
= ( vapp @ ( sk__66 @ vempty @ sk__74 @ ( vvar @ sk__75 ) ) @ ( sk__67 @ vempty @ sk__74 @ ( vvar @ sk__75 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl424,zip_derived_cl144]) ).
thf('DIFF-var-app',axiom,
! [VVar0: $i,VExp0: $i,VExp1: $i] :
( ( vvar @ VVar0 )
!= ( vapp @ VExp0 @ VExp1 ) ) ).
thf(zip_derived_cl10,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( vvar @ X2 )
!= ( vapp @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[DIFF-var-app]) ).
thf(zip_derived_cl428,plain,
$false,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl427,zip_derived_cl10]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : COM149+1 : TPTP v8.1.2. Released v6.4.0.
% 0.08/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.fTo7eKDboh true
% 0.13/0.34 % Computer : n029.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 : Tue Aug 29 13:54:11 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running portfolio for 300 s
% 0.13/0.34 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.34 % Number of cores: 8
% 0.13/0.34 % Python version: Python 3.6.8
% 0.13/0.35 % Running in FO mode
% 0.53/0.65 % Total configuration time : 435
% 0.53/0.65 % Estimated wc time : 1092
% 0.53/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.53/0.68 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.54/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.54/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.54/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.54/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.54/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.54/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.55/0.91 % Solved by fo/fo13.sh.
% 0.55/0.91 % done 248 iterations in 0.150s
% 0.55/0.91 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.55/0.91 % SZS output start Refutation
% See solution above
% 0.55/0.91
% 0.55/0.91
% 0.55/0.91 % Terminating...
% 0.57/0.96 % Runner terminated.
% 0.57/0.98 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------