TSTP Solution File: ITP206^3 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : ITP206^3 : TPTP v8.1.2. Released v8.1.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.twGcP1lHzH 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 : Thu Aug 31 05:22:52 EDT 2023
% Result : Theorem 20.96s 3.26s
% Output : Refutation 20.96s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 26
% Syntax : Number of formulae : 56 ( 16 unt; 21 typ; 0 def)
% Number of atoms : 94 ( 38 equ; 18 cnn)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 377 ( 28 ~; 8 |; 0 &; 305 @)
% ( 0 <=>; 22 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 6 avg)
% Number of types : 6 ( 5 usr)
% Number of type conns : 41 ( 41 >; 0 *; 0 +; 0 <<)
% Number of symbols : 23 ( 16 usr; 11 con; 0-6 aty)
% ( 14 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 54 ( 6 ^; 36 !; 0 ?; 54 :)
% ( 12 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
thf(heap_Heap_ref_a_type,type,
heap_Heap_ref_a: $tType ).
thf(a_type,type,
a: $tType ).
thf(heap_e7401611519738050253t_unit_type,type,
heap_e7401611519738050253t_unit: $tType ).
thf(ref_a_type,type,
ref_a: $tType ).
thf(produc7812382424243267045t_unit_type,type,
produc7812382424243267045t_unit: $tType ).
thf(h2_type,type,
h2: heap_e7401611519738050253t_unit ).
thf(r_type,type,
r: ref_a ).
thf(alloc_a_type,type,
alloc_a: a > heap_e7401611519738050253t_unit > produc7812382424243267045t_unit ).
thf(thesis_type,type,
thesis: $o ).
thf(ref_a2_type,type,
ref_a2: a > heap_Heap_ref_a ).
thf(produc1126150082675451753t_unit_type,type,
produc1126150082675451753t_unit: produc7812382424243267045t_unit > heap_e7401611519738050253t_unit ).
thf(heap_effect_ref_a_type,type,
heap_effect_ref_a: heap_Heap_ref_a > heap_e7401611519738050253t_unit > heap_e7401611519738050253t_unit > ref_a > $o ).
thf(x_type,type,
x: a ).
thf(produc473321116828791851t_unit_type,type,
produc473321116828791851t_unit: produc7812382424243267045t_unit > ref_a ).
thf(heap_heap_ref_a_type,type,
heap_heap_ref_a: ( heap_e7401611519738050253t_unit > produc7812382424243267045t_unit ) > heap_Heap_ref_a ).
thf(h_type,type,
h: heap_e7401611519738050253t_unit ).
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(fact_1_assms,axiom,
heap_effect_ref_a @ ( ref_a2 @ x ) @ h @ h2 @ r ).
thf(zip_derived_cl1,plain,
heap_effect_ref_a @ ( ref_a2 @ x ) @ h @ h2 @ r,
inference(cnf,[status(esa)],[fact_1_assms]) ).
thf(fact_23_ref__def,axiom,
( ref_a2
= ( ^ [V3: a] : ( heap_heap_ref_a @ ( alloc_a @ V3 ) ) ) ) ).
thf(zip_derived_cl34,plain,
( ref_a2
= ( ^ [Y0: a] : ( heap_heap_ref_a @ ( alloc_a @ Y0 ) ) ) ),
inference(cnf,[status(esa)],[fact_23_ref__def]) ).
thf(zip_derived_cl35,plain,
( ref_a2
= ( '#B' @ heap_heap_ref_a @ alloc_a ) ),
inference(lams2combs,[status(thm)],[zip_derived_cl34]) ).
thf(zip_derived_cl302,plain,
! [X1: a] :
( ( ref_a2 @ X1 )
= ( '#B' @ heap_heap_ref_a @ alloc_a @ X1 ) ),
inference(ho_complete_eq,[status(thm)],[zip_derived_cl35]) ).
thf(zip_derived_cl303,plain,
! [X1: a] :
( ( ref_a2 @ X1 )
= ( heap_heap_ref_a @ ( alloc_a @ X1 ) ) ),
inference('comb-normalize',[status(thm)],[zip_derived_cl302]) ).
thf(zip_derived_cl306,plain,
heap_effect_ref_a @ ( heap_heap_ref_a @ ( alloc_a @ x ) ) @ h @ h2 @ r,
inference(demod,[status(thm)],[zip_derived_cl1,zip_derived_cl303]) ).
thf(fact_148_effect__heapE,axiom,
! [F: heap_e7401611519738050253t_unit > produc7812382424243267045t_unit,H: heap_e7401611519738050253t_unit,H2: heap_e7401611519738050253t_unit,R: ref_a] :
( ( heap_effect_ref_a @ ( heap_heap_ref_a @ F ) @ H @ H2 @ R )
=> ~ ( ( H2
= ( produc1126150082675451753t_unit @ ( F @ H ) ) )
=> ( R
!= ( produc473321116828791851t_unit @ ( F @ H ) ) ) ) ) ).
thf(zip_derived_cl64,plain,
( !!
@ ^ [Y0: heap_e7401611519738050253t_unit > produc7812382424243267045t_unit] :
( !!
@ ^ [Y1: heap_e7401611519738050253t_unit] :
( !!
@ ^ [Y2: heap_e7401611519738050253t_unit] :
( !!
@ ^ [Y3: ref_a] :
( ( heap_effect_ref_a @ ( heap_heap_ref_a @ Y0 ) @ Y1 @ Y2 @ Y3 )
=> ( (~)
@ ( ( Y2
= ( produc1126150082675451753t_unit @ ( Y0 @ Y1 ) ) )
=> ( Y3
!= ( produc473321116828791851t_unit @ ( Y0 @ Y1 ) ) ) ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[fact_148_effect__heapE]) ).
thf(zip_derived_cl65,plain,
!! @ ( '#B' @ !! @ ( '#B' @ ( '#B' @ !! ) @ ( '#B' @ ( '#B' @ ( '#B' @ !! ) ) @ ( '#S' @ ( '#B' @ '#S' @ ( '#B' @ ( '#B' @ '#S' ) @ ( '#B' @ ( '#B' @ ( '#B' @ '#S' ) ) @ ( '#B' @ ( '#B' @ ( '#B' @ ( '#B' @ (=>) ) ) ) @ ( '#B' @ heap_effect_ref_a @ heap_heap_ref_a ) ) ) ) ) @ ( '#B' @ ( '#B' @ ( '#B' @ ( '#B' @ (~) ) ) ) @ ( '#S' @ ( '#B' @ '#S' @ ( '#B' @ ( '#B' @ '#C' ) @ ( '#B' @ ( '#B' @ ( '#B' @ '#B' ) ) @ ( '#B' @ ( '#B' @ ( '#B' @ (=>) ) ) @ ( '#B' @ ( '#B' @ ( '#C' @ (=) ) ) @ ( '#B' @ produc1126150082675451753t_unit ) ) ) ) ) ) @ ( '#B' @ ( '#B' @ ( '#C' @ != ) ) @ ( '#B' @ produc473321116828791851t_unit ) ) ) ) ) ) ) ),
inference(lams2combs,[status(thm)],[zip_derived_cl64]) ).
thf(zip_derived_cl260,plain,
! [X2: heap_e7401611519738050253t_unit > produc7812382424243267045t_unit] : ( !! @ ( '#B' @ !! @ ( '#B' @ ( '#B' @ !! ) @ ( '#S' @ ( '#B' @ '#S' @ ( '#B' @ ( '#B' @ '#S' ) @ ( '#B' @ ( '#B' @ ( '#B' @ (=>) ) ) @ ( heap_effect_ref_a @ ( heap_heap_ref_a @ X2 ) ) ) ) ) @ ( '#B' @ ( '#B' @ ( '#B' @ (~) ) ) @ ( '#S' @ ( '#B' @ '#C' @ ( '#B' @ ( '#B' @ '#B' ) @ ( '#B' @ ( '#B' @ (=>) ) @ ( '#B' @ ( '#C' @ (=) ) @ ( '#B' @ produc1126150082675451753t_unit @ X2 ) ) ) ) ) @ ( '#B' @ ( '#C' @ != ) @ ( '#B' @ produc473321116828791851t_unit @ X2 ) ) ) ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl65]) ).
thf(zip_derived_cl261,plain,
! [X2: heap_e7401611519738050253t_unit > produc7812382424243267045t_unit,X4: heap_e7401611519738050253t_unit] : ( !! @ ( '#B' @ !! @ ( '#S' @ ( '#B' @ '#S' @ ( '#B' @ ( '#B' @ (=>) ) @ ( heap_effect_ref_a @ ( heap_heap_ref_a @ X2 ) @ X4 ) ) ) @ ( '#B' @ ( '#B' @ (~) ) @ ( '#C' @ ( '#B' @ '#B' @ ( '#B' @ (=>) @ ( '#C' @ (=) @ ( produc1126150082675451753t_unit @ ( X2 @ X4 ) ) ) ) ) @ ( '#C' @ != @ ( produc473321116828791851t_unit @ ( X2 @ X4 ) ) ) ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl260]) ).
thf(zip_derived_cl262,plain,
! [X2: heap_e7401611519738050253t_unit > produc7812382424243267045t_unit,X4: heap_e7401611519738050253t_unit,X6: heap_e7401611519738050253t_unit] :
( !!
@ ( '#S' @ ( '#B' @ (=>) @ ( heap_effect_ref_a @ ( heap_heap_ref_a @ X2 ) @ X4 @ X6 ) )
@ ( '#B' @ (~)
@ ( '#B'
@ ( (=>)
@ ( X6
= ( produc1126150082675451753t_unit @ ( X2 @ X4 ) ) ) )
@ ( '#C' @ != @ ( produc473321116828791851t_unit @ ( X2 @ X4 ) ) ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl261]) ).
thf(zip_derived_cl263,plain,
! [X2: heap_e7401611519738050253t_unit > produc7812382424243267045t_unit,X4: heap_e7401611519738050253t_unit,X6: heap_e7401611519738050253t_unit,X8: ref_a] :
( ( heap_effect_ref_a @ ( heap_heap_ref_a @ X2 ) @ X4 @ X6 @ X8 )
=> ( (~)
@ ( ( X6
= ( produc1126150082675451753t_unit @ ( X2 @ X4 ) ) )
=> ( X8
!= ( produc473321116828791851t_unit @ ( X2 @ X4 ) ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl262]) ).
thf(zip_derived_cl264,plain,
! [X2: heap_e7401611519738050253t_unit > produc7812382424243267045t_unit,X4: heap_e7401611519738050253t_unit,X6: heap_e7401611519738050253t_unit,X8: ref_a] :
( ~ ( heap_effect_ref_a @ ( heap_heap_ref_a @ X2 ) @ X4 @ X6 @ X8 )
| ~ ( ( X6
= ( produc1126150082675451753t_unit @ ( X2 @ X4 ) ) )
=> ( X8
!= ( produc473321116828791851t_unit @ ( X2 @ X4 ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl263]) ).
thf(zip_derived_cl266,plain,
! [X2: heap_e7401611519738050253t_unit > produc7812382424243267045t_unit,X4: heap_e7401611519738050253t_unit,X6: heap_e7401611519738050253t_unit,X8: ref_a] :
( ( X8
!= ( produc473321116828791851t_unit @ ( X2 @ X4 ) ) )
| ~ ( heap_effect_ref_a @ ( heap_heap_ref_a @ X2 ) @ X4 @ X6 @ X8 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl264]) ).
thf(zip_derived_cl268,plain,
! [X2: heap_e7401611519738050253t_unit > produc7812382424243267045t_unit,X4: heap_e7401611519738050253t_unit,X6: heap_e7401611519738050253t_unit,X8: ref_a] :
( ( X8
= ( produc473321116828791851t_unit @ ( X2 @ X4 ) ) )
| ~ ( heap_effect_ref_a @ ( heap_heap_ref_a @ X2 ) @ X4 @ X6 @ X8 ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl266]) ).
thf(zip_derived_cl2575,plain,
( r
= ( produc473321116828791851t_unit @ ( alloc_a @ x @ h ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl306,zip_derived_cl268]) ).
thf(fact_0_that,axiom,
( ( r
= ( produc473321116828791851t_unit @ ( alloc_a @ x @ h ) ) )
=> ( ( h2
= ( produc1126150082675451753t_unit @ ( alloc_a @ x @ h ) ) )
=> thesis ) ) ).
thf(zip_derived_cl0,plain,
( ( r
= ( produc473321116828791851t_unit @ ( alloc_a @ x @ h ) ) )
=> ( ( h2
= ( produc1126150082675451753t_unit @ ( alloc_a @ x @ h ) ) )
=> thesis ) ),
inference(cnf,[status(esa)],[fact_0_that]) ).
thf(conj_1,conjecture,
thesis ).
thf(zf_stmt_0,negated_conjecture,
~ thesis,
inference('cnf.neg',[status(esa)],[conj_1]) ).
thf(zip_derived_cl88,plain,
~ thesis,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl91,plain,
( ( r
= ( produc473321116828791851t_unit @ ( alloc_a @ x @ h ) ) )
=> ( ( h2
= ( produc1126150082675451753t_unit @ ( alloc_a @ x @ h ) ) )
=> $false ) ),
inference(demod,[status(thm)],[zip_derived_cl0,zip_derived_cl88]) ).
thf(zip_derived_cl92,plain,
( ( r
= ( produc473321116828791851t_unit @ ( alloc_a @ x @ h ) ) )
=> ( (~)
@ ( h2
= ( produc1126150082675451753t_unit @ ( alloc_a @ x @ h ) ) ) ) ),
inference('simplify boolean subterms',[status(thm)],[zip_derived_cl91]) ).
thf(zip_derived_cl93,plain,
( ( r
!= ( produc473321116828791851t_unit @ ( alloc_a @ x @ h ) ) )
| ( h2
!= ( produc1126150082675451753t_unit @ ( alloc_a @ x @ h ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl92]) ).
thf(zip_derived_cl94,plain,
( ( r
!= ( produc473321116828791851t_unit @ ( alloc_a @ x @ h ) ) )
| ( h2
!= ( produc1126150082675451753t_unit @ ( alloc_a @ x @ h ) ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl93]) ).
thf(zip_derived_cl265,plain,
! [X2: heap_e7401611519738050253t_unit > produc7812382424243267045t_unit,X4: heap_e7401611519738050253t_unit,X6: heap_e7401611519738050253t_unit,X8: ref_a] :
( ( X6
= ( produc1126150082675451753t_unit @ ( X2 @ X4 ) ) )
| ~ ( heap_effect_ref_a @ ( heap_heap_ref_a @ X2 ) @ X4 @ X6 @ X8 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl264]) ).
thf(zip_derived_cl267,plain,
! [X2: heap_e7401611519738050253t_unit > produc7812382424243267045t_unit,X4: heap_e7401611519738050253t_unit,X6: heap_e7401611519738050253t_unit,X8: ref_a] :
( ( X6
= ( produc1126150082675451753t_unit @ ( X2 @ X4 ) ) )
| ~ ( heap_effect_ref_a @ ( heap_heap_ref_a @ X2 ) @ X4 @ X6 @ X8 ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl265]) ).
thf(zip_derived_cl306_001,plain,
heap_effect_ref_a @ ( heap_heap_ref_a @ ( alloc_a @ x ) ) @ h @ h2 @ r,
inference(demod,[status(thm)],[zip_derived_cl1,zip_derived_cl303]) ).
thf(zip_derived_cl2364,plain,
( h2
= ( produc1126150082675451753t_unit @ ( alloc_a @ x @ h ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl267,zip_derived_cl306]) ).
thf(zip_derived_cl2421,plain,
( ( r
!= ( produc473321116828791851t_unit @ ( alloc_a @ x @ h ) ) )
| ( h2 != h2 ) ),
inference(demod,[status(thm)],[zip_derived_cl94,zip_derived_cl2364]) ).
thf(zip_derived_cl2422,plain,
( r
!= ( produc473321116828791851t_unit @ ( alloc_a @ x @ h ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl2421]) ).
thf(zip_derived_cl2584,plain,
$false,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2575,zip_derived_cl2422]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.14 % Problem : ITP206^3 : TPTP v8.1.2. Released v8.1.0.
% 0.12/0.15 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.twGcP1lHzH true
% 0.12/0.35 % Computer : n005.cluster.edu
% 0.12/0.35 % Model : x86_64 x86_64
% 0.12/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.35 % Memory : 8042.1875MB
% 0.12/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.35 % CPULimit : 300
% 0.12/0.35 % WCLimit : 300
% 0.12/0.35 % DateTime : Sun Aug 27 16:08:23 EDT 2023
% 0.12/0.35 % CPUTime :
% 0.12/0.35 % Running portfolio for 300 s
% 0.12/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.35 % Number of cores: 8
% 0.12/0.35 % Python version: Python 3.6.8
% 0.12/0.35 % Running in HO mode
% 0.17/0.58 % Total configuration time : 828
% 0.17/0.58 % Estimated wc time : 1656
% 0.17/0.58 % Estimated cpu time (8 cpus) : 207.0
% 0.17/0.68 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.17/0.68 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.17/0.68 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.17/0.68 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.17/0.69 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.17/0.69 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.17/0.69 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.17/0.69 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 1.77/1.18 % /export/starexec/sandbox2/solver/bin/lams/30_b.l.sh running for 90s
% 2.32/1.27 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif.sh running for 56s
% 20.96/3.26 % Solved by lams/40_b.comb.sh.
% 20.96/3.26 % done 250 iterations in 2.548s
% 20.96/3.26 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 20.96/3.26 % SZS output start Refutation
% See solution above
% 20.96/3.27
% 20.96/3.27
% 20.96/3.27 % Terminating...
% 20.96/3.31 % Runner terminated.
% 20.96/3.33 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------