TSTP Solution File: ITP023^2 by E---3.1.00
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%------------------------------------------------------------------------------
% File : E---3.1.00
% Problem : ITP023^2 : TPTP v8.1.2. Bugfixed v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n028.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 : Sat May 4 08:06:39 EDT 2024
% Result : Theorem 0.19s 0.53s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 26
% Syntax : Number of formulae : 51 ( 22 unt; 17 typ; 0 def)
% Number of atoms : 60 ( 0 equ; 0 cnn)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 504 ( 23 ~; 20 |; 1 &; 455 @)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 10 avg)
% Number of types : 4 ( 2 usr)
% Number of type conns : 13 ( 13 >; 0 *; 0 +; 0 <<)
% Number of symbols : 16 ( 15 usr; 8 con; 0-2 aty)
% Number of variables : 58 ( 0 ^ 58 !; 0 ?; 58 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_sort1,type,
del: $tType ).
thf(decl_sort2,type,
tp__ty_2Erealax_2Ereal: $tType ).
thf(decl_22,type,
bool: del ).
thf(decl_24,type,
arr: del > del > del ).
thf(decl_25,type,
mem: $i > del > $o ).
thf(decl_26,type,
ap: $i > $i > $i ).
thf(decl_28,type,
p: $i > $o ).
thf(decl_32,type,
ty_2Erealax_2Ereal: del ).
thf(decl_33,type,
inj__ty_2Erealax_2Ereal: tp__ty_2Erealax_2Ereal > $i ).
thf(decl_35,type,
ty_2Epair_2Eprod: del > del > del ).
thf(decl_38,type,
c_2Ereal__topology_2Eball: $i ).
thf(decl_39,type,
c_2Epred__set_2ESUBSET: del > $i ).
thf(decl_40,type,
c_2Epair_2E_2C: del > del > $i ).
thf(decl_41,type,
c_2Ereal__topology_2Ecball: $i ).
thf(decl_42,type,
c_2Ereal__topology_2Ebounded__def: $i ).
thf(decl_55,type,
esk1_0: tp__ty_2Erealax_2Ereal ).
thf(decl_56,type,
esk2_0: tp__ty_2Erealax_2Ereal ).
thf(conj_thm_2Ereal__topology_2EBOUNDED__SUBSET,axiom,
! [X40: $i] :
( ( mem @ X40 @ ( arr @ ty_2Erealax_2Ereal @ bool ) )
=> ! [X41: $i] :
( ( mem @ X41 @ ( arr @ ty_2Erealax_2Ereal @ bool ) )
=> ( ( ( p @ ( ap @ c_2Ereal__topology_2Ebounded__def @ X41 ) )
& ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ ty_2Erealax_2Ereal ) @ X40 ) @ X41 ) ) )
=> ( p @ ( ap @ c_2Ereal__topology_2Ebounded__def @ X40 ) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.jRzawXiDtZ/E---3.1_3846.p',conj_thm_2Ereal__topology_2EBOUNDED__SUBSET) ).
thf(conj_thm_2Ereal__topology_2EBALL__SUBSET__CBALL,axiom,
! [X38: tp__ty_2Erealax_2Ereal,X39: tp__ty_2Erealax_2Ereal] : ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ ty_2Erealax_2Ereal ) @ ( ap @ c_2Ereal__topology_2Eball @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Erealax_2Ereal @ ty_2Erealax_2Ereal ) @ ( inj__ty_2Erealax_2Ereal @ X38 ) ) @ ( inj__ty_2Erealax_2Ereal @ X39 ) ) ) ) @ ( ap @ c_2Ereal__topology_2Ecball @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Erealax_2Ereal @ ty_2Erealax_2Ereal ) @ ( inj__ty_2Erealax_2Ereal @ X38 ) ) @ ( inj__ty_2Erealax_2Ereal @ X39 ) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.jRzawXiDtZ/E---3.1_3846.p',conj_thm_2Ereal__topology_2EBALL__SUBSET__CBALL) ).
thf(conj_thm_2Ereal__topology_2EBOUNDED__CBALL,axiom,
! [X42: tp__ty_2Erealax_2Ereal,X39: tp__ty_2Erealax_2Ereal] : ( p @ ( ap @ c_2Ereal__topology_2Ebounded__def @ ( ap @ c_2Ereal__topology_2Ecball @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Erealax_2Ereal @ ty_2Erealax_2Ereal ) @ ( inj__ty_2Erealax_2Ereal @ X42 ) ) @ ( inj__ty_2Erealax_2Ereal @ X39 ) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.jRzawXiDtZ/E---3.1_3846.p',conj_thm_2Ereal__topology_2EBOUNDED__CBALL) ).
thf(ap_tp,axiom,
! [X3: del,X4: del,X5: $i] :
( ( mem @ X5 @ ( arr @ X3 @ X4 ) )
=> ! [X6: $i] :
( ( mem @ X6 @ X3 )
=> ( mem @ ( ap @ X5 @ X6 ) @ X4 ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.jRzawXiDtZ/E---3.1_3846.p',ap_tp) ).
thf(mem_c_2Epair_2E_2C,axiom,
! [X13: del,X22: del] : ( mem @ ( c_2Epair_2E_2C @ X13 @ X22 ) @ ( arr @ X13 @ ( arr @ X22 @ ( ty_2Epair_2Eprod @ X13 @ X22 ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.jRzawXiDtZ/E---3.1_3846.p',mem_c_2Epair_2E_2C) ).
thf(mem_c_2Ereal__topology_2Ecball,axiom,
mem @ c_2Ereal__topology_2Ecball @ ( arr @ ( ty_2Epair_2Eprod @ ty_2Erealax_2Ereal @ ty_2Erealax_2Ereal ) @ ( arr @ ty_2Erealax_2Ereal @ bool ) ),
file('/export/starexec/sandbox2/tmp/tmp.jRzawXiDtZ/E---3.1_3846.p',mem_c_2Ereal__topology_2Ecball) ).
thf(mem_c_2Ereal__topology_2Eball,axiom,
mem @ c_2Ereal__topology_2Eball @ ( arr @ ( ty_2Epair_2Eprod @ ty_2Erealax_2Ereal @ ty_2Erealax_2Ereal ) @ ( arr @ ty_2Erealax_2Ereal @ bool ) ),
file('/export/starexec/sandbox2/tmp/tmp.jRzawXiDtZ/E---3.1_3846.p',mem_c_2Ereal__topology_2Eball) ).
thf(conj_thm_2Ereal__topology_2EBOUNDED__BALL,conjecture,
! [X46: tp__ty_2Erealax_2Ereal,X39: tp__ty_2Erealax_2Ereal] : ( p @ ( ap @ c_2Ereal__topology_2Ebounded__def @ ( ap @ c_2Ereal__topology_2Eball @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Erealax_2Ereal @ ty_2Erealax_2Ereal ) @ ( inj__ty_2Erealax_2Ereal @ X46 ) ) @ ( inj__ty_2Erealax_2Ereal @ X39 ) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.jRzawXiDtZ/E---3.1_3846.p',conj_thm_2Ereal__topology_2EBOUNDED__BALL) ).
thf(stp_inj_mem_ty_2Erealax_2Ereal,axiom,
! [X17: tp__ty_2Erealax_2Ereal] : ( mem @ ( inj__ty_2Erealax_2Ereal @ X17 ) @ ty_2Erealax_2Ereal ),
file('/export/starexec/sandbox2/tmp/tmp.jRzawXiDtZ/E---3.1_3846.p',stp_inj_mem_ty_2Erealax_2Ereal) ).
thf(c_0_9,plain,
! [X164: $i,X165: $i] :
( ~ ( mem @ X164 @ ( arr @ ty_2Erealax_2Ereal @ bool ) )
| ~ ( mem @ X165 @ ( arr @ ty_2Erealax_2Ereal @ bool ) )
| ~ ( p @ ( ap @ c_2Ereal__topology_2Ebounded__def @ X165 ) )
| ~ ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ ty_2Erealax_2Ereal ) @ X164 ) @ X165 ) )
| ( p @ ( ap @ c_2Ereal__topology_2Ebounded__def @ X164 ) ) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[conj_thm_2Ereal__topology_2EBOUNDED__SUBSET])])])]) ).
thf(c_0_10,plain,
! [X162: tp__ty_2Erealax_2Ereal,X163: tp__ty_2Erealax_2Ereal] : ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ ty_2Erealax_2Ereal ) @ ( ap @ c_2Ereal__topology_2Eball @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Erealax_2Ereal @ ty_2Erealax_2Ereal ) @ ( inj__ty_2Erealax_2Ereal @ X162 ) ) @ ( inj__ty_2Erealax_2Ereal @ X163 ) ) ) ) @ ( ap @ c_2Ereal__topology_2Ecball @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Erealax_2Ereal @ ty_2Erealax_2Ereal ) @ ( inj__ty_2Erealax_2Ereal @ X162 ) ) @ ( inj__ty_2Erealax_2Ereal @ X163 ) ) ) ) ),
inference(variable_rename,[status(thm)],[conj_thm_2Ereal__topology_2EBALL__SUBSET__CBALL]) ).
thf(c_0_11,plain,
! [X166: tp__ty_2Erealax_2Ereal,X167: tp__ty_2Erealax_2Ereal] : ( p @ ( ap @ c_2Ereal__topology_2Ebounded__def @ ( ap @ c_2Ereal__topology_2Ecball @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Erealax_2Ereal @ ty_2Erealax_2Ereal ) @ ( inj__ty_2Erealax_2Ereal @ X166 ) ) @ ( inj__ty_2Erealax_2Ereal @ X167 ) ) ) ) ),
inference(variable_rename,[status(thm)],[conj_thm_2Ereal__topology_2EBOUNDED__CBALL]) ).
thf(c_0_12,plain,
! [X153: del,X154: del,X155: $i,X156: $i] :
( ~ ( mem @ X155 @ ( arr @ X153 @ X154 ) )
| ~ ( mem @ X156 @ X153 )
| ( mem @ ( ap @ X155 @ X156 ) @ X154 ) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ap_tp])])])]) ).
thf(c_0_13,plain,
! [X171: del,X172: del] : ( mem @ ( c_2Epair_2E_2C @ X171 @ X172 ) @ ( arr @ X171 @ ( arr @ X172 @ ( ty_2Epair_2Eprod @ X171 @ X172 ) ) ) ),
inference(variable_rename,[status(thm)],[mem_c_2Epair_2E_2C]) ).
thf(c_0_14,plain,
! [X2: $i,X5: $i] :
( ( p @ ( ap @ c_2Ereal__topology_2Ebounded__def @ X2 ) )
| ~ ( mem @ X2 @ ( arr @ ty_2Erealax_2Ereal @ bool ) )
| ~ ( mem @ X5 @ ( arr @ ty_2Erealax_2Ereal @ bool ) )
| ~ ( p @ ( ap @ c_2Ereal__topology_2Ebounded__def @ X5 ) )
| ~ ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ ty_2Erealax_2Ereal ) @ X2 ) @ X5 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
thf(c_0_15,plain,
! [X16: tp__ty_2Erealax_2Ereal,X17: tp__ty_2Erealax_2Ereal] : ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ ty_2Erealax_2Ereal ) @ ( ap @ c_2Ereal__topology_2Eball @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Erealax_2Ereal @ ty_2Erealax_2Ereal ) @ ( inj__ty_2Erealax_2Ereal @ X16 ) ) @ ( inj__ty_2Erealax_2Ereal @ X17 ) ) ) ) @ ( ap @ c_2Ereal__topology_2Ecball @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Erealax_2Ereal @ ty_2Erealax_2Ereal ) @ ( inj__ty_2Erealax_2Ereal @ X16 ) ) @ ( inj__ty_2Erealax_2Ereal @ X17 ) ) ) ) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
thf(c_0_16,plain,
! [X16: tp__ty_2Erealax_2Ereal,X17: tp__ty_2Erealax_2Ereal] : ( p @ ( ap @ c_2Ereal__topology_2Ebounded__def @ ( ap @ c_2Ereal__topology_2Ecball @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Erealax_2Ereal @ ty_2Erealax_2Ereal ) @ ( inj__ty_2Erealax_2Ereal @ X16 ) ) @ ( inj__ty_2Erealax_2Ereal @ X17 ) ) ) ) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
thf(c_0_17,plain,
! [X2: $i,X5: $i,X4: del,X3: del] :
( ( mem @ ( ap @ X2 @ X5 ) @ X4 )
| ~ ( mem @ X2 @ ( arr @ X3 @ X4 ) )
| ~ ( mem @ X5 @ X3 ) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
thf(c_0_18,plain,
mem @ c_2Ereal__topology_2Ecball @ ( arr @ ( ty_2Epair_2Eprod @ ty_2Erealax_2Ereal @ ty_2Erealax_2Ereal ) @ ( arr @ ty_2Erealax_2Ereal @ bool ) ),
inference(split_conjunct,[status(thm)],[mem_c_2Ereal__topology_2Ecball]) ).
thf(c_0_19,plain,
mem @ c_2Ereal__topology_2Eball @ ( arr @ ( ty_2Epair_2Eprod @ ty_2Erealax_2Ereal @ ty_2Erealax_2Ereal ) @ ( arr @ ty_2Erealax_2Ereal @ bool ) ),
inference(split_conjunct,[status(thm)],[mem_c_2Ereal__topology_2Eball]) ).
thf(c_0_20,plain,
! [X3: del,X4: del] : ( mem @ ( c_2Epair_2E_2C @ X3 @ X4 ) @ ( arr @ X3 @ ( arr @ X4 @ ( ty_2Epair_2Eprod @ X3 @ X4 ) ) ) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
thf(c_0_21,negated_conjecture,
~ ! [X46: tp__ty_2Erealax_2Ereal,X39: tp__ty_2Erealax_2Ereal] : ( p @ ( ap @ c_2Ereal__topology_2Ebounded__def @ ( ap @ c_2Ereal__topology_2Eball @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Erealax_2Ereal @ ty_2Erealax_2Ereal ) @ ( inj__ty_2Erealax_2Ereal @ X46 ) ) @ ( inj__ty_2Erealax_2Ereal @ X39 ) ) ) ) ),
inference(assume_negation,[status(cth)],[conj_thm_2Ereal__topology_2EBOUNDED__BALL]) ).
thf(c_0_22,plain,
! [X16: tp__ty_2Erealax_2Ereal,X17: tp__ty_2Erealax_2Ereal] :
( ( p @ ( ap @ c_2Ereal__topology_2Ebounded__def @ ( ap @ c_2Ereal__topology_2Eball @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Erealax_2Ereal @ ty_2Erealax_2Ereal ) @ ( inj__ty_2Erealax_2Ereal @ X16 ) ) @ ( inj__ty_2Erealax_2Ereal @ X17 ) ) ) ) )
| ~ ( mem @ ( ap @ c_2Ereal__topology_2Ecball @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Erealax_2Ereal @ ty_2Erealax_2Ereal ) @ ( inj__ty_2Erealax_2Ereal @ X16 ) ) @ ( inj__ty_2Erealax_2Ereal @ X17 ) ) ) @ ( arr @ ty_2Erealax_2Ereal @ bool ) )
| ~ ( mem @ ( ap @ c_2Ereal__topology_2Eball @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Erealax_2Ereal @ ty_2Erealax_2Ereal ) @ ( inj__ty_2Erealax_2Ereal @ X16 ) ) @ ( inj__ty_2Erealax_2Ereal @ X17 ) ) ) @ ( arr @ ty_2Erealax_2Ereal @ bool ) ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_15]),c_0_16])]) ).
thf(c_0_23,plain,
! [X2: $i] :
( ( mem @ ( ap @ c_2Ereal__topology_2Ecball @ X2 ) @ ( arr @ ty_2Erealax_2Ereal @ bool ) )
| ~ ( mem @ X2 @ ( ty_2Epair_2Eprod @ ty_2Erealax_2Ereal @ ty_2Erealax_2Ereal ) ) ),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
thf(c_0_24,plain,
! [X2: $i] :
( ( mem @ ( ap @ c_2Ereal__topology_2Eball @ X2 ) @ ( arr @ ty_2Erealax_2Ereal @ bool ) )
| ~ ( mem @ X2 @ ( ty_2Epair_2Eprod @ ty_2Erealax_2Ereal @ ty_2Erealax_2Ereal ) ) ),
inference(spm,[status(thm)],[c_0_17,c_0_19]) ).
thf(c_0_25,plain,
! [X2: $i,X4: del,X3: del] :
( ( mem @ ( ap @ ( c_2Epair_2E_2C @ X3 @ X4 ) @ X2 ) @ ( arr @ X4 @ ( ty_2Epair_2Eprod @ X3 @ X4 ) ) )
| ~ ( mem @ X2 @ X3 ) ),
inference(spm,[status(thm)],[c_0_17,c_0_20]) ).
thf(c_0_26,plain,
! [X169: tp__ty_2Erealax_2Ereal] : ( mem @ ( inj__ty_2Erealax_2Ereal @ X169 ) @ ty_2Erealax_2Ereal ),
inference(variable_rename,[status(thm)],[stp_inj_mem_ty_2Erealax_2Ereal]) ).
thf(c_0_27,negated_conjecture,
~ ( p @ ( ap @ c_2Ereal__topology_2Ebounded__def @ ( ap @ c_2Ereal__topology_2Eball @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Erealax_2Ereal @ ty_2Erealax_2Ereal ) @ ( inj__ty_2Erealax_2Ereal @ esk1_0 ) ) @ ( inj__ty_2Erealax_2Ereal @ esk2_0 ) ) ) ) ),
inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_21])])])]) ).
thf(c_0_28,plain,
! [X16: tp__ty_2Erealax_2Ereal,X17: tp__ty_2Erealax_2Ereal] :
( ( p @ ( ap @ c_2Ereal__topology_2Ebounded__def @ ( ap @ c_2Ereal__topology_2Eball @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Erealax_2Ereal @ ty_2Erealax_2Ereal ) @ ( inj__ty_2Erealax_2Ereal @ X16 ) ) @ ( inj__ty_2Erealax_2Ereal @ X17 ) ) ) ) )
| ~ ( mem @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Erealax_2Ereal @ ty_2Erealax_2Ereal ) @ ( inj__ty_2Erealax_2Ereal @ X16 ) ) @ ( inj__ty_2Erealax_2Ereal @ X17 ) ) @ ( ty_2Epair_2Eprod @ ty_2Erealax_2Ereal @ ty_2Erealax_2Ereal ) ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_23]),c_0_24]) ).
thf(c_0_29,plain,
! [X2: $i,X5: $i,X4: del,X3: del] :
( ( mem @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ X3 @ X4 ) @ X2 ) @ X5 ) @ ( ty_2Epair_2Eprod @ X3 @ X4 ) )
| ~ ( mem @ X5 @ X4 )
| ~ ( mem @ X2 @ X3 ) ),
inference(spm,[status(thm)],[c_0_17,c_0_25]) ).
thf(c_0_30,plain,
! [X16: tp__ty_2Erealax_2Ereal] : ( mem @ ( inj__ty_2Erealax_2Ereal @ X16 ) @ ty_2Erealax_2Ereal ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
thf(c_0_31,negated_conjecture,
~ ( p @ ( ap @ c_2Ereal__topology_2Ebounded__def @ ( ap @ c_2Ereal__topology_2Eball @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Erealax_2Ereal @ ty_2Erealax_2Ereal ) @ ( inj__ty_2Erealax_2Ereal @ esk1_0 ) ) @ ( inj__ty_2Erealax_2Ereal @ esk2_0 ) ) ) ) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
thf(c_0_32,plain,
! [X16: tp__ty_2Erealax_2Ereal,X17: tp__ty_2Erealax_2Ereal] : ( p @ ( ap @ c_2Ereal__topology_2Ebounded__def @ ( ap @ c_2Ereal__topology_2Eball @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Erealax_2Ereal @ ty_2Erealax_2Ereal ) @ ( inj__ty_2Erealax_2Ereal @ X16 ) ) @ ( inj__ty_2Erealax_2Ereal @ X17 ) ) ) ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_29]),c_0_30]),c_0_30])]) ).
thf(c_0_33,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_31,c_0_32])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : ITP023^2 : TPTP v8.1.2. Bugfixed v7.5.0.
% 0.11/0.14 % Command : run_E %s %d THM
% 0.14/0.34 % Computer : n028.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Fri May 3 12:25:33 EDT 2024
% 0.14/0.34 % CPUTime :
% 0.19/0.49 Running higher-order theorem proving
% 0.19/0.49 Running: /export/starexec/sandbox2/solver/bin/eprover-ho --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/tmp/tmp.jRzawXiDtZ/E---3.1_3846.p
% 0.19/0.53 # Version: 3.1.0-ho
% 0.19/0.53 # Preprocessing class: HSLSSMSMSSSNSFA.
% 0.19/0.53 # Scheduled 6 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.53 # Starting new_ho_10 with 900s (3) cores
% 0.19/0.53 # Starting sh2lt with 300s (1) cores
% 0.19/0.53 # Starting new_ho_5 with 300s (1) cores
% 0.19/0.53 # Starting full_lambda_5 with 300s (1) cores
% 0.19/0.53 # Starting sh9 with 300s (1) cores
% 0.19/0.53 # Starting ehoh_best8_lambda with 300s (1) cores
% 0.19/0.53 # sh2lt with pid 3992 completed with status 0
% 0.19/0.53 # Result found by sh2lt
% 0.19/0.53 # Preprocessing class: HSLSSMSMSSSNSFA.
% 0.19/0.53 # Scheduled 6 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.53 # Starting new_ho_10 with 900s (3) cores
% 0.19/0.53 # Starting sh2lt with 300s (1) cores
% 0.19/0.53 # SinE strategy is GSinE(CountFormulas,hypos,5,,4,20000,1.0,true)
% 0.19/0.53 # Search class: HGUSM-FFMS31-DSFFFFNN
% 0.19/0.53 # partial match(1): HGUSM-FFMS31-DSFFFFBN
% 0.19/0.53 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.19/0.53 # Starting new_ho_10 with 163s (1) cores
% 0.19/0.53 # new_ho_10 with pid 4004 completed with status 0
% 0.19/0.53 # Result found by new_ho_10
% 0.19/0.53 # Preprocessing class: HSLSSMSMSSSNSFA.
% 0.19/0.53 # Scheduled 6 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.53 # Starting new_ho_10 with 900s (3) cores
% 0.19/0.53 # Starting sh2lt with 300s (1) cores
% 0.19/0.53 # SinE strategy is GSinE(CountFormulas,hypos,5,,4,20000,1.0,true)
% 0.19/0.53 # Search class: HGUSM-FFMS31-DSFFFFNN
% 0.19/0.53 # partial match(1): HGUSM-FFMS31-DSFFFFBN
% 0.19/0.53 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.19/0.53 # Starting new_ho_10 with 163s (1) cores
% 0.19/0.53 # Preprocessing time : 0.002 s
% 0.19/0.53 # Presaturation interreduction done
% 0.19/0.53
% 0.19/0.53 # Proof found!
% 0.19/0.53 # SZS status Theorem
% 0.19/0.53 # SZS output start CNFRefutation
% See solution above
% 0.19/0.53 # Parsed axioms : 93
% 0.19/0.53 # Removed by relevancy pruning/SinE : 55
% 0.19/0.53 # Initial clauses : 301
% 0.19/0.53 # Removed in clause preprocessing : 250
% 0.19/0.53 # Initial clauses in saturation : 51
% 0.19/0.53 # Processed clauses : 142
% 0.19/0.53 # ...of these trivial : 0
% 0.19/0.53 # ...subsumed : 26
% 0.19/0.53 # ...remaining for further processing : 116
% 0.19/0.53 # Other redundant clauses eliminated : 0
% 0.19/0.53 # Clauses deleted for lack of memory : 0
% 0.19/0.53 # Backward-subsumed : 0
% 0.19/0.53 # Backward-rewritten : 3
% 0.19/0.53 # Generated clauses : 200
% 0.19/0.53 # ...of the previous two non-redundant : 183
% 0.19/0.53 # ...aggressively subsumed : 0
% 0.19/0.53 # Contextual simplify-reflections : 1
% 0.19/0.53 # Paramodulations : 199
% 0.19/0.53 # Factorizations : 0
% 0.19/0.53 # NegExts : 0
% 0.19/0.53 # Equation resolutions : 1
% 0.19/0.53 # Disequality decompositions : 0
% 0.19/0.53 # Total rewrite steps : 6
% 0.19/0.53 # ...of those cached : 1
% 0.19/0.53 # Propositional unsat checks : 0
% 0.19/0.53 # Propositional check models : 0
% 0.19/0.53 # Propositional check unsatisfiable : 0
% 0.19/0.53 # Propositional clauses : 0
% 0.19/0.53 # Propositional clauses after purity: 0
% 0.19/0.53 # Propositional unsat core size : 0
% 0.19/0.53 # Propositional preprocessing time : 0.000
% 0.19/0.53 # Propositional encoding time : 0.000
% 0.19/0.53 # Propositional solver time : 0.000
% 0.19/0.53 # Success case prop preproc time : 0.000
% 0.19/0.53 # Success case prop encoding time : 0.000
% 0.19/0.53 # Success case prop solver time : 0.000
% 0.19/0.53 # Current number of processed clauses : 80
% 0.19/0.53 # Positive orientable unit clauses : 12
% 0.19/0.53 # Positive unorientable unit clauses: 0
% 0.19/0.53 # Negative unit clauses : 0
% 0.19/0.53 # Non-unit-clauses : 68
% 0.19/0.53 # Current number of unprocessed clauses: 125
% 0.19/0.53 # ...number of literals in the above : 620
% 0.19/0.53 # Current number of archived formulas : 0
% 0.19/0.53 # Current number of archived clauses : 36
% 0.19/0.53 # Clause-clause subsumption calls (NU) : 714
% 0.19/0.53 # Rec. Clause-clause subsumption calls : 434
% 0.19/0.53 # Non-unit clause-clause subsumptions : 27
% 0.19/0.53 # Unit Clause-clause subsumption calls : 0
% 0.19/0.53 # Rewrite failures with RHS unbound : 0
% 0.19/0.53 # BW rewrite match attempts : 9
% 0.19/0.53 # BW rewrite match successes : 2
% 0.19/0.53 # Condensation attempts : 142
% 0.19/0.53 # Condensation successes : 0
% 0.19/0.53 # Termbank termtop insertions : 24059
% 0.19/0.53 # Search garbage collected termcells : 3854
% 0.19/0.53
% 0.19/0.53 # -------------------------------------------------
% 0.19/0.53 # User time : 0.025 s
% 0.19/0.53 # System time : 0.006 s
% 0.19/0.53 # Total time : 0.031 s
% 0.19/0.53 # Maximum resident set size: 2592 pages
% 0.19/0.53
% 0.19/0.53 # -------------------------------------------------
% 0.19/0.53 # User time : 0.029 s
% 0.19/0.53 # System time : 0.008 s
% 0.19/0.53 # Total time : 0.037 s
% 0.19/0.53 # Maximum resident set size: 1844 pages
% 0.19/0.53 % E---3.1 exiting
% 0.19/0.53 % E exiting
%------------------------------------------------------------------------------