%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : PRO010+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n012.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 : 600s
% DateTime : Mon Jul 18 17:50:16 EDT 2022
% Result : Theorem 15.07s 15.24s
% Output : CNFRefutation 15.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 35
% Number of leaves : 16
% Syntax : Number of formulae : 158 ( 38 unt; 0 def)
% Number of atoms : 447 ( 41 equ)
% Maximal formula atoms : 27 ( 2 avg)
% Number of connectives : 457 ( 168 ~; 185 |; 82 &)
% ( 6 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 14 ( 11 usr; 1 prp; 0-3 aty)
% Number of functors : 14 ( 14 usr; 6 con; 0-2 aty)
% Number of variables : 184 ( 5 sgn 97 !; 37 ?)
% Comments :
%------------------------------------------------------------------------------
fof(sos_01,axiom,
! [X2] :
( activity_occurrence(X2)
=> ? [X3] :
( activity(X3)
& occurrence_of(X2,X3) ) ) ).
fof(sos_02,axiom,
! [X4,X5,X6] :
( ( occurrence_of(X4,X5)
& occurrence_of(X4,X6) )
=> X5 = X6 ) ).
fof(sos_07,axiom,
! [X16,X17] :
( occurrence_of(X16,X17)
=> ( arboreal(X16)
<=> atomic(X17) ) ) ).
fof(sos_24,axiom,
! [X67,X68] :
( subactivity_occurrence(X67,X68)
=> ( activity_occurrence(X67)
& activity_occurrence(X68) ) ) ).
fof(sos_34,axiom,
! [X102,X103] :
( leaf_occ(X102,X103)
<=> ? [X104] :
( occurrence_of(X103,X104)
& subactivity_occurrence(X102,X103)
& leaf(X102,X104) ) ) ).
fof(sos_45,axiom,
! [X145,X146] :
( ( leaf(X145,X146)
& ~ atomic(X146) )
=> ? [X147] :
( occurrence_of(X147,X146)
& leaf_occ(X145,X147) ) ) ).
fof(sos_46,axiom,
! [X148,X149,X150] :
( min_precedes(X148,X149,X150)
=> arboreal(X148) ) ).
fof(sos_49,axiom,
! [X161] :
( occurrence_of(X161,tptp0)
=> ? [X162,X163,X164] :
( occurrence_of(X162,tptp3)
& root_occ(X162,X161)
& occurrence_of(X163,tptp4)
& next_subocc(X162,X163,tptp0)
& ( occurrence_of(X164,tptp1)
| occurrence_of(X164,tptp2) )
& next_subocc(X163,X164,tptp0)
& leaf_occ(X164,X161) ) ) ).
fof(sos_51,axiom,
~ atomic(tptp0) ).
fof(sos_61,axiom,
tptp1 != tptp2 ).
fof(goals,conjecture,
! [X165] :
( occurrence_of(X165,tptp0)
=> ? [X166,X167] :
( leaf_occ(X167,X165)
& ( occurrence_of(X167,tptp1)
=> ~ ? [X168] :
( occurrence_of(X168,tptp2)
& min_precedes(X166,X168,tptp0) ) )
& ( occurrence_of(X167,tptp2)
=> ~ ? [X169] :
( occurrence_of(X169,tptp1)
& min_precedes(X166,X169,tptp0) ) ) ) ) ).
fof(subgoal_0,plain,
! [X165] :
( occurrence_of(X165,tptp0)
=> ? [X166,X167] :
( leaf_occ(X167,X165)
& ( occurrence_of(X167,tptp1)
=> ~ ? [X168] :
( occurrence_of(X168,tptp2)
& min_precedes(X166,X168,tptp0) ) )
& ( occurrence_of(X167,tptp2)
=> ~ ? [X169] :
( occurrence_of(X169,tptp1)
& min_precedes(X166,X169,tptp0) ) ) ) ),
inference(strip,[],[goals]) ).
fof(negate_0_0,plain,
~ ! [X165] :
( occurrence_of(X165,tptp0)
=> ? [X166,X167] :
( leaf_occ(X167,X165)
& ( occurrence_of(X167,tptp1)
=> ~ ? [X168] :
( occurrence_of(X168,tptp2)
& min_precedes(X166,X168,tptp0) ) )
& ( occurrence_of(X167,tptp2)
=> ~ ? [X169] :
( occurrence_of(X169,tptp1)
& min_precedes(X166,X169,tptp0) ) ) ) ),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
! [X2] :
( ~ activity_occurrence(X2)
| ? [X3] :
( activity(X3)
& occurrence_of(X2,X3) ) ),
inference(canonicalize,[],[sos_01]) ).
fof(normalize_0_1,plain,
! [X2] :
( ~ activity_occurrence(X2)
| ? [X3] :
( activity(X3)
& occurrence_of(X2,X3) ) ),
inference(specialize,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
! [X2] :
( ( ~ activity_occurrence(X2)
| activity(skolemFOFtoCNF_X3(X2)) )
& ( ~ activity_occurrence(X2)
| occurrence_of(X2,skolemFOFtoCNF_X3(X2)) ) ),
inference(clausify,[],[normalize_0_1]) ).
fof(normalize_0_3,plain,
! [X2] :
( ~ activity_occurrence(X2)
| occurrence_of(X2,skolemFOFtoCNF_X3(X2)) ),
inference(conjunct,[],[normalize_0_2]) ).
fof(normalize_0_4,plain,
! [X67,X68] :
( ~ subactivity_occurrence(X67,X68)
| ( activity_occurrence(X67)
& activity_occurrence(X68) ) ),
inference(canonicalize,[],[sos_24]) ).
fof(normalize_0_5,plain,
! [X67,X68] :
( ~ subactivity_occurrence(X67,X68)
| ( activity_occurrence(X67)
& activity_occurrence(X68) ) ),
inference(specialize,[],[normalize_0_4]) ).
fof(normalize_0_6,plain,
! [X67,X68] :
( ( ~ subactivity_occurrence(X67,X68)
| activity_occurrence(X67) )
& ( ~ subactivity_occurrence(X67,X68)
| activity_occurrence(X68) ) ),
inference(clausify,[],[normalize_0_5]) ).
fof(normalize_0_7,plain,
! [X67,X68] :
( ~ subactivity_occurrence(X67,X68)
| activity_occurrence(X67) ),
inference(conjunct,[],[normalize_0_6]) ).
fof(normalize_0_8,plain,
? [X165] :
( occurrence_of(X165,tptp0)
& ! [X166,X167] :
( ~ leaf_occ(X167,X165)
| ( occurrence_of(X167,tptp1)
& ? [X168] :
( min_precedes(X166,X168,tptp0)
& occurrence_of(X168,tptp2) ) )
| ( occurrence_of(X167,tptp2)
& ? [X169] :
( min_precedes(X166,X169,tptp0)
& occurrence_of(X169,tptp1) ) ) ) ),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_9,plain,
( occurrence_of(skolemFOFtoCNF_X165,tptp0)
& ! [X166,X167] :
( ~ leaf_occ(X167,skolemFOFtoCNF_X165)
| ( occurrence_of(X167,tptp1)
& ? [X168] :
( min_precedes(X166,X168,tptp0)
& occurrence_of(X168,tptp2) ) )
| ( occurrence_of(X167,tptp2)
& ? [X169] :
( min_precedes(X166,X169,tptp0)
& occurrence_of(X169,tptp1) ) ) ) ),
inference(skolemize,[],[normalize_0_8]) ).
fof(normalize_0_10,plain,
occurrence_of(skolemFOFtoCNF_X165,tptp0),
inference(conjunct,[],[normalize_0_9]) ).
fof(normalize_0_11,plain,
! [X161] :
( ~ occurrence_of(X161,tptp0)
| ? [X162,X163,X164] :
( leaf_occ(X164,X161)
& next_subocc(X162,X163,tptp0)
& next_subocc(X163,X164,tptp0)
& occurrence_of(X162,tptp3)
& occurrence_of(X163,tptp4)
& root_occ(X162,X161)
& ( occurrence_of(X164,tptp1)
| occurrence_of(X164,tptp2) ) ) ),
inference(canonicalize,[],[sos_49]) ).
fof(normalize_0_12,plain,
! [X161] :
( ~ occurrence_of(X161,tptp0)
| ? [X162,X163,X164] :
( leaf_occ(X164,X161)
& next_subocc(X162,X163,tptp0)
& next_subocc(X163,X164,tptp0)
& occurrence_of(X162,tptp3)
& occurrence_of(X163,tptp4)
& root_occ(X162,X161)
& ( occurrence_of(X164,tptp1)
| occurrence_of(X164,tptp2) ) ) ),
inference(specialize,[],[normalize_0_11]) ).
fof(normalize_0_13,plain,
! [X161] :
( ( ~ occurrence_of(X161,tptp0)
| leaf_occ(skolemFOFtoCNF_X164(X161),X161) )
& ( ~ occurrence_of(X161,tptp0)
| next_subocc(skolemFOFtoCNF_X162(X161),skolemFOFtoCNF_X163(X161),tptp0) )
& ( ~ occurrence_of(X161,tptp0)
| next_subocc(skolemFOFtoCNF_X163(X161),skolemFOFtoCNF_X164(X161),tptp0) )
& ( ~ occurrence_of(X161,tptp0)
| occurrence_of(skolemFOFtoCNF_X162(X161),tptp3) )
& ( ~ occurrence_of(X161,tptp0)
| occurrence_of(skolemFOFtoCNF_X163(X161),tptp4) )
& ( ~ occurrence_of(X161,tptp0)
| root_occ(skolemFOFtoCNF_X162(X161),X161) )
& ( ~ occurrence_of(X161,tptp0)
| occurrence_of(skolemFOFtoCNF_X164(X161),tptp1)
| occurrence_of(skolemFOFtoCNF_X164(X161),tptp2) ) ),
inference(clausify,[],[normalize_0_12]) ).
fof(normalize_0_14,plain,
! [X161] :
( ~ occurrence_of(X161,tptp0)
| leaf_occ(skolemFOFtoCNF_X164(X161),X161) ),
inference(conjunct,[],[normalize_0_13]) ).
fof(normalize_0_15,plain,
! [X102,X103] :
( ~ leaf_occ(X102,X103)
<=> ! [X104] :
( ~ leaf(X102,X104)
| ~ occurrence_of(X103,X104)
| ~ subactivity_occurrence(X102,X103) ) ),
inference(canonicalize,[],[sos_34]) ).
fof(normalize_0_16,plain,
! [X102,X103] :
( ~ leaf_occ(X102,X103)
<=> ! [X104] :
( ~ leaf(X102,X104)
| ~ occurrence_of(X103,X104)
| ~ subactivity_occurrence(X102,X103) ) ),
inference(specialize,[],[normalize_0_15]) ).
fof(normalize_0_17,plain,
! [X102,X103,X104] :
( ( ~ leaf_occ(X102,X103)
| leaf(X102,skolemFOFtoCNF_X104(X102,X103)) )
& ( ~ leaf_occ(X102,X103)
| occurrence_of(X103,skolemFOFtoCNF_X104(X102,X103)) )
& ( ~ leaf_occ(X102,X103)
| subactivity_occurrence(X102,X103) )
& ( ~ leaf(X102,X104)
| ~ occurrence_of(X103,X104)
| ~ subactivity_occurrence(X102,X103)
| leaf_occ(X102,X103) ) ),
inference(clausify,[],[normalize_0_16]) ).
fof(normalize_0_18,plain,
! [X102,X103] :
( ~ leaf_occ(X102,X103)
| subactivity_occurrence(X102,X103) ),
inference(conjunct,[],[normalize_0_17]) ).
fof(normalize_0_19,plain,
! [X4,X5,X6] :
( ~ occurrence_of(X4,X5)
| ~ occurrence_of(X4,X6)
| X5 = X6 ),
inference(canonicalize,[],[sos_02]) ).
fof(normalize_0_20,plain,
! [X4,X5,X6] :
( ~ occurrence_of(X4,X5)
| ~ occurrence_of(X4,X6)
| X5 = X6 ),
inference(specialize,[],[normalize_0_19]) ).
fof(normalize_0_21,plain,
! [X16,X17] :
( ~ occurrence_of(X16,X17)
| ( ~ arboreal(X16)
<=> ~ atomic(X17) ) ),
inference(canonicalize,[],[sos_07]) ).
fof(normalize_0_22,plain,
! [X16,X17] :
( ~ occurrence_of(X16,X17)
| ( ~ arboreal(X16)
<=> ~ atomic(X17) ) ),
inference(specialize,[],[normalize_0_21]) ).
fof(normalize_0_23,plain,
! [X16,X17] :
( ( ~ arboreal(X16)
| ~ occurrence_of(X16,X17)
| atomic(X17) )
& ( ~ atomic(X17)
| ~ occurrence_of(X16,X17)
| arboreal(X16) ) ),
inference(clausify,[],[normalize_0_22]) ).
fof(normalize_0_24,plain,
! [X16,X17] :
( ~ arboreal(X16)
| ~ occurrence_of(X16,X17)
| atomic(X17) ),
inference(conjunct,[],[normalize_0_23]) ).
fof(normalize_0_25,plain,
! [X145,X146] :
( ~ leaf(X145,X146)
| atomic(X146)
| ? [X147] :
( leaf_occ(X145,X147)
& occurrence_of(X147,X146) ) ),
inference(canonicalize,[],[sos_45]) ).
fof(normalize_0_26,plain,
! [X145,X146] :
( ~ leaf(X145,X146)
| atomic(X146)
| ? [X147] :
( leaf_occ(X145,X147)
& occurrence_of(X147,X146) ) ),
inference(specialize,[],[normalize_0_25]) ).
fof(normalize_0_27,plain,
! [X145,X146] :
( ( ~ leaf(X145,X146)
| atomic(X146)
| leaf_occ(X145,skolemFOFtoCNF_X147(X145,X146)) )
& ( ~ leaf(X145,X146)
| atomic(X146)
| occurrence_of(skolemFOFtoCNF_X147(X145,X146),X146) ) ),
inference(clausify,[],[normalize_0_26]) ).
fof(normalize_0_28,plain,
! [X145,X146] :
( ~ leaf(X145,X146)
| atomic(X146)
| occurrence_of(skolemFOFtoCNF_X147(X145,X146),X146) ),
inference(conjunct,[],[normalize_0_27]) ).
fof(normalize_0_29,plain,
! [X102,X103] :
( ~ leaf_occ(X102,X103)
| leaf(X102,skolemFOFtoCNF_X104(X102,X103)) ),
inference(conjunct,[],[normalize_0_17]) ).
fof(normalize_0_30,plain,
! [X102,X103] :
( ~ leaf_occ(X102,X103)
| occurrence_of(X103,skolemFOFtoCNF_X104(X102,X103)) ),
inference(conjunct,[],[normalize_0_17]) ).
fof(normalize_0_31,plain,
~ atomic(tptp0),
inference(canonicalize,[],[sos_51]) ).
fof(normalize_0_32,plain,
! [X16,X17] :
( ~ atomic(X17)
| ~ occurrence_of(X16,X17)
| arboreal(X16) ),
inference(conjunct,[],[normalize_0_23]) ).
fof(normalize_0_33,plain,
! [X148] :
( arboreal(X148)
| ! [X149,X150] : ~ min_precedes(X148,X149,X150) ),
inference(canonicalize,[],[sos_46]) ).
fof(normalize_0_34,plain,
! [X148] :
( arboreal(X148)
| ! [X149,X150] : ~ min_precedes(X148,X149,X150) ),
inference(specialize,[],[normalize_0_33]) ).
fof(normalize_0_35,plain,
! [X148,X149,X150] :
( ~ min_precedes(X148,X149,X150)
| arboreal(X148) ),
inference(clausify,[],[normalize_0_34]) ).
fof(normalize_0_36,plain,
! [X166,X167] :
( ~ leaf_occ(X167,skolemFOFtoCNF_X165)
| ( occurrence_of(X167,tptp1)
& ? [X168] :
( min_precedes(X166,X168,tptp0)
& occurrence_of(X168,tptp2) ) )
| ( occurrence_of(X167,tptp2)
& ? [X169] :
( min_precedes(X166,X169,tptp0)
& occurrence_of(X169,tptp1) ) ) ),
inference(conjunct,[],[normalize_0_9]) ).
fof(normalize_0_37,plain,
! [X166,X167] :
( ~ leaf_occ(X167,skolemFOFtoCNF_X165)
| ( occurrence_of(X167,tptp1)
& ? [X168] :
( min_precedes(X166,X168,tptp0)
& occurrence_of(X168,tptp2) ) )
| ( occurrence_of(X167,tptp2)
& ? [X169] :
( min_precedes(X166,X169,tptp0)
& occurrence_of(X169,tptp1) ) ) ),
inference(specialize,[],[normalize_0_36]) ).
fof(normalize_0_38,plain,
! [X166,X167] :
( ( ~ leaf_occ(X167,skolemFOFtoCNF_X165)
| min_precedes(X166,skolemFOFtoCNF_X168(X166),tptp0)
| min_precedes(X166,skolemFOFtoCNF_X169(X166),tptp0) )
& ( ~ leaf_occ(X167,skolemFOFtoCNF_X165)
| min_precedes(X166,skolemFOFtoCNF_X168(X166),tptp0)
| occurrence_of(X167,tptp2) )
& ( ~ leaf_occ(X167,skolemFOFtoCNF_X165)
| min_precedes(X166,skolemFOFtoCNF_X168(X166),tptp0)
| occurrence_of(skolemFOFtoCNF_X169(X166),tptp1) )
& ( ~ leaf_occ(X167,skolemFOFtoCNF_X165)
| min_precedes(X166,skolemFOFtoCNF_X169(X166),tptp0)
| occurrence_of(X167,tptp1) )
& ( ~ leaf_occ(X167,skolemFOFtoCNF_X165)
| min_precedes(X166,skolemFOFtoCNF_X169(X166),tptp0)
| occurrence_of(skolemFOFtoCNF_X168(X166),tptp2) )
& ( ~ leaf_occ(X167,skolemFOFtoCNF_X165)
| occurrence_of(X167,tptp1)
| occurrence_of(X167,tptp2) )
& ( ~ leaf_occ(X167,skolemFOFtoCNF_X165)
| occurrence_of(X167,tptp1)
| occurrence_of(skolemFOFtoCNF_X169(X166),tptp1) )
& ( ~ leaf_occ(X167,skolemFOFtoCNF_X165)
| occurrence_of(X167,tptp2)
| occurrence_of(skolemFOFtoCNF_X168(X166),tptp2) )
& ( ~ leaf_occ(X167,skolemFOFtoCNF_X165)
| occurrence_of(skolemFOFtoCNF_X168(X166),tptp2)
| occurrence_of(skolemFOFtoCNF_X169(X166),tptp1) ) ),
inference(clausify,[],[normalize_0_37]) ).
fof(normalize_0_39,plain,
! [X166,X167] :
( ~ leaf_occ(X167,skolemFOFtoCNF_X165)
| min_precedes(X166,skolemFOFtoCNF_X168(X166),tptp0)
| occurrence_of(X167,tptp2) ),
inference(conjunct,[],[normalize_0_38]) ).
fof(normalize_0_40,plain,
! [X166,X167] :
( ~ leaf_occ(X167,skolemFOFtoCNF_X165)
| min_precedes(X166,skolemFOFtoCNF_X169(X166),tptp0)
| occurrence_of(X167,tptp1) ),
inference(conjunct,[],[normalize_0_38]) ).
fof(normalize_0_41,plain,
tptp1 != tptp2,
inference(canonicalize,[],[sos_61]) ).
cnf(refute_0_0,plain,
( ~ activity_occurrence(X2)
| occurrence_of(X2,skolemFOFtoCNF_X3(X2)) ),
inference(canonicalize,[],[normalize_0_3]) ).
cnf(refute_0_1,plain,
( ~ activity_occurrence(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165))
| occurrence_of(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165),skolemFOFtoCNF_X3(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165))) ),
inference(subst,[],[refute_0_0:[bind(X2,$fot(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165)))]]) ).
cnf(refute_0_2,plain,
( ~ subactivity_occurrence(X67,X68)
| activity_occurrence(X67) ),
inference(canonicalize,[],[normalize_0_7]) ).
cnf(refute_0_3,plain,
( ~ subactivity_occurrence(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165),skolemFOFtoCNF_X165)
| activity_occurrence(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165)) ),
inference(subst,[],[refute_0_2:[bind(X67,$fot(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165))),bind(X68,$fot(skolemFOFtoCNF_X165))]]) ).
cnf(refute_0_4,plain,
occurrence_of(skolemFOFtoCNF_X165,tptp0),
inference(canonicalize,[],[normalize_0_10]) ).
cnf(refute_0_5,plain,
( ~ occurrence_of(X161,tptp0)
| leaf_occ(skolemFOFtoCNF_X164(X161),X161) ),
inference(canonicalize,[],[normalize_0_14]) ).
cnf(refute_0_6,plain,
( ~ occurrence_of(skolemFOFtoCNF_X165,tptp0)
| leaf_occ(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165),skolemFOFtoCNF_X165) ),
inference(subst,[],[refute_0_5:[bind(X161,$fot(skolemFOFtoCNF_X165))]]) ).
cnf(refute_0_7,plain,
leaf_occ(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165),skolemFOFtoCNF_X165),
inference(resolve,[$cnf( occurrence_of(skolemFOFtoCNF_X165,tptp0) )],[refute_0_4,refute_0_6]) ).
cnf(refute_0_8,plain,
( ~ leaf_occ(X102,X103)
| subactivity_occurrence(X102,X103) ),
inference(canonicalize,[],[normalize_0_18]) ).
cnf(refute_0_9,plain,
( ~ leaf_occ(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165),skolemFOFtoCNF_X165)
| subactivity_occurrence(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165),skolemFOFtoCNF_X165) ),
inference(subst,[],[refute_0_8:[bind(X102,$fot(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165))),bind(X103,$fot(skolemFOFtoCNF_X165))]]) ).
cnf(refute_0_10,plain,
subactivity_occurrence(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165),skolemFOFtoCNF_X165),
inference(resolve,[$cnf( leaf_occ(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165),skolemFOFtoCNF_X165) )],[refute_0_7,refute_0_9]) ).
cnf(refute_0_11,plain,
activity_occurrence(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165)),
inference(resolve,[$cnf( subactivity_occurrence(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165),skolemFOFtoCNF_X165) )],[refute_0_10,refute_0_3]) ).
cnf(refute_0_12,plain,
occurrence_of(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165),skolemFOFtoCNF_X3(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165))),
inference(resolve,[$cnf( activity_occurrence(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165)) )],[refute_0_11,refute_0_1]) ).
cnf(refute_0_13,plain,
( ~ occurrence_of(X4,X5)
| ~ occurrence_of(X4,X6)
| X5 = X6 ),
inference(canonicalize,[],[normalize_0_20]) ).
cnf(refute_0_14,plain,
( ~ occurrence_of(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165),X_141)
| ~ occurrence_of(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165),skolemFOFtoCNF_X3(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165)))
| skolemFOFtoCNF_X3(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165)) = X_141 ),
inference(subst,[],[refute_0_13:[bind(X4,$fot(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165))),bind(X5,$fot(skolemFOFtoCNF_X3(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165)))),bind(X6,$fot(X_141))]]) ).
cnf(refute_0_15,plain,
( ~ occurrence_of(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165),X_141)
| skolemFOFtoCNF_X3(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165)) = X_141 ),
inference(resolve,[$cnf( occurrence_of(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165),skolemFOFtoCNF_X3(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165))) )],[refute_0_12,refute_0_14]) ).
cnf(refute_0_16,plain,
( ~ occurrence_of(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165),tptp2)
| skolemFOFtoCNF_X3(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165)) = tptp2 ),
inference(subst,[],[refute_0_15:[bind(X_141,$fot(tptp2))]]) ).
cnf(refute_0_17,plain,
( ~ arboreal(X16)
| ~ occurrence_of(X16,X17)
| atomic(X17) ),
inference(canonicalize,[],[normalize_0_24]) ).
cnf(refute_0_18,plain,
( ~ arboreal(skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165),tptp0)),tptp0)),skolemFOFtoCNF_X104(skolemFOFtoCNF_X164(skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165),tptp0)),tptp0)),skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165),tptp0)),tptp0))))
| ~ occurrence_of(skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165),tptp0)),tptp0)),skolemFOFtoCNF_X104(skolemFOFtoCNF_X164(skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165),tptp0)),tptp0)),skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165),tptp0)),tptp0))),skolemFOFtoCNF_X104(skolemFOFtoCNF_X164(skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165),tptp0)),tptp0)),skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165),tptp0)),tptp0)))
| atomic(skolemFOFtoCNF_X104(skolemFOFtoCNF_X164(skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165),tptp0)),tptp0)),skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165),tptp0)),tptp0))) ),
inference(subst,[],[refute_0_17:[bind(X16,$fot(skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165),tptp0)),tptp0)),skolemFOFtoCNF_X104(skolemFOFtoCNF_X164(skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165),tptp0)),tptp0)),skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165),tptp0)),tptp0))))),bind(X17,$fot(skolemFOFtoCNF_X104(skolemFOFtoCNF_X164(skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165),tptp0)),tptp0)),skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165),tptp0)),tptp0))))]]) ).
cnf(refute_0_19,plain,
( ~ leaf(X145,X146)
| atomic(X146)
| occurrence_of(skolemFOFtoCNF_X147(X145,X146),X146) ),
inference(canonicalize,[],[normalize_0_28]) ).
cnf(refute_0_20,plain,
( ~ leaf(skolemFOFtoCNF_X164(skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165),tptp0)),tptp0)),skolemFOFtoCNF_X104(skolemFOFtoCNF_X164(skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165),tptp0)),tptp0)),skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165),tptp0)),tptp0)))
| atomic(skolemFOFtoCNF_X104(skolemFOFtoCNF_X164(skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165),tptp0)),tptp0)),skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165),tptp0)),tptp0)))
| occurrence_of(skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165),tptp0)),tptp0)),skolemFOFtoCNF_X104(skolemFOFtoCNF_X164(skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165),tptp0)),tptp0)),skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165),tptp0)),tptp0))),skolemFOFtoCNF_X104(skolemFOFtoCNF_X164(skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165),tptp0)),tptp0)),skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165),tptp0)),tptp0))) ),
inference(subst,[],[refute_0_19:[bind(X145,$fot(skolemFOFtoCNF_X164(skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165),tptp0)),tptp0)))),bind(X146,$fot(skolemFOFtoCNF_X104(skolemFOFtoCNF_X164(skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165),tptp0)),tptp0)),skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165),tptp0)),tptp0))))]]) ).
cnf(refute_0_21,plain,
( ~ leaf_occ(X102,X103)
| leaf(X102,skolemFOFtoCNF_X104(X102,X103)) ),
inference(canonicalize,[],[normalize_0_29]) ).
cnf(refute_0_22,plain,
( ~ leaf_occ(skolemFOFtoCNF_X164(skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165),tptp0)),tptp0)),skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165),tptp0)),tptp0))
| leaf(skolemFOFtoCNF_X164(skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165),tptp0)),tptp0)),skolemFOFtoCNF_X104(skolemFOFtoCNF_X164(skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165),tptp0)),tptp0)),skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165),tptp0)),tptp0))) ),
inference(subst,[],[refute_0_21:[bind(X102,$fot(skolemFOFtoCNF_X164(skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165),tptp0)),tptp0)))),bind(X103,$fot(skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165),tptp0)),tptp0)))]]) ).
cnf(refute_0_23,plain,
( ~ occurrence_of(skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165),tptp0)),tptp0),tptp0)
| leaf_occ(skolemFOFtoCNF_X164(skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165),tptp0)),tptp0)),skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165),tptp0)),tptp0)) ),
inference(subst,[],[refute_0_5:[bind(X161,$fot(skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165),tptp0)),tptp0)))]]) ).
cnf(refute_0_24,plain,
( ~ leaf(skolemFOFtoCNF_X164(skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165),tptp0)),tptp0)
| atomic(tptp0)
| occurrence_of(skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165),tptp0)),tptp0),tptp0) ),
inference(subst,[],[refute_0_19:[bind(X145,$fot(skolemFOFtoCNF_X164(skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165),tptp0)))),bind(X146,$fot(tptp0))]]) ).
cnf(refute_0_25,plain,
( ~ leaf_occ(skolemFOFtoCNF_X164(skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165),tptp0)),skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165),tptp0))
| leaf(skolemFOFtoCNF_X164(skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165),tptp0)),skolemFOFtoCNF_X104(skolemFOFtoCNF_X164(skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165),tptp0)),skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165),tptp0))) ),
inference(subst,[],[refute_0_21:[bind(X102,$fot(skolemFOFtoCNF_X164(skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165),tptp0)))),bind(X103,$fot(skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165),tptp0)))]]) ).
cnf(refute_0_26,plain,
( ~ occurrence_of(skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165),tptp0),tptp0)
| leaf_occ(skolemFOFtoCNF_X164(skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165),tptp0)),skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165),tptp0)) ),
inference(subst,[],[refute_0_5:[bind(X161,$fot(skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165),tptp0)))]]) ).
cnf(refute_0_27,plain,
( ~ leaf_occ(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165),skolemFOFtoCNF_X165)
| leaf(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165),skolemFOFtoCNF_X104(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165),skolemFOFtoCNF_X165)) ),
inference(subst,[],[refute_0_21:[bind(X102,$fot(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165))),bind(X103,$fot(skolemFOFtoCNF_X165))]]) ).
cnf(refute_0_28,plain,
leaf(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165),skolemFOFtoCNF_X104(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165),skolemFOFtoCNF_X165)),
inference(resolve,[$cnf( leaf_occ(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165),skolemFOFtoCNF_X165) )],[refute_0_7,refute_0_27]) ).
cnf(refute_0_29,plain,
( ~ leaf_occ(X102,X103)
| occurrence_of(X103,skolemFOFtoCNF_X104(X102,X103)) ),
inference(canonicalize,[],[normalize_0_30]) ).
cnf(refute_0_30,plain,
( ~ leaf_occ(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165),skolemFOFtoCNF_X165)
| occurrence_of(skolemFOFtoCNF_X165,skolemFOFtoCNF_X104(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165),skolemFOFtoCNF_X165)) ),
inference(subst,[],[refute_0_29:[bind(X102,$fot(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165))),bind(X103,$fot(skolemFOFtoCNF_X165))]]) ).
cnf(refute_0_31,plain,
occurrence_of(skolemFOFtoCNF_X165,skolemFOFtoCNF_X104(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165),skolemFOFtoCNF_X165)),
inference(resolve,[$cnf( leaf_occ(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165),skolemFOFtoCNF_X165) )],[refute_0_7,refute_0_30]) ).
cnf(refute_0_32,plain,
( ~ occurrence_of(skolemFOFtoCNF_X165,X_141)
| ~ occurrence_of(skolemFOFtoCNF_X165,tptp0)
| tptp0 = X_141 ),
inference(subst,[],[refute_0_13:[bind(X4,$fot(skolemFOFtoCNF_X165)),bind(X5,$fot(tptp0)),bind(X6,$fot(X_141))]]) ).
cnf(refute_0_33,plain,
( ~ occurrence_of(skolemFOFtoCNF_X165,X_141)
| tptp0 = X_141 ),
inference(resolve,[$cnf( occurrence_of(skolemFOFtoCNF_X165,tptp0) )],[refute_0_4,refute_0_32]) ).
cnf(refute_0_34,plain,
( ~ occurrence_of(skolemFOFtoCNF_X165,skolemFOFtoCNF_X104(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165),skolemFOFtoCNF_X165))
| tptp0 = skolemFOFtoCNF_X104(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165),skolemFOFtoCNF_X165) ),
inference(subst,[],[refute_0_33:[bind(X_141,$fot(skolemFOFtoCNF_X104(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165),skolemFOFtoCNF_X165)))]]) ).
cnf(refute_0_35,plain,
tptp0 = skolemFOFtoCNF_X104(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165),skolemFOFtoCNF_X165),
inference(resolve,[$cnf( occurrence_of(skolemFOFtoCNF_X165,skolemFOFtoCNF_X104(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165),skolemFOFtoCNF_X165)) )],[refute_0_31,refute_0_34]) ).
cnf(refute_0_36,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_0_37,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_0_38,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_0_36,refute_0_37]) ).
cnf(refute_0_39,plain,
( tptp0 != skolemFOFtoCNF_X104(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165),skolemFOFtoCNF_X165)
| skolemFOFtoCNF_X104(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165),skolemFOFtoCNF_X165) = tptp0 ),
inference(subst,[],[refute_0_38:[bind(X,$fot(tptp0)),bind(Y,$fot(skolemFOFtoCNF_X104(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165),skolemFOFtoCNF_X165)))]]) ).
cnf(refute_0_40,plain,
skolemFOFtoCNF_X104(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165),skolemFOFtoCNF_X165) = tptp0,
inference(resolve,[$cnf( $equal(tptp0,skolemFOFtoCNF_X104(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165),skolemFOFtoCNF_X165)) )],[refute_0_35,refute_0_39]) ).
cnf(refute_0_41,plain,
( skolemFOFtoCNF_X104(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165),skolemFOFtoCNF_X165) != tptp0
| ~ leaf(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165),skolemFOFtoCNF_X104(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165),skolemFOFtoCNF_X165))
| leaf(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165),tptp0) ),
introduced(tautology,[equality,[$cnf( leaf(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165),skolemFOFtoCNF_X104(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165),skolemFOFtoCNF_X165)) ),[1],$fot(tptp0)]]) ).
cnf(refute_0_42,plain,
( ~ leaf(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165),skolemFOFtoCNF_X104(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165),skolemFOFtoCNF_X165))
| leaf(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165),tptp0) ),
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_X104(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165),skolemFOFtoCNF_X165),tptp0) )],[refute_0_40,refute_0_41]) ).
cnf(refute_0_43,plain,
leaf(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165),tptp0),
inference(resolve,[$cnf( leaf(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165),skolemFOFtoCNF_X104(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165),skolemFOFtoCNF_X165)) )],[refute_0_28,refute_0_42]) ).
cnf(refute_0_44,plain,
( ~ leaf(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165),tptp0)
| atomic(tptp0)
| occurrence_of(skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165),tptp0),tptp0) ),
inference(subst,[],[refute_0_19:[bind(X145,$fot(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165))),bind(X146,$fot(tptp0))]]) ).
cnf(refute_0_45,plain,
( atomic(tptp0)
| occurrence_of(skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165),tptp0),tptp0) ),
inference(resolve,[$cnf( leaf(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165),tptp0) )],[refute_0_43,refute_0_44]) ).
cnf(refute_0_46,plain,
~ atomic(tptp0),
inference(canonicalize,[],[normalize_0_31]) ).
cnf(refute_0_47,plain,
occurrence_of(skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165),tptp0),tptp0),
inference(resolve,[$cnf( atomic(tptp0) )],[refute_0_45,refute_0_46]) ).
cnf(refute_0_48,plain,
leaf_occ(skolemFOFtoCNF_X164(skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165),tptp0)),skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165),tptp0)),
inference(resolve,[$cnf( occurrence_of(skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165),tptp0),tptp0) )],[refute_0_47,refute_0_26]) ).
cnf(refute_0_49,plain,
leaf(skolemFOFtoCNF_X164(skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165),tptp0)),skolemFOFtoCNF_X104(skolemFOFtoCNF_X164(skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165),tptp0)),skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165),tptp0))),
inference(resolve,[$cnf( leaf_occ(skolemFOFtoCNF_X164(skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165),tptp0)),skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165),tptp0)) )],[refute_0_48,refute_0_25]) ).
cnf(refute_0_50,plain,
( ~ leaf_occ(skolemFOFtoCNF_X164(skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165),tptp0)),skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165),tptp0))
| occurrence_of(skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165),tptp0),skolemFOFtoCNF_X104(skolemFOFtoCNF_X164(skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165),tptp0)),skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165),tptp0))) ),
inference(subst,[],[refute_0_29:[bind(X102,$fot(skolemFOFtoCNF_X164(skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165),tptp0)))),bind(X103,$fot(skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165),tptp0)))]]) ).
cnf(refute_0_51,plain,
occurrence_of(skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165),tptp0),skolemFOFtoCNF_X104(skolemFOFtoCNF_X164(skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165),tptp0)),skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165),tptp0))),
inference(resolve,[$cnf( leaf_occ(skolemFOFtoCNF_X164(skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165),tptp0)),skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165),tptp0)) )],[refute_0_48,refute_0_50]) ).
cnf(refute_0_52,plain,
( ~ occurrence_of(skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165),tptp0),X5)
| ~ occurrence_of(skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165),tptp0),tptp0)
| X5 = tptp0 ),
inference(subst,[],[refute_0_13:[bind(X4,$fot(skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165),tptp0))),bind(X6,$fot(tptp0))]]) ).
cnf(refute_0_53,plain,
( ~ occurrence_of(skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165),tptp0),X5)
| X5 = tptp0 ),
inference(resolve,[$cnf( occurrence_of(skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165),tptp0),tptp0) )],[refute_0_47,refute_0_52]) ).
cnf(refute_0_54,plain,
( ~ occurrence_of(skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165),tptp0),skolemFOFtoCNF_X104(skolemFOFtoCNF_X164(skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165),tptp0)),skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165),tptp0)))
| skolemFOFtoCNF_X104(skolemFOFtoCNF_X164(skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165),tptp0)),skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165),tptp0)) = tptp0 ),
inference(subst,[],[refute_0_53:[bind(X5,$fot(skolemFOFtoCNF_X104(skolemFOFtoCNF_X164(skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165),tptp0)),skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165),tptp0))))]]) ).
cnf(refute_0_55,plain,
skolemFOFtoCNF_X104(skolemFOFtoCNF_X164(skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165),tptp0)),skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165),tptp0)) = tptp0,
inference(resolve,[$cnf( occurrence_of(skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165),tptp0),skolemFOFtoCNF_X104(skolemFOFtoCNF_X164(skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165),tptp0)),skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165),tptp0))) )],[refute_0_51,refute_0_54]) ).
cnf(refute_0_56,plain,
( skolemFOFtoCNF_X104(skolemFOFtoCNF_X164(skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165),tptp0)),skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165),tptp0)) != tptp0
| ~ leaf(skolemFOFtoCNF_X164(skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165),tptp0)),skolemFOFtoCNF_X104(skolemFOFtoCNF_X164(skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165),tptp0)),skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165),tptp0)))
| leaf(skolemFOFtoCNF_X164(skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165),tptp0)),tptp0) ),
introduced(tautology,[equality,[$cnf( leaf(skolemFOFtoCNF_X164(skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165),tptp0)),skolemFOFtoCNF_X104(skolemFOFtoCNF_X164(skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165),tptp0)),skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165),tptp0))) ),[1],$fot(tptp0)]]) ).
cnf(refute_0_57,plain,
( ~ leaf(skolemFOFtoCNF_X164(skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165),tptp0)),skolemFOFtoCNF_X104(skolemFOFtoCNF_X164(skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165),tptp0)),skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165),tptp0)))
| leaf(skolemFOFtoCNF_X164(skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165),tptp0)),tptp0) ),
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_X104(skolemFOFtoCNF_X164(skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165),tptp0)),skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165),tptp0)),tptp0) )],[refute_0_55,refute_0_56]) ).
cnf(refute_0_58,plain,
leaf(skolemFOFtoCNF_X164(skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165),tptp0)),tptp0),
inference(resolve,[$cnf( leaf(skolemFOFtoCNF_X164(skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165),tptp0)),skolemFOFtoCNF_X104(skolemFOFtoCNF_X164(skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165),tptp0)),skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165),tptp0))) )],[refute_0_49,refute_0_57]) ).
cnf(refute_0_59,plain,
( atomic(tptp0)
| occurrence_of(skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165),tptp0)),tptp0),tptp0) ),
inference(resolve,[$cnf( leaf(skolemFOFtoCNF_X164(skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165),tptp0)),tptp0) )],[refute_0_58,refute_0_24]) ).
cnf(refute_0_60,plain,
occurrence_of(skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165),tptp0)),tptp0),tptp0),
inference(resolve,[$cnf( atomic(tptp0) )],[refute_0_59,refute_0_46]) ).
cnf(refute_0_61,plain,
leaf_occ(skolemFOFtoCNF_X164(skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165),tptp0)),tptp0)),skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165),tptp0)),tptp0)),
inference(resolve,[$cnf( occurrence_of(skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165),tptp0)),tptp0),tptp0) )],[refute_0_60,refute_0_23]) ).
cnf(refute_0_62,plain,
leaf(skolemFOFtoCNF_X164(skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165),tptp0)),tptp0)),skolemFOFtoCNF_X104(skolemFOFtoCNF_X164(skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165),tptp0)),tptp0)),skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165),tptp0)),tptp0))),
inference(resolve,[$cnf( leaf_occ(skolemFOFtoCNF_X164(skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165),tptp0)),tptp0)),skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165),tptp0)),tptp0)) )],[refute_0_61,refute_0_22]) ).
cnf(refute_0_63,plain,
( atomic(skolemFOFtoCNF_X104(skolemFOFtoCNF_X164(skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165),tptp0)),tptp0)),skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165),tptp0)),tptp0)))
| occurrence_of(skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165),tptp0)),tptp0)),skolemFOFtoCNF_X104(skolemFOFtoCNF_X164(skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165),tptp0)),tptp0)),skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165),tptp0)),tptp0))),skolemFOFtoCNF_X104(skolemFOFtoCNF_X164(skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165),tptp0)),tptp0)),skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165),tptp0)),tptp0))) ),
inference(resolve,[$cnf( leaf(skolemFOFtoCNF_X164(skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165),tptp0)),tptp0)),skolemFOFtoCNF_X104(skolemFOFtoCNF_X164(skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165),tptp0)),tptp0)),skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165),tptp0)),tptp0))) )],[refute_0_62,refute_0_20]) ).
cnf(refute_0_64,plain,
( ~ atomic(X17)
| ~ occurrence_of(X16,X17)
| arboreal(X16) ),
inference(canonicalize,[],[normalize_0_32]) ).
cnf(refute_0_65,plain,
( ~ atomic(skolemFOFtoCNF_X104(skolemFOFtoCNF_X164(skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165),tptp0)),tptp0)),skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165),tptp0)),tptp0)))
| ~ occurrence_of(skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165),tptp0)),tptp0),skolemFOFtoCNF_X104(skolemFOFtoCNF_X164(skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165),tptp0)),tptp0)),skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165),tptp0)),tptp0)))
| arboreal(skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165),tptp0)),tptp0)) ),
inference(subst,[],[refute_0_64:[bind(X16,$fot(skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165),tptp0)),tptp0))),bind(X17,$fot(skolemFOFtoCNF_X104(skolemFOFtoCNF_X164(skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165),tptp0)),tptp0)),skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165),tptp0)),tptp0))))]]) ).
cnf(refute_0_66,plain,
( ~ leaf_occ(skolemFOFtoCNF_X164(skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165),tptp0)),tptp0)),skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165),tptp0)),tptp0))
| occurrence_of(skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165),tptp0)),tptp0),skolemFOFtoCNF_X104(skolemFOFtoCNF_X164(skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165),tptp0)),tptp0)),skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165),tptp0)),tptp0))) ),
inference(subst,[],[refute_0_29:[bind(X102,$fot(skolemFOFtoCNF_X164(skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165),tptp0)),tptp0)))),bind(X103,$fot(skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165),tptp0)),tptp0)))]]) ).
cnf(refute_0_67,plain,
occurrence_of(skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165),tptp0)),tptp0),skolemFOFtoCNF_X104(skolemFOFtoCNF_X164(skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165),tptp0)),tptp0)),skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165),tptp0)),tptp0))),
inference(resolve,[$cnf( leaf_occ(skolemFOFtoCNF_X164(skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165),tptp0)),tptp0)),skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165),tptp0)),tptp0)) )],[refute_0_61,refute_0_66]) ).
cnf(refute_0_68,plain,
( ~ atomic(skolemFOFtoCNF_X104(skolemFOFtoCNF_X164(skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165),tptp0)),tptp0)),skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165),tptp0)),tptp0)))
| arboreal(skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165),tptp0)),tptp0)) ),
inference(resolve,[$cnf( occurrence_of(skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165),tptp0)),tptp0),skolemFOFtoCNF_X104(skolemFOFtoCNF_X164(skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165),tptp0)),tptp0)),skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165),tptp0)),tptp0))) )],[refute_0_67,refute_0_65]) ).
cnf(refute_0_69,plain,
( ~ arboreal(skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165),tptp0)),tptp0))
| ~ occurrence_of(skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165),tptp0)),tptp0),tptp0)
| atomic(tptp0) ),
inference(subst,[],[refute_0_17:[bind(X16,$fot(skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165),tptp0)),tptp0))),bind(X17,$fot(tptp0))]]) ).
cnf(refute_0_70,plain,
( ~ arboreal(skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165),tptp0)),tptp0))
| atomic(tptp0) ),
inference(resolve,[$cnf( occurrence_of(skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165),tptp0)),tptp0),tptp0) )],[refute_0_60,refute_0_69]) ).
cnf(refute_0_71,plain,
~ arboreal(skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165),tptp0)),tptp0)),
inference(resolve,[$cnf( atomic(tptp0) )],[refute_0_70,refute_0_46]) ).
cnf(refute_0_72,plain,
~ atomic(skolemFOFtoCNF_X104(skolemFOFtoCNF_X164(skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165),tptp0)),tptp0)),skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165),tptp0)),tptp0))),
inference(resolve,[$cnf( arboreal(skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165),tptp0)),tptp0)) )],[refute_0_68,refute_0_71]) ).
cnf(refute_0_73,plain,
occurrence_of(skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165),tptp0)),tptp0)),skolemFOFtoCNF_X104(skolemFOFtoCNF_X164(skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165),tptp0)),tptp0)),skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165),tptp0)),tptp0))),skolemFOFtoCNF_X104(skolemFOFtoCNF_X164(skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165),tptp0)),tptp0)),skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165),tptp0)),tptp0))),
inference(resolve,[$cnf( atomic(skolemFOFtoCNF_X104(skolemFOFtoCNF_X164(skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165),tptp0)),tptp0)),skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165),tptp0)),tptp0))) )],[refute_0_63,refute_0_72]) ).
cnf(refute_0_74,plain,
( ~ arboreal(skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165),tptp0)),tptp0)),skolemFOFtoCNF_X104(skolemFOFtoCNF_X164(skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165),tptp0)),tptp0)),skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165),tptp0)),tptp0))))
| atomic(skolemFOFtoCNF_X104(skolemFOFtoCNF_X164(skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165),tptp0)),tptp0)),skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165),tptp0)),tptp0))) ),
inference(resolve,[$cnf( occurrence_of(skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165),tptp0)),tptp0)),skolemFOFtoCNF_X104(skolemFOFtoCNF_X164(skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165),tptp0)),tptp0)),skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165),tptp0)),tptp0))),skolemFOFtoCNF_X104(skolemFOFtoCNF_X164(skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165),tptp0)),tptp0)),skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165),tptp0)),tptp0))) )],[refute_0_73,refute_0_18]) ).
cnf(refute_0_75,plain,
~ arboreal(skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165),tptp0)),tptp0)),skolemFOFtoCNF_X104(skolemFOFtoCNF_X164(skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165),tptp0)),tptp0)),skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165),tptp0)),tptp0)))),
inference(resolve,[$cnf( atomic(skolemFOFtoCNF_X104(skolemFOFtoCNF_X164(skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165),tptp0)),tptp0)),skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165),tptp0)),tptp0))) )],[refute_0_74,refute_0_72]) ).
cnf(refute_0_76,plain,
( ~ min_precedes(X148,X149,X150)
| arboreal(X148) ),
inference(canonicalize,[],[normalize_0_35]) ).
cnf(refute_0_77,plain,
( ~ min_precedes(X_260,skolemFOFtoCNF_X168(X_260),tptp0)
| arboreal(X_260) ),
inference(subst,[],[refute_0_76:[bind(X148,$fot(X_260)),bind(X149,$fot(skolemFOFtoCNF_X168(X_260))),bind(X150,$fot(tptp0))]]) ).
cnf(refute_0_78,plain,
( ~ leaf_occ(X167,skolemFOFtoCNF_X165)
| min_precedes(X166,skolemFOFtoCNF_X168(X166),tptp0)
| occurrence_of(X167,tptp2) ),
inference(canonicalize,[],[normalize_0_39]) ).
cnf(refute_0_79,plain,
( ~ leaf_occ(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165),skolemFOFtoCNF_X165)
| min_precedes(X_258,skolemFOFtoCNF_X168(X_258),tptp0)
| occurrence_of(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165),tptp2) ),
inference(subst,[],[refute_0_78:[bind(X166,$fot(X_258)),bind(X167,$fot(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165)))]]) ).
cnf(refute_0_80,plain,
( min_precedes(X_258,skolemFOFtoCNF_X168(X_258),tptp0)
| occurrence_of(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165),tptp2) ),
inference(resolve,[$cnf( leaf_occ(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165),skolemFOFtoCNF_X165) )],[refute_0_7,refute_0_79]) ).
cnf(refute_0_81,plain,
( min_precedes(X_260,skolemFOFtoCNF_X168(X_260),tptp0)
| occurrence_of(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165),tptp2) ),
inference(subst,[],[refute_0_80:[bind(X_258,$fot(X_260))]]) ).
cnf(refute_0_82,plain,
( arboreal(X_260)
| occurrence_of(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165),tptp2) ),
inference(resolve,[$cnf( min_precedes(X_260,skolemFOFtoCNF_X168(X_260),tptp0) )],[refute_0_81,refute_0_77]) ).
cnf(refute_0_83,plain,
( arboreal(skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165),tptp0)),tptp0)),skolemFOFtoCNF_X104(skolemFOFtoCNF_X164(skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165),tptp0)),tptp0)),skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165),tptp0)),tptp0))))
| occurrence_of(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165),tptp2) ),
inference(subst,[],[refute_0_82:[bind(X_260,$fot(skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165),tptp0)),tptp0)),skolemFOFtoCNF_X104(skolemFOFtoCNF_X164(skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165),tptp0)),tptp0)),skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165),tptp0)),tptp0)))))]]) ).
cnf(refute_0_84,plain,
occurrence_of(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165),tptp2),
inference(resolve,[$cnf( arboreal(skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165),tptp0)),tptp0)),skolemFOFtoCNF_X104(skolemFOFtoCNF_X164(skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165),tptp0)),tptp0)),skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165),tptp0)),tptp0)))) )],[refute_0_83,refute_0_75]) ).
cnf(refute_0_85,plain,
skolemFOFtoCNF_X3(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165)) = tptp2,
inference(resolve,[$cnf( occurrence_of(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165),tptp2) )],[refute_0_84,refute_0_16]) ).
cnf(refute_0_86,plain,
( skolemFOFtoCNF_X3(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165)) != X_141
| skolemFOFtoCNF_X3(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165)) != tptp2
| tptp2 = X_141 ),
introduced(tautology,[equality,[$cnf( $equal(skolemFOFtoCNF_X3(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165)),X_141) ),[0],$fot(tptp2)]]) ).
cnf(refute_0_87,plain,
( skolemFOFtoCNF_X3(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165)) != X_141
| tptp2 = X_141 ),
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_X3(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165)),tptp2) )],[refute_0_85,refute_0_86]) ).
cnf(refute_0_88,plain,
( ~ occurrence_of(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165),X_141)
| tptp2 = X_141 ),
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_X3(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165)),X_141) )],[refute_0_15,refute_0_87]) ).
cnf(refute_0_89,plain,
( ~ occurrence_of(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165),tptp1)
| tptp2 = tptp1 ),
inference(subst,[],[refute_0_88:[bind(X_141,$fot(tptp1))]]) ).
cnf(refute_0_90,plain,
( ~ min_precedes(X_271,skolemFOFtoCNF_X169(X_271),tptp0)
| arboreal(X_271) ),
inference(subst,[],[refute_0_76:[bind(X148,$fot(X_271)),bind(X149,$fot(skolemFOFtoCNF_X169(X_271))),bind(X150,$fot(tptp0))]]) ).
cnf(refute_0_91,plain,
( ~ leaf_occ(X167,skolemFOFtoCNF_X165)
| min_precedes(X166,skolemFOFtoCNF_X169(X166),tptp0)
| occurrence_of(X167,tptp1) ),
inference(canonicalize,[],[normalize_0_40]) ).
cnf(refute_0_92,plain,
( ~ leaf_occ(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165),skolemFOFtoCNF_X165)
| min_precedes(X_269,skolemFOFtoCNF_X169(X_269),tptp0)
| occurrence_of(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165),tptp1) ),
inference(subst,[],[refute_0_91:[bind(X166,$fot(X_269)),bind(X167,$fot(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165)))]]) ).
cnf(refute_0_93,plain,
( min_precedes(X_269,skolemFOFtoCNF_X169(X_269),tptp0)
| occurrence_of(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165),tptp1) ),
inference(resolve,[$cnf( leaf_occ(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165),skolemFOFtoCNF_X165) )],[refute_0_7,refute_0_92]) ).
cnf(refute_0_94,plain,
( min_precedes(X_271,skolemFOFtoCNF_X169(X_271),tptp0)
| occurrence_of(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165),tptp1) ),
inference(subst,[],[refute_0_93:[bind(X_269,$fot(X_271))]]) ).
cnf(refute_0_95,plain,
( arboreal(X_271)
| occurrence_of(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165),tptp1) ),
inference(resolve,[$cnf( min_precedes(X_271,skolemFOFtoCNF_X169(X_271),tptp0) )],[refute_0_94,refute_0_90]) ).
cnf(refute_0_96,plain,
( arboreal(skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165),tptp0)),tptp0)),skolemFOFtoCNF_X104(skolemFOFtoCNF_X164(skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165),tptp0)),tptp0)),skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165),tptp0)),tptp0))))
| occurrence_of(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165),tptp1) ),
inference(subst,[],[refute_0_95:[bind(X_271,$fot(skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165),tptp0)),tptp0)),skolemFOFtoCNF_X104(skolemFOFtoCNF_X164(skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165),tptp0)),tptp0)),skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165),tptp0)),tptp0)))))]]) ).
cnf(refute_0_97,plain,
occurrence_of(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165),tptp1),
inference(resolve,[$cnf( arboreal(skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165),tptp0)),tptp0)),skolemFOFtoCNF_X104(skolemFOFtoCNF_X164(skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165),tptp0)),tptp0)),skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X147(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165),tptp0)),tptp0)))) )],[refute_0_96,refute_0_75]) ).
cnf(refute_0_98,plain,
tptp2 = tptp1,
inference(resolve,[$cnf( occurrence_of(skolemFOFtoCNF_X164(skolemFOFtoCNF_X165),tptp1) )],[refute_0_97,refute_0_89]) ).
cnf(refute_0_99,plain,
tptp1 != tptp2,
inference(canonicalize,[],[normalize_0_41]) ).
cnf(refute_0_100,plain,
( tptp2 != tptp1
| tptp1 = tptp2 ),
inference(subst,[],[refute_0_38:[bind(X,$fot(tptp2)),bind(Y,$fot(tptp1))]]) ).
cnf(refute_0_101,plain,
tptp2 != tptp1,
inference(resolve,[$cnf( $equal(tptp1,tptp2) )],[refute_0_100,refute_0_99]) ).
cnf(refute_0_102,plain,
$false,
inference(resolve,[$cnf( $equal(tptp2,tptp1) )],[refute_0_98,refute_0_101]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : PRO010+3 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.14 % Command : metis --show proof --show saturation %s
% 0.13/0.35 % Computer : n012.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 : 600
% 0.13/0.35 % DateTime : Mon Jun 13 02:56:10 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.13/0.36 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 15.07/15.24 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 15.07/15.24
% 15.07/15.24 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 15.07/15.26
%------------------------------------------------------------------------------