%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : PRO012+2 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n014.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 17:50:18 EDT 2022
% Result : Theorem 253.09s 253.26s
% Output : CNFRefutation 253.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 8
% Syntax : Number of formulae : 90 ( 14 unt; 0 def)
% Number of atoms : 280 ( 24 equ)
% Maximal formula atoms : 17 ( 3 avg)
% Number of connectives : 324 ( 134 ~; 131 |; 50 &)
% ( 0 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 8 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 6 con; 0-1 aty)
% Number of variables : 108 ( 1 sgn 66 !; 19 ?)
% Comments :
%------------------------------------------------------------------------------
fof(sos,axiom,
! [X0,X1,X2,X3] :
( ( min_precedes(X0,X1,X3)
& min_precedes(X1,X2,X3) )
=> min_precedes(X0,X2,X3) ) ).
fof(sos_18,axiom,
! [X52] :
( activity_occurrence(X52)
=> ? [X53] :
( activity(X53)
& occurrence_of(X52,X53) ) ) ).
fof(sos_22,axiom,
! [X64,X65,X66] :
( ( occurrence_of(X64,X65)
& occurrence_of(X64,X66) )
=> X65 = X66 ) ).
fof(sos_29,axiom,
! [X89,X90] :
( occurrence_of(X90,X89)
=> ( activity(X89)
& activity_occurrence(X90) ) ) ).
fof(sos_32,axiom,
! [X95] :
( occurrence_of(X95,tptp0)
=> ? [X96,X97,X98] :
( occurrence_of(X96,tptp3)
& root_occ(X96,X95)
& occurrence_of(X97,tptp4)
& min_precedes(X96,X97,tptp0)
& ( occurrence_of(X98,tptp2)
| occurrence_of(X98,tptp1) )
& min_precedes(X97,X98,tptp0)
& ! [X99] :
( min_precedes(X96,X99,tptp0)
=> ( X99 = X97
| X99 = X98 ) ) ) ) ).
fof(goals,conjecture,
! [X100] :
( occurrence_of(X100,tptp0)
=> ? [X101,X102] :
( occurrence_of(X101,tptp3)
& root_occ(X101,X100)
& ( occurrence_of(X102,tptp2)
| occurrence_of(X102,tptp1) )
& min_precedes(X101,X102,tptp0) ) ) ).
fof(subgoal_0,plain,
! [X100] :
( occurrence_of(X100,tptp0)
=> ? [X101,X102] :
( occurrence_of(X101,tptp3)
& root_occ(X101,X100)
& ( occurrence_of(X102,tptp2)
| occurrence_of(X102,tptp1) )
& min_precedes(X101,X102,tptp0) ) ),
inference(strip,[],[goals]) ).
fof(negate_0_0,plain,
~ ! [X100] :
( occurrence_of(X100,tptp0)
=> ? [X101,X102] :
( occurrence_of(X101,tptp3)
& root_occ(X101,X100)
& ( occurrence_of(X102,tptp2)
| occurrence_of(X102,tptp1) )
& min_precedes(X101,X102,tptp0) ) ),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
! [X52] :
( ~ activity_occurrence(X52)
| ? [X53] :
( activity(X53)
& occurrence_of(X52,X53) ) ),
inference(canonicalize,[],[sos_18]) ).
fof(normalize_0_1,plain,
! [X52] :
( ~ activity_occurrence(X52)
| ? [X53] :
( activity(X53)
& occurrence_of(X52,X53) ) ),
inference(specialize,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
! [X52] :
( ( ~ activity_occurrence(X52)
| activity(skolemFOFtoCNF_X53(X52)) )
& ( ~ activity_occurrence(X52)
| occurrence_of(X52,skolemFOFtoCNF_X53(X52)) ) ),
inference(clausify,[],[normalize_0_1]) ).
fof(normalize_0_3,plain,
! [X52] :
( ~ activity_occurrence(X52)
| occurrence_of(X52,skolemFOFtoCNF_X53(X52)) ),
inference(conjunct,[],[normalize_0_2]) ).
fof(normalize_0_4,plain,
! [X89,X90] :
( ~ occurrence_of(X90,X89)
| ( activity(X89)
& activity_occurrence(X90) ) ),
inference(canonicalize,[],[sos_29]) ).
fof(normalize_0_5,plain,
! [X89,X90] :
( ~ occurrence_of(X90,X89)
| ( activity(X89)
& activity_occurrence(X90) ) ),
inference(specialize,[],[normalize_0_4]) ).
fof(normalize_0_6,plain,
! [X89,X90] :
( ( ~ occurrence_of(X90,X89)
| activity(X89) )
& ( ~ occurrence_of(X90,X89)
| activity_occurrence(X90) ) ),
inference(clausify,[],[normalize_0_5]) ).
fof(normalize_0_7,plain,
! [X89,X90] :
( ~ occurrence_of(X90,X89)
| activity_occurrence(X90) ),
inference(conjunct,[],[normalize_0_6]) ).
fof(normalize_0_8,plain,
? [X100] :
( occurrence_of(X100,tptp0)
& ! [X101,X102] :
( ~ min_precedes(X101,X102,tptp0)
| ~ occurrence_of(X101,tptp3)
| ~ root_occ(X101,X100)
| ( ~ occurrence_of(X102,tptp1)
& ~ occurrence_of(X102,tptp2) ) ) ),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_9,plain,
( occurrence_of(skolemFOFtoCNF_X100,tptp0)
& ! [X101,X102] :
( ~ min_precedes(X101,X102,tptp0)
| ~ occurrence_of(X101,tptp3)
| ~ root_occ(X101,skolemFOFtoCNF_X100)
| ( ~ occurrence_of(X102,tptp1)
& ~ occurrence_of(X102,tptp2) ) ) ),
inference(skolemize,[],[normalize_0_8]) ).
fof(normalize_0_10,plain,
occurrence_of(skolemFOFtoCNF_X100,tptp0),
inference(conjunct,[],[normalize_0_9]) ).
fof(normalize_0_11,plain,
! [X95] :
( ~ occurrence_of(X95,tptp0)
| ? [X96,X97,X98] :
( min_precedes(X96,X97,tptp0)
& min_precedes(X97,X98,tptp0)
& occurrence_of(X96,tptp3)
& occurrence_of(X97,tptp4)
& root_occ(X96,X95)
& ( occurrence_of(X98,tptp1)
| occurrence_of(X98,tptp2) )
& ! [X99] :
( ~ min_precedes(X96,X99,tptp0)
| X99 = X97
| X99 = X98 ) ) ),
inference(canonicalize,[],[sos_32]) ).
fof(normalize_0_12,plain,
! [X95] :
( ~ occurrence_of(X95,tptp0)
| ? [X96,X97,X98] :
( min_precedes(X96,X97,tptp0)
& min_precedes(X97,X98,tptp0)
& occurrence_of(X96,tptp3)
& occurrence_of(X97,tptp4)
& root_occ(X96,X95)
& ( occurrence_of(X98,tptp1)
| occurrence_of(X98,tptp2) )
& ! [X99] :
( ~ min_precedes(X96,X99,tptp0)
| X99 = X97
| X99 = X98 ) ) ),
inference(specialize,[],[normalize_0_11]) ).
fof(normalize_0_13,plain,
! [X95,X99] :
( ( ~ occurrence_of(X95,tptp0)
| min_precedes(skolemFOFtoCNF_X96(X95),skolemFOFtoCNF_X97(X95),tptp0) )
& ( ~ occurrence_of(X95,tptp0)
| min_precedes(skolemFOFtoCNF_X97(X95),skolemFOFtoCNF_X98(X95),tptp0) )
& ( ~ occurrence_of(X95,tptp0)
| occurrence_of(skolemFOFtoCNF_X96(X95),tptp3) )
& ( ~ occurrence_of(X95,tptp0)
| occurrence_of(skolemFOFtoCNF_X97(X95),tptp4) )
& ( ~ occurrence_of(X95,tptp0)
| root_occ(skolemFOFtoCNF_X96(X95),X95) )
& ( ~ occurrence_of(X95,tptp0)
| occurrence_of(skolemFOFtoCNF_X98(X95),tptp1)
| occurrence_of(skolemFOFtoCNF_X98(X95),tptp2) )
& ( ~ min_precedes(skolemFOFtoCNF_X96(X95),X99,tptp0)
| ~ occurrence_of(X95,tptp0)
| X99 = skolemFOFtoCNF_X97(X95)
| X99 = skolemFOFtoCNF_X98(X95) ) ),
inference(clausify,[],[normalize_0_12]) ).
fof(normalize_0_14,plain,
! [X95] :
( ~ occurrence_of(X95,tptp0)
| occurrence_of(skolemFOFtoCNF_X98(X95),tptp1)
| occurrence_of(skolemFOFtoCNF_X98(X95),tptp2) ),
inference(conjunct,[],[normalize_0_13]) ).
fof(normalize_0_15,plain,
! [X64,X65,X66] :
( ~ occurrence_of(X64,X65)
| ~ occurrence_of(X64,X66)
| X65 = X66 ),
inference(canonicalize,[],[sos_22]) ).
fof(normalize_0_16,plain,
! [X64,X65,X66] :
( ~ occurrence_of(X64,X65)
| ~ occurrence_of(X64,X66)
| X65 = X66 ),
inference(specialize,[],[normalize_0_15]) ).
fof(normalize_0_17,plain,
! [X101,X102] :
( ~ min_precedes(X101,X102,tptp0)
| ~ occurrence_of(X101,tptp3)
| ~ root_occ(X101,skolemFOFtoCNF_X100)
| ( ~ occurrence_of(X102,tptp1)
& ~ occurrence_of(X102,tptp2) ) ),
inference(conjunct,[],[normalize_0_9]) ).
fof(normalize_0_18,plain,
! [X101,X102] :
( ~ min_precedes(X101,X102,tptp0)
| ~ occurrence_of(X101,tptp3)
| ~ root_occ(X101,skolemFOFtoCNF_X100)
| ( ~ occurrence_of(X102,tptp1)
& ~ occurrence_of(X102,tptp2) ) ),
inference(specialize,[],[normalize_0_17]) ).
fof(normalize_0_19,plain,
! [X101,X102] :
( ( ~ min_precedes(X101,X102,tptp0)
| ~ occurrence_of(X101,tptp3)
| ~ occurrence_of(X102,tptp1)
| ~ root_occ(X101,skolemFOFtoCNF_X100) )
& ( ~ min_precedes(X101,X102,tptp0)
| ~ occurrence_of(X101,tptp3)
| ~ occurrence_of(X102,tptp2)
| ~ root_occ(X101,skolemFOFtoCNF_X100) ) ),
inference(clausify,[],[normalize_0_18]) ).
fof(normalize_0_20,plain,
! [X101,X102] :
( ~ min_precedes(X101,X102,tptp0)
| ~ occurrence_of(X101,tptp3)
| ~ occurrence_of(X102,tptp2)
| ~ root_occ(X101,skolemFOFtoCNF_X100) ),
inference(conjunct,[],[normalize_0_19]) ).
fof(normalize_0_21,plain,
! [X95] :
( ~ occurrence_of(X95,tptp0)
| min_precedes(skolemFOFtoCNF_X96(X95),skolemFOFtoCNF_X97(X95),tptp0) ),
inference(conjunct,[],[normalize_0_13]) ).
fof(normalize_0_22,plain,
! [X95] :
( ~ occurrence_of(X95,tptp0)
| min_precedes(skolemFOFtoCNF_X97(X95),skolemFOFtoCNF_X98(X95),tptp0) ),
inference(conjunct,[],[normalize_0_13]) ).
fof(normalize_0_23,plain,
! [X0,X1,X2,X3] :
( ~ min_precedes(X0,X1,X3)
| ~ min_precedes(X1,X2,X3)
| min_precedes(X0,X2,X3) ),
inference(canonicalize,[],[sos]) ).
fof(normalize_0_24,plain,
! [X0,X1,X2,X3] :
( ~ min_precedes(X0,X1,X3)
| ~ min_precedes(X1,X2,X3)
| min_precedes(X0,X2,X3) ),
inference(specialize,[],[normalize_0_23]) ).
fof(normalize_0_25,plain,
! [X95] :
( ~ occurrence_of(X95,tptp0)
| occurrence_of(skolemFOFtoCNF_X96(X95),tptp3) ),
inference(conjunct,[],[normalize_0_13]) ).
fof(normalize_0_26,plain,
! [X95] :
( ~ occurrence_of(X95,tptp0)
| root_occ(skolemFOFtoCNF_X96(X95),X95) ),
inference(conjunct,[],[normalize_0_13]) ).
fof(normalize_0_27,plain,
! [X101,X102] :
( ~ min_precedes(X101,X102,tptp0)
| ~ occurrence_of(X101,tptp3)
| ~ occurrence_of(X102,tptp1)
| ~ root_occ(X101,skolemFOFtoCNF_X100) ),
inference(conjunct,[],[normalize_0_19]) ).
cnf(refute_0_0,plain,
( ~ activity_occurrence(X52)
| occurrence_of(X52,skolemFOFtoCNF_X53(X52)) ),
inference(canonicalize,[],[normalize_0_3]) ).
cnf(refute_0_1,plain,
( ~ activity_occurrence(skolemFOFtoCNF_X98(skolemFOFtoCNF_X100))
| occurrence_of(skolemFOFtoCNF_X98(skolemFOFtoCNF_X100),skolemFOFtoCNF_X53(skolemFOFtoCNF_X98(skolemFOFtoCNF_X100))) ),
inference(subst,[],[refute_0_0:[bind(X52,$fot(skolemFOFtoCNF_X98(skolemFOFtoCNF_X100)))]]) ).
cnf(refute_0_2,plain,
( ~ occurrence_of(X90,X89)
| activity_occurrence(X90) ),
inference(canonicalize,[],[normalize_0_7]) ).
cnf(refute_0_3,plain,
( ~ occurrence_of(skolemFOFtoCNF_X98(skolemFOFtoCNF_X100),tptp1)
| activity_occurrence(skolemFOFtoCNF_X98(skolemFOFtoCNF_X100)) ),
inference(subst,[],[refute_0_2:[bind(X89,$fot(tptp1)),bind(X90,$fot(skolemFOFtoCNF_X98(skolemFOFtoCNF_X100)))]]) ).
cnf(refute_0_4,plain,
( ~ occurrence_of(skolemFOFtoCNF_X98(skolemFOFtoCNF_X100),tptp2)
| activity_occurrence(skolemFOFtoCNF_X98(skolemFOFtoCNF_X100)) ),
inference(subst,[],[refute_0_2:[bind(X89,$fot(tptp2)),bind(X90,$fot(skolemFOFtoCNF_X98(skolemFOFtoCNF_X100)))]]) ).
cnf(refute_0_5,plain,
occurrence_of(skolemFOFtoCNF_X100,tptp0),
inference(canonicalize,[],[normalize_0_10]) ).
cnf(refute_0_6,plain,
( ~ occurrence_of(X95,tptp0)
| occurrence_of(skolemFOFtoCNF_X98(X95),tptp1)
| occurrence_of(skolemFOFtoCNF_X98(X95),tptp2) ),
inference(canonicalize,[],[normalize_0_14]) ).
cnf(refute_0_7,plain,
( ~ occurrence_of(skolemFOFtoCNF_X100,tptp0)
| occurrence_of(skolemFOFtoCNF_X98(skolemFOFtoCNF_X100),tptp1)
| occurrence_of(skolemFOFtoCNF_X98(skolemFOFtoCNF_X100),tptp2) ),
inference(subst,[],[refute_0_6:[bind(X95,$fot(skolemFOFtoCNF_X100))]]) ).
cnf(refute_0_8,plain,
( occurrence_of(skolemFOFtoCNF_X98(skolemFOFtoCNF_X100),tptp1)
| occurrence_of(skolemFOFtoCNF_X98(skolemFOFtoCNF_X100),tptp2) ),
inference(resolve,[$cnf( occurrence_of(skolemFOFtoCNF_X100,tptp0) )],[refute_0_5,refute_0_7]) ).
cnf(refute_0_9,plain,
( activity_occurrence(skolemFOFtoCNF_X98(skolemFOFtoCNF_X100))
| occurrence_of(skolemFOFtoCNF_X98(skolemFOFtoCNF_X100),tptp1) ),
inference(resolve,[$cnf( occurrence_of(skolemFOFtoCNF_X98(skolemFOFtoCNF_X100),tptp2) )],[refute_0_8,refute_0_4]) ).
cnf(refute_0_10,plain,
activity_occurrence(skolemFOFtoCNF_X98(skolemFOFtoCNF_X100)),
inference(resolve,[$cnf( occurrence_of(skolemFOFtoCNF_X98(skolemFOFtoCNF_X100),tptp1) )],[refute_0_9,refute_0_3]) ).
cnf(refute_0_11,plain,
occurrence_of(skolemFOFtoCNF_X98(skolemFOFtoCNF_X100),skolemFOFtoCNF_X53(skolemFOFtoCNF_X98(skolemFOFtoCNF_X100))),
inference(resolve,[$cnf( activity_occurrence(skolemFOFtoCNF_X98(skolemFOFtoCNF_X100)) )],[refute_0_10,refute_0_1]) ).
cnf(refute_0_12,plain,
( ~ occurrence_of(X64,X65)
| ~ occurrence_of(X64,X66)
| X65 = X66 ),
inference(canonicalize,[],[normalize_0_16]) ).
cnf(refute_0_13,plain,
( ~ occurrence_of(skolemFOFtoCNF_X98(skolemFOFtoCNF_X100),X_129)
| ~ occurrence_of(skolemFOFtoCNF_X98(skolemFOFtoCNF_X100),skolemFOFtoCNF_X53(skolemFOFtoCNF_X98(skolemFOFtoCNF_X100)))
| skolemFOFtoCNF_X53(skolemFOFtoCNF_X98(skolemFOFtoCNF_X100)) = X_129 ),
inference(subst,[],[refute_0_12:[bind(X64,$fot(skolemFOFtoCNF_X98(skolemFOFtoCNF_X100))),bind(X65,$fot(skolemFOFtoCNF_X53(skolemFOFtoCNF_X98(skolemFOFtoCNF_X100)))),bind(X66,$fot(X_129))]]) ).
cnf(refute_0_14,plain,
( ~ occurrence_of(skolemFOFtoCNF_X98(skolemFOFtoCNF_X100),X_129)
| skolemFOFtoCNF_X53(skolemFOFtoCNF_X98(skolemFOFtoCNF_X100)) = X_129 ),
inference(resolve,[$cnf( occurrence_of(skolemFOFtoCNF_X98(skolemFOFtoCNF_X100),skolemFOFtoCNF_X53(skolemFOFtoCNF_X98(skolemFOFtoCNF_X100))) )],[refute_0_11,refute_0_13]) ).
cnf(refute_0_15,plain,
( ~ occurrence_of(skolemFOFtoCNF_X98(skolemFOFtoCNF_X100),tptp1)
| skolemFOFtoCNF_X53(skolemFOFtoCNF_X98(skolemFOFtoCNF_X100)) = tptp1 ),
inference(subst,[],[refute_0_14:[bind(X_129,$fot(tptp1))]]) ).
cnf(refute_0_16,plain,
( ~ occurrence_of(skolemFOFtoCNF_X98(skolemFOFtoCNF_X100),tptp2)
| skolemFOFtoCNF_X53(skolemFOFtoCNF_X98(skolemFOFtoCNF_X100)) = tptp2 ),
inference(subst,[],[refute_0_14:[bind(X_129,$fot(tptp2))]]) ).
cnf(refute_0_17,plain,
( skolemFOFtoCNF_X53(skolemFOFtoCNF_X98(skolemFOFtoCNF_X100)) = tptp2
| occurrence_of(skolemFOFtoCNF_X98(skolemFOFtoCNF_X100),tptp1) ),
inference(resolve,[$cnf( occurrence_of(skolemFOFtoCNF_X98(skolemFOFtoCNF_X100),tptp2) )],[refute_0_8,refute_0_16]) ).
cnf(refute_0_18,plain,
( skolemFOFtoCNF_X53(skolemFOFtoCNF_X98(skolemFOFtoCNF_X100)) = tptp1
| skolemFOFtoCNF_X53(skolemFOFtoCNF_X98(skolemFOFtoCNF_X100)) = tptp2 ),
inference(resolve,[$cnf( occurrence_of(skolemFOFtoCNF_X98(skolemFOFtoCNF_X100),tptp1) )],[refute_0_17,refute_0_15]) ).
cnf(refute_0_19,plain,
( skolemFOFtoCNF_X53(skolemFOFtoCNF_X98(skolemFOFtoCNF_X100)) != tptp2
| ~ occurrence_of(skolemFOFtoCNF_X98(skolemFOFtoCNF_X100),skolemFOFtoCNF_X53(skolemFOFtoCNF_X98(skolemFOFtoCNF_X100)))
| occurrence_of(skolemFOFtoCNF_X98(skolemFOFtoCNF_X100),tptp2) ),
introduced(tautology,[equality,[$cnf( occurrence_of(skolemFOFtoCNF_X98(skolemFOFtoCNF_X100),skolemFOFtoCNF_X53(skolemFOFtoCNF_X98(skolemFOFtoCNF_X100))) ),[1],$fot(tptp2)]]) ).
cnf(refute_0_20,plain,
( ~ occurrence_of(skolemFOFtoCNF_X98(skolemFOFtoCNF_X100),skolemFOFtoCNF_X53(skolemFOFtoCNF_X98(skolemFOFtoCNF_X100)))
| skolemFOFtoCNF_X53(skolemFOFtoCNF_X98(skolemFOFtoCNF_X100)) = tptp1
| occurrence_of(skolemFOFtoCNF_X98(skolemFOFtoCNF_X100),tptp2) ),
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_X53(skolemFOFtoCNF_X98(skolemFOFtoCNF_X100)),tptp2) )],[refute_0_18,refute_0_19]) ).
cnf(refute_0_21,plain,
( skolemFOFtoCNF_X53(skolemFOFtoCNF_X98(skolemFOFtoCNF_X100)) = tptp1
| occurrence_of(skolemFOFtoCNF_X98(skolemFOFtoCNF_X100),tptp2) ),
inference(resolve,[$cnf( occurrence_of(skolemFOFtoCNF_X98(skolemFOFtoCNF_X100),skolemFOFtoCNF_X53(skolemFOFtoCNF_X98(skolemFOFtoCNF_X100))) )],[refute_0_11,refute_0_20]) ).
cnf(refute_0_22,plain,
( ~ min_precedes(X101,X102,tptp0)
| ~ occurrence_of(X101,tptp3)
| ~ occurrence_of(X102,tptp2)
| ~ root_occ(X101,skolemFOFtoCNF_X100) ),
inference(canonicalize,[],[normalize_0_20]) ).
cnf(refute_0_23,plain,
( ~ min_precedes(skolemFOFtoCNF_X96(skolemFOFtoCNF_X100),skolemFOFtoCNF_X98(skolemFOFtoCNF_X100),tptp0)
| ~ occurrence_of(skolemFOFtoCNF_X96(skolemFOFtoCNF_X100),tptp3)
| ~ occurrence_of(skolemFOFtoCNF_X98(skolemFOFtoCNF_X100),tptp2)
| ~ root_occ(skolemFOFtoCNF_X96(skolemFOFtoCNF_X100),skolemFOFtoCNF_X100) ),
inference(subst,[],[refute_0_22:[bind(X101,$fot(skolemFOFtoCNF_X96(skolemFOFtoCNF_X100))),bind(X102,$fot(skolemFOFtoCNF_X98(skolemFOFtoCNF_X100)))]]) ).
cnf(refute_0_24,plain,
( ~ occurrence_of(X95,tptp0)
| min_precedes(skolemFOFtoCNF_X96(X95),skolemFOFtoCNF_X97(X95),tptp0) ),
inference(canonicalize,[],[normalize_0_21]) ).
cnf(refute_0_25,plain,
( ~ occurrence_of(skolemFOFtoCNF_X100,tptp0)
| min_precedes(skolemFOFtoCNF_X96(skolemFOFtoCNF_X100),skolemFOFtoCNF_X97(skolemFOFtoCNF_X100),tptp0) ),
inference(subst,[],[refute_0_24:[bind(X95,$fot(skolemFOFtoCNF_X100))]]) ).
cnf(refute_0_26,plain,
min_precedes(skolemFOFtoCNF_X96(skolemFOFtoCNF_X100),skolemFOFtoCNF_X97(skolemFOFtoCNF_X100),tptp0),
inference(resolve,[$cnf( occurrence_of(skolemFOFtoCNF_X100,tptp0) )],[refute_0_5,refute_0_25]) ).
cnf(refute_0_27,plain,
( ~ occurrence_of(X95,tptp0)
| min_precedes(skolemFOFtoCNF_X97(X95),skolemFOFtoCNF_X98(X95),tptp0) ),
inference(canonicalize,[],[normalize_0_22]) ).
cnf(refute_0_28,plain,
( ~ occurrence_of(skolemFOFtoCNF_X100,tptp0)
| min_precedes(skolemFOFtoCNF_X97(skolemFOFtoCNF_X100),skolemFOFtoCNF_X98(skolemFOFtoCNF_X100),tptp0) ),
inference(subst,[],[refute_0_27:[bind(X95,$fot(skolemFOFtoCNF_X100))]]) ).
cnf(refute_0_29,plain,
min_precedes(skolemFOFtoCNF_X97(skolemFOFtoCNF_X100),skolemFOFtoCNF_X98(skolemFOFtoCNF_X100),tptp0),
inference(resolve,[$cnf( occurrence_of(skolemFOFtoCNF_X100,tptp0) )],[refute_0_5,refute_0_28]) ).
cnf(refute_0_30,plain,
( ~ min_precedes(X0,X1,X3)
| ~ min_precedes(X1,X2,X3)
| min_precedes(X0,X2,X3) ),
inference(canonicalize,[],[normalize_0_24]) ).
cnf(refute_0_31,plain,
( ~ min_precedes(X_327,skolemFOFtoCNF_X97(skolemFOFtoCNF_X100),tptp0)
| ~ min_precedes(skolemFOFtoCNF_X97(skolemFOFtoCNF_X100),skolemFOFtoCNF_X98(skolemFOFtoCNF_X100),tptp0)
| min_precedes(X_327,skolemFOFtoCNF_X98(skolemFOFtoCNF_X100),tptp0) ),
inference(subst,[],[refute_0_30:[bind(X0,$fot(X_327)),bind(X1,$fot(skolemFOFtoCNF_X97(skolemFOFtoCNF_X100))),bind(X2,$fot(skolemFOFtoCNF_X98(skolemFOFtoCNF_X100))),bind(X3,$fot(tptp0))]]) ).
cnf(refute_0_32,plain,
( ~ min_precedes(X_327,skolemFOFtoCNF_X97(skolemFOFtoCNF_X100),tptp0)
| min_precedes(X_327,skolemFOFtoCNF_X98(skolemFOFtoCNF_X100),tptp0) ),
inference(resolve,[$cnf( min_precedes(skolemFOFtoCNF_X97(skolemFOFtoCNF_X100),skolemFOFtoCNF_X98(skolemFOFtoCNF_X100),tptp0) )],[refute_0_29,refute_0_31]) ).
cnf(refute_0_33,plain,
( ~ min_precedes(skolemFOFtoCNF_X96(skolemFOFtoCNF_X100),skolemFOFtoCNF_X97(skolemFOFtoCNF_X100),tptp0)
| min_precedes(skolemFOFtoCNF_X96(skolemFOFtoCNF_X100),skolemFOFtoCNF_X98(skolemFOFtoCNF_X100),tptp0) ),
inference(subst,[],[refute_0_32:[bind(X_327,$fot(skolemFOFtoCNF_X96(skolemFOFtoCNF_X100)))]]) ).
cnf(refute_0_34,plain,
min_precedes(skolemFOFtoCNF_X96(skolemFOFtoCNF_X100),skolemFOFtoCNF_X98(skolemFOFtoCNF_X100),tptp0),
inference(resolve,[$cnf( min_precedes(skolemFOFtoCNF_X96(skolemFOFtoCNF_X100),skolemFOFtoCNF_X97(skolemFOFtoCNF_X100),tptp0) )],[refute_0_26,refute_0_33]) ).
cnf(refute_0_35,plain,
( ~ occurrence_of(skolemFOFtoCNF_X96(skolemFOFtoCNF_X100),tptp3)
| ~ occurrence_of(skolemFOFtoCNF_X98(skolemFOFtoCNF_X100),tptp2)
| ~ root_occ(skolemFOFtoCNF_X96(skolemFOFtoCNF_X100),skolemFOFtoCNF_X100) ),
inference(resolve,[$cnf( min_precedes(skolemFOFtoCNF_X96(skolemFOFtoCNF_X100),skolemFOFtoCNF_X98(skolemFOFtoCNF_X100),tptp0) )],[refute_0_34,refute_0_23]) ).
cnf(refute_0_36,plain,
( ~ occurrence_of(X95,tptp0)
| occurrence_of(skolemFOFtoCNF_X96(X95),tptp3) ),
inference(canonicalize,[],[normalize_0_25]) ).
cnf(refute_0_37,plain,
( ~ occurrence_of(skolemFOFtoCNF_X100,tptp0)
| occurrence_of(skolemFOFtoCNF_X96(skolemFOFtoCNF_X100),tptp3) ),
inference(subst,[],[refute_0_36:[bind(X95,$fot(skolemFOFtoCNF_X100))]]) ).
cnf(refute_0_38,plain,
occurrence_of(skolemFOFtoCNF_X96(skolemFOFtoCNF_X100),tptp3),
inference(resolve,[$cnf( occurrence_of(skolemFOFtoCNF_X100,tptp0) )],[refute_0_5,refute_0_37]) ).
cnf(refute_0_39,plain,
( ~ occurrence_of(skolemFOFtoCNF_X98(skolemFOFtoCNF_X100),tptp2)
| ~ root_occ(skolemFOFtoCNF_X96(skolemFOFtoCNF_X100),skolemFOFtoCNF_X100) ),
inference(resolve,[$cnf( occurrence_of(skolemFOFtoCNF_X96(skolemFOFtoCNF_X100),tptp3) )],[refute_0_38,refute_0_35]) ).
cnf(refute_0_40,plain,
( ~ occurrence_of(X95,tptp0)
| root_occ(skolemFOFtoCNF_X96(X95),X95) ),
inference(canonicalize,[],[normalize_0_26]) ).
cnf(refute_0_41,plain,
( ~ occurrence_of(skolemFOFtoCNF_X100,tptp0)
| root_occ(skolemFOFtoCNF_X96(skolemFOFtoCNF_X100),skolemFOFtoCNF_X100) ),
inference(subst,[],[refute_0_40:[bind(X95,$fot(skolemFOFtoCNF_X100))]]) ).
cnf(refute_0_42,plain,
root_occ(skolemFOFtoCNF_X96(skolemFOFtoCNF_X100),skolemFOFtoCNF_X100),
inference(resolve,[$cnf( occurrence_of(skolemFOFtoCNF_X100,tptp0) )],[refute_0_5,refute_0_41]) ).
cnf(refute_0_43,plain,
~ occurrence_of(skolemFOFtoCNF_X98(skolemFOFtoCNF_X100),tptp2),
inference(resolve,[$cnf( root_occ(skolemFOFtoCNF_X96(skolemFOFtoCNF_X100),skolemFOFtoCNF_X100) )],[refute_0_42,refute_0_39]) ).
cnf(refute_0_44,plain,
skolemFOFtoCNF_X53(skolemFOFtoCNF_X98(skolemFOFtoCNF_X100)) = tptp1,
inference(resolve,[$cnf( occurrence_of(skolemFOFtoCNF_X98(skolemFOFtoCNF_X100),tptp2) )],[refute_0_21,refute_0_43]) ).
cnf(refute_0_45,plain,
( skolemFOFtoCNF_X53(skolemFOFtoCNF_X98(skolemFOFtoCNF_X100)) != tptp1
| ~ occurrence_of(skolemFOFtoCNF_X98(skolemFOFtoCNF_X100),skolemFOFtoCNF_X53(skolemFOFtoCNF_X98(skolemFOFtoCNF_X100)))
| occurrence_of(skolemFOFtoCNF_X98(skolemFOFtoCNF_X100),tptp1) ),
introduced(tautology,[equality,[$cnf( occurrence_of(skolemFOFtoCNF_X98(skolemFOFtoCNF_X100),skolemFOFtoCNF_X53(skolemFOFtoCNF_X98(skolemFOFtoCNF_X100))) ),[1],$fot(tptp1)]]) ).
cnf(refute_0_46,plain,
( ~ occurrence_of(skolemFOFtoCNF_X98(skolemFOFtoCNF_X100),skolemFOFtoCNF_X53(skolemFOFtoCNF_X98(skolemFOFtoCNF_X100)))
| occurrence_of(skolemFOFtoCNF_X98(skolemFOFtoCNF_X100),tptp1) ),
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_X53(skolemFOFtoCNF_X98(skolemFOFtoCNF_X100)),tptp1) )],[refute_0_44,refute_0_45]) ).
cnf(refute_0_47,plain,
occurrence_of(skolemFOFtoCNF_X98(skolemFOFtoCNF_X100),tptp1),
inference(resolve,[$cnf( occurrence_of(skolemFOFtoCNF_X98(skolemFOFtoCNF_X100),skolemFOFtoCNF_X53(skolemFOFtoCNF_X98(skolemFOFtoCNF_X100))) )],[refute_0_11,refute_0_46]) ).
cnf(refute_0_48,plain,
( ~ min_precedes(X101,X102,tptp0)
| ~ occurrence_of(X101,tptp3)
| ~ occurrence_of(X102,tptp1)
| ~ root_occ(X101,skolemFOFtoCNF_X100) ),
inference(canonicalize,[],[normalize_0_27]) ).
cnf(refute_0_49,plain,
( ~ min_precedes(skolemFOFtoCNF_X96(skolemFOFtoCNF_X100),skolemFOFtoCNF_X98(skolemFOFtoCNF_X100),tptp0)
| ~ occurrence_of(skolemFOFtoCNF_X96(skolemFOFtoCNF_X100),tptp3)
| ~ occurrence_of(skolemFOFtoCNF_X98(skolemFOFtoCNF_X100),tptp1)
| ~ root_occ(skolemFOFtoCNF_X96(skolemFOFtoCNF_X100),skolemFOFtoCNF_X100) ),
inference(subst,[],[refute_0_48:[bind(X101,$fot(skolemFOFtoCNF_X96(skolemFOFtoCNF_X100))),bind(X102,$fot(skolemFOFtoCNF_X98(skolemFOFtoCNF_X100)))]]) ).
cnf(refute_0_50,plain,
( ~ occurrence_of(skolemFOFtoCNF_X96(skolemFOFtoCNF_X100),tptp3)
| ~ occurrence_of(skolemFOFtoCNF_X98(skolemFOFtoCNF_X100),tptp1)
| ~ root_occ(skolemFOFtoCNF_X96(skolemFOFtoCNF_X100),skolemFOFtoCNF_X100) ),
inference(resolve,[$cnf( min_precedes(skolemFOFtoCNF_X96(skolemFOFtoCNF_X100),skolemFOFtoCNF_X98(skolemFOFtoCNF_X100),tptp0) )],[refute_0_34,refute_0_49]) ).
cnf(refute_0_51,plain,
( ~ occurrence_of(skolemFOFtoCNF_X98(skolemFOFtoCNF_X100),tptp1)
| ~ root_occ(skolemFOFtoCNF_X96(skolemFOFtoCNF_X100),skolemFOFtoCNF_X100) ),
inference(resolve,[$cnf( occurrence_of(skolemFOFtoCNF_X96(skolemFOFtoCNF_X100),tptp3) )],[refute_0_38,refute_0_50]) ).
cnf(refute_0_52,plain,
~ occurrence_of(skolemFOFtoCNF_X98(skolemFOFtoCNF_X100),tptp1),
inference(resolve,[$cnf( root_occ(skolemFOFtoCNF_X96(skolemFOFtoCNF_X100),skolemFOFtoCNF_X100) )],[refute_0_42,refute_0_51]) ).
cnf(refute_0_53,plain,
$false,
inference(resolve,[$cnf( occurrence_of(skolemFOFtoCNF_X98(skolemFOFtoCNF_X100),tptp1) )],[refute_0_47,refute_0_52]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : PRO012+2 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.12 % Command : metis --show proof --show saturation %s
% 0.13/0.33 % Computer : n014.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Mon Jun 13 03:20:22 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 253.09/253.26 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 253.09/253.26
% 253.09/253.26 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 253.09/253.26
%------------------------------------------------------------------------------