TSTP Solution File: CSR018+1 by Metis---2.4
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- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : CSR018+1 : TPTP v8.1.0. Bugfixed v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n011.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 : Fri Jul 15 21:56:33 EDT 2022
% Result : Theorem 0.61s 0.78s
% Output : CNFRefutation 0.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 22
% Syntax : Number of formulae : 123 ( 30 unt; 2 def)
% Number of atoms : 432 ( 181 equ)
% Maximal formula atoms : 46 ( 3 avg)
% Number of connectives : 526 ( 217 ~; 220 |; 64 &)
% ( 24 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 10 ( 7 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 8 con; 0-2 aty)
% Number of variables : 153 ( 1 sgn 93 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(happens_holds,axiom,
! [Event,Time,Fluent] :
( ( happens(Event,Time)
& initiates(Event,Fluent,Time) )
=> holdsAt(Fluent,plus(Time,n1)) ) ).
fof(initiates_all_defn,axiom,
! [Event,Fluent,Time] :
( initiates(Event,Fluent,Time)
<=> ( ( Event = push
& Fluent = forwards
& ~ happens(pull,Time) )
| ( Event = pull
& Fluent = backwards
& ~ happens(push,Time) )
| ( Event = pull
& Fluent = spinning
& happens(push,Time) ) ) ) ).
fof(happens_all_defn,axiom,
! [Event,Time] :
( happens(Event,Time)
<=> ( ( Event = push
& Time = n0 )
| ( Event = pull
& Time = n1 )
| ( Event = pull
& Time = n2 )
| ( Event = push
& Time = n2 ) ) ) ).
fof(push_not_pull,axiom,
push != pull ).
fof(plus1_1,axiom,
plus(n1,n1) = n2 ).
fof(less_or_equal,axiom,
! [X,Y] :
( less_or_equal(X,Y)
<=> ( less(X,Y)
| X = Y ) ) ).
fof(less1,axiom,
! [X] :
( less(X,n1)
<=> less_or_equal(X,n0) ) ).
fof(less2,axiom,
! [X] :
( less(X,n2)
<=> less_or_equal(X,n1) ) ).
fof(less_property,axiom,
! [X,Y] :
( less(X,Y)
<=> ( ~ less(Y,X)
& Y != X ) ) ).
fof(backwards_2,conjecture,
holdsAt(backwards,n2) ).
fof(definition_0,definition,
! [Event,Fluent,Time] :
( definitionFOFtoCNF_0(Event,Fluent,Time)
<=> ( Event != pull
| Fluent != backwards
| happens(push,Time) ) ) ).
fof(definition_1,definition,
! [Event,Time] :
( definitionFOFtoCNF_4(Event,Time)
<=> ( Event != pull
| Time != n1 ) ) ).
fof(subgoal_0,plain,
holdsAt(backwards,n2),
inference(strip,[],[backwards_2]) ).
fof(negate_0_0,plain,
~ holdsAt(backwards,n2),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
! [X,Y] :
( ~ less_or_equal(X,Y)
<=> ( X != Y
& ~ less(X,Y) ) ),
inference(canonicalize,[],[less_or_equal]) ).
fof(normalize_0_1,plain,
! [X,Y] :
( ~ less_or_equal(X,Y)
<=> ( X != Y
& ~ less(X,Y) ) ),
inference(specialize,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
! [X,Y] :
( ( X != Y
| less_or_equal(X,Y) )
& ( ~ less(X,Y)
| less_or_equal(X,Y) )
& ( ~ less_or_equal(X,Y)
| X = Y
| less(X,Y) ) ),
inference(clausify,[],[normalize_0_1]) ).
fof(normalize_0_3,plain,
! [X,Y] :
( X != Y
| less_or_equal(X,Y) ),
inference(conjunct,[],[normalize_0_2]) ).
fof(normalize_0_4,plain,
! [X] :
( ~ less(X,n1)
<=> ~ less_or_equal(X,n0) ),
inference(canonicalize,[],[less1]) ).
fof(normalize_0_5,plain,
! [X] :
( ~ less(X,n1)
<=> ~ less_or_equal(X,n0) ),
inference(specialize,[],[normalize_0_4]) ).
fof(normalize_0_6,plain,
! [X] :
( ( ~ less(X,n1)
| less_or_equal(X,n0) )
& ( ~ less_or_equal(X,n0)
| less(X,n1) ) ),
inference(clausify,[],[normalize_0_5]) ).
fof(normalize_0_7,plain,
! [X] :
( ~ less_or_equal(X,n0)
| less(X,n1) ),
inference(conjunct,[],[normalize_0_6]) ).
fof(normalize_0_8,plain,
! [X] :
( ~ less(X,n2)
<=> ~ less_or_equal(X,n1) ),
inference(canonicalize,[],[less2]) ).
fof(normalize_0_9,plain,
! [X] :
( ~ less(X,n2)
<=> ~ less_or_equal(X,n1) ),
inference(specialize,[],[normalize_0_8]) ).
fof(normalize_0_10,plain,
! [X] :
( ( ~ less(X,n2)
| less_or_equal(X,n1) )
& ( ~ less_or_equal(X,n1)
| less(X,n2) ) ),
inference(clausify,[],[normalize_0_9]) ).
fof(normalize_0_11,plain,
! [X] :
( ~ less_or_equal(X,n1)
| less(X,n2) ),
inference(conjunct,[],[normalize_0_10]) ).
fof(normalize_0_12,plain,
! [Event,Time] :
( ~ definitionFOFtoCNF_4(Event,Time)
<=> ( Event = pull
& Time = n1 ) ),
inference(canonicalize,[],[definition_1]) ).
fof(normalize_0_13,plain,
! [Event,Time] :
( ( Event = pull
| definitionFOFtoCNF_4(Event,Time) )
& ( Time = n1
| definitionFOFtoCNF_4(Event,Time) )
& ( Event != pull
| Time != n1
| ~ definitionFOFtoCNF_4(Event,Time) ) ),
inference(clausify,[],[normalize_0_12]) ).
fof(normalize_0_14,plain,
! [Event,Time] :
( Event = pull
| definitionFOFtoCNF_4(Event,Time) ),
inference(conjunct,[],[normalize_0_13]) ).
fof(normalize_0_15,plain,
! [Event,Time] :
( ~ happens(Event,Time)
<=> ( ( Event != pull
| Time != n1 )
& ( Event != pull
| Time != n2 )
& ( Event != push
| Time != n0 )
& ( Event != push
| Time != n2 ) ) ),
inference(canonicalize,[],[happens_all_defn]) ).
fof(normalize_0_16,plain,
! [Event,Time] :
( ~ happens(Event,Time)
<=> ( ( Event != pull
| Time != n1 )
& ( Event != pull
| Time != n2 )
& ( Event != push
| Time != n0 )
& ( Event != push
| Time != n2 ) ) ),
inference(specialize,[],[normalize_0_15]) ).
fof(normalize_0_17,plain,
! [Event,Time] :
( ~ happens(Event,Time)
<=> ( definitionFOFtoCNF_4(Event,Time)
& ( Event != pull
| Time != n2 )
& ( Event != push
| Time != n0 )
& ( Event != push
| Time != n2 ) ) ),
inference(simplify,[],[normalize_0_16,normalize_0_12]) ).
fof(normalize_0_18,plain,
! [Event,Time] :
( ( definitionFOFtoCNF_4(Event,Time)
| happens(Event,Time) )
& ( Event != pull
| Time != n2
| happens(Event,Time) )
& ( Event != push
| Time != n0
| happens(Event,Time) )
& ( Event != push
| Time != n2
| happens(Event,Time) )
& ( ~ definitionFOFtoCNF_4(Event,Time)
| ~ happens(Event,Time)
| Event = pull
| Event = push )
& ( ~ definitionFOFtoCNF_4(Event,Time)
| ~ happens(Event,Time)
| Event = push
| Time = n2 )
& ( ~ definitionFOFtoCNF_4(Event,Time)
| ~ happens(Event,Time)
| Time = n0
| Time = n2 )
& ( ~ definitionFOFtoCNF_4(Event,Time)
| ~ happens(Event,Time)
| Event = pull
| Event = push
| Time = n0 )
& ( ~ definitionFOFtoCNF_4(Event,Time)
| ~ happens(Event,Time)
| Event = pull
| Event = push
| Time = n2 )
& ( ~ definitionFOFtoCNF_4(Event,Time)
| ~ happens(Event,Time)
| Event = pull
| Time = n0
| Time = n2 )
& ( ~ definitionFOFtoCNF_4(Event,Time)
| ~ happens(Event,Time)
| Event = push
| Time = n0
| Time = n2 ) ),
inference(clausify,[],[normalize_0_17]) ).
fof(normalize_0_19,plain,
! [Event,Time] :
( ~ definitionFOFtoCNF_4(Event,Time)
| ~ happens(Event,Time)
| Time = n0
| Time = n2 ),
inference(conjunct,[],[normalize_0_18]) ).
fof(normalize_0_20,plain,
! [Event,Fluent,Time] :
( ~ definitionFOFtoCNF_0(Event,Fluent,Time)
<=> ( ~ happens(push,Time)
& Event = pull
& Fluent = backwards ) ),
inference(canonicalize,[],[definition_0]) ).
fof(normalize_0_21,plain,
! [Event,Fluent,Time] :
( ( ~ happens(push,Time)
| definitionFOFtoCNF_0(Event,Fluent,Time) )
& ( Event = pull
| definitionFOFtoCNF_0(Event,Fluent,Time) )
& ( Fluent = backwards
| definitionFOFtoCNF_0(Event,Fluent,Time) )
& ( Event != pull
| Fluent != backwards
| ~ definitionFOFtoCNF_0(Event,Fluent,Time)
| happens(push,Time) ) ),
inference(clausify,[],[normalize_0_20]) ).
fof(normalize_0_22,plain,
! [Event,Fluent,Time] :
( Event != pull
| Fluent != backwards
| ~ definitionFOFtoCNF_0(Event,Fluent,Time)
| happens(push,Time) ),
inference(conjunct,[],[normalize_0_21]) ).
fof(normalize_0_23,plain,
! [Event,Time] :
( definitionFOFtoCNF_4(Event,Time)
| happens(Event,Time) ),
inference(conjunct,[],[normalize_0_18]) ).
fof(normalize_0_24,plain,
! [Event,Fluent,Time] :
( ~ initiates(Event,Fluent,Time)
<=> ( ( Event != pull
| Fluent != backwards
| happens(push,Time) )
& ( Event != pull
| Fluent != spinning
| ~ happens(push,Time) )
& ( Event != push
| Fluent != forwards
| happens(pull,Time) ) ) ),
inference(canonicalize,[],[initiates_all_defn]) ).
fof(normalize_0_25,plain,
! [Event,Fluent,Time] :
( ~ initiates(Event,Fluent,Time)
<=> ( ( Event != pull
| Fluent != backwards
| happens(push,Time) )
& ( Event != pull
| Fluent != spinning
| ~ happens(push,Time) )
& ( Event != push
| Fluent != forwards
| happens(pull,Time) ) ) ),
inference(specialize,[],[normalize_0_24]) ).
fof(normalize_0_26,plain,
! [Event,Fluent,Time] :
( ~ initiates(Event,Fluent,Time)
<=> ( definitionFOFtoCNF_0(Event,Fluent,Time)
& ( Event != pull
| Fluent != spinning
| ~ happens(push,Time) )
& ( Event != push
| Fluent != forwards
| happens(pull,Time) ) ) ),
inference(simplify,[],[normalize_0_25,normalize_0_20]) ).
fof(normalize_0_27,plain,
! [Event,Fluent,Time] :
( ( definitionFOFtoCNF_0(Event,Fluent,Time)
| initiates(Event,Fluent,Time) )
& ( Event != pull
| Fluent != spinning
| ~ happens(push,Time)
| initiates(Event,Fluent,Time) )
& ( Event != push
| Fluent != forwards
| happens(pull,Time)
| initiates(Event,Fluent,Time) )
& ( ~ definitionFOFtoCNF_0(Event,Fluent,Time)
| ~ happens(pull,Time)
| ~ initiates(Event,Fluent,Time)
| Event = pull )
& ( ~ definitionFOFtoCNF_0(Event,Fluent,Time)
| ~ happens(pull,Time)
| ~ initiates(Event,Fluent,Time)
| Fluent = spinning )
& ( ~ definitionFOFtoCNF_0(Event,Fluent,Time)
| ~ happens(pull,Time)
| ~ initiates(Event,Fluent,Time)
| happens(push,Time) )
& ( ~ definitionFOFtoCNF_0(Event,Fluent,Time)
| ~ initiates(Event,Fluent,Time)
| Event = pull
| Event = push )
& ( ~ definitionFOFtoCNF_0(Event,Fluent,Time)
| ~ initiates(Event,Fluent,Time)
| Event = pull
| Fluent = forwards )
& ( ~ definitionFOFtoCNF_0(Event,Fluent,Time)
| ~ initiates(Event,Fluent,Time)
| Event = push
| Fluent = spinning )
& ( ~ definitionFOFtoCNF_0(Event,Fluent,Time)
| ~ initiates(Event,Fluent,Time)
| Event = push
| happens(push,Time) )
& ( ~ definitionFOFtoCNF_0(Event,Fluent,Time)
| ~ initiates(Event,Fluent,Time)
| Fluent = forwards
| Fluent = spinning )
& ( ~ definitionFOFtoCNF_0(Event,Fluent,Time)
| ~ initiates(Event,Fluent,Time)
| Fluent = forwards
| happens(push,Time) ) ),
inference(clausify,[],[normalize_0_26]) ).
fof(normalize_0_28,plain,
! [Event,Fluent,Time] :
( definitionFOFtoCNF_0(Event,Fluent,Time)
| initiates(Event,Fluent,Time) ),
inference(conjunct,[],[normalize_0_27]) ).
fof(normalize_0_29,plain,
! [Event,Fluent,Time] :
( ~ happens(Event,Time)
| ~ initiates(Event,Fluent,Time)
| holdsAt(Fluent,plus(Time,n1)) ),
inference(canonicalize,[],[happens_holds]) ).
fof(normalize_0_30,plain,
! [Event,Fluent,Time] :
( ~ happens(Event,Time)
| ~ initiates(Event,Fluent,Time)
| holdsAt(Fluent,plus(Time,n1)) ),
inference(specialize,[],[normalize_0_29]) ).
fof(normalize_0_31,plain,
plus(n1,n1) = n2,
inference(canonicalize,[],[plus1_1]) ).
fof(normalize_0_32,plain,
! [Event,Time] :
( Event != pull
| Time != n1
| ~ definitionFOFtoCNF_4(Event,Time) ),
inference(conjunct,[],[normalize_0_13]) ).
fof(normalize_0_33,plain,
~ holdsAt(backwards,n2),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_34,plain,
push != pull,
inference(canonicalize,[],[push_not_pull]) ).
fof(normalize_0_35,plain,
! [X,Y] :
( ~ less(X,Y)
<=> ( Y = X
| less(Y,X) ) ),
inference(canonicalize,[],[less_property]) ).
fof(normalize_0_36,plain,
! [X,Y] :
( ~ less(X,Y)
<=> ( Y = X
| less(Y,X) ) ),
inference(specialize,[],[normalize_0_35]) ).
fof(normalize_0_37,plain,
! [X,Y] :
( ( Y != X
| ~ less(X,Y) )
& ( ~ less(X,Y)
| ~ less(Y,X) )
& ( Y = X
| less(X,Y)
| less(Y,X) ) ),
inference(clausify,[],[normalize_0_36]) ).
fof(normalize_0_38,plain,
! [X,Y] :
( Y != X
| ~ less(X,Y) ),
inference(conjunct,[],[normalize_0_37]) ).
cnf(refute_0_0,plain,
( X != Y
| less_or_equal(X,Y) ),
inference(canonicalize,[],[normalize_0_3]) ).
cnf(refute_0_1,plain,
( Y != Y
| less_or_equal(Y,Y) ),
inference(subst,[],[refute_0_0:[bind(X,$fot(Y))]]) ).
cnf(refute_0_2,plain,
Y = Y,
introduced(tautology,[refl,[$fot(Y)]]) ).
cnf(refute_0_3,plain,
less_or_equal(Y,Y),
inference(resolve,[$cnf( $equal(Y,Y) )],[refute_0_2,refute_0_1]) ).
cnf(refute_0_4,plain,
less_or_equal(n0,n0),
inference(subst,[],[refute_0_3:[bind(Y,$fot(n0))]]) ).
cnf(refute_0_5,plain,
( ~ less_or_equal(X,n0)
| less(X,n1) ),
inference(canonicalize,[],[normalize_0_7]) ).
cnf(refute_0_6,plain,
( ~ less_or_equal(n0,n0)
| less(n0,n1) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(n0))]]) ).
cnf(refute_0_7,plain,
less(n0,n1),
inference(resolve,[$cnf( less_or_equal(n0,n0) )],[refute_0_4,refute_0_6]) ).
cnf(refute_0_8,plain,
less_or_equal(n1,n1),
inference(subst,[],[refute_0_3:[bind(Y,$fot(n1))]]) ).
cnf(refute_0_9,plain,
( ~ less_or_equal(X,n1)
| less(X,n2) ),
inference(canonicalize,[],[normalize_0_11]) ).
cnf(refute_0_10,plain,
( ~ less_or_equal(n1,n1)
| less(n1,n2) ),
inference(subst,[],[refute_0_9:[bind(X,$fot(n1))]]) ).
cnf(refute_0_11,plain,
less(n1,n2),
inference(resolve,[$cnf( less_or_equal(n1,n1) )],[refute_0_8,refute_0_10]) ).
cnf(refute_0_12,plain,
( Event = pull
| definitionFOFtoCNF_4(Event,Time) ),
inference(canonicalize,[],[normalize_0_14]) ).
cnf(refute_0_13,plain,
( push = pull
| definitionFOFtoCNF_4(push,n1) ),
inference(subst,[],[refute_0_12:[bind(Event,$fot(push)),bind(Time,$fot(n1))]]) ).
cnf(refute_0_14,plain,
( ~ definitionFOFtoCNF_4(Event,Time)
| ~ happens(Event,Time)
| Time = n0
| Time = n2 ),
inference(canonicalize,[],[normalize_0_19]) ).
cnf(refute_0_15,plain,
( ~ definitionFOFtoCNF_4(push,n1)
| ~ happens(push,n1)
| n1 = n0
| n1 = n2 ),
inference(subst,[],[refute_0_14:[bind(Event,$fot(push)),bind(Time,$fot(n1))]]) ).
cnf(refute_0_16,plain,
( Event != pull
| Fluent != backwards
| ~ definitionFOFtoCNF_0(Event,Fluent,Time)
| happens(push,Time) ),
inference(canonicalize,[],[normalize_0_22]) ).
cnf(refute_0_17,plain,
( backwards != backwards
| pull != pull
| ~ definitionFOFtoCNF_0(pull,backwards,Time)
| happens(push,Time) ),
inference(subst,[],[refute_0_16:[bind(Event,$fot(pull)),bind(Fluent,$fot(backwards))]]) ).
cnf(refute_0_18,plain,
backwards = backwards,
introduced(tautology,[refl,[$fot(backwards)]]) ).
cnf(refute_0_19,plain,
( pull != pull
| ~ definitionFOFtoCNF_0(pull,backwards,Time)
| happens(push,Time) ),
inference(resolve,[$cnf( $equal(backwards,backwards) )],[refute_0_18,refute_0_17]) ).
cnf(refute_0_20,plain,
pull = pull,
introduced(tautology,[refl,[$fot(pull)]]) ).
cnf(refute_0_21,plain,
( ~ definitionFOFtoCNF_0(pull,backwards,Time)
| happens(push,Time) ),
inference(resolve,[$cnf( $equal(pull,pull) )],[refute_0_20,refute_0_19]) ).
cnf(refute_0_22,plain,
( ~ definitionFOFtoCNF_0(pull,backwards,n1)
| happens(push,n1) ),
inference(subst,[],[refute_0_21:[bind(Time,$fot(n1))]]) ).
cnf(refute_0_23,plain,
( definitionFOFtoCNF_4(Event,Time)
| happens(Event,Time) ),
inference(canonicalize,[],[normalize_0_23]) ).
cnf(refute_0_24,plain,
( definitionFOFtoCNF_4(X_415,X_417)
| happens(X_415,X_417) ),
inference(subst,[],[refute_0_23:[bind(Event,$fot(X_415)),bind(Time,$fot(X_417))]]) ).
cnf(refute_0_25,plain,
( definitionFOFtoCNF_0(Event,Fluent,Time)
| initiates(Event,Fluent,Time) ),
inference(canonicalize,[],[normalize_0_28]) ).
cnf(refute_0_26,plain,
( definitionFOFtoCNF_0(X_264,X_265,X_266)
| initiates(X_264,X_265,X_266) ),
inference(subst,[],[refute_0_25:[bind(Event,$fot(X_264)),bind(Fluent,$fot(X_265)),bind(Time,$fot(X_266))]]) ).
cnf(refute_0_27,plain,
( ~ happens(Event,Time)
| ~ initiates(Event,Fluent,Time)
| holdsAt(Fluent,plus(Time,n1)) ),
inference(canonicalize,[],[normalize_0_30]) ).
cnf(refute_0_28,plain,
( ~ happens(X_264,X_266)
| ~ initiates(X_264,X_265,X_266)
| holdsAt(X_265,plus(X_266,n1)) ),
inference(subst,[],[refute_0_27:[bind(Event,$fot(X_264)),bind(Fluent,$fot(X_265)),bind(Time,$fot(X_266))]]) ).
cnf(refute_0_29,plain,
( ~ happens(X_264,X_266)
| definitionFOFtoCNF_0(X_264,X_265,X_266)
| holdsAt(X_265,plus(X_266,n1)) ),
inference(resolve,[$cnf( initiates(X_264,X_265,X_266) )],[refute_0_26,refute_0_28]) ).
cnf(refute_0_30,plain,
( ~ happens(X_415,X_417)
| definitionFOFtoCNF_0(X_415,X_416,X_417)
| holdsAt(X_416,plus(X_417,n1)) ),
inference(subst,[],[refute_0_29:[bind(X_264,$fot(X_415)),bind(X_265,$fot(X_416)),bind(X_266,$fot(X_417))]]) ).
cnf(refute_0_31,plain,
( definitionFOFtoCNF_0(X_415,X_416,X_417)
| definitionFOFtoCNF_4(X_415,X_417)
| holdsAt(X_416,plus(X_417,n1)) ),
inference(resolve,[$cnf( happens(X_415,X_417) )],[refute_0_24,refute_0_30]) ).
cnf(refute_0_32,plain,
( definitionFOFtoCNF_0(X_542,X_543,n1)
| definitionFOFtoCNF_4(X_542,n1)
| holdsAt(X_543,plus(n1,n1)) ),
inference(subst,[],[refute_0_31:[bind(X_415,$fot(X_542)),bind(X_416,$fot(X_543)),bind(X_417,$fot(n1))]]) ).
cnf(refute_0_33,plain,
plus(n1,n1) = n2,
inference(canonicalize,[],[normalize_0_31]) ).
cnf(refute_0_34,plain,
( plus(n1,n1) != n2
| ~ holdsAt(X_543,plus(n1,n1))
| holdsAt(X_543,n2) ),
introduced(tautology,[equality,[$cnf( holdsAt(X_543,plus(n1,n1)) ),[1],$fot(n2)]]) ).
cnf(refute_0_35,plain,
( ~ holdsAt(X_543,plus(n1,n1))
| holdsAt(X_543,n2) ),
inference(resolve,[$cnf( $equal(plus(n1,n1),n2) )],[refute_0_33,refute_0_34]) ).
cnf(refute_0_36,plain,
( definitionFOFtoCNF_0(X_542,X_543,n1)
| definitionFOFtoCNF_4(X_542,n1)
| holdsAt(X_543,n2) ),
inference(resolve,[$cnf( holdsAt(X_543,plus(n1,n1)) )],[refute_0_32,refute_0_35]) ).
cnf(refute_0_37,plain,
( definitionFOFtoCNF_0(pull,backwards,n1)
| definitionFOFtoCNF_4(pull,n1)
| holdsAt(backwards,n2) ),
inference(subst,[],[refute_0_36:[bind(X_542,$fot(pull)),bind(X_543,$fot(backwards))]]) ).
cnf(refute_0_38,plain,
( definitionFOFtoCNF_4(pull,n1)
| happens(push,n1)
| holdsAt(backwards,n2) ),
inference(resolve,[$cnf( definitionFOFtoCNF_0(pull,backwards,n1) )],[refute_0_37,refute_0_22]) ).
cnf(refute_0_39,plain,
( Event != pull
| Time != n1
| ~ definitionFOFtoCNF_4(Event,Time) ),
inference(canonicalize,[],[normalize_0_32]) ).
cnf(refute_0_40,plain,
( n1 != n1
| pull != pull
| ~ definitionFOFtoCNF_4(pull,n1) ),
inference(subst,[],[refute_0_39:[bind(Event,$fot(pull)),bind(Time,$fot(n1))]]) ).
cnf(refute_0_41,plain,
n1 = n1,
introduced(tautology,[refl,[$fot(n1)]]) ).
cnf(refute_0_42,plain,
( pull != pull
| ~ definitionFOFtoCNF_4(pull,n1) ),
inference(resolve,[$cnf( $equal(n1,n1) )],[refute_0_41,refute_0_40]) ).
cnf(refute_0_43,plain,
~ definitionFOFtoCNF_4(pull,n1),
inference(resolve,[$cnf( $equal(pull,pull) )],[refute_0_20,refute_0_42]) ).
cnf(refute_0_44,plain,
( happens(push,n1)
| holdsAt(backwards,n2) ),
inference(resolve,[$cnf( definitionFOFtoCNF_4(pull,n1) )],[refute_0_38,refute_0_43]) ).
cnf(refute_0_45,plain,
~ holdsAt(backwards,n2),
inference(canonicalize,[],[normalize_0_33]) ).
cnf(refute_0_46,plain,
happens(push,n1),
inference(resolve,[$cnf( holdsAt(backwards,n2) )],[refute_0_44,refute_0_45]) ).
cnf(refute_0_47,plain,
( ~ definitionFOFtoCNF_4(push,n1)
| n1 = n0
| n1 = n2 ),
inference(resolve,[$cnf( happens(push,n1) )],[refute_0_46,refute_0_15]) ).
cnf(refute_0_48,plain,
( n1 = n0
| n1 = n2
| push = pull ),
inference(resolve,[$cnf( definitionFOFtoCNF_4(push,n1) )],[refute_0_13,refute_0_47]) ).
cnf(refute_0_49,plain,
push != pull,
inference(canonicalize,[],[normalize_0_34]) ).
cnf(refute_0_50,plain,
( n1 = n0
| n1 = n2 ),
inference(resolve,[$cnf( $equal(push,pull) )],[refute_0_48,refute_0_49]) ).
cnf(refute_0_51,plain,
X0 = X0,
introduced(tautology,[refl,[$fot(X0)]]) ).
cnf(refute_0_52,plain,
( X0 != X0
| X0 != Y0
| Y0 = X0 ),
introduced(tautology,[equality,[$cnf( $equal(X0,X0) ),[0],$fot(Y0)]]) ).
cnf(refute_0_53,plain,
( X0 != Y0
| Y0 = X0 ),
inference(resolve,[$cnf( $equal(X0,X0) )],[refute_0_51,refute_0_52]) ).
cnf(refute_0_54,plain,
( n1 != n2
| n2 = n1 ),
inference(subst,[],[refute_0_53:[bind(X0,$fot(n1)),bind(Y0,$fot(n2))]]) ).
cnf(refute_0_55,plain,
( n1 = n0
| n2 = n1 ),
inference(resolve,[$cnf( $equal(n1,n2) )],[refute_0_50,refute_0_54]) ).
cnf(refute_0_56,plain,
( n2 != n1
| ~ less(n1,n2)
| less(n1,n1) ),
introduced(tautology,[equality,[$cnf( less(n1,n2) ),[1],$fot(n1)]]) ).
cnf(refute_0_57,plain,
( ~ less(n1,n2)
| n1 = n0
| less(n1,n1) ),
inference(resolve,[$cnf( $equal(n2,n1) )],[refute_0_55,refute_0_56]) ).
cnf(refute_0_58,plain,
( n1 = n0
| less(n1,n1) ),
inference(resolve,[$cnf( less(n1,n2) )],[refute_0_11,refute_0_57]) ).
cnf(refute_0_59,plain,
( Y != X
| ~ less(X,Y) ),
inference(canonicalize,[],[normalize_0_38]) ).
cnf(refute_0_60,plain,
( X != X
| ~ less(X,X) ),
inference(subst,[],[refute_0_59:[bind(Y,$fot(X))]]) ).
cnf(refute_0_61,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_0_62,plain,
~ less(X,X),
inference(resolve,[$cnf( $equal(X,X) )],[refute_0_61,refute_0_60]) ).
cnf(refute_0_63,plain,
~ less(n1,n1),
inference(subst,[],[refute_0_62:[bind(X,$fot(n1))]]) ).
cnf(refute_0_64,plain,
n1 = n0,
inference(resolve,[$cnf( less(n1,n1) )],[refute_0_58,refute_0_63]) ).
cnf(refute_0_65,plain,
( n1 != n0
| ~ less(n0,n1)
| less(n0,n0) ),
introduced(tautology,[equality,[$cnf( less(n0,n1) ),[1],$fot(n0)]]) ).
cnf(refute_0_66,plain,
( ~ less(n0,n1)
| less(n0,n0) ),
inference(resolve,[$cnf( $equal(n1,n0) )],[refute_0_64,refute_0_65]) ).
cnf(refute_0_67,plain,
less(n0,n0),
inference(resolve,[$cnf( less(n0,n1) )],[refute_0_7,refute_0_66]) ).
cnf(refute_0_68,plain,
~ less(n0,n0),
inference(subst,[],[refute_0_62:[bind(X,$fot(n0))]]) ).
cnf(refute_0_69,plain,
$false,
inference(resolve,[$cnf( less(n0,n0) )],[refute_0_67,refute_0_68]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : CSR018+1 : TPTP v8.1.0. Bugfixed v3.1.0.
% 0.06/0.13 % Command : metis --show proof --show saturation %s
% 0.12/0.34 % Computer : n011.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Sat Jun 11 05:23:16 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.61/0.78 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.61/0.78
% 0.61/0.78 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.61/0.79
%------------------------------------------------------------------------------