TSTP Solution File: CSR017+1 by Metis---2.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : CSR017+1 : TPTP v8.1.0. Bugfixed v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n022.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 21:56:32 EDT 2022
% Result : Theorem 0.20s 0.52s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 25
% Syntax : Number of formulae : 127 ( 34 unt; 4 def)
% Number of atoms : 490 ( 223 equ)
% Maximal formula atoms : 50 ( 3 avg)
% Number of connectives : 632 ( 269 ~; 241 |; 91 &)
% ( 30 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 12 ( 9 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 8 con; 0-2 aty)
% Number of variables : 145 ( 1 sgn 105 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(happens_terminates_not_holds,axiom,
! [Event,Time,Fluent] :
( ( happens(Event,Time)
& terminates(Event,Fluent,Time) )
=> ~ holdsAt(Fluent,plus(Time,n1)) ) ).
fof(terminates_all_defn,axiom,
! [Event,Fluent,Time] :
( terminates(Event,Fluent,Time)
<=> ( ( Event = push
& Fluent = backwards
& ~ happens(pull,Time) )
| ( Event = pull
& Fluent = forwards
& ~ happens(push,Time) )
| ( Event = pull
& Fluent = forwards
& happens(push,Time) )
| ( Event = pull
& Fluent = backwards
& happens(push,Time) )
| ( Event = push
& Fluent = spinning
& ~ happens(pull,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(plus0_1,axiom,
plus(n0,n1) = n1 ).
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(not_splinning_0,hypothesis,
~ holdsAt(spinning,n0) ).
fof(not_spinning_1,conjecture,
~ holdsAt(spinning,n1) ).
fof(definition_0,definition,
! [Event,Fluent,Time] :
( definitionFOFtoCNF_1(Event,Fluent,Time)
<=> ( ( Event != pull
| Fluent != backwards
| ~ happens(push,Time) )
& ( Event != pull
| Fluent != forwards
| ~ happens(push,Time) )
& ( Event != pull
| Fluent != forwards
| happens(push,Time) ) ) ) ).
fof(definition_1,definition,
! [Event,Fluent,Time] :
( definitionFOFtoCNF_2(Event,Fluent,Time)
<=> ( Event != pull
| Fluent != backwards
| ~ happens(push,Time) ) ) ).
fof(definition_2,definition,
! [Event,Fluent,Time] :
( definitionFOFtoCNF_3(Event,Fluent,Time)
<=> ( Event != pull
| Fluent != spinning
| happens(push,Time) ) ) ).
fof(definition_3,definition,
! [Event,Time] :
( definitionFOFtoCNF_4(Event,Time)
<=> ( Event != pull
| Time != n1 ) ) ).
fof(subgoal_0,plain,
~ holdsAt(spinning,n1),
inference(strip,[],[not_spinning_1]) ).
fof(negate_0_0,plain,
~ ~ holdsAt(spinning,n1),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
holdsAt(spinning,n1),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_1,plain,
! [X] :
( ~ less(X,n2)
<=> ~ less_or_equal(X,n1) ),
inference(canonicalize,[],[less2]) ).
fof(normalize_0_2,plain,
! [X] :
( ~ less(X,n2)
<=> ~ less_or_equal(X,n1) ),
inference(specialize,[],[normalize_0_1]) ).
fof(normalize_0_3,plain,
! [X] :
( ( ~ less(X,n2)
| less_or_equal(X,n1) )
& ( ~ less_or_equal(X,n1)
| less(X,n2) ) ),
inference(clausify,[],[normalize_0_2]) ).
fof(normalize_0_4,plain,
! [X] :
( ~ less_or_equal(X,n1)
| less(X,n2) ),
inference(conjunct,[],[normalize_0_3]) ).
fof(normalize_0_5,plain,
! [X,Y] :
( ~ less_or_equal(X,Y)
<=> ( X != Y
& ~ less(X,Y) ) ),
inference(canonicalize,[],[less_or_equal]) ).
fof(normalize_0_6,plain,
! [X,Y] :
( ~ less_or_equal(X,Y)
<=> ( X != Y
& ~ less(X,Y) ) ),
inference(specialize,[],[normalize_0_5]) ).
fof(normalize_0_7,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_6]) ).
fof(normalize_0_8,plain,
! [X,Y] :
( X != Y
| less_or_equal(X,Y) ),
inference(conjunct,[],[normalize_0_7]) ).
fof(normalize_0_9,plain,
! [X] :
( ~ less(X,n1)
<=> ~ less_or_equal(X,n0) ),
inference(canonicalize,[],[less1]) ).
fof(normalize_0_10,plain,
! [X] :
( ~ less(X,n1)
<=> ~ less_or_equal(X,n0) ),
inference(specialize,[],[normalize_0_9]) ).
fof(normalize_0_11,plain,
! [X] :
( ( ~ less(X,n1)
| less_or_equal(X,n0) )
& ( ~ less_or_equal(X,n0)
| less(X,n1) ) ),
inference(clausify,[],[normalize_0_10]) ).
fof(normalize_0_12,plain,
! [X] :
( ~ less_or_equal(X,n0)
| less(X,n1) ),
inference(conjunct,[],[normalize_0_11]) ).
fof(normalize_0_13,plain,
! [X,Y] :
( ~ less(X,Y)
| less_or_equal(X,Y) ),
inference(conjunct,[],[normalize_0_7]) ).
fof(normalize_0_14,plain,
! [Event,Time] :
( ~ definitionFOFtoCNF_4(Event,Time)
<=> ( Event = pull
& Time = n1 ) ),
inference(canonicalize,[],[definition_3]) ).
fof(normalize_0_15,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_14]) ).
fof(normalize_0_16,plain,
! [Event,Time] :
( Time = n1
| definitionFOFtoCNF_4(Event,Time) ),
inference(conjunct,[],[normalize_0_15]) ).
fof(normalize_0_17,plain,
! [Event,Fluent,Time] :
( ~ terminates(Event,Fluent,Time)
<=> ( ( Event != pull
| Fluent != backwards
| ~ happens(push,Time) )
& ( Event != pull
| Fluent != forwards
| ~ happens(push,Time) )
& ( Event != pull
| Fluent != forwards
| happens(push,Time) )
& ( Event != pull
| Fluent != spinning
| happens(push,Time) )
& ( Event != push
| Fluent != backwards
| happens(pull,Time) )
& ( Event != push
| Fluent != spinning
| happens(pull,Time) ) ) ),
inference(canonicalize,[],[terminates_all_defn]) ).
fof(normalize_0_18,plain,
! [Event,Fluent,Time] :
( ~ terminates(Event,Fluent,Time)
<=> ( ( Event != pull
| Fluent != backwards
| ~ happens(push,Time) )
& ( Event != pull
| Fluent != forwards
| ~ happens(push,Time) )
& ( Event != pull
| Fluent != forwards
| happens(push,Time) )
& ( Event != pull
| Fluent != spinning
| happens(push,Time) )
& ( Event != push
| Fluent != backwards
| happens(pull,Time) )
& ( Event != push
| Fluent != spinning
| happens(pull,Time) ) ) ),
inference(specialize,[],[normalize_0_17]) ).
fof(normalize_0_19,plain,
! [Event,Fluent,Time] :
( ~ definitionFOFtoCNF_1(Event,Fluent,Time)
<=> ( ( ~ happens(push,Time)
& Event = pull
& Fluent = forwards )
| ( Event = pull
& Fluent = backwards
& happens(push,Time) )
| ( Event = pull
& Fluent = forwards
& happens(push,Time) ) ) ),
inference(canonicalize,[],[definition_0]) ).
fof(normalize_0_20,plain,
! [Event,Fluent,Time] :
( ~ definitionFOFtoCNF_2(Event,Fluent,Time)
<=> ( Event = pull
& Fluent = backwards
& happens(push,Time) ) ),
inference(canonicalize,[],[definition_1]) ).
fof(normalize_0_21,plain,
! [Event,Fluent,Time] :
( ~ definitionFOFtoCNF_1(Event,Fluent,Time)
<=> ( ~ definitionFOFtoCNF_2(Event,Fluent,Time)
| ( ~ happens(push,Time)
& Event = pull
& Fluent = forwards )
| ( Event = pull
& Fluent = forwards
& happens(push,Time) ) ) ),
inference(simplify,[],[normalize_0_19,normalize_0_20]) ).
fof(normalize_0_22,plain,
! [Event,Fluent,Time] :
( ~ terminates(Event,Fluent,Time)
<=> ( definitionFOFtoCNF_1(Event,Fluent,Time)
& ( Event != pull
| Fluent != spinning
| happens(push,Time) )
& ( Event != push
| Fluent != backwards
| happens(pull,Time) )
& ( Event != push
| Fluent != spinning
| happens(pull,Time) ) ) ),
inference(simplify,[],[normalize_0_18,normalize_0_21,normalize_0_20]) ).
fof(normalize_0_23,plain,
! [Event,Fluent,Time] :
( ~ definitionFOFtoCNF_3(Event,Fluent,Time)
<=> ( ~ happens(push,Time)
& Event = pull
& Fluent = spinning ) ),
inference(canonicalize,[],[definition_2]) ).
fof(normalize_0_24,plain,
! [Event,Fluent,Time] :
( ~ terminates(Event,Fluent,Time)
<=> ( definitionFOFtoCNF_1(Event,Fluent,Time)
& definitionFOFtoCNF_3(Event,Fluent,Time)
& ( Event != push
| Fluent != backwards
| happens(pull,Time) )
& ( Event != push
| Fluent != spinning
| happens(pull,Time) ) ) ),
inference(simplify,[],[normalize_0_22,normalize_0_23]) ).
fof(normalize_0_25,plain,
! [Event,Fluent,Time] :
( ( definitionFOFtoCNF_1(Event,Fluent,Time)
| terminates(Event,Fluent,Time) )
& ( definitionFOFtoCNF_3(Event,Fluent,Time)
| terminates(Event,Fluent,Time) )
& ( Event != push
| Fluent != backwards
| happens(pull,Time)
| terminates(Event,Fluent,Time) )
& ( Event != push
| Fluent != spinning
| happens(pull,Time)
| terminates(Event,Fluent,Time) )
& ( ~ definitionFOFtoCNF_1(Event,Fluent,Time)
| ~ definitionFOFtoCNF_3(Event,Fluent,Time)
| ~ happens(pull,Time)
| ~ terminates(Event,Fluent,Time) )
& ( ~ definitionFOFtoCNF_1(Event,Fluent,Time)
| ~ definitionFOFtoCNF_3(Event,Fluent,Time)
| ~ terminates(Event,Fluent,Time)
| Event = push )
& ( ~ definitionFOFtoCNF_1(Event,Fluent,Time)
| ~ definitionFOFtoCNF_3(Event,Fluent,Time)
| ~ happens(pull,Time)
| ~ terminates(Event,Fluent,Time)
| Event = push )
& ( ~ definitionFOFtoCNF_1(Event,Fluent,Time)
| ~ definitionFOFtoCNF_3(Event,Fluent,Time)
| ~ happens(pull,Time)
| ~ terminates(Event,Fluent,Time)
| Fluent = backwards )
& ( ~ definitionFOFtoCNF_1(Event,Fluent,Time)
| ~ definitionFOFtoCNF_3(Event,Fluent,Time)
| ~ happens(pull,Time)
| ~ terminates(Event,Fluent,Time)
| Fluent = spinning )
& ( ~ definitionFOFtoCNF_1(Event,Fluent,Time)
| ~ definitionFOFtoCNF_3(Event,Fluent,Time)
| ~ terminates(Event,Fluent,Time)
| Event = push
| Fluent = backwards )
& ( ~ definitionFOFtoCNF_1(Event,Fluent,Time)
| ~ definitionFOFtoCNF_3(Event,Fluent,Time)
| ~ terminates(Event,Fluent,Time)
| Event = push
| Fluent = spinning )
& ( ~ definitionFOFtoCNF_1(Event,Fluent,Time)
| ~ definitionFOFtoCNF_3(Event,Fluent,Time)
| ~ terminates(Event,Fluent,Time)
| Fluent = backwards
| Fluent = spinning ) ),
inference(clausify,[],[normalize_0_24]) ).
fof(normalize_0_26,plain,
! [Event,Fluent,Time] :
( Event != push
| Fluent != spinning
| happens(pull,Time)
| terminates(Event,Fluent,Time) ),
inference(conjunct,[],[normalize_0_25]) ).
fof(normalize_0_27,plain,
! [Event,Fluent,Time] :
( ~ happens(Event,Time)
| ~ holdsAt(Fluent,plus(Time,n1))
| ~ terminates(Event,Fluent,Time) ),
inference(canonicalize,[],[happens_terminates_not_holds]) ).
fof(normalize_0_28,plain,
! [Event,Fluent,Time] :
( ~ happens(Event,Time)
| ~ holdsAt(Fluent,plus(Time,n1))
| ~ terminates(Event,Fluent,Time) ),
inference(specialize,[],[normalize_0_27]) ).
fof(normalize_0_29,plain,
plus(n0,n1) = n1,
inference(canonicalize,[],[plus0_1]) ).
fof(normalize_0_30,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_31,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_30]) ).
fof(normalize_0_32,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_31,normalize_0_14]) ).
fof(normalize_0_33,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_32]) ).
fof(normalize_0_34,plain,
! [Event,Time] :
( Event != push
| Time != n0
| happens(Event,Time) ),
inference(conjunct,[],[normalize_0_33]) ).
fof(normalize_0_35,plain,
! [Event,Time] :
( ~ definitionFOFtoCNF_4(Event,Time)
| ~ happens(Event,Time)
| Event = push
| Time = n2 ),
inference(conjunct,[],[normalize_0_33]) ).
fof(normalize_0_36,plain,
push != pull,
inference(canonicalize,[],[push_not_pull]) ).
fof(normalize_0_37,plain,
! [X,Y] :
( ~ less(X,Y)
<=> ( Y = X
| less(Y,X) ) ),
inference(canonicalize,[],[less_property]) ).
fof(normalize_0_38,plain,
! [X,Y] :
( ~ less(X,Y)
<=> ( Y = X
| less(Y,X) ) ),
inference(specialize,[],[normalize_0_37]) ).
fof(normalize_0_39,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_38]) ).
fof(normalize_0_40,plain,
! [X,Y] :
( Y != X
| ~ less(X,Y) ),
inference(conjunct,[],[normalize_0_39]) ).
fof(normalize_0_41,plain,
~ holdsAt(spinning,n0),
inference(canonicalize,[],[not_splinning_0]) ).
cnf(refute_0_0,plain,
holdsAt(spinning,n1),
inference(canonicalize,[],[normalize_0_0]) ).
cnf(refute_0_1,plain,
( ~ less_or_equal(X,n1)
| less(X,n2) ),
inference(canonicalize,[],[normalize_0_4]) ).
cnf(refute_0_2,plain,
( ~ less_or_equal(n0,n1)
| less(n0,n2) ),
inference(subst,[],[refute_0_1:[bind(X,$fot(n0))]]) ).
cnf(refute_0_3,plain,
( X != Y
| less_or_equal(X,Y) ),
inference(canonicalize,[],[normalize_0_8]) ).
cnf(refute_0_4,plain,
( Y != Y
| less_or_equal(Y,Y) ),
inference(subst,[],[refute_0_3:[bind(X,$fot(Y))]]) ).
cnf(refute_0_5,plain,
Y = Y,
introduced(tautology,[refl,[$fot(Y)]]) ).
cnf(refute_0_6,plain,
less_or_equal(Y,Y),
inference(resolve,[$cnf( $equal(Y,Y) )],[refute_0_5,refute_0_4]) ).
cnf(refute_0_7,plain,
less_or_equal(n0,n0),
inference(subst,[],[refute_0_6:[bind(Y,$fot(n0))]]) ).
cnf(refute_0_8,plain,
( ~ less_or_equal(X,n0)
| less(X,n1) ),
inference(canonicalize,[],[normalize_0_12]) ).
cnf(refute_0_9,plain,
( ~ less_or_equal(n0,n0)
| less(n0,n1) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(n0))]]) ).
cnf(refute_0_10,plain,
less(n0,n1),
inference(resolve,[$cnf( less_or_equal(n0,n0) )],[refute_0_7,refute_0_9]) ).
cnf(refute_0_11,plain,
( ~ less(X,Y)
| less_or_equal(X,Y) ),
inference(canonicalize,[],[normalize_0_13]) ).
cnf(refute_0_12,plain,
( ~ less(n0,n1)
| less_or_equal(n0,n1) ),
inference(subst,[],[refute_0_11:[bind(X,$fot(n0)),bind(Y,$fot(n1))]]) ).
cnf(refute_0_13,plain,
less_or_equal(n0,n1),
inference(resolve,[$cnf( less(n0,n1) )],[refute_0_10,refute_0_12]) ).
cnf(refute_0_14,plain,
less(n0,n2),
inference(resolve,[$cnf( less_or_equal(n0,n1) )],[refute_0_13,refute_0_2]) ).
cnf(refute_0_15,plain,
( Time = n1
| definitionFOFtoCNF_4(Event,Time) ),
inference(canonicalize,[],[normalize_0_16]) ).
cnf(refute_0_16,plain,
( n0 = n1
| definitionFOFtoCNF_4(pull,n0) ),
inference(subst,[],[refute_0_15:[bind(Event,$fot(pull)),bind(Time,$fot(n0))]]) ).
cnf(refute_0_17,plain,
( Event != push
| Fluent != spinning
| happens(pull,Time)
| terminates(Event,Fluent,Time) ),
inference(canonicalize,[],[normalize_0_26]) ).
cnf(refute_0_18,plain,
( push != push
| spinning != spinning
| happens(pull,Time)
| terminates(push,spinning,Time) ),
inference(subst,[],[refute_0_17:[bind(Event,$fot(push)),bind(Fluent,$fot(spinning))]]) ).
cnf(refute_0_19,plain,
push = push,
introduced(tautology,[refl,[$fot(push)]]) ).
cnf(refute_0_20,plain,
( spinning != spinning
| happens(pull,Time)
| terminates(push,spinning,Time) ),
inference(resolve,[$cnf( $equal(push,push) )],[refute_0_19,refute_0_18]) ).
cnf(refute_0_21,plain,
spinning = spinning,
introduced(tautology,[refl,[$fot(spinning)]]) ).
cnf(refute_0_22,plain,
( happens(pull,Time)
| terminates(push,spinning,Time) ),
inference(resolve,[$cnf( $equal(spinning,spinning) )],[refute_0_21,refute_0_20]) ).
cnf(refute_0_23,plain,
( happens(pull,n0)
| terminates(push,spinning,n0) ),
inference(subst,[],[refute_0_22:[bind(Time,$fot(n0))]]) ).
cnf(refute_0_24,plain,
( ~ happens(Event,Time)
| ~ holdsAt(Fluent,plus(Time,n1))
| ~ terminates(Event,Fluent,Time) ),
inference(canonicalize,[],[normalize_0_28]) ).
cnf(refute_0_25,plain,
( ~ happens(X_273,n0)
| ~ holdsAt(X_274,plus(n0,n1))
| ~ terminates(X_273,X_274,n0) ),
inference(subst,[],[refute_0_24:[bind(Event,$fot(X_273)),bind(Fluent,$fot(X_274)),bind(Time,$fot(n0))]]) ).
cnf(refute_0_26,plain,
plus(n0,n1) = n1,
inference(canonicalize,[],[normalize_0_29]) ).
cnf(refute_0_27,plain,
( plus(n0,n1) != n1
| ~ holdsAt(X_274,n1)
| holdsAt(X_274,plus(n0,n1)) ),
introduced(tautology,[equality,[$cnf( ~ holdsAt(X_274,plus(n0,n1)) ),[1],$fot(n1)]]) ).
cnf(refute_0_28,plain,
( ~ holdsAt(X_274,n1)
| holdsAt(X_274,plus(n0,n1)) ),
inference(resolve,[$cnf( $equal(plus(n0,n1),n1) )],[refute_0_26,refute_0_27]) ).
cnf(refute_0_29,plain,
( ~ happens(X_273,n0)
| ~ holdsAt(X_274,n1)
| ~ terminates(X_273,X_274,n0) ),
inference(resolve,[$cnf( holdsAt(X_274,plus(n0,n1)) )],[refute_0_28,refute_0_25]) ).
cnf(refute_0_30,plain,
( ~ happens(push,n0)
| ~ holdsAt(spinning,n1)
| ~ terminates(push,spinning,n0) ),
inference(subst,[],[refute_0_29:[bind(X_273,$fot(push)),bind(X_274,$fot(spinning))]]) ).
cnf(refute_0_31,plain,
( ~ happens(push,n0)
| ~ holdsAt(spinning,n1)
| happens(pull,n0) ),
inference(resolve,[$cnf( terminates(push,spinning,n0) )],[refute_0_23,refute_0_30]) ).
cnf(refute_0_32,plain,
( Event != push
| Time != n0
| happens(Event,Time) ),
inference(canonicalize,[],[normalize_0_34]) ).
cnf(refute_0_33,plain,
( n0 != n0
| push != push
| happens(push,n0) ),
inference(subst,[],[refute_0_32:[bind(Event,$fot(push)),bind(Time,$fot(n0))]]) ).
cnf(refute_0_34,plain,
n0 = n0,
introduced(tautology,[refl,[$fot(n0)]]) ).
cnf(refute_0_35,plain,
( push != push
| happens(push,n0) ),
inference(resolve,[$cnf( $equal(n0,n0) )],[refute_0_34,refute_0_33]) ).
cnf(refute_0_36,plain,
happens(push,n0),
inference(resolve,[$cnf( $equal(push,push) )],[refute_0_19,refute_0_35]) ).
cnf(refute_0_37,plain,
( ~ holdsAt(spinning,n1)
| happens(pull,n0) ),
inference(resolve,[$cnf( happens(push,n0) )],[refute_0_36,refute_0_31]) ).
cnf(refute_0_38,plain,
happens(pull,n0),
inference(resolve,[$cnf( holdsAt(spinning,n1) )],[refute_0_0,refute_0_37]) ).
cnf(refute_0_39,plain,
( ~ definitionFOFtoCNF_4(Event,Time)
| ~ happens(Event,Time)
| Event = push
| Time = n2 ),
inference(canonicalize,[],[normalize_0_35]) ).
cnf(refute_0_40,plain,
( ~ definitionFOFtoCNF_4(pull,n0)
| ~ happens(pull,n0)
| n0 = n2
| pull = push ),
inference(subst,[],[refute_0_39:[bind(Event,$fot(pull)),bind(Time,$fot(n0))]]) ).
cnf(refute_0_41,plain,
( ~ definitionFOFtoCNF_4(pull,n0)
| n0 = n2
| pull = push ),
inference(resolve,[$cnf( happens(pull,n0) )],[refute_0_38,refute_0_40]) ).
cnf(refute_0_42,plain,
push != pull,
inference(canonicalize,[],[normalize_0_36]) ).
cnf(refute_0_43,plain,
X0 = X0,
introduced(tautology,[refl,[$fot(X0)]]) ).
cnf(refute_0_44,plain,
( X0 != X0
| X0 != Y0
| Y0 = X0 ),
introduced(tautology,[equality,[$cnf( $equal(X0,X0) ),[0],$fot(Y0)]]) ).
cnf(refute_0_45,plain,
( X0 != Y0
| Y0 = X0 ),
inference(resolve,[$cnf( $equal(X0,X0) )],[refute_0_43,refute_0_44]) ).
cnf(refute_0_46,plain,
( pull != push
| push = pull ),
inference(subst,[],[refute_0_45:[bind(X0,$fot(pull)),bind(Y0,$fot(push))]]) ).
cnf(refute_0_47,plain,
pull != push,
inference(resolve,[$cnf( $equal(push,pull) )],[refute_0_46,refute_0_42]) ).
cnf(refute_0_48,plain,
( ~ definitionFOFtoCNF_4(pull,n0)
| n0 = n2 ),
inference(resolve,[$cnf( $equal(pull,push) )],[refute_0_41,refute_0_47]) ).
cnf(refute_0_49,plain,
( n0 = n1
| n0 = n2 ),
inference(resolve,[$cnf( definitionFOFtoCNF_4(pull,n0) )],[refute_0_16,refute_0_48]) ).
cnf(refute_0_50,plain,
( n0 != n2
| n2 = n0 ),
inference(subst,[],[refute_0_45:[bind(X0,$fot(n0)),bind(Y0,$fot(n2))]]) ).
cnf(refute_0_51,plain,
( n0 = n1
| n2 = n0 ),
inference(resolve,[$cnf( $equal(n0,n2) )],[refute_0_49,refute_0_50]) ).
cnf(refute_0_52,plain,
( n2 != n0
| ~ less(n0,n2)
| less(n0,n0) ),
introduced(tautology,[equality,[$cnf( less(n0,n2) ),[1],$fot(n0)]]) ).
cnf(refute_0_53,plain,
( ~ less(n0,n2)
| n0 = n1
| less(n0,n0) ),
inference(resolve,[$cnf( $equal(n2,n0) )],[refute_0_51,refute_0_52]) ).
cnf(refute_0_54,plain,
( n0 = n1
| less(n0,n0) ),
inference(resolve,[$cnf( less(n0,n2) )],[refute_0_14,refute_0_53]) ).
cnf(refute_0_55,plain,
( Y != X
| ~ less(X,Y) ),
inference(canonicalize,[],[normalize_0_40]) ).
cnf(refute_0_56,plain,
( X != X
| ~ less(X,X) ),
inference(subst,[],[refute_0_55:[bind(Y,$fot(X))]]) ).
cnf(refute_0_57,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_0_58,plain,
~ less(X,X),
inference(resolve,[$cnf( $equal(X,X) )],[refute_0_57,refute_0_56]) ).
cnf(refute_0_59,plain,
~ less(n0,n0),
inference(subst,[],[refute_0_58:[bind(X,$fot(n0))]]) ).
cnf(refute_0_60,plain,
n0 = n1,
inference(resolve,[$cnf( less(n0,n0) )],[refute_0_54,refute_0_59]) ).
cnf(refute_0_61,plain,
( n0 != n1
| n1 = n0 ),
inference(subst,[],[refute_0_45:[bind(X0,$fot(n0)),bind(Y0,$fot(n1))]]) ).
cnf(refute_0_62,plain,
n1 = n0,
inference(resolve,[$cnf( $equal(n0,n1) )],[refute_0_60,refute_0_61]) ).
cnf(refute_0_63,plain,
( n1 != n0
| ~ holdsAt(spinning,n1)
| holdsAt(spinning,n0) ),
introduced(tautology,[equality,[$cnf( holdsAt(spinning,n1) ),[1],$fot(n0)]]) ).
cnf(refute_0_64,plain,
( ~ holdsAt(spinning,n1)
| holdsAt(spinning,n0) ),
inference(resolve,[$cnf( $equal(n1,n0) )],[refute_0_62,refute_0_63]) ).
cnf(refute_0_65,plain,
holdsAt(spinning,n0),
inference(resolve,[$cnf( holdsAt(spinning,n1) )],[refute_0_0,refute_0_64]) ).
cnf(refute_0_66,plain,
~ holdsAt(spinning,n0),
inference(canonicalize,[],[normalize_0_41]) ).
cnf(refute_0_67,plain,
$false,
inference(resolve,[$cnf( holdsAt(spinning,n0) )],[refute_0_65,refute_0_66]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : CSR017+1 : TPTP v8.1.0. Bugfixed v3.1.0.
% 0.07/0.13 % Command : metis --show proof --show saturation %s
% 0.14/0.34 % Computer : n022.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Fri Jun 10 05:04:34 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.14/0.35 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.20/0.52 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.52
% 0.20/0.52 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.20/0.53
%------------------------------------------------------------------------------