%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : CSR021+1 : TPTP v8.1.0. Bugfixed v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n017.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 0.57s 0.72s
% Output : CNFRefutation 0.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 18
% Syntax : Number of formulae : 87 ( 25 unt; 4 def)
% Number of atoms : 433 ( 202 equ)
% Maximal formula atoms : 50 ( 4 avg)
% Number of connectives : 596 ( 250 ~; 235 |; 92 &)
% ( 18 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 10 ( 7 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 9 con; 0-2 aty)
% Number of variables : 140 ( 0 sgn 87 !; 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(plus1_2,axiom,
plus(n1,n2) = n3 ).
fof(symmetry_of_plus,axiom,
! [X,Y] : plus(X,Y) = plus(Y,X) ).
fof(not_backwards_3,conjecture,
~ holdsAt(backwards,n3) ).
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(backwards,n3),
inference(strip,[],[not_backwards_3]) ).
fof(negate_0_0,plain,
~ ~ holdsAt(backwards,n3),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
! [Event,Fluent,Time] :
( ~ definitionFOFtoCNF_2(Event,Fluent,Time)
<=> ( Event = pull
& Fluent = backwards
& happens(push,Time) ) ),
inference(canonicalize,[],[definition_1]) ).
fof(normalize_0_1,plain,
! [Event,Fluent,Time] :
( ( Event = pull
| definitionFOFtoCNF_2(Event,Fluent,Time) )
& ( Fluent = backwards
| definitionFOFtoCNF_2(Event,Fluent,Time) )
& ( definitionFOFtoCNF_2(Event,Fluent,Time)
| happens(push,Time) )
& ( Event != pull
| Fluent != backwards
| ~ definitionFOFtoCNF_2(Event,Fluent,Time)
| ~ happens(push,Time) ) ),
inference(clausify,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
! [Event,Fluent,Time] :
( Event != pull
| Fluent != backwards
| ~ definitionFOFtoCNF_2(Event,Fluent,Time)
| ~ happens(push,Time) ),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_3,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_4,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_3,normalize_0_0]) ).
fof(normalize_0_5,plain,
! [Event,Fluent,Time] :
( ( ~ definitionFOFtoCNF_1(Event,Fluent,Time)
| definitionFOFtoCNF_2(Event,Fluent,Time) )
& ( ~ definitionFOFtoCNF_2(Event,Fluent,Time)
| Event = pull
| definitionFOFtoCNF_1(Event,Fluent,Time) )
& ( ~ definitionFOFtoCNF_2(Event,Fluent,Time)
| Fluent = forwards
| definitionFOFtoCNF_1(Event,Fluent,Time) )
& ( Event != pull
| Fluent != forwards
| ~ definitionFOFtoCNF_1(Event,Fluent,Time)
| ~ happens(push,Time) )
& ( Event != pull
| Fluent != forwards
| ~ definitionFOFtoCNF_1(Event,Fluent,Time)
| happens(push,Time) )
& ( ~ definitionFOFtoCNF_2(Event,Fluent,Time)
| ~ happens(push,Time)
| Event = pull
| definitionFOFtoCNF_1(Event,Fluent,Time) )
& ( ~ definitionFOFtoCNF_2(Event,Fluent,Time)
| ~ happens(push,Time)
| Fluent = forwards
| definitionFOFtoCNF_1(Event,Fluent,Time) )
& ( ~ definitionFOFtoCNF_2(Event,Fluent,Time)
| Event = pull
| Fluent = forwards
| definitionFOFtoCNF_1(Event,Fluent,Time) )
& ( ~ definitionFOFtoCNF_2(Event,Fluent,Time)
| Event = pull
| definitionFOFtoCNF_1(Event,Fluent,Time)
| happens(push,Time) )
& ( ~ definitionFOFtoCNF_2(Event,Fluent,Time)
| Fluent = forwards
| definitionFOFtoCNF_1(Event,Fluent,Time)
| happens(push,Time) ) ),
inference(clausify,[],[normalize_0_4]) ).
fof(normalize_0_6,plain,
! [Event,Fluent,Time] :
( ~ definitionFOFtoCNF_1(Event,Fluent,Time)
| definitionFOFtoCNF_2(Event,Fluent,Time) ),
inference(conjunct,[],[normalize_0_5]) ).
fof(normalize_0_7,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_8,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_7]) ).
fof(normalize_0_9,plain,
! [Event,Time] :
( ~ definitionFOFtoCNF_4(Event,Time)
<=> ( Event = pull
& Time = n1 ) ),
inference(canonicalize,[],[definition_3]) ).
fof(normalize_0_10,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_8,normalize_0_9]) ).
fof(normalize_0_11,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_10]) ).
fof(normalize_0_12,plain,
! [Event,Time] :
( Event != pull
| Time != n2
| happens(Event,Time) ),
inference(conjunct,[],[normalize_0_11]) ).
fof(normalize_0_13,plain,
holdsAt(backwards,n3),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_14,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_15,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_14]) ).
fof(normalize_0_16,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_15,normalize_0_4,normalize_0_0]) ).
fof(normalize_0_17,plain,
! [Event,Fluent,Time] :
( ~ definitionFOFtoCNF_3(Event,Fluent,Time)
<=> ( ~ happens(push,Time)
& Event = pull
& Fluent = spinning ) ),
inference(canonicalize,[],[definition_2]) ).
fof(normalize_0_18,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_16,normalize_0_17]) ).
fof(normalize_0_19,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_18]) ).
fof(normalize_0_20,plain,
! [Event,Fluent,Time] :
( definitionFOFtoCNF_1(Event,Fluent,Time)
| terminates(Event,Fluent,Time) ),
inference(conjunct,[],[normalize_0_19]) ).
fof(normalize_0_21,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_22,plain,
! [Event,Fluent,Time] :
( ~ happens(Event,Time)
| ~ holdsAt(Fluent,plus(Time,n1))
| ~ terminates(Event,Fluent,Time) ),
inference(specialize,[],[normalize_0_21]) ).
fof(normalize_0_23,plain,
! [X,Y] : plus(X,Y) = plus(Y,X),
inference(canonicalize,[],[symmetry_of_plus]) ).
fof(normalize_0_24,plain,
! [X,Y] : plus(X,Y) = plus(Y,X),
inference(specialize,[],[normalize_0_23]) ).
fof(normalize_0_25,plain,
plus(n1,n2) = n3,
inference(canonicalize,[],[plus1_2]) ).
fof(normalize_0_26,plain,
! [Event,Time] :
( Event != push
| Time != n2
| happens(Event,Time) ),
inference(conjunct,[],[normalize_0_11]) ).
cnf(refute_0_0,plain,
( Event != pull
| Fluent != backwards
| ~ definitionFOFtoCNF_2(Event,Fluent,Time)
| ~ happens(push,Time) ),
inference(canonicalize,[],[normalize_0_2]) ).
cnf(refute_0_1,plain,
( backwards != backwards
| pull != pull
| ~ definitionFOFtoCNF_2(pull,backwards,Time)
| ~ happens(push,Time) ),
inference(subst,[],[refute_0_0:[bind(Event,$fot(pull)),bind(Fluent,$fot(backwards))]]) ).
cnf(refute_0_2,plain,
backwards = backwards,
introduced(tautology,[refl,[$fot(backwards)]]) ).
cnf(refute_0_3,plain,
( pull != pull
| ~ definitionFOFtoCNF_2(pull,backwards,Time)
| ~ happens(push,Time) ),
inference(resolve,[$cnf( $equal(backwards,backwards) )],[refute_0_2,refute_0_1]) ).
cnf(refute_0_4,plain,
pull = pull,
introduced(tautology,[refl,[$fot(pull)]]) ).
cnf(refute_0_5,plain,
( ~ definitionFOFtoCNF_2(pull,backwards,Time)
| ~ happens(push,Time) ),
inference(resolve,[$cnf( $equal(pull,pull) )],[refute_0_4,refute_0_3]) ).
cnf(refute_0_6,plain,
( ~ definitionFOFtoCNF_2(pull,backwards,n2)
| ~ happens(push,n2) ),
inference(subst,[],[refute_0_5:[bind(Time,$fot(n2))]]) ).
cnf(refute_0_7,plain,
( ~ definitionFOFtoCNF_1(Event,Fluent,Time)
| definitionFOFtoCNF_2(Event,Fluent,Time) ),
inference(canonicalize,[],[normalize_0_6]) ).
cnf(refute_0_8,plain,
( ~ definitionFOFtoCNF_1(pull,backwards,n2)
| definitionFOFtoCNF_2(pull,backwards,n2) ),
inference(subst,[],[refute_0_7:[bind(Event,$fot(pull)),bind(Fluent,$fot(backwards)),bind(Time,$fot(n2))]]) ).
cnf(refute_0_9,plain,
( Event != pull
| Time != n2
| happens(Event,Time) ),
inference(canonicalize,[],[normalize_0_12]) ).
cnf(refute_0_10,plain,
( n2 != n2
| pull != pull
| happens(pull,n2) ),
inference(subst,[],[refute_0_9:[bind(Event,$fot(pull)),bind(Time,$fot(n2))]]) ).
cnf(refute_0_11,plain,
n2 = n2,
introduced(tautology,[refl,[$fot(n2)]]) ).
cnf(refute_0_12,plain,
( pull != pull
| happens(pull,n2) ),
inference(resolve,[$cnf( $equal(n2,n2) )],[refute_0_11,refute_0_10]) ).
cnf(refute_0_13,plain,
happens(pull,n2),
inference(resolve,[$cnf( $equal(pull,pull) )],[refute_0_4,refute_0_12]) ).
cnf(refute_0_14,plain,
holdsAt(backwards,n3),
inference(canonicalize,[],[normalize_0_13]) ).
cnf(refute_0_15,plain,
( definitionFOFtoCNF_1(Event,Fluent,Time)
| terminates(Event,Fluent,Time) ),
inference(canonicalize,[],[normalize_0_20]) ).
cnf(refute_0_16,plain,
( definitionFOFtoCNF_1(X_450,X_451,n2)
| terminates(X_450,X_451,n2) ),
inference(subst,[],[refute_0_15:[bind(Event,$fot(X_450)),bind(Fluent,$fot(X_451)),bind(Time,$fot(n2))]]) ).
cnf(refute_0_17,plain,
( ~ happens(Event,Time)
| ~ holdsAt(Fluent,plus(Time,n1))
| ~ terminates(Event,Fluent,Time) ),
inference(canonicalize,[],[normalize_0_22]) ).
cnf(refute_0_18,plain,
( ~ happens(X_273,X_275)
| ~ holdsAt(X_274,plus(X_275,n1))
| ~ terminates(X_273,X_274,X_275) ),
inference(subst,[],[refute_0_17:[bind(Event,$fot(X_273)),bind(Fluent,$fot(X_274)),bind(Time,$fot(X_275))]]) ).
cnf(refute_0_19,plain,
plus(X,Y) = plus(Y,X),
inference(canonicalize,[],[normalize_0_24]) ).
cnf(refute_0_20,plain,
plus(n1,X_275) = plus(X_275,n1),
inference(subst,[],[refute_0_19:[bind(X,$fot(n1)),bind(Y,$fot(X_275))]]) ).
cnf(refute_0_21,plain,
X0 = X0,
introduced(tautology,[refl,[$fot(X0)]]) ).
cnf(refute_0_22,plain,
( X0 != X0
| X0 != Y0
| Y0 = X0 ),
introduced(tautology,[equality,[$cnf( $equal(X0,X0) ),[0],$fot(Y0)]]) ).
cnf(refute_0_23,plain,
( X0 != Y0
| Y0 = X0 ),
inference(resolve,[$cnf( $equal(X0,X0) )],[refute_0_21,refute_0_22]) ).
cnf(refute_0_24,plain,
( plus(n1,X_275) != plus(X_275,n1)
| plus(X_275,n1) = plus(n1,X_275) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(plus(n1,X_275))),bind(Y0,$fot(plus(X_275,n1)))]]) ).
cnf(refute_0_25,plain,
plus(X_275,n1) = plus(n1,X_275),
inference(resolve,[$cnf( $equal(plus(n1,X_275),plus(X_275,n1)) )],[refute_0_20,refute_0_24]) ).
cnf(refute_0_26,plain,
( plus(X_275,n1) != plus(n1,X_275)
| ~ holdsAt(X_274,plus(n1,X_275))
| holdsAt(X_274,plus(X_275,n1)) ),
introduced(tautology,[equality,[$cnf( ~ holdsAt(X_274,plus(X_275,n1)) ),[1],$fot(plus(n1,X_275))]]) ).
cnf(refute_0_27,plain,
( ~ holdsAt(X_274,plus(n1,X_275))
| holdsAt(X_274,plus(X_275,n1)) ),
inference(resolve,[$cnf( $equal(plus(X_275,n1),plus(n1,X_275)) )],[refute_0_25,refute_0_26]) ).
cnf(refute_0_28,plain,
( ~ happens(X_273,X_275)
| ~ holdsAt(X_274,plus(n1,X_275))
| ~ terminates(X_273,X_274,X_275) ),
inference(resolve,[$cnf( holdsAt(X_274,plus(X_275,n1)) )],[refute_0_27,refute_0_18]) ).
cnf(refute_0_29,plain,
( ~ happens(X_447,n2)
| ~ holdsAt(X_448,plus(n1,n2))
| ~ terminates(X_447,X_448,n2) ),
inference(subst,[],[refute_0_28:[bind(X_273,$fot(X_447)),bind(X_274,$fot(X_448)),bind(X_275,$fot(n2))]]) ).
cnf(refute_0_30,plain,
plus(n1,n2) = n3,
inference(canonicalize,[],[normalize_0_25]) ).
cnf(refute_0_31,plain,
( plus(n1,n2) != n3
| ~ holdsAt(X_448,n3)
| holdsAt(X_448,plus(n1,n2)) ),
introduced(tautology,[equality,[$cnf( ~ holdsAt(X_448,plus(n1,n2)) ),[1],$fot(n3)]]) ).
cnf(refute_0_32,plain,
( ~ holdsAt(X_448,n3)
| holdsAt(X_448,plus(n1,n2)) ),
inference(resolve,[$cnf( $equal(plus(n1,n2),n3) )],[refute_0_30,refute_0_31]) ).
cnf(refute_0_33,plain,
( ~ happens(X_447,n2)
| ~ holdsAt(X_448,n3)
| ~ terminates(X_447,X_448,n2) ),
inference(resolve,[$cnf( holdsAt(X_448,plus(n1,n2)) )],[refute_0_32,refute_0_29]) ).
cnf(refute_0_34,plain,
( ~ happens(X_450,n2)
| ~ holdsAt(X_451,n3)
| ~ terminates(X_450,X_451,n2) ),
inference(subst,[],[refute_0_33:[bind(X_447,$fot(X_450)),bind(X_448,$fot(X_451))]]) ).
cnf(refute_0_35,plain,
( ~ happens(X_450,n2)
| ~ holdsAt(X_451,n3)
| definitionFOFtoCNF_1(X_450,X_451,n2) ),
inference(resolve,[$cnf( terminates(X_450,X_451,n2) )],[refute_0_16,refute_0_34]) ).
cnf(refute_0_36,plain,
( ~ happens(X_454,n2)
| ~ holdsAt(backwards,n3)
| definitionFOFtoCNF_1(X_454,backwards,n2) ),
inference(subst,[],[refute_0_35:[bind(X_450,$fot(X_454)),bind(X_451,$fot(backwards))]]) ).
cnf(refute_0_37,plain,
( ~ happens(X_454,n2)
| definitionFOFtoCNF_1(X_454,backwards,n2) ),
inference(resolve,[$cnf( holdsAt(backwards,n3) )],[refute_0_14,refute_0_36]) ).
cnf(refute_0_38,plain,
( ~ happens(pull,n2)
| definitionFOFtoCNF_1(pull,backwards,n2) ),
inference(subst,[],[refute_0_37:[bind(X_454,$fot(pull))]]) ).
cnf(refute_0_39,plain,
definitionFOFtoCNF_1(pull,backwards,n2),
inference(resolve,[$cnf( happens(pull,n2) )],[refute_0_13,refute_0_38]) ).
cnf(refute_0_40,plain,
definitionFOFtoCNF_2(pull,backwards,n2),
inference(resolve,[$cnf( definitionFOFtoCNF_1(pull,backwards,n2) )],[refute_0_39,refute_0_8]) ).
cnf(refute_0_41,plain,
~ happens(push,n2),
inference(resolve,[$cnf( definitionFOFtoCNF_2(pull,backwards,n2) )],[refute_0_40,refute_0_6]) ).
cnf(refute_0_42,plain,
( Event != push
| Time != n2
| happens(Event,Time) ),
inference(canonicalize,[],[normalize_0_26]) ).
cnf(refute_0_43,plain,
( n2 != n2
| push != push
| happens(push,n2) ),
inference(subst,[],[refute_0_42:[bind(Event,$fot(push)),bind(Time,$fot(n2))]]) ).
cnf(refute_0_44,plain,
( push != push
| happens(push,n2) ),
inference(resolve,[$cnf( $equal(n2,n2) )],[refute_0_11,refute_0_43]) ).
cnf(refute_0_45,plain,
push = push,
introduced(tautology,[refl,[$fot(push)]]) ).
cnf(refute_0_46,plain,
happens(push,n2),
inference(resolve,[$cnf( $equal(push,push) )],[refute_0_45,refute_0_44]) ).
cnf(refute_0_47,plain,
$false,
inference(resolve,[$cnf( happens(push,n2) )],[refute_0_46,refute_0_41]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : CSR021+1 : TPTP v8.1.0. Bugfixed v3.1.0.
% 0.06/0.13 % Command : metis --show proof --show saturation %s
% 0.14/0.34 % Computer : n017.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 09:47:50 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.14/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.57/0.72 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.57/0.72
% 0.57/0.72 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.57/0.73
%------------------------------------------------------------------------------