TSTP Solution File: CSR015+1 by Metis---2.4
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%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : CSR015+1 : TPTP v8.1.0. Bugfixed v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n028.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 0.17s 0.44s
% Output : CNFRefutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 14
% Syntax : Number of formulae : 78 ( 18 unt; 4 def)
% Number of atoms : 424 ( 187 equ)
% Maximal formula atoms : 50 ( 5 avg)
% Number of connectives : 589 ( 243 ~; 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 : 9 ( 9 usr; 8 con; 0-2 aty)
% Number of variables : 119 ( 0 sgn 82 !; 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(plus0_1,axiom,
plus(n0,n1) = n1 ).
fof(not_backwards_1,conjecture,
~ holdsAt(backwards,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(backwards,n1),
inference(strip,[],[not_backwards_1]) ).
fof(negate_0_0,plain,
~ ~ holdsAt(backwards,n1),
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,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_8,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_7]) ).
fof(normalize_0_9,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_8,normalize_0_4,normalize_0_0]) ).
fof(normalize_0_10,plain,
! [Event,Fluent,Time] :
( ~ definitionFOFtoCNF_3(Event,Fluent,Time)
<=> ( ~ happens(push,Time)
& Event = pull
& Fluent = spinning ) ),
inference(canonicalize,[],[definition_2]) ).
fof(normalize_0_11,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_9,normalize_0_10]) ).
fof(normalize_0_12,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_11]) ).
fof(normalize_0_13,plain,
! [Event,Fluent,Time] :
( Event != push
| Fluent != backwards
| happens(pull,Time)
| terminates(Event,Fluent,Time) ),
inference(conjunct,[],[normalize_0_12]) ).
fof(normalize_0_14,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_15,plain,
! [Event,Fluent,Time] :
( ~ happens(Event,Time)
| ~ holdsAt(Fluent,plus(Time,n1))
| ~ terminates(Event,Fluent,Time) ),
inference(specialize,[],[normalize_0_14]) ).
fof(normalize_0_16,plain,
plus(n0,n1) = n1,
inference(canonicalize,[],[plus0_1]) ).
fof(normalize_0_17,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_18,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_17]) ).
fof(normalize_0_19,plain,
! [Event,Time] :
( ~ definitionFOFtoCNF_4(Event,Time)
<=> ( Event = pull
& Time = n1 ) ),
inference(canonicalize,[],[definition_3]) ).
fof(normalize_0_20,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_18,normalize_0_19]) ).
fof(normalize_0_21,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_20]) ).
fof(normalize_0_22,plain,
! [Event,Time] :
( Event != push
| Time != n0
| happens(Event,Time) ),
inference(conjunct,[],[normalize_0_21]) ).
fof(normalize_0_23,plain,
holdsAt(backwards,n1),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_24,plain,
! [Event,Fluent,Time] :
( definitionFOFtoCNF_1(Event,Fluent,Time)
| terminates(Event,Fluent,Time) ),
inference(conjunct,[],[normalize_0_12]) ).
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( $equal(pull,pull) )],[refute_0_4,refute_0_3]) ).
cnf(refute_0_6,plain,
( ~ definitionFOFtoCNF_2(pull,backwards,n0)
| ~ happens(push,n0) ),
inference(subst,[],[refute_0_5:[bind(Time,$fot(n0))]]) ).
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,n0)
| definitionFOFtoCNF_2(pull,backwards,n0) ),
inference(subst,[],[refute_0_7:[bind(Event,$fot(pull)),bind(Fluent,$fot(backwards)),bind(Time,$fot(n0))]]) ).
cnf(refute_0_9,plain,
( Event != push
| Fluent != backwards
| happens(pull,Time)
| terminates(Event,Fluent,Time) ),
inference(canonicalize,[],[normalize_0_13]) ).
cnf(refute_0_10,plain,
( backwards != backwards
| push != push
| happens(pull,Time)
| terminates(push,backwards,Time) ),
inference(subst,[],[refute_0_9:[bind(Event,$fot(push)),bind(Fluent,$fot(backwards))]]) ).
cnf(refute_0_11,plain,
( push != push
| happens(pull,Time)
| terminates(push,backwards,Time) ),
inference(resolve,[$cnf( $equal(backwards,backwards) )],[refute_0_2,refute_0_10]) ).
cnf(refute_0_12,plain,
push = push,
introduced(tautology,[refl,[$fot(push)]]) ).
cnf(refute_0_13,plain,
( happens(pull,Time)
| terminates(push,backwards,Time) ),
inference(resolve,[$cnf( $equal(push,push) )],[refute_0_12,refute_0_11]) ).
cnf(refute_0_14,plain,
( happens(pull,n0)
| terminates(push,backwards,n0) ),
inference(subst,[],[refute_0_13:[bind(Time,$fot(n0))]]) ).
cnf(refute_0_15,plain,
( ~ happens(Event,Time)
| ~ holdsAt(Fluent,plus(Time,n1))
| ~ terminates(Event,Fluent,Time) ),
inference(canonicalize,[],[normalize_0_15]) ).
cnf(refute_0_16,plain,
( ~ happens(X_203,n0)
| ~ holdsAt(X_204,plus(n0,n1))
| ~ terminates(X_203,X_204,n0) ),
inference(subst,[],[refute_0_15:[bind(Event,$fot(X_203)),bind(Fluent,$fot(X_204)),bind(Time,$fot(n0))]]) ).
cnf(refute_0_17,plain,
plus(n0,n1) = n1,
inference(canonicalize,[],[normalize_0_16]) ).
cnf(refute_0_18,plain,
( plus(n0,n1) != n1
| ~ holdsAt(X_204,n1)
| holdsAt(X_204,plus(n0,n1)) ),
introduced(tautology,[equality,[$cnf( ~ holdsAt(X_204,plus(n0,n1)) ),[1],$fot(n1)]]) ).
cnf(refute_0_19,plain,
( ~ holdsAt(X_204,n1)
| holdsAt(X_204,plus(n0,n1)) ),
inference(resolve,[$cnf( $equal(plus(n0,n1),n1) )],[refute_0_17,refute_0_18]) ).
cnf(refute_0_20,plain,
( ~ happens(X_203,n0)
| ~ holdsAt(X_204,n1)
| ~ terminates(X_203,X_204,n0) ),
inference(resolve,[$cnf( holdsAt(X_204,plus(n0,n1)) )],[refute_0_19,refute_0_16]) ).
cnf(refute_0_21,plain,
( ~ happens(push,n0)
| ~ holdsAt(backwards,n1)
| ~ terminates(push,backwards,n0) ),
inference(subst,[],[refute_0_20:[bind(X_203,$fot(push)),bind(X_204,$fot(backwards))]]) ).
cnf(refute_0_22,plain,
( ~ happens(push,n0)
| ~ holdsAt(backwards,n1)
| happens(pull,n0) ),
inference(resolve,[$cnf( terminates(push,backwards,n0) )],[refute_0_14,refute_0_21]) ).
cnf(refute_0_23,plain,
( Event != push
| Time != n0
| happens(Event,Time) ),
inference(canonicalize,[],[normalize_0_22]) ).
cnf(refute_0_24,plain,
( n0 != n0
| push != push
| happens(push,n0) ),
inference(subst,[],[refute_0_23:[bind(Event,$fot(push)),bind(Time,$fot(n0))]]) ).
cnf(refute_0_25,plain,
n0 = n0,
introduced(tautology,[refl,[$fot(n0)]]) ).
cnf(refute_0_26,plain,
( push != push
| happens(push,n0) ),
inference(resolve,[$cnf( $equal(n0,n0) )],[refute_0_25,refute_0_24]) ).
cnf(refute_0_27,plain,
happens(push,n0),
inference(resolve,[$cnf( $equal(push,push) )],[refute_0_12,refute_0_26]) ).
cnf(refute_0_28,plain,
( ~ holdsAt(backwards,n1)
| happens(pull,n0) ),
inference(resolve,[$cnf( happens(push,n0) )],[refute_0_27,refute_0_22]) ).
cnf(refute_0_29,plain,
holdsAt(backwards,n1),
inference(canonicalize,[],[normalize_0_23]) ).
cnf(refute_0_30,plain,
happens(pull,n0),
inference(resolve,[$cnf( holdsAt(backwards,n1) )],[refute_0_29,refute_0_28]) ).
cnf(refute_0_31,plain,
( definitionFOFtoCNF_1(Event,Fluent,Time)
| terminates(Event,Fluent,Time) ),
inference(canonicalize,[],[normalize_0_24]) ).
cnf(refute_0_32,plain,
( definitionFOFtoCNF_1(X_206,X_207,n0)
| terminates(X_206,X_207,n0) ),
inference(subst,[],[refute_0_31:[bind(Event,$fot(X_206)),bind(Fluent,$fot(X_207)),bind(Time,$fot(n0))]]) ).
cnf(refute_0_33,plain,
( ~ happens(X_206,n0)
| ~ holdsAt(X_207,n1)
| ~ terminates(X_206,X_207,n0) ),
inference(subst,[],[refute_0_20:[bind(X_203,$fot(X_206)),bind(X_204,$fot(X_207))]]) ).
cnf(refute_0_34,plain,
( ~ happens(X_206,n0)
| ~ holdsAt(X_207,n1)
| definitionFOFtoCNF_1(X_206,X_207,n0) ),
inference(resolve,[$cnf( terminates(X_206,X_207,n0) )],[refute_0_32,refute_0_33]) ).
cnf(refute_0_35,plain,
( ~ happens(X_208,n0)
| ~ holdsAt(backwards,n1)
| definitionFOFtoCNF_1(X_208,backwards,n0) ),
inference(subst,[],[refute_0_34:[bind(X_206,$fot(X_208)),bind(X_207,$fot(backwards))]]) ).
cnf(refute_0_36,plain,
( ~ happens(X_208,n0)
| definitionFOFtoCNF_1(X_208,backwards,n0) ),
inference(resolve,[$cnf( holdsAt(backwards,n1) )],[refute_0_29,refute_0_35]) ).
cnf(refute_0_37,plain,
( ~ happens(pull,n0)
| definitionFOFtoCNF_1(pull,backwards,n0) ),
inference(subst,[],[refute_0_36:[bind(X_208,$fot(pull))]]) ).
cnf(refute_0_38,plain,
definitionFOFtoCNF_1(pull,backwards,n0),
inference(resolve,[$cnf( happens(pull,n0) )],[refute_0_30,refute_0_37]) ).
cnf(refute_0_39,plain,
definitionFOFtoCNF_2(pull,backwards,n0),
inference(resolve,[$cnf( definitionFOFtoCNF_1(pull,backwards,n0) )],[refute_0_38,refute_0_8]) ).
cnf(refute_0_40,plain,
~ happens(push,n0),
inference(resolve,[$cnf( definitionFOFtoCNF_2(pull,backwards,n0) )],[refute_0_39,refute_0_6]) ).
cnf(refute_0_41,plain,
$false,
inference(resolve,[$cnf( happens(push,n0) )],[refute_0_27,refute_0_40]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : CSR015+1 : TPTP v8.1.0. Bugfixed v3.1.0.
% 0.06/0.12 % Command : metis --show proof --show saturation %s
% 0.12/0.33 % Computer : n028.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Thu Jun 9 17:44:18 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.33 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.17/0.44 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.44
% 0.17/0.44 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.17/0.45
%------------------------------------------------------------------------------