TSTP Solution File: CSR004+2 by Metis---2.4
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%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : CSR004+2 : TPTP v8.1.0. Bugfixed v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n013.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 21:56:30 EDT 2022
% Result : Theorem 0.19s 0.40s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 5
% Syntax : Number of formulae : 24 ( 14 unt; 0 def)
% Number of atoms : 77 ( 24 equ)
% Maximal formula atoms : 25 ( 3 avg)
% Number of connectives : 93 ( 40 ~; 38 |; 12 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-1 aty)
% Number of variables : 14 ( 0 sgn 10 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(happens_all_defn,axiom,
! [Event,Time] :
( happens(Event,Time)
<=> ( ( Event = tapOn
& Time = n0 )
| ( holdsAt(waterLevel(n3),Time)
& holdsAt(filling,Time)
& Event = overflow ) ) ) ).
fof(waterLevel_3,lemma,
holdsAt(waterLevel(n3),n3) ).
fof(filling_3,lemma,
holdsAt(filling,n3) ).
fof(overflow_3,conjecture,
happens(overflow,n3) ).
fof(subgoal_0,plain,
happens(overflow,n3),
inference(strip,[],[overflow_3]) ).
fof(negate_0_0,plain,
~ happens(overflow,n3),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
holdsAt(waterLevel(n3),n3),
inference(canonicalize,[],[waterLevel_3]) ).
fof(normalize_0_1,plain,
! [Event,Time] :
( ~ happens(Event,Time)
<=> ( ( Event != tapOn
| Time != n0 )
& ( Event != overflow
| ~ holdsAt(filling,Time)
| ~ holdsAt(waterLevel(n3),Time) ) ) ),
inference(canonicalize,[],[happens_all_defn]) ).
fof(normalize_0_2,plain,
! [Event,Time] :
( ~ happens(Event,Time)
<=> ( ( Event != tapOn
| Time != n0 )
& ( Event != overflow
| ~ holdsAt(filling,Time)
| ~ holdsAt(waterLevel(n3),Time) ) ) ),
inference(specialize,[],[normalize_0_1]) ).
fof(normalize_0_3,plain,
! [Event,Time] :
( ( Event != tapOn
| Time != n0
| happens(Event,Time) )
& ( ~ happens(Event,Time)
| Event = overflow
| Event = tapOn )
& ( ~ happens(Event,Time)
| Event = overflow
| Time = n0 )
& ( ~ happens(Event,Time)
| Event = tapOn
| holdsAt(filling,Time) )
& ( ~ happens(Event,Time)
| Event = tapOn
| holdsAt(waterLevel(n3),Time) )
& ( ~ happens(Event,Time)
| Time = n0
| holdsAt(filling,Time) )
& ( ~ happens(Event,Time)
| Time = n0
| holdsAt(waterLevel(n3),Time) )
& ( Event != overflow
| ~ holdsAt(filling,Time)
| ~ holdsAt(waterLevel(n3),Time)
| happens(Event,Time) ) ),
inference(clausify,[],[normalize_0_2]) ).
fof(normalize_0_4,plain,
! [Event,Time] :
( Event != overflow
| ~ holdsAt(filling,Time)
| ~ holdsAt(waterLevel(n3),Time)
| happens(Event,Time) ),
inference(conjunct,[],[normalize_0_3]) ).
fof(normalize_0_5,plain,
holdsAt(filling,n3),
inference(canonicalize,[],[filling_3]) ).
fof(normalize_0_6,plain,
~ happens(overflow,n3),
inference(canonicalize,[],[negate_0_0]) ).
cnf(refute_0_0,plain,
holdsAt(waterLevel(n3),n3),
inference(canonicalize,[],[normalize_0_0]) ).
cnf(refute_0_1,plain,
( Event != overflow
| ~ holdsAt(filling,Time)
| ~ holdsAt(waterLevel(n3),Time)
| happens(Event,Time) ),
inference(canonicalize,[],[normalize_0_4]) ).
cnf(refute_0_2,plain,
( overflow != overflow
| ~ holdsAt(filling,Time)
| ~ holdsAt(waterLevel(n3),Time)
| happens(overflow,Time) ),
inference(subst,[],[refute_0_1:[bind(Event,$fot(overflow))]]) ).
cnf(refute_0_3,plain,
overflow = overflow,
introduced(tautology,[refl,[$fot(overflow)]]) ).
cnf(refute_0_4,plain,
( ~ holdsAt(filling,Time)
| ~ holdsAt(waterLevel(n3),Time)
| happens(overflow,Time) ),
inference(resolve,[$cnf( $equal(overflow,overflow) )],[refute_0_3,refute_0_2]) ).
cnf(refute_0_5,plain,
( ~ holdsAt(filling,n3)
| ~ holdsAt(waterLevel(n3),n3)
| happens(overflow,n3) ),
inference(subst,[],[refute_0_4:[bind(Time,$fot(n3))]]) ).
cnf(refute_0_6,plain,
( ~ holdsAt(filling,n3)
| happens(overflow,n3) ),
inference(resolve,[$cnf( holdsAt(waterLevel(n3),n3) )],[refute_0_0,refute_0_5]) ).
cnf(refute_0_7,plain,
holdsAt(filling,n3),
inference(canonicalize,[],[normalize_0_5]) ).
cnf(refute_0_8,plain,
happens(overflow,n3),
inference(resolve,[$cnf( holdsAt(filling,n3) )],[refute_0_7,refute_0_6]) ).
cnf(refute_0_9,plain,
~ happens(overflow,n3),
inference(canonicalize,[],[normalize_0_6]) ).
cnf(refute_0_10,plain,
$false,
inference(resolve,[$cnf( happens(overflow,n3) )],[refute_0_8,refute_0_9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.11 % Problem : CSR004+2 : TPTP v8.1.0. Bugfixed v3.1.0.
% 0.02/0.12 % Command : metis --show proof --show saturation %s
% 0.12/0.33 % Computer : n013.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 : Sat Jun 11 12:32:59 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.33 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.19/0.40 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.40
% 0.19/0.40 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.19/0.40
%------------------------------------------------------------------------------