TSTP Solution File: CSR004+2 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : CSR004+2 : TPTP v8.1.2. Bugfixed v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n010.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 : 300s
% DateTime : Tue Apr 30 20:14:17 EDT 2024
% Result : Theorem 0.14s 0.32s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 7
% Syntax : Number of formulae : 25 ( 10 unt; 0 def)
% Number of atoms : 67 ( 11 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 65 ( 23 ~; 23 |; 14 &)
% ( 5 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 3 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-1 aty)
% Number of variables : 15 ( 15 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f16,axiom,
! [Event,Time] :
( happens(Event,Time)
<=> ( ( Event = tapOn
& Time = n0 )
| ( holdsAt(waterLevel(n3),Time)
& holdsAt(filling,Time)
& Event = overflow ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f55,lemma,
holdsAt(waterLevel(n3),n3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f56,lemma,
holdsAt(filling,n3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f57,conjecture,
happens(overflow,n3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f58,negated_conjecture,
~ happens(overflow,n3),
inference(negated_conjecture,[status(cth)],[f57]) ).
fof(f134,plain,
! [Event,Time] :
( pd0_1(Time,Event)
<=> ( Event = tapOn
& Time = n0 ) ),
introduced(predicate_definition,[f16]) ).
fof(f135,plain,
! [Event,Time] :
( happens(Event,Time)
<=> ( pd0_1(Time,Event)
| ( holdsAt(waterLevel(n3),Time)
& holdsAt(filling,Time)
& Event = overflow ) ) ),
inference(formula_renaming,[status(thm)],[f16,f134]) ).
fof(f136,plain,
! [Event,Time] :
( ( ~ happens(Event,Time)
| pd0_1(Time,Event)
| ( holdsAt(waterLevel(n3),Time)
& holdsAt(filling,Time)
& Event = overflow ) )
& ( happens(Event,Time)
| ( ~ pd0_1(Time,Event)
& ( ~ holdsAt(waterLevel(n3),Time)
| ~ holdsAt(filling,Time)
| Event != overflow ) ) ) ),
inference(NNF_transformation,[status(esa)],[f135]) ).
fof(f137,plain,
( ! [Event,Time] :
( ~ happens(Event,Time)
| pd0_1(Time,Event)
| ( holdsAt(waterLevel(n3),Time)
& holdsAt(filling,Time)
& Event = overflow ) )
& ! [Event,Time] :
( happens(Event,Time)
| ( ~ pd0_1(Time,Event)
& ( ~ holdsAt(waterLevel(n3),Time)
| ~ holdsAt(filling,Time)
| Event != overflow ) ) ) ),
inference(miniscoping,[status(esa)],[f136]) ).
fof(f142,plain,
! [X0,X1] :
( happens(X0,X1)
| ~ holdsAt(waterLevel(n3),X1)
| ~ holdsAt(filling,X1)
| X0 != overflow ),
inference(cnf_transformation,[status(esa)],[f137]) ).
fof(f224,plain,
holdsAt(waterLevel(n3),n3),
inference(cnf_transformation,[status(esa)],[f55]) ).
fof(f225,plain,
holdsAt(filling,n3),
inference(cnf_transformation,[status(esa)],[f56]) ).
fof(f226,plain,
~ happens(overflow,n3),
inference(cnf_transformation,[status(esa)],[f58]) ).
fof(f255,plain,
! [X0] :
( happens(overflow,X0)
| ~ holdsAt(waterLevel(n3),X0)
| ~ holdsAt(filling,X0) ),
inference(destructive_equality_resolution,[status(esa)],[f142]) ).
fof(f271,plain,
( spl0_2
<=> happens(overflow,n3) ),
introduced(split_symbol_definition) ).
fof(f272,plain,
( happens(overflow,n3)
| ~ spl0_2 ),
inference(component_clause,[status(thm)],[f271]) ).
fof(f274,plain,
( spl0_3
<=> holdsAt(filling,n3) ),
introduced(split_symbol_definition) ).
fof(f276,plain,
( ~ holdsAt(filling,n3)
| spl0_3 ),
inference(component_clause,[status(thm)],[f274]) ).
fof(f277,plain,
( happens(overflow,n3)
| ~ holdsAt(filling,n3) ),
inference(resolution,[status(thm)],[f255,f224]) ).
fof(f278,plain,
( spl0_2
| ~ spl0_3 ),
inference(split_clause,[status(thm)],[f277,f271,f274]) ).
fof(f279,plain,
( $false
| spl0_3 ),
inference(forward_subsumption_resolution,[status(thm)],[f276,f225]) ).
fof(f280,plain,
spl0_3,
inference(contradiction_clause,[status(thm)],[f279]) ).
fof(f281,plain,
( $false
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[status(thm)],[f272,f226]) ).
fof(f282,plain,
~ spl0_2,
inference(contradiction_clause,[status(thm)],[f281]) ).
fof(f283,plain,
$false,
inference(sat_refutation,[status(thm)],[f278,f280,f282]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.10 % Problem : CSR004+2 : TPTP v8.1.2. Bugfixed v3.1.0.
% 0.02/0.10 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.30 % Computer : n010.cluster.edu
% 0.09/0.30 % Model : x86_64 x86_64
% 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30 % Memory : 8042.1875MB
% 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30 % CPULimit : 300
% 0.09/0.30 % WCLimit : 300
% 0.09/0.30 % DateTime : Mon Apr 29 23:43:05 EDT 2024
% 0.09/0.31 % CPUTime :
% 0.14/0.32 % Drodi V3.6.0
% 0.14/0.32 % Refutation found
% 0.14/0.32 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.14/0.32 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.34 % Elapsed time: 0.019188 seconds
% 0.14/0.34 % CPU time: 0.023827 seconds
% 0.14/0.34 % Total memory used: 13.505 MB
% 0.14/0.34 % Net memory used: 13.493 MB
%------------------------------------------------------------------------------