%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : CSR014+1 : TPTP v9.3.1. Bugfixed v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n019.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 12:12:50 PM UTC 2026
% Result : Theorem 0.19s 0.48s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 13
% Syntax : Number of formulae : 44 ( 19 unt; 4 def)
% Number of atoms : 89 ( 25 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 81 ( 36 ~; 28 |; 11 &)
% ( 5 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 5 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 6 con; 0-2 aty)
% Number of variables : 47 ( 42 !; 5 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
! [Fluent,Time] :
( ( ~ ? [Event] :
( releases(Event,Fluent,Time)
& happens(Event,Time) )
& ~ releasedAt(Fluent,Time) )
=> ~ releasedAt(Fluent,plus(Time,n1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f15,axiom,
! [Event,Fluent,Time] :
( releases(Event,Fluent,Time)
<=> ? [Height] :
( Fluent = waterLevel(Height)
& Event = tapOn ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f22,axiom,
! [X] : filling != waterLevel(X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f27,axiom,
plus(n0,n1) = n1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f30,axiom,
plus(n1,n1) = n2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f31,axiom,
plus(n1,n2) = n3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f36,axiom,
! [X,Y] : plus(X,Y) = plus(Y,X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f53,hypothesis,
~ releasedAt(filling,n0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f55,conjecture,
~ releasedAt(filling,n3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f56,negated_conjecture,
~ ~ releasedAt(filling,n3),
inference(negated_conjecture,[status(cth)],[f55]) ).
fof(f91,plain,
! [Fluent,Time] :
( ~ releasedAt(Fluent,plus(Time,n1))
| ? [Event] :
( releases(Event,Fluent,Time)
& happens(Event,Time) )
| releasedAt(Fluent,Time) ),
inference(pre_NNF_transformation,[status(thm)],[f8]) ).
fof(f92,plain,
! [Fluent,Time] :
( ~ releasedAt(Fluent,plus(Time,n1))
| ( releases(sK7_skl(Time,Fluent),Fluent,Time)
& happens(sK7_skl(Time,Fluent),Time) )
| releasedAt(Fluent,Time) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK7_skl]),skolemize(Event,sK7_skl(Time,Fluent))],[f91]) ).
fof(f94,plain,
! [X0,X1] :
( ~ releasedAt(X0,plus(X1,n1))
| releases(sK7_skl(X1,X0),X0,X1)
| releasedAt(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f92]) ).
fof(f126,plain,
! [Event,Fluent,Time] :
( ( ! [Height] :
( Fluent != waterLevel(Height)
| Event != tapOn )
| releases(Event,Fluent,Time) )
& ( ? [Height] :
( Fluent = waterLevel(Height)
& Event = tapOn )
| ~ releases(Event,Fluent,Time) ) ),
inference(NNF_transformation,[status(thm)],[f15]) ).
fof(f127,plain,
( ! [Event,Fluent] :
( ! [Height] : Fluent != waterLevel(Height)
| Event != tapOn
| ! [Time] : releases(Event,Fluent,Time) )
& ! [Event,Fluent] :
( ( ? [Height] : Fluent = waterLevel(Height)
& Event = tapOn )
| ! [Time] : ~ releases(Event,Fluent,Time) ) ),
inference(miniscoping,[status(thm)],[f126]) ).
fof(f128,plain,
( ! [Event,Fluent] :
( ! [Height] : Fluent != waterLevel(Height)
| Event != tapOn
| ! [Time] : releases(Event,Fluent,Time) )
& ! [Event,Fluent] :
( ( Fluent = waterLevel(sK9_skl(Fluent,Event))
& Event = tapOn )
| ! [Time] : ~ releases(Event,Fluent,Time) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK9_skl]),skolemize(Height,sK9_skl(Fluent,Event))],[f127]) ).
fof(f130,plain,
! [X0,X1,X2] :
( X1 = waterLevel(sK9_skl(X1,X0))
| ~ releases(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f128]) ).
fof(f150,plain,
! [X0] : filling != waterLevel(X0),
inference(cnf_transformation,[status(thm)],[f22]) ).
fof(f158,plain,
plus(n0,n1) = n1,
inference(cnf_transformation,[status(thm)],[f27]) ).
fof(f161,plain,
plus(n1,n1) = n2,
inference(cnf_transformation,[status(thm)],[f30]) ).
fof(f162,plain,
plus(n1,n2) = n3,
inference(cnf_transformation,[status(thm)],[f31]) ).
fof(f167,plain,
! [X0,X1] : plus(X0,X1) = plus(X1,X0),
inference(cnf_transformation,[status(thm)],[f36]) ).
fof(f220,plain,
~ releasedAt(filling,n0),
inference(cnf_transformation,[status(thm)],[f53]) ).
fof(f222,plain,
releasedAt(filling,n3),
inference(cnf_transformation,[status(thm)],[f56]) ).
fof(f498,plain,
! [X0,X1] : ~ releases(X0,filling,X1),
inference(resolution,[status(thm)],[f130,f150]) ).
fof(f508,plain,
! [X0] :
( ~ releasedAt(filling,plus(X0,n1))
| releasedAt(filling,X0) ),
inference(resolution,[status(thm)],[f498,f94]) ).
fof(f521,plain,
( ~ releasedAt(filling,n2)
| releasedAt(filling,n1) ),
inference(paramodulation,[status(thm)],[f161,f508]) ).
fof(f522,plain,
( ~ releasedAt(filling,n1)
| releasedAt(filling,n0) ),
inference(paramodulation,[status(thm)],[f158,f508]) ).
fof(f523,plain,
! [X0] :
( ~ releasedAt(filling,plus(n1,X0))
| releasedAt(filling,X0) ),
inference(paramodulation,[status(thm)],[f167,f508]) ).
fof(f525,definition,
( sQ35_spl
<=> releasedAt(filling,n1) ),
introduced(definition,[new_symbols(definition,[sQ35_spl])],[split_symbol_definition]) ).
fof(f528,definition,
( sQ36_spl
<=> releasedAt(filling,n2) ),
introduced(definition,[new_symbols(definition,[sQ36_spl])],[split_symbol_definition]) ).
fof(f531,plain,
( ~ sQ36_spl
| sQ35_spl ),
inference(split_clause,[status(thm)],[f521,f525,f528]) ).
fof(f532,definition,
( sQ37_spl
<=> releasedAt(filling,n0) ),
introduced(definition,[new_symbols(definition,[sQ37_spl])],[split_symbol_definition]) ).
fof(f533,plain,
( ~ sQ37_spl
| releasedAt(filling,n0) ),
inference(component_clause,[status(thm)],[f532]) ).
fof(f535,plain,
( ~ sQ35_spl
| sQ37_spl ),
inference(split_clause,[status(thm)],[f522,f532,f525]) ).
fof(f536,plain,
( ~ sQ37_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f533,f220]) ).
fof(f537,plain,
~ sQ37_spl,
inference(contradiction_clause,[status(thm)],[f536]) ).
fof(f611,plain,
( ~ releasedAt(filling,n3)
| releasedAt(filling,n2) ),
inference(paramodulation,[status(thm)],[f162,f523]) ).
fof(f628,definition,
( sQ50_spl
<=> releasedAt(filling,n3) ),
introduced(definition,[new_symbols(definition,[sQ50_spl])],[split_symbol_definition]) ).
fof(f630,plain,
( sQ50_spl
| ~ releasedAt(filling,n3) ),
inference(component_clause,[status(thm)],[f628]) ).
fof(f635,plain,
( ~ sQ50_spl
| sQ36_spl ),
inference(split_clause,[status(thm)],[f611,f528,f628]) ).
fof(f637,plain,
( sQ50_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f630,f222]) ).
fof(f638,plain,
sQ50_spl,
inference(contradiction_clause,[status(thm)],[f637]) ).
fof(f639,plain,
$false,
inference(sat_refutation,[status(thm)],[f531,f535,f537,f635,f638]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : CSR014+1 : TPTP v9.3.1. Bugfixed v3.1.0.
% 0.00/0.06 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.43 % Computer : n019.cluster.edu
% 0.19/0.43 % Model : x86_64 x86_64
% 0.19/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.43 % Memory : 8046.5625MB
% 0.19/0.43 % OS : Linux 6.8.0-71-generic
% 0.19/0.44 % CPULimit : 300
% 0.19/0.44 % WCLimit : 300
% 0.19/0.44 % DateTime : Mon Sep 21 14:24:04 UTC 2026
% 0.19/0.44 % CPUTime :
% 0.19/0.45 % Drodi V4.1.1
% 0.19/0.48 % Refutation found
% 0.19/0.48 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.19/0.48 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.24/0.52 % Elapsed time: 0.068766 seconds
% 0.24/0.52 % CPU time: 0.242802 seconds
% 0.24/0.52 % Total memory used: 107.045 MB
% 0.24/0.52 % Net memory used: 106.896 MB
%------------------------------------------------------------------------------