TSTP Solution File: CSR022+1 by Drodi---3.6.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : CSR022+1 : TPTP v8.1.2. Bugfixed v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n027.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 20:14:20 EDT 2024
% Result : Theorem 0.16s 0.37s
% Output : CNFRefutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 14
% Syntax : Number of formulae : 65 ( 17 unt; 0 def)
% Number of atoms : 295 ( 128 equ)
% Maximal formula atoms : 19 ( 4 avg)
% Number of connectives : 334 ( 104 ~; 109 |; 104 &)
% ( 16 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 13 ( 11 usr; 3 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 9 con; 0-2 aty)
% Number of variables : 120 ( 120 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f10,axiom,
! [Event,Time,Fluent] :
( ( happens(Event,Time)
& terminates(Event,Fluent,Time) )
=> ~ holdsAt(Fluent,plus(Time,n1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f14,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) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f16,axiom,
! [Event,Time] :
( happens(Event,Time)
<=> ( ( Event = push
& Time = n0 )
| ( Event = pull
& Time = n1 )
| ( Event = pull
& Time = n2 )
| ( Event = push
& Time = n2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f26,axiom,
plus(n1,n2) = n3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f31,axiom,
! [X,Y] : plus(X,Y) = plus(Y,X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f48,conjecture,
~ holdsAt(forwards,n3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f49,negated_conjecture,
~ ~ holdsAt(forwards,n3),
inference(negated_conjecture,[status(cth)],[f48]) ).
fof(f91,plain,
! [Event,Time,Fluent] :
( ~ happens(Event,Time)
| ~ terminates(Event,Fluent,Time)
| ~ holdsAt(Fluent,plus(Time,n1)) ),
inference(pre_NNF_transformation,[status(esa)],[f10]) ).
fof(f92,plain,
! [Time,Fluent] :
( ! [Event] :
( ~ happens(Event,Time)
| ~ terminates(Event,Fluent,Time) )
| ~ holdsAt(Fluent,plus(Time,n1)) ),
inference(miniscoping,[status(esa)],[f91]) ).
fof(f93,plain,
! [X0,X1,X2] :
( ~ happens(X0,X1)
| ~ terminates(X0,X2,X1)
| ~ holdsAt(X2,plus(X1,n1)) ),
inference(cnf_transformation,[status(esa)],[f92]) ).
fof(f110,plain,
! [Event,Fluent,Time] :
( pd0_1(Time,Fluent,Event)
<=> ( ( 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) ) ) ),
introduced(predicate_definition,[f14]) ).
fof(f111,plain,
! [Event,Fluent,Time] :
( terminates(Event,Fluent,Time)
<=> ( pd0_1(Time,Fluent,Event)
| ( Event = pull
& Fluent = spinning
& ~ happens(push,Time) ) ) ),
inference(formula_renaming,[status(thm)],[f14,f110]) ).
fof(f112,plain,
! [Event,Fluent,Time] :
( ( ~ terminates(Event,Fluent,Time)
| pd0_1(Time,Fluent,Event)
| ( Event = pull
& Fluent = spinning
& ~ happens(push,Time) ) )
& ( terminates(Event,Fluent,Time)
| ( ~ pd0_1(Time,Fluent,Event)
& ( Event != pull
| Fluent != spinning
| happens(push,Time) ) ) ) ),
inference(NNF_transformation,[status(esa)],[f111]) ).
fof(f113,plain,
( ! [Event,Fluent,Time] :
( ~ terminates(Event,Fluent,Time)
| pd0_1(Time,Fluent,Event)
| ( Event = pull
& Fluent = spinning
& ~ happens(push,Time) ) )
& ! [Event,Fluent,Time] :
( terminates(Event,Fluent,Time)
| ( ~ pd0_1(Time,Fluent,Event)
& ( Event != pull
| Fluent != spinning
| happens(push,Time) ) ) ) ),
inference(miniscoping,[status(esa)],[f112]) ).
fof(f117,plain,
! [X0,X1,X2] :
( terminates(X0,X1,X2)
| ~ pd0_1(X2,X1,X0) ),
inference(cnf_transformation,[status(esa)],[f113]) ).
fof(f120,plain,
! [Event,Time] :
( pd0_2(Time,Event)
<=> ( ( Event = push
& Time = n0 )
| ( Event = pull
& Time = n1 )
| ( Event = pull
& Time = n2 ) ) ),
introduced(predicate_definition,[f16]) ).
fof(f121,plain,
! [Event,Time] :
( happens(Event,Time)
<=> ( pd0_2(Time,Event)
| ( Event = push
& Time = n2 ) ) ),
inference(formula_renaming,[status(thm)],[f16,f120]) ).
fof(f122,plain,
! [Event,Time] :
( ( ~ happens(Event,Time)
| pd0_2(Time,Event)
| ( Event = push
& Time = n2 ) )
& ( happens(Event,Time)
| ( ~ pd0_2(Time,Event)
& ( Event != push
| Time != n2 ) ) ) ),
inference(NNF_transformation,[status(esa)],[f121]) ).
fof(f123,plain,
( ! [Event,Time] :
( ~ happens(Event,Time)
| pd0_2(Time,Event)
| ( Event = push
& Time = n2 ) )
& ! [Event,Time] :
( happens(Event,Time)
| ( ~ pd0_2(Time,Event)
& ( Event != push
| Time != n2 ) ) ) ),
inference(miniscoping,[status(esa)],[f122]) ).
fof(f126,plain,
! [X0,X1] :
( happens(X0,X1)
| ~ pd0_2(X1,X0) ),
inference(cnf_transformation,[status(esa)],[f123]) ).
fof(f127,plain,
! [X0,X1] :
( happens(X0,X1)
| X0 != push
| X1 != n2 ),
inference(cnf_transformation,[status(esa)],[f123]) ).
fof(f137,plain,
plus(n1,n2) = n3,
inference(cnf_transformation,[status(esa)],[f26]) ).
fof(f142,plain,
! [X0,X1] : plus(X0,X1) = plus(X1,X0),
inference(cnf_transformation,[status(esa)],[f31]) ).
fof(f195,plain,
holdsAt(forwards,n3),
inference(cnf_transformation,[status(esa)],[f49]) ).
fof(f205,plain,
! [Event,Fluent,Time] :
( pd0_4(Time,Fluent,Event)
<=> ( ( 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) ) ) ),
introduced(predicate_definition,[f110]) ).
fof(f206,plain,
! [Event,Fluent,Time] :
( pd0_1(Time,Fluent,Event)
<=> ( pd0_4(Time,Fluent,Event)
| ( Event = push
& Fluent = spinning
& ~ happens(pull,Time) ) ) ),
inference(formula_renaming,[status(thm)],[f110,f205]) ).
fof(f207,plain,
! [Event,Fluent,Time] :
( ( ~ pd0_1(Time,Fluent,Event)
| pd0_4(Time,Fluent,Event)
| ( Event = push
& Fluent = spinning
& ~ happens(pull,Time) ) )
& ( pd0_1(Time,Fluent,Event)
| ( ~ pd0_4(Time,Fluent,Event)
& ( Event != push
| Fluent != spinning
| happens(pull,Time) ) ) ) ),
inference(NNF_transformation,[status(esa)],[f206]) ).
fof(f208,plain,
( ! [Event,Fluent,Time] :
( ~ pd0_1(Time,Fluent,Event)
| pd0_4(Time,Fluent,Event)
| ( Event = push
& Fluent = spinning
& ~ happens(pull,Time) ) )
& ! [Event,Fluent,Time] :
( pd0_1(Time,Fluent,Event)
| ( ~ pd0_4(Time,Fluent,Event)
& ( Event != push
| Fluent != spinning
| happens(pull,Time) ) ) ) ),
inference(miniscoping,[status(esa)],[f207]) ).
fof(f212,plain,
! [X0,X1,X2] :
( pd0_1(X0,X1,X2)
| ~ pd0_4(X0,X1,X2) ),
inference(cnf_transformation,[status(esa)],[f208]) ).
fof(f214,plain,
! [Event,Time] :
( pd0_5(Time,Event)
<=> ( ( Event = push
& Time = n0 )
| ( Event = pull
& Time = n1 ) ) ),
introduced(predicate_definition,[f120]) ).
fof(f215,plain,
! [Event,Time] :
( pd0_2(Time,Event)
<=> ( pd0_5(Time,Event)
| ( Event = pull
& Time = n2 ) ) ),
inference(formula_renaming,[status(thm)],[f120,f214]) ).
fof(f216,plain,
! [Event,Time] :
( ( ~ pd0_2(Time,Event)
| pd0_5(Time,Event)
| ( Event = pull
& Time = n2 ) )
& ( pd0_2(Time,Event)
| ( ~ pd0_5(Time,Event)
& ( Event != pull
| Time != n2 ) ) ) ),
inference(NNF_transformation,[status(esa)],[f215]) ).
fof(f217,plain,
( ! [Event,Time] :
( ~ pd0_2(Time,Event)
| pd0_5(Time,Event)
| ( Event = pull
& Time = n2 ) )
& ! [Event,Time] :
( pd0_2(Time,Event)
| ( ~ pd0_5(Time,Event)
& ( Event != pull
| Time != n2 ) ) ) ),
inference(miniscoping,[status(esa)],[f216]) ).
fof(f221,plain,
! [X0,X1] :
( pd0_2(X0,X1)
| X1 != pull
| X0 != n2 ),
inference(cnf_transformation,[status(esa)],[f217]) ).
fof(f228,plain,
! [Event,Fluent,Time] :
( pd0_6(Time,Fluent,Event)
<=> ( ( Event = push
& Fluent = backwards
& ~ happens(pull,Time) )
| ( Event = pull
& Fluent = forwards
& ~ happens(push,Time) )
| ( Event = pull
& Fluent = forwards
& happens(push,Time) ) ) ),
introduced(predicate_definition,[f205]) ).
fof(f229,plain,
! [Event,Fluent,Time] :
( pd0_4(Time,Fluent,Event)
<=> ( pd0_6(Time,Fluent,Event)
| ( Event = pull
& Fluent = backwards
& happens(push,Time) ) ) ),
inference(formula_renaming,[status(thm)],[f205,f228]) ).
fof(f230,plain,
! [Event,Fluent,Time] :
( ( ~ pd0_4(Time,Fluent,Event)
| pd0_6(Time,Fluent,Event)
| ( Event = pull
& Fluent = backwards
& happens(push,Time) ) )
& ( pd0_4(Time,Fluent,Event)
| ( ~ pd0_6(Time,Fluent,Event)
& ( Event != pull
| Fluent != backwards
| ~ happens(push,Time) ) ) ) ),
inference(NNF_transformation,[status(esa)],[f229]) ).
fof(f231,plain,
( ! [Event,Fluent,Time] :
( ~ pd0_4(Time,Fluent,Event)
| pd0_6(Time,Fluent,Event)
| ( Event = pull
& Fluent = backwards
& happens(push,Time) ) )
& ! [Event,Fluent,Time] :
( pd0_4(Time,Fluent,Event)
| ( ~ pd0_6(Time,Fluent,Event)
& ( Event != pull
| Fluent != backwards
| ~ happens(push,Time) ) ) ) ),
inference(miniscoping,[status(esa)],[f230]) ).
fof(f235,plain,
! [X0,X1,X2] :
( pd0_4(X0,X1,X2)
| ~ pd0_6(X0,X1,X2) ),
inference(cnf_transformation,[status(esa)],[f231]) ).
fof(f245,plain,
! [Event,Fluent,Time] :
( pd0_7(Time,Fluent,Event)
<=> ( ( Event = push
& Fluent = backwards
& ~ happens(pull,Time) )
| ( Event = pull
& Fluent = forwards
& ~ happens(push,Time) ) ) ),
introduced(predicate_definition,[f228]) ).
fof(f246,plain,
! [Event,Fluent,Time] :
( pd0_6(Time,Fluent,Event)
<=> ( pd0_7(Time,Fluent,Event)
| ( Event = pull
& Fluent = forwards
& happens(push,Time) ) ) ),
inference(formula_renaming,[status(thm)],[f228,f245]) ).
fof(f247,plain,
! [Event,Fluent,Time] :
( ( ~ pd0_6(Time,Fluent,Event)
| pd0_7(Time,Fluent,Event)
| ( Event = pull
& Fluent = forwards
& happens(push,Time) ) )
& ( pd0_6(Time,Fluent,Event)
| ( ~ pd0_7(Time,Fluent,Event)
& ( Event != pull
| Fluent != forwards
| ~ happens(push,Time) ) ) ) ),
inference(NNF_transformation,[status(esa)],[f246]) ).
fof(f248,plain,
( ! [Event,Fluent,Time] :
( ~ pd0_6(Time,Fluent,Event)
| pd0_7(Time,Fluent,Event)
| ( Event = pull
& Fluent = forwards
& happens(push,Time) ) )
& ! [Event,Fluent,Time] :
( pd0_6(Time,Fluent,Event)
| ( ~ pd0_7(Time,Fluent,Event)
& ( Event != pull
| Fluent != forwards
| ~ happens(push,Time) ) ) ) ),
inference(miniscoping,[status(esa)],[f247]) ).
fof(f253,plain,
! [X0,X1,X2] :
( pd0_6(X0,X1,X2)
| X2 != pull
| X1 != forwards
| ~ happens(push,X0) ),
inference(cnf_transformation,[status(esa)],[f248]) ).
fof(f271,plain,
happens(push,n2),
inference(destructive_equality_resolution,[status(esa)],[f127]) ).
fof(f276,plain,
pd0_2(n2,pull),
inference(destructive_equality_resolution,[status(esa)],[f221]) ).
fof(f281,plain,
! [X0] :
( pd0_6(X0,forwards,pull)
| ~ happens(push,X0) ),
inference(destructive_equality_resolution,[status(esa)],[f253]) ).
fof(f289,plain,
happens(pull,n2),
inference(resolution,[status(thm)],[f126,f276]) ).
fof(f393,plain,
pd0_6(n2,forwards,pull),
inference(resolution,[status(thm)],[f271,f281]) ).
fof(f408,plain,
pd0_4(n2,forwards,pull),
inference(resolution,[status(thm)],[f393,f235]) ).
fof(f410,plain,
pd0_1(n2,forwards,pull),
inference(resolution,[status(thm)],[f408,f212]) ).
fof(f412,plain,
terminates(pull,forwards,n2),
inference(resolution,[status(thm)],[f410,f117]) ).
fof(f413,plain,
( spl0_15
<=> happens(pull,n2) ),
introduced(split_symbol_definition) ).
fof(f415,plain,
( ~ happens(pull,n2)
| spl0_15 ),
inference(component_clause,[status(thm)],[f413]) ).
fof(f422,plain,
( $false
| spl0_15 ),
inference(forward_subsumption_resolution,[status(thm)],[f415,f289]) ).
fof(f423,plain,
spl0_15,
inference(contradiction_clause,[status(thm)],[f422]) ).
fof(f504,plain,
( spl0_30
<=> holdsAt(forwards,plus(n2,n1)) ),
introduced(split_symbol_definition) ).
fof(f506,plain,
( ~ holdsAt(forwards,plus(n2,n1))
| spl0_30 ),
inference(component_clause,[status(thm)],[f504]) ).
fof(f507,plain,
( ~ happens(pull,n2)
| ~ holdsAt(forwards,plus(n2,n1)) ),
inference(resolution,[status(thm)],[f93,f412]) ).
fof(f508,plain,
( ~ spl0_15
| ~ spl0_30 ),
inference(split_clause,[status(thm)],[f507,f413,f504]) ).
fof(f519,plain,
( ~ holdsAt(forwards,plus(n1,n2))
| spl0_30 ),
inference(forward_demodulation,[status(thm)],[f142,f506]) ).
fof(f520,plain,
( ~ holdsAt(forwards,n3)
| spl0_30 ),
inference(forward_demodulation,[status(thm)],[f137,f519]) ).
fof(f521,plain,
( $false
| spl0_30 ),
inference(forward_subsumption_resolution,[status(thm)],[f520,f195]) ).
fof(f522,plain,
spl0_30,
inference(contradiction_clause,[status(thm)],[f521]) ).
fof(f523,plain,
$false,
inference(sat_refutation,[status(thm)],[f423,f508,f522]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.10 % Problem : CSR022+1 : TPTP v8.1.2. Bugfixed v3.1.0.
% 0.06/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.31 % Computer : n027.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Tue Apr 30 00:17:47 EDT 2024
% 0.16/0.31 % CPUTime :
% 0.16/0.33 % Drodi V3.6.0
% 0.16/0.37 % Refutation found
% 0.16/0.37 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.16/0.37 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.16/0.39 % Elapsed time: 0.066285 seconds
% 0.16/0.39 % CPU time: 0.362816 seconds
% 0.16/0.39 % Total memory used: 68.077 MB
% 0.16/0.39 % Net memory used: 67.444 MB
%------------------------------------------------------------------------------