TSTP Solution File: CSR019+1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : CSR019+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 0.51s
% Output : CNFRefutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 14
% Syntax : Number of formulae : 72 ( 15 unt; 0 def)
% Number of atoms : 350 ( 154 equ)
% Maximal formula atoms : 19 ( 4 avg)
% Number of connectives : 407 ( 129 ~; 135 |; 124 &)
% ( 18 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 14 ( 12 usr; 3 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 8 con; 0-2 aty)
% Number of variables : 151 ( 151 !; 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(f25,axiom,
plus(n1,n1) = n2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f48,conjecture,
~ holdsAt(forwards,n2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f49,negated_conjecture,
~ ~ holdsAt(forwards,n2),
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(f136,plain,
plus(n1,n1) = n2,
inference(cnf_transformation,[status(esa)],[f25]) ).
fof(f195,plain,
holdsAt(forwards,n2),
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(f220,plain,
! [X0,X1] :
( pd0_2(X0,X1)
| ~ pd0_5(X0,X1) ),
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(f237,plain,
! [Event,Time] :
( ( ~ pd0_5(Time,Event)
| ( Event = push
& Time = n0 )
| ( Event = pull
& Time = n1 ) )
& ( pd0_5(Time,Event)
| ( ( Event != push
| Time != n0 )
& ( Event != pull
| Time != n1 ) ) ) ),
inference(NNF_transformation,[status(esa)],[f214]) ).
fof(f238,plain,
( ! [Event,Time] :
( ~ pd0_5(Time,Event)
| ( Event = push
& Time = n0 )
| ( Event = pull
& Time = n1 ) )
& ! [Event,Time] :
( pd0_5(Time,Event)
| ( ( Event != push
| Time != n0 )
& ( Event != pull
| Time != n1 ) ) ) ),
inference(miniscoping,[status(esa)],[f237]) ).
fof(f244,plain,
! [X0,X1] :
( pd0_5(X0,X1)
| X1 != pull
| X0 != n1 ),
inference(cnf_transformation,[status(esa)],[f238]) ).
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(f252,plain,
! [X0,X1,X2] :
( pd0_6(X0,X1,X2)
| ~ pd0_7(X0,X1,X2) ),
inference(cnf_transformation,[status(esa)],[f248]) ).
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(f254,plain,
! [Event,Fluent,Time] :
( pd0_8(Time,Fluent,Event)
<=> ( Event = push
& Fluent = backwards
& ~ happens(pull,Time) ) ),
introduced(predicate_definition,[f245]) ).
fof(f255,plain,
! [Event,Fluent,Time] :
( pd0_7(Time,Fluent,Event)
<=> ( pd0_8(Time,Fluent,Event)
| ( Event = pull
& Fluent = forwards
& ~ happens(push,Time) ) ) ),
inference(formula_renaming,[status(thm)],[f245,f254]) ).
fof(f256,plain,
! [Event,Fluent,Time] :
( ( ~ pd0_7(Time,Fluent,Event)
| pd0_8(Time,Fluent,Event)
| ( Event = pull
& Fluent = forwards
& ~ happens(push,Time) ) )
& ( pd0_7(Time,Fluent,Event)
| ( ~ pd0_8(Time,Fluent,Event)
& ( Event != pull
| Fluent != forwards
| happens(push,Time) ) ) ) ),
inference(NNF_transformation,[status(esa)],[f255]) ).
fof(f257,plain,
( ! [Event,Fluent,Time] :
( ~ pd0_7(Time,Fluent,Event)
| pd0_8(Time,Fluent,Event)
| ( Event = pull
& Fluent = forwards
& ~ happens(push,Time) ) )
& ! [Event,Fluent,Time] :
( pd0_7(Time,Fluent,Event)
| ( ~ pd0_8(Time,Fluent,Event)
& ( Event != pull
| Fluent != forwards
| happens(push,Time) ) ) ) ),
inference(miniscoping,[status(esa)],[f256]) ).
fof(f262,plain,
! [X0,X1,X2] :
( pd0_7(X0,X1,X2)
| X2 != pull
| X1 != forwards
| happens(push,X0) ),
inference(cnf_transformation,[status(esa)],[f257]) ).
fof(f280,plain,
pd0_5(n1,pull),
inference(destructive_equality_resolution,[status(esa)],[f244]) ).
fof(f281,plain,
! [X0] :
( pd0_6(X0,forwards,pull)
| ~ happens(push,X0) ),
inference(destructive_equality_resolution,[status(esa)],[f253]) ).
fof(f282,plain,
! [X0] :
( pd0_7(X0,forwards,pull)
| happens(push,X0) ),
inference(destructive_equality_resolution,[status(esa)],[f262]) ).
fof(f298,plain,
pd0_2(n1,pull),
inference(resolution,[status(thm)],[f220,f280]) ).
fof(f300,plain,
happens(pull,n1),
inference(resolution,[status(thm)],[f298,f126]) ).
fof(f840,plain,
! [X0,X1] :
( ~ happens(X0,n1)
| ~ terminates(X0,X1,n1)
| ~ holdsAt(X1,n2) ),
inference(paramodulation,[status(thm)],[f136,f93]) ).
fof(f1036,plain,
( spl0_108
<=> happens(pull,n1) ),
introduced(split_symbol_definition) ).
fof(f1038,plain,
( ~ happens(pull,n1)
| spl0_108 ),
inference(component_clause,[status(thm)],[f1036]) ).
fof(f1058,plain,
( $false
| spl0_108 ),
inference(forward_subsumption_resolution,[status(thm)],[f1038,f300]) ).
fof(f1059,plain,
spl0_108,
inference(contradiction_clause,[status(thm)],[f1058]) ).
fof(f3116,plain,
! [X0] :
( happens(push,X0)
| pd0_6(X0,forwards,pull) ),
inference(resolution,[status(thm)],[f282,f252]) ).
fof(f3117,plain,
! [X0] : pd0_6(X0,forwards,pull),
inference(forward_subsumption_resolution,[status(thm)],[f3116,f281]) ).
fof(f3261,plain,
! [X0] : pd0_4(X0,forwards,pull),
inference(resolution,[status(thm)],[f3117,f235]) ).
fof(f3269,plain,
! [X0] : pd0_1(X0,forwards,pull),
inference(resolution,[status(thm)],[f3261,f212]) ).
fof(f3277,plain,
! [X0] : terminates(pull,forwards,X0),
inference(resolution,[status(thm)],[f3269,f117]) ).
fof(f3278,plain,
( spl0_196
<=> holdsAt(forwards,n2) ),
introduced(split_symbol_definition) ).
fof(f3280,plain,
( ~ holdsAt(forwards,n2)
| spl0_196 ),
inference(component_clause,[status(thm)],[f3278]) ).
fof(f3281,plain,
( ~ happens(pull,n1)
| ~ holdsAt(forwards,n2) ),
inference(resolution,[status(thm)],[f3277,f840]) ).
fof(f3282,plain,
( ~ spl0_108
| ~ spl0_196 ),
inference(split_clause,[status(thm)],[f3281,f1036,f3278]) ).
fof(f3291,plain,
( $false
| spl0_196 ),
inference(forward_subsumption_resolution,[status(thm)],[f3280,f195]) ).
fof(f3292,plain,
spl0_196,
inference(contradiction_clause,[status(thm)],[f3291]) ).
fof(f3293,plain,
$false,
inference(sat_refutation,[status(thm)],[f1059,f3282,f3292]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.11 % Problem : CSR019+1 : TPTP v8.1.2. Bugfixed v3.1.0.
% 0.09/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.11/0.32 % Computer : n027.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Tue Apr 30 00:17:32 EDT 2024
% 0.11/0.32 % CPUTime :
% 0.11/0.34 % Drodi V3.6.0
% 0.16/0.51 % Refutation found
% 0.16/0.51 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.16/0.51 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.16/0.54 % Elapsed time: 0.196519 seconds
% 0.16/0.54 % CPU time: 1.424457 seconds
% 0.16/0.54 % Total memory used: 85.010 MB
% 0.16/0.54 % Net memory used: 82.917 MB
%------------------------------------------------------------------------------