%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : CSR015+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 : n010.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 0.10s 0.45s
% Output : CNFRefutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 12
% Syntax : Number of formulae : 73 ( 10 unt; 7 def)
% Number of atoms : 371 ( 162 equ)
% Maximal formula atoms : 19 ( 5 avg)
% Number of connectives : 442 ( 144 ~; 151 |; 130 &)
% ( 16 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 12 ( 10 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 8 con; 0-2 aty)
% Number of variables : 167 ( 167 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f10,axiom,
! [Event,Time,Fluent] :
( ( terminates(Event,Fluent,Time)
& happens(Event,Time) )
=> ~ holdsAt(Fluent,plus(Time,n1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f14,axiom,
! [Event,Fluent,Time] :
( terminates(Event,Fluent,Time)
<=> ( ( ~ happens(push,Time)
& Fluent = spinning
& Event = pull )
| ( ~ happens(pull,Time)
& Fluent = spinning
& Event = push )
| ( happens(push,Time)
& Fluent = backwards
& Event = pull )
| ( happens(push,Time)
& Fluent = forwards
& Event = pull )
| ( ~ happens(push,Time)
& Fluent = forwards
& Event = pull )
| ( ~ happens(pull,Time)
& Fluent = backwards
& Event = push ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f16,axiom,
! [Event,Time] :
( happens(Event,Time)
<=> ( ( Time = n2
& Event = push )
| ( Time = n2
& Event = pull )
| ( Time = n1
& Event = pull )
| ( Time = n0
& Event = push ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f22,axiom,
plus(n0,n1) = n1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f48,conjecture,
~ holdsAt(backwards,n1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f49,negated_conjecture,
~ ~ holdsAt(backwards,n1),
inference(negated_conjecture,[status(cth)],[f48]) ).
fof(f91,plain,
! [Event,Time,Fluent] :
( ~ holdsAt(Fluent,plus(Time,n1))
| ~ terminates(Event,Fluent,Time)
| ~ happens(Event,Time) ),
inference(pre_NNF_transformation,[status(thm)],[f10]) ).
fof(f92,plain,
! [Time,Fluent] :
( ~ holdsAt(Fluent,plus(Time,n1))
| ! [Event] :
( ~ terminates(Event,Fluent,Time)
| ~ happens(Event,Time) ) ),
inference(miniscoping,[status(thm)],[f91]) ).
fof(f93,plain,
! [X0,X1,X2] :
( ~ holdsAt(X2,plus(X1,n1))
| ~ terminates(X0,X2,X1)
| ~ happens(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f92]) ).
fof(f110,definition,
! [Event,Fluent,Time] :
( sP1_prd(Time,Fluent,Event)
<=> ( ( ~ happens(pull,Time)
& Fluent = spinning
& Event = push )
| ( happens(push,Time)
& Fluent = backwards
& Event = pull )
| ( happens(push,Time)
& Fluent = forwards
& Event = pull )
| ( ~ happens(push,Time)
& Fluent = forwards
& Event = pull )
| ( ~ happens(pull,Time)
& Fluent = backwards
& Event = push ) ) ),
introduced(definition,[new_symbols(definition,[sP1_prd])],[]) ).
fof(f111,plain,
! [Event,Fluent,Time] :
( terminates(Event,Fluent,Time)
<=> ( ( ~ happens(push,Time)
& Fluent = spinning
& Event = pull )
| sP1_prd(Time,Fluent,Event) ) ),
inference(formula_renaming,[status(thm)],[f14,f110]) ).
fof(f112,plain,
! [Event,Fluent,Time] :
( ( ( ( happens(push,Time)
| Fluent != spinning
| Event != pull )
& ~ sP1_prd(Time,Fluent,Event) )
| terminates(Event,Fluent,Time) )
& ( ( ~ happens(push,Time)
& Fluent = spinning
& Event = pull )
| sP1_prd(Time,Fluent,Event)
| ~ terminates(Event,Fluent,Time) ) ),
inference(NNF_transformation,[status(thm)],[f111]) ).
fof(f113,plain,
( ! [Event,Fluent,Time] :
( ( ( happens(push,Time)
| Fluent != spinning
| Event != pull )
& ~ sP1_prd(Time,Fluent,Event) )
| terminates(Event,Fluent,Time) )
& ! [Event,Fluent,Time] :
( ( ~ happens(push,Time)
& Fluent = spinning
& Event = pull )
| sP1_prd(Time,Fluent,Event)
| ~ terminates(Event,Fluent,Time) ) ),
inference(miniscoping,[status(thm)],[f112]) ).
fof(f117,plain,
! [X0,X1,X2] :
( ~ sP1_prd(X2,X1,X0)
| terminates(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f113]) ).
fof(f120,definition,
! [Event,Time] :
( sP2_prd(Time,Event)
<=> ( ( Time = n2
& Event = pull )
| ( Time = n1
& Event = pull )
| ( Time = n0
& Event = push ) ) ),
introduced(definition,[new_symbols(definition,[sP2_prd])],[]) ).
fof(f121,plain,
! [Event,Time] :
( happens(Event,Time)
<=> ( ( Time = n2
& Event = push )
| sP2_prd(Time,Event) ) ),
inference(formula_renaming,[status(thm)],[f16,f120]) ).
fof(f122,plain,
! [Event,Time] :
( ( ( ( Time != n2
| Event != push )
& ~ sP2_prd(Time,Event) )
| happens(Event,Time) )
& ( ( Time = n2
& Event = push )
| sP2_prd(Time,Event)
| ~ happens(Event,Time) ) ),
inference(NNF_transformation,[status(thm)],[f121]) ).
fof(f123,plain,
( ! [Event,Time] :
( ( ( Time != n2
| Event != push )
& ~ sP2_prd(Time,Event) )
| happens(Event,Time) )
& ! [Event,Time] :
( ( Time = n2
& Event = push )
| sP2_prd(Time,Event)
| ~ happens(Event,Time) ) ),
inference(miniscoping,[status(thm)],[f122]) ).
fof(f126,plain,
! [X0,X1] :
( ~ sP2_prd(X1,X0)
| happens(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f123]) ).
fof(f133,plain,
plus(n0,n1) = n1,
inference(cnf_transformation,[status(thm)],[f22]) ).
fof(f195,plain,
holdsAt(backwards,n1),
inference(cnf_transformation,[status(thm)],[f49]) ).
fof(f205,definition,
! [Event,Fluent,Time] :
( sP4_prd(Time,Fluent,Event)
<=> ( ( happens(push,Time)
& Fluent = backwards
& Event = pull )
| ( happens(push,Time)
& Fluent = forwards
& Event = pull )
| ( ~ happens(push,Time)
& Fluent = forwards
& Event = pull )
| ( ~ happens(pull,Time)
& Fluent = backwards
& Event = push ) ) ),
introduced(definition,[new_symbols(definition,[sP4_prd])],[]) ).
fof(f206,plain,
! [Event,Fluent,Time] :
( sP1_prd(Time,Fluent,Event)
<=> ( ( ~ happens(pull,Time)
& Fluent = spinning
& Event = push )
| sP4_prd(Time,Fluent,Event) ) ),
inference(formula_renaming,[status(thm)],[f110,f205]) ).
fof(f207,plain,
! [Event,Fluent,Time] :
( ( ( ( happens(pull,Time)
| Fluent != spinning
| Event != push )
& ~ sP4_prd(Time,Fluent,Event) )
| sP1_prd(Time,Fluent,Event) )
& ( ( ~ happens(pull,Time)
& Fluent = spinning
& Event = push )
| sP4_prd(Time,Fluent,Event)
| ~ sP1_prd(Time,Fluent,Event) ) ),
inference(NNF_transformation,[status(thm)],[f206]) ).
fof(f208,plain,
( ! [Event,Fluent,Time] :
( ( ( happens(pull,Time)
| Fluent != spinning
| Event != push )
& ~ sP4_prd(Time,Fluent,Event) )
| sP1_prd(Time,Fluent,Event) )
& ! [Event,Fluent,Time] :
( ( ~ happens(pull,Time)
& Fluent = spinning
& Event = push )
| sP4_prd(Time,Fluent,Event)
| ~ sP1_prd(Time,Fluent,Event) ) ),
inference(miniscoping,[status(thm)],[f207]) ).
fof(f212,plain,
! [X0,X1,X2] :
( ~ sP4_prd(X0,X1,X2)
| sP1_prd(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f208]) ).
fof(f214,definition,
! [Event,Time] :
( sP5_prd(Time,Event)
<=> ( ( Time = n1
& Event = pull )
| ( Time = n0
& Event = push ) ) ),
introduced(definition,[new_symbols(definition,[sP5_prd])],[]) ).
fof(f215,plain,
! [Event,Time] :
( sP2_prd(Time,Event)
<=> ( ( Time = n2
& Event = pull )
| sP5_prd(Time,Event) ) ),
inference(formula_renaming,[status(thm)],[f120,f214]) ).
fof(f216,plain,
! [Event,Time] :
( ( ( ( Time != n2
| Event != pull )
& ~ sP5_prd(Time,Event) )
| sP2_prd(Time,Event) )
& ( ( Time = n2
& Event = pull )
| sP5_prd(Time,Event)
| ~ sP2_prd(Time,Event) ) ),
inference(NNF_transformation,[status(thm)],[f215]) ).
fof(f217,plain,
( ! [Event,Time] :
( ( ( Time != n2
| Event != pull )
& ~ sP5_prd(Time,Event) )
| sP2_prd(Time,Event) )
& ! [Event,Time] :
( ( Time = n2
& Event = pull )
| sP5_prd(Time,Event)
| ~ sP2_prd(Time,Event) ) ),
inference(miniscoping,[status(thm)],[f216]) ).
fof(f220,plain,
! [X0,X1] :
( ~ sP5_prd(X0,X1)
| sP2_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f217]) ).
fof(f228,definition,
! [Event,Fluent,Time] :
( sP6_prd(Time,Fluent,Event)
<=> ( ( happens(push,Time)
& Fluent = forwards
& Event = pull )
| ( ~ happens(push,Time)
& Fluent = forwards
& Event = pull )
| ( ~ happens(pull,Time)
& Fluent = backwards
& Event = push ) ) ),
introduced(definition,[new_symbols(definition,[sP6_prd])],[]) ).
fof(f229,plain,
! [Event,Fluent,Time] :
( sP4_prd(Time,Fluent,Event)
<=> ( ( happens(push,Time)
& Fluent = backwards
& Event = pull )
| sP6_prd(Time,Fluent,Event) ) ),
inference(formula_renaming,[status(thm)],[f205,f228]) ).
fof(f230,plain,
! [Event,Fluent,Time] :
( ( ( ( ~ happens(push,Time)
| Fluent != backwards
| Event != pull )
& ~ sP6_prd(Time,Fluent,Event) )
| sP4_prd(Time,Fluent,Event) )
& ( ( happens(push,Time)
& Fluent = backwards
& Event = pull )
| sP6_prd(Time,Fluent,Event)
| ~ sP4_prd(Time,Fluent,Event) ) ),
inference(NNF_transformation,[status(thm)],[f229]) ).
fof(f231,plain,
( ! [Event,Fluent,Time] :
( ( ( ~ happens(push,Time)
| Fluent != backwards
| Event != pull )
& ~ sP6_prd(Time,Fluent,Event) )
| sP4_prd(Time,Fluent,Event) )
& ! [Event,Fluent,Time] :
( ( happens(push,Time)
& Fluent = backwards
& Event = pull )
| sP6_prd(Time,Fluent,Event)
| ~ sP4_prd(Time,Fluent,Event) ) ),
inference(miniscoping,[status(thm)],[f230]) ).
fof(f235,plain,
! [X0,X1,X2] :
( ~ sP6_prd(X0,X1,X2)
| sP4_prd(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f231]) ).
fof(f236,plain,
! [X0,X1,X2] :
( ~ happens(push,X0)
| X1 != backwards
| X2 != pull
| sP4_prd(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f231]) ).
fof(f237,plain,
! [Event,Time] :
( ( ( ( Time != n1
| Event != pull )
& ( Time != n0
| Event != push ) )
| sP5_prd(Time,Event) )
& ( ( Time = n1
& Event = pull )
| ( Time = n0
& Event = push )
| ~ sP5_prd(Time,Event) ) ),
inference(NNF_transformation,[status(thm)],[f214]) ).
fof(f238,plain,
( ! [Event,Time] :
( ( ( Time != n1
| Event != pull )
& ( Time != n0
| Event != push ) )
| sP5_prd(Time,Event) )
& ! [Event,Time] :
( ( Time = n1
& Event = pull )
| ( Time = n0
& Event = push )
| ~ sP5_prd(Time,Event) ) ),
inference(miniscoping,[status(thm)],[f237]) ).
fof(f243,plain,
! [X0,X1] :
( X0 != n0
| X1 != push
| sP5_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f238]) ).
fof(f245,definition,
! [Event,Fluent,Time] :
( sP7_prd(Time,Fluent,Event)
<=> ( ( ~ happens(push,Time)
& Fluent = forwards
& Event = pull )
| ( ~ happens(pull,Time)
& Fluent = backwards
& Event = push ) ) ),
introduced(definition,[new_symbols(definition,[sP7_prd])],[]) ).
fof(f246,plain,
! [Event,Fluent,Time] :
( sP6_prd(Time,Fluent,Event)
<=> ( ( happens(push,Time)
& Fluent = forwards
& Event = pull )
| sP7_prd(Time,Fluent,Event) ) ),
inference(formula_renaming,[status(thm)],[f228,f245]) ).
fof(f247,plain,
! [Event,Fluent,Time] :
( ( ( ( ~ happens(push,Time)
| Fluent != forwards
| Event != pull )
& ~ sP7_prd(Time,Fluent,Event) )
| sP6_prd(Time,Fluent,Event) )
& ( ( happens(push,Time)
& Fluent = forwards
& Event = pull )
| sP7_prd(Time,Fluent,Event)
| ~ sP6_prd(Time,Fluent,Event) ) ),
inference(NNF_transformation,[status(thm)],[f246]) ).
fof(f248,plain,
( ! [Event,Fluent,Time] :
( ( ( ~ happens(push,Time)
| Fluent != forwards
| Event != pull )
& ~ sP7_prd(Time,Fluent,Event) )
| sP6_prd(Time,Fluent,Event) )
& ! [Event,Fluent,Time] :
( ( happens(push,Time)
& Fluent = forwards
& Event = pull )
| sP7_prd(Time,Fluent,Event)
| ~ sP6_prd(Time,Fluent,Event) ) ),
inference(miniscoping,[status(thm)],[f247]) ).
fof(f252,plain,
! [X0,X1,X2] :
( ~ sP7_prd(X0,X1,X2)
| sP6_prd(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f248]) ).
fof(f254,definition,
! [Event,Fluent,Time] :
( sP8_prd(Time,Fluent,Event)
<=> ( ~ happens(pull,Time)
& Fluent = backwards
& Event = push ) ),
introduced(definition,[new_symbols(definition,[sP8_prd])],[]) ).
fof(f255,plain,
! [Event,Fluent,Time] :
( sP7_prd(Time,Fluent,Event)
<=> ( ( ~ happens(push,Time)
& Fluent = forwards
& Event = pull )
| sP8_prd(Time,Fluent,Event) ) ),
inference(formula_renaming,[status(thm)],[f245,f254]) ).
fof(f256,plain,
! [Event,Fluent,Time] :
( ( ( ( happens(push,Time)
| Fluent != forwards
| Event != pull )
& ~ sP8_prd(Time,Fluent,Event) )
| sP7_prd(Time,Fluent,Event) )
& ( ( ~ happens(push,Time)
& Fluent = forwards
& Event = pull )
| sP8_prd(Time,Fluent,Event)
| ~ sP7_prd(Time,Fluent,Event) ) ),
inference(NNF_transformation,[status(thm)],[f255]) ).
fof(f257,plain,
( ! [Event,Fluent,Time] :
( ( ( happens(push,Time)
| Fluent != forwards
| Event != pull )
& ~ sP8_prd(Time,Fluent,Event) )
| sP7_prd(Time,Fluent,Event) )
& ! [Event,Fluent,Time] :
( ( ~ happens(push,Time)
& Fluent = forwards
& Event = pull )
| sP8_prd(Time,Fluent,Event)
| ~ sP7_prd(Time,Fluent,Event) ) ),
inference(miniscoping,[status(thm)],[f256]) ).
fof(f261,plain,
! [X0,X1,X2] :
( ~ sP8_prd(X0,X1,X2)
| sP7_prd(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f257]) ).
fof(f263,plain,
! [Event,Fluent,Time] :
( ( happens(pull,Time)
| Fluent != backwards
| Event != push
| sP8_prd(Time,Fluent,Event) )
& ( ( ~ happens(pull,Time)
& Fluent = backwards
& Event = push )
| ~ sP8_prd(Time,Fluent,Event) ) ),
inference(NNF_transformation,[status(thm)],[f254]) ).
fof(f264,plain,
( ! [Event,Fluent,Time] :
( happens(pull,Time)
| Fluent != backwards
| Event != push
| sP8_prd(Time,Fluent,Event) )
& ! [Event,Fluent,Time] :
( ( ~ happens(pull,Time)
& Fluent = backwards
& Event = push )
| ~ sP8_prd(Time,Fluent,Event) ) ),
inference(miniscoping,[status(thm)],[f263]) ).
fof(f268,plain,
! [X0,X1,X2] :
( happens(pull,X0)
| X1 != backwards
| X2 != push
| sP8_prd(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f264]) ).
fof(f278,plain,
! [X0] :
( ~ happens(push,X0)
| sP4_prd(X0,backwards,pull) ),
inference(destructive_equality_resolution,[status(thm)],[f236]) ).
fof(f279,plain,
sP5_prd(n0,push),
inference(destructive_equality_resolution,[status(thm)],[f243]) ).
fof(f283,plain,
! [X0] :
( happens(pull,X0)
| sP8_prd(X0,backwards,push) ),
inference(destructive_equality_resolution,[status(thm)],[f268]) ).
fof(f300,plain,
! [X0,X1] :
( happens(X1,X0)
| ~ sP5_prd(X0,X1) ),
inference(resolution,[status(thm)],[f220,f126]) ).
fof(f356,plain,
happens(push,n0),
inference(resolution,[status(thm)],[f300,f279]) ).
fof(f409,plain,
! [X0,X1] :
( ~ holdsAt(X1,n1)
| ~ terminates(X0,X1,n0)
| ~ happens(X0,n0) ),
inference(paramodulation,[status(thm)],[f133,f93]) ).
fof(f654,plain,
! [X0] :
( sP1_prd(X0,backwards,pull)
| ~ happens(push,X0) ),
inference(resolution,[status(thm)],[f278,f212]) ).
fof(f785,plain,
! [X0] :
( sP7_prd(X0,backwards,push)
| happens(pull,X0) ),
inference(resolution,[status(thm)],[f283,f261]) ).
fof(f891,plain,
! [X0] :
( terminates(pull,backwards,X0)
| ~ happens(push,X0) ),
inference(resolution,[status(thm)],[f654,f117]) ).
fof(f896,plain,
! [X0] :
( sP6_prd(X0,backwards,push)
| happens(pull,X0) ),
inference(resolution,[status(thm)],[f785,f252]) ).
fof(f905,plain,
! [X0] :
( sP4_prd(X0,backwards,push)
| happens(pull,X0) ),
inference(resolution,[status(thm)],[f896,f235]) ).
fof(f909,plain,
! [X0] :
( sP1_prd(X0,backwards,push)
| happens(pull,X0) ),
inference(resolution,[status(thm)],[f905,f212]) ).
fof(f911,plain,
! [X0] :
( terminates(push,backwards,X0)
| happens(pull,X0) ),
inference(resolution,[status(thm)],[f909,f117]) ).
fof(f1252,plain,
( happens(pull,n0)
| ~ holdsAt(backwards,n1)
| ~ happens(push,n0) ),
inference(resolution,[status(thm)],[f409,f911]) ).
fof(f1254,plain,
( ~ happens(push,n0)
| ~ holdsAt(backwards,n1)
| ~ happens(pull,n0) ),
inference(resolution,[status(thm)],[f409,f891]) ).
fof(f1258,plain,
( happens(pull,n0)
| ~ holdsAt(backwards,n1) ),
inference(forward_subsumption_resolution,[status(thm)],[f1252,f356]) ).
fof(f1260,plain,
( ~ happens(push,n0)
| ~ happens(pull,n0) ),
inference(forward_subsumption_resolution,[status(thm)],[f1254,f195]) ).
fof(f1262,plain,
~ happens(pull,n0),
inference(forward_subsumption_resolution,[status(thm)],[f1260,f356]) ).
fof(f1264,plain,
happens(pull,n0),
inference(forward_subsumption_resolution,[status(thm)],[f1258,f195]) ).
fof(f1265,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f1262,f1264]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR015+1 : TPTP v9.3.1. Bugfixed v3.1.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n010.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Mon Sep 21 14:24:10 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.38 % Drodi V4.1.1
% 0.10/0.45 % Refutation found
% 0.10/0.45 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.10/0.45 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.10/0.50 % Elapsed time: 0.118536 seconds
% 0.10/0.50 % CPU time: 0.460182 seconds
% 0.10/0.50 % Total memory used: 110.646 MB
% 0.10/0.50 % Net memory used: 110.315 MB
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