%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : CSR023+1 : TPTP v9.3.1. Bugfixed v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n017.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 12:12:51 PM UTC 2026
% Result : Theorem 0.20s 0.51s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 9
% Syntax : Number of formulae : 39 ( 14 unt; 3 def)
% Number of atoms : 147 ( 69 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 157 ( 49 ~; 55 |; 44 &)
% ( 8 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 9 con; 0-2 aty)
% Number of variables : 66 ( 66 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f9,axiom,
! [Event,Time,Fluent] :
( ( initiates(Event,Fluent,Time)
& happens(Event,Time) )
=> holdsAt(Fluent,plus(Time,n1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f13,axiom,
! [Event,Fluent,Time] :
( initiates(Event,Fluent,Time)
<=> ( ( happens(push,Time)
& Fluent = spinning
& Event = pull )
| ( ~ happens(push,Time)
& Fluent = backwards
& Event = pull )
| ( ~ happens(pull,Time)
& Fluent = forwards
& Event = push ) ) ),
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p') ).
fof(f26,axiom,
plus(n1,n2) = n3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f31,axiom,
! [X,Y] : plus(X,Y) = plus(Y,X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f48,conjecture,
holdsAt(spinning,n3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f49,negated_conjecture,
~ holdsAt(spinning,n3),
inference(negated_conjecture,[status(cth)],[f48]) ).
fof(f88,plain,
! [Event,Time,Fluent] :
( holdsAt(Fluent,plus(Time,n1))
| ~ initiates(Event,Fluent,Time)
| ~ happens(Event,Time) ),
inference(pre_NNF_transformation,[status(thm)],[f9]) ).
fof(f89,plain,
! [Time,Fluent] :
( holdsAt(Fluent,plus(Time,n1))
| ! [Event] :
( ~ initiates(Event,Fluent,Time)
| ~ happens(Event,Time) ) ),
inference(miniscoping,[status(thm)],[f88]) ).
fof(f90,plain,
! [X0,X1,X2] :
( holdsAt(X2,plus(X1,n1))
| ~ initiates(X0,X2,X1)
| ~ happens(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f89]) ).
fof(f101,definition,
! [Event,Fluent,Time] :
( sP0_prd(Time,Fluent,Event)
<=> ( ( ~ happens(push,Time)
& Fluent = backwards
& Event = pull )
| ( ~ happens(pull,Time)
& Fluent = forwards
& Event = push ) ) ),
introduced(definition,[new_symbols(definition,[sP0_prd])],[]) ).
fof(f102,plain,
! [Event,Fluent,Time] :
( initiates(Event,Fluent,Time)
<=> ( ( happens(push,Time)
& Fluent = spinning
& Event = pull )
| sP0_prd(Time,Fluent,Event) ) ),
inference(formula_renaming,[status(thm)],[f13,f101]) ).
fof(f103,plain,
! [Event,Fluent,Time] :
( ( ( ( ~ happens(push,Time)
| Fluent != spinning
| Event != pull )
& ~ sP0_prd(Time,Fluent,Event) )
| initiates(Event,Fluent,Time) )
& ( ( happens(push,Time)
& Fluent = spinning
& Event = pull )
| sP0_prd(Time,Fluent,Event)
| ~ initiates(Event,Fluent,Time) ) ),
inference(NNF_transformation,[status(thm)],[f102]) ).
fof(f104,plain,
( ! [Event,Fluent,Time] :
( ( ( ~ happens(push,Time)
| Fluent != spinning
| Event != pull )
& ~ sP0_prd(Time,Fluent,Event) )
| initiates(Event,Fluent,Time) )
& ! [Event,Fluent,Time] :
( ( happens(push,Time)
& Fluent = spinning
& Event = pull )
| sP0_prd(Time,Fluent,Event)
| ~ initiates(Event,Fluent,Time) ) ),
inference(miniscoping,[status(thm)],[f103]) ).
fof(f109,plain,
! [X0,X1,X2] :
( ~ happens(push,X2)
| X1 != spinning
| X0 != pull
| initiates(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f104]) ).
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(f127,plain,
! [X0,X1] :
( X1 != n2
| X0 != push
| happens(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f123]) ).
fof(f137,plain,
plus(n1,n2) = n3,
inference(cnf_transformation,[status(thm)],[f26]) ).
fof(f142,plain,
! [X0,X1] : plus(X0,X1) = plus(X1,X0),
inference(cnf_transformation,[status(thm)],[f31]) ).
fof(f195,plain,
~ holdsAt(spinning,n3),
inference(cnf_transformation,[status(thm)],[f49]) ).
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(f221,plain,
! [X0,X1] :
( X0 != n2
| X1 != pull
| sP2_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f217]) ).
fof(f269,plain,
! [X0] :
( ~ happens(push,X0)
| initiates(pull,spinning,X0) ),
inference(destructive_equality_resolution,[status(thm)],[f109]) ).
fof(f271,plain,
happens(push,n2),
inference(destructive_equality_resolution,[status(thm)],[f127]) ).
fof(f276,plain,
sP2_prd(n2,pull),
inference(destructive_equality_resolution,[status(thm)],[f221]) ).
fof(f287,plain,
initiates(pull,spinning,n2),
inference(resolution,[status(thm)],[f271,f269]) ).
fof(f289,plain,
happens(pull,n2),
inference(resolution,[status(thm)],[f126,f276]) ).
fof(f297,plain,
plus(n2,n1) = n3,
inference(backward_demodulation,[status(thm)],[f142,f137]) ).
fof(f318,plain,
( holdsAt(spinning,plus(n2,n1))
| ~ happens(pull,n2) ),
inference(resolution,[status(thm)],[f90,f287]) ).
fof(f320,plain,
( holdsAt(spinning,n3)
| ~ happens(pull,n2) ),
inference(forward_demodulation,[status(thm)],[f297,f318]) ).
fof(f321,plain,
holdsAt(spinning,n3),
inference(forward_subsumption_resolution,[status(thm)],[f320,f289]) ).
fof(f322,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f321,f195]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : CSR023+1 : TPTP v9.3.1. Bugfixed v3.1.0.
% 0.00/0.06 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.45 % Computer : n017.cluster.edu
% 0.20/0.45 % Model : x86_64 x86_64
% 0.20/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.20/0.45 % Memory : 8046.5625MB
% 0.20/0.45 % OS : Linux 6.8.0-71-generic
% 0.20/0.45 % CPULimit : 300
% 0.20/0.45 % WCLimit : 300
% 0.20/0.45 % DateTime : Mon Sep 21 14:19:42 UTC 2026
% 0.20/0.45 % CPUTime :
% 0.20/0.49 % Drodi V4.1.1
% 0.20/0.51 % Refutation found
% 0.20/0.51 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.20/0.51 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.20/0.54 % Elapsed time: 0.078244 seconds
% 0.20/0.54 % CPU time: 0.156418 seconds
% 0.20/0.54 % Total memory used: 37.200 MB
% 0.20/0.54 % Net memory used: 37.173 MB
%------------------------------------------------------------------------------