%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : CSR020+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 : n005.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 0.11s 0.44s
% Output : CNFRefutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 14
% Syntax : Number of formulae : 78 ( 20 unt; 3 def)
% Number of atoms : 291 ( 126 equ)
% Maximal formula atoms : 19 ( 3 avg)
% Number of connectives : 326 ( 113 ~; 123 |; 77 &)
% ( 12 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 8 con; 0-2 aty)
% Number of variables : 124 ( 123 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f10,axiom,
! [Event,Time,Fluent] :
( ( terminates(Event,Fluent,Time)
& happens(Event,Time) )
=> ~ holdsAt(Fluent,plus(Time,n1)) ),
file('/export/starexec/sandbox/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/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(f17,axiom,
push != pull,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f25,axiom,
plus(n1,n1) = n2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f32,axiom,
! [X,Y] :
( less_or_equal(X,Y)
<=> ( X = Y
| less(X,Y) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f33,axiom,
~ ? [X] : less(X,n0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f34,axiom,
! [X] :
( less(X,n1)
<=> less_or_equal(X,n0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f35,axiom,
! [X] :
( less(X,n2)
<=> less_or_equal(X,n1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f43,axiom,
! [X,Y] :
( less(X,Y)
<=> ( Y != X
& ~ less(Y,X) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f48,conjecture,
~ holdsAt(spinning,n2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f49,negated_conjecture,
~ ~ holdsAt(spinning,n2),
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(f118,plain,
! [X0,X1,X2] :
( happens(push,X2)
| X1 != spinning
| X0 != pull
| 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(f125,plain,
! [X0,X1] :
( X1 = n2
| sP2_prd(X1,X0)
| ~ happens(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f123]) ).
fof(f126,plain,
! [X0,X1] :
( ~ sP2_prd(X1,X0)
| happens(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f123]) ).
fof(f128,plain,
push != pull,
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f136,plain,
plus(n1,n1) = n2,
inference(cnf_transformation,[status(thm)],[f25]) ).
fof(f143,plain,
! [X,Y] :
( ( ( X != Y
& ~ less(X,Y) )
| less_or_equal(X,Y) )
& ( X = Y
| less(X,Y)
| ~ less_or_equal(X,Y) ) ),
inference(NNF_transformation,[status(thm)],[f32]) ).
fof(f144,plain,
( ! [X,Y] :
( ( X != Y
& ~ less(X,Y) )
| less_or_equal(X,Y) )
& ! [X,Y] :
( X = Y
| less(X,Y)
| ~ less_or_equal(X,Y) ) ),
inference(miniscoping,[status(thm)],[f143]) ).
fof(f145,plain,
! [X0,X1] :
( X0 = X1
| less(X0,X1)
| ~ less_or_equal(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f144]) ).
fof(f147,plain,
! [X0,X1] :
( X0 != X1
| less_or_equal(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f144]) ).
fof(f148,plain,
! [X] : ~ less(X,n0),
inference(pre_NNF_transformation,[status(thm)],[f33]) ).
fof(f149,plain,
! [X0] : ~ less(X0,n0),
inference(cnf_transformation,[status(thm)],[f148]) ).
fof(f150,plain,
! [X] :
( ( ~ less_or_equal(X,n0)
| less(X,n1) )
& ( less_or_equal(X,n0)
| ~ less(X,n1) ) ),
inference(NNF_transformation,[status(thm)],[f34]) ).
fof(f151,plain,
( ! [X] :
( ~ less_or_equal(X,n0)
| less(X,n1) )
& ! [X] :
( less_or_equal(X,n0)
| ~ less(X,n1) ) ),
inference(miniscoping,[status(thm)],[f150]) ).
fof(f152,plain,
! [X0] :
( less_or_equal(X0,n0)
| ~ less(X0,n1) ),
inference(cnf_transformation,[status(thm)],[f151]) ).
fof(f153,plain,
! [X0] :
( ~ less_or_equal(X0,n0)
| less(X0,n1) ),
inference(cnf_transformation,[status(thm)],[f151]) ).
fof(f154,plain,
! [X] :
( ( ~ less_or_equal(X,n1)
| less(X,n2) )
& ( less_or_equal(X,n1)
| ~ less(X,n2) ) ),
inference(NNF_transformation,[status(thm)],[f35]) ).
fof(f155,plain,
( ! [X] :
( ~ less_or_equal(X,n1)
| less(X,n2) )
& ! [X] :
( less_or_equal(X,n1)
| ~ less(X,n2) ) ),
inference(miniscoping,[status(thm)],[f154]) ).
fof(f157,plain,
! [X0] :
( ~ less_or_equal(X0,n1)
| less(X0,n2) ),
inference(cnf_transformation,[status(thm)],[f155]) ).
fof(f186,plain,
! [X,Y] :
( ( Y = X
| less(Y,X)
| less(X,Y) )
& ( ( Y != X
& ~ less(Y,X) )
| ~ less(X,Y) ) ),
inference(NNF_transformation,[status(thm)],[f43]) ).
fof(f187,plain,
( ! [X,Y] :
( Y = X
| less(Y,X)
| less(X,Y) )
& ! [X,Y] :
( ( Y != X
& ~ less(Y,X) )
| ~ less(X,Y) ) ),
inference(miniscoping,[status(thm)],[f186]) ).
fof(f189,plain,
! [X0,X1] :
( X1 != X0
| ~ less(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f187]) ).
fof(f195,plain,
holdsAt(spinning,n2),
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(f219,plain,
! [X0,X1] :
( X0 = n2
| sP5_prd(X0,X1)
| ~ sP2_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f217]) ).
fof(f220,plain,
! [X0,X1] :
( ~ sP5_prd(X0,X1)
| sP2_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f217]) ).
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(f241,plain,
! [X0,X1] :
( X1 = pull
| X0 = n0
| ~ sP5_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f238]) ).
fof(f244,plain,
! [X0,X1] :
( X0 != n1
| X1 != pull
| sP5_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f238]) ).
fof(f270,plain,
! [X0] :
( happens(push,X0)
| terminates(pull,spinning,X0) ),
inference(destructive_equality_resolution,[status(thm)],[f118]) ).
fof(f272,plain,
! [X0] : less_or_equal(X0,X0),
inference(destructive_equality_resolution,[status(thm)],[f147]) ).
fof(f273,plain,
! [X0] : ~ less(X0,X0),
inference(destructive_equality_resolution,[status(thm)],[f189]) ).
fof(f280,plain,
sP5_prd(n1,pull),
inference(destructive_equality_resolution,[status(thm)],[f244]) ).
fof(f285,plain,
less(n1,n2),
inference(resolution,[status(thm)],[f272,f157]) ).
fof(f361,plain,
! [X0,X1] :
( happens(X1,X0)
| ~ sP5_prd(X0,X1) ),
inference(resolution,[status(thm)],[f220,f126]) ).
fof(f378,plain,
happens(pull,n1),
inference(resolution,[status(thm)],[f361,f280]) ).
fof(f390,plain,
! [X0] :
( X0 = n0
| less(X0,n0)
| ~ less(X0,n1) ),
inference(resolution,[status(thm)],[f152,f145]) ).
fof(f391,plain,
! [X0] :
( X0 = n0
| ~ less(X0,n1) ),
inference(forward_subsumption_resolution,[status(thm)],[f390,f149]) ).
fof(f397,plain,
less(n0,n1),
inference(resolution,[status(thm)],[f153,f272]) ).
fof(f443,plain,
! [X0,X1] :
( ~ holdsAt(X1,n2)
| ~ terminates(X0,X1,n1)
| ~ happens(X0,n1) ),
inference(paramodulation,[status(thm)],[f136,f93]) ).
fof(f448,plain,
( happens(push,n1)
| ~ holdsAt(spinning,n2)
| ~ happens(pull,n1) ),
inference(resolution,[status(thm)],[f443,f270]) ).
fof(f449,plain,
( happens(push,n1)
| ~ holdsAt(spinning,n2) ),
inference(forward_subsumption_resolution,[status(thm)],[f448,f378]) ).
fof(f450,plain,
happens(push,n1),
inference(forward_subsumption_resolution,[status(thm)],[f449,f195]) ).
fof(f642,plain,
! [X0,X1] :
( X0 = n2
| ~ happens(X1,X0)
| X0 = n2
| sP5_prd(X0,X1) ),
inference(resolution,[status(thm)],[f219,f125]) ).
fof(f645,plain,
! [X0,X1] :
( ~ happens(X1,X0)
| X0 = n2
| sP5_prd(X0,X1) ),
inference(duplicate_literals_removal,[status(thm)],[f642]) ).
fof(f811,plain,
! [X0,X1] :
( X1 = pull
| X0 = n0
| ~ happens(X1,X0)
| X0 = n2 ),
inference(resolution,[status(thm)],[f645,f241]) ).
fof(f1137,plain,
( push = pull
| n1 = n0
| n1 = n2 ),
inference(resolution,[status(thm)],[f811,f450]) ).
fof(f1140,plain,
( n1 = n0
| n1 = n2 ),
inference(forward_subsumption_resolution,[status(thm)],[f1137,f128]) ).
fof(f1196,plain,
( n1 = n0
| less(n1,n1) ),
inference(paramodulation,[status(thm)],[f1140,f285]) ).
fof(f1209,plain,
n1 = n0,
inference(forward_subsumption_resolution,[status(thm)],[f1196,f391]) ).
fof(f1235,plain,
less(n1,n1),
inference(backward_demodulation,[status(thm)],[f1209,f397]) ).
fof(f1276,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f1235,f273]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR020+1 : TPTP v9.3.1. Bugfixed v3.1.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.38 % Computer : n005.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Mon Sep 21 14:24:32 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.39 % Drodi V4.1.1
% 0.11/0.44 % Refutation found
% 0.11/0.44 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.11/0.44 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.11/0.48 % Elapsed time: 0.098191 seconds
% 0.11/0.48 % CPU time: 0.393266 seconds
% 0.11/0.48 % Total memory used: 87.542 MB
% 0.11/0.48 % Net memory used: 87.182 MB
%------------------------------------------------------------------------------