%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : CSR021+1 : TPTP v9.3.1. Bugfixed v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n002.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 : Fri Sep 25 01:05:12 PM UTC 2026
% Result : Theorem 24.33s 9.04s
% Output : Proof 24.33s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 4
% Syntax : Number of formulae : 41 ( 11 unt; 0 def)
% Number of atoms : 209 ( 109 equ)
% Maximal formula atoms : 38 ( 5 avg)
% Number of connectives : 264 ( 96 ~; 96 |; 69 &)
% ( 2 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 12 ( 10 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 9 con; 0-2 aty)
% Number of variables : 79 ( 6 sgn 24 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f13,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',terminates_all_defn) ).
fof(f13_nnf,plain,
! [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 ) )
| 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 )
| ~ terminates(Event,Fluent,Time) ) ),
inference(nnf_transformation,[status(thm)],[f13]) ).
fof(f13_sk,plain,
! [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 ) )
| 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 )
| ~ terminates(Event,Fluent,Time) ) ),
inference(skolemisation,[status(esa)],[f13_nnf]) ).
cnf(c160,plain,
( def34(X0,X1,X2)
| terminates(X0,X1,X2)
| ~ def35(X0,X1,X2) ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36])],[f13_sk]) ).
cnf(c164,plain,
( def35(X0,X1,X2)
| ~ def36(X0,X1,X2) ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36])],[f13_sk]) ).
cnf(c166,plain,
def36(X0,X1,X2),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36])],[f13_sk]) ).
cnf(p504,plain,
def35(X0,X1,X2),
inference(resolution,[status(thm)],[c164,c166]) ).
cnf(p538,plain,
( def34(X0,X1,X2)
| terminates(X0,X1,X2) ),
inference(resolution,[status(thm)],[c160,p504]) ).
cnf(c157,plain,
( def31(X0,X1,X2)
| ~ def34(X0,X1,X2) ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36])],[f13_sk]) ).
cnf(p548,plain,
( def31(X0,X1,X2)
| terminates(X0,X1,X2) ),
inference(resolution,[status(thm)],[p538,c157]) ).
cnf(c148,plain,
( def28(X0,X1,X2)
| ~ def31(X0,X1,X2) ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36])],[f13_sk]) ).
cnf(p556,plain,
( def28(X0,X1,X2)
| terminates(X0,X1,X2) ),
inference(resolution,[status(thm)],[p548,c148]) ).
cnf(c140,plain,
( def27(X0,X1,X2)
| ~ def28(X0,X1,X2) ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36])],[f13_sk]) ).
cnf(p561,plain,
( def27(X0,X1,X2)
| terminates(X0,X1,X2) ),
inference(resolution,[status(thm)],[p556,c140]) ).
cnf(c136,plain,
( ~ happens(push,X2)
| def26(X0,X1)
| ~ def27(X0,X1,X2) ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36])],[f13_sk]) ).
cnf(p565,plain,
( ~ happens(push,X2)
| def26(X0,X1)
| terminates(X0,X1,X2) ),
inference(resolution,[status(thm)],[p561,c136]) ).
fof(f15,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',happens_all_defn) ).
fof(f15_nnf,plain,
! [Event,Time] :
( ( ( ( Time != n2
| Event != push )
& ( Time != n2
| Event != pull )
& ( Time != n1
| Event != pull )
& ( Time != n0
| Event != push ) )
| happens(Event,Time) )
& ( ( Time = n2
& Event = push )
| ( Time = n2
& Event = pull )
| ( Time = n1
& Event = pull )
| ( Time = n0
& Event = push )
| ~ happens(Event,Time) ) ),
inference(nnf_transformation,[status(thm)],[f15]) ).
fof(f15_sk,plain,
! [Event,Time] :
( ( ( ( Time != n2
| Event != push )
& ( Time != n2
| Event != pull )
& ( Time != n1
| Event != pull )
& ( Time != n0
| Event != push ) )
| happens(Event,Time) )
& ( ( Time = n2
& Event = push )
| ( Time = n2
& Event = pull )
| ( Time = n1
& Event = pull )
| ( Time = n0
& Event = push )
| ~ happens(Event,Time) ) ),
inference(skolemisation,[status(esa)],[f15_nnf]) ).
cnf(c187,plain,
( X1 != n2
| X0 != push
| happens(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f15_sk]) ).
cnf(p600,plain,
( X0 != n2
| happens(push,X0) ),
inference(equality_resolution,[status(thm)],[c187]) ).
cnf(p602,plain,
happens(push,n2),
inference(equality_resolution,[status(thm)],[p600]) ).
cnf(p1002,plain,
( def26(X0,X1)
| terminates(X0,X1,n2) ),
inference(resolution,[status(thm)],[p565,p602]) ).
cnf(c186,plain,
( X1 != n2
| X0 != pull
| happens(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f15_sk]) ).
cnf(p573,plain,
( X0 != n2
| happens(pull,X0) ),
inference(equality_resolution,[status(thm)],[c186]) ).
cnf(p575,plain,
happens(pull,n2),
inference(equality_resolution,[status(thm)],[p573]) ).
fof(f9,axiom,
! [Event,Time,Fluent] :
( ( terminates(Event,Fluent,Time)
& happens(Event,Time) )
=> ~ holdsAt(Fluent,plus(Time,n1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',happens_terminates_not_holds) ).
fof(f9_nnf,plain,
! [Event,Time,Fluent] :
( ~ holdsAt(Fluent,plus(Time,n1))
| ~ terminates(Event,Fluent,Time)
| ~ happens(Event,Time) ),
inference(nnf_transformation,[status(thm)],[f9]) ).
fof(f9_sk,plain,
! [Event,Time,Fluent] :
( ~ holdsAt(Fluent,plus(Time,n1))
| ~ terminates(Event,Fluent,Time)
| ~ happens(Event,Time) ),
inference(skolemisation,[status(esa)],[f9_nnf]) ).
cnf(c21,plain,
( ~ holdsAt(X2,plus(X1,n1))
| ~ terminates(X0,X2,X1)
| ~ happens(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f9_sk]) ).
cnf(p581,plain,
( ~ holdsAt(X0,n3)
| ~ terminates(pull,X0,n2) ),
inference(resolution,[status(thm)],[p575,c21]) ).
cnf(p1009,plain,
( ~ holdsAt(X0,n3)
| def26(pull,X0) ),
inference(resolution,[status(thm)],[p1002,p581]) ).
fof(f47,conjecture,
~ holdsAt(backwards,n3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_backwards_3) ).
fof(f47_neg,negated_conjecture,
~ ~ holdsAt(backwards,n3),
inference(negated_conjecture,[status(cth)],[f47]) ).
fof(f47_nnf,plain,
holdsAt(backwards,n3),
inference(nnf_transformation,[status(thm)],[f47_neg]) ).
cnf(c232,plain,
holdsAt(backwards,n3),
inference(cnf_transformation,[status(esa)],[f47_nnf]) ).
cnf(p1017,plain,
def26(pull,backwards),
inference(resolution,[status(thm)],[p1009,c232]) ).
cnf(c133,plain,
( X1 != backwards
| X0 != pull
| ~ def26(X0,X1) ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36])],[f13_sk]) ).
cnf(p508,plain,
( X0 != backwards
| ~ def26(pull,X0) ),
inference(equality_resolution,[status(thm)],[c133]) ).
cnf(p510,plain,
~ def26(pull,backwards),
inference(equality_resolution,[status(thm)],[p508]) ).
cnf(p1022,plain,
$false,
inference(resolution,[status(thm)],[p1017,p510]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : CSR021+1 : TPTP v9.3.1. Bugfixed v3.1.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.10/5.39 % Computer : n002.cluster.edu
% 0.10/5.39 % Model : x86_64 x86_64
% 0.10/5.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.39 % Memory : 8046.5625MB
% 0.10/5.39 % OS : Linux 6.8.0-71-generic
% 0.10/5.39 % CPULimit : 300
% 0.10/5.39 % WCLimit : 300
% 0.10/5.39 % DateTime : Fri Sep 25 08:09:56 UTC 2026
% 0.10/5.39 % CPUTime :
% 0.10/5.39 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 24.33/9.04 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 24.33/9.04 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------