%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : CSR019+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 : n001.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 24.22s 3.94s
% Output : Proof 24.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 4
% Syntax : Number of formulae : 52 ( 12 unt; 0 def)
% Number of atoms : 233 ( 109 equ)
% Maximal formula atoms : 38 ( 4 avg)
% Number of connectives : 285 ( 104 ~; 109 |; 69 &)
% ( 2 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 16 ( 14 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 8 con; 0-2 aty)
% Number of variables : 104 ( 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(p420,plain,
def35(X0,X1,X2),
inference(resolution,[status(thm)],[c164,c166]) ).
cnf(p1438,plain,
( def34(X0,X1,X2)
| terminates(X0,X1,X2) ),
inference(resolution,[status(thm)],[c160,p420]) ).
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(p1439,plain,
( def31(X0,X1,X2)
| terminates(X0,X1,X2) ),
inference(resolution,[status(thm)],[p1438,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(p1441,plain,
( def28(X0,X1,X2)
| terminates(X0,X1,X2) ),
inference(resolution,[status(thm)],[p1439,c148]) ).
cnf(c139,plain,
( def25(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(p1444,plain,
( def25(X0,X1,X2)
| terminates(X0,X1,X2) ),
inference(resolution,[status(thm)],[p1441,c139]) ).
cnf(c130,plain,
( def22(X0,X1,X2)
| ~ def25(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(p1447,plain,
( def22(X0,X1,X2)
| terminates(X0,X1,X2) ),
inference(resolution,[status(thm)],[p1444,c130]) ).
cnf(c122,plain,
( def21(X0,X1,X2)
| ~ def22(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(p1451,plain,
( def21(X0,X1,X2)
| terminates(X0,X1,X2) ),
inference(resolution,[status(thm)],[p1447,c122]) ).
cnf(c118,plain,
( happens(push,X2)
| def20(X0,X1)
| ~ def21(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(p1454,plain,
( happens(push,X2)
| def20(X0,X1)
| terminates(X0,X1,X2) ),
inference(resolution,[status(thm)],[p1451,c118]) ).
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]) ).
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(c185,plain,
( X1 != n1
| X0 != pull
| happens(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f15_sk]) ).
cnf(p462,plain,
( X0 != n1
| happens(pull,X0) ),
inference(equality_resolution,[status(thm)],[c185]) ).
cnf(p464,plain,
happens(pull,n1),
inference(equality_resolution,[status(thm)],[p462]) ).
cnf(p1346,plain,
( ~ holdsAt(X0,n2)
| ~ terminates(pull,X0,n1) ),
inference(resolution,[status(thm)],[c21,p464]) ).
cnf(p1481,plain,
( ~ holdsAt(X0,n2)
| happens(push,n1)
| def20(pull,X0) ),
inference(resolution,[status(thm)],[p1454,p1346]) ).
fof(f47,conjecture,
~ holdsAt(forwards,n2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_forwards_2) ).
fof(f47_neg,negated_conjecture,
~ ~ holdsAt(forwards,n2),
inference(negated_conjecture,[status(cth)],[f47]) ).
fof(f47_nnf,plain,
holdsAt(forwards,n2),
inference(nnf_transformation,[status(thm)],[f47_neg]) ).
cnf(c232,plain,
holdsAt(forwards,n2),
inference(cnf_transformation,[status(esa)],[f47_nnf]) ).
cnf(p1483,plain,
( happens(push,n1)
| def20(pull,forwards) ),
inference(resolution,[status(thm)],[p1481,c232]) ).
cnf(c115,plain,
( X1 != forwards
| X0 != pull
| ~ def20(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(p442,plain,
( X0 != forwards
| ~ def20(pull,X0) ),
inference(equality_resolution,[status(thm)],[c115]) ).
cnf(p444,plain,
~ def20(pull,forwards),
inference(equality_resolution,[status(thm)],[p442]) ).
cnf(p1487,plain,
happens(push,n1),
inference(resolution,[status(thm)],[p1483,p444]) ).
cnf(c131,plain,
( def24(X0,X1,X2)
| ~ def25(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(p1448,plain,
( def24(X0,X1,X2)
| terminates(X0,X1,X2) ),
inference(resolution,[status(thm)],[p1444,c131]) ).
cnf(c127,plain,
( ~ happens(push,X2)
| def23(X0,X1)
| ~ def24(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(p1452,plain,
( ~ happens(push,X2)
| def23(X0,X1)
| terminates(X0,X1,X2) ),
inference(resolution,[status(thm)],[p1448,c127]) ).
cnf(p1495,plain,
( def23(X0,X1)
| terminates(X0,X1,n1) ),
inference(resolution,[status(thm)],[p1487,p1452]) ).
cnf(p1512,plain,
( ~ holdsAt(X0,n2)
| def23(pull,X0) ),
inference(resolution,[status(thm)],[p1495,p1346]) ).
cnf(p1515,plain,
def23(pull,forwards),
inference(resolution,[status(thm)],[p1512,c232]) ).
cnf(c124,plain,
( X1 != forwards
| X0 != pull
| ~ def23(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(p445,plain,
( X0 != forwards
| ~ def23(pull,X0) ),
inference(equality_resolution,[status(thm)],[c124]) ).
cnf(p447,plain,
~ def23(pull,forwards),
inference(equality_resolution,[status(thm)],[p445]) ).
cnf(p1519,plain,
$false,
inference(resolution,[status(thm)],[p1515,p447]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : CSR019+1 : TPTP v9.3.1. Bugfixed v3.1.0.
% 0.00/0.03 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.08/0.37 % Computer : n001.cluster.edu
% 0.08/0.37 % Model : x86_64 x86_64
% 0.08/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.37 % Memory : 8046.5625MB
% 0.08/0.37 % OS : Linux 6.8.0-71-generic
% 0.08/0.37 % CPULimit : 300
% 0.08/0.37 % WCLimit : 300
% 0.08/0.37 % DateTime : Fri Sep 25 08:13:10 UTC 2026
% 0.08/0.37 % CPUTime :
% 0.08/0.37 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 24.22/3.94 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 24.22/3.94 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------