%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : CSR020+1 : TPTP v9.3.1. Bugfixed v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/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 15.42s 2.83s
% Output : Proof 15.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 11
% Syntax : Number of formulae : 72 ( 27 unt; 0 def)
% Number of atoms : 287 ( 141 equ)
% Maximal formula atoms : 38 ( 3 avg)
% Number of connectives : 342 ( 127 ~; 126 |; 82 &)
% ( 6 <=>; 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 : 9 ( 9 usr; 8 con; 0-2 aty)
% Number of variables : 95 ( 7 sgn 44 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
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/sandbox/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(c177,plain,
( X1 = n2
| X0 = pull
| X0 = pull
| X1 = n0
| ~ happens(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f15_sk]) ).
cnf(p2719,plain,
( X1 = n2
| X0 = pull
| X1 = n0
| ~ happens(X0,X1) ),
inference(factoring,[status(thm)],[c177]) ).
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/sandbox/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(c158,plain,
( def33(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(p1440,plain,
( def33(X0,X1,X2)
| terminates(X0,X1,X2) ),
inference(resolution,[status(thm)],[p1438,c158]) ).
cnf(c154,plain,
( happens(push,X2)
| def32(X0,X1)
| ~ def33(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(p1443,plain,
( happens(push,X2)
| def32(X0,X1)
| terminates(X0,X1,X2) ),
inference(resolution,[status(thm)],[p1440,c154]) ).
fof(f9,axiom,
! [Event,Time,Fluent] :
( ( terminates(Event,Fluent,Time)
& happens(Event,Time) )
=> ~ holdsAt(Fluent,plus(Time,n1)) ),
file('/export/starexec/sandbox/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(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(p1455,plain,
( ~ holdsAt(X0,n2)
| happens(push,n1)
| def32(pull,X0) ),
inference(resolution,[status(thm)],[p1443,p1346]) ).
fof(f47,conjecture,
~ holdsAt(spinning,n2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_spinning_2) ).
fof(f47_neg,negated_conjecture,
~ ~ holdsAt(spinning,n2),
inference(negated_conjecture,[status(cth)],[f47]) ).
fof(f47_nnf,plain,
holdsAt(spinning,n2),
inference(nnf_transformation,[status(thm)],[f47_neg]) ).
cnf(c232,plain,
holdsAt(spinning,n2),
inference(cnf_transformation,[status(esa)],[f47_nnf]) ).
cnf(p1457,plain,
( happens(push,n1)
| def32(pull,spinning) ),
inference(resolution,[status(thm)],[p1455,c232]) ).
cnf(c151,plain,
( X1 != spinning
| X0 != pull
| ~ def32(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(p454,plain,
( X0 != spinning
| ~ def32(pull,X0) ),
inference(equality_resolution,[status(thm)],[c151]) ).
cnf(p456,plain,
~ def32(pull,spinning),
inference(equality_resolution,[status(thm)],[p454]) ).
cnf(p1461,plain,
happens(push,n1),
inference(resolution,[status(thm)],[p1457,p456]) ).
cnf(p2725,plain,
( n1 = n2
| push = pull
| n1 = n0 ),
inference(resolution,[status(thm)],[p2719,p1461]) ).
fof(f16,axiom,
push != pull,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',push_not_pull) ).
fof(f16_nnf,plain,
push != pull,
inference(nnf_transformation,[status(thm)],[f16]) ).
fof(f16_sk,plain,
push != pull,
inference(skolemisation,[status(esa)],[f16_nnf]) ).
cnf(c188,plain,
push != pull,
inference(cnf_transformation,[status(esa)],[f16_sk]) ).
cnf(p2727,plain,
( n1 = n2
| n1 = n0 ),
inference(resolution,[status(thm)],[p2725,c188]) ).
fof(f22,axiom,
plus(n0,n2) = n2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',plus0_2) ).
fof(f22_nnf,plain,
plus(n0,n2) = n2,
inference(nnf_transformation,[status(thm)],[f22]) ).
cnf(c194,plain,
plus(n0,n2) = n2,
inference(cnf_transformation,[status(esa)],[f22_nnf]) ).
cnf(p2730,plain,
( n2 = n1
| n1 = n0 ),
inference(superposition,[status(thm)],[p2727,c194]) ).
fof(f42,axiom,
! [X,Y] :
( less(X,Y)
<=> ( Y != X
& ~ less(Y,X) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',less_property) ).
fof(f42_nnf,plain,
! [X,Y] :
( ( Y = X
| less(Y,X)
| less(X,Y) )
& ( ( Y != X
& ~ less(Y,X) )
| ~ less(X,Y) ) ),
inference(nnf_transformation,[status(thm)],[f42]) ).
fof(f42_sk,plain,
! [X,Y] :
( ( Y = X
| less(Y,X)
| less(X,Y) )
& ( ( Y != X
& ~ less(Y,X) )
| ~ less(X,Y) ) ),
inference(skolemisation,[status(esa)],[f42_nnf]) ).
cnf(c226,plain,
( X1 != X0
| ~ less(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f42_sk]) ).
fof(f34,axiom,
! [X] :
( less(X,n2)
<=> less_or_equal(X,n1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',less2) ).
fof(f34_nnf,plain,
! [X] :
( ( ~ less_or_equal(X,n1)
| less(X,n2) )
& ( less_or_equal(X,n1)
| ~ less(X,n2) ) ),
inference(nnf_transformation,[status(thm)],[f34]) ).
fof(f34_sk,plain,
! [X] :
( ( ~ less_or_equal(X,n1)
| less(X,n2) )
& ( less_or_equal(X,n1)
| ~ less(X,n2) ) ),
inference(skolemisation,[status(esa)],[f34_nnf]) ).
cnf(c210,plain,
( ~ less_or_equal(X0,n1)
| less(X0,n2) ),
inference(cnf_transformation,[status(esa)],[f34_sk]) ).
fof(f31,axiom,
! [X,Y] :
( less_or_equal(X,Y)
<=> ( X = Y
| less(X,Y) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',less_or_equal) ).
fof(f31_nnf,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)],[f31]) ).
fof(f31_sk,plain,
! [X,Y] :
( ( ( X != Y
& ~ less(X,Y) )
| less_or_equal(X,Y) )
& ( X = Y
| less(X,Y)
| ~ less_or_equal(X,Y) ) ),
inference(skolemisation,[status(esa)],[f31_nnf]) ).
cnf(c205,plain,
( X0 != X1
| less_or_equal(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f31_sk]) ).
cnf(p233,plain,
less_or_equal(X0,X0),
inference(equality_resolution,[status(thm)],[c205]) ).
cnf(p237,plain,
less(n1,n2),
inference(resolution,[status(thm)],[c210,p233]) ).
cnf(p363,plain,
n2 != n1,
inference(resolution,[status(thm)],[c226,p237]) ).
cnf(p2822,plain,
n1 = n0,
inference(resolution,[status(thm)],[p2730,p363]) ).
fof(f33,axiom,
! [X] :
( less(X,n1)
<=> less_or_equal(X,n0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',less1) ).
fof(f33_nnf,plain,
! [X] :
( ( ~ less_or_equal(X,n0)
| less(X,n1) )
& ( less_or_equal(X,n0)
| ~ less(X,n1) ) ),
inference(nnf_transformation,[status(thm)],[f33]) ).
fof(f33_sk,plain,
! [X] :
( ( ~ less_or_equal(X,n0)
| less(X,n1) )
& ( less_or_equal(X,n0)
| ~ less(X,n1) ) ),
inference(skolemisation,[status(esa)],[f33_nnf]) ).
cnf(c208,plain,
( ~ less_or_equal(X0,n0)
| less(X0,n1) ),
inference(cnf_transformation,[status(esa)],[f33_sk]) ).
cnf(p235,plain,
less(n0,n1),
inference(resolution,[status(thm)],[c208,p233]) ).
cnf(p2837,plain,
less(n0,n0),
inference(demodulation,[status(thm)],[p2822,p235]) ).
fof(f32,axiom,
~ ? [X] : less(X,n0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',less0) ).
fof(f32_nnf,plain,
! [X] : ~ less(X,n0),
inference(nnf_transformation,[status(thm)],[f32]) ).
fof(f32_sk,plain,
! [X] : ~ less(X,n0),
inference(skolemisation,[status(esa)],[f32_nnf]) ).
cnf(c206,plain,
~ less(X0,n0),
inference(cnf_transformation,[status(esa)],[f32_sk]) ).
cnf(p2948,plain,
$false,
inference(resolution,[status(thm)],[p2837,c206]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR020+1 : TPTP v9.3.1. Bugfixed v3.1.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.13/0.58 % Computer : n001.cluster.edu
% 0.13/0.58 % Model : x86_64 x86_64
% 0.13/0.58 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.58 % Memory : 8046.5625MB
% 0.13/0.58 % OS : Linux 6.8.0-71-generic
% 0.13/0.58 % CPULimit : 300
% 0.13/0.58 % WCLimit : 300
% 0.13/0.58 % DateTime : Fri Sep 25 08:12:55 UTC 2026
% 0.13/0.58 % CPUTime :
% 0.13/0.58 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 15.42/2.83 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 15.42/2.83 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------