%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : CSR017+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 : n013.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 26.48s 4.26s
% Output : Proof 26.48s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 12
% Syntax : Number of formulae : 71 ( 32 unt; 0 def)
% Number of atoms : 251 ( 124 equ)
% Maximal formula atoms : 20 ( 3 avg)
% Number of connectives : 271 ( 91 ~; 120 |; 55 &)
% ( 4 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 8 con; 0-2 aty)
% Number of variables : 64 ( 5 sgn 38 !; 3 ?)
% 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(c174,plain,
( X0 = push
| X1 = n2
| X1 = n1
| X0 = push
| ~ happens(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f15_sk]) ).
cnf(p884,plain,
( X1 = n2
| X1 = n1
| X0 = push
| ~ happens(X0,X1) ),
inference(factoring,[status(thm)],[c174]) ).
fof(f21,axiom,
plus(n0,n1) = n1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',plus0_1) ).
fof(f21_nnf,plain,
plus(n0,n1) = n1,
inference(nnf_transformation,[status(thm)],[f21]) ).
cnf(c193,plain,
plus(n0,n1) = n1,
inference(cnf_transformation,[status(esa)],[f21_nnf]) ).
fof(f5,axiom,
! [Fluent,Time] :
( ( ~ ? [Event] :
( initiates(Event,Fluent,Time)
& happens(Event,Time) )
& ~ releasedAt(Fluent,plus(Time,n1))
& ~ holdsAt(Fluent,Time) )
=> ~ holdsAt(Fluent,plus(Time,n1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',keep_not_holding) ).
fof(f5_nnf,plain,
! [Fluent,Time] :
( ~ holdsAt(Fluent,plus(Time,n1))
| ? [Event] :
( initiates(Event,Fluent,Time)
& happens(Event,Time) )
| releasedAt(Fluent,plus(Time,n1))
| holdsAt(Fluent,Time) ),
inference(nnf_transformation,[status(thm)],[f5]) ).
fof(f5_sk,plain,
! [Fluent,Time] :
( ~ holdsAt(Fluent,plus(Time,n1))
| ( initiates(sk5(Fluent,Time),Fluent,Time)
& happens(sk5(Fluent,Time),Time) )
| releasedAt(Fluent,plus(Time,n1))
| holdsAt(Fluent,Time) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk5])],[f5_nnf]) ).
cnf(c15,plain,
( ~ holdsAt(X0,plus(X1,n1))
| initiates(sk5(X0,X1),X0,X1)
| releasedAt(X0,plus(X1,n1))
| holdsAt(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f5_sk]) ).
cnf(p257,plain,
( ~ holdsAt(X0,n1)
| initiates(sk5(X0,n0),X0,n0)
| releasedAt(X0,n1)
| holdsAt(X0,n0) ),
inference(superposition,[status(thm)],[c193,c15]) ).
fof(f47,conjecture,
~ holdsAt(spinning,n1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_spinning_1) ).
fof(f47_neg,negated_conjecture,
~ ~ holdsAt(spinning,n1),
inference(negated_conjecture,[status(cth)],[f47]) ).
fof(f47_nnf,plain,
holdsAt(spinning,n1),
inference(nnf_transformation,[status(thm)],[f47_neg]) ).
cnf(c232,plain,
holdsAt(spinning,n1),
inference(cnf_transformation,[status(esa)],[f47_nnf]) ).
cnf(p1234,plain,
( initiates(sk5(spinning,n0),spinning,n0)
| releasedAt(spinning,n1)
| holdsAt(spinning,n0) ),
inference(resolution,[status(thm)],[p257,c232]) ).
fof(f12,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',initiates_all_defn) ).
fof(f12_nnf,plain,
! [Event,Fluent,Time] :
( ( ( ( ~ happens(push,Time)
| Fluent != spinning
| Event != pull )
& ( happens(push,Time)
| Fluent != backwards
| Event != pull )
& ( happens(pull,Time)
| Fluent != forwards
| Event != push ) )
| 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 )
| ~ initiates(Event,Fluent,Time) ) ),
inference(nnf_transformation,[status(thm)],[f12]) ).
fof(f12_sk,plain,
! [Event,Fluent,Time] :
( ( ( ( ~ happens(push,Time)
| Fluent != spinning
| Event != pull )
& ( happens(push,Time)
| Fluent != backwards
| Event != pull )
& ( happens(pull,Time)
| Fluent != forwards
| Event != push ) )
| 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 )
| ~ initiates(Event,Fluent,Time) ) ),
inference(skolemisation,[status(esa)],[f12_nnf]) ).
cnf(c34,plain,
( X0 = pull
| X0 = pull
| X1 = forwards
| ~ initiates(X0,X1,X2) ),
inference(cnf_transformation,[status(esa)],[f12_sk]) ).
cnf(p334,plain,
( X0 = pull
| X1 = forwards
| ~ initiates(X0,X1,X2) ),
inference(factoring,[status(thm)],[c34]) ).
cnf(p1252,plain,
( sk5(spinning,n0) = pull
| spinning = forwards
| releasedAt(spinning,n1)
| holdsAt(spinning,n0) ),
inference(resolution,[status(thm)],[p1234,p334]) ).
cnf(c14,plain,
( ~ holdsAt(X0,plus(X1,n1))
| happens(sk5(X0,X1),X1)
| releasedAt(X0,plus(X1,n1))
| holdsAt(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f5_sk]) ).
cnf(p247,plain,
( ~ holdsAt(X0,n1)
| happens(sk5(X0,n0),n0)
| releasedAt(X0,n1)
| holdsAt(X0,n0) ),
inference(superposition,[status(thm)],[c193,c14]) ).
cnf(p1227,plain,
( happens(sk5(spinning,n0),n0)
| releasedAt(spinning,n1)
| holdsAt(spinning,n0) ),
inference(resolution,[status(thm)],[p247,c232]) ).
cnf(p1262,plain,
( happens(pull,n0)
| releasedAt(spinning,n1)
| holdsAt(spinning,n0)
| spinning = forwards
| releasedAt(spinning,n1)
| holdsAt(spinning,n0) ),
inference(superposition,[status(thm)],[p1252,p1227]) ).
cnf(p1401,plain,
( happens(pull,n0)
| releasedAt(spinning,n1)
| spinning = forwards
| releasedAt(spinning,n1)
| holdsAt(spinning,n0) ),
inference(factoring,[status(thm)],[p1262]) ).
cnf(p1403,plain,
( happens(pull,n0)
| spinning = forwards
| releasedAt(spinning,n1)
| holdsAt(spinning,n0) ),
inference(factoring,[status(thm)],[p1401]) ).
fof(f46,hypothesis,
! [Fluent,Time] : ~ releasedAt(Fluent,Time),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_releasedAt) ).
fof(f46_nnf,plain,
! [Fluent,Time] : ~ releasedAt(Fluent,Time),
inference(nnf_transformation,[status(thm)],[f46]) ).
fof(f46_sk,plain,
! [Fluent,Time] : ~ releasedAt(Fluent,Time),
inference(skolemisation,[status(esa)],[f46_nnf]) ).
cnf(c231,plain,
~ releasedAt(X0,X1),
inference(cnf_transformation,[status(esa)],[f46_sk]) ).
cnf(p1404,plain,
( happens(pull,n0)
| spinning = forwards
| holdsAt(spinning,n0) ),
inference(resolution,[status(thm)],[p1403,c231]) ).
fof(f45,hypothesis,
~ holdsAt(spinning,n0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_splinning_0) ).
fof(f45_nnf,plain,
~ holdsAt(spinning,n0),
inference(nnf_transformation,[status(thm)],[f45]) ).
fof(f45_sk,plain,
~ holdsAt(spinning,n0),
inference(skolemisation,[status(esa)],[f45_nnf]) ).
cnf(c230,plain,
~ holdsAt(spinning,n0),
inference(cnf_transformation,[status(esa)],[f45_sk]) ).
cnf(p1405,plain,
( happens(pull,n0)
| spinning = forwards ),
inference(resolution,[status(thm)],[p1404,c230]) ).
cnf(p1750,plain,
( spinning = forwards
| n0 = n2
| n0 = n1
| pull = push ),
inference(resolution,[status(thm)],[p884,p1405]) ).
fof(f18,axiom,
forwards != spinning,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',forwards_not_spinning) ).
fof(f18_nnf,plain,
forwards != spinning,
inference(nnf_transformation,[status(thm)],[f18]) ).
fof(f18_sk,plain,
forwards != spinning,
inference(skolemisation,[status(esa)],[f18_nnf]) ).
cnf(c190,plain,
forwards != spinning,
inference(cnf_transformation,[status(esa)],[f18_sk]) ).
cnf(p1752,plain,
( forwards != forwards
| n0 = n2
| n0 = n1
| pull = push ),
inference(superposition,[status(thm)],[p1750,c190]) ).
cnf(p2354,plain,
( n0 = n2
| n0 = n1
| pull = push ),
inference(equality_resolution,[status(thm)],[p1752]) ).
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(p2356,plain,
( push != push
| n0 = n2
| n0 = n1 ),
inference(superposition,[status(thm)],[p2354,c188]) ).
cnf(p2415,plain,
( n0 = n2
| n0 = n1 ),
inference(equality_resolution,[status(thm)],[p2356]) ).
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(p235,plain,
less_or_equal(X0,X0),
inference(equality_resolution,[status(thm)],[c205]) ).
cnf(p261,plain,
less(n1,n2),
inference(resolution,[status(thm)],[c210,p235]) ).
cnf(p2421,plain,
( less(n1,n0)
| n0 = n1 ),
inference(superposition,[status(thm)],[p2415,p261]) ).
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(p2817,plain,
n0 = n1,
inference(resolution,[status(thm)],[p2421,c206]) ).
cnf(p2818,plain,
holdsAt(spinning,n0),
inference(superposition,[status(thm)],[p2817,c232]) ).
cnf(p2954,plain,
$false,
inference(resolution,[status(thm)],[p2818,c230]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR017+1 : TPTP v9.3.1. Bugfixed v3.1.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.09/0.34 % Computer : n013.cluster.edu
% 0.09/0.34 % Model : x86_64 x86_64
% 0.09/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.34 % Memory : 8046.5625MB
% 0.09/0.34 % OS : Linux 6.8.0-71-generic
% 0.09/0.34 % CPULimit : 300
% 0.09/0.34 % WCLimit : 300
% 0.09/0.34 % DateTime : Fri Sep 25 08:07:06 UTC 2026
% 0.09/0.34 % CPUTime :
% 0.09/0.34 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 26.48/4.26 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 26.48/4.26 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------