%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : CSR018+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 23.65s 3.83s
% Output : Proof 23.65s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 11
% Syntax : Number of formulae : 63 ( 25 unt; 0 def)
% Number of atoms : 224 ( 111 equ)
% Maximal formula atoms : 20 ( 3 avg)
% Number of connectives : 256 ( 95 ~; 96 |; 58 &)
% ( 6 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 8 con; 0-2 aty)
% Number of variables : 70 ( 1 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(p570,plain,
( X1 = n2
| X0 = pull
| X1 = n0
| ~ happens(X0,X1) ),
inference(factoring,[status(thm)],[c177]) ).
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(c53,plain,
( happens(push,X2)
| X1 != backwards
| X0 != pull
| initiates(X0,X1,X2) ),
inference(cnf_transformation,[status(esa)],[f12_sk]) ).
cnf(p390,plain,
( happens(push,X1)
| X0 != backwards
| initiates(pull,X0,X1) ),
inference(equality_resolution,[status(thm)],[c53]) ).
cnf(p811,plain,
( happens(push,X0)
| initiates(pull,backwards,X0) ),
inference(equality_resolution,[status(thm)],[p390]) ).
cnf(c185,plain,
( X1 != n1
| X0 != pull
| happens(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f15_sk]) ).
cnf(p533,plain,
( X0 != n1
| happens(pull,X0) ),
inference(equality_resolution,[status(thm)],[c185]) ).
cnf(p535,plain,
happens(pull,n1),
inference(equality_resolution,[status(thm)],[p533]) ).
fof(f8,axiom,
! [Event,Time,Fluent] :
( ( initiates(Event,Fluent,Time)
& happens(Event,Time) )
=> holdsAt(Fluent,plus(Time,n1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',happens_holds) ).
fof(f8_nnf,plain,
! [Event,Time,Fluent] :
( holdsAt(Fluent,plus(Time,n1))
| ~ initiates(Event,Fluent,Time)
| ~ happens(Event,Time) ),
inference(nnf_transformation,[status(thm)],[f8]) ).
fof(f8_sk,plain,
! [Event,Time,Fluent] :
( holdsAt(Fluent,plus(Time,n1))
| ~ initiates(Event,Fluent,Time)
| ~ happens(Event,Time) ),
inference(skolemisation,[status(esa)],[f8_nnf]) ).
cnf(c20,plain,
( holdsAt(X2,plus(X1,n1))
| ~ initiates(X0,X2,X1)
| ~ happens(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f8_sk]) ).
cnf(p541,plain,
( holdsAt(X0,n2)
| ~ initiates(pull,X0,n1) ),
inference(resolution,[status(thm)],[p535,c20]) ).
cnf(p812,plain,
( holdsAt(backwards,n2)
| happens(push,n1) ),
inference(resolution,[status(thm)],[p811,p541]) ).
fof(f47,conjecture,
holdsAt(backwards,n2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',backwards_2) ).
fof(f47_neg,negated_conjecture,
~ holdsAt(backwards,n2),
inference(negated_conjecture,[status(cth)],[f47]) ).
fof(f47_nnf,plain,
~ holdsAt(backwards,n2),
inference(nnf_transformation,[status(thm)],[f47_neg]) ).
fof(f47_sk,plain,
~ holdsAt(backwards,n2),
inference(skolemisation,[status(esa)],[f47_nnf]) ).
cnf(c232,plain,
~ holdsAt(backwards,n2),
inference(cnf_transformation,[status(esa)],[f47_sk]) ).
cnf(p813,plain,
happens(push,n1),
inference(resolution,[status(thm)],[p812,c232]) ).
cnf(p926,plain,
( n1 = n2
| push = pull
| n1 = n0 ),
inference(resolution,[status(thm)],[p570,p813]) ).
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(p1173,plain,
( n1 = n2
| n1 = n0 ),
inference(resolution,[status(thm)],[p926,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(p1178,plain,
( n2 = n1
| n1 = n0 ),
inference(superposition,[status(thm)],[p1173,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(p235,plain,
less_or_equal(X0,X0),
inference(equality_resolution,[status(thm)],[c205]) ).
cnf(p239,plain,
less(n1,n2),
inference(resolution,[status(thm)],[c210,p235]) ).
cnf(p399,plain,
n2 != n1,
inference(resolution,[status(thm)],[c226,p239]) ).
cnf(p1217,plain,
n1 = n0,
inference(resolution,[status(thm)],[p1178,p399]) ).
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(p237,plain,
less(n0,n1),
inference(resolution,[status(thm)],[c208,p235]) ).
cnf(p1231,plain,
less(n0,n0),
inference(demodulation,[status(thm)],[p1217,p237]) ).
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(p1292,plain,
$false,
inference(resolution,[status(thm)],[p1231,c206]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR018+1 : TPTP v9.3.1. Bugfixed v3.1.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.10/0.37 % Computer : n001.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Fri Sep 25 08:13:10 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 23.65/3.83 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 23.65/3.83 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------