%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : CSR019+1 : TPTP v9.0.0. Bugfixed v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n025.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Jul 24 11:18:30 AM UTC 2025
% Result : Theorem 189.29s 24.07s
% Output : CNFRefutation 189.29s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 8
% Syntax : Number of formulae : 32 ( 13 unt; 0 def)
% Number of atoms : 92 ( 48 equ)
% Maximal formula atoms : 19 ( 2 avg)
% Number of connectives : 98 ( 38 ~; 37 |; 18 &)
% ( 4 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 3 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 : 29 ( 0 sgn 12 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(not_forwards_2,plain,
~ holdsAt(forwards,n2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_forwards_2) ).
fof(not_forwards_2_negated,plain,
~ ~ holdsAt(forwards,n2),
inference(negate_conjecture,[status(cth)],[not_forwards_2]) ).
cnf(118,plain,
holdsAt(forwards,n2),
inference(cnf,[status(esa)],[not_forwards_2_negated]) ).
cnf(l0,plain,
holdsAt(forwards,n2),
inference(instantiation,[status(thm)],[118]) ).
fof(happens_terminates_not_holds,plain,
! [Event,Time,Fluent] :
( ( happens(Event,Time)
& terminates(Event,Fluent,Time) )
=> ~ holdsAt(Fluent,plus(Time,n1)) ),
file('Axioms/CSR001+0.ax',happens_terminates_not_holds) ).
cnf(21,plain,
( ~ happens(X0,X1)
| ~ holdsAt(X2,plus(X1,n1))
| ~ terminates(X0,X2,X1) ),
inference(cnf,[status(esa)],[happens_terminates_not_holds]) ).
cnf(l3,plain,
( ~ happens(pull,n1)
| ~ holdsAt(forwards,plus(n1,n1))
| ~ terminates(pull,forwards,n1) ),
inference(instantiation,[status(thm)],[21]) ).
fof(terminates_all_defn,plain,
! [Event,Fluent,Time] :
( terminates(Event,Fluent,Time)
<=> ( ( Event = push
& Fluent = backwards
& ~ happens(pull,Time) )
| ( Event = pull
& Fluent = forwards
& ~ happens(push,Time) )
| ( Event = pull
& Fluent = forwards
& happens(push,Time) )
| ( Event = pull
& Fluent = backwards
& happens(push,Time) )
| ( Event = push
& Fluent = spinning
& ~ happens(pull,Time) )
| ( Event = pull
& Fluent = spinning
& ~ happens(push,Time) ) ) ),
file('Axioms/CSR001+2.ax',terminates_all_defn) ).
cnf(41,plain,
( X0 != pull
| X1 != forwards
| happens(push,X2)
| terminates(X0,X1,X2) ),
inference(cnf,[status(esa)],[terminates_all_defn]) ).
cnf(l17,plain,
( pull != pull
| forwards != forwards
| happens(push,n1)
| terminates(pull,forwards,n1) ),
inference(instantiation,[status(thm)],[41]) ).
fof(less_or_equal,plain,
! [X,Y] :
( less_or_equal(X,Y)
<=> ( less(X,Y)
| X = Y ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',less_or_equal) ).
cnf(89,plain,
( ~ less_or_equal(X0,X1)
| less(X0,X1)
| X0 = X1 ),
inference(cnf,[status(esa)],[less_or_equal]) ).
cnf(l2,plain,
( ~ less_or_equal(n2,plus(n1,n1))
| less(n2,plus(n1,n1))
| n2 = plus(n1,n1) ),
inference(instantiation,[status(thm)],[89]) ).
fof(plus0_1,plain,
plus(n0,n1) = n1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',plus0_1) ).
cnf(79,plain,
plus(n0,n1) = n1,
inference(cnf,[status(esa)],[plus0_1]) ).
cnf(l274,plain,
plus(n0,n1) = n1,
inference(instantiation,[status(thm)],[79]) ).
fof(less_property,plain,
! [X,Y] :
( less(X,Y)
<=> ( ~ less(Y,X)
& Y != X ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',less_property) ).
cnf(112,plain,
( ~ less(X0,X1)
| X1 != X0 ),
inference(cnf,[status(esa)],[less_property]) ).
cnf(l5,plain,
( ~ less(n2,plus(n1,n1))
| plus(n1,n1) != n2 ),
inference(instantiation,[status(thm)],[112]) ).
cnf(42,plain,
( ~ happens(push,X0)
| X1 != pull
| X2 != forwards
| terminates(X1,X2,X0) ),
inference(cnf,[status(esa)],[terminates_all_defn]) ).
cnf(l71,plain,
( ~ happens(push,n1)
| pull != pull
| forwards != forwards
| terminates(pull,forwards,n1) ),
inference(instantiation,[status(thm)],[42]) ).
cnf(91,plain,
( X0 != X1
| less_or_equal(X0,X1) ),
inference(cnf,[status(esa)],[less_or_equal]) ).
cnf(l380,plain,
( plus(n1,n1) != plus(n1,n1)
| less_or_equal(plus(n1,n1),plus(n1,n1)) ),
inference(instantiation,[status(thm)],[91]) ).
fof(plus1_1,plain,
plus(n1,n1) = n2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',plus1_1) ).
cnf(82,plain,
plus(n1,n1) = n2,
inference(cnf,[status(esa)],[plus1_1]) ).
cnf(l346,plain,
plus(n1,n1) = n2,
inference(instantiation,[status(thm)],[82]) ).
cnf(l215,plain,
plus(n1,n1) = n2,
inference(instantiation,[status(thm)],[82]) ).
fof(happens_all_defn,plain,
! [Event,Time] :
( happens(Event,Time)
<=> ( ( Event = push
& Time = n0 )
| ( Event = pull
& Time = n1 )
| ( Event = pull
& Time = n2 )
| ( Event = push
& Time = n2 ) ) ),
file('Axioms/CSR001+2.ax',happens_all_defn) ).
cnf(65,plain,
( X0 != pull
| X1 != n1
| happens(X0,X1) ),
inference(cnf,[status(esa)],[happens_all_defn]) ).
cnf(l295,plain,
( pull != pull
| plus(n0,n1) != n1
| happens(pull,plus(n0,n1)) ),
inference(instantiation,[status(thm)],[65]) ).
cnf(l502,plain,
plus(n0,n1) = n1,
inference(instantiation,[status(thm)],[79]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l3,l17,l2,l274,l5,l71,l380,l346,l215,l295,l502]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : CSR019+1 : TPTP v9.0.0. Bugfixed v3.1.0.
% 0.04/0.13 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.34 % Computer : n025.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sun Jul 20 06:30:04 EDT 2025
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % launching worker at depth: 1
% 0.13/0.35 % launching worker at depth: 2
% 0.13/0.35 % launching worker at depth: 6
% 0.13/0.35 % launching worker at depth: 4
% 0.13/0.35 % launching worker at depth: 5
% 0.13/0.35 % launching worker at depth: 3
% 0.13/0.35 % launching worker at depth: 7
% 0.13/0.35 % launching worker at depth: 8
% 0.13/0.35 % launching worker at depth: 9
% 0.13/0.35 % launching worker at depth: 10
% 0.20/0.39 % launching worker at depth: 11
% 5.07/0.98 % launching worker at depth: 12
% 189.29/24.07 % SZS status Theorem for theBenchmark
% 189.29/24.07 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------