%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : CSR023+1 : TPTP v9.0.0. Bugfixed v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n021.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 11:18:31 AM UTC 2025
% Result : Theorem 8.30s 1.39s
% Output : CNFRefutation 8.30s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 9
% Syntax : Number of formulae : 36 ( 17 unt; 0 def)
% Number of atoms : 85 ( 44 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 82 ( 33 ~; 32 |; 12 &)
% ( 4 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 9 con; 0-2 aty)
% Number of variables : 32 ( 0 sgn 14 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(spinning_3,plain,
holdsAt(spinning,n3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',spinning_3) ).
fof(spinning_3_negated,plain,
~ holdsAt(spinning,n3),
inference(negate_conjecture,[status(cth)],[spinning_3]) ).
cnf(118,plain,
~ holdsAt(spinning,n3),
inference(cnf,[status(esa)],[spinning_3_negated]) ).
cnf(l0,plain,
~ holdsAt(spinning,n3),
inference(instantiation,[status(thm)],[118]) ).
fof(happens_holds,plain,
! [Event,Time,Fluent] :
( ( happens(Event,Time)
& initiates(Event,Fluent,Time) )
=> holdsAt(Fluent,plus(Time,n1)) ),
file('Axioms/CSR001+0.ax',happens_holds) ).
cnf(20,plain,
( ~ happens(X0,X1)
| ~ initiates(X0,X2,X1)
| holdsAt(X2,plus(X1,n1)) ),
inference(cnf,[status(esa)],[happens_holds]) ).
cnf(l5,plain,
( ~ happens(pull,n2)
| ~ initiates(pull,spinning,n2)
| holdsAt(spinning,plus(n2,n1)) ),
inference(instantiation,[status(thm)],[20]) ).
fof(less_or_equal,plain,
! [X,Y] :
( less_or_equal(X,Y)
<=> ( less(X,Y)
| X = Y ) ),
file('/export/starexec/sandbox2/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(l293,plain,
( ~ less_or_equal(plus(n2,n1),n3)
| less(plus(n2,n1),n3)
| plus(n2,n1) = n3 ),
inference(instantiation,[status(thm)],[89]) ).
cnf(91,plain,
( X0 != X1
| less_or_equal(X0,X1) ),
inference(cnf,[status(esa)],[less_or_equal]) ).
cnf(l343,plain,
( plus(n1,n2) != n3
| less_or_equal(plus(n1,n2),n3) ),
inference(instantiation,[status(thm)],[91]) ).
fof(initiates_all_defn,plain,
! [Event,Fluent,Time] :
( initiates(Event,Fluent,Time)
<=> ( ( Event = push
& Fluent = forwards
& ~ happens(pull,Time) )
| ( Event = pull
& Fluent = backwards
& ~ happens(push,Time) )
| ( Event = pull
& Fluent = spinning
& happens(push,Time) ) ) ),
file('Axioms/CSR001+2.ax',initiates_all_defn) ).
cnf(30,plain,
( ~ happens(push,X0)
| X1 != pull
| X2 != spinning
| initiates(X1,X2,X0) ),
inference(cnf,[status(esa)],[initiates_all_defn]) ).
cnf(l8,plain,
( ~ happens(push,n2)
| pull != pull
| spinning != spinning
| initiates(pull,spinning,n2) ),
inference(instantiation,[status(thm)],[30]) ).
fof(plus1_2,plain,
plus(n1,n2) = n3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',plus1_2) ).
cnf(83,plain,
plus(n1,n2) = n3,
inference(cnf,[status(esa)],[plus1_2]) ).
cnf(l344,plain,
plus(n1,n2) = n3,
inference(instantiation,[status(thm)],[83]) ).
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(66,plain,
( X0 != pull
| X1 != n2
| happens(X0,X1) ),
inference(cnf,[status(esa)],[happens_all_defn]) ).
cnf(l213,plain,
( pull != pull
| plus(n0,n2) != n2
| happens(pull,plus(n0,n2)) ),
inference(instantiation,[status(thm)],[66]) ).
fof(symmetry_of_plus,plain,
! [X,Y] : plus(X,Y) = plus(Y,X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',symmetry_of_plus) ).
cnf(88,plain,
plus(X0,X1) = plus(X1,X0),
inference(cnf,[status(esa)],[symmetry_of_plus]) ).
cnf(l304,plain,
plus(n2,n1) = plus(n1,n2),
inference(instantiation,[status(thm)],[88]) ).
fof(plus0_2,plain,
plus(n0,n2) = n2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',plus0_2) ).
cnf(80,plain,
plus(n0,n2) = n2,
inference(cnf,[status(esa)],[plus0_2]) ).
cnf(l322,plain,
plus(n0,n2) = n2,
inference(instantiation,[status(thm)],[80]) ).
cnf(67,plain,
( X0 != push
| X1 != n2
| happens(X0,X1) ),
inference(cnf,[status(esa)],[happens_all_defn]) ).
cnf(l98,plain,
( push != push
| n2 != n2
| happens(push,n2) ),
inference(instantiation,[status(thm)],[67]) ).
fof(less_property,plain,
! [X,Y] :
( less(X,Y)
<=> ( ~ less(Y,X)
& Y != X ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less_property) ).
cnf(111,plain,
( ~ less(X0,X1)
| ~ less(X1,X0) ),
inference(cnf,[status(esa)],[less_property]) ).
cnf(l415,plain,
( ~ less(plus(n1,n2),plus(n1,n2))
| ~ less(plus(n1,n2),plus(n1,n2)) ),
inference(instantiation,[status(thm)],[111]) ).
cnf(l316,plain,
plus(n1,n2) = plus(n2,n1),
inference(instantiation,[status(thm)],[88]) ).
cnf(l242,plain,
plus(n0,n2) = n2,
inference(instantiation,[status(thm)],[80]) ).
cnf(l310,plain,
plus(n1,n2) = n3,
inference(instantiation,[status(thm)],[83]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l5,l293,l343,l8,l344,l213,l304,l322,l98,l415,l316,l242,l310]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.11 % Problem : CSR023+1 : TPTP v9.0.0. Bugfixed v3.1.0.
% 0.04/0.12 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n021.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Sun Jul 20 06:29:19 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.34 % launching worker at depth: 1
% 0.12/0.34 % launching worker at depth: 4
% 0.12/0.34 % launching worker at depth: 2
% 0.12/0.34 % launching worker at depth: 3
% 0.12/0.34 % launching worker at depth: 5
% 0.12/0.34 % launching worker at depth: 6
% 0.12/0.34 % launching worker at depth: 7
% 0.12/0.34 % launching worker at depth: 8
% 0.12/0.34 % launching worker at depth: 9
% 0.12/0.34 % launching worker at depth: 10
% 0.18/0.36 % launching worker at depth: 11
% 0.18/0.48 % launching worker at depth: 12
% 8.30/1.39 % SZS status Theorem for theBenchmark
% 8.30/1.39 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------