%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : GEO148+1 : TPTP v9.0.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n020.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 01:38:15 PM UTC 2025
% Result : Theorem 0.18s 0.35s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 3
% Syntax : Number of formulae : 17 ( 9 unt; 0 def)
% Number of atoms : 35 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 32 ( 14 ~; 8 |; 4 &)
% ( 1 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 28 ( 0 sgn 19 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t14,plain,
! [P,X,Y] :
( connect(X,Y,P)
=> ! [Q1,Q2] :
( ( ordered_by(trajectory_of(Y),Q2,P)
& ordered_by(trajectory_of(X),P,Q1) )
=> ~ once(at_the_same_time(at(X,Q1),at(Y,Q2))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t14) ).
fof(t14_negated,plain,
~ ! [P,X,Y] :
( connect(X,Y,P)
=> ! [Q1,Q2] :
( ( ordered_by(trajectory_of(Y),Q2,P)
& ordered_by(trajectory_of(X),P,Q1) )
=> ~ once(at_the_same_time(at(X,Q1),at(Y,Q2))) ) ),
inference(negate_conjecture,[status(cth)],[t14]) ).
cnf(105,plain,
connect(sK31,sK32,sK30),
inference(cnf,[status(esa)],[t14_negated]) ).
cnf(l0,plain,
connect(sK31,sK32,sK30),
inference(instantiation,[status(thm)],[105]) ).
fof(connect_defn,plain,
! [X,Y,P] :
( connect(X,Y,P)
<=> once(at_the_same_time(at(X,P),at(Y,P))) ),
file('Axioms/GEO004+3.ax',connect_defn) ).
cnf(91,plain,
( ~ connect(X0,X1,X2)
| once(at_the_same_time(at(X0,X2),at(X1,X2))) ),
inference(cnf,[status(esa)],[connect_defn]) ).
cnf(l1,plain,
( ~ connect(sK31,sK32,sK30)
| once(at_the_same_time(at(sK31,sK30),at(sK32,sK30))) ),
inference(instantiation,[status(thm)],[91]) ).
fof(homogeneous_behaviour,plain,
! [P1,P2,Q1,Q2,X,Y] :
( ( once(at_the_same_time(at(X,P1),at(Y,P2)))
& once(at_the_same_time(at(X,Q1),at(Y,Q2))) )
=> ~ ( ordered_by(trajectory_of(X),P1,Q1)
& ordered_by(trajectory_of(Y),Q2,P2) ) ),
file('Axioms/GEO004+3.ax',homogeneous_behaviour) ).
cnf(103,plain,
( ~ ordered_by(trajectory_of(X0),X1,X2)
| ~ ordered_by(trajectory_of(X3),X4,X5)
| ~ once(at_the_same_time(at(X0,X1),at(X3,X5)))
| ~ once(at_the_same_time(at(X0,X2),at(X3,X4))) ),
inference(cnf,[status(esa)],[homogeneous_behaviour]) ).
cnf(l8,plain,
( ~ ordered_by(trajectory_of(sK31),sK30,sK33)
| ~ ordered_by(trajectory_of(sK32),sK34,sK30)
| ~ once(at_the_same_time(at(sK31,sK30),at(sK32,sK30)))
| ~ once(at_the_same_time(at(sK31,sK33),at(sK32,sK34))) ),
inference(instantiation,[status(thm)],[103]) ).
cnf(107,plain,
ordered_by(trajectory_of(sK31),sK30,sK33),
inference(cnf,[status(esa)],[t14_negated]) ).
cnf(l16,plain,
ordered_by(trajectory_of(sK31),sK30,sK33),
inference(instantiation,[status(thm)],[107]) ).
cnf(106,plain,
ordered_by(trajectory_of(sK32),sK34,sK30),
inference(cnf,[status(esa)],[t14_negated]) ).
cnf(l17,plain,
ordered_by(trajectory_of(sK32),sK34,sK30),
inference(instantiation,[status(thm)],[106]) ).
cnf(108,plain,
once(at_the_same_time(at(sK31,sK33),at(sK32,sK34))),
inference(cnf,[status(esa)],[t14_negated]) ).
cnf(l9,plain,
once(at_the_same_time(at(sK31,sK33),at(sK32,sK34))),
inference(instantiation,[status(thm)],[108]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l8,l16,l17,l9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : GEO148+1 : TPTP v9.0.0. Released v2.4.0.
% 0.04/0.12 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n020.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 11:26:49 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.34 % launching worker at depth: 1
% 0.12/0.34 % launching worker at depth: 3
% 0.12/0.34 % launching worker at depth: 2
% 0.12/0.34 % launching worker at depth: 4
% 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
% 0.18/0.35 % launching worker at depth: 10
% 0.18/0.35 % SZS status Theorem for theBenchmark
% 0.18/0.35 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------