%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : GEO147+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 : n031.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 2.46s 0.67s
% Output : CNFRefutation 2.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of formulae : 21 ( 4 unt; 0 def)
% Number of atoms : 41 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 35 ( 15 ~; 12 |; 3 &)
% ( 2 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 22 ( 2 sgn 13 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t13,plain,
! [P,X,Y] :
( connect(X,Y,P)
=> ( incident_o(P,trajectory_of(X))
& incident_o(P,trajectory_of(Y)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t13) ).
fof(t13_negated,plain,
~ ! [P,X,Y] :
( connect(X,Y,P)
=> ( incident_o(P,trajectory_of(X))
& incident_o(P,trajectory_of(Y)) ) ),
inference(negate_conjecture,[status(cth)],[t13]) ).
cnf(106,plain,
( ~ incident_o(sK30,trajectory_of(sK32))
| ~ incident_o(sK30,trajectory_of(sK31)) ),
inference(cnf,[status(esa)],[t13_negated]) ).
cnf(l0,plain,
( ~ incident_o(sK30,trajectory_of(sK32))
| ~ incident_o(sK30,trajectory_of(sK31)) ),
inference(instantiation,[status(thm)],[106]) ).
fof(at_on_trajectory,plain,
! [X,P] :
( once(at(X,P))
<=> incident_o(P,trajectory_of(X)) ),
file('Axioms/GEO004+3.ax',at_on_trajectory) ).
cnf(100,plain,
( ~ once(at(X0,X1))
| incident_o(X1,trajectory_of(X0)) ),
inference(cnf,[status(esa)],[at_on_trajectory]) ).
cnf(l134,plain,
( ~ once(at(sK31,sK30))
| incident_o(sK30,trajectory_of(sK31)) ),
inference(instantiation,[status(thm)],[100]) ).
fof(conjunction_at_the_same_time,plain,
! [A,B] :
( once(at_the_same_time(A,B))
=> ( once(A)
& once(B) ) ),
file('Axioms/GEO004+3.ax',conjunction_at_the_same_time) ).
cnf(98,plain,
( ~ once(at_the_same_time(X0,X1))
| once(X0) ),
inference(cnf,[status(esa)],[conjunction_at_the_same_time]) ).
cnf(l136,plain,
( ~ once(at_the_same_time(at(sK31,sK30),at(sK32,sK30)))
| once(at(sK31,sK30)) ),
inference(instantiation,[status(thm)],[98]) ).
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(l155,plain,
( ~ connect(sK31,sK32,sK30)
| once(at_the_same_time(at(sK31,sK30),at(sK32,sK30))) ),
inference(instantiation,[status(thm)],[91]) ).
cnf(105,plain,
connect(sK31,sK32,sK30),
inference(cnf,[status(esa)],[t13_negated]) ).
cnf(l158,plain,
connect(sK31,sK32,sK30),
inference(instantiation,[status(thm)],[105]) ).
cnf(l1,plain,
( ~ once(at(sK32,sK30))
| incident_o(sK30,trajectory_of(sK32)) ),
inference(instantiation,[status(thm)],[100]) ).
cnf(99,plain,
( ~ once(at_the_same_time(X0,X1))
| once(X1) ),
inference(cnf,[status(esa)],[conjunction_at_the_same_time]) ).
cnf(l2,plain,
( ~ once(at_the_same_time(at(sK31,sK30),at(sK32,sK30)))
| once(at(sK32,sK30)) ),
inference(instantiation,[status(thm)],[99]) ).
cnf(l4,plain,
( ~ connect(sK31,sK32,sK30)
| once(at_the_same_time(at(sK31,sK30),at(sK32,sK30))) ),
inference(instantiation,[status(thm)],[91]) ).
cnf(l10,plain,
connect(sK31,sK32,sK30),
inference(instantiation,[status(thm)],[105]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l134,l136,l155,l158,l1,l2,l4,l10]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GEO147+1 : TPTP v9.0.0. Released v2.4.0.
% 0.11/0.12 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.33 % Computer : n031.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Sun Jul 20 11:26:34 EDT 2025
% 0.13/0.33 % CPUTime :
% 0.13/0.34 % launching worker at depth: 2
% 0.13/0.34 % launching worker at depth: 8
% 0.13/0.34 % launching worker at depth: 3
% 0.13/0.34 % launching worker at depth: 4
% 0.13/0.34 % launching worker at depth: 5
% 0.13/0.34 % launching worker at depth: 6
% 0.13/0.34 % launching worker at depth: 7
% 0.13/0.34 % launching worker at depth: 1
% 0.13/0.34 % launching worker at depth: 9
% 0.13/0.35 % launching worker at depth: 10
% 0.19/0.47 % launching worker at depth: 11
% 2.46/0.67 % SZS status Theorem for theBenchmark
% 2.46/0.67 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------