%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : GEO087+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 : n019.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 01:38:06 PM UTC 2025
% Result : Theorem 28.69s 3.93s
% Output : CNFRefutation 28.69s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 5
% Syntax : Number of formulae : 24 ( 10 unt; 0 def)
% Number of atoms : 51 ( 0 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 48 ( 21 ~; 15 |; 5 &)
% ( 3 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-1 aty)
% Number of variables : 29 ( 1 sgn 14 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(corollary_2_9,plain,
! [C1,C2] :
( part_of(C1,C2)
=> ~ ? [P] : meet(P,C1,C2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',corollary_2_9) ).
fof(corollary_2_9_negated,plain,
~ ! [C1,C2] :
( part_of(C1,C2)
=> ~ ? [P] : meet(P,C1,C2) ),
inference(negate_conjecture,[status(cth)],[corollary_2_9]) ).
cnf(45,plain,
part_of(sK15,sK16),
inference(cnf,[status(esa)],[corollary_2_9_negated]) ).
cnf(l0,plain,
part_of(sK15,sK16),
inference(instantiation,[status(thm)],[45]) ).
fof(part_of_defn,plain,
! [C,C1] :
( part_of(C1,C)
<=> ! [P] :
( incident_c(P,C1)
=> incident_c(P,C) ) ),
file('Axioms/GEO004+0.ax',part_of_defn) ).
cnf(0,plain,
( ~ part_of(X0,X1)
| ~ incident_c(X2,X0)
| incident_c(X2,X1) ),
inference(cnf,[status(esa)],[part_of_defn]) ).
cnf(l1,plain,
( ~ part_of(sK15,sK16)
| ~ incident_c(sK9(sK15),sK15)
| incident_c(sK9(sK15),sK16) ),
inference(instantiation,[status(thm)],[0]) ).
fof(meet_defn,plain,
! [P,C,C1] :
( meet(P,C,C1)
<=> ( incident_c(P,C)
& incident_c(P,C1)
& ! [Q] :
( ( incident_c(Q,C)
& incident_c(Q,C1) )
=> ( end_point(Q,C)
& end_point(Q,C1) ) ) ) ),
file('Axioms/GEO004+0.ax',meet_defn) ).
cnf(24,plain,
( ~ incident_c(X0,X1)
| ~ incident_c(X0,X2)
| ~ meet(X3,X1,X2)
| end_point(X0,X1) ),
inference(cnf,[status(esa)],[meet_defn]) ).
cnf(l463,plain,
( ~ incident_c(sK9(sK15),sK15)
| ~ incident_c(sK9(sK15),sK16)
| ~ meet(sK17,sK15,sK16)
| end_point(sK9(sK15),sK15) ),
inference(instantiation,[status(thm)],[24]) ).
fof(inner_point_defn,plain,
! [P,C] :
( inner_point(P,C)
<=> ( incident_c(P,C)
& ~ end_point(P,C) ) ),
file('Axioms/GEO004+0.ax',inner_point_defn) ).
cnf(19,plain,
( ~ inner_point(X0,X1)
| incident_c(X0,X1) ),
inference(cnf,[status(esa)],[inner_point_defn]) ).
cnf(l471,plain,
( ~ inner_point(sK9(sK15),sK15)
| incident_c(sK9(sK15),sK15) ),
inference(instantiation,[status(thm)],[19]) ).
fof(c3,plain,
! [C] :
? [P] : inner_point(P,C),
file('Axioms/GEO004+0.ax',c3) ).
cnf(35,plain,
inner_point(sK9(X0),X0),
inference(cnf,[status(esa)],[c3]) ).
cnf(l472,plain,
inner_point(sK9(sK15),sK15),
inference(instantiation,[status(thm)],[35]) ).
cnf(l468,plain,
( ~ inner_point(sK9(sK15),sK15)
| incident_c(sK9(sK15),sK15) ),
inference(instantiation,[status(thm)],[19]) ).
cnf(l484,plain,
inner_point(sK9(sK15),sK15),
inference(instantiation,[status(thm)],[35]) ).
cnf(46,plain,
meet(sK17,sK15,sK16),
inference(cnf,[status(esa)],[corollary_2_9_negated]) ).
cnf(l467,plain,
meet(sK17,sK15,sK16),
inference(instantiation,[status(thm)],[46]) ).
cnf(20,plain,
( ~ end_point(X0,X1)
| ~ inner_point(X0,X1) ),
inference(cnf,[status(esa)],[inner_point_defn]) ).
cnf(l1032,plain,
( ~ end_point(sK9(sK15),sK15)
| ~ inner_point(sK9(sK15),sK15) ),
inference(instantiation,[status(thm)],[20]) ).
cnf(l1073,plain,
inner_point(sK9(sK15),sK15),
inference(instantiation,[status(thm)],[35]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l463,l471,l472,l468,l484,l467,l1032,l1073]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : GEO087+1 : TPTP v9.0.0. Released v2.4.0.
% 0.03/0.13 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.34 % Computer : n019.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Sun Jul 20 10:59:49 EDT 2025
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % launching worker at depth: 1
% 0.14/0.35 % launching worker at depth: 3
% 0.14/0.35 % launching worker at depth: 2
% 0.14/0.35 % launching worker at depth: 5
% 0.14/0.35 % launching worker at depth: 6
% 0.14/0.35 % launching worker at depth: 7
% 0.14/0.35 % launching worker at depth: 4
% 0.14/0.35 % launching worker at depth: 8
% 0.14/0.35 % launching worker at depth: 9
% 0.14/0.36 % launching worker at depth: 10
% 1.75/0.60 % launching worker at depth: 11
% 28.69/3.93 % SZS status Theorem for theBenchmark
% 28.69/3.93 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------