%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : GEO124+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 : n022.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 01:38:11 PM UTC 2025
% Result : Theorem 108.43s 13.93s
% Output : CNFRefutation 108.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 6
% Syntax : Number of formulae : 31 ( 9 unt; 0 def)
% Number of atoms : 78 ( 13 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 76 ( 29 ~; 26 |; 12 &)
% ( 5 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 1 prp; 0-4 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-4 aty)
% Number of variables : 47 ( 3 sgn 25 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(corollary_4_10_1,plain,
! [O,P,Q] :
( ( start_point(P,O)
& start_point(Q,O) )
=> P = Q ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',corollary_4_10_1) ).
fof(corollary_4_10_1_negated,plain,
~ ! [O,P,Q] :
( ( start_point(P,O)
& start_point(Q,O) )
=> P = Q ),
inference(negate_conjecture,[status(cth)],[corollary_4_10_1]) ).
cnf(91,plain,
start_point(sK29,sK28),
inference(cnf,[status(esa)],[corollary_4_10_1_negated]) ).
cnf(l0,plain,
start_point(sK29,sK28),
inference(instantiation,[status(thm)],[91]) ).
fof(start_point_defn,plain,
! [P,O] :
( start_point(P,O)
<=> ( incident_o(P,O)
& ! [Q] :
( ( P != Q
& incident_o(Q,O) )
=> ordered_by(O,P,Q) ) ) ),
file('Axioms/GEO004+2.ax',start_point_defn) ).
cnf(58,plain,
( ~ incident_o(X0,X1)
| ~ start_point(X2,X1)
| X2 = X0
| ordered_by(X1,X2,X0) ),
inference(cnf,[status(esa)],[start_point_defn]) ).
cnf(l1,plain,
( ~ incident_o(sK30,sK28)
| ~ start_point(sK29,sK28)
| sK29 = sK30
| ordered_by(sK28,sK29,sK30) ),
inference(instantiation,[status(thm)],[58]) ).
fof(between_o_defn,plain,
! [O,P,Q,R] :
( between_o(O,P,Q,R)
<=> ( ( ordered_by(O,P,Q)
& ordered_by(O,Q,R) )
| ( ordered_by(O,R,Q)
& ordered_by(O,Q,P) ) ) ),
file('Axioms/GEO004+2.ax',between_o_defn) ).
cnf(54,plain,
( ~ ordered_by(X0,X1,X2)
| ~ ordered_by(X0,X3,X1)
| between_o(X0,X2,X1,X3) ),
inference(cnf,[status(esa)],[between_o_defn]) ).
cnf(l4,plain,
( ~ ordered_by(sK28,sK29,sK30)
| ~ ordered_by(sK28,sK30,sK29)
| between_o(sK28,sK30,sK29,sK30) ),
inference(instantiation,[status(thm)],[54]) ).
fof(o3,plain,
! [P,Q,R,O] :
( between_o(O,P,Q,R)
<=> ? [C] :
( ! [P] :
( incident_o(P,O)
<=> incident_c(P,C) )
& between_c(C,P,Q,R) ) ),
file('Axioms/GEO004+2.ax',o3) ).
cnf(74,plain,
( ~ between_o(X0,X1,X2,X3)
| between_c(sK20(X1,X2,X3,X0),X1,X2,X3) ),
inference(cnf,[status(esa)],[o3]) ).
cnf(l7,plain,
( ~ between_o(sK28,sK30,sK29,sK30)
| between_c(sK20(sK30,sK29,sK30,sK28),sK30,sK29,sK30) ),
inference(instantiation,[status(thm)],[74]) ).
fof(o1,plain,
! [O,P,Q] :
( ordered_by(O,P,Q)
=> ( incident_o(P,O)
& incident_o(Q,O) ) ),
file('Axioms/GEO004+2.ax',o1) ).
cnf(67,plain,
( ~ ordered_by(X0,X1,X2)
| incident_o(X1,X0) ),
inference(cnf,[status(esa)],[o1]) ).
cnf(l2,plain,
( ~ ordered_by(sK28,sK30,sK29)
| incident_o(sK30,sK28) ),
inference(instantiation,[status(thm)],[67]) ).
fof(between_c_defn,plain,
! [C,P,Q,R] :
( between_c(C,P,Q,R)
<=> ( P != R
& ? [Cpp] :
( part_of(Cpp,C)
& end_point(P,Cpp)
& end_point(R,Cpp)
& inner_point(Q,Cpp) ) ) ),
file('Axioms/GEO004+1.ax',between_c_defn) ).
cnf(45,plain,
( X0 != X1
| ~ between_c(X2,X0,X3,X1) ),
inference(cnf,[status(esa)],[between_c_defn]) ).
cnf(l13,plain,
( sK30 != sK30
| ~ between_c(sK20(sK30,sK29,sK30,sK28),sK30,sK29,sK30) ),
inference(instantiation,[status(thm)],[45]) ).
cnf(l126,plain,
( ~ incident_o(sK29,sK28)
| ~ start_point(sK30,sK28)
| sK30 = sK29
| ordered_by(sK28,sK30,sK29) ),
inference(instantiation,[status(thm)],[58]) ).
cnf(l152,plain,
( ~ ordered_by(sK28,sK29,sK30)
| incident_o(sK29,sK28) ),
inference(instantiation,[status(thm)],[67]) ).
cnf(l9,plain,
( ~ incident_o(sK29,sK28)
| ~ start_point(sK30,sK28)
| sK30 = sK29
| ordered_by(sK28,sK30,sK29) ),
inference(instantiation,[status(thm)],[58]) ).
cnf(57,plain,
( ~ start_point(X0,X1)
| incident_o(X0,X1) ),
inference(cnf,[status(esa)],[start_point_defn]) ).
cnf(l12,plain,
( ~ start_point(sK29,sK28)
| incident_o(sK29,sK28) ),
inference(instantiation,[status(thm)],[57]) ).
cnf(92,plain,
start_point(sK30,sK28),
inference(cnf,[status(esa)],[corollary_4_10_1_negated]) ).
cnf(l72,plain,
start_point(sK30,sK28),
inference(instantiation,[status(thm)],[92]) ).
cnf(l129,plain,
start_point(sK30,sK28),
inference(instantiation,[status(thm)],[92]) ).
cnf(93,plain,
sK29 != sK30,
inference(cnf,[status(esa)],[corollary_4_10_1_negated]) ).
cnf(l3,plain,
sK29 != sK30,
inference(instantiation,[status(thm)],[93]) ).
cnf(l115,plain,
sK29 != sK30,
inference(instantiation,[status(thm)],[93]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l4,l7,l2,l13,l126,l152,l9,l12,l72,l129,l3,l115]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : GEO124+1 : TPTP v9.0.0. Released v2.4.0.
% 0.08/0.12 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n022.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 11:15:34 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.34 % launching worker at depth: 5
% 0.12/0.34 % launching worker at depth: 3
% 0.12/0.34 % launching worker at depth: 1
% 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: 6
% 0.12/0.34 % launching worker at depth: 8
% 0.12/0.34 % launching worker at depth: 7
% 0.12/0.34 % launching worker at depth: 9
% 0.12/0.36 % launching worker at depth: 10
% 0.18/0.47 % launching worker at depth: 11
% 21.37/3.05 % launching worker at depth: 12
% 108.43/13.93 % SZS status Theorem for theBenchmark
% 108.43/13.93 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------