%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : GEO238+1 : TPTP v9.0.0. Bugfixed v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/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 01:38:42 PM UTC 2025
% Result : Theorem 0.19s 0.34s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 3
% Syntax : Number of formulae : 15 ( 7 unt; 0 def)
% Number of atoms : 30 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 27 ( 12 ~; 8 |; 4 &)
% ( 1 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-1 aty)
% Number of variables : 23 ( 5 sgn 13 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(con,plain,
! [A,B,C,L] :
( ( divides_points(L,A,B)
& divides_points(L,A,C) )
=> ~ divides_points(L,B,C) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
fof(con_negated,plain,
~ ! [A,B,C,L] :
( ( divides_points(L,A,B)
& divides_points(L,A,C) )
=> ~ divides_points(L,B,C) ),
inference(negate_conjecture,[status(cth)],[con]) ).
cnf(58,plain,
divides_points(sK4,sK1,sK2),
inference(cnf,[status(esa)],[con_negated]) ).
cnf(l0,plain,
divides_points(sK4,sK1,sK2),
inference(instantiation,[status(thm)],[58]) ).
fof(div_def,plain,
! [A,B,L] :
( divides_points(L,A,B)
<=> ( ( left_apart_point(A,L)
& left_apart_point(B,reverse_line(L)) )
| ( left_apart_point(A,reverse_line(L))
& left_apart_point(B,L) ) ) ),
file('Axioms/GEO007+0.ax',div_def) ).
cnf(7,plain,
( ~ divides_points(X0,X1,X2)
| left_apart_point(X2,reverse_line(X0))
| sP0(X2,X1,X0) ),
inference(cnf,[status(esa)],[div_def]) ).
cnf(l1,plain,
( ~ divides_points(sK4,sK1,sK2)
| left_apart_point(sK2,reverse_line(sK4))
| sP0(sK2,sK1,sK4) ),
inference(instantiation,[status(thm)],[7]) ).
cnf(10,plain,
( left_apart_point(X0,X1)
| ~ sP0(X0,X2,X1) ),
inference(cnf,[status(esa)],[div_def]) ).
cnf(l3,plain,
( left_apart_point(sK2,sK4)
| ~ sP0(sK2,sK1,sK4) ),
inference(instantiation,[status(thm)],[10]) ).
fof(oag10,plain,
! [A,L] :
~ ( left_apart_point(A,L)
| left_apart_point(A,reverse_line(L)) ),
file('Axioms/GEO007+0.ax',oag10) ).
cnf(38,plain,
~ left_apart_point(X0,reverse_line(X1)),
inference(cnf,[status(esa)],[oag10]) ).
cnf(l2,plain,
~ left_apart_point(sK2,reverse_line(sK4)),
inference(instantiation,[status(thm)],[38]) ).
cnf(37,plain,
~ left_apart_point(X0,X1),
inference(cnf,[status(esa)],[oag10]) ).
cnf(l5,plain,
~ left_apart_point(sK2,sK4),
inference(instantiation,[status(thm)],[37]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l3,l2,l5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GEO238+1 : TPTP v9.0.0. Bugfixed v6.4.0.
% 0.12/0.12 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/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 11:48:24 EDT 2025
% 0.13/0.33 % CPUTime :
% 0.19/0.34 % launching worker at depth: 1
% 0.19/0.34 % launching worker at depth: 2
% 0.19/0.34 % launching worker at depth: 6
% 0.19/0.34 % launching worker at depth: 3
% 0.19/0.34 % launching worker at depth: 7
% 0.19/0.34 % launching worker at depth: 5
% 0.19/0.34 % launching worker at depth: 4
% 0.19/0.34 % launching worker at depth: 8
% 0.19/0.34 % launching worker at depth: 9
% 0.19/0.34 % launching worker at depth: 10
% 0.19/0.34 % SZS status Theorem for theBenchmark
% 0.19/0.34 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------