%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : GEO241+3 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n015.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 08:40:05 AM UTC 2026
% Result : Theorem 0.32s 0.57s
% Output : Proof 0.32s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 2
% Syntax : Number of formulae : 17 ( 5 unt; 0 def)
% Number of atoms : 45 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 44 ( 16 ~; 1 |; 25 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 27 ( 2 sgn 16 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(ax11_basics,axiom,
! [L,M] :
~ ( left_convergent_lines(L,reverse_line(M))
| left_convergent_lines(L,M) ),
file('GEO009+0.ax',ax11_basics) ).
fof(con,conjecture,
! [A,B,L] :
( ( left_convergent_lines(L,line_connecting(A,B))
& distinct_points(A,B)
& incident_point_and_line(A,L) )
=> left_apart_point(B,L) ),
file('theBenchmark.p',con) ).
fof(f_21_1,plain,
! [L,M] :
( ~ left_convergent_lines(L,reverse_line(M))
& ~ left_convergent_lines(L,M) ),
inference(fof_nnf,[status(thm)],[ax11_basics]) ).
fof(f_21_2,plain,
! [U_98,U_97] :
( ~ left_convergent_lines(U_98,reverse_line(U_97))
& ~ left_convergent_lines(U_98,U_97) ),
inference(variable_rename,[status(thm)],[f_21_1]) ).
fof(f_21_3,plain,
( ! [U_102,U_100] : ~ left_convergent_lines(U_102,reverse_line(U_100))
& ! [U_101,U_99] : ~ left_convergent_lines(U_101,U_99) ),
inference(miniscope,[status(thm)],[f_21_2]) ).
cnf(f_21_4,plain,
~ left_convergent_lines(U_101,U_99),
inference(clausify,[status(thm)],[f_21_3]) ).
fof(f_37_1,negated_conjecture,
~ ! [A,B,L] :
( ( left_convergent_lines(L,line_connecting(A,B))
& distinct_points(A,B)
& incident_point_and_line(A,L) )
=> left_apart_point(B,L) ),
inference(negate,[status(cth)],[con]) ).
fof(f_37_2,negated_conjecture,
? [A,B,L] :
( ~ left_apart_point(B,L)
& left_convergent_lines(L,line_connecting(A,B))
& distinct_points(A,B)
& incident_point_and_line(A,L) ),
inference(fof_nnf,[status(thm)],[f_37_1]) ).
fof(f_37_3,negated_conjecture,
? [U_139,U_138,U_137] :
( ~ left_apart_point(U_138,U_137)
& left_convergent_lines(U_137,line_connecting(U_139,U_138))
& distinct_points(U_139,U_138)
& incident_point_and_line(U_139,U_137) ),
inference(variable_rename,[status(thm)],[f_37_2]) ).
fof(f_37_4,negated_conjecture,
? [U_138,U_137] :
( ~ left_apart_point(U_138,U_137)
& left_convergent_lines(U_137,line_connecting(sK1,U_138))
& distinct_points(sK1,U_138)
& incident_point_and_line(sK1,U_137) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(U_139,sK1)],[f_37_3]) ).
fof(f_37_5,negated_conjecture,
? [U_137] :
( ~ left_apart_point(sK2,U_137)
& left_convergent_lines(U_137,line_connecting(sK1,sK2))
& distinct_points(sK1,sK2)
& incident_point_and_line(sK1,U_137) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(U_138,sK2)],[f_37_4]) ).
fof(f_37_6,negated_conjecture,
( ~ left_apart_point(sK2,sK3)
& left_convergent_lines(sK3,line_connecting(sK1,sK2))
& distinct_points(sK1,sK2)
& incident_point_and_line(sK1,sK3) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(U_137,sK3)],[f_37_5]) ).
fof(f_37_7,negated_conjecture,
( ~ left_apart_point(sK2,sK3)
& left_convergent_lines(sK3,line_connecting(sK1,sK2))
& distinct_points(sK1,sK2)
& incident_point_and_line(sK1,sK3) ),
inference(definitional_conversion,[status(esa)],[f_37_6]) ).
cnf(f_37_10,negated_conjecture,
left_convergent_lines(sK3,line_connecting(sK1,sK2)),
inference(clausify,[status(thm)],[f_37_7]) ).
cnf(t1,plain,
~ left_convergent_lines(sK3,line_connecting(sK1,sK2)),
inference(start,[status(thm),parent(0:0)],[f_21_4]) ).
cnf(t2,plain,
left_convergent_lines(sK3,line_connecting(sK1,sK2)),
inference(extension,[status(thm),parent(t1:1)],[f_37_10]) ).
cnf(t3,plain,
$false,
inference(connection,[status(thm),parent(t2:1)],[t2:1,t1:1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO241+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.03 This is a FOF_THM_RFO_NEQ problem
% 0.00/0.04 % Command : /export/starexec/sandbox/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.35 % Computer : n015.cluster.edu
% 0.11/0.35 % Model : x86_64 x86_64
% 0.11/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.35 % Memory : 8046.5625MB
% 0.11/0.35 % OS : Linux 6.8.0-71-generic
% 0.11/0.35 % CPULimit : 300
% 0.11/0.35 % WCLimit : 300
% 0.11/0.35 % DateTime : Sat Sep 19 07:45:33 UTC 2026
% 0.11/0.36 % CPUTime :
% 0.32/0.57 % SZS status Theorem for theBenchmark
% 0.32/0.57 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------