%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : GEO246+1 : TPTP v9.3.1. Bugfixed v6.4.0.
% 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 : n026.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 08:40:06 AM UTC 2026
% Result : Theorem 0.14s 0.49s
% Output : Proof 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 4
% Syntax : Number of formulae : 30 ( 12 unt; 0 def)
% Number of atoms : 62 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 58 ( 26 ~; 10 |; 17 &)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 46 ( 2 sgn 28 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(oag1,axiom,
! [A] : ~ distinct_points(A,A),
file('GEO007+0.ax',oag1) ).
fof(oag10,axiom,
! [A,L] :
~ ( left_apart_point(A,reverse_line(L))
| left_apart_point(A,L) ),
file('GEO007+0.ax',oag10) ).
fof(oagsub1,axiom,
! [A,B,L] :
( left_apart_point(A,L)
=> ( left_apart_point(B,L)
| distinct_points(A,B) ) ),
file('GEO007+0.ax',oagsub1) ).
fof(con,conjecture,
! [A,B,C] :
( distinct_points(A,B)
=> ( left_apart_point(C,reverse_line(line_connecting(A,B)))
=> left_apart_point(B,line_connecting(A,C)) ) ),
file('theBenchmark.p',con) ).
fof(f_6_1,plain,
! [A] : ~ distinct_points(A,A),
inference(fof_nnf,[status(thm)],[oag1]) ).
fof(f_6_2,plain,
! [U_42] : ~ distinct_points(U_42,U_42),
inference(variable_rename,[status(thm)],[f_6_1]) ).
cnf(f_6_3,plain,
~ distinct_points(U_42,U_42),
inference(clausify,[status(thm)],[f_6_2]) ).
fof(f_15_1,plain,
! [A,L] :
( ~ left_apart_point(A,reverse_line(L))
& ~ left_apart_point(A,L) ),
inference(fof_nnf,[status(thm)],[oag10]) ).
fof(f_15_2,plain,
! [U_62,U_61] :
( ~ left_apart_point(U_62,reverse_line(U_61))
& ~ left_apart_point(U_62,U_61) ),
inference(variable_rename,[status(thm)],[f_15_1]) ).
fof(f_15_3,plain,
( ! [U_66,U_64] : ~ left_apart_point(U_66,reverse_line(U_64))
& ! [U_65,U_63] : ~ left_apart_point(U_65,U_63) ),
inference(miniscope,[status(thm)],[f_15_2]) ).
cnf(f_15_5,plain,
~ left_apart_point(U_66,reverse_line(U_64)),
inference(clausify,[status(thm)],[f_15_3]) ).
fof(f_29_1,plain,
! [A,B,L] :
( left_apart_point(B,L)
| distinct_points(A,B)
| ~ left_apart_point(A,L) ),
inference(fof_nnf,[status(thm)],[oagsub1]) ).
fof(f_29_2,plain,
! [U_100,U_99,U_98] :
( left_apart_point(U_99,U_98)
| distinct_points(U_100,U_99)
| ~ left_apart_point(U_100,U_98) ),
inference(variable_rename,[status(thm)],[f_29_1]) ).
cnf(f_29_3,plain,
( left_apart_point(U_99,U_98)
| distinct_points(U_100,U_99)
| ~ left_apart_point(U_100,U_98) ),
inference(clausify,[status(thm)],[f_29_2]) ).
fof(f_32_1,negated_conjecture,
~ ! [A,B,C] :
( distinct_points(A,B)
=> ( left_apart_point(C,reverse_line(line_connecting(A,B)))
=> left_apart_point(B,line_connecting(A,C)) ) ),
inference(negate,[status(cth)],[con]) ).
fof(f_32_2,negated_conjecture,
? [A,B,C] :
( ~ left_apart_point(B,line_connecting(A,C))
& left_apart_point(C,reverse_line(line_connecting(A,B)))
& distinct_points(A,B) ),
inference(fof_nnf,[status(thm)],[f_32_1]) ).
fof(f_32_3,negated_conjecture,
? [U_109,U_108,U_107] :
( ~ left_apart_point(U_108,line_connecting(U_109,U_107))
& left_apart_point(U_107,reverse_line(line_connecting(U_109,U_108)))
& distinct_points(U_109,U_108) ),
inference(variable_rename,[status(thm)],[f_32_2]) ).
fof(f_32_4,negated_conjecture,
? [U_109,U_108] :
( ? [U_107] :
( ~ left_apart_point(U_108,line_connecting(U_109,U_107))
& left_apart_point(U_107,reverse_line(line_connecting(U_109,U_108))) )
& distinct_points(U_109,U_108) ),
inference(miniscope,[status(thm)],[f_32_3]) ).
fof(f_32_5,negated_conjecture,
? [U_108] :
( ? [U_107] :
( ~ left_apart_point(U_108,line_connecting(sK1,U_107))
& left_apart_point(U_107,reverse_line(line_connecting(sK1,U_108))) )
& distinct_points(sK1,U_108) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(U_109,sK1)],[f_32_4]) ).
fof(f_32_6,negated_conjecture,
( ? [U_107] :
( ~ left_apart_point(sK2,line_connecting(sK1,U_107))
& left_apart_point(U_107,reverse_line(line_connecting(sK1,sK2))) )
& distinct_points(sK1,sK2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(U_108,sK2)],[f_32_5]) ).
fof(f_32_7,negated_conjecture,
( ~ left_apart_point(sK2,line_connecting(sK1,sK3))
& left_apart_point(sK3,reverse_line(line_connecting(sK1,sK2)))
& distinct_points(sK1,sK2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(U_107,sK3)],[f_32_6]) ).
fof(f_32_8,negated_conjecture,
( ~ left_apart_point(sK2,line_connecting(sK1,sK3))
& left_apart_point(sK3,reverse_line(line_connecting(sK1,sK2)))
& distinct_points(sK1,sK2) ),
inference(definitional_conversion,[status(esa)],[f_32_7]) ).
cnf(f_32_10,negated_conjecture,
left_apart_point(sK3,reverse_line(line_connecting(sK1,sK2))),
inference(clausify,[status(thm)],[f_32_8]) ).
cnf(t1,plain,
~ distinct_points(sK3,sK3),
inference(start,[status(thm),parent(0:0)],[f_6_3]) ).
cnf(t2,plain,
( left_apart_point(sK3,reverse_line(line_connecting(sK1,sK2)))
| ~ left_apart_point(sK3,reverse_line(line_connecting(sK1,sK2)))
| distinct_points(sK3,sK3) ),
inference(extension,[status(thm),parent(t1:1)],[f_29_3]) ).
cnf(t3,plain,
$false,
inference(connection,[status(thm),parent(t2:1)],[t2:1,t1:1]) ).
cnf(t4,plain,
left_apart_point(sK3,reverse_line(line_connecting(sK1,sK2))),
inference(extension,[status(thm),parent(t2:2)],[f_32_10]) ).
cnf(t5,plain,
$false,
inference(connection,[status(thm),parent(t4:1)],[t4:1,t2:2]) ).
cnf(t6,plain,
~ left_apart_point(sK3,reverse_line(line_connecting(sK1,sK2))),
inference(extension,[status(thm),parent(t2:3)],[f_15_5]) ).
cnf(t7,plain,
$false,
inference(connection,[status(thm),parent(t6:1)],[t6:1,t2:3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO246+1 : TPTP v9.3.1. Bugfixed v6.4.0.
% 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
% 0.11/0.36 % Computer : n026.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Sat Sep 19 07:45:06 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.14/0.49 % SZS status Theorem for theBenchmark
% 0.14/0.49 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------