%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : GEO199+2 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n020.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 08:39:50 AM UTC 2026
% Result : Theorem 30.65s 35.94s
% Output : Proof 30.65s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 8
% Syntax : Number of formulae : 106 ( 53 unt; 0 def)
% Number of atoms : 242 ( 0 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 228 ( 92 ~; 92 |; 36 &)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 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; 0-2 aty)
% Number of variables : 121 ( 2 sgn 89 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(apart1,axiom,
! [X] : ~ distinct_points(X,X),
file('GEO008+0.ax',apart1) ).
fof(apart3,axiom,
! [X] : ~ convergent_lines(X,X),
file('GEO008+0.ax',apart3) ).
fof(apart6,axiom,
! [X,Y,Z] :
( convergent_lines(X,Y)
=> ( convergent_lines(Y,Z)
| convergent_lines(X,Z) ) ),
file('GEO008+0.ax',apart6) ).
fof(con2,axiom,
! [X,Y,Z] :
( convergent_lines(X,Y)
=> ( ( apart_point_and_line(Z,Y)
| apart_point_and_line(Z,X) )
=> distinct_points(Z,intersection_point(X,Y)) ) ),
file('GEO008+0.ax',con2) ).
fof(cu1,axiom,
! [X,Y,U,V] :
( ( distinct_lines(U,V)
& distinct_points(X,Y) )
=> ( apart_point_and_line(Y,V)
| apart_point_and_line(Y,U)
| apart_point_and_line(X,V)
| apart_point_and_line(X,U) ) ),
file('GEO008+0.ax',cu1) ).
fof(ceq1,axiom,
! [X,Y,Z] :
( apart_point_and_line(X,Y)
=> ( apart_point_and_line(Z,Y)
| distinct_points(X,Z) ) ),
file('GEO008+0.ax',ceq1) ).
fof(ceq3,axiom,
! [X,Y] :
( convergent_lines(X,Y)
=> distinct_lines(X,Y) ),
file('GEO008+0.ax',ceq3) ).
fof(con,conjecture,
! [X,Y,Z] :
( ( ~ apart_point_and_line(intersection_point(X,Y),Z)
& convergent_lines(X,Z)
& convergent_lines(Z,Y)
& convergent_lines(X,Y) )
=> ~ apart_point_and_line(intersection_point(Y,X),Z) ),
file('theBenchmark.p',con) ).
fof(f_1_1,plain,
! [X] : ~ distinct_points(X,X),
inference(fof_nnf,[status(thm)],[apart1]) ).
fof(f_1_2,plain,
! [U_0] : ~ distinct_points(U_0,U_0),
inference(variable_rename,[status(thm)],[f_1_1]) ).
fof(f_1_3,plain,
! [U_0] : ~ distinct_points(U_0,U_0),
inference(definitional_conversion,[status(esa)],[f_1_2]) ).
cnf(f_1_4,plain,
~ distinct_points(U_0,U_0),
inference(clausify,[status(thm)],[f_1_3]) ).
fof(f_3_1,plain,
! [X] : ~ convergent_lines(X,X),
inference(fof_nnf,[status(thm)],[apart3]) ).
fof(f_3_2,plain,
! [U_2] : ~ convergent_lines(U_2,U_2),
inference(variable_rename,[status(thm)],[f_3_1]) ).
fof(f_3_3,plain,
! [U_2] : ~ convergent_lines(U_2,U_2),
inference(definitional_conversion,[status(esa)],[f_3_2]) ).
cnf(f_3_4,plain,
~ convergent_lines(U_2,U_2),
inference(clausify,[status(thm)],[f_3_3]) ).
fof(f_6_1,plain,
! [X,Y,Z] :
( convergent_lines(Y,Z)
| convergent_lines(X,Z)
| ~ convergent_lines(X,Y) ),
inference(fof_nnf,[status(thm)],[apart6]) ).
fof(f_6_2,plain,
! [U_11,U_10,U_9] :
( convergent_lines(U_10,U_9)
| convergent_lines(U_11,U_9)
| ~ convergent_lines(U_11,U_10) ),
inference(variable_rename,[status(thm)],[f_6_1]) ).
fof(f_6_3,plain,
! [U_11,U_10] :
( ! [U_9] :
( convergent_lines(U_10,U_9)
| convergent_lines(U_11,U_9) )
| ~ convergent_lines(U_11,U_10) ),
inference(miniscope,[status(thm)],[f_6_2]) ).
fof(f_6_4,plain,
! [U_11,U_10,U_9] :
( convergent_lines(U_10,U_9)
| convergent_lines(U_11,U_9)
| ~ convergent_lines(U_11,U_10) ),
inference(definitional_conversion,[status(esa)],[f_6_3]) ).
cnf(f_6_5,plain,
( convergent_lines(U_10,U_9)
| convergent_lines(U_11,U_9)
| ~ convergent_lines(U_11,U_10) ),
inference(clausify,[status(thm)],[f_6_4]) ).
fof(f_8_1,plain,
! [X,Y,Z] :
( distinct_points(Z,intersection_point(X,Y))
| ( ~ apart_point_and_line(Z,Y)
& ~ apart_point_and_line(Z,X) )
| ~ convergent_lines(X,Y) ),
inference(fof_nnf,[status(thm)],[con2]) ).
fof(f_8_2,plain,
! [U_17,U_16,U_15] :
( distinct_points(U_15,intersection_point(U_17,U_16))
| ( ~ apart_point_and_line(U_15,U_16)
& ~ apart_point_and_line(U_15,U_17) )
| ~ convergent_lines(U_17,U_16) ),
inference(variable_rename,[status(thm)],[f_8_1]) ).
fof(f_8_3,plain,
! [U_17,U_16] :
( ! [U_15] :
( distinct_points(U_15,intersection_point(U_17,U_16))
| ( ~ apart_point_and_line(U_15,U_16)
& ~ apart_point_and_line(U_15,U_17) ) )
| ~ convergent_lines(U_17,U_16) ),
inference(miniscope,[status(thm)],[f_8_2]) ).
fof(f_8_4,plain,
( ! [U_15,U_17,U_16] :
( ~ apart_point_and_line(U_15,U_16)
| ~ sP1(U_15,U_17,U_16) )
& ! [U_15,U_17,U_16] :
( ~ apart_point_and_line(U_15,U_17)
| ~ sP1(U_15,U_17,U_16) )
& ! [U_15,U_17,U_16] :
( distinct_points(U_15,intersection_point(U_17,U_16))
| sP1(U_15,U_17,U_16)
| ~ convergent_lines(U_17,U_16) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1])],[f_8_3]) ).
cnf(f_8_5,plain,
( distinct_points(U_15,intersection_point(U_17,U_16))
| sP1(U_15,U_17,U_16)
| ~ convergent_lines(U_17,U_16) ),
inference(clausify,[status(thm)],[f_8_4]) ).
cnf(f_8_6,plain,
( ~ apart_point_and_line(U_15,U_17)
| ~ sP1(U_15,U_17,U_16) ),
inference(clausify,[status(thm)],[f_8_4]) ).
cnf(f_8_7,plain,
( ~ apart_point_and_line(U_15,U_16)
| ~ sP1(U_15,U_17,U_16) ),
inference(clausify,[status(thm)],[f_8_4]) ).
fof(f_9_1,plain,
! [X,Y,U,V] :
( apart_point_and_line(Y,V)
| apart_point_and_line(Y,U)
| apart_point_and_line(X,V)
| apart_point_and_line(X,U)
| ~ distinct_lines(U,V)
| ~ distinct_points(X,Y) ),
inference(fof_nnf,[status(thm)],[cu1]) ).
fof(f_9_2,plain,
! [U_21,U_20,U_19,U_18] :
( apart_point_and_line(U_20,U_18)
| apart_point_and_line(U_20,U_19)
| apart_point_and_line(U_21,U_18)
| apart_point_and_line(U_21,U_19)
| ~ distinct_lines(U_19,U_18)
| ~ distinct_points(U_21,U_20) ),
inference(variable_rename,[status(thm)],[f_9_1]) ).
fof(f_9_3,plain,
! [U_20,U_21,U_18,U_19] :
( apart_point_and_line(U_20,U_18)
| apart_point_and_line(U_20,U_19)
| apart_point_and_line(U_21,U_18)
| apart_point_and_line(U_21,U_19)
| ~ distinct_lines(U_19,U_18)
| ~ distinct_points(U_21,U_20) ),
inference(definitional_conversion,[status(esa)],[f_9_2]) ).
cnf(f_9_4,plain,
( apart_point_and_line(U_20,U_18)
| apart_point_and_line(U_20,U_19)
| apart_point_and_line(U_21,U_18)
| apart_point_and_line(U_21,U_19)
| ~ distinct_lines(U_19,U_18)
| ~ distinct_points(U_21,U_20) ),
inference(clausify,[status(thm)],[f_9_3]) ).
fof(f_10_1,plain,
! [X,Y,Z] :
( apart_point_and_line(Z,Y)
| distinct_points(X,Z)
| ~ apart_point_and_line(X,Y) ),
inference(fof_nnf,[status(thm)],[ceq1]) ).
fof(f_10_2,plain,
! [U_24,U_23,U_22] :
( apart_point_and_line(U_22,U_23)
| distinct_points(U_24,U_22)
| ~ apart_point_and_line(U_24,U_23) ),
inference(variable_rename,[status(thm)],[f_10_1]) ).
fof(f_10_3,plain,
! [U_24,U_23] :
( ! [U_22] :
( apart_point_and_line(U_22,U_23)
| distinct_points(U_24,U_22) )
| ~ apart_point_and_line(U_24,U_23) ),
inference(miniscope,[status(thm)],[f_10_2]) ).
fof(f_10_4,plain,
! [U_24,U_22,U_23] :
( apart_point_and_line(U_22,U_23)
| distinct_points(U_24,U_22)
| ~ apart_point_and_line(U_24,U_23) ),
inference(definitional_conversion,[status(esa)],[f_10_3]) ).
cnf(f_10_5,plain,
( apart_point_and_line(U_22,U_23)
| distinct_points(U_24,U_22)
| ~ apart_point_and_line(U_24,U_23) ),
inference(clausify,[status(thm)],[f_10_4]) ).
fof(f_12_1,plain,
! [X,Y] :
( distinct_lines(X,Y)
| ~ convergent_lines(X,Y) ),
inference(fof_nnf,[status(thm)],[ceq3]) ).
fof(f_12_2,plain,
! [U_29,U_28] :
( distinct_lines(U_29,U_28)
| ~ convergent_lines(U_29,U_28) ),
inference(variable_rename,[status(thm)],[f_12_1]) ).
fof(f_12_3,plain,
! [U_28,U_29] :
( distinct_lines(U_29,U_28)
| ~ convergent_lines(U_29,U_28) ),
inference(definitional_conversion,[status(esa)],[f_12_2]) ).
cnf(f_12_4,plain,
( distinct_lines(U_29,U_28)
| ~ convergent_lines(U_29,U_28) ),
inference(clausify,[status(thm)],[f_12_3]) ).
fof(f_13_1,negated_conjecture,
~ ! [X,Y,Z] :
( ( ~ apart_point_and_line(intersection_point(X,Y),Z)
& convergent_lines(X,Z)
& convergent_lines(Z,Y)
& convergent_lines(X,Y) )
=> ~ apart_point_and_line(intersection_point(Y,X),Z) ),
inference(negate,[status(cth)],[con]) ).
fof(f_13_2,negated_conjecture,
? [X,Y,Z] :
( apart_point_and_line(intersection_point(Y,X),Z)
& ~ apart_point_and_line(intersection_point(X,Y),Z)
& convergent_lines(X,Z)
& convergent_lines(Z,Y)
& convergent_lines(X,Y) ),
inference(fof_nnf,[status(thm)],[f_13_1]) ).
fof(f_13_3,negated_conjecture,
? [U_32,U_31,U_30] :
( apart_point_and_line(intersection_point(U_31,U_32),U_30)
& ~ apart_point_and_line(intersection_point(U_32,U_31),U_30)
& convergent_lines(U_32,U_30)
& convergent_lines(U_30,U_31)
& convergent_lines(U_32,U_31) ),
inference(variable_rename,[status(thm)],[f_13_2]) ).
fof(f_13_4,negated_conjecture,
? [U_31,U_30] :
( apart_point_and_line(intersection_point(U_31,sK1),U_30)
& ~ apart_point_and_line(intersection_point(sK1,U_31),U_30)
& convergent_lines(sK1,U_30)
& convergent_lines(U_30,U_31)
& convergent_lines(sK1,U_31) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(U_32,sK1)],[f_13_3]) ).
fof(f_13_5,negated_conjecture,
? [U_30] :
( apart_point_and_line(intersection_point(sK2,sK1),U_30)
& ~ apart_point_and_line(intersection_point(sK1,sK2),U_30)
& convergent_lines(sK1,U_30)
& convergent_lines(U_30,sK2)
& convergent_lines(sK1,sK2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(U_31,sK2)],[f_13_4]) ).
fof(f_13_6,negated_conjecture,
( apart_point_and_line(intersection_point(sK2,sK1),sK3)
& ~ apart_point_and_line(intersection_point(sK1,sK2),sK3)
& convergent_lines(sK1,sK3)
& convergent_lines(sK3,sK2)
& convergent_lines(sK1,sK2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(U_30,sK3)],[f_13_5]) ).
fof(f_13_7,negated_conjecture,
( apart_point_and_line(intersection_point(sK2,sK1),sK3)
& ~ apart_point_and_line(intersection_point(sK1,sK2),sK3)
& convergent_lines(sK1,sK3)
& convergent_lines(sK3,sK2)
& convergent_lines(sK1,sK2) ),
inference(definitional_conversion,[status(esa)],[f_13_6]) ).
cnf(f_13_8,negated_conjecture,
convergent_lines(sK1,sK2),
inference(clausify,[status(thm)],[f_13_7]) ).
cnf(f_13_11,negated_conjecture,
~ apart_point_and_line(intersection_point(sK1,sK2),sK3),
inference(clausify,[status(thm)],[f_13_7]) ).
cnf(f_13_12,negated_conjecture,
apart_point_and_line(intersection_point(sK2,sK1),sK3),
inference(clausify,[status(thm)],[f_13_7]) ).
cnf(t1,plain,
convergent_lines(sK1,sK2),
inference(start,[status(thm),parent(0:0)],[f_13_8]) ).
cnf(t2,plain,
( distinct_lines(sK1,sK2)
| ~ convergent_lines(sK1,sK2) ),
inference(extension,[status(thm),parent(t1:1)],[f_12_4]) ).
cnf(t3,plain,
$false,
inference(connection,[status(thm),parent(t2:1)],[t2:1,t1:1]) ).
cnf(t4,plain,
( apart_point_and_line(intersection_point(sK1,sK2),sK2)
| apart_point_and_line(intersection_point(sK2,sK1),sK1)
| apart_point_and_line(intersection_point(sK2,sK1),sK2)
| apart_point_and_line(intersection_point(sK1,sK2),sK1)
| ~ distinct_points(intersection_point(sK2,sK1),intersection_point(sK1,sK2))
| ~ distinct_lines(sK1,sK2) ),
inference(extension,[status(thm),parent(t2:2)],[f_9_4]) ).
cnf(t5,plain,
$false,
inference(connection,[status(thm),parent(t4:1)],[t4:1,t2:2]) ).
cnf(t6,plain,
( apart_point_and_line(intersection_point(sK1,sK2),sK3)
| ~ apart_point_and_line(intersection_point(sK2,sK1),sK3)
| distinct_points(intersection_point(sK2,sK1),intersection_point(sK1,sK2)) ),
inference(extension,[status(thm),parent(t4:2)],[f_10_5]) ).
cnf(t7,plain,
$false,
inference(connection,[status(thm),parent(t6:1)],[t6:1,t4:2]) ).
cnf(t8,plain,
apart_point_and_line(intersection_point(sK2,sK1),sK3),
inference(extension,[status(thm),parent(t6:2)],[f_13_12]) ).
cnf(t9,plain,
$false,
inference(connection,[status(thm),parent(t8:1)],[t8:1,t6:2]) ).
cnf(t10,plain,
~ apart_point_and_line(intersection_point(sK1,sK2),sK3),
inference(extension,[status(thm),parent(t6:3)],[f_13_11]) ).
cnf(t11,plain,
$false,
inference(connection,[status(thm),parent(t10:1)],[t10:1,t6:3]) ).
cnf(t12,plain,
( distinct_points(intersection_point(sK1,sK2),intersection_point(sK1,sK2))
| apart_point_and_line(intersection_point(sK1,sK2),sK1)
| ~ apart_point_and_line(intersection_point(sK1,sK2),sK1) ),
inference(extension,[status(thm),parent(t4:3)],[f_10_5]) ).
cnf(t13,plain,
$false,
inference(connection,[status(thm),parent(t12:1)],[t12:1,t4:3]) ).
cnf(t14,plain,
( ~ sP1(intersection_point(sK1,sK2),sK1,sK2)
| ~ apart_point_and_line(intersection_point(sK1,sK2),sK1) ),
inference(extension,[status(thm),parent(t12:2)],[f_8_6]) ).
cnf(t15,plain,
$false,
inference(connection,[status(thm),parent(t14:1)],[t14:1,t12:2]) ).
cnf(t16,plain,
( distinct_points(intersection_point(sK1,sK2),intersection_point(sK1,sK2))
| ~ convergent_lines(sK1,sK2)
| sP1(intersection_point(sK1,sK2),sK1,sK2) ),
inference(extension,[status(thm),parent(t14:2)],[f_8_5]) ).
cnf(t17,plain,
$false,
inference(connection,[status(thm),parent(t16:1)],[t16:1,t14:2]) ).
cnf(t18,plain,
$false,
inference(reduction,[status(thm),parent(t16:2)],[t16:2,t1:1]) ).
cnf(t19,plain,
~ distinct_points(intersection_point(sK1,sK2),intersection_point(sK1,sK2)),
inference(extension,[status(thm),parent(t16:3)],[f_1_4]) ).
cnf(t20,plain,
$false,
inference(connection,[status(thm),parent(t19:1)],[t19:1,t16:3]) ).
cnf(t21,plain,
~ distinct_points(intersection_point(sK1,sK2),intersection_point(sK1,sK2)),
inference(extension,[status(thm),parent(t12:3)],[f_1_4]) ).
cnf(t22,plain,
$false,
inference(connection,[status(thm),parent(t21:1)],[t21:1,t12:3]) ).
cnf(t23,plain,
( ~ sP1(intersection_point(sK2,sK1),sK2,sK1)
| ~ apart_point_and_line(intersection_point(sK2,sK1),sK2) ),
inference(extension,[status(thm),parent(t4:4)],[f_8_6]) ).
cnf(t24,plain,
$false,
inference(connection,[status(thm),parent(t23:1)],[t23:1,t4:4]) ).
cnf(t25,plain,
( distinct_points(intersection_point(sK2,sK1),intersection_point(sK2,sK1))
| ~ convergent_lines(sK2,sK1)
| sP1(intersection_point(sK2,sK1),sK2,sK1) ),
inference(extension,[status(thm),parent(t23:2)],[f_8_5]) ).
cnf(t26,plain,
$false,
inference(connection,[status(thm),parent(t25:1)],[t25:1,t23:2]) ).
cnf(t27,plain,
( convergent_lines(sK1,sK1)
| ~ convergent_lines(sK1,sK2)
| convergent_lines(sK2,sK1) ),
inference(extension,[status(thm),parent(t25:2)],[f_6_5]) ).
cnf(t28,plain,
$false,
inference(connection,[status(thm),parent(t27:1)],[t27:1,t25:2]) ).
cnf(t29,plain,
$false,
inference(reduction,[status(thm),parent(t27:2)],[t27:2,t1:1]) ).
cnf(t30,plain,
~ convergent_lines(sK1,sK1),
inference(extension,[status(thm),parent(t27:3)],[f_3_4]) ).
cnf(t31,plain,
$false,
inference(connection,[status(thm),parent(t30:1)],[t30:1,t27:3]) ).
cnf(t32,plain,
~ distinct_points(intersection_point(sK2,sK1),intersection_point(sK2,sK1)),
inference(extension,[status(thm),parent(t25:3)],[f_1_4]) ).
cnf(t33,plain,
$false,
inference(connection,[status(thm),parent(t32:1)],[t32:1,t25:3]) ).
cnf(t34,plain,
( ~ sP1(intersection_point(sK2,sK1),sK2,sK1)
| ~ apart_point_and_line(intersection_point(sK2,sK1),sK1) ),
inference(extension,[status(thm),parent(t4:5)],[f_8_7]) ).
cnf(t35,plain,
$false,
inference(connection,[status(thm),parent(t34:1)],[t34:1,t4:5]) ).
cnf(t36,plain,
( distinct_points(intersection_point(sK2,sK1),intersection_point(sK2,sK1))
| ~ convergent_lines(sK2,sK1)
| sP1(intersection_point(sK2,sK1),sK2,sK1) ),
inference(extension,[status(thm),parent(t34:2)],[f_8_5]) ).
cnf(t37,plain,
$false,
inference(connection,[status(thm),parent(t36:1)],[t36:1,t34:2]) ).
cnf(t38,plain,
( convergent_lines(sK1,sK1)
| ~ convergent_lines(sK1,sK2)
| convergent_lines(sK2,sK1) ),
inference(extension,[status(thm),parent(t36:2)],[f_6_5]) ).
cnf(t39,plain,
$false,
inference(connection,[status(thm),parent(t38:1)],[t38:1,t36:2]) ).
cnf(t40,plain,
$false,
inference(reduction,[status(thm),parent(t38:2)],[t38:2,t1:1]) ).
cnf(t41,plain,
~ convergent_lines(sK1,sK1),
inference(extension,[status(thm),parent(t38:3)],[f_3_4]) ).
cnf(t42,plain,
$false,
inference(connection,[status(thm),parent(t41:1)],[t41:1,t38:3]) ).
cnf(t43,plain,
~ distinct_points(intersection_point(sK2,sK1),intersection_point(sK2,sK1)),
inference(extension,[status(thm),parent(t36:3)],[f_1_4]) ).
cnf(t44,plain,
$false,
inference(connection,[status(thm),parent(t43:1)],[t43:1,t36:3]) ).
cnf(t45,plain,
( distinct_points(intersection_point(sK1,sK2),intersection_point(sK1,sK2))
| apart_point_and_line(intersection_point(sK1,sK2),sK2)
| ~ apart_point_and_line(intersection_point(sK1,sK2),sK2) ),
inference(extension,[status(thm),parent(t4:6)],[f_10_5]) ).
cnf(t46,plain,
$false,
inference(connection,[status(thm),parent(t45:1)],[t45:1,t4:6]) ).
cnf(t47,plain,
( ~ sP1(intersection_point(sK1,sK2),sK1,sK2)
| ~ apart_point_and_line(intersection_point(sK1,sK2),sK2) ),
inference(extension,[status(thm),parent(t45:2)],[f_8_7]) ).
cnf(t48,plain,
$false,
inference(connection,[status(thm),parent(t47:1)],[t47:1,t45:2]) ).
cnf(t49,plain,
( distinct_points(intersection_point(sK1,sK2),intersection_point(sK1,sK2))
| ~ convergent_lines(sK1,sK2)
| sP1(intersection_point(sK1,sK2),sK1,sK2) ),
inference(extension,[status(thm),parent(t47:2)],[f_8_5]) ).
cnf(t50,plain,
$false,
inference(connection,[status(thm),parent(t49:1)],[t49:1,t47:2]) ).
cnf(t51,plain,
$false,
inference(reduction,[status(thm),parent(t49:2)],[t49:2,t1:1]) ).
cnf(t52,plain,
~ distinct_points(intersection_point(sK1,sK2),intersection_point(sK1,sK2)),
inference(extension,[status(thm),parent(t49:3)],[f_1_4]) ).
cnf(t53,plain,
$false,
inference(connection,[status(thm),parent(t52:1)],[t52:1,t49:3]) ).
cnf(t54,plain,
~ distinct_points(intersection_point(sK1,sK2),intersection_point(sK1,sK2)),
inference(extension,[status(thm),parent(t45:3)],[f_1_4]) ).
cnf(t55,plain,
$false,
inference(connection,[status(thm),parent(t54:1)],[t54:1,t45:3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO199+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.03 This is a FOF_THM_RFO_NEQ problem
% 0.00/0.04 % Command : /export/starexec/sandbox2/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/5.37 % Computer : n020.cluster.edu
% 0.11/5.37 % Model : x86_64 x86_64
% 0.11/5.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/5.37 % Memory : 8046.5625MB
% 0.11/5.37 % OS : Linux 6.8.0-71-generic
% 0.11/5.37 % CPULimit : 300
% 0.11/5.37 % WCLimit : 300
% 0.11/5.37 % DateTime : Sat Sep 19 07:41:52 UTC 2026
% 0.11/5.37 % CPUTime :
% 30.65/35.94 % SZS status Theorem for theBenchmark
% 30.65/35.94 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------