%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : SEU319+1 : 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 : 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 08:58:59 AM UTC 2026
% Result : Theorem 206.46s 206.72s
% Output : Proof 206.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 9
% Syntax : Number of formulae : 114 ( 59 unt; 0 def)
% Number of atoms : 244 ( 38 equ)
% Maximal formula atoms : 12 ( 2 avg)
% Number of connectives : 230 ( 100 ~; 92 |; 26 &)
% ( 3 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 3 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 2 con; 0-3 aty)
% Number of variables : 55 ( 0 sgn 28 !; 5 ?)
% Comments :
%------------------------------------------------------------------------------
fof(d6_pre_topc,axiom,
! [A] :
( top_str(A)
=> ! [B] :
( element(B,powerset(the_carrier(A)))
=> ( closed_subset(B,A)
<=> open_subset(subset_difference(the_carrier(A),cast_as_carrier_subset(A),B),A) ) ) ),
file('theBenchmark.p',d6_pre_topc) ).
fof(dt_l1_pre_topc,axiom,
! [A] :
( top_str(A)
=> one_sorted_str(A) ),
file('theBenchmark.p',dt_l1_pre_topc) ).
fof(t17_pre_topc,axiom,
! [A] :
( one_sorted_str(A)
=> ! [B] :
( element(B,powerset(the_carrier(A)))
=> subset_complement(the_carrier(A),B) = subset_difference(the_carrier(A),cast_as_carrier_subset(A),B) ) ),
file('theBenchmark.p',t17_pre_topc) ).
fof(t29_tops_1,conjecture,
! [A] :
( top_str(A)
=> ! [B] :
( element(B,powerset(the_carrier(A)))
=> ( closed_subset(B,A)
<=> open_subset(subset_complement(the_carrier(A),B),A) ) ) ),
file('theBenchmark.p',t29_tops_1) ).
fof(f_1_1,plain,
! [A] :
( ! [B] :
( ( ( closed_subset(B,A)
| ~ open_subset(subset_difference(the_carrier(A),cast_as_carrier_subset(A),B),A) )
& ( open_subset(subset_difference(the_carrier(A),cast_as_carrier_subset(A),B),A)
| ~ closed_subset(B,A) ) )
| ~ element(B,powerset(the_carrier(A))) )
| ~ top_str(A) ),
inference(fof_nnf,[status(thm)],[d6_pre_topc]) ).
fof(f_1_2,plain,
! [U_1] :
( ! [U_0] :
( ( ( closed_subset(U_0,U_1)
| ~ open_subset(subset_difference(the_carrier(U_1),cast_as_carrier_subset(U_1),U_0),U_1) )
& ( open_subset(subset_difference(the_carrier(U_1),cast_as_carrier_subset(U_1),U_0),U_1)
| ~ closed_subset(U_0,U_1) ) )
| ~ element(U_0,powerset(the_carrier(U_1))) )
| ~ top_str(U_1) ),
inference(variable_rename,[status(thm)],[f_1_1]) ).
fof(f_1_3,plain,
( ! [U_1,U_0] :
( closed_subset(U_0,U_1)
| ~ open_subset(subset_difference(the_carrier(U_1),cast_as_carrier_subset(U_1),U_0),U_1)
| ~ sP0(U_1,U_0) )
& ! [U_1,U_0] :
( open_subset(subset_difference(the_carrier(U_1),cast_as_carrier_subset(U_1),U_0),U_1)
| ~ closed_subset(U_0,U_1)
| ~ sP0(U_1,U_0) )
& ! [U_1,U_0] :
( sP0(U_1,U_0)
| ~ element(U_0,powerset(the_carrier(U_1)))
| ~ top_str(U_1) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP0])],[f_1_2]) ).
cnf(f_1_4,plain,
( sP0(U_1,U_0)
| ~ element(U_0,powerset(the_carrier(U_1)))
| ~ top_str(U_1) ),
inference(clausify,[status(thm)],[f_1_3]) ).
cnf(f_1_5,plain,
( open_subset(subset_difference(the_carrier(U_1),cast_as_carrier_subset(U_1),U_0),U_1)
| ~ closed_subset(U_0,U_1)
| ~ sP0(U_1,U_0) ),
inference(clausify,[status(thm)],[f_1_3]) ).
cnf(f_1_6,plain,
( closed_subset(U_0,U_1)
| ~ open_subset(subset_difference(the_carrier(U_1),cast_as_carrier_subset(U_1),U_0),U_1)
| ~ sP0(U_1,U_0) ),
inference(clausify,[status(thm)],[f_1_3]) ).
fof(f_7_1,plain,
! [A] :
( one_sorted_str(A)
| ~ top_str(A) ),
inference(fof_nnf,[status(thm)],[dt_l1_pre_topc]) ).
fof(f_7_2,plain,
! [U_8] :
( one_sorted_str(U_8)
| ~ top_str(U_8) ),
inference(variable_rename,[status(thm)],[f_7_1]) ).
fof(f_7_3,plain,
! [U_8] :
( one_sorted_str(U_8)
| ~ top_str(U_8) ),
inference(definitional_conversion,[status(esa)],[f_7_2]) ).
cnf(f_7_4,plain,
( one_sorted_str(U_8)
| ~ top_str(U_8) ),
inference(clausify,[status(thm)],[f_7_3]) ).
fof(f_17_1,plain,
! [A] :
( ! [B] :
( subset_complement(the_carrier(A),B) = subset_difference(the_carrier(A),cast_as_carrier_subset(A),B)
| ~ element(B,powerset(the_carrier(A))) )
| ~ one_sorted_str(A) ),
inference(fof_nnf,[status(thm)],[t17_pre_topc]) ).
fof(f_17_2,plain,
! [U_21] :
( ! [U_20] :
( subset_complement(the_carrier(U_21),U_20) = subset_difference(the_carrier(U_21),cast_as_carrier_subset(U_21),U_20)
| ~ element(U_20,powerset(the_carrier(U_21))) )
| ~ one_sorted_str(U_21) ),
inference(variable_rename,[status(thm)],[f_17_1]) ).
fof(f_17_3,plain,
! [U_20,U_21] :
( subset_complement(the_carrier(U_21),U_20) = subset_difference(the_carrier(U_21),cast_as_carrier_subset(U_21),U_20)
| ~ element(U_20,powerset(the_carrier(U_21)))
| ~ one_sorted_str(U_21) ),
inference(definitional_conversion,[status(esa)],[f_17_2]) ).
cnf(f_17_4,plain,
( subset_complement(the_carrier(U_21),U_20) = subset_difference(the_carrier(U_21),cast_as_carrier_subset(U_21),U_20)
| ~ element(U_20,powerset(the_carrier(U_21)))
| ~ one_sorted_str(U_21) ),
inference(clausify,[status(thm)],[f_17_3]) ).
fof(f_18_1,negated_conjecture,
~ ! [A] :
( top_str(A)
=> ! [B] :
( element(B,powerset(the_carrier(A)))
=> ( closed_subset(B,A)
<=> open_subset(subset_complement(the_carrier(A),B),A) ) ) ),
inference(negate,[status(cth)],[t29_tops_1]) ).
fof(f_18_2,negated_conjecture,
? [A] :
( ? [B] :
( ( ( ~ closed_subset(B,A)
& open_subset(subset_complement(the_carrier(A),B),A) )
| ( ~ open_subset(subset_complement(the_carrier(A),B),A)
& closed_subset(B,A) ) )
& element(B,powerset(the_carrier(A))) )
& top_str(A) ),
inference(fof_nnf,[status(thm)],[f_18_1]) ).
fof(f_18_3,negated_conjecture,
? [U_23] :
( ? [U_22] :
( ( ( ~ closed_subset(U_22,U_23)
& open_subset(subset_complement(the_carrier(U_23),U_22),U_23) )
| ( ~ open_subset(subset_complement(the_carrier(U_23),U_22),U_23)
& closed_subset(U_22,U_23) ) )
& element(U_22,powerset(the_carrier(U_23))) )
& top_str(U_23) ),
inference(variable_rename,[status(thm)],[f_18_2]) ).
fof(f_18_4,negated_conjecture,
( ? [U_22] :
( ( ( ~ closed_subset(U_22,sK4)
& open_subset(subset_complement(the_carrier(sK4),U_22),sK4) )
| ( ~ open_subset(subset_complement(the_carrier(sK4),U_22),sK4)
& closed_subset(U_22,sK4) ) )
& element(U_22,powerset(the_carrier(sK4))) )
& top_str(sK4) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4]),skolemize(U_23,sK4)],[f_18_3]) ).
fof(f_18_5,negated_conjecture,
( ( ( ~ closed_subset(sK5,sK4)
& open_subset(subset_complement(the_carrier(sK4),sK5),sK4) )
| ( ~ open_subset(subset_complement(the_carrier(sK4),sK5),sK4)
& closed_subset(sK5,sK4) ) )
& element(sK5,powerset(the_carrier(sK4)))
& top_str(sK4) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5]),skolemize(U_22,sK5)],[f_18_4]) ).
fof(f_18_6,negated_conjecture,
( ( ~ closed_subset(sK5,sK4)
| ~ sP2 )
& ( open_subset(subset_complement(the_carrier(sK4),sK5),sK4)
| ~ sP2 )
& ( ~ open_subset(subset_complement(the_carrier(sK4),sK5),sK4)
| ~ sP1 )
& ( closed_subset(sK5,sK4)
| ~ sP1 )
& ( sP2
| sP1 )
& element(sK5,powerset(the_carrier(sK4)))
& top_str(sK4) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1,sP2])],[f_18_5]) ).
cnf(f_18_7,negated_conjecture,
top_str(sK4),
inference(clausify,[status(thm)],[f_18_6]) ).
cnf(f_18_8,negated_conjecture,
element(sK5,powerset(the_carrier(sK4))),
inference(clausify,[status(thm)],[f_18_6]) ).
cnf(f_18_9,negated_conjecture,
( sP2
| sP1 ),
inference(clausify,[status(thm)],[f_18_6]) ).
cnf(f_18_10,negated_conjecture,
( closed_subset(sK5,sK4)
| ~ sP1 ),
inference(clausify,[status(thm)],[f_18_6]) ).
cnf(f_18_11,negated_conjecture,
( ~ open_subset(subset_complement(the_carrier(sK4),sK5),sK4)
| ~ sP1 ),
inference(clausify,[status(thm)],[f_18_6]) ).
cnf(f_18_12,negated_conjecture,
( open_subset(subset_complement(the_carrier(sK4),sK5),sK4)
| ~ sP2 ),
inference(clausify,[status(thm)],[f_18_6]) ).
cnf(f_18_13,negated_conjecture,
( ~ closed_subset(sK5,sK4)
| ~ sP2 ),
inference(clausify,[status(thm)],[f_18_6]) ).
cnf(equality_1,axiom,
Eq_x_0 = Eq_x_0,
theory(equality,[reflexivity]) ).
cnf(equality_2,axiom,
( Eq_x_1 = Eq_x_0
| Eq_x_0 != Eq_x_1 ),
theory(equality,[symmetry]) ).
cnf(equality_11,axiom,
( top_str(Eq_y_0)
| ~ top_str(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_12,axiom,
( element(Eq_y_0,Eq_y_1)
| ~ element(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_14,axiom,
( open_subset(Eq_y_0,Eq_y_1)
| ~ open_subset(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(t1,plain,
( ~ open_subset(subset_complement(the_carrier(sK4),sK5),sK4)
| ~ sP1 ),
inference(start,[status(thm),parent(0:0)],[f_18_11]) ).
cnf(t2,plain,
( sP2
| sP1 ),
inference(extension,[status(thm),parent(t1:1)],[f_18_9]) ).
cnf(t3,plain,
$false,
inference(connection,[status(thm),parent(t2:1)],[t2:1,t1:1]) ).
cnf(t4,plain,
( open_subset(subset_complement(the_carrier(sK4),sK5),sK4)
| ~ sP2 ),
inference(extension,[status(thm),parent(t2:2)],[f_18_12]) ).
cnf(t5,plain,
$false,
inference(connection,[status(thm),parent(t4:1)],[t4:1,t2:2]) ).
cnf(t6,plain,
( subset_complement(the_carrier(sK4),sK5) != subset_difference(the_carrier(sK4),cast_as_carrier_subset(sK4),sK5)
| open_subset(subset_difference(the_carrier(sK4),cast_as_carrier_subset(sK4),sK5),sK4)
| sK4 != sK4
| ~ open_subset(subset_complement(the_carrier(sK4),sK5),sK4) ),
inference(extension,[status(thm),parent(t4:2)],[equality_14]) ).
cnf(t7,plain,
$false,
inference(connection,[status(thm),parent(t6:1)],[t6:1,t4:2]) ).
cnf(t8,plain,
( sK4 != sK4
| sK4 = sK4 ),
inference(extension,[status(thm),parent(t6:2)],[equality_2]) ).
cnf(t9,plain,
$false,
inference(connection,[status(thm),parent(t8:1)],[t8:1,t6:2]) ).
cnf(t10,plain,
sK4 = sK4,
inference(extension,[status(thm),parent(t8:2)],[equality_1]) ).
cnf(t11,plain,
$false,
inference(connection,[status(thm),parent(t10:1)],[t10:1,t8:2]) ).
cnf(t12,plain,
( ~ sP0(sK4,sK5)
| closed_subset(sK5,sK4)
| ~ open_subset(subset_difference(the_carrier(sK4),cast_as_carrier_subset(sK4),sK5),sK4) ),
inference(extension,[status(thm),parent(t6:3)],[f_1_6]) ).
cnf(t13,plain,
$false,
inference(connection,[status(thm),parent(t12:1)],[t12:1,t6:3]) ).
cnf(t14,plain,
( ~ sP2
| ~ closed_subset(sK5,sK4) ),
inference(extension,[status(thm),parent(t12:2)],[f_18_13]) ).
cnf(t15,plain,
$false,
inference(connection,[status(thm),parent(t14:1)],[t14:1,t12:2]) ).
cnf(t16,plain,
$false,
inference(reduction,[status(thm),parent(t14:2)],[t14:2,t2:2]) ).
cnf(t17,plain,
( ~ element(sK5,powerset(the_carrier(sK4)))
| ~ top_str(sK4)
| sP0(sK4,sK5) ),
inference(extension,[status(thm),parent(t12:3)],[f_1_4]) ).
cnf(t18,plain,
$false,
inference(connection,[status(thm),parent(t17:1)],[t17:1,t12:3]) ).
cnf(t19,plain,
top_str(sK4),
inference(extension,[status(thm),parent(t17:2)],[f_18_7]) ).
cnf(t20,plain,
$false,
inference(connection,[status(thm),parent(t19:1)],[t19:1,t17:2]) ).
cnf(t21,plain,
element(sK5,powerset(the_carrier(sK4))),
inference(extension,[status(thm),parent(t17:3)],[f_18_8]) ).
cnf(t22,plain,
$false,
inference(connection,[status(thm),parent(t21:1)],[t21:1,t17:3]) ).
cnf(t23,plain,
( ~ element(sK5,powerset(the_carrier(sK4)))
| ~ one_sorted_str(sK4)
| subset_complement(the_carrier(sK4),sK5) = subset_difference(the_carrier(sK4),cast_as_carrier_subset(sK4),sK5) ),
inference(extension,[status(thm),parent(t6:4)],[f_17_4]) ).
cnf(t24,plain,
$false,
inference(connection,[status(thm),parent(t23:1)],[t23:1,t6:4]) ).
cnf(t25,plain,
( ~ top_str(sK4)
| one_sorted_str(sK4) ),
inference(extension,[status(thm),parent(t23:2)],[f_7_4]) ).
cnf(t26,plain,
$false,
inference(connection,[status(thm),parent(t25:1)],[t25:1,t23:2]) ).
cnf(t27,plain,
top_str(sK4),
inference(extension,[status(thm),parent(t25:2)],[f_18_7]) ).
cnf(t28,plain,
$false,
inference(connection,[status(thm),parent(t27:1)],[t27:1,t25:2]) ).
cnf(t29,plain,
( sK5 != sK5
| powerset(the_carrier(sK4)) != powerset(the_carrier(sK4))
| ~ element(sK5,powerset(the_carrier(sK4)))
| element(sK5,powerset(the_carrier(sK4))) ),
inference(extension,[status(thm),parent(t23:3)],[equality_12]) ).
cnf(t30,plain,
$false,
inference(connection,[status(thm),parent(t29:1)],[t29:1,t23:3]) ).
cnf(t31,plain,
element(sK5,powerset(the_carrier(sK4))),
inference(extension,[status(thm),parent(t29:2)],[f_18_8]) ).
cnf(t32,plain,
$false,
inference(connection,[status(thm),parent(t31:1)],[t31:1,t29:2]) ).
cnf(t33,plain,
powerset(the_carrier(sK4)) = powerset(the_carrier(sK4)),
inference(extension,[status(thm),parent(t29:3)],[equality_1]) ).
cnf(t34,plain,
$false,
inference(connection,[status(thm),parent(t33:1)],[t33:1,t29:3]) ).
cnf(t35,plain,
sK5 = sK5,
inference(extension,[status(thm),parent(t29:4)],[equality_1]) ).
cnf(t36,plain,
$false,
inference(connection,[status(thm),parent(t35:1)],[t35:1,t29:4]) ).
cnf(l1,lemma,
sP1,
inference(lemma,[status(cth),parent(t1:1),below(0:0)],[t1:1]) ).
cnf(t37,plain,
( subset_difference(the_carrier(sK4),cast_as_carrier_subset(sK4),sK5) != subset_complement(the_carrier(sK4),sK5)
| ~ open_subset(subset_difference(the_carrier(sK4),cast_as_carrier_subset(sK4),sK5),sK4)
| sK4 != sK4
| open_subset(subset_complement(the_carrier(sK4),sK5),sK4) ),
inference(extension,[status(thm),parent(t1:2)],[equality_14]) ).
cnf(t38,plain,
$false,
inference(connection,[status(thm),parent(t37:1)],[t37:1,t1:2]) ).
cnf(t39,plain,
( sK4 != sK4
| sK4 = sK4 ),
inference(extension,[status(thm),parent(t37:2)],[equality_2]) ).
cnf(t40,plain,
$false,
inference(connection,[status(thm),parent(t39:1)],[t39:1,t37:2]) ).
cnf(t41,plain,
sK4 = sK4,
inference(extension,[status(thm),parent(t39:2)],[equality_1]) ).
cnf(t42,plain,
$false,
inference(connection,[status(thm),parent(t41:1)],[t41:1,t39:2]) ).
cnf(l20,lemma,
sK4 = sK4,
inference(lemma,[status(cth),parent(t37:2),below(t1:2)],[t37:2]) ).
cnf(t43,plain,
( ~ sP0(sK4,sK5)
| ~ closed_subset(sK5,sK4)
| open_subset(subset_difference(the_carrier(sK4),cast_as_carrier_subset(sK4),sK5),sK4) ),
inference(extension,[status(thm),parent(t37:3)],[f_1_5]) ).
cnf(t44,plain,
$false,
inference(connection,[status(thm),parent(t43:1)],[t43:1,t37:3]) ).
cnf(t45,plain,
( ~ sP1
| closed_subset(sK5,sK4) ),
inference(extension,[status(thm),parent(t43:2)],[f_18_10]) ).
cnf(t46,plain,
$false,
inference(connection,[status(thm),parent(t45:1)],[t45:1,t43:2]) ).
cnf(t47,plain,
sP1,
inference(lemma_extension,[status(thm),parent(t45:2)],[l1:1]) ).
cnf(t48,plain,
$false,
inference(connection,[status(thm),parent(t47:1)],[t47:1,t45:2]) ).
cnf(t49,plain,
( ~ element(sK5,powerset(the_carrier(sK4)))
| ~ top_str(sK4)
| sP0(sK4,sK5) ),
inference(extension,[status(thm),parent(t43:3)],[f_1_4]) ).
cnf(t50,plain,
$false,
inference(connection,[status(thm),parent(t49:1)],[t49:1,t43:3]) ).
cnf(t51,plain,
( sK4 != sK4
| ~ top_str(sK4)
| top_str(sK4) ),
inference(extension,[status(thm),parent(t49:2)],[equality_11]) ).
cnf(t52,plain,
$false,
inference(connection,[status(thm),parent(t51:1)],[t51:1,t49:2]) ).
cnf(t53,plain,
( sK4 != sK4
| ~ top_str(sK4)
| top_str(sK4) ),
inference(extension,[status(thm),parent(t51:2)],[equality_11]) ).
cnf(t54,plain,
$false,
inference(connection,[status(thm),parent(t53:1)],[t53:1,t51:2]) ).
cnf(t55,plain,
top_str(sK4),
inference(extension,[status(thm),parent(t53:2)],[f_18_7]) ).
cnf(t56,plain,
$false,
inference(connection,[status(thm),parent(t55:1)],[t55:1,t53:2]) ).
cnf(t57,plain,
sK4 = sK4,
inference(extension,[status(thm),parent(t53:3)],[equality_1]) ).
cnf(t58,plain,
$false,
inference(connection,[status(thm),parent(t57:1)],[t57:1,t53:3]) ).
cnf(t59,plain,
sK4 = sK4,
inference(lemma_extension,[status(thm),parent(t51:3)],[l20:1]) ).
cnf(t60,plain,
$false,
inference(connection,[status(thm),parent(t59:1)],[t59:1,t51:3]) ).
cnf(t61,plain,
element(sK5,powerset(the_carrier(sK4))),
inference(extension,[status(thm),parent(t49:3)],[f_18_8]) ).
cnf(t62,plain,
$false,
inference(connection,[status(thm),parent(t61:1)],[t61:1,t49:3]) ).
cnf(t63,plain,
( subset_complement(the_carrier(sK4),sK5) != subset_difference(the_carrier(sK4),cast_as_carrier_subset(sK4),sK5)
| subset_difference(the_carrier(sK4),cast_as_carrier_subset(sK4),sK5) = subset_complement(the_carrier(sK4),sK5) ),
inference(extension,[status(thm),parent(t37:4)],[equality_2]) ).
cnf(t64,plain,
$false,
inference(connection,[status(thm),parent(t63:1)],[t63:1,t37:4]) ).
cnf(t65,plain,
( ~ element(sK5,powerset(the_carrier(sK4)))
| ~ one_sorted_str(sK4)
| subset_complement(the_carrier(sK4),sK5) = subset_difference(the_carrier(sK4),cast_as_carrier_subset(sK4),sK5) ),
inference(extension,[status(thm),parent(t63:2)],[f_17_4]) ).
cnf(t66,plain,
$false,
inference(connection,[status(thm),parent(t65:1)],[t65:1,t63:2]) ).
cnf(t67,plain,
( ~ top_str(sK4)
| one_sorted_str(sK4) ),
inference(extension,[status(thm),parent(t65:2)],[f_7_4]) ).
cnf(t68,plain,
$false,
inference(connection,[status(thm),parent(t67:1)],[t67:1,t65:2]) ).
cnf(t69,plain,
( sK4 != sK4
| ~ top_str(sK4)
| top_str(sK4) ),
inference(extension,[status(thm),parent(t67:2)],[equality_11]) ).
cnf(t70,plain,
$false,
inference(connection,[status(thm),parent(t69:1)],[t69:1,t67:2]) ).
cnf(t71,plain,
top_str(sK4),
inference(extension,[status(thm),parent(t69:2)],[f_18_7]) ).
cnf(t72,plain,
$false,
inference(connection,[status(thm),parent(t71:1)],[t71:1,t69:2]) ).
cnf(t73,plain,
sK4 = sK4,
inference(lemma_extension,[status(thm),parent(t69:3)],[l20:1]) ).
cnf(t74,plain,
$false,
inference(connection,[status(thm),parent(t73:1)],[t73:1,t69:3]) ).
cnf(t75,plain,
element(sK5,powerset(the_carrier(sK4))),
inference(extension,[status(thm),parent(t65:3)],[f_18_8]) ).
cnf(t76,plain,
$false,
inference(connection,[status(thm),parent(t75:1)],[t75:1,t65:3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU319+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.03 This is a FOF_THM_RFO_SEQ 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
% 0.11/0.37 % Computer : n015.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sat Sep 19 23:58:06 UTC 2026
% 0.11/0.38 % CPUTime :
% 206.46/206.72 % SZS status Theorem for theBenchmark
% 206.46/206.72 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------