%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : SET641+3 : TPTP v9.3.1. Released v2.2.0.
% 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 : n019.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 08:57:12 AM UTC 2026
% Result : Theorem 79.13s 89.46s
% Output : Proof 79.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 8
% Syntax : Number of formulae : 91 ( 50 unt; 0 def)
% Number of atoms : 277 ( 0 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 302 ( 116 ~; 108 |; 49 &)
% ( 4 <=>; 25 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 4 con; 0-2 aty)
% Number of variables : 89 ( 1 sgn 60 !; 13 ?)
% Comments :
%------------------------------------------------------------------------------
fof(p1,axiom,
! [B] :
( ilf_type(B,set_type)
=> ! [C] :
( ilf_type(C,set_type)
=> ( ! [E] :
( ilf_type(E,relation_type(B,C))
=> ilf_type(E,subset_type(cross_product(B,C))) )
& ! [D] :
( ilf_type(D,subset_type(cross_product(B,C)))
=> ilf_type(D,relation_type(B,C)) ) ) ) ),
file('theBenchmark.p',p1) ).
fof(p5,axiom,
! [B] :
( ilf_type(B,set_type)
=> ! [C] :
( ilf_type(C,set_type)
=> ( subset(B,C)
<=> ! [D] :
( ilf_type(D,set_type)
=> ( member(D,B)
=> member(D,C) ) ) ) ) ),
file('theBenchmark.p',p5) ).
fof(p7,axiom,
! [B] :
( ilf_type(B,set_type)
=> ! [C] :
( ilf_type(C,set_type)
=> ( ilf_type(C,subset_type(B))
<=> ilf_type(C,member_type(power_set(B))) ) ) ),
file('theBenchmark.p',p7) ).
fof(p10,axiom,
! [B] :
( ilf_type(B,set_type)
=> ! [C] :
( ilf_type(C,set_type)
=> ( member(B,power_set(C))
<=> ! [D] :
( ilf_type(D,set_type)
=> ( member(D,B)
=> member(D,C) ) ) ) ) ),
file('theBenchmark.p',p10) ).
fof(p11,axiom,
! [B] :
( ilf_type(B,set_type)
=> ( ilf_type(power_set(B),set_type)
& ~ empty(power_set(B)) ) ),
file('theBenchmark.p',p11) ).
fof(p12,axiom,
! [B] :
( ilf_type(B,set_type)
=> ! [C] :
( ( ilf_type(C,set_type)
& ~ empty(C) )
=> ( ilf_type(B,member_type(C))
<=> member(B,C) ) ) ),
file('theBenchmark.p',p12) ).
fof(p18,axiom,
! [B] : ilf_type(B,set_type),
file('theBenchmark.p',p18) ).
fof(prove_relset_1_3,conjecture,
! [B] :
( ilf_type(B,set_type)
=> ! [C] :
( ilf_type(C,set_type)
=> ! [D] :
( ilf_type(D,set_type)
=> ( subset(B,cross_product(C,D))
=> ilf_type(B,relation_type(C,D)) ) ) ) ),
file('theBenchmark.p',prove_relset_1_3) ).
fof(f_1_1,plain,
! [B] :
( ! [C] :
( ( ! [E] :
( ilf_type(E,subset_type(cross_product(B,C)))
| ~ ilf_type(E,relation_type(B,C)) )
& ! [D] :
( ilf_type(D,relation_type(B,C))
| ~ ilf_type(D,subset_type(cross_product(B,C))) ) )
| ~ ilf_type(C,set_type) )
| ~ ilf_type(B,set_type) ),
inference(fof_nnf,[status(thm)],[p1]) ).
fof(f_1_2,plain,
! [U_3] :
( ! [U_2] :
( ( ! [U_1] :
( ilf_type(U_1,subset_type(cross_product(U_3,U_2)))
| ~ ilf_type(U_1,relation_type(U_3,U_2)) )
& ! [U_0] :
( ilf_type(U_0,relation_type(U_3,U_2))
| ~ ilf_type(U_0,subset_type(cross_product(U_3,U_2))) ) )
| ~ ilf_type(U_2,set_type) )
| ~ ilf_type(U_3,set_type) ),
inference(variable_rename,[status(thm)],[f_1_1]) ).
cnf(f_1_3,plain,
( ilf_type(U_0,relation_type(U_3,U_2))
| ~ ilf_type(U_0,subset_type(cross_product(U_3,U_2)))
| ~ ilf_type(U_2,set_type)
| ~ ilf_type(U_3,set_type) ),
inference(clausify,[status(thm)],[f_1_2]) ).
fof(f_5_1,plain,
! [B] :
( ! [C] :
( ( ( subset(B,C)
| ? [D] :
( ~ member(D,C)
& member(D,B)
& ilf_type(D,set_type) ) )
& ( ! [D] :
( member(D,C)
| ~ member(D,B)
| ~ ilf_type(D,set_type) )
| ~ subset(B,C) ) )
| ~ ilf_type(C,set_type) )
| ~ ilf_type(B,set_type) ),
inference(fof_nnf,[status(thm)],[p5]) ).
fof(f_5_2,plain,
! [U_19] :
( ! [U_18] :
( ( ( subset(U_19,U_18)
| ? [U_17] :
( ~ member(U_17,U_18)
& member(U_17,U_19)
& ilf_type(U_17,set_type) ) )
& ( ! [U_16] :
( member(U_16,U_18)
| ~ member(U_16,U_19)
| ~ ilf_type(U_16,set_type) )
| ~ subset(U_19,U_18) ) )
| ~ ilf_type(U_18,set_type) )
| ~ ilf_type(U_19,set_type) ),
inference(variable_rename,[status(thm)],[f_5_1]) ).
fof(f_5_3,plain,
! [U_19] :
( ! [U_18] :
( ( ( subset(U_19,U_18)
| ( ~ member(sK4(U_19,U_18),U_18)
& member(sK4(U_19,U_18),U_19)
& ilf_type(sK4(U_19,U_18),set_type) ) )
& ( ! [U_16] :
( member(U_16,U_18)
| ~ member(U_16,U_19)
| ~ ilf_type(U_16,set_type) )
| ~ subset(U_19,U_18) ) )
| ~ ilf_type(U_18,set_type) )
| ~ ilf_type(U_19,set_type) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4]),skolemize(U_17,sK4(U_19,U_18))],[f_5_2]) ).
cnf(f_5_4,plain,
( member(U_16,U_18)
| ~ member(U_16,U_19)
| ~ ilf_type(U_16,set_type)
| ~ subset(U_19,U_18)
| ~ ilf_type(U_18,set_type)
| ~ ilf_type(U_19,set_type) ),
inference(clausify,[status(thm)],[f_5_3]) ).
fof(f_7_1,plain,
! [B] :
( ! [C] :
( ( ( ilf_type(C,subset_type(B))
| ~ ilf_type(C,member_type(power_set(B))) )
& ( ilf_type(C,member_type(power_set(B)))
| ~ ilf_type(C,subset_type(B)) ) )
| ~ ilf_type(C,set_type) )
| ~ ilf_type(B,set_type) ),
inference(fof_nnf,[status(thm)],[p7]) ).
fof(f_7_2,plain,
! [U_23] :
( ! [U_22] :
( ( ( ilf_type(U_22,subset_type(U_23))
| ~ ilf_type(U_22,member_type(power_set(U_23))) )
& ( ilf_type(U_22,member_type(power_set(U_23)))
| ~ ilf_type(U_22,subset_type(U_23)) ) )
| ~ ilf_type(U_22,set_type) )
| ~ ilf_type(U_23,set_type) ),
inference(variable_rename,[status(thm)],[f_7_1]) ).
cnf(f_7_4,plain,
( ilf_type(U_22,subset_type(U_23))
| ~ ilf_type(U_22,member_type(power_set(U_23)))
| ~ ilf_type(U_22,set_type)
| ~ ilf_type(U_23,set_type) ),
inference(clausify,[status(thm)],[f_7_2]) ).
fof(f_10_1,plain,
! [B] :
( ! [C] :
( ( ( member(B,power_set(C))
| ? [D] :
( ~ member(D,C)
& member(D,B)
& ilf_type(D,set_type) ) )
& ( ! [D] :
( member(D,C)
| ~ member(D,B)
| ~ ilf_type(D,set_type) )
| ~ member(B,power_set(C)) ) )
| ~ ilf_type(C,set_type) )
| ~ ilf_type(B,set_type) ),
inference(fof_nnf,[status(thm)],[p10]) ).
fof(f_10_2,plain,
! [U_30] :
( ! [U_29] :
( ( ( member(U_30,power_set(U_29))
| ? [U_28] :
( ~ member(U_28,U_29)
& member(U_28,U_30)
& ilf_type(U_28,set_type) ) )
& ( ! [U_27] :
( member(U_27,U_29)
| ~ member(U_27,U_30)
| ~ ilf_type(U_27,set_type) )
| ~ member(U_30,power_set(U_29)) ) )
| ~ ilf_type(U_29,set_type) )
| ~ ilf_type(U_30,set_type) ),
inference(variable_rename,[status(thm)],[f_10_1]) ).
fof(f_10_3,plain,
! [U_30] :
( ! [U_29] :
( ( ( member(U_30,power_set(U_29))
| ( ~ member(sK6(U_30,U_29),U_29)
& member(sK6(U_30,U_29),U_30)
& ilf_type(sK6(U_30,U_29),set_type) ) )
& ( ! [U_27] :
( member(U_27,U_29)
| ~ member(U_27,U_30)
| ~ ilf_type(U_27,set_type) )
| ~ member(U_30,power_set(U_29)) ) )
| ~ ilf_type(U_29,set_type) )
| ~ ilf_type(U_30,set_type) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK6]),skolemize(U_28,sK6(U_30,U_29))],[f_10_2]) ).
cnf(f_10_6,plain,
( member(sK6(U_30,U_29),U_30)
| member(U_30,power_set(U_29))
| ~ ilf_type(U_29,set_type)
| ~ ilf_type(U_30,set_type) ),
inference(clausify,[status(thm)],[f_10_3]) ).
cnf(f_10_7,plain,
( ~ member(sK6(U_30,U_29),U_29)
| member(U_30,power_set(U_29))
| ~ ilf_type(U_29,set_type)
| ~ ilf_type(U_30,set_type) ),
inference(clausify,[status(thm)],[f_10_3]) ).
fof(f_11_1,plain,
! [B] :
( ( ilf_type(power_set(B),set_type)
& ~ empty(power_set(B)) )
| ~ ilf_type(B,set_type) ),
inference(fof_nnf,[status(thm)],[p11]) ).
fof(f_11_2,plain,
! [U_31] :
( ( ilf_type(power_set(U_31),set_type)
& ~ empty(power_set(U_31)) )
| ~ ilf_type(U_31,set_type) ),
inference(variable_rename,[status(thm)],[f_11_1]) ).
cnf(f_11_3,plain,
( ~ empty(power_set(U_31))
| ~ ilf_type(U_31,set_type) ),
inference(clausify,[status(thm)],[f_11_2]) ).
fof(f_12_1,plain,
! [B] :
( ! [C] :
( ( ( ilf_type(B,member_type(C))
| ~ member(B,C) )
& ( member(B,C)
| ~ ilf_type(B,member_type(C)) ) )
| ~ ilf_type(C,set_type)
| empty(C) )
| ~ ilf_type(B,set_type) ),
inference(fof_nnf,[status(thm)],[p12]) ).
fof(f_12_2,plain,
! [U_33] :
( ! [U_32] :
( ( ( ilf_type(U_33,member_type(U_32))
| ~ member(U_33,U_32) )
& ( member(U_33,U_32)
| ~ ilf_type(U_33,member_type(U_32)) ) )
| ~ ilf_type(U_32,set_type)
| empty(U_32) )
| ~ ilf_type(U_33,set_type) ),
inference(variable_rename,[status(thm)],[f_12_1]) ).
cnf(f_12_4,plain,
( ilf_type(U_33,member_type(U_32))
| ~ member(U_33,U_32)
| ~ ilf_type(U_32,set_type)
| empty(U_32)
| ~ ilf_type(U_33,set_type) ),
inference(clausify,[status(thm)],[f_12_2]) ).
fof(f_18_1,plain,
! [B] : ilf_type(B,set_type),
inference(fof_nnf,[status(thm)],[p18]) ).
fof(f_18_2,plain,
! [U_50] : ilf_type(U_50,set_type),
inference(variable_rename,[status(thm)],[f_18_1]) ).
cnf(f_18_3,plain,
ilf_type(U_50,set_type),
inference(clausify,[status(thm)],[f_18_2]) ).
fof(f_19_1,negated_conjecture,
~ ! [B] :
( ilf_type(B,set_type)
=> ! [C] :
( ilf_type(C,set_type)
=> ! [D] :
( ilf_type(D,set_type)
=> ( subset(B,cross_product(C,D))
=> ilf_type(B,relation_type(C,D)) ) ) ) ),
inference(negate,[status(cth)],[prove_relset_1_3]) ).
fof(f_19_2,negated_conjecture,
? [B] :
( ? [C] :
( ? [D] :
( ~ ilf_type(B,relation_type(C,D))
& subset(B,cross_product(C,D))
& ilf_type(D,set_type) )
& ilf_type(C,set_type) )
& ilf_type(B,set_type) ),
inference(fof_nnf,[status(thm)],[f_19_1]) ).
fof(f_19_3,negated_conjecture,
? [U_53] :
( ? [U_52] :
( ? [U_51] :
( ~ ilf_type(U_53,relation_type(U_52,U_51))
& subset(U_53,cross_product(U_52,U_51))
& ilf_type(U_51,set_type) )
& ilf_type(U_52,set_type) )
& ilf_type(U_53,set_type) ),
inference(variable_rename,[status(thm)],[f_19_2]) ).
fof(f_19_4,negated_conjecture,
( ? [U_52] :
( ? [U_51] :
( ~ ilf_type(sK12,relation_type(U_52,U_51))
& subset(sK12,cross_product(U_52,U_51))
& ilf_type(U_51,set_type) )
& ilf_type(U_52,set_type) )
& ilf_type(sK12,set_type) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK12]),skolemize(U_53,sK12)],[f_19_3]) ).
fof(f_19_5,negated_conjecture,
( ? [U_51] :
( ~ ilf_type(sK12,relation_type(sK13,U_51))
& subset(sK12,cross_product(sK13,U_51))
& ilf_type(U_51,set_type) )
& ilf_type(sK13,set_type)
& ilf_type(sK12,set_type) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK13]),skolemize(U_52,sK13)],[f_19_4]) ).
fof(f_19_6,negated_conjecture,
( ~ ilf_type(sK12,relation_type(sK13,sK14))
& subset(sK12,cross_product(sK13,sK14))
& ilf_type(sK14,set_type)
& ilf_type(sK13,set_type)
& ilf_type(sK12,set_type) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK14]),skolemize(U_51,sK14)],[f_19_5]) ).
cnf(f_19_7,negated_conjecture,
ilf_type(sK12,set_type),
inference(clausify,[status(thm)],[f_19_6]) ).
cnf(f_19_8,negated_conjecture,
ilf_type(sK13,set_type),
inference(clausify,[status(thm)],[f_19_6]) ).
cnf(f_19_9,negated_conjecture,
ilf_type(sK14,set_type),
inference(clausify,[status(thm)],[f_19_6]) ).
cnf(f_19_10,negated_conjecture,
subset(sK12,cross_product(sK13,sK14)),
inference(clausify,[status(thm)],[f_19_6]) ).
cnf(f_19_11,negated_conjecture,
~ ilf_type(sK12,relation_type(sK13,sK14)),
inference(clausify,[status(thm)],[f_19_6]) ).
cnf(t1,plain,
~ ilf_type(sK12,relation_type(sK13,sK14)),
inference(start,[status(thm),parent(0:0)],[f_19_11]) ).
cnf(t2,plain,
( ~ ilf_type(sK14,set_type)
| ~ ilf_type(sK12,subset_type(cross_product(sK13,sK14)))
| ~ ilf_type(sK13,set_type)
| ilf_type(sK12,relation_type(sK13,sK14)) ),
inference(extension,[status(thm),parent(t1:1)],[f_1_3]) ).
cnf(t3,plain,
$false,
inference(connection,[status(thm),parent(t2:1)],[t2:1,t1:1]) ).
cnf(t4,plain,
ilf_type(sK13,set_type),
inference(extension,[status(thm),parent(t2:2)],[f_19_8]) ).
cnf(t5,plain,
$false,
inference(connection,[status(thm),parent(t4:1)],[t4:1,t2:2]) ).
cnf(t6,plain,
( ~ ilf_type(sK12,set_type)
| ~ ilf_type(sK12,member_type(power_set(cross_product(sK13,sK14))))
| ~ ilf_type(cross_product(sK13,sK14),set_type)
| ilf_type(sK12,subset_type(cross_product(sK13,sK14))) ),
inference(extension,[status(thm),parent(t2:3)],[f_7_4]) ).
cnf(t7,plain,
$false,
inference(connection,[status(thm),parent(t6:1)],[t6:1,t2:3]) ).
cnf(t8,plain,
ilf_type(cross_product(sK13,sK14),set_type),
inference(extension,[status(thm),parent(t6:2)],[f_18_3]) ).
cnf(t9,plain,
$false,
inference(connection,[status(thm),parent(t8:1)],[t8:1,t6:2]) ).
cnf(l4,lemma,
ilf_type(cross_product(sK13,sK14),set_type),
inference(lemma,[status(cth),parent(t6:2),below(t2:3)],[t6:2]) ).
cnf(t10,plain,
( empty(power_set(cross_product(sK13,sK14)))
| ~ ilf_type(power_set(cross_product(sK13,sK14)),set_type)
| ~ member(sK12,power_set(cross_product(sK13,sK14)))
| ~ ilf_type(sK12,set_type)
| ilf_type(sK12,member_type(power_set(cross_product(sK13,sK14)))) ),
inference(extension,[status(thm),parent(t6:3)],[f_12_4]) ).
cnf(t11,plain,
$false,
inference(connection,[status(thm),parent(t10:1)],[t10:1,t6:3]) ).
cnf(t12,plain,
ilf_type(sK12,set_type),
inference(extension,[status(thm),parent(t10:2)],[f_19_7]) ).
cnf(t13,plain,
$false,
inference(connection,[status(thm),parent(t12:1)],[t12:1,t10:2]) ).
cnf(l6,lemma,
ilf_type(sK12,set_type),
inference(lemma,[status(cth),parent(t10:2),below(t6:3)],[t10:2]) ).
cnf(t14,plain,
( ~ ilf_type(cross_product(sK13,sK14),set_type)
| member(sK6(sK12,cross_product(sK13,sK14)),sK12)
| ~ ilf_type(sK12,set_type)
| member(sK12,power_set(cross_product(sK13,sK14))) ),
inference(extension,[status(thm),parent(t10:3)],[f_10_6]) ).
cnf(t15,plain,
$false,
inference(connection,[status(thm),parent(t14:1)],[t14:1,t10:3]) ).
cnf(t16,plain,
ilf_type(sK12,set_type),
inference(lemma_extension,[status(thm),parent(t14:2)],[l6:1]) ).
cnf(t17,plain,
$false,
inference(connection,[status(thm),parent(t16:1)],[t16:1,t14:2]) ).
cnf(t18,plain,
( ~ ilf_type(cross_product(sK13,sK14),set_type)
| ~ subset(sK12,cross_product(sK13,sK14))
| ~ ilf_type(sK6(sK12,cross_product(sK13,sK14)),set_type)
| member(sK6(sK12,cross_product(sK13,sK14)),cross_product(sK13,sK14))
| ~ ilf_type(sK12,set_type)
| ~ member(sK6(sK12,cross_product(sK13,sK14)),sK12) ),
inference(extension,[status(thm),parent(t14:3)],[f_5_4]) ).
cnf(t19,plain,
$false,
inference(connection,[status(thm),parent(t18:1)],[t18:1,t14:3]) ).
cnf(t20,plain,
ilf_type(sK12,set_type),
inference(lemma_extension,[status(thm),parent(t18:2)],[l6:1]) ).
cnf(t21,plain,
$false,
inference(connection,[status(thm),parent(t20:1)],[t20:1,t18:2]) ).
cnf(t22,plain,
( ~ ilf_type(cross_product(sK13,sK14),set_type)
| member(sK12,power_set(cross_product(sK13,sK14)))
| ~ ilf_type(sK12,set_type)
| ~ member(sK6(sK12,cross_product(sK13,sK14)),cross_product(sK13,sK14)) ),
inference(extension,[status(thm),parent(t18:3)],[f_10_7]) ).
cnf(t23,plain,
$false,
inference(connection,[status(thm),parent(t22:1)],[t22:1,t18:3]) ).
cnf(t24,plain,
ilf_type(sK12,set_type),
inference(lemma_extension,[status(thm),parent(t22:2)],[l6:1]) ).
cnf(t25,plain,
$false,
inference(connection,[status(thm),parent(t24:1)],[t24:1,t22:2]) ).
cnf(t26,plain,
$false,
inference(reduction,[status(thm),parent(t22:3)],[t22:3,t10:3]) ).
cnf(t27,plain,
ilf_type(cross_product(sK13,sK14),set_type),
inference(lemma_extension,[status(thm),parent(t22:4)],[l4:1]) ).
cnf(t28,plain,
$false,
inference(connection,[status(thm),parent(t27:1)],[t27:1,t22:4]) ).
cnf(t29,plain,
ilf_type(sK6(sK12,cross_product(sK13,sK14)),set_type),
inference(extension,[status(thm),parent(t18:4)],[f_18_3]) ).
cnf(t30,plain,
$false,
inference(connection,[status(thm),parent(t29:1)],[t29:1,t18:4]) ).
cnf(t31,plain,
subset(sK12,cross_product(sK13,sK14)),
inference(extension,[status(thm),parent(t18:5)],[f_19_10]) ).
cnf(t32,plain,
$false,
inference(connection,[status(thm),parent(t31:1)],[t31:1,t18:5]) ).
cnf(t33,plain,
ilf_type(cross_product(sK13,sK14),set_type),
inference(lemma_extension,[status(thm),parent(t18:6)],[l4:1]) ).
cnf(t34,plain,
$false,
inference(connection,[status(thm),parent(t33:1)],[t33:1,t18:6]) ).
cnf(t35,plain,
ilf_type(cross_product(sK13,sK14),set_type),
inference(lemma_extension,[status(thm),parent(t14:4)],[l4:1]) ).
cnf(t36,plain,
$false,
inference(connection,[status(thm),parent(t35:1)],[t35:1,t14:4]) ).
cnf(t37,plain,
ilf_type(power_set(cross_product(sK13,sK14)),set_type),
inference(extension,[status(thm),parent(t10:4)],[f_18_3]) ).
cnf(t38,plain,
$false,
inference(connection,[status(thm),parent(t37:1)],[t37:1,t10:4]) ).
cnf(t39,plain,
( ~ ilf_type(cross_product(sK13,sK14),set_type)
| ~ empty(power_set(cross_product(sK13,sK14))) ),
inference(extension,[status(thm),parent(t10:5)],[f_11_3]) ).
cnf(t40,plain,
$false,
inference(connection,[status(thm),parent(t39:1)],[t39:1,t10:5]) ).
cnf(t41,plain,
ilf_type(cross_product(sK13,sK14),set_type),
inference(lemma_extension,[status(thm),parent(t39:2)],[l4:1]) ).
cnf(t42,plain,
$false,
inference(connection,[status(thm),parent(t41:1)],[t41:1,t39:2]) ).
cnf(t43,plain,
ilf_type(sK12,set_type),
inference(extension,[status(thm),parent(t6:4)],[f_19_7]) ).
cnf(t44,plain,
$false,
inference(connection,[status(thm),parent(t43:1)],[t43:1,t6:4]) ).
cnf(t45,plain,
ilf_type(sK14,set_type),
inference(extension,[status(thm),parent(t2:4)],[f_19_9]) ).
cnf(t46,plain,
$false,
inference(connection,[status(thm),parent(t45:1)],[t45:1,t2:4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET641+3 : TPTP v9.3.1. Released v2.2.0.
% 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
% 0.10/10.39 % Computer : n019.cluster.edu
% 0.10/10.39 % Model : x86_64 x86_64
% 0.10/10.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/10.39 % Memory : 8046.5625MB
% 0.10/10.39 % OS : Linux 6.8.0-71-generic
% 0.10/10.39 % CPULimit : 300
% 0.10/10.39 % WCLimit : 300
% 0.10/10.39 % DateTime : Sat Sep 19 22:45:02 UTC 2026
% 0.10/10.39 % CPUTime :
% 79.13/89.46 % SZS status Theorem for theBenchmark
% 79.13/89.46 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------