%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : SEU258+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 : n007.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 08:58:45 AM UTC 2026
% Result : Theorem 114.43s 114.78s
% Output : Proof 114.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 10
% Syntax : Number of formulae : 97 ( 36 unt; 0 def)
% Number of atoms : 296 ( 17 equ)
% Maximal formula atoms : 13 ( 3 avg)
% Number of connectives : 317 ( 118 ~; 113 |; 67 &)
% ( 6 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 2 con; 0-2 aty)
% Number of variables : 132 ( 2 sgn 96 !; 10 ?)
% Comments :
%------------------------------------------------------------------------------
fof(d10_xboole_0,axiom,
! [A,B] :
( A = B
<=> ( subset(B,A)
& subset(A,B) ) ),
file('theBenchmark.p',d10_xboole_0) ).
fof(d3_tarski,axiom,
! [A,B] :
( subset(A,B)
<=> ! [C] :
( in(C,A)
=> in(C,B) ) ),
file('theBenchmark.p',d3_tarski) ).
fof(d4_wellord1,axiom,
! [A] :
( relation(A)
=> ( well_ordering(A)
<=> ( well_founded_relation(A)
& connected(A)
& antisymmetric(A)
& transitive(A)
& reflexive(A) ) ) ),
file('theBenchmark.p',d4_wellord1) ).
fof(dt_k2_wellord1,axiom,
! [A,B] :
( relation(A)
=> relation(relation_restriction(A,B)) ),
file('theBenchmark.p',dt_k2_wellord1) ).
fof(l1_wellord1,axiom,
! [A] :
( relation(A)
=> ( reflexive(A)
<=> ! [B] :
( in(B,relation_field(A))
=> in(ordered_pair(B,B),A) ) ) ),
file('theBenchmark.p',l1_wellord1) ).
fof(t106_zfmisc_1,axiom,
! [A,B,C,D] :
( in(ordered_pair(A,B),cartesian_product2(C,D))
<=> ( in(B,D)
& in(A,C) ) ),
file('theBenchmark.p',t106_zfmisc_1) ).
fof(t16_wellord1,axiom,
! [A,B,C] :
( relation(C)
=> ( in(A,relation_restriction(C,B))
<=> ( in(A,cartesian_product2(B,B))
& in(A,C) ) ) ),
file('theBenchmark.p',t16_wellord1) ).
fof(t20_wellord1,axiom,
! [A,B] :
( relation(B)
=> ( subset(relation_field(relation_restriction(B,A)),A)
& subset(relation_field(relation_restriction(B,A)),relation_field(B)) ) ),
file('theBenchmark.p',t20_wellord1) ).
fof(t30_relat_1,axiom,
! [A,B,C] :
( relation(C)
=> ( in(ordered_pair(A,B),C)
=> ( in(B,relation_field(C))
& in(A,relation_field(C)) ) ) ),
file('theBenchmark.p',t30_relat_1) ).
fof(t39_wellord1,conjecture,
! [A,B] :
( relation(B)
=> ( ( subset(A,relation_field(B))
& well_ordering(B) )
=> relation_field(relation_restriction(B,A)) = A ) ),
file('theBenchmark.p',t39_wellord1) ).
fof(f_7_1,plain,
! [A,B] :
( ( A = B
| ~ subset(B,A)
| ~ subset(A,B) )
& ( ( subset(B,A)
& subset(A,B) )
| A != B ) ),
inference(fof_nnf,[status(thm)],[d10_xboole_0]) ).
fof(f_7_2,plain,
! [U_11,U_10] :
( ( U_11 = U_10
| ~ subset(U_10,U_11)
| ~ subset(U_11,U_10) )
& ( ( subset(U_10,U_11)
& subset(U_11,U_10) )
| U_11 != U_10 ) ),
inference(variable_rename,[status(thm)],[f_7_1]) ).
fof(f_7_3,plain,
( ! [U_15,U_13] :
( U_15 = U_13
| ~ subset(U_13,U_15)
| ~ subset(U_15,U_13) )
& ! [U_14,U_12] :
( ( subset(U_12,U_14)
& subset(U_14,U_12) )
| U_14 != U_12 ) ),
inference(miniscope,[status(thm)],[f_7_2]) ).
cnf(f_7_6,plain,
( U_15 = U_13
| ~ subset(U_13,U_15)
| ~ subset(U_15,U_13) ),
inference(clausify,[status(thm)],[f_7_3]) ).
fof(f_8_1,plain,
! [A,B] :
( ( subset(A,B)
| ? [C] :
( ~ in(C,B)
& in(C,A) ) )
& ( ! [C] :
( in(C,B)
| ~ in(C,A) )
| ~ subset(A,B) ) ),
inference(fof_nnf,[status(thm)],[d3_tarski]) ).
fof(f_8_2,plain,
! [U_19,U_18] :
( ( subset(U_19,U_18)
| ? [U_17] :
( ~ in(U_17,U_18)
& in(U_17,U_19) ) )
& ( ! [U_16] :
( in(U_16,U_18)
| ~ in(U_16,U_19) )
| ~ subset(U_19,U_18) ) ),
inference(variable_rename,[status(thm)],[f_8_1]) ).
fof(f_8_3,plain,
( ! [U_23,U_21] :
( subset(U_23,U_21)
| ? [U_17] :
( ~ in(U_17,U_21)
& in(U_17,U_23) ) )
& ! [U_22,U_20] :
( ! [U_16] :
( in(U_16,U_20)
| ~ in(U_16,U_22) )
| ~ subset(U_22,U_20) ) ),
inference(miniscope,[status(thm)],[f_8_2]) ).
fof(f_8_4,plain,
( ! [U_23,U_21] :
( subset(U_23,U_21)
| ( ~ in(sK1(U_23,U_21),U_21)
& in(sK1(U_23,U_21),U_23) ) )
& ! [U_22,U_20] :
( ! [U_16] :
( in(U_16,U_20)
| ~ in(U_16,U_22) )
| ~ subset(U_22,U_20) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(U_17,sK1(U_23,U_21))],[f_8_3]) ).
cnf(f_8_5,plain,
( in(U_16,U_20)
| ~ in(U_16,U_22)
| ~ subset(U_22,U_20) ),
inference(clausify,[status(thm)],[f_8_4]) ).
cnf(f_8_6,plain,
( in(sK1(U_23,U_21),U_23)
| subset(U_23,U_21) ),
inference(clausify,[status(thm)],[f_8_4]) ).
cnf(f_8_7,plain,
( ~ in(sK1(U_23,U_21),U_21)
| subset(U_23,U_21) ),
inference(clausify,[status(thm)],[f_8_4]) ).
fof(f_9_1,plain,
! [A] :
( ( ( well_ordering(A)
| ~ well_founded_relation(A)
| ~ connected(A)
| ~ antisymmetric(A)
| ~ transitive(A)
| ~ reflexive(A) )
& ( ( well_founded_relation(A)
& connected(A)
& antisymmetric(A)
& transitive(A)
& reflexive(A) )
| ~ well_ordering(A) ) )
| ~ relation(A) ),
inference(fof_nnf,[status(thm)],[d4_wellord1]) ).
fof(f_9_2,plain,
! [U_24] :
( ( ( well_ordering(U_24)
| ~ well_founded_relation(U_24)
| ~ connected(U_24)
| ~ antisymmetric(U_24)
| ~ transitive(U_24)
| ~ reflexive(U_24) )
& ( ( well_founded_relation(U_24)
& connected(U_24)
& antisymmetric(U_24)
& transitive(U_24)
& reflexive(U_24) )
| ~ well_ordering(U_24) ) )
| ~ relation(U_24) ),
inference(variable_rename,[status(thm)],[f_9_1]) ).
cnf(f_9_3,plain,
( reflexive(U_24)
| ~ well_ordering(U_24)
| ~ relation(U_24) ),
inference(clausify,[status(thm)],[f_9_2]) ).
fof(f_19_1,plain,
! [A,B] :
( relation(relation_restriction(A,B))
| ~ relation(A) ),
inference(fof_nnf,[status(thm)],[dt_k2_wellord1]) ).
fof(f_19_2,plain,
! [U_31,U_30] :
( relation(relation_restriction(U_31,U_30))
| ~ relation(U_31) ),
inference(variable_rename,[status(thm)],[f_19_1]) ).
fof(f_19_3,plain,
! [U_31] :
( ! [U_30] : relation(relation_restriction(U_31,U_30))
| ~ relation(U_31) ),
inference(miniscope,[status(thm)],[f_19_2]) ).
cnf(f_19_4,plain,
( relation(relation_restriction(U_31,U_30))
| ~ relation(U_31) ),
inference(clausify,[status(thm)],[f_19_3]) ).
fof(f_33_1,plain,
! [A] :
( ( ( reflexive(A)
| ? [B] :
( ~ in(ordered_pair(B,B),A)
& in(B,relation_field(A)) ) )
& ( ! [B] :
( in(ordered_pair(B,B),A)
| ~ in(B,relation_field(A)) )
| ~ reflexive(A) ) )
| ~ relation(A) ),
inference(fof_nnf,[status(thm)],[l1_wellord1]) ).
fof(f_33_2,plain,
! [U_46] :
( ( ( reflexive(U_46)
| ? [U_45] :
( ~ in(ordered_pair(U_45,U_45),U_46)
& in(U_45,relation_field(U_46)) ) )
& ( ! [U_44] :
( in(ordered_pair(U_44,U_44),U_46)
| ~ in(U_44,relation_field(U_46)) )
| ~ reflexive(U_46) ) )
| ~ relation(U_46) ),
inference(variable_rename,[status(thm)],[f_33_1]) ).
fof(f_33_3,plain,
! [U_46] :
( ( ( reflexive(U_46)
| ( ~ in(ordered_pair(sK3(U_46),sK3(U_46)),U_46)
& in(sK3(U_46),relation_field(U_46)) ) )
& ( ! [U_44] :
( in(ordered_pair(U_44,U_44),U_46)
| ~ in(U_44,relation_field(U_46)) )
| ~ reflexive(U_46) ) )
| ~ relation(U_46) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(U_45,sK3(U_46))],[f_33_2]) ).
cnf(f_33_4,plain,
( in(ordered_pair(U_44,U_44),U_46)
| ~ in(U_44,relation_field(U_46))
| ~ reflexive(U_46)
| ~ relation(U_46) ),
inference(clausify,[status(thm)],[f_33_3]) ).
fof(f_40_1,plain,
! [A,B,C,D] :
( ( in(ordered_pair(A,B),cartesian_product2(C,D))
| ~ in(B,D)
| ~ in(A,C) )
& ( ( in(B,D)
& in(A,C) )
| ~ in(ordered_pair(A,B),cartesian_product2(C,D)) ) ),
inference(fof_nnf,[status(thm)],[t106_zfmisc_1]) ).
fof(f_40_2,plain,
! [U_57,U_56,U_55,U_54] :
( ( in(ordered_pair(U_57,U_56),cartesian_product2(U_55,U_54))
| ~ in(U_56,U_54)
| ~ in(U_57,U_55) )
& ( ( in(U_56,U_54)
& in(U_57,U_55) )
| ~ in(ordered_pair(U_57,U_56),cartesian_product2(U_55,U_54)) ) ),
inference(variable_rename,[status(thm)],[f_40_1]) ).
fof(f_40_3,plain,
( ! [U_65,U_63,U_61,U_59] :
( in(ordered_pair(U_65,U_63),cartesian_product2(U_61,U_59))
| ~ in(U_63,U_59)
| ~ in(U_65,U_61) )
& ! [U_64,U_62,U_60,U_58] :
( ( in(U_62,U_58)
& in(U_64,U_60) )
| ~ in(ordered_pair(U_64,U_62),cartesian_product2(U_60,U_58)) ) ),
inference(miniscope,[status(thm)],[f_40_2]) ).
cnf(f_40_6,plain,
( in(ordered_pair(U_65,U_63),cartesian_product2(U_61,U_59))
| ~ in(U_63,U_59)
| ~ in(U_65,U_61) ),
inference(clausify,[status(thm)],[f_40_3]) ).
fof(f_41_1,plain,
! [A,B,C] :
( ( ( in(A,relation_restriction(C,B))
| ~ in(A,cartesian_product2(B,B))
| ~ in(A,C) )
& ( ( in(A,cartesian_product2(B,B))
& in(A,C) )
| ~ in(A,relation_restriction(C,B)) ) )
| ~ relation(C) ),
inference(fof_nnf,[status(thm)],[t16_wellord1]) ).
fof(f_41_2,plain,
! [U_68,U_67,U_66] :
( ( ( in(U_68,relation_restriction(U_66,U_67))
| ~ in(U_68,cartesian_product2(U_67,U_67))
| ~ in(U_68,U_66) )
& ( ( in(U_68,cartesian_product2(U_67,U_67))
& in(U_68,U_66) )
| ~ in(U_68,relation_restriction(U_66,U_67)) ) )
| ~ relation(U_66) ),
inference(variable_rename,[status(thm)],[f_41_1]) ).
cnf(f_41_5,plain,
( in(U_68,relation_restriction(U_66,U_67))
| ~ in(U_68,cartesian_product2(U_67,U_67))
| ~ in(U_68,U_66)
| ~ relation(U_66) ),
inference(clausify,[status(thm)],[f_41_2]) ).
fof(f_44_1,plain,
! [A,B] :
( ( subset(relation_field(relation_restriction(B,A)),A)
& subset(relation_field(relation_restriction(B,A)),relation_field(B)) )
| ~ relation(B) ),
inference(fof_nnf,[status(thm)],[t20_wellord1]) ).
fof(f_44_2,plain,
! [U_73,U_72] :
( ( subset(relation_field(relation_restriction(U_72,U_73)),U_73)
& subset(relation_field(relation_restriction(U_72,U_73)),relation_field(U_72)) )
| ~ relation(U_72) ),
inference(variable_rename,[status(thm)],[f_44_1]) ).
cnf(f_44_4,plain,
( subset(relation_field(relation_restriction(U_72,U_73)),U_73)
| ~ relation(U_72) ),
inference(clausify,[status(thm)],[f_44_2]) ).
fof(f_47_1,plain,
! [A,B,C] :
( ( in(B,relation_field(C))
& in(A,relation_field(C)) )
| ~ in(ordered_pair(A,B),C)
| ~ relation(C) ),
inference(fof_nnf,[status(thm)],[t30_relat_1]) ).
fof(f_47_2,plain,
! [U_79,U_78,U_77] :
( ( in(U_78,relation_field(U_77))
& in(U_79,relation_field(U_77)) )
| ~ in(ordered_pair(U_79,U_78),U_77)
| ~ relation(U_77) ),
inference(variable_rename,[status(thm)],[f_47_1]) ).
cnf(f_47_4,plain,
( in(U_78,relation_field(U_77))
| ~ in(ordered_pair(U_79,U_78),U_77)
| ~ relation(U_77) ),
inference(clausify,[status(thm)],[f_47_2]) ).
fof(f_48_1,negated_conjecture,
~ ! [A,B] :
( relation(B)
=> ( ( subset(A,relation_field(B))
& well_ordering(B) )
=> relation_field(relation_restriction(B,A)) = A ) ),
inference(negate,[status(cth)],[t39_wellord1]) ).
fof(f_48_2,negated_conjecture,
? [A,B] :
( relation_field(relation_restriction(B,A)) != A
& subset(A,relation_field(B))
& well_ordering(B)
& relation(B) ),
inference(fof_nnf,[status(thm)],[f_48_1]) ).
fof(f_48_3,negated_conjecture,
? [U_81,U_80] :
( relation_field(relation_restriction(U_80,U_81)) != U_81
& subset(U_81,relation_field(U_80))
& well_ordering(U_80)
& relation(U_80) ),
inference(variable_rename,[status(thm)],[f_48_2]) ).
fof(f_48_4,negated_conjecture,
? [U_80] :
( relation_field(relation_restriction(U_80,sK9)) != sK9
& subset(sK9,relation_field(U_80))
& well_ordering(U_80)
& relation(U_80) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK9]),skolemize(U_81,sK9)],[f_48_3]) ).
fof(f_48_5,negated_conjecture,
( relation_field(relation_restriction(sK10,sK9)) != sK9
& subset(sK9,relation_field(sK10))
& well_ordering(sK10)
& relation(sK10) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK10]),skolemize(U_80,sK10)],[f_48_4]) ).
cnf(f_48_6,negated_conjecture,
relation(sK10),
inference(clausify,[status(thm)],[f_48_5]) ).
cnf(f_48_7,negated_conjecture,
well_ordering(sK10),
inference(clausify,[status(thm)],[f_48_5]) ).
cnf(f_48_8,negated_conjecture,
subset(sK9,relation_field(sK10)),
inference(clausify,[status(thm)],[f_48_5]) ).
cnf(f_48_9,negated_conjecture,
relation_field(relation_restriction(sK10,sK9)) != sK9,
inference(clausify,[status(thm)],[f_48_5]) ).
cnf(t1,plain,
relation_field(relation_restriction(sK10,sK9)) != sK9,
inference(start,[status(thm),parent(0:0)],[f_48_9]) ).
cnf(t2,plain,
( ~ subset(sK9,relation_field(relation_restriction(sK10,sK9)))
| ~ subset(relation_field(relation_restriction(sK10,sK9)),sK9)
| relation_field(relation_restriction(sK10,sK9)) = sK9 ),
inference(extension,[status(thm),parent(t1:1)],[f_7_6]) ).
cnf(t3,plain,
$false,
inference(connection,[status(thm),parent(t2:1)],[t2:1,t1:1]) ).
cnf(t4,plain,
( ~ relation(sK10)
| subset(relation_field(relation_restriction(sK10,sK9)),sK9) ),
inference(extension,[status(thm),parent(t2:2)],[f_44_4]) ).
cnf(t5,plain,
$false,
inference(connection,[status(thm),parent(t4:1)],[t4:1,t2:2]) ).
cnf(t6,plain,
relation(sK10),
inference(extension,[status(thm),parent(t4:2)],[f_48_6]) ).
cnf(t7,plain,
$false,
inference(connection,[status(thm),parent(t6:1)],[t6:1,t4:2]) ).
cnf(t8,plain,
( in(sK1(sK9,relation_field(relation_restriction(sK10,sK9))),sK9)
| subset(sK9,relation_field(relation_restriction(sK10,sK9))) ),
inference(extension,[status(thm),parent(t2:3)],[f_8_6]) ).
cnf(t9,plain,
$false,
inference(connection,[status(thm),parent(t8:1)],[t8:1,t2:3]) ).
cnf(t10,plain,
( in(ordered_pair(sK1(sK9,relation_field(relation_restriction(sK10,sK9))),sK1(sK9,relation_field(relation_restriction(sK10,sK9)))),cartesian_product2(sK9,sK9))
| ~ in(sK1(sK9,relation_field(relation_restriction(sK10,sK9))),sK9)
| ~ in(sK1(sK9,relation_field(relation_restriction(sK10,sK9))),sK9) ),
inference(extension,[status(thm),parent(t8:2)],[f_40_6]) ).
cnf(t11,plain,
$false,
inference(connection,[status(thm),parent(t10:1)],[t10:1,t8:2]) ).
cnf(t12,plain,
$false,
inference(reduction,[status(thm),parent(t10:2)],[t10:2,t8:2]) ).
cnf(l6,lemma,
in(sK1(sK9,relation_field(relation_restriction(sK10,sK9))),sK9),
inference(lemma,[status(cth),parent(t10:2),below(t8:2)],[t10:2]) ).
cnf(t13,plain,
( ~ in(ordered_pair(sK1(sK9,relation_field(relation_restriction(sK10,sK9))),sK1(sK9,relation_field(relation_restriction(sK10,sK9)))),sK10)
| in(ordered_pair(sK1(sK9,relation_field(relation_restriction(sK10,sK9))),sK1(sK9,relation_field(relation_restriction(sK10,sK9)))),relation_restriction(sK10,sK9))
| ~ relation(sK10)
| ~ in(ordered_pair(sK1(sK9,relation_field(relation_restriction(sK10,sK9))),sK1(sK9,relation_field(relation_restriction(sK10,sK9)))),cartesian_product2(sK9,sK9)) ),
inference(extension,[status(thm),parent(t10:3)],[f_41_5]) ).
cnf(t14,plain,
$false,
inference(connection,[status(thm),parent(t13:1)],[t13:1,t10:3]) ).
cnf(t15,plain,
relation(sK10),
inference(extension,[status(thm),parent(t13:2)],[f_48_6]) ).
cnf(t16,plain,
$false,
inference(connection,[status(thm),parent(t15:1)],[t15:1,t13:2]) ).
cnf(l8,lemma,
relation(sK10),
inference(lemma,[status(cth),parent(t13:2),below(t10:3)],[t13:2]) ).
cnf(t17,plain,
( in(sK1(sK9,relation_field(relation_restriction(sK10,sK9))),relation_field(relation_restriction(sK10,sK9)))
| ~ relation(relation_restriction(sK10,sK9))
| ~ in(ordered_pair(sK1(sK9,relation_field(relation_restriction(sK10,sK9))),sK1(sK9,relation_field(relation_restriction(sK10,sK9)))),relation_restriction(sK10,sK9)) ),
inference(extension,[status(thm),parent(t13:3)],[f_47_4]) ).
cnf(t18,plain,
$false,
inference(connection,[status(thm),parent(t17:1)],[t17:1,t13:3]) ).
cnf(t19,plain,
( ~ relation(sK10)
| relation(relation_restriction(sK10,sK9)) ),
inference(extension,[status(thm),parent(t17:2)],[f_19_4]) ).
cnf(t20,plain,
$false,
inference(connection,[status(thm),parent(t19:1)],[t19:1,t17:2]) ).
cnf(t21,plain,
relation(sK10),
inference(lemma_extension,[status(thm),parent(t19:2)],[l8:1]) ).
cnf(t22,plain,
$false,
inference(connection,[status(thm),parent(t21:1)],[t21:1,t19:2]) ).
cnf(t23,plain,
( subset(sK9,relation_field(relation_restriction(sK10,sK9)))
| ~ in(sK1(sK9,relation_field(relation_restriction(sK10,sK9))),relation_field(relation_restriction(sK10,sK9))) ),
inference(extension,[status(thm),parent(t17:3)],[f_8_7]) ).
cnf(t24,plain,
$false,
inference(connection,[status(thm),parent(t23:1)],[t23:1,t17:3]) ).
cnf(t25,plain,
$false,
inference(reduction,[status(thm),parent(t23:2)],[t23:2,t2:3]) ).
cnf(t26,plain,
( ~ reflexive(sK10)
| ~ in(sK1(sK9,relation_field(relation_restriction(sK10,sK9))),relation_field(sK10))
| ~ relation(sK10)
| in(ordered_pair(sK1(sK9,relation_field(relation_restriction(sK10,sK9))),sK1(sK9,relation_field(relation_restriction(sK10,sK9)))),sK10) ),
inference(extension,[status(thm),parent(t13:4)],[f_33_4]) ).
cnf(t27,plain,
$false,
inference(connection,[status(thm),parent(t26:1)],[t26:1,t13:4]) ).
cnf(t28,plain,
relation(sK10),
inference(lemma_extension,[status(thm),parent(t26:2)],[l8:1]) ).
cnf(t29,plain,
$false,
inference(connection,[status(thm),parent(t28:1)],[t28:1,t26:2]) ).
cnf(t30,plain,
( ~ in(sK1(sK9,relation_field(relation_restriction(sK10,sK9))),sK9)
| ~ subset(sK9,relation_field(sK10))
| in(sK1(sK9,relation_field(relation_restriction(sK10,sK9))),relation_field(sK10)) ),
inference(extension,[status(thm),parent(t26:3)],[f_8_5]) ).
cnf(t31,plain,
$false,
inference(connection,[status(thm),parent(t30:1)],[t30:1,t26:3]) ).
cnf(t32,plain,
subset(sK9,relation_field(sK10)),
inference(extension,[status(thm),parent(t30:2)],[f_48_8]) ).
cnf(t33,plain,
$false,
inference(connection,[status(thm),parent(t32:1)],[t32:1,t30:2]) ).
cnf(t34,plain,
in(sK1(sK9,relation_field(relation_restriction(sK10,sK9))),sK9),
inference(lemma_extension,[status(thm),parent(t30:3)],[l6:1]) ).
cnf(t35,plain,
$false,
inference(connection,[status(thm),parent(t34:1)],[t34:1,t30:3]) ).
cnf(t36,plain,
( ~ well_ordering(sK10)
| ~ relation(sK10)
| reflexive(sK10) ),
inference(extension,[status(thm),parent(t26:4)],[f_9_3]) ).
cnf(t37,plain,
$false,
inference(connection,[status(thm),parent(t36:1)],[t36:1,t26:4]) ).
cnf(t38,plain,
relation(sK10),
inference(lemma_extension,[status(thm),parent(t36:2)],[l8:1]) ).
cnf(t39,plain,
$false,
inference(connection,[status(thm),parent(t38:1)],[t38:1,t36:2]) ).
cnf(t40,plain,
well_ordering(sK10),
inference(extension,[status(thm),parent(t36:3)],[f_48_7]) ).
cnf(t41,plain,
$false,
inference(connection,[status(thm),parent(t40:1)],[t40:1,t36:3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEU258+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.03 This is a FOF_THM_RFO_SEQ problem
% 0.00/0.03 % Command : /export/starexec/sandbox2/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.37 % Computer : n007.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Sat Sep 19 23:39:50 UTC 2026
% 0.09/0.37 % CPUTime :
% 114.43/114.78 % SZS status Theorem for theBenchmark
% 114.43/114.78 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------