%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : SEU180+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 : 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 08:58:22 AM UTC 2026
% Result : Theorem 0.55s 0.89s
% Output : Proof 0.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 6
% Syntax : Number of formulae : 71 ( 25 unt; 0 def)
% Number of atoms : 337 ( 58 equ)
% Maximal formula atoms : 14 ( 4 avg)
% Number of connectives : 427 ( 161 ~; 153 |; 100 &)
% ( 6 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 18 ( 18 usr; 3 con; 0-3 aty)
% Number of variables : 207 ( 4 sgn 141 !; 48 ?)
% Comments :
%------------------------------------------------------------------------------
fof(d2_xboole_0,axiom,
! [A,B,C] :
( C = set_union2(A,B)
<=> ! [D] :
( in(D,C)
<=> ( in(D,B)
| in(D,A) ) ) ),
file('theBenchmark.p',d2_xboole_0) ).
fof(d4_relat_1,axiom,
! [A] :
( relation(A)
=> ! [B] :
( B = relation_dom(A)
<=> ! [C] :
( in(C,B)
<=> ? [D] : in(ordered_pair(C,D),A) ) ) ),
file('theBenchmark.p',d4_relat_1) ).
fof(d5_relat_1,axiom,
! [A] :
( relation(A)
=> ! [B] :
( B = relation_rng(A)
<=> ! [C] :
( in(C,B)
<=> ? [D] : in(ordered_pair(D,C),A) ) ) ),
file('theBenchmark.p',d5_relat_1) ).
fof(d6_relat_1,axiom,
! [A] :
( relation(A)
=> relation_field(A) = set_union2(relation_dom(A),relation_rng(A)) ),
file('theBenchmark.p',d6_relat_1) ).
fof(t30_relat_1,conjecture,
! [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(f_4_1,plain,
! [A,B,C] :
( ( C = set_union2(A,B)
| ? [D] :
( ( ~ in(D,C)
& ( in(D,B)
| in(D,A) ) )
| ( ~ in(D,B)
& ~ in(D,A)
& in(D,C) ) ) )
& ( ! [D] :
( ( in(D,C)
| ( ~ in(D,B)
& ~ in(D,A) ) )
& ( in(D,B)
| in(D,A)
| ~ in(D,C) ) )
| C != set_union2(A,B) ) ),
inference(fof_nnf,[status(thm)],[d2_xboole_0]) ).
fof(f_4_2,plain,
! [U_10,U_9,U_8] :
( ( U_8 = set_union2(U_10,U_9)
| ? [U_7] :
( ( ~ in(U_7,U_8)
& ( in(U_7,U_9)
| in(U_7,U_10) ) )
| ( ~ in(U_7,U_9)
& ~ in(U_7,U_10)
& in(U_7,U_8) ) ) )
& ( ! [U_6] :
( ( in(U_6,U_8)
| ( ~ in(U_6,U_9)
& ~ in(U_6,U_10) ) )
& ( in(U_6,U_9)
| in(U_6,U_10)
| ~ in(U_6,U_8) ) )
| U_8 != set_union2(U_10,U_9) ) ),
inference(variable_rename,[status(thm)],[f_4_1]) ).
fof(f_4_3,plain,
( ! [U_20,U_18,U_16] :
( U_16 = set_union2(U_20,U_18)
| ? [U_14] :
( ~ in(U_14,U_16)
& ( in(U_14,U_18)
| in(U_14,U_20) ) )
| ? [U_13] :
( ~ in(U_13,U_18)
& ~ in(U_13,U_20)
& in(U_13,U_16) ) )
& ! [U_19,U_17,U_15] :
( ( ! [U_12] :
( in(U_12,U_15)
| ( ~ in(U_12,U_17)
& ~ in(U_12,U_19) ) )
& ! [U_11] :
( in(U_11,U_17)
| in(U_11,U_19)
| ~ in(U_11,U_15) ) )
| U_15 != set_union2(U_19,U_17) ) ),
inference(miniscope,[status(thm)],[f_4_2]) ).
fof(f_4_4,plain,
( ! [U_20,U_18,U_16] :
( U_16 = set_union2(U_20,U_18)
| ? [U_14] :
( ~ in(U_14,U_16)
& ( in(U_14,U_18)
| in(U_14,U_20) ) )
| ( ~ in(sK1(U_20,U_18,U_16),U_18)
& ~ in(sK1(U_20,U_18,U_16),U_20)
& in(sK1(U_20,U_18,U_16),U_16) ) )
& ! [U_19,U_17,U_15] :
( ( ! [U_12] :
( in(U_12,U_15)
| ( ~ in(U_12,U_17)
& ~ in(U_12,U_19) ) )
& ! [U_11] :
( in(U_11,U_17)
| in(U_11,U_19)
| ~ in(U_11,U_15) ) )
| U_15 != set_union2(U_19,U_17) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(U_13,sK1(U_20,U_18,U_16))],[f_4_3]) ).
fof(f_4_5,plain,
( ! [U_20,U_18,U_16] :
( U_16 = set_union2(U_20,U_18)
| ( ~ in(sK2(U_20,U_18,U_16),U_16)
& ( in(sK2(U_20,U_18,U_16),U_18)
| in(sK2(U_20,U_18,U_16),U_20) ) )
| ( ~ in(sK1(U_20,U_18,U_16),U_18)
& ~ in(sK1(U_20,U_18,U_16),U_20)
& in(sK1(U_20,U_18,U_16),U_16) ) )
& ! [U_19,U_17,U_15] :
( ( ! [U_12] :
( in(U_12,U_15)
| ( ~ in(U_12,U_17)
& ~ in(U_12,U_19) ) )
& ! [U_11] :
( in(U_11,U_17)
| in(U_11,U_19)
| ~ in(U_11,U_15) ) )
| U_15 != set_union2(U_19,U_17) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(U_14,sK2(U_20,U_18,U_16))],[f_4_4]) ).
cnf(f_4_7,plain,
( ~ in(U_12,U_19)
| in(U_12,U_15)
| U_15 != set_union2(U_19,U_17) ),
inference(clausify,[status(thm)],[f_4_5]) ).
cnf(f_4_8,plain,
( ~ in(U_12,U_17)
| in(U_12,U_15)
| U_15 != set_union2(U_19,U_17) ),
inference(clausify,[status(thm)],[f_4_5]) ).
fof(f_5_1,plain,
! [A] :
( ! [B] :
( ( B = relation_dom(A)
| ? [C] :
( ( ~ in(C,B)
& ? [D] : in(ordered_pair(C,D),A) )
| ( ! [D] : ~ in(ordered_pair(C,D),A)
& in(C,B) ) ) )
& ( ! [C] :
( ( in(C,B)
| ! [D] : ~ in(ordered_pair(C,D),A) )
& ( ? [D] : in(ordered_pair(C,D),A)
| ~ in(C,B) ) )
| B != relation_dom(A) ) )
| ~ relation(A) ),
inference(fof_nnf,[status(thm)],[d4_relat_1]) ).
fof(f_5_2,plain,
! [U_28] :
( ! [U_27] :
( ( U_27 = relation_dom(U_28)
| ? [U_26] :
( ( ~ in(U_26,U_27)
& ? [U_25] : in(ordered_pair(U_26,U_25),U_28) )
| ( ! [U_24] : ~ in(ordered_pair(U_26,U_24),U_28)
& in(U_26,U_27) ) ) )
& ( ! [U_23] :
( ( in(U_23,U_27)
| ! [U_22] : ~ in(ordered_pair(U_23,U_22),U_28) )
& ( ? [U_21] : in(ordered_pair(U_23,U_21),U_28)
| ~ in(U_23,U_27) ) )
| U_27 != relation_dom(U_28) ) )
| ~ relation(U_28) ),
inference(variable_rename,[status(thm)],[f_5_1]) ).
fof(f_5_3,plain,
! [U_28] :
( ( ! [U_34] :
( U_34 = relation_dom(U_28)
| ? [U_32] :
( ~ in(U_32,U_34)
& ? [U_25] : in(ordered_pair(U_32,U_25),U_28) )
| ? [U_31] :
( ! [U_24] : ~ in(ordered_pair(U_31,U_24),U_28)
& in(U_31,U_34) ) )
& ! [U_33] :
( ( ! [U_30] :
( in(U_30,U_33)
| ! [U_22] : ~ in(ordered_pair(U_30,U_22),U_28) )
& ! [U_29] :
( ? [U_21] : in(ordered_pair(U_29,U_21),U_28)
| ~ in(U_29,U_33) ) )
| U_33 != relation_dom(U_28) ) )
| ~ relation(U_28) ),
inference(miniscope,[status(thm)],[f_5_2]) ).
fof(f_5_4,plain,
! [U_28] :
( ( ! [U_34] :
( U_34 = relation_dom(U_28)
| ? [U_32] :
( ~ in(U_32,U_34)
& ? [U_25] : in(ordered_pair(U_32,U_25),U_28) )
| ? [U_31] :
( ! [U_24] : ~ in(ordered_pair(U_31,U_24),U_28)
& in(U_31,U_34) ) )
& ! [U_33] :
( ( ! [U_30] :
( in(U_30,U_33)
| ! [U_22] : ~ in(ordered_pair(U_30,U_22),U_28) )
& ! [U_29] :
( in(ordered_pair(U_29,sK3(U_28,U_33,U_29)),U_28)
| ~ in(U_29,U_33) ) )
| U_33 != relation_dom(U_28) ) )
| ~ relation(U_28) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(U_21,sK3(U_28,U_33,U_29))],[f_5_3]) ).
fof(f_5_5,plain,
! [U_28] :
( ( ! [U_34] :
( U_34 = relation_dom(U_28)
| ? [U_32] :
( ~ in(U_32,U_34)
& ? [U_25] : in(ordered_pair(U_32,U_25),U_28) )
| ( ! [U_24] : ~ in(ordered_pair(sK4(U_28,U_34),U_24),U_28)
& in(sK4(U_28,U_34),U_34) ) )
& ! [U_33] :
( ( ! [U_30] :
( in(U_30,U_33)
| ! [U_22] : ~ in(ordered_pair(U_30,U_22),U_28) )
& ! [U_29] :
( in(ordered_pair(U_29,sK3(U_28,U_33,U_29)),U_28)
| ~ in(U_29,U_33) ) )
| U_33 != relation_dom(U_28) ) )
| ~ relation(U_28) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4]),skolemize(U_31,sK4(U_28,U_34))],[f_5_4]) ).
fof(f_5_6,plain,
! [U_28] :
( ( ! [U_34] :
( U_34 = relation_dom(U_28)
| ( ~ in(sK5(U_28,U_34),U_34)
& ? [U_25] : in(ordered_pair(sK5(U_28,U_34),U_25),U_28) )
| ( ! [U_24] : ~ in(ordered_pair(sK4(U_28,U_34),U_24),U_28)
& in(sK4(U_28,U_34),U_34) ) )
& ! [U_33] :
( ( ! [U_30] :
( in(U_30,U_33)
| ! [U_22] : ~ in(ordered_pair(U_30,U_22),U_28) )
& ! [U_29] :
( in(ordered_pair(U_29,sK3(U_28,U_33,U_29)),U_28)
| ~ in(U_29,U_33) ) )
| U_33 != relation_dom(U_28) ) )
| ~ relation(U_28) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5]),skolemize(U_32,sK5(U_28,U_34))],[f_5_5]) ).
fof(f_5_7,plain,
! [U_28] :
( ( ! [U_34] :
( U_34 = relation_dom(U_28)
| ( ~ in(sK5(U_28,U_34),U_34)
& in(ordered_pair(sK5(U_28,U_34),sK6(U_28,U_34)),U_28) )
| ( ! [U_24] : ~ in(ordered_pair(sK4(U_28,U_34),U_24),U_28)
& in(sK4(U_28,U_34),U_34) ) )
& ! [U_33] :
( ( ! [U_30] :
( in(U_30,U_33)
| ! [U_22] : ~ in(ordered_pair(U_30,U_22),U_28) )
& ! [U_29] :
( in(ordered_pair(U_29,sK3(U_28,U_33,U_29)),U_28)
| ~ in(U_29,U_33) ) )
| U_33 != relation_dom(U_28) ) )
| ~ relation(U_28) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK6]),skolemize(U_25,sK6(U_28,U_34))],[f_5_6]) ).
cnf(f_5_9,plain,
( in(U_30,U_33)
| ~ in(ordered_pair(U_30,U_22),U_28)
| U_33 != relation_dom(U_28)
| ~ relation(U_28) ),
inference(clausify,[status(thm)],[f_5_7]) ).
fof(f_6_1,plain,
! [A] :
( ! [B] :
( ( B = relation_rng(A)
| ? [C] :
( ( ~ in(C,B)
& ? [D] : in(ordered_pair(D,C),A) )
| ( ! [D] : ~ in(ordered_pair(D,C),A)
& in(C,B) ) ) )
& ( ! [C] :
( ( in(C,B)
| ! [D] : ~ in(ordered_pair(D,C),A) )
& ( ? [D] : in(ordered_pair(D,C),A)
| ~ in(C,B) ) )
| B != relation_rng(A) ) )
| ~ relation(A) ),
inference(fof_nnf,[status(thm)],[d5_relat_1]) ).
fof(f_6_2,plain,
! [U_42] :
( ! [U_41] :
( ( U_41 = relation_rng(U_42)
| ? [U_40] :
( ( ~ in(U_40,U_41)
& ? [U_39] : in(ordered_pair(U_39,U_40),U_42) )
| ( ! [U_38] : ~ in(ordered_pair(U_38,U_40),U_42)
& in(U_40,U_41) ) ) )
& ( ! [U_37] :
( ( in(U_37,U_41)
| ! [U_36] : ~ in(ordered_pair(U_36,U_37),U_42) )
& ( ? [U_35] : in(ordered_pair(U_35,U_37),U_42)
| ~ in(U_37,U_41) ) )
| U_41 != relation_rng(U_42) ) )
| ~ relation(U_42) ),
inference(variable_rename,[status(thm)],[f_6_1]) ).
fof(f_6_3,plain,
! [U_42] :
( ( ! [U_48] :
( U_48 = relation_rng(U_42)
| ? [U_46] :
( ~ in(U_46,U_48)
& ? [U_39] : in(ordered_pair(U_39,U_46),U_42) )
| ? [U_45] :
( ! [U_38] : ~ in(ordered_pair(U_38,U_45),U_42)
& in(U_45,U_48) ) )
& ! [U_47] :
( ( ! [U_44] :
( in(U_44,U_47)
| ! [U_36] : ~ in(ordered_pair(U_36,U_44),U_42) )
& ! [U_43] :
( ? [U_35] : in(ordered_pair(U_35,U_43),U_42)
| ~ in(U_43,U_47) ) )
| U_47 != relation_rng(U_42) ) )
| ~ relation(U_42) ),
inference(miniscope,[status(thm)],[f_6_2]) ).
fof(f_6_4,plain,
! [U_42] :
( ( ! [U_48] :
( U_48 = relation_rng(U_42)
| ? [U_46] :
( ~ in(U_46,U_48)
& ? [U_39] : in(ordered_pair(U_39,U_46),U_42) )
| ? [U_45] :
( ! [U_38] : ~ in(ordered_pair(U_38,U_45),U_42)
& in(U_45,U_48) ) )
& ! [U_47] :
( ( ! [U_44] :
( in(U_44,U_47)
| ! [U_36] : ~ in(ordered_pair(U_36,U_44),U_42) )
& ! [U_43] :
( in(ordered_pair(sK7(U_42,U_47,U_43),U_43),U_42)
| ~ in(U_43,U_47) ) )
| U_47 != relation_rng(U_42) ) )
| ~ relation(U_42) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK7]),skolemize(U_35,sK7(U_42,U_47,U_43))],[f_6_3]) ).
fof(f_6_5,plain,
! [U_42] :
( ( ! [U_48] :
( U_48 = relation_rng(U_42)
| ? [U_46] :
( ~ in(U_46,U_48)
& ? [U_39] : in(ordered_pair(U_39,U_46),U_42) )
| ( ! [U_38] : ~ in(ordered_pair(U_38,sK8(U_42,U_48)),U_42)
& in(sK8(U_42,U_48),U_48) ) )
& ! [U_47] :
( ( ! [U_44] :
( in(U_44,U_47)
| ! [U_36] : ~ in(ordered_pair(U_36,U_44),U_42) )
& ! [U_43] :
( in(ordered_pair(sK7(U_42,U_47,U_43),U_43),U_42)
| ~ in(U_43,U_47) ) )
| U_47 != relation_rng(U_42) ) )
| ~ relation(U_42) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK8]),skolemize(U_45,sK8(U_42,U_48))],[f_6_4]) ).
fof(f_6_6,plain,
! [U_42] :
( ( ! [U_48] :
( U_48 = relation_rng(U_42)
| ( ~ in(sK9(U_42,U_48),U_48)
& ? [U_39] : in(ordered_pair(U_39,sK9(U_42,U_48)),U_42) )
| ( ! [U_38] : ~ in(ordered_pair(U_38,sK8(U_42,U_48)),U_42)
& in(sK8(U_42,U_48),U_48) ) )
& ! [U_47] :
( ( ! [U_44] :
( in(U_44,U_47)
| ! [U_36] : ~ in(ordered_pair(U_36,U_44),U_42) )
& ! [U_43] :
( in(ordered_pair(sK7(U_42,U_47,U_43),U_43),U_42)
| ~ in(U_43,U_47) ) )
| U_47 != relation_rng(U_42) ) )
| ~ relation(U_42) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK9]),skolemize(U_46,sK9(U_42,U_48))],[f_6_5]) ).
fof(f_6_7,plain,
! [U_42] :
( ( ! [U_48] :
( U_48 = relation_rng(U_42)
| ( ~ in(sK9(U_42,U_48),U_48)
& in(ordered_pair(sK10(U_42,U_48),sK9(U_42,U_48)),U_42) )
| ( ! [U_38] : ~ in(ordered_pair(U_38,sK8(U_42,U_48)),U_42)
& in(sK8(U_42,U_48),U_48) ) )
& ! [U_47] :
( ( ! [U_44] :
( in(U_44,U_47)
| ! [U_36] : ~ in(ordered_pair(U_36,U_44),U_42) )
& ! [U_43] :
( in(ordered_pair(sK7(U_42,U_47,U_43),U_43),U_42)
| ~ in(U_43,U_47) ) )
| U_47 != relation_rng(U_42) ) )
| ~ relation(U_42) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK10]),skolemize(U_39,sK10(U_42,U_48))],[f_6_6]) ).
cnf(f_6_9,plain,
( in(U_44,U_47)
| ~ in(ordered_pair(U_36,U_44),U_42)
| U_47 != relation_rng(U_42)
| ~ relation(U_42) ),
inference(clausify,[status(thm)],[f_6_7]) ).
fof(f_8_1,plain,
! [A] :
( relation_field(A) = set_union2(relation_dom(A),relation_rng(A))
| ~ relation(A) ),
inference(fof_nnf,[status(thm)],[d6_relat_1]) ).
fof(f_8_2,plain,
! [U_51] :
( relation_field(U_51) = set_union2(relation_dom(U_51),relation_rng(U_51))
| ~ relation(U_51) ),
inference(variable_rename,[status(thm)],[f_8_1]) ).
cnf(f_8_3,plain,
( relation_field(U_51) = set_union2(relation_dom(U_51),relation_rng(U_51))
| ~ relation(U_51) ),
inference(clausify,[status(thm)],[f_8_2]) ).
fof(f_33_1,negated_conjecture,
~ ! [A,B,C] :
( relation(C)
=> ( in(ordered_pair(A,B),C)
=> ( in(B,relation_field(C))
& in(A,relation_field(C)) ) ) ),
inference(negate,[status(cth)],[t30_relat_1]) ).
fof(f_33_2,negated_conjecture,
? [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)],[f_33_1]) ).
fof(f_33_3,negated_conjecture,
? [U_77,U_76,U_75] :
( ( ~ in(U_76,relation_field(U_75))
| ~ in(U_77,relation_field(U_75)) )
& in(ordered_pair(U_77,U_76),U_75)
& relation(U_75) ),
inference(variable_rename,[status(thm)],[f_33_2]) ).
fof(f_33_4,negated_conjecture,
? [U_76,U_75] :
( ( ~ in(U_76,relation_field(U_75))
| ~ in(sK15,relation_field(U_75)) )
& in(ordered_pair(sK15,U_76),U_75)
& relation(U_75) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK15]),skolemize(U_77,sK15)],[f_33_3]) ).
fof(f_33_5,negated_conjecture,
? [U_75] :
( ( ~ in(sK16,relation_field(U_75))
| ~ in(sK15,relation_field(U_75)) )
& in(ordered_pair(sK15,sK16),U_75)
& relation(U_75) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK16]),skolemize(U_76,sK16)],[f_33_4]) ).
fof(f_33_6,negated_conjecture,
( ( ~ in(sK16,relation_field(sK17))
| ~ in(sK15,relation_field(sK17)) )
& in(ordered_pair(sK15,sK16),sK17)
& relation(sK17) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK17]),skolemize(U_75,sK17)],[f_33_5]) ).
fof(f_33_7,negated_conjecture,
( ( ~ in(sK16,relation_field(sK17))
| ~ in(sK15,relation_field(sK17)) )
& in(ordered_pair(sK15,sK16),sK17)
& relation(sK17) ),
inference(definitional_conversion,[status(esa)],[f_33_6]) ).
cnf(f_33_8,negated_conjecture,
relation(sK17),
inference(clausify,[status(thm)],[f_33_7]) ).
cnf(f_33_9,negated_conjecture,
in(ordered_pair(sK15,sK16),sK17),
inference(clausify,[status(thm)],[f_33_7]) ).
cnf(f_33_10,negated_conjecture,
( ~ in(sK16,relation_field(sK17))
| ~ in(sK15,relation_field(sK17)) ),
inference(clausify,[status(thm)],[f_33_7]) ).
cnf(equality_1,axiom,
Eq_x_0 = Eq_x_0,
theory(equality,[reflexivity]) ).
cnf(t1,plain,
( ~ in(sK16,relation_field(sK17))
| ~ in(sK15,relation_field(sK17)) ),
inference(start,[status(thm),parent(0:0)],[f_33_10]) ).
cnf(t2,plain,
( ~ in(sK15,relation_dom(sK17))
| relation_field(sK17) != set_union2(relation_dom(sK17),relation_rng(sK17))
| in(sK15,relation_field(sK17)) ),
inference(extension,[status(thm),parent(t1:1)],[f_4_7]) ).
cnf(t3,plain,
$false,
inference(connection,[status(thm),parent(t2:1)],[t2:1,t1:1]) ).
cnf(t4,plain,
( ~ relation(sK17)
| relation_field(sK17) = set_union2(relation_dom(sK17),relation_rng(sK17)) ),
inference(extension,[status(thm),parent(t2:2)],[f_8_3]) ).
cnf(t5,plain,
$false,
inference(connection,[status(thm),parent(t4:1)],[t4:1,t2:2]) ).
cnf(t6,plain,
relation(sK17),
inference(extension,[status(thm),parent(t4:2)],[f_33_8]) ).
cnf(t7,plain,
$false,
inference(connection,[status(thm),parent(t6:1)],[t6:1,t4:2]) ).
cnf(t8,plain,
( relation_dom(sK17) != relation_dom(sK17)
| ~ in(ordered_pair(sK15,sK16),sK17)
| ~ relation(sK17)
| in(sK15,relation_dom(sK17)) ),
inference(extension,[status(thm),parent(t2:3)],[f_5_9]) ).
cnf(t9,plain,
$false,
inference(connection,[status(thm),parent(t8:1)],[t8:1,t2:3]) ).
cnf(t10,plain,
relation(sK17),
inference(extension,[status(thm),parent(t8:2)],[f_33_8]) ).
cnf(t11,plain,
$false,
inference(connection,[status(thm),parent(t10:1)],[t10:1,t8:2]) ).
cnf(t12,plain,
in(ordered_pair(sK15,sK16),sK17),
inference(extension,[status(thm),parent(t8:3)],[f_33_9]) ).
cnf(t13,plain,
$false,
inference(connection,[status(thm),parent(t12:1)],[t12:1,t8:3]) ).
cnf(t14,plain,
relation_dom(sK17) = relation_dom(sK17),
inference(extension,[status(thm),parent(t8:4)],[equality_1]) ).
cnf(t15,plain,
$false,
inference(connection,[status(thm),parent(t14:1)],[t14:1,t8:4]) ).
cnf(t16,plain,
( ~ in(sK16,relation_rng(sK17))
| relation_field(sK17) != set_union2(relation_dom(sK17),relation_rng(sK17))
| in(sK16,relation_field(sK17)) ),
inference(extension,[status(thm),parent(t1:2)],[f_4_8]) ).
cnf(t17,plain,
$false,
inference(connection,[status(thm),parent(t16:1)],[t16:1,t1:2]) ).
cnf(t18,plain,
( ~ relation(sK17)
| relation_field(sK17) = set_union2(relation_dom(sK17),relation_rng(sK17)) ),
inference(extension,[status(thm),parent(t16:2)],[f_8_3]) ).
cnf(t19,plain,
$false,
inference(connection,[status(thm),parent(t18:1)],[t18:1,t16:2]) ).
cnf(t20,plain,
relation(sK17),
inference(extension,[status(thm),parent(t18:2)],[f_33_8]) ).
cnf(t21,plain,
$false,
inference(connection,[status(thm),parent(t20:1)],[t20:1,t18:2]) ).
cnf(t22,plain,
( relation_rng(sK17) != relation_rng(sK17)
| ~ in(ordered_pair(sK15,sK16),sK17)
| ~ relation(sK17)
| in(sK16,relation_rng(sK17)) ),
inference(extension,[status(thm),parent(t16:3)],[f_6_9]) ).
cnf(t23,plain,
$false,
inference(connection,[status(thm),parent(t22:1)],[t22:1,t16:3]) ).
cnf(t24,plain,
relation(sK17),
inference(extension,[status(thm),parent(t22:2)],[f_33_8]) ).
cnf(t25,plain,
$false,
inference(connection,[status(thm),parent(t24:1)],[t24:1,t22:2]) ).
cnf(t26,plain,
in(ordered_pair(sK15,sK16),sK17),
inference(extension,[status(thm),parent(t22:3)],[f_33_9]) ).
cnf(t27,plain,
$false,
inference(connection,[status(thm),parent(t26:1)],[t26:1,t22:3]) ).
cnf(t28,plain,
relation_rng(sK17) = relation_rng(sK17),
inference(extension,[status(thm),parent(t22:4)],[equality_1]) ).
cnf(t29,plain,
$false,
inference(connection,[status(thm),parent(t28:1)],[t28:1,t22:4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEU180+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.02 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
% 0.07/0.35 % Computer : n019.cluster.edu
% 0.07/0.35 % Model : x86_64 x86_64
% 0.07/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.35 % Memory : 8046.5625MB
% 0.07/0.35 % OS : Linux 6.8.0-71-generic
% 0.07/0.35 % CPULimit : 300
% 0.07/0.35 % WCLimit : 300
% 0.07/0.35 % DateTime : Sat Sep 19 23:26:38 UTC 2026
% 0.07/0.35 % CPUTime :
% 0.55/0.89 % SZS status Theorem for theBenchmark
% 0.55/0.89 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------