%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : SEU046+1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n011.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 08:57:59 AM UTC 2026
% Result : Theorem 75.78s 76.05s
% Output : Proof 75.78s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 7
% Syntax : Number of formulae : 71 ( 31 unt; 0 def)
% Number of atoms : 290 ( 37 equ)
% Maximal formula atoms : 22 ( 4 avg)
% Number of connectives : 356 ( 137 ~; 132 |; 76 &)
% ( 3 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 2 con; 0-3 aty)
% Number of variables : 111 ( 4 sgn 74 !; 18 ?)
% Comments :
%------------------------------------------------------------------------------
fof(d3_tarski,axiom,
! [A,B] :
( subset(A,B)
<=> ! [C] :
( in(C,A)
=> in(C,B) ) ),
file('theBenchmark.p',d3_tarski) ).
fof(fc5_funct_1,axiom,
! [A,B] :
( ( function(B)
& relation(B) )
=> ( function(relation_rng_restriction(A,B))
& relation(relation_rng_restriction(A,B)) ) ),
file('theBenchmark.p',fc5_funct_1) ).
fof(t118_relat_1,axiom,
! [A,B] :
( relation(B)
=> subset(relation_rng(relation_rng_restriction(A,B)),relation_rng(B)) ),
file('theBenchmark.p',t118_relat_1) ).
fof(t85_funct_1,axiom,
! [A,B] :
( ( function(B)
& relation(B) )
=> ! [C] :
( ( function(C)
& relation(C) )
=> ( B = relation_rng_restriction(A,C)
<=> ( ! [D] :
( in(D,relation_dom(B))
=> apply(B,D) = apply(C,D) )
& ! [D] :
( in(D,relation_dom(B))
<=> ( in(apply(C,D),A)
& in(D,relation_dom(C)) ) ) ) ) ) ),
file('theBenchmark.p',t85_funct_1) ).
fof(t89_funct_1,conjecture,
! [A,B] :
( ( function(B)
& relation(B) )
=> ( subset(relation_rng(relation_rng_restriction(A,B)),relation_rng(B))
& subset(relation_dom(relation_rng_restriction(A,B)),relation_dom(B)) ) ),
file('theBenchmark.p',t89_funct_1) ).
fof(f_5_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_5_2,plain,
! [U_8,U_7] :
( ( subset(U_8,U_7)
| ? [U_6] :
( ~ in(U_6,U_7)
& in(U_6,U_8) ) )
& ( ! [U_5] :
( in(U_5,U_7)
| ~ in(U_5,U_8) )
| ~ subset(U_8,U_7) ) ),
inference(variable_rename,[status(thm)],[f_5_1]) ).
fof(f_5_3,plain,
( ! [U_12,U_10] :
( subset(U_12,U_10)
| ? [U_6] :
( ~ in(U_6,U_10)
& in(U_6,U_12) ) )
& ! [U_11,U_9] :
( ! [U_5] :
( in(U_5,U_9)
| ~ in(U_5,U_11) )
| ~ subset(U_11,U_9) ) ),
inference(miniscope,[status(thm)],[f_5_2]) ).
fof(f_5_4,plain,
( ! [U_12,U_10] :
( subset(U_12,U_10)
| ( ~ in(sK1(U_12,U_10),U_10)
& in(sK1(U_12,U_10),U_12) ) )
& ! [U_11,U_9] :
( ! [U_5] :
( in(U_5,U_9)
| ~ in(U_5,U_11) )
| ~ subset(U_11,U_9) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(U_6,sK1(U_12,U_10))],[f_5_3]) ).
cnf(f_5_6,plain,
( in(sK1(U_12,U_10),U_12)
| subset(U_12,U_10) ),
inference(clausify,[status(thm)],[f_5_4]) ).
cnf(f_5_7,plain,
( ~ in(sK1(U_12,U_10),U_10)
| subset(U_12,U_10) ),
inference(clausify,[status(thm)],[f_5_4]) ).
fof(f_12_1,plain,
! [A,B] :
( ( function(relation_rng_restriction(A,B))
& relation(relation_rng_restriction(A,B)) )
| ~ function(B)
| ~ relation(B) ),
inference(fof_nnf,[status(thm)],[fc5_funct_1]) ).
fof(f_12_2,plain,
! [U_19,U_18] :
( ( function(relation_rng_restriction(U_19,U_18))
& relation(relation_rng_restriction(U_19,U_18)) )
| ~ function(U_18)
| ~ relation(U_18) ),
inference(variable_rename,[status(thm)],[f_12_1]) ).
cnf(f_12_3,plain,
( relation(relation_rng_restriction(U_19,U_18))
| ~ function(U_18)
| ~ relation(U_18) ),
inference(clausify,[status(thm)],[f_12_2]) ).
cnf(f_12_4,plain,
( function(relation_rng_restriction(U_19,U_18))
| ~ function(U_18)
| ~ relation(U_18) ),
inference(clausify,[status(thm)],[f_12_2]) ).
fof(f_28_1,plain,
! [A,B] :
( subset(relation_rng(relation_rng_restriction(A,B)),relation_rng(B))
| ~ relation(B) ),
inference(fof_nnf,[status(thm)],[t118_relat_1]) ).
fof(f_28_2,plain,
! [U_39,U_38] :
( subset(relation_rng(relation_rng_restriction(U_39,U_38)),relation_rng(U_38))
| ~ relation(U_38) ),
inference(variable_rename,[status(thm)],[f_28_1]) ).
cnf(f_28_3,plain,
( subset(relation_rng(relation_rng_restriction(U_39,U_38)),relation_rng(U_38))
| ~ relation(U_38) ),
inference(clausify,[status(thm)],[f_28_2]) ).
fof(f_36_1,plain,
! [A,B] :
( ! [C] :
( ( ( B = relation_rng_restriction(A,C)
| ? [D] :
( apply(B,D) != apply(C,D)
& in(D,relation_dom(B)) )
| ? [D] :
( ( ~ in(D,relation_dom(B))
& in(apply(C,D),A)
& in(D,relation_dom(C)) )
| ( ( ~ in(apply(C,D),A)
| ~ in(D,relation_dom(C)) )
& in(D,relation_dom(B)) ) ) )
& ( ( ! [D] :
( apply(B,D) = apply(C,D)
| ~ in(D,relation_dom(B)) )
& ! [D] :
( ( in(D,relation_dom(B))
| ~ in(apply(C,D),A)
| ~ in(D,relation_dom(C)) )
& ( ( in(apply(C,D),A)
& in(D,relation_dom(C)) )
| ~ in(D,relation_dom(B)) ) ) )
| B != relation_rng_restriction(A,C) ) )
| ~ function(C)
| ~ relation(C) )
| ~ function(B)
| ~ relation(B) ),
inference(fof_nnf,[status(thm)],[t85_funct_1]) ).
fof(f_36_2,plain,
! [U_65,U_64] :
( ! [U_63] :
( ( ( U_64 = relation_rng_restriction(U_65,U_63)
| ? [U_62] :
( apply(U_64,U_62) != apply(U_63,U_62)
& in(U_62,relation_dom(U_64)) )
| ? [U_61] :
( ( ~ in(U_61,relation_dom(U_64))
& in(apply(U_63,U_61),U_65)
& in(U_61,relation_dom(U_63)) )
| ( ( ~ in(apply(U_63,U_61),U_65)
| ~ in(U_61,relation_dom(U_63)) )
& in(U_61,relation_dom(U_64)) ) ) )
& ( ( ! [U_60] :
( apply(U_64,U_60) = apply(U_63,U_60)
| ~ in(U_60,relation_dom(U_64)) )
& ! [U_59] :
( ( in(U_59,relation_dom(U_64))
| ~ in(apply(U_63,U_59),U_65)
| ~ in(U_59,relation_dom(U_63)) )
& ( ( in(apply(U_63,U_59),U_65)
& in(U_59,relation_dom(U_63)) )
| ~ in(U_59,relation_dom(U_64)) ) ) )
| U_64 != relation_rng_restriction(U_65,U_63) ) )
| ~ function(U_63)
| ~ relation(U_63) )
| ~ function(U_64)
| ~ relation(U_64) ),
inference(variable_rename,[status(thm)],[f_36_1]) ).
fof(f_36_3,plain,
! [U_65,U_64] :
( ! [U_63] :
( ( ( U_64 = relation_rng_restriction(U_65,U_63)
| ? [U_62] :
( apply(U_64,U_62) != apply(U_63,U_62)
& in(U_62,relation_dom(U_64)) )
| ? [U_69] :
( ~ in(U_69,relation_dom(U_64))
& in(apply(U_63,U_69),U_65)
& in(U_69,relation_dom(U_63)) )
| ? [U_68] :
( ( ~ in(apply(U_63,U_68),U_65)
| ~ in(U_68,relation_dom(U_63)) )
& in(U_68,relation_dom(U_64)) ) )
& ( ( ! [U_60] :
( apply(U_64,U_60) = apply(U_63,U_60)
| ~ in(U_60,relation_dom(U_64)) )
& ! [U_67] :
( in(U_67,relation_dom(U_64))
| ~ in(apply(U_63,U_67),U_65)
| ~ in(U_67,relation_dom(U_63)) )
& ! [U_66] :
( ( in(apply(U_63,U_66),U_65)
& in(U_66,relation_dom(U_63)) )
| ~ in(U_66,relation_dom(U_64)) ) )
| U_64 != relation_rng_restriction(U_65,U_63) ) )
| ~ function(U_63)
| ~ relation(U_63) )
| ~ function(U_64)
| ~ relation(U_64) ),
inference(miniscope,[status(thm)],[f_36_2]) ).
fof(f_36_4,plain,
! [U_65,U_64] :
( ! [U_63] :
( ( ( U_64 = relation_rng_restriction(U_65,U_63)
| ? [U_62] :
( apply(U_64,U_62) != apply(U_63,U_62)
& in(U_62,relation_dom(U_64)) )
| ? [U_69] :
( ~ in(U_69,relation_dom(U_64))
& in(apply(U_63,U_69),U_65)
& in(U_69,relation_dom(U_63)) )
| ( ( ~ in(apply(U_63,sK13(U_65,U_64,U_63)),U_65)
| ~ in(sK13(U_65,U_64,U_63),relation_dom(U_63)) )
& in(sK13(U_65,U_64,U_63),relation_dom(U_64)) ) )
& ( ( ! [U_60] :
( apply(U_64,U_60) = apply(U_63,U_60)
| ~ in(U_60,relation_dom(U_64)) )
& ! [U_67] :
( in(U_67,relation_dom(U_64))
| ~ in(apply(U_63,U_67),U_65)
| ~ in(U_67,relation_dom(U_63)) )
& ! [U_66] :
( ( in(apply(U_63,U_66),U_65)
& in(U_66,relation_dom(U_63)) )
| ~ in(U_66,relation_dom(U_64)) ) )
| U_64 != relation_rng_restriction(U_65,U_63) ) )
| ~ function(U_63)
| ~ relation(U_63) )
| ~ function(U_64)
| ~ relation(U_64) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK13]),skolemize(U_68,sK13(U_65,U_64,U_63))],[f_36_3]) ).
fof(f_36_5,plain,
! [U_65,U_64] :
( ! [U_63] :
( ( ( U_64 = relation_rng_restriction(U_65,U_63)
| ? [U_62] :
( apply(U_64,U_62) != apply(U_63,U_62)
& in(U_62,relation_dom(U_64)) )
| ( ~ in(sK14(U_65,U_64,U_63),relation_dom(U_64))
& in(apply(U_63,sK14(U_65,U_64,U_63)),U_65)
& in(sK14(U_65,U_64,U_63),relation_dom(U_63)) )
| ( ( ~ in(apply(U_63,sK13(U_65,U_64,U_63)),U_65)
| ~ in(sK13(U_65,U_64,U_63),relation_dom(U_63)) )
& in(sK13(U_65,U_64,U_63),relation_dom(U_64)) ) )
& ( ( ! [U_60] :
( apply(U_64,U_60) = apply(U_63,U_60)
| ~ in(U_60,relation_dom(U_64)) )
& ! [U_67] :
( in(U_67,relation_dom(U_64))
| ~ in(apply(U_63,U_67),U_65)
| ~ in(U_67,relation_dom(U_63)) )
& ! [U_66] :
( ( in(apply(U_63,U_66),U_65)
& in(U_66,relation_dom(U_63)) )
| ~ in(U_66,relation_dom(U_64)) ) )
| U_64 != relation_rng_restriction(U_65,U_63) ) )
| ~ function(U_63)
| ~ relation(U_63) )
| ~ function(U_64)
| ~ relation(U_64) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK14]),skolemize(U_69,sK14(U_65,U_64,U_63))],[f_36_4]) ).
fof(f_36_6,plain,
! [U_65,U_64] :
( ! [U_63] :
( ( ( U_64 = relation_rng_restriction(U_65,U_63)
| ( apply(U_64,sK15(U_65,U_64,U_63)) != apply(U_63,sK15(U_65,U_64,U_63))
& in(sK15(U_65,U_64,U_63),relation_dom(U_64)) )
| ( ~ in(sK14(U_65,U_64,U_63),relation_dom(U_64))
& in(apply(U_63,sK14(U_65,U_64,U_63)),U_65)
& in(sK14(U_65,U_64,U_63),relation_dom(U_63)) )
| ( ( ~ in(apply(U_63,sK13(U_65,U_64,U_63)),U_65)
| ~ in(sK13(U_65,U_64,U_63),relation_dom(U_63)) )
& in(sK13(U_65,U_64,U_63),relation_dom(U_64)) ) )
& ( ( ! [U_60] :
( apply(U_64,U_60) = apply(U_63,U_60)
| ~ in(U_60,relation_dom(U_64)) )
& ! [U_67] :
( in(U_67,relation_dom(U_64))
| ~ in(apply(U_63,U_67),U_65)
| ~ in(U_67,relation_dom(U_63)) )
& ! [U_66] :
( ( in(apply(U_63,U_66),U_65)
& in(U_66,relation_dom(U_63)) )
| ~ in(U_66,relation_dom(U_64)) ) )
| U_64 != relation_rng_restriction(U_65,U_63) ) )
| ~ function(U_63)
| ~ relation(U_63) )
| ~ function(U_64)
| ~ relation(U_64) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK15]),skolemize(U_62,sK15(U_65,U_64,U_63))],[f_36_5]) ).
cnf(f_36_7,plain,
( in(U_66,relation_dom(U_63))
| ~ in(U_66,relation_dom(U_64))
| U_64 != relation_rng_restriction(U_65,U_63)
| ~ function(U_63)
| ~ relation(U_63)
| ~ function(U_64)
| ~ relation(U_64) ),
inference(clausify,[status(thm)],[f_36_6]) ).
fof(f_37_1,negated_conjecture,
~ ! [A,B] :
( ( function(B)
& relation(B) )
=> ( subset(relation_rng(relation_rng_restriction(A,B)),relation_rng(B))
& subset(relation_dom(relation_rng_restriction(A,B)),relation_dom(B)) ) ),
inference(negate,[status(cth)],[t89_funct_1]) ).
fof(f_37_2,negated_conjecture,
? [A,B] :
( ( ~ subset(relation_rng(relation_rng_restriction(A,B)),relation_rng(B))
| ~ subset(relation_dom(relation_rng_restriction(A,B)),relation_dom(B)) )
& function(B)
& relation(B) ),
inference(fof_nnf,[status(thm)],[f_37_1]) ).
fof(f_37_3,negated_conjecture,
? [U_71,U_70] :
( ( ~ subset(relation_rng(relation_rng_restriction(U_71,U_70)),relation_rng(U_70))
| ~ subset(relation_dom(relation_rng_restriction(U_71,U_70)),relation_dom(U_70)) )
& function(U_70)
& relation(U_70) ),
inference(variable_rename,[status(thm)],[f_37_2]) ).
fof(f_37_4,negated_conjecture,
? [U_70] :
( ( ~ subset(relation_rng(relation_rng_restriction(sK16,U_70)),relation_rng(U_70))
| ~ subset(relation_dom(relation_rng_restriction(sK16,U_70)),relation_dom(U_70)) )
& function(U_70)
& relation(U_70) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK16]),skolemize(U_71,sK16)],[f_37_3]) ).
fof(f_37_5,negated_conjecture,
( ( ~ subset(relation_rng(relation_rng_restriction(sK16,sK17)),relation_rng(sK17))
| ~ subset(relation_dom(relation_rng_restriction(sK16,sK17)),relation_dom(sK17)) )
& function(sK17)
& relation(sK17) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK17]),skolemize(U_70,sK17)],[f_37_4]) ).
cnf(f_37_6,negated_conjecture,
relation(sK17),
inference(clausify,[status(thm)],[f_37_5]) ).
cnf(f_37_7,negated_conjecture,
function(sK17),
inference(clausify,[status(thm)],[f_37_5]) ).
cnf(f_37_8,negated_conjecture,
( ~ subset(relation_rng(relation_rng_restriction(sK16,sK17)),relation_rng(sK17))
| ~ subset(relation_dom(relation_rng_restriction(sK16,sK17)),relation_dom(sK17)) ),
inference(clausify,[status(thm)],[f_37_5]) ).
cnf(equality_1,axiom,
Eq_x_0 = Eq_x_0,
theory(equality,[reflexivity]) ).
cnf(equality_4,axiom,
( relation_rng_restriction(Eq_x_0,Eq_x_1) = relation_rng_restriction(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(t1,plain,
( ~ subset(relation_rng(relation_rng_restriction(sK16,sK17)),relation_rng(sK17))
| ~ subset(relation_dom(relation_rng_restriction(sK16,sK17)),relation_dom(sK17)) ),
inference(start,[status(thm),parent(0:0)],[f_37_8]) ).
cnf(t2,plain,
( in(sK1(relation_dom(relation_rng_restriction(sK16,sK17)),relation_dom(sK17)),relation_dom(relation_rng_restriction(sK16,sK17)))
| subset(relation_dom(relation_rng_restriction(sK16,sK17)),relation_dom(sK17)) ),
inference(extension,[status(thm),parent(t1:1)],[f_5_6]) ).
cnf(t3,plain,
$false,
inference(connection,[status(thm),parent(t2:1)],[t2:1,t1:1]) ).
cnf(t4,plain,
( ~ function(relation_rng_restriction(sK16,sK17))
| ~ relation(sK17)
| ~ function(sK17)
| relation_rng_restriction(sK16,sK17) != relation_rng_restriction(sK16,sK17)
| in(sK1(relation_dom(relation_rng_restriction(sK16,sK17)),relation_dom(sK17)),relation_dom(sK17))
| ~ relation(relation_rng_restriction(sK16,sK17))
| ~ in(sK1(relation_dom(relation_rng_restriction(sK16,sK17)),relation_dom(sK17)),relation_dom(relation_rng_restriction(sK16,sK17))) ),
inference(extension,[status(thm),parent(t2:2)],[f_36_7]) ).
cnf(t5,plain,
$false,
inference(connection,[status(thm),parent(t4:1)],[t4:1,t2:2]) ).
cnf(t6,plain,
( ~ function(sK17)
| ~ relation(sK17)
| relation(relation_rng_restriction(sK16,sK17)) ),
inference(extension,[status(thm),parent(t4:2)],[f_12_3]) ).
cnf(t7,plain,
$false,
inference(connection,[status(thm),parent(t6:1)],[t6:1,t4:2]) ).
cnf(t8,plain,
relation(sK17),
inference(extension,[status(thm),parent(t6:2)],[f_37_6]) ).
cnf(t9,plain,
$false,
inference(connection,[status(thm),parent(t8:1)],[t8:1,t6:2]) ).
cnf(t10,plain,
function(sK17),
inference(extension,[status(thm),parent(t6:3)],[f_37_7]) ).
cnf(t11,plain,
$false,
inference(connection,[status(thm),parent(t10:1)],[t10:1,t6:3]) ).
cnf(t12,plain,
( subset(relation_dom(relation_rng_restriction(sK16,sK17)),relation_dom(sK17))
| ~ in(sK1(relation_dom(relation_rng_restriction(sK16,sK17)),relation_dom(sK17)),relation_dom(sK17)) ),
inference(extension,[status(thm),parent(t4:3)],[f_5_7]) ).
cnf(t13,plain,
$false,
inference(connection,[status(thm),parent(t12:1)],[t12:1,t4:3]) ).
cnf(t14,plain,
$false,
inference(reduction,[status(thm),parent(t12:2)],[t12:2,t1:1]) ).
cnf(t15,plain,
( sK17 != sK17
| sK16 != sK16
| relation_rng_restriction(sK16,sK17) = relation_rng_restriction(sK16,sK17) ),
inference(extension,[status(thm),parent(t4:4)],[equality_4]) ).
cnf(t16,plain,
$false,
inference(connection,[status(thm),parent(t15:1)],[t15:1,t4:4]) ).
cnf(t17,plain,
sK16 = sK16,
inference(extension,[status(thm),parent(t15:2)],[equality_1]) ).
cnf(t18,plain,
$false,
inference(connection,[status(thm),parent(t17:1)],[t17:1,t15:2]) ).
cnf(t19,plain,
sK17 = sK17,
inference(extension,[status(thm),parent(t15:3)],[equality_1]) ).
cnf(t20,plain,
$false,
inference(connection,[status(thm),parent(t19:1)],[t19:1,t15:3]) ).
cnf(t21,plain,
function(sK17),
inference(extension,[status(thm),parent(t4:5)],[f_37_7]) ).
cnf(t22,plain,
$false,
inference(connection,[status(thm),parent(t21:1)],[t21:1,t4:5]) ).
cnf(l11,lemma,
function(sK17),
inference(lemma,[status(cth),parent(t4:5),below(t2:2)],[t4:5]) ).
cnf(t23,plain,
relation(sK17),
inference(extension,[status(thm),parent(t4:6)],[f_37_6]) ).
cnf(t24,plain,
$false,
inference(connection,[status(thm),parent(t23:1)],[t23:1,t4:6]) ).
cnf(l12,lemma,
relation(sK17),
inference(lemma,[status(cth),parent(t4:6),below(t2:2)],[t4:6]) ).
cnf(t25,plain,
( ~ function(sK17)
| ~ relation(sK17)
| function(relation_rng_restriction(sK16,sK17)) ),
inference(extension,[status(thm),parent(t4:7)],[f_12_4]) ).
cnf(t26,plain,
$false,
inference(connection,[status(thm),parent(t25:1)],[t25:1,t4:7]) ).
cnf(t27,plain,
relation(sK17),
inference(lemma_extension,[status(thm),parent(t25:2)],[l12:1]) ).
cnf(t28,plain,
$false,
inference(connection,[status(thm),parent(t27:1)],[t27:1,t25:2]) ).
cnf(t29,plain,
function(sK17),
inference(lemma_extension,[status(thm),parent(t25:3)],[l11:1]) ).
cnf(t30,plain,
$false,
inference(connection,[status(thm),parent(t29:1)],[t29:1,t25:3]) ).
cnf(t31,plain,
( ~ relation(sK17)
| subset(relation_rng(relation_rng_restriction(sK16,sK17)),relation_rng(sK17)) ),
inference(extension,[status(thm),parent(t1:2)],[f_28_3]) ).
cnf(t32,plain,
$false,
inference(connection,[status(thm),parent(t31:1)],[t31:1,t1:2]) ).
cnf(t33,plain,
relation(sK17),
inference(extension,[status(thm),parent(t31:2)],[f_37_6]) ).
cnf(t34,plain,
$false,
inference(connection,[status(thm),parent(t33:1)],[t33:1,t31:2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU046+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.03 This is a FOF_THM_RFO_SEQ problem
% 0.00/0.04 % Command : /export/starexec/sandbox/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n011.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sat Sep 19 23:14:10 UTC 2026
% 0.10/0.36 % CPUTime :
% 75.78/76.05 % SZS status Theorem for theBenchmark
% 75.78/76.05 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------