%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : NUN062+1 : TPTP v9.3.1. Bugfixed v7.4.0.
% 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 : n006.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 08:53:47 AM UTC 2026
% Result : Theorem 30.84s 31.56s
% Output : Proof 30.84s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 6
% Syntax : Number of formulae : 71 ( 26 unt; 0 def)
% Number of atoms : 191 ( 0 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 175 ( 55 ~; 46 |; 74 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 1 con; 0-2 aty)
% Number of variables : 187 ( 3 sgn 95 !; 47 ?)
% Comments :
%------------------------------------------------------------------------------
fof(axiom_5,axiom,
! [X20] : id(X20,X20),
file('NUM009+0.ax',axiom_5) ).
fof(axiom_6,axiom,
! [X21,X22] :
( id(X22,X21)
| ~ id(X21,X22) ),
file('NUM009+0.ax',axiom_6) ).
fof(axiom_1a,axiom,
! [X1,X8] :
? [Y4] :
( ? [Y7] :
( r3(X1,X8,Y7)
& r2(Y7,Y4) )
& ? [Y5] :
( ? [Y15] :
( r3(X1,Y15,Y5)
& r2(X8,Y15) )
& id(Y5,Y4) ) ),
file('NUM009+0.ax',axiom_1a) ).
fof(axiom_2a,axiom,
! [X2,X9] :
? [Y2] :
( ? [Y6] :
( r4(X2,X9,Y6)
& r3(Y6,X2,Y2) )
& ? [Y3] :
( ? [Y14] :
( r4(X2,Y14,Y3)
& r2(X9,Y14) )
& id(Y3,Y2) ) ),
file('NUM009+0.ax',axiom_2a) ).
fof(axiom_7a,axiom,
! [X7,Y10] :
( ~ r2(X7,Y10)
| ! [Y20] :
( ~ r1(Y20)
| ~ id(Y20,Y10) ) ),
file('NUM009+0.ax',axiom_7a) ).
fof(infiniteNumbersid,conjecture,
! [X1] :
? [Y2,Y1] :
( ? [Y3] :
( r3(X1,Y1,Y3)
& id(Y3,Y2) )
& ! [Y4] :
( ~ r1(Y4)
| ~ id(Y1,Y4) ) ),
file('theBenchmark.p',infiniteNumbersid) ).
fof(f_5_1,plain,
! [X20] : id(X20,X20),
inference(fof_nnf,[status(thm)],[axiom_5]) ).
fof(f_5_2,plain,
! [U_13] : id(U_13,U_13),
inference(variable_rename,[status(thm)],[f_5_1]) ).
fof(f_5_3,plain,
! [U_13] : id(U_13,U_13),
inference(definitional_conversion,[status(esa)],[f_5_2]) ).
cnf(f_5_4,plain,
id(U_13,U_13),
inference(clausify,[status(thm)],[f_5_3]) ).
fof(f_6_1,plain,
! [X21,X22] :
( id(X22,X21)
| ~ id(X21,X22) ),
inference(fof_nnf,[status(thm)],[axiom_6]) ).
fof(f_6_2,plain,
! [U_15,U_14] :
( id(U_14,U_15)
| ~ id(U_15,U_14) ),
inference(variable_rename,[status(thm)],[f_6_1]) ).
fof(f_6_3,plain,
! [U_15,U_14] :
( id(U_14,U_15)
| ~ id(U_15,U_14) ),
inference(definitional_conversion,[status(esa)],[f_6_2]) ).
cnf(f_6_4,plain,
( id(U_14,U_15)
| ~ id(U_15,U_14) ),
inference(clausify,[status(thm)],[f_6_3]) ).
fof(f_12_1,plain,
! [X1,X8] :
? [Y4] :
( ? [Y7] :
( r3(X1,X8,Y7)
& r2(Y7,Y4) )
& ? [Y5] :
( ? [Y15] :
( r3(X1,Y15,Y5)
& r2(X8,Y15) )
& id(Y5,Y4) ) ),
inference(fof_nnf,[status(thm)],[axiom_1a]) ).
fof(f_12_2,plain,
! [U_42,U_41] :
? [U_40] :
( ? [U_39] :
( r3(U_42,U_41,U_39)
& r2(U_39,U_40) )
& ? [U_38] :
( ? [U_37] :
( r3(U_42,U_37,U_38)
& r2(U_41,U_37) )
& id(U_38,U_40) ) ),
inference(variable_rename,[status(thm)],[f_12_1]) ).
fof(f_12_3,plain,
! [U_42,U_41] :
( ? [U_39] :
( r3(U_42,U_41,U_39)
& r2(U_39,sK5(U_42,U_41)) )
& ? [U_38] :
( ? [U_37] :
( r3(U_42,U_37,U_38)
& r2(U_41,U_37) )
& id(U_38,sK5(U_42,U_41)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5]),skolemize(U_40,sK5(U_42,U_41))],[f_12_2]) ).
fof(f_12_4,plain,
! [U_42,U_41] :
( ? [U_39] :
( r3(U_42,U_41,U_39)
& r2(U_39,sK5(U_42,U_41)) )
& ? [U_37] :
( r3(U_42,U_37,sK6(U_42,U_41))
& r2(U_41,U_37) )
& id(sK6(U_42,U_41),sK5(U_42,U_41)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK6]),skolemize(U_38,sK6(U_42,U_41))],[f_12_3]) ).
fof(f_12_5,plain,
! [U_42,U_41] :
( ? [U_39] :
( r3(U_42,U_41,U_39)
& r2(U_39,sK5(U_42,U_41)) )
& r3(U_42,sK7(U_42,U_41),sK6(U_42,U_41))
& r2(U_41,sK7(U_42,U_41))
& id(sK6(U_42,U_41),sK5(U_42,U_41)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK7]),skolemize(U_37,sK7(U_42,U_41))],[f_12_4]) ).
fof(f_12_6,plain,
! [U_42,U_41] :
( r3(U_42,U_41,sK8(U_42,U_41))
& r2(sK8(U_42,U_41),sK5(U_42,U_41))
& r3(U_42,sK7(U_42,U_41),sK6(U_42,U_41))
& r2(U_41,sK7(U_42,U_41))
& id(sK6(U_42,U_41),sK5(U_42,U_41)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK8]),skolemize(U_39,sK8(U_42,U_41))],[f_12_5]) ).
fof(f_12_7,plain,
( ! [U_42,U_41] : r3(U_42,U_41,sK8(U_42,U_41))
& ! [U_42,U_41] : r2(sK8(U_42,U_41),sK5(U_42,U_41))
& ! [U_42,U_41] : r3(U_42,sK7(U_42,U_41),sK6(U_42,U_41))
& ! [U_42,U_41] : r2(U_41,sK7(U_42,U_41))
& ! [U_42,U_41] : id(sK6(U_42,U_41),sK5(U_42,U_41)) ),
inference(definitional_conversion,[status(esa)],[f_12_6]) ).
cnf(f_12_12,plain,
r3(U_42,U_41,sK8(U_42,U_41)),
inference(clausify,[status(thm)],[f_12_7]) ).
fof(f_13_1,plain,
! [X2,X9] :
? [Y2] :
( ? [Y6] :
( r4(X2,X9,Y6)
& r3(Y6,X2,Y2) )
& ? [Y3] :
( ? [Y14] :
( r4(X2,Y14,Y3)
& r2(X9,Y14) )
& id(Y3,Y2) ) ),
inference(fof_nnf,[status(thm)],[axiom_2a]) ).
fof(f_13_2,plain,
! [U_48,U_47] :
? [U_46] :
( ? [U_45] :
( r4(U_48,U_47,U_45)
& r3(U_45,U_48,U_46) )
& ? [U_44] :
( ? [U_43] :
( r4(U_48,U_43,U_44)
& r2(U_47,U_43) )
& id(U_44,U_46) ) ),
inference(variable_rename,[status(thm)],[f_13_1]) ).
fof(f_13_3,plain,
! [U_48,U_47] :
( ? [U_45] :
( r4(U_48,U_47,U_45)
& r3(U_45,U_48,sK9(U_48,U_47)) )
& ? [U_44] :
( ? [U_43] :
( r4(U_48,U_43,U_44)
& r2(U_47,U_43) )
& id(U_44,sK9(U_48,U_47)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK9]),skolemize(U_46,sK9(U_48,U_47))],[f_13_2]) ).
fof(f_13_4,plain,
! [U_48,U_47] :
( ? [U_45] :
( r4(U_48,U_47,U_45)
& r3(U_45,U_48,sK9(U_48,U_47)) )
& ? [U_43] :
( r4(U_48,U_43,sK10(U_48,U_47))
& r2(U_47,U_43) )
& id(sK10(U_48,U_47),sK9(U_48,U_47)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK10]),skolemize(U_44,sK10(U_48,U_47))],[f_13_3]) ).
fof(f_13_5,plain,
! [U_48,U_47] :
( ? [U_45] :
( r4(U_48,U_47,U_45)
& r3(U_45,U_48,sK9(U_48,U_47)) )
& r4(U_48,sK11(U_48,U_47),sK10(U_48,U_47))
& r2(U_47,sK11(U_48,U_47))
& id(sK10(U_48,U_47),sK9(U_48,U_47)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK11]),skolemize(U_43,sK11(U_48,U_47))],[f_13_4]) ).
fof(f_13_6,plain,
! [U_48,U_47] :
( r4(U_48,U_47,sK12(U_48,U_47))
& r3(sK12(U_48,U_47),U_48,sK9(U_48,U_47))
& r4(U_48,sK11(U_48,U_47),sK10(U_48,U_47))
& r2(U_47,sK11(U_48,U_47))
& id(sK10(U_48,U_47),sK9(U_48,U_47)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK12]),skolemize(U_45,sK12(U_48,U_47))],[f_13_5]) ).
fof(f_13_7,plain,
( ! [U_47,U_48] : r4(U_48,U_47,sK12(U_48,U_47))
& ! [U_47,U_48] : r3(sK12(U_48,U_47),U_48,sK9(U_48,U_47))
& ! [U_47,U_48] : r4(U_48,sK11(U_48,U_47),sK10(U_48,U_47))
& ! [U_47,U_48] : r2(U_47,sK11(U_48,U_47))
& ! [U_47,U_48] : id(sK10(U_48,U_47),sK9(U_48,U_47)) ),
inference(definitional_conversion,[status(esa)],[f_13_6]) ).
cnf(f_13_9,plain,
r2(U_47,sK11(U_48,U_47)),
inference(clausify,[status(thm)],[f_13_7]) ).
fof(f_18_1,plain,
! [X7,Y10] :
( ~ r2(X7,Y10)
| ! [Y20] :
( ~ r1(Y20)
| ~ id(Y20,Y10) ) ),
inference(fof_nnf,[status(thm)],[axiom_7a]) ).
fof(f_18_2,plain,
! [U_66,U_65] :
( ~ r2(U_66,U_65)
| ! [U_64] :
( ~ r1(U_64)
| ~ id(U_64,U_65) ) ),
inference(variable_rename,[status(thm)],[f_18_1]) ).
fof(f_18_3,plain,
! [U_64,U_65,U_66] :
( ~ r2(U_66,U_65)
| ~ r1(U_64)
| ~ id(U_64,U_65) ),
inference(definitional_conversion,[status(esa)],[f_18_2]) ).
cnf(f_18_4,plain,
( ~ r2(U_66,U_65)
| ~ r1(U_64)
| ~ id(U_64,U_65) ),
inference(clausify,[status(thm)],[f_18_3]) ).
fof(f_19_1,negated_conjecture,
~ ! [X1] :
? [Y2,Y1] :
( ? [Y3] :
( r3(X1,Y1,Y3)
& id(Y3,Y2) )
& ! [Y4] :
( ~ r1(Y4)
| ~ id(Y1,Y4) ) ),
inference(negate,[status(cth)],[infiniteNumbersid]) ).
fof(f_19_2,negated_conjecture,
? [X1] :
! [Y2,Y1] :
( ! [Y3] :
( ~ r3(X1,Y1,Y3)
| ~ id(Y3,Y2) )
| ? [Y4] :
( r1(Y4)
& id(Y1,Y4) ) ),
inference(fof_nnf,[status(thm)],[f_19_1]) ).
fof(f_19_3,negated_conjecture,
? [U_71] :
! [U_70,U_69] :
( ! [U_68] :
( ~ r3(U_71,U_69,U_68)
| ~ id(U_68,U_70) )
| ? [U_67] :
( r1(U_67)
& id(U_69,U_67) ) ),
inference(variable_rename,[status(thm)],[f_19_2]) ).
fof(f_19_4,negated_conjecture,
! [U_70,U_69] :
( ! [U_68] :
( ~ r3(sK21,U_69,U_68)
| ~ id(U_68,U_70) )
| ? [U_67] :
( r1(U_67)
& id(U_69,U_67) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK21]),skolemize(U_71,sK21)],[f_19_3]) ).
fof(f_19_5,negated_conjecture,
! [U_70,U_69] :
( ! [U_68] :
( ~ r3(sK21,U_69,U_68)
| ~ id(U_68,U_70) )
| ( r1(sK22(U_70,U_69))
& id(U_69,sK22(U_70,U_69)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK22]),skolemize(U_67,sK22(U_70,U_69))],[f_19_4]) ).
fof(f_19_6,negated_conjecture,
( ! [U_69,U_70] :
( r1(sK22(U_70,U_69))
| ~ sP18(U_69,U_70) )
& ! [U_69,U_70] :
( id(U_69,sK22(U_70,U_69))
| ~ sP18(U_69,U_70) )
& ! [U_68,U_69,U_70] :
( ~ r3(sK21,U_69,U_68)
| ~ id(U_68,U_70)
| sP18(U_69,U_70) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP18])],[f_19_5]) ).
cnf(f_19_7,negated_conjecture,
( ~ r3(sK21,U_69,U_68)
| ~ id(U_68,U_70)
| sP18(U_69,U_70) ),
inference(clausify,[status(thm)],[f_19_6]) ).
cnf(f_19_8,negated_conjecture,
( id(U_69,sK22(U_70,U_69))
| ~ sP18(U_69,U_70) ),
inference(clausify,[status(thm)],[f_19_6]) ).
cnf(f_19_9,negated_conjecture,
( r1(sK22(U_70,U_69))
| ~ sP18(U_69,U_70) ),
inference(clausify,[status(thm)],[f_19_6]) ).
cnf(t1,plain,
( ~ id(sK8(sK21,sK11(U_1021,U_1020)),sK22(sK22(sK8(sK21,sK8(sK21,sK8(sK21,sK11(U_1021,U_1020)))),sK8(sK21,sK8(sK21,sK11(U_1021,U_1020)))),sK8(sK21,sK11(U_1021,U_1020))))
| ~ r3(sK21,sK11(U_1021,U_1020),sK8(sK21,sK11(U_1021,U_1020)))
| sP18(sK11(U_1021,U_1020),sK22(sK22(sK8(sK21,sK8(sK21,sK8(sK21,sK11(U_1021,U_1020)))),sK8(sK21,sK8(sK21,sK11(U_1021,U_1020)))),sK8(sK21,sK11(U_1021,U_1020)))) ),
inference(start,[status(thm),parent(0:0)],[f_19_7]) ).
cnf(t2,plain,
( id(sK11(U_1021,U_1020),sK22(sK22(sK22(sK8(sK21,sK8(sK21,sK8(sK21,sK11(U_1021,U_1020)))),sK8(sK21,sK8(sK21,sK11(U_1021,U_1020)))),sK8(sK21,sK11(U_1021,U_1020))),sK11(U_1021,U_1020)))
| ~ sP18(sK11(U_1021,U_1020),sK22(sK22(sK8(sK21,sK8(sK21,sK8(sK21,sK11(U_1021,U_1020)))),sK8(sK21,sK8(sK21,sK11(U_1021,U_1020)))),sK8(sK21,sK11(U_1021,U_1020)))) ),
inference(extension,[status(thm),parent(t1:1)],[f_19_8]) ).
cnf(t3,plain,
$false,
inference(connection,[status(thm),parent(t2:1)],[t2:1,t1:1]) ).
cnf(t4,plain,
( id(sK22(sK22(sK22(sK8(sK21,sK8(sK21,sK8(sK21,sK11(U_1021,U_1020)))),sK8(sK21,sK8(sK21,sK11(U_1021,U_1020)))),sK8(sK21,sK11(U_1021,U_1020))),sK11(U_1021,U_1020)),sK11(U_1021,U_1020))
| ~ id(sK11(U_1021,U_1020),sK22(sK22(sK22(sK8(sK21,sK8(sK21,sK8(sK21,sK11(U_1021,U_1020)))),sK8(sK21,sK8(sK21,sK11(U_1021,U_1020)))),sK8(sK21,sK11(U_1021,U_1020))),sK11(U_1021,U_1020))) ),
inference(extension,[status(thm),parent(t2:2)],[f_6_4]) ).
cnf(t5,plain,
$false,
inference(connection,[status(thm),parent(t4:1)],[t4:1,t2:2]) ).
cnf(t6,plain,
( ~ r1(sK22(sK22(sK22(sK8(sK21,sK8(sK21,sK8(sK21,sK11(U_1021,U_1020)))),sK8(sK21,sK8(sK21,sK11(U_1021,U_1020)))),sK8(sK21,sK11(U_1021,U_1020))),sK11(U_1021,U_1020)))
| ~ r2(U_1020,sK11(U_1021,U_1020))
| ~ id(sK22(sK22(sK22(sK8(sK21,sK8(sK21,sK8(sK21,sK11(U_1021,U_1020)))),sK8(sK21,sK8(sK21,sK11(U_1021,U_1020)))),sK8(sK21,sK11(U_1021,U_1020))),sK11(U_1021,U_1020)),sK11(U_1021,U_1020)) ),
inference(extension,[status(thm),parent(t4:2)],[f_18_4]) ).
cnf(t7,plain,
$false,
inference(connection,[status(thm),parent(t6:1)],[t6:1,t4:2]) ).
cnf(t8,plain,
r2(U_1020,sK11(U_1021,U_1020)),
inference(extension,[status(thm),parent(t6:2)],[f_13_9]) ).
cnf(t9,plain,
$false,
inference(connection,[status(thm),parent(t8:1)],[t8:1,t6:2]) ).
cnf(t10,plain,
( ~ sP18(sK11(U_1021,U_1020),sK22(sK22(sK8(sK21,sK8(sK21,sK8(sK21,sK11(U_1021,U_1020)))),sK8(sK21,sK8(sK21,sK11(U_1021,U_1020)))),sK8(sK21,sK11(U_1021,U_1020))))
| r1(sK22(sK22(sK22(sK8(sK21,sK8(sK21,sK8(sK21,sK11(U_1021,U_1020)))),sK8(sK21,sK8(sK21,sK11(U_1021,U_1020)))),sK8(sK21,sK11(U_1021,U_1020))),sK11(U_1021,U_1020))) ),
inference(extension,[status(thm),parent(t6:3)],[f_19_9]) ).
cnf(t11,plain,
$false,
inference(connection,[status(thm),parent(t10:1)],[t10:1,t6:3]) ).
cnf(t12,plain,
$false,
inference(reduction,[status(thm),parent(t10:2)],[t10:2,t1:1]) ).
cnf(t13,plain,
r3(sK21,sK11(U_1021,U_1020),sK8(sK21,sK11(U_1021,U_1020))),
inference(extension,[status(thm),parent(t1:2)],[f_12_12]) ).
cnf(t14,plain,
$false,
inference(connection,[status(thm),parent(t13:1)],[t13:1,t1:2]) ).
cnf(t15,plain,
( ~ sP18(sK8(sK21,sK11(U_1021,U_1020)),sK22(sK8(sK21,sK8(sK21,sK8(sK21,sK11(U_1021,U_1020)))),sK8(sK21,sK8(sK21,sK11(U_1021,U_1020)))))
| id(sK8(sK21,sK11(U_1021,U_1020)),sK22(sK22(sK8(sK21,sK8(sK21,sK8(sK21,sK11(U_1021,U_1020)))),sK8(sK21,sK8(sK21,sK11(U_1021,U_1020)))),sK8(sK21,sK11(U_1021,U_1020)))) ),
inference(extension,[status(thm),parent(t1:3)],[f_19_8]) ).
cnf(t16,plain,
$false,
inference(connection,[status(thm),parent(t15:1)],[t15:1,t1:3]) ).
cnf(t17,plain,
( ~ id(sK8(sK21,sK8(sK21,sK11(U_1021,U_1020))),sK22(sK8(sK21,sK8(sK21,sK8(sK21,sK11(U_1021,U_1020)))),sK8(sK21,sK8(sK21,sK11(U_1021,U_1020)))))
| ~ r3(sK21,sK8(sK21,sK11(U_1021,U_1020)),sK8(sK21,sK8(sK21,sK11(U_1021,U_1020))))
| sP18(sK8(sK21,sK11(U_1021,U_1020)),sK22(sK8(sK21,sK8(sK21,sK8(sK21,sK11(U_1021,U_1020)))),sK8(sK21,sK8(sK21,sK11(U_1021,U_1020))))) ),
inference(extension,[status(thm),parent(t15:2)],[f_19_7]) ).
cnf(t18,plain,
$false,
inference(connection,[status(thm),parent(t17:1)],[t17:1,t15:2]) ).
cnf(t19,plain,
r3(sK21,sK8(sK21,sK11(U_1021,U_1020)),sK8(sK21,sK8(sK21,sK11(U_1021,U_1020)))),
inference(extension,[status(thm),parent(t17:2)],[f_12_12]) ).
cnf(t20,plain,
$false,
inference(connection,[status(thm),parent(t19:1)],[t19:1,t17:2]) ).
cnf(t21,plain,
( ~ sP18(sK8(sK21,sK8(sK21,sK11(U_1021,U_1020))),sK8(sK21,sK8(sK21,sK8(sK21,sK11(U_1021,U_1020)))))
| id(sK8(sK21,sK8(sK21,sK11(U_1021,U_1020))),sK22(sK8(sK21,sK8(sK21,sK8(sK21,sK11(U_1021,U_1020)))),sK8(sK21,sK8(sK21,sK11(U_1021,U_1020))))) ),
inference(extension,[status(thm),parent(t17:3)],[f_19_8]) ).
cnf(t22,plain,
$false,
inference(connection,[status(thm),parent(t21:1)],[t21:1,t17:3]) ).
cnf(t23,plain,
( ~ id(sK8(sK21,sK8(sK21,sK8(sK21,sK11(U_1021,U_1020)))),sK8(sK21,sK8(sK21,sK8(sK21,sK11(U_1021,U_1020)))))
| ~ r3(sK21,sK8(sK21,sK8(sK21,sK11(U_1021,U_1020))),sK8(sK21,sK8(sK21,sK8(sK21,sK11(U_1021,U_1020)))))
| sP18(sK8(sK21,sK8(sK21,sK11(U_1021,U_1020))),sK8(sK21,sK8(sK21,sK8(sK21,sK11(U_1021,U_1020))))) ),
inference(extension,[status(thm),parent(t21:2)],[f_19_7]) ).
cnf(t24,plain,
$false,
inference(connection,[status(thm),parent(t23:1)],[t23:1,t21:2]) ).
cnf(t25,plain,
r3(sK21,sK8(sK21,sK8(sK21,sK11(U_1021,U_1020))),sK8(sK21,sK8(sK21,sK8(sK21,sK11(U_1021,U_1020))))),
inference(extension,[status(thm),parent(t23:2)],[f_12_12]) ).
cnf(t26,plain,
$false,
inference(connection,[status(thm),parent(t25:1)],[t25:1,t23:2]) ).
cnf(t27,plain,
id(sK8(sK21,sK8(sK21,sK8(sK21,sK11(U_1021,U_1020)))),sK8(sK21,sK8(sK21,sK8(sK21,sK11(U_1021,U_1020))))),
inference(extension,[status(thm),parent(t23:3)],[f_5_4]) ).
cnf(t28,plain,
$false,
inference(connection,[status(thm),parent(t27:1)],[t27:1,t23:3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUN062+1 : TPTP v9.3.1. Bugfixed v7.4.0.
% 0.00/0.03 This is a FOF_THM_RFO_NEQ 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
% 0.09/0.78 % Computer : n006.cluster.edu
% 0.09/0.78 % Model : x86_64 x86_64
% 0.09/0.78 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.78 % Memory : 8046.5625MB
% 0.09/0.78 % OS : Linux 6.8.0-71-generic
% 0.09/0.78 % CPULimit : 300
% 0.09/0.78 % WCLimit : 300
% 0.09/0.78 % DateTime : Sat Sep 19 19:29:14 UTC 2026
% 0.09/0.79 % CPUTime :
% 30.84/31.56 % SZS status Theorem for theBenchmark
% 30.84/31.56 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------