%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : NUN073+1 : TPTP v9.3.1. Released v7.3.0.
% 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 08:53:49 AM UTC 2026
% Result : Theorem 0.66s 0.93s
% Output : Proof 0.66s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 3
% Syntax : Number of formulae : 36 ( 16 unt; 0 def)
% Number of atoms : 111 ( 0 equ)
% Maximal formula atoms : 6 ( 3 avg)
% Number of connectives : 118 ( 43 ~; 35 |; 40 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 58 ( 1 sgn 31 !; 20 ?)
% Comments :
%------------------------------------------------------------------------------
fof(axiom_3a,axiom,
! [X3,X10] :
( id(X3,X10)
| ! [Y12] :
( ~ r2(X10,Y12)
| ! [Y13] :
( ~ r2(X3,Y13)
| ~ id(Y13,Y12) ) ) ),
file('NUM009+0.ax',axiom_3a) ).
fof(axiom_7a,axiom,
! [X7,Y10] :
( ~ r2(X7,Y10)
| ! [Y20] :
( ~ r1(Y20)
| ~ id(Y20,Y10) ) ),
file('NUM009+0.ax',axiom_7a) ).
fof(oneunidtwo,conjecture,
! [Y1] :
( ! [Y3] :
( ~ r2(Y3,Y1)
| ! [Y5] :
( ~ r2(Y5,Y3)
| ~ r1(Y5) ) )
| ! [Y2] :
( ~ id(Y2,Y1)
| ! [Y4] :
( ~ r2(Y4,Y2)
| ~ r1(Y4) ) ) ),
file('theBenchmark.p',oneunidtwo) ).
fof(f_14_1,plain,
! [X3,X10] :
( id(X3,X10)
| ! [Y12] :
( ~ r2(X10,Y12)
| ! [Y13] :
( ~ r2(X3,Y13)
| ~ id(Y13,Y12) ) ) ),
inference(fof_nnf,[status(thm)],[axiom_3a]) ).
fof(f_14_2,plain,
! [U_52,U_51] :
( id(U_52,U_51)
| ! [U_50] :
( ~ r2(U_51,U_50)
| ! [U_49] :
( ~ r2(U_52,U_49)
| ~ id(U_49,U_50) ) ) ),
inference(variable_rename,[status(thm)],[f_14_1]) ).
cnf(f_14_3,plain,
( id(U_52,U_51)
| ~ r2(U_51,U_50)
| ~ r2(U_52,U_49)
| ~ id(U_49,U_50) ),
inference(clausify,[status(thm)],[f_14_2]) ).
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]) ).
cnf(f_18_3,plain,
( ~ r2(U_66,U_65)
| ~ r1(U_64)
| ~ id(U_64,U_65) ),
inference(clausify,[status(thm)],[f_18_2]) ).
fof(f_19_1,negated_conjecture,
~ ! [Y1] :
( ! [Y3] :
( ~ r2(Y3,Y1)
| ! [Y5] :
( ~ r2(Y5,Y3)
| ~ r1(Y5) ) )
| ! [Y2] :
( ~ id(Y2,Y1)
| ! [Y4] :
( ~ r2(Y4,Y2)
| ~ r1(Y4) ) ) ),
inference(negate,[status(cth)],[oneunidtwo]) ).
fof(f_19_2,negated_conjecture,
? [Y1] :
( ? [Y3] :
( r2(Y3,Y1)
& ? [Y5] :
( r2(Y5,Y3)
& r1(Y5) ) )
& ? [Y2] :
( id(Y2,Y1)
& ? [Y4] :
( r2(Y4,Y2)
& r1(Y4) ) ) ),
inference(fof_nnf,[status(thm)],[f_19_1]) ).
fof(f_19_3,negated_conjecture,
? [U_71] :
( ? [U_70] :
( r2(U_70,U_71)
& ? [U_69] :
( r2(U_69,U_70)
& r1(U_69) ) )
& ? [U_68] :
( id(U_68,U_71)
& ? [U_67] :
( r2(U_67,U_68)
& r1(U_67) ) ) ),
inference(variable_rename,[status(thm)],[f_19_2]) ).
fof(f_19_4,negated_conjecture,
( ? [U_70] :
( r2(U_70,sK21)
& ? [U_69] :
( r2(U_69,U_70)
& r1(U_69) ) )
& ? [U_68] :
( id(U_68,sK21)
& ? [U_67] :
( r2(U_67,U_68)
& r1(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] :
( r2(U_70,sK21)
& ? [U_69] :
( r2(U_69,U_70)
& r1(U_69) ) )
& id(sK22,sK21)
& ? [U_67] :
( r2(U_67,sK22)
& r1(U_67) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK22]),skolemize(U_68,sK22)],[f_19_4]) ).
fof(f_19_6,negated_conjecture,
( ? [U_70] :
( r2(U_70,sK21)
& ? [U_69] :
( r2(U_69,U_70)
& r1(U_69) ) )
& id(sK22,sK21)
& r2(sK23,sK22)
& r1(sK23) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK23]),skolemize(U_67,sK23)],[f_19_5]) ).
fof(f_19_7,negated_conjecture,
( r2(sK24,sK21)
& ? [U_69] :
( r2(U_69,sK24)
& r1(U_69) )
& id(sK22,sK21)
& r2(sK23,sK22)
& r1(sK23) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK24]),skolemize(U_70,sK24)],[f_19_6]) ).
fof(f_19_8,negated_conjecture,
( r2(sK24,sK21)
& r2(sK25,sK24)
& r1(sK25)
& id(sK22,sK21)
& r2(sK23,sK22)
& r1(sK23) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK25]),skolemize(U_69,sK25)],[f_19_7]) ).
fof(f_19_9,negated_conjecture,
( r2(sK24,sK21)
& r2(sK25,sK24)
& r1(sK25)
& id(sK22,sK21)
& r2(sK23,sK22)
& r1(sK23) ),
inference(definitional_conversion,[status(esa)],[f_19_8]) ).
cnf(f_19_10,negated_conjecture,
r1(sK23),
inference(clausify,[status(thm)],[f_19_9]) ).
cnf(f_19_11,negated_conjecture,
r2(sK23,sK22),
inference(clausify,[status(thm)],[f_19_9]) ).
cnf(f_19_12,negated_conjecture,
id(sK22,sK21),
inference(clausify,[status(thm)],[f_19_9]) ).
cnf(f_19_14,negated_conjecture,
r2(sK25,sK24),
inference(clausify,[status(thm)],[f_19_9]) ).
cnf(f_19_15,negated_conjecture,
r2(sK24,sK21),
inference(clausify,[status(thm)],[f_19_9]) ).
cnf(t1,plain,
( ~ r1(sK23)
| ~ r2(sK25,sK24)
| ~ id(sK23,sK24) ),
inference(start,[status(thm),parent(0:0)],[f_18_3]) ).
cnf(t2,plain,
( ~ r2(sK23,sK22)
| ~ r2(sK24,sK21)
| ~ id(sK22,sK21)
| id(sK23,sK24) ),
inference(extension,[status(thm),parent(t1:1)],[f_14_3]) ).
cnf(t3,plain,
$false,
inference(connection,[status(thm),parent(t2:1)],[t2:1,t1:1]) ).
cnf(t4,plain,
id(sK22,sK21),
inference(extension,[status(thm),parent(t2:2)],[f_19_12]) ).
cnf(t5,plain,
$false,
inference(connection,[status(thm),parent(t4:1)],[t4:1,t2:2]) ).
cnf(t6,plain,
r2(sK24,sK21),
inference(extension,[status(thm),parent(t2:3)],[f_19_15]) ).
cnf(t7,plain,
$false,
inference(connection,[status(thm),parent(t6:1)],[t6:1,t2:3]) ).
cnf(t8,plain,
r2(sK23,sK22),
inference(extension,[status(thm),parent(t2:4)],[f_19_11]) ).
cnf(t9,plain,
$false,
inference(connection,[status(thm),parent(t8:1)],[t8:1,t2:4]) ).
cnf(t10,plain,
r2(sK25,sK24),
inference(extension,[status(thm),parent(t1:2)],[f_19_14]) ).
cnf(t11,plain,
$false,
inference(connection,[status(thm),parent(t10:1)],[t10:1,t1:2]) ).
cnf(t12,plain,
r1(sK23),
inference(extension,[status(thm),parent(t1:3)],[f_19_10]) ).
cnf(t13,plain,
$false,
inference(connection,[status(thm),parent(t12:1)],[t12:1,t1:3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUN073+1 : TPTP v9.3.1. Released v7.3.0.
% 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
% 0.08/0.35 % Computer : n006.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Sat Sep 19 19:30:10 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.66/0.93 % SZS status Theorem for theBenchmark
% 0.66/0.93 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------