%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : SEU303+3 : TPTP v9.3.1. Released v3.2.0.
% 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 : n002.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 08:58:55 AM UTC 2026
% Result : Theorem 1.52s 2.24s
% Output : Proof 1.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 4
% Syntax : Number of formulae : 34 ( 16 unt; 0 def)
% Number of atoms : 76 ( 7 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 69 ( 27 ~; 20 |; 15 &)
% ( 0 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 1 con; 0-2 aty)
% Number of variables : 18 ( 0 sgn 11 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t146_relat_1,axiom,
! [A] :
( relation(A)
=> relation_image(A,relation_dom(A)) = relation_rng(A) ),
file('theBenchmark.p',t146_relat_1) ).
fof(t17_finset_1,axiom,
! [A,B] :
( ( function(B)
& relation(B) )
=> ( finite(A)
=> finite(relation_image(B,A)) ) ),
file('theBenchmark.p',t17_finset_1) ).
fof(t26_finset_1,conjecture,
! [A] :
( ( function(A)
& relation(A) )
=> ( finite(relation_dom(A))
=> finite(relation_rng(A)) ) ),
file('theBenchmark.p',t26_finset_1) ).
fof(f_53_1,plain,
! [A] :
( relation_image(A,relation_dom(A)) = relation_rng(A)
| ~ relation(A) ),
inference(fof_nnf,[status(thm)],[t146_relat_1]) ).
fof(f_53_2,plain,
! [U_57] :
( relation_image(U_57,relation_dom(U_57)) = relation_rng(U_57)
| ~ relation(U_57) ),
inference(variable_rename,[status(thm)],[f_53_1]) ).
cnf(f_53_3,plain,
( relation_image(U_57,relation_dom(U_57)) = relation_rng(U_57)
| ~ relation(U_57) ),
inference(clausify,[status(thm)],[f_53_2]) ).
fof(f_54_1,plain,
! [A,B] :
( finite(relation_image(B,A))
| ~ finite(A)
| ~ function(B)
| ~ relation(B) ),
inference(fof_nnf,[status(thm)],[t17_finset_1]) ).
fof(f_54_2,plain,
! [U_59,U_58] :
( finite(relation_image(U_58,U_59))
| ~ finite(U_59)
| ~ function(U_58)
| ~ relation(U_58) ),
inference(variable_rename,[status(thm)],[f_54_1]) ).
cnf(f_54_3,plain,
( finite(relation_image(U_58,U_59))
| ~ finite(U_59)
| ~ function(U_58)
| ~ relation(U_58) ),
inference(clausify,[status(thm)],[f_54_2]) ).
fof(f_56_1,negated_conjecture,
~ ! [A] :
( ( function(A)
& relation(A) )
=> ( finite(relation_dom(A))
=> finite(relation_rng(A)) ) ),
inference(negate,[status(cth)],[t26_finset_1]) ).
fof(f_56_2,negated_conjecture,
? [A] :
( ~ finite(relation_rng(A))
& finite(relation_dom(A))
& function(A)
& relation(A) ),
inference(fof_nnf,[status(thm)],[f_56_1]) ).
fof(f_56_3,negated_conjecture,
? [U_62] :
( ~ finite(relation_rng(U_62))
& finite(relation_dom(U_62))
& function(U_62)
& relation(U_62) ),
inference(variable_rename,[status(thm)],[f_56_2]) ).
fof(f_56_4,negated_conjecture,
( ~ finite(relation_rng(sK27))
& finite(relation_dom(sK27))
& function(sK27)
& relation(sK27) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK27]),skolemize(U_62,sK27)],[f_56_3]) ).
fof(f_56_5,negated_conjecture,
( ~ finite(relation_rng(sK27))
& finite(relation_dom(sK27))
& function(sK27)
& relation(sK27) ),
inference(definitional_conversion,[status(esa)],[f_56_4]) ).
cnf(f_56_6,negated_conjecture,
relation(sK27),
inference(clausify,[status(thm)],[f_56_5]) ).
cnf(f_56_7,negated_conjecture,
function(sK27),
inference(clausify,[status(thm)],[f_56_5]) ).
cnf(f_56_8,negated_conjecture,
finite(relation_dom(sK27)),
inference(clausify,[status(thm)],[f_56_5]) ).
cnf(f_56_9,negated_conjecture,
~ finite(relation_rng(sK27)),
inference(clausify,[status(thm)],[f_56_5]) ).
cnf(equality_19,axiom,
( finite(Eq_y_0)
| ~ finite(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(t1,plain,
~ finite(relation_rng(sK27)),
inference(start,[status(thm),parent(0:0)],[f_56_9]) ).
cnf(t2,plain,
( ~ finite(relation_image(sK27,relation_dom(sK27)))
| relation_image(sK27,relation_dom(sK27)) != relation_rng(sK27)
| finite(relation_rng(sK27)) ),
inference(extension,[status(thm),parent(t1:1)],[equality_19]) ).
cnf(t3,plain,
$false,
inference(connection,[status(thm),parent(t2:1)],[t2:1,t1:1]) ).
cnf(t4,plain,
( ~ relation(sK27)
| relation_image(sK27,relation_dom(sK27)) = relation_rng(sK27) ),
inference(extension,[status(thm),parent(t2:2)],[f_53_3]) ).
cnf(t5,plain,
$false,
inference(connection,[status(thm),parent(t4:1)],[t4:1,t2:2]) ).
cnf(t6,plain,
relation(sK27),
inference(extension,[status(thm),parent(t4:2)],[f_56_6]) ).
cnf(t7,plain,
$false,
inference(connection,[status(thm),parent(t6:1)],[t6:1,t4:2]) ).
cnf(t8,plain,
( ~ function(sK27)
| ~ finite(relation_dom(sK27))
| ~ relation(sK27)
| finite(relation_image(sK27,relation_dom(sK27))) ),
inference(extension,[status(thm),parent(t2:3)],[f_54_3]) ).
cnf(t9,plain,
$false,
inference(connection,[status(thm),parent(t8:1)],[t8:1,t2:3]) ).
cnf(t10,plain,
relation(sK27),
inference(extension,[status(thm),parent(t8:2)],[f_56_6]) ).
cnf(t11,plain,
$false,
inference(connection,[status(thm),parent(t10:1)],[t10:1,t8:2]) ).
cnf(t12,plain,
finite(relation_dom(sK27)),
inference(extension,[status(thm),parent(t8:3)],[f_56_8]) ).
cnf(t13,plain,
$false,
inference(connection,[status(thm),parent(t12:1)],[t12:1,t8:3]) ).
cnf(t14,plain,
function(sK27),
inference(extension,[status(thm),parent(t8:4)],[f_56_7]) ).
cnf(t15,plain,
$false,
inference(connection,[status(thm),parent(t14:1)],[t14:1,t8:4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU303+3 : 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/sandbox2/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.79 % Computer : n002.cluster.edu
% 0.08/0.79 % Model : x86_64 x86_64
% 0.08/0.79 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.79 % Memory : 8046.5625MB
% 0.08/0.79 % OS : Linux 6.8.0-71-generic
% 0.08/0.79 % CPULimit : 300
% 0.08/0.79 % WCLimit : 300
% 0.08/0.79 % DateTime : Sat Sep 19 23:54:05 UTC 2026
% 0.08/0.79 % CPUTime :
% 1.52/2.24 % SZS status Theorem for theBenchmark
% 1.52/2.24 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------