%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : SEU248+2 : TPTP v9.3.1. Released v3.3.0.
% 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 : n018.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 08:58:42 AM UTC 2026
% Result : Theorem 94.24s 94.51s
% Output : Proof 94.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 4
% Syntax : Number of formulae : 33 ( 12 unt; 0 def)
% Number of atoms : 67 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 61 ( 27 ~; 20 |; 7 &)
% ( 0 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 33 ( 2 sgn 22 !; 5 ?)
% Comments :
%------------------------------------------------------------------------------
fof(dt_k8_relat_1,axiom,
! [A,B] :
( relation(B)
=> relation(relation_rng_restriction(A,B)) ),
file('theBenchmark.p',dt_k8_relat_1) ).
fof(l29_wellord1,conjecture,
! [A,B] :
( relation(B)
=> subset(relation_dom(relation_rng_restriction(A,B)),relation_dom(B)) ),
file('theBenchmark.p',l29_wellord1) ).
fof(t117_relat_1,lemma,
! [A,B] :
( relation(B)
=> subset(relation_rng_restriction(A,B),B) ),
file('theBenchmark.p',t117_relat_1) ).
fof(t25_relat_1,lemma,
! [A] :
( relation(A)
=> ! [B] :
( relation(B)
=> ( subset(A,B)
=> ( subset(relation_rng(A),relation_rng(B))
& subset(relation_dom(A),relation_dom(B)) ) ) ) ),
file('theBenchmark.p',t25_relat_1) ).
fof(f_101_1,plain,
! [A,B] :
( relation(relation_rng_restriction(A,B))
| ~ relation(B) ),
inference(fof_nnf,[status(thm)],[dt_k8_relat_1]) ).
fof(f_101_2,plain,
! [U_557,U_556] :
( relation(relation_rng_restriction(U_557,U_556))
| ~ relation(U_556) ),
inference(variable_rename,[status(thm)],[f_101_1]) ).
cnf(f_101_3,plain,
( relation(relation_rng_restriction(U_557,U_556))
| ~ relation(U_556) ),
inference(clausify,[status(thm)],[f_101_2]) ).
fof(f_146_1,negated_conjecture,
~ ! [A,B] :
( relation(B)
=> subset(relation_dom(relation_rng_restriction(A,B)),relation_dom(B)) ),
inference(negate,[status(cth)],[l29_wellord1]) ).
fof(f_146_2,negated_conjecture,
? [A,B] :
( ~ subset(relation_dom(relation_rng_restriction(A,B)),relation_dom(B))
& relation(B) ),
inference(fof_nnf,[status(thm)],[f_146_1]) ).
fof(f_146_3,negated_conjecture,
? [U_628,U_627] :
( ~ subset(relation_dom(relation_rng_restriction(U_628,U_627)),relation_dom(U_627))
& relation(U_627) ),
inference(variable_rename,[status(thm)],[f_146_2]) ).
fof(f_146_4,negated_conjecture,
? [U_627] :
( ~ subset(relation_dom(relation_rng_restriction(sK108,U_627)),relation_dom(U_627))
& relation(U_627) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK108]),skolemize(U_628,sK108)],[f_146_3]) ).
fof(f_146_5,negated_conjecture,
( ~ subset(relation_dom(relation_rng_restriction(sK108,sK109)),relation_dom(sK109))
& relation(sK109) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK109]),skolemize(U_627,sK109)],[f_146_4]) ).
cnf(f_146_6,negated_conjecture,
relation(sK109),
inference(clausify,[status(thm)],[f_146_5]) ).
cnf(f_146_7,negated_conjecture,
~ subset(relation_dom(relation_rng_restriction(sK108,sK109)),relation_dom(sK109)),
inference(clausify,[status(thm)],[f_146_5]) ).
fof(f_185_1,plain,
! [A,B] :
( subset(relation_rng_restriction(A,B),B)
| ~ relation(B) ),
inference(fof_nnf,[status(thm)],[t117_relat_1]) ).
fof(f_185_2,plain,
! [U_744,U_743] :
( subset(relation_rng_restriction(U_744,U_743),U_743)
| ~ relation(U_743) ),
inference(variable_rename,[status(thm)],[f_185_1]) ).
cnf(f_185_3,plain,
( subset(relation_rng_restriction(U_744,U_743),U_743)
| ~ relation(U_743) ),
inference(clausify,[status(thm)],[f_185_2]) ).
fof(f_222_1,plain,
! [A] :
( ! [B] :
( ( subset(relation_rng(A),relation_rng(B))
& subset(relation_dom(A),relation_dom(B)) )
| ~ subset(A,B)
| ~ relation(B) )
| ~ relation(A) ),
inference(fof_nnf,[status(thm)],[t25_relat_1]) ).
fof(f_222_2,plain,
! [U_837] :
( ! [U_836] :
( ( subset(relation_rng(U_837),relation_rng(U_836))
& subset(relation_dom(U_837),relation_dom(U_836)) )
| ~ subset(U_837,U_836)
| ~ relation(U_836) )
| ~ relation(U_837) ),
inference(variable_rename,[status(thm)],[f_222_1]) ).
cnf(f_222_3,plain,
( subset(relation_dom(U_837),relation_dom(U_836))
| ~ subset(U_837,U_836)
| ~ relation(U_836)
| ~ relation(U_837) ),
inference(clausify,[status(thm)],[f_222_2]) ).
cnf(t1,plain,
~ subset(relation_dom(relation_rng_restriction(sK108,sK109)),relation_dom(sK109)),
inference(start,[status(thm),parent(0:0)],[f_146_7]) ).
cnf(t2,plain,
( ~ relation(sK109)
| ~ subset(relation_rng_restriction(sK108,sK109),sK109)
| ~ relation(relation_rng_restriction(sK108,sK109))
| subset(relation_dom(relation_rng_restriction(sK108,sK109)),relation_dom(sK109)) ),
inference(extension,[status(thm),parent(t1:1)],[f_222_3]) ).
cnf(t3,plain,
$false,
inference(connection,[status(thm),parent(t2:1)],[t2:1,t1:1]) ).
cnf(t4,plain,
( ~ relation(sK109)
| relation(relation_rng_restriction(sK108,sK109)) ),
inference(extension,[status(thm),parent(t2:2)],[f_101_3]) ).
cnf(t5,plain,
$false,
inference(connection,[status(thm),parent(t4:1)],[t4:1,t2:2]) ).
cnf(t6,plain,
relation(sK109),
inference(extension,[status(thm),parent(t4:2)],[f_146_6]) ).
cnf(t7,plain,
$false,
inference(connection,[status(thm),parent(t6:1)],[t6:1,t4:2]) ).
cnf(t8,plain,
( ~ relation(sK109)
| subset(relation_rng_restriction(sK108,sK109),sK109) ),
inference(extension,[status(thm),parent(t2:3)],[f_185_3]) ).
cnf(t9,plain,
$false,
inference(connection,[status(thm),parent(t8:1)],[t8:1,t2:3]) ).
cnf(t10,plain,
relation(sK109),
inference(extension,[status(thm),parent(t8:2)],[f_146_6]) ).
cnf(t11,plain,
$false,
inference(connection,[status(thm),parent(t10:1)],[t10:1,t8:2]) ).
cnf(t12,plain,
relation(sK109),
inference(extension,[status(thm),parent(t2:4)],[f_146_6]) ).
cnf(t13,plain,
$false,
inference(connection,[status(thm),parent(t12:1)],[t12:1,t2:4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEU248+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.03 This is a FOF_THM_RFO_SEQ problem
% 0.00/0.03 % 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 : n018.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 23:42:56 UTC 2026
% 0.08/0.35 % CPUTime :
% 94.24/94.51 % SZS status Theorem for theBenchmark
% 94.24/94.51 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------