%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : SEU040+1 : 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 : 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 08:57:58 AM UTC 2026
% Result : Theorem 0.02s 0.44s
% Output : Proof 0.02s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 3
% Syntax : Number of formulae : 26 ( 7 unt; 0 def)
% Number of atoms : 59 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 56 ( 23 ~; 15 |; 14 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 25 ( 2 sgn 16 !; 5 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t76_funct_1,conjecture,
! [A,B] :
( ( function(B)
& relation(B) )
=> ( subset(relation_rng(relation_dom_restriction(B,A)),relation_rng(B))
& subset(relation_dom(relation_dom_restriction(B,A)),relation_dom(B)) ) ),
file('theBenchmark.p',t76_funct_1) ).
fof(t89_relat_1,axiom,
! [A,B] :
( relation(B)
=> subset(relation_dom(relation_dom_restriction(B,A)),relation_dom(B)) ),
file('theBenchmark.p',t89_relat_1) ).
fof(t99_relat_1,axiom,
! [A,B] :
( relation(B)
=> subset(relation_rng(relation_dom_restriction(B,A)),relation_rng(B)) ),
file('theBenchmark.p',t99_relat_1) ).
fof(f_36_1,negated_conjecture,
~ ! [A,B] :
( ( function(B)
& relation(B) )
=> ( subset(relation_rng(relation_dom_restriction(B,A)),relation_rng(B))
& subset(relation_dom(relation_dom_restriction(B,A)),relation_dom(B)) ) ),
inference(negate,[status(cth)],[t76_funct_1]) ).
fof(f_36_2,negated_conjecture,
? [A,B] :
( ( ~ subset(relation_rng(relation_dom_restriction(B,A)),relation_rng(B))
| ~ subset(relation_dom(relation_dom_restriction(B,A)),relation_dom(B)) )
& function(B)
& relation(B) ),
inference(fof_nnf,[status(thm)],[f_36_1]) ).
fof(f_36_3,negated_conjecture,
? [U_58,U_57] :
( ( ~ subset(relation_rng(relation_dom_restriction(U_57,U_58)),relation_rng(U_57))
| ~ subset(relation_dom(relation_dom_restriction(U_57,U_58)),relation_dom(U_57)) )
& function(U_57)
& relation(U_57) ),
inference(variable_rename,[status(thm)],[f_36_2]) ).
fof(f_36_4,negated_conjecture,
? [U_57] :
( ( ~ subset(relation_rng(relation_dom_restriction(U_57,sK12)),relation_rng(U_57))
| ~ subset(relation_dom(relation_dom_restriction(U_57,sK12)),relation_dom(U_57)) )
& function(U_57)
& relation(U_57) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK12]),skolemize(U_58,sK12)],[f_36_3]) ).
fof(f_36_5,negated_conjecture,
( ( ~ subset(relation_rng(relation_dom_restriction(sK13,sK12)),relation_rng(sK13))
| ~ subset(relation_dom(relation_dom_restriction(sK13,sK12)),relation_dom(sK13)) )
& function(sK13)
& relation(sK13) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK13]),skolemize(U_57,sK13)],[f_36_4]) ).
fof(f_36_6,negated_conjecture,
( ( ~ subset(relation_rng(relation_dom_restriction(sK13,sK12)),relation_rng(sK13))
| ~ subset(relation_dom(relation_dom_restriction(sK13,sK12)),relation_dom(sK13)) )
& function(sK13)
& relation(sK13) ),
inference(definitional_conversion,[status(esa)],[f_36_5]) ).
cnf(f_36_7,negated_conjecture,
relation(sK13),
inference(clausify,[status(thm)],[f_36_6]) ).
cnf(f_36_9,negated_conjecture,
( ~ subset(relation_rng(relation_dom_restriction(sK13,sK12)),relation_rng(sK13))
| ~ subset(relation_dom(relation_dom_restriction(sK13,sK12)),relation_dom(sK13)) ),
inference(clausify,[status(thm)],[f_36_6]) ).
fof(f_37_1,plain,
! [A,B] :
( subset(relation_dom(relation_dom_restriction(B,A)),relation_dom(B))
| ~ relation(B) ),
inference(fof_nnf,[status(thm)],[t89_relat_1]) ).
fof(f_37_2,plain,
! [U_60,U_59] :
( subset(relation_dom(relation_dom_restriction(U_59,U_60)),relation_dom(U_59))
| ~ relation(U_59) ),
inference(variable_rename,[status(thm)],[f_37_1]) ).
cnf(f_37_3,plain,
( subset(relation_dom(relation_dom_restriction(U_59,U_60)),relation_dom(U_59))
| ~ relation(U_59) ),
inference(clausify,[status(thm)],[f_37_2]) ).
fof(f_38_1,plain,
! [A,B] :
( subset(relation_rng(relation_dom_restriction(B,A)),relation_rng(B))
| ~ relation(B) ),
inference(fof_nnf,[status(thm)],[t99_relat_1]) ).
fof(f_38_2,plain,
! [U_62,U_61] :
( subset(relation_rng(relation_dom_restriction(U_61,U_62)),relation_rng(U_61))
| ~ relation(U_61) ),
inference(variable_rename,[status(thm)],[f_38_1]) ).
cnf(f_38_3,plain,
( subset(relation_rng(relation_dom_restriction(U_61,U_62)),relation_rng(U_61))
| ~ relation(U_61) ),
inference(clausify,[status(thm)],[f_38_2]) ).
cnf(t1,plain,
( ~ subset(relation_rng(relation_dom_restriction(sK13,sK12)),relation_rng(sK13))
| ~ subset(relation_dom(relation_dom_restriction(sK13,sK12)),relation_dom(sK13)) ),
inference(start,[status(thm),parent(0:0)],[f_36_9]) ).
cnf(t2,plain,
( ~ relation(sK13)
| subset(relation_dom(relation_dom_restriction(sK13,sK12)),relation_dom(sK13)) ),
inference(extension,[status(thm),parent(t1:1)],[f_37_3]) ).
cnf(t3,plain,
$false,
inference(connection,[status(thm),parent(t2:1)],[t2:1,t1:1]) ).
cnf(t4,plain,
relation(sK13),
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,
( ~ relation(sK13)
| subset(relation_rng(relation_dom_restriction(sK13,sK12)),relation_rng(sK13)) ),
inference(extension,[status(thm),parent(t1:2)],[f_38_3]) ).
cnf(t7,plain,
$false,
inference(connection,[status(thm),parent(t6:1)],[t6:1,t1:2]) ).
cnf(t8,plain,
relation(sK13),
inference(extension,[status(thm),parent(t6:2)],[f_36_7]) ).
cnf(t9,plain,
$false,
inference(connection,[status(thm),parent(t8:1)],[t8:1,t6:2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU040+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/sandbox2/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.36 % Computer : n018.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.02/0.36 % CPULimit : 300
% 0.02/0.36 % WCLimit : 300
% 0.02/0.36 % DateTime : Sat Sep 19 23:15:56 UTC 2026
% 0.02/0.36 % CPUTime :
% 0.02/0.44 % SZS status Theorem for theBenchmark
% 0.02/0.44 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------