%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : SEU200+1 : 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 : 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 08:58:27 AM UTC 2026
% Result : Theorem 0.15s 5.54s
% Output : Proof 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 4
% Syntax : Number of formulae : 34 ( 12 unt; 0 def)
% Number of atoms : 69 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 63 ( 28 ~; 20 |; 8 &)
% ( 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(t117_relat_1,axiom,
! [A,B] :
( relation(B)
=> subset(relation_rng_restriction(A,B),B) ),
file('theBenchmark.p',t117_relat_1) ).
fof(t118_relat_1,conjecture,
! [A,B] :
( relation(B)
=> subset(relation_rng(relation_rng_restriction(A,B)),relation_rng(B)) ),
file('theBenchmark.p',t118_relat_1) ).
fof(t25_relat_1,axiom,
! [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_7_1,plain,
! [A,B] :
( relation(relation_rng_restriction(A,B))
| ~ relation(B) ),
inference(fof_nnf,[status(thm)],[dt_k8_relat_1]) ).
fof(f_7_2,plain,
! [U_4,U_3] :
( relation(relation_rng_restriction(U_4,U_3))
| ~ relation(U_3) ),
inference(variable_rename,[status(thm)],[f_7_1]) ).
cnf(f_7_3,plain,
( relation(relation_rng_restriction(U_4,U_3))
| ~ relation(U_3) ),
inference(clausify,[status(thm)],[f_7_2]) ).
fof(f_24_1,plain,
! [A,B] :
( subset(relation_rng_restriction(A,B),B)
| ~ relation(B) ),
inference(fof_nnf,[status(thm)],[t117_relat_1]) ).
fof(f_24_2,plain,
! [U_23,U_22] :
( subset(relation_rng_restriction(U_23,U_22),U_22)
| ~ relation(U_22) ),
inference(variable_rename,[status(thm)],[f_24_1]) ).
cnf(f_24_3,plain,
( subset(relation_rng_restriction(U_23,U_22),U_22)
| ~ relation(U_22) ),
inference(clausify,[status(thm)],[f_24_2]) ).
fof(f_25_1,negated_conjecture,
~ ! [A,B] :
( relation(B)
=> subset(relation_rng(relation_rng_restriction(A,B)),relation_rng(B)) ),
inference(negate,[status(cth)],[t118_relat_1]) ).
fof(f_25_2,negated_conjecture,
? [A,B] :
( ~ subset(relation_rng(relation_rng_restriction(A,B)),relation_rng(B))
& relation(B) ),
inference(fof_nnf,[status(thm)],[f_25_1]) ).
fof(f_25_3,negated_conjecture,
? [U_25,U_24] :
( ~ subset(relation_rng(relation_rng_restriction(U_25,U_24)),relation_rng(U_24))
& relation(U_24) ),
inference(variable_rename,[status(thm)],[f_25_2]) ).
fof(f_25_4,negated_conjecture,
? [U_24] :
( ~ subset(relation_rng(relation_rng_restriction(sK8,U_24)),relation_rng(U_24))
& relation(U_24) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK8]),skolemize(U_25,sK8)],[f_25_3]) ).
fof(f_25_5,negated_conjecture,
( ~ subset(relation_rng(relation_rng_restriction(sK8,sK9)),relation_rng(sK9))
& relation(sK9) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK9]),skolemize(U_24,sK9)],[f_25_4]) ).
fof(f_25_6,negated_conjecture,
( ~ subset(relation_rng(relation_rng_restriction(sK8,sK9)),relation_rng(sK9))
& relation(sK9) ),
inference(definitional_conversion,[status(esa)],[f_25_5]) ).
cnf(f_25_7,negated_conjecture,
relation(sK9),
inference(clausify,[status(thm)],[f_25_6]) ).
cnf(f_25_8,negated_conjecture,
~ subset(relation_rng(relation_rng_restriction(sK8,sK9)),relation_rng(sK9)),
inference(clausify,[status(thm)],[f_25_6]) ).
fof(f_27_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_27_2,plain,
! [U_29] :
( ! [U_28] :
( ( subset(relation_rng(U_29),relation_rng(U_28))
& subset(relation_dom(U_29),relation_dom(U_28)) )
| ~ subset(U_29,U_28)
| ~ relation(U_28) )
| ~ relation(U_29) ),
inference(variable_rename,[status(thm)],[f_27_1]) ).
cnf(f_27_4,plain,
( subset(relation_rng(U_29),relation_rng(U_28))
| ~ subset(U_29,U_28)
| ~ relation(U_28)
| ~ relation(U_29) ),
inference(clausify,[status(thm)],[f_27_2]) ).
cnf(t1,plain,
~ subset(relation_rng(relation_rng_restriction(sK8,sK9)),relation_rng(sK9)),
inference(start,[status(thm),parent(0:0)],[f_25_8]) ).
cnf(t2,plain,
( ~ relation(sK9)
| ~ subset(relation_rng_restriction(sK8,sK9),sK9)
| ~ relation(relation_rng_restriction(sK8,sK9))
| subset(relation_rng(relation_rng_restriction(sK8,sK9)),relation_rng(sK9)) ),
inference(extension,[status(thm),parent(t1:1)],[f_27_4]) ).
cnf(t3,plain,
$false,
inference(connection,[status(thm),parent(t2:1)],[t2:1,t1:1]) ).
cnf(t4,plain,
( ~ relation(sK9)
| relation(relation_rng_restriction(sK8,sK9)) ),
inference(extension,[status(thm),parent(t2:2)],[f_7_3]) ).
cnf(t5,plain,
$false,
inference(connection,[status(thm),parent(t4:1)],[t4:1,t2:2]) ).
cnf(t6,plain,
relation(sK9),
inference(extension,[status(thm),parent(t4:2)],[f_25_7]) ).
cnf(t7,plain,
$false,
inference(connection,[status(thm),parent(t6:1)],[t6:1,t4:2]) ).
cnf(t8,plain,
( ~ relation(sK9)
| subset(relation_rng_restriction(sK8,sK9),sK9) ),
inference(extension,[status(thm),parent(t2:3)],[f_24_3]) ).
cnf(t9,plain,
$false,
inference(connection,[status(thm),parent(t8:1)],[t8:1,t2:3]) ).
cnf(t10,plain,
relation(sK9),
inference(extension,[status(thm),parent(t8:2)],[f_25_7]) ).
cnf(t11,plain,
$false,
inference(connection,[status(thm),parent(t10:1)],[t10:1,t8:2]) ).
cnf(t12,plain,
relation(sK9),
inference(extension,[status(thm),parent(t2:4)],[f_25_7]) ).
cnf(t13,plain,
$false,
inference(connection,[status(thm),parent(t12:1)],[t12:1,t2:4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU200+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.03 This is a FOF_THM_RFO_SEQ 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
% 0.11/5.38 % Computer : n002.cluster.edu
% 0.11/5.38 % Model : x86_64 x86_64
% 0.11/5.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/5.38 % Memory : 8046.5625MB
% 0.11/5.38 % OS : Linux 6.8.0-71-generic
% 0.11/5.38 % CPULimit : 300
% 0.11/5.38 % WCLimit : 300
% 0.11/5.38 % DateTime : Sat Sep 19 23:32:31 UTC 2026
% 0.11/5.38 % CPUTime :
% 0.15/5.54 % SZS status Theorem for theBenchmark
% 0.15/5.54 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------