%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : MGT077+1 : TPTP v9.3.1. Bugfixed v9.3.1.
% 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 : n007.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 08:50:49 AM UTC 2026
% Result : Theorem 120.44s 120.76s
% Output : Proof 120.44s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 7
% Syntax : Number of formulae : 45 ( 30 unt; 0 def)
% Number of atoms : 92 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 87 ( 40 ~; 33 |; 13 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 32 ( 0 sgn 23 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(in_open,axiom,
! [X,A,B] :
( in_open(X,A,B)
<=> ( less(X,B)
& less(A,X) ) ),
file('MGT002+2.ax',in_open) ).
fof(ord_v0_v200,axiom,
less(v0,v200),
file('theBenchmark.p',ord_v0_v200) ).
fof(ord_v0_v500,axiom,
less(v0,v500),
file('theBenchmark.p',ord_v0_v500) ).
fof(ord_v100_v200,axiom,
less(v100,v200),
file('theBenchmark.p',ord_v100_v200) ).
fof(ord_v200_v500,axiom,
less(v200,v500),
file('theBenchmark.p',ord_v200_v500) ).
fof(ord_v500_v800,axiom,
less(v500,v800),
file('theBenchmark.p',ord_v500_v800) ).
fof(odrl327,conjecture,
? [X,Y] :
( in_open(Y,v0,v500)
& less(v100,Y)
& in_open(X,v0,v800)
& less(v200,X) ),
file('theBenchmark.p',odrl327) ).
fof(f_14_1,plain,
! [X,A,B] :
( ( in_open(X,A,B)
| ~ less(X,B)
| ~ less(A,X) )
& ( ( less(X,B)
& less(A,X) )
| ~ in_open(X,A,B) ) ),
inference(fof_nnf,[status(thm)],[in_open]) ).
fof(f_14_2,plain,
! [U_57,U_56,U_55] :
( ( in_open(U_57,U_56,U_55)
| ~ less(U_57,U_55)
| ~ less(U_56,U_57) )
& ( ( less(U_57,U_55)
& less(U_56,U_57) )
| ~ in_open(U_57,U_56,U_55) ) ),
inference(variable_rename,[status(thm)],[f_14_1]) ).
fof(f_14_3,plain,
( ! [U_63,U_61,U_59] :
( in_open(U_63,U_61,U_59)
| ~ less(U_63,U_59)
| ~ less(U_61,U_63) )
& ! [U_62,U_60,U_58] :
( ( less(U_62,U_58)
& less(U_60,U_62) )
| ~ in_open(U_62,U_60,U_58) ) ),
inference(miniscope,[status(thm)],[f_14_2]) ).
cnf(f_14_6,plain,
( in_open(U_63,U_61,U_59)
| ~ less(U_63,U_59)
| ~ less(U_61,U_63) ),
inference(clausify,[status(thm)],[f_14_3]) ).
fof(f_35_1,plain,
less(v0,v200),
inference(fof_nnf,[status(thm)],[ord_v0_v200]) ).
cnf(f_35_2,plain,
less(v0,v200),
inference(clausify,[status(thm)],[f_35_1]) ).
fof(f_36_1,plain,
less(v0,v500),
inference(fof_nnf,[status(thm)],[ord_v0_v500]) ).
cnf(f_36_2,plain,
less(v0,v500),
inference(clausify,[status(thm)],[f_36_1]) ).
fof(f_38_1,plain,
less(v100,v200),
inference(fof_nnf,[status(thm)],[ord_v100_v200]) ).
cnf(f_38_2,plain,
less(v100,v200),
inference(clausify,[status(thm)],[f_38_1]) ).
fof(f_41_1,plain,
less(v200,v500),
inference(fof_nnf,[status(thm)],[ord_v200_v500]) ).
cnf(f_41_2,plain,
less(v200,v500),
inference(clausify,[status(thm)],[f_41_1]) ).
fof(f_43_1,plain,
less(v500,v800),
inference(fof_nnf,[status(thm)],[ord_v500_v800]) ).
cnf(f_43_2,plain,
less(v500,v800),
inference(clausify,[status(thm)],[f_43_1]) ).
fof(f_45_1,negated_conjecture,
~ ? [X,Y] :
( in_open(Y,v0,v500)
& less(v100,Y)
& in_open(X,v0,v800)
& less(v200,X) ),
inference(negate,[status(cth)],[odrl327]) ).
fof(f_45_2,negated_conjecture,
! [X,Y] :
( ~ in_open(Y,v0,v500)
| ~ less(v100,Y)
| ~ in_open(X,v0,v800)
| ~ less(v200,X) ),
inference(fof_nnf,[status(thm)],[f_45_1]) ).
fof(f_45_3,negated_conjecture,
! [U_116,U_115] :
( ~ in_open(U_115,v0,v500)
| ~ less(v100,U_115)
| ~ in_open(U_116,v0,v800)
| ~ less(v200,U_116) ),
inference(variable_rename,[status(thm)],[f_45_2]) ).
fof(f_45_4,negated_conjecture,
( ! [U_116] :
( ~ in_open(U_116,v0,v800)
| ~ less(v200,U_116) )
| ! [U_115] :
( ~ in_open(U_115,v0,v500)
| ~ less(v100,U_115) ) ),
inference(miniscope,[status(thm)],[f_45_3]) ).
fof(f_45_5,negated_conjecture,
! [U_115,U_116] :
( ~ in_open(U_116,v0,v800)
| ~ less(v200,U_116)
| ~ in_open(U_115,v0,v500)
| ~ less(v100,U_115) ),
inference(definitional_conversion,[status(esa)],[f_45_4]) ).
cnf(f_45_6,negated_conjecture,
( ~ in_open(U_116,v0,v800)
| ~ less(v200,U_116)
| ~ in_open(U_115,v0,v500)
| ~ less(v100,U_115) ),
inference(clausify,[status(thm)],[f_45_5]) ).
cnf(t1,plain,
( ~ in_open(v200,v0,v500)
| ~ less(v200,v500)
| ~ in_open(v500,v0,v800)
| ~ less(v100,v200) ),
inference(start,[status(thm),parent(0:0)],[f_45_6]) ).
cnf(t2,plain,
less(v100,v200),
inference(extension,[status(thm),parent(t1:1)],[f_38_2]) ).
cnf(t3,plain,
$false,
inference(connection,[status(thm),parent(t2:1)],[t2:1,t1:1]) ).
cnf(t4,plain,
( ~ less(v500,v800)
| ~ less(v0,v500)
| in_open(v500,v0,v800) ),
inference(extension,[status(thm),parent(t1:2)],[f_14_6]) ).
cnf(t5,plain,
$false,
inference(connection,[status(thm),parent(t4:1)],[t4:1,t1:2]) ).
cnf(t6,plain,
less(v0,v500),
inference(extension,[status(thm),parent(t4:2)],[f_36_2]) ).
cnf(t7,plain,
$false,
inference(connection,[status(thm),parent(t6:1)],[t6:1,t4:2]) ).
cnf(t8,plain,
less(v500,v800),
inference(extension,[status(thm),parent(t4:3)],[f_43_2]) ).
cnf(t9,plain,
$false,
inference(connection,[status(thm),parent(t8:1)],[t8:1,t4:3]) ).
cnf(t10,plain,
less(v200,v500),
inference(extension,[status(thm),parent(t1:3)],[f_41_2]) ).
cnf(t11,plain,
$false,
inference(connection,[status(thm),parent(t10:1)],[t10:1,t1:3]) ).
cnf(l5,lemma,
less(v200,v500),
inference(lemma,[status(cth),parent(t1:3),below(0:0)],[t1:3]) ).
cnf(t12,plain,
( ~ less(v200,v500)
| ~ less(v0,v200)
| in_open(v200,v0,v500) ),
inference(extension,[status(thm),parent(t1:4)],[f_14_6]) ).
cnf(t13,plain,
$false,
inference(connection,[status(thm),parent(t12:1)],[t12:1,t1:4]) ).
cnf(t14,plain,
less(v0,v200),
inference(extension,[status(thm),parent(t12:2)],[f_35_2]) ).
cnf(t15,plain,
$false,
inference(connection,[status(thm),parent(t14:1)],[t14:1,t12:2]) ).
cnf(t16,plain,
less(v200,v500),
inference(lemma_extension,[status(thm),parent(t12:3)],[l5:1]) ).
cnf(t17,plain,
$false,
inference(connection,[status(thm),parent(t16:1)],[t16:1,t12:3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT077+1 : TPTP v9.3.1. Bugfixed v9.3.1.
% 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
% 0.11/0.36 % Computer : n007.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sat Sep 19 16:17:35 UTC 2026
% 0.11/0.37 % CPUTime :
% 120.44/120.76 % SZS status Theorem for theBenchmark
% 120.44/120.76 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------