%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : MGT091+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 : n026.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 08:50:51 AM UTC 2026
% Result : Theorem 75.78s 76.04s
% Output : Proof 75.78s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 10
% Syntax : Number of formulae : 66 ( 33 unt; 0 def)
% Number of atoms : 162 ( 11 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 160 ( 64 ~; 62 |; 29 &)
% ( 4 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-8 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-4 aty)
% Number of variables : 128 ( 0 sgn 103 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(leq_def,axiom,
! [X,Y] :
( leq(X,Y)
<=> ( X = Y
| less(X,Y) ) ),
file('MGT002+0.ax',leq_def) ).
fof(less_implies_leq,axiom,
! [X,Y] :
( less(X,Y)
=> leq(X,Y) ),
file('MGT002+0.ax',less_implies_leq) ).
fof(axis_compatible_def,axiom,
! [I1lo,I1hi,I2lo,I2hi] :
( axis_compatible(I1lo,I1hi,I2lo,I2hi)
<=> ? [X] :
( in_closed(X,I2lo,I2hi)
& in_closed(X,I1lo,I1hi) ) ),
file('MGT002+2.ax',axis_compatible_def) ).
fof(box2_overlap,axiom,
! [A1,B1,A2,B2,C1,D1,C2,D2] :
( box2_compatible(A1,B1,A2,B2,C1,D1,C2,D2)
<=> ( axis_compatible(A2,B2,C2,D2)
& axis_compatible(A1,B1,C1,D1) ) ),
file('MGT002+6.ax',box2_overlap) ).
fof(shape_closed,axiom,
! [X,A,B] :
( in_closed(X,A,B)
<=> ( leq(X,B)
& leq(A,X) ) ),
file('MGT002+6.ax',shape_closed) ).
fof(ord_v0_v600,axiom,
less(v0,v600),
file('theBenchmark.p',ord_v0_v600) ).
fof(ord_v400_v600,axiom,
less(v400,v600),
file('theBenchmark.p',ord_v400_v600) ).
fof(ord_v600_v800,axiom,
less(v600,v800),
file('theBenchmark.p',ord_v600_v800) ).
fof(odrl624,conjecture,
box2_compatible(v0,v600,v0,v600,v400,v800,v400,v800),
file('theBenchmark.p',odrl624) ).
fof(f_4_1,plain,
! [X,Y] :
( ( leq(X,Y)
| ( X != Y
& ~ less(X,Y) ) )
& ( X = Y
| less(X,Y)
| ~ leq(X,Y) ) ),
inference(fof_nnf,[status(thm)],[leq_def]) ).
fof(f_4_2,plain,
! [U_7,U_6] :
( ( leq(U_7,U_6)
| ( U_7 != U_6
& ~ less(U_7,U_6) ) )
& ( U_7 = U_6
| less(U_7,U_6)
| ~ leq(U_7,U_6) ) ),
inference(variable_rename,[status(thm)],[f_4_1]) ).
fof(f_4_3,plain,
( ! [U_11,U_9] :
( leq(U_11,U_9)
| ( U_11 != U_9
& ~ less(U_11,U_9) ) )
& ! [U_10,U_8] :
( U_10 = U_8
| less(U_10,U_8)
| ~ leq(U_10,U_8) ) ),
inference(miniscope,[status(thm)],[f_4_2]) ).
cnf(f_4_6,plain,
( U_11 != U_9
| leq(U_11,U_9) ),
inference(clausify,[status(thm)],[f_4_3]) ).
fof(f_6_1,plain,
! [X,Y] :
( leq(X,Y)
| ~ less(X,Y) ),
inference(fof_nnf,[status(thm)],[less_implies_leq]) ).
fof(f_6_2,plain,
! [U_15,U_14] :
( leq(U_15,U_14)
| ~ less(U_15,U_14) ),
inference(variable_rename,[status(thm)],[f_6_1]) ).
cnf(f_6_3,plain,
( leq(U_15,U_14)
| ~ less(U_15,U_14) ),
inference(clausify,[status(thm)],[f_6_2]) ).
fof(f_15_1,plain,
! [I1lo,I1hi,I2lo,I2hi] :
( ( axis_compatible(I1lo,I1hi,I2lo,I2hi)
| ! [X] :
( ~ in_closed(X,I2lo,I2hi)
| ~ in_closed(X,I1lo,I1hi) ) )
& ( ? [X] :
( in_closed(X,I2lo,I2hi)
& in_closed(X,I1lo,I1hi) )
| ~ axis_compatible(I1lo,I1hi,I2lo,I2hi) ) ),
inference(fof_nnf,[status(thm)],[axis_compatible_def]) ).
fof(f_15_2,plain,
! [U_80,U_79,U_78,U_77] :
( ( axis_compatible(U_80,U_79,U_78,U_77)
| ! [U_76] :
( ~ in_closed(U_76,U_78,U_77)
| ~ in_closed(U_76,U_80,U_79) ) )
& ( ? [U_75] :
( in_closed(U_75,U_78,U_77)
& in_closed(U_75,U_80,U_79) )
| ~ axis_compatible(U_80,U_79,U_78,U_77) ) ),
inference(variable_rename,[status(thm)],[f_15_1]) ).
fof(f_15_3,plain,
( ! [U_88,U_86,U_84,U_82] :
( axis_compatible(U_88,U_86,U_84,U_82)
| ! [U_76] :
( ~ in_closed(U_76,U_84,U_82)
| ~ in_closed(U_76,U_88,U_86) ) )
& ! [U_87,U_85,U_83,U_81] :
( ? [U_75] :
( in_closed(U_75,U_83,U_81)
& in_closed(U_75,U_87,U_85) )
| ~ axis_compatible(U_87,U_85,U_83,U_81) ) ),
inference(miniscope,[status(thm)],[f_15_2]) ).
fof(f_15_4,plain,
( ! [U_88,U_86,U_84,U_82] :
( axis_compatible(U_88,U_86,U_84,U_82)
| ! [U_76] :
( ~ in_closed(U_76,U_84,U_82)
| ~ in_closed(U_76,U_88,U_86) ) )
& ! [U_87,U_85,U_83,U_81] :
( ( in_closed(sK2(U_87,U_85,U_83,U_81),U_83,U_81)
& in_closed(sK2(U_87,U_85,U_83,U_81),U_87,U_85) )
| ~ axis_compatible(U_87,U_85,U_83,U_81) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(U_75,sK2(U_87,U_85,U_83,U_81))],[f_15_3]) ).
cnf(f_15_7,plain,
( axis_compatible(U_88,U_86,U_84,U_82)
| ~ in_closed(U_76,U_84,U_82)
| ~ in_closed(U_76,U_88,U_86) ),
inference(clausify,[status(thm)],[f_15_4]) ).
fof(f_30_1,plain,
! [A1,B1,A2,B2,C1,D1,C2,D2] :
( ( box2_compatible(A1,B1,A2,B2,C1,D1,C2,D2)
| ~ axis_compatible(A2,B2,C2,D2)
| ~ axis_compatible(A1,B1,C1,D1) )
& ( ( axis_compatible(A2,B2,C2,D2)
& axis_compatible(A1,B1,C1,D1) )
| ~ box2_compatible(A1,B1,A2,B2,C1,D1,C2,D2) ) ),
inference(fof_nnf,[status(thm)],[box2_overlap]) ).
fof(f_30_2,plain,
! [U_164,U_163,U_162,U_161,U_160,U_159,U_158,U_157] :
( ( box2_compatible(U_164,U_163,U_162,U_161,U_160,U_159,U_158,U_157)
| ~ axis_compatible(U_162,U_161,U_158,U_157)
| ~ axis_compatible(U_164,U_163,U_160,U_159) )
& ( ( axis_compatible(U_162,U_161,U_158,U_157)
& axis_compatible(U_164,U_163,U_160,U_159) )
| ~ box2_compatible(U_164,U_163,U_162,U_161,U_160,U_159,U_158,U_157) ) ),
inference(variable_rename,[status(thm)],[f_30_1]) ).
fof(f_30_3,plain,
( ! [U_180,U_178,U_176,U_174,U_172,U_170,U_168,U_166] :
( box2_compatible(U_180,U_178,U_176,U_174,U_172,U_170,U_168,U_166)
| ~ axis_compatible(U_176,U_174,U_168,U_166)
| ~ axis_compatible(U_180,U_178,U_172,U_170) )
& ! [U_179,U_177,U_175,U_173,U_171,U_169,U_167,U_165] :
( ( axis_compatible(U_175,U_173,U_167,U_165)
& axis_compatible(U_179,U_177,U_171,U_169) )
| ~ box2_compatible(U_179,U_177,U_175,U_173,U_171,U_169,U_167,U_165) ) ),
inference(miniscope,[status(thm)],[f_30_2]) ).
cnf(f_30_6,plain,
( box2_compatible(U_180,U_178,U_176,U_174,U_172,U_170,U_168,U_166)
| ~ axis_compatible(U_176,U_174,U_168,U_166)
| ~ axis_compatible(U_180,U_178,U_172,U_170) ),
inference(clausify,[status(thm)],[f_30_3]) ).
fof(f_33_1,plain,
! [X,A,B] :
( ( in_closed(X,A,B)
| ~ leq(X,B)
| ~ leq(A,X) )
& ( ( leq(X,B)
& leq(A,X) )
| ~ in_closed(X,A,B) ) ),
inference(fof_nnf,[status(thm)],[shape_closed]) ).
fof(f_33_2,plain,
! [U_213,U_212,U_211] :
( ( in_closed(U_213,U_212,U_211)
| ~ leq(U_213,U_211)
| ~ leq(U_212,U_213) )
& ( ( leq(U_213,U_211)
& leq(U_212,U_213) )
| ~ in_closed(U_213,U_212,U_211) ) ),
inference(variable_rename,[status(thm)],[f_33_1]) ).
fof(f_33_3,plain,
( ! [U_219,U_217,U_215] :
( in_closed(U_219,U_217,U_215)
| ~ leq(U_219,U_215)
| ~ leq(U_217,U_219) )
& ! [U_218,U_216,U_214] :
( ( leq(U_218,U_214)
& leq(U_216,U_218) )
| ~ in_closed(U_218,U_216,U_214) ) ),
inference(miniscope,[status(thm)],[f_33_2]) ).
cnf(f_33_6,plain,
( in_closed(U_219,U_217,U_215)
| ~ leq(U_219,U_215)
| ~ leq(U_217,U_219) ),
inference(clausify,[status(thm)],[f_33_3]) ).
fof(f_42_1,plain,
less(v0,v600),
inference(fof_nnf,[status(thm)],[ord_v0_v600]) ).
cnf(f_42_2,plain,
less(v0,v600),
inference(clausify,[status(thm)],[f_42_1]) ).
fof(f_43_1,plain,
less(v400,v600),
inference(fof_nnf,[status(thm)],[ord_v400_v600]) ).
cnf(f_43_2,plain,
less(v400,v600),
inference(clausify,[status(thm)],[f_43_1]) ).
fof(f_45_1,plain,
less(v600,v800),
inference(fof_nnf,[status(thm)],[ord_v600_v800]) ).
cnf(f_45_2,plain,
less(v600,v800),
inference(clausify,[status(thm)],[f_45_1]) ).
fof(f_47_1,negated_conjecture,
~ box2_compatible(v0,v600,v0,v600,v400,v800,v400,v800),
inference(negate,[status(cth)],[odrl624]) ).
cnf(f_47_2,negated_conjecture,
~ box2_compatible(v0,v600,v0,v600,v400,v800,v400,v800),
inference(clausify,[status(thm)],[f_47_1]) ).
cnf(equality_1,axiom,
Eq_x_0 = Eq_x_0,
theory(equality,[reflexivity]) ).
cnf(t1,plain,
~ box2_compatible(v0,v600,v0,v600,v400,v800,v400,v800),
inference(start,[status(thm),parent(0:0)],[f_47_2]) ).
cnf(t2,plain,
( ~ axis_compatible(v0,v600,v400,v800)
| ~ axis_compatible(v0,v600,v400,v800)
| box2_compatible(v0,v600,v0,v600,v400,v800,v400,v800) ),
inference(extension,[status(thm),parent(t1:1)],[f_30_6]) ).
cnf(t3,plain,
$false,
inference(connection,[status(thm),parent(t2:1)],[t2:1,t1:1]) ).
cnf(t4,plain,
( ~ in_closed(v600,v400,v800)
| ~ in_closed(v600,v0,v600)
| axis_compatible(v0,v600,v400,v800) ),
inference(extension,[status(thm),parent(t2:2)],[f_15_7]) ).
cnf(t5,plain,
$false,
inference(connection,[status(thm),parent(t4:1)],[t4:1,t2:2]) ).
cnf(t6,plain,
( ~ leq(v600,v600)
| ~ leq(v0,v600)
| in_closed(v600,v0,v600) ),
inference(extension,[status(thm),parent(t4:2)],[f_33_6]) ).
cnf(t7,plain,
$false,
inference(connection,[status(thm),parent(t6:1)],[t6:1,t4:2]) ).
cnf(t8,plain,
( ~ less(v0,v600)
| leq(v0,v600) ),
inference(extension,[status(thm),parent(t6:2)],[f_6_3]) ).
cnf(t9,plain,
$false,
inference(connection,[status(thm),parent(t8:1)],[t8:1,t6:2]) ).
cnf(t10,plain,
less(v0,v600),
inference(extension,[status(thm),parent(t8:2)],[f_42_2]) ).
cnf(t11,plain,
$false,
inference(connection,[status(thm),parent(t10:1)],[t10:1,t8:2]) ).
cnf(t12,plain,
( v600 != v600
| leq(v600,v600) ),
inference(extension,[status(thm),parent(t6:3)],[f_4_6]) ).
cnf(t13,plain,
$false,
inference(connection,[status(thm),parent(t12:1)],[t12:1,t6:3]) ).
cnf(t14,plain,
v600 = v600,
inference(extension,[status(thm),parent(t12:2)],[equality_1]) ).
cnf(t15,plain,
$false,
inference(connection,[status(thm),parent(t14:1)],[t14:1,t12:2]) ).
cnf(t16,plain,
( ~ leq(v600,v800)
| ~ leq(v400,v600)
| in_closed(v600,v400,v800) ),
inference(extension,[status(thm),parent(t4:3)],[f_33_6]) ).
cnf(t17,plain,
$false,
inference(connection,[status(thm),parent(t16:1)],[t16:1,t4:3]) ).
cnf(t18,plain,
( ~ less(v400,v600)
| leq(v400,v600) ),
inference(extension,[status(thm),parent(t16:2)],[f_6_3]) ).
cnf(t19,plain,
$false,
inference(connection,[status(thm),parent(t18:1)],[t18:1,t16:2]) ).
cnf(t20,plain,
less(v400,v600),
inference(extension,[status(thm),parent(t18:2)],[f_43_2]) ).
cnf(t21,plain,
$false,
inference(connection,[status(thm),parent(t20:1)],[t20:1,t18:2]) ).
cnf(t22,plain,
( ~ less(v600,v800)
| leq(v600,v800) ),
inference(extension,[status(thm),parent(t16:3)],[f_6_3]) ).
cnf(t23,plain,
$false,
inference(connection,[status(thm),parent(t22:1)],[t22:1,t16:3]) ).
cnf(t24,plain,
less(v600,v800),
inference(extension,[status(thm),parent(t22:2)],[f_45_2]) ).
cnf(t25,plain,
$false,
inference(connection,[status(thm),parent(t24:1)],[t24:1,t22:2]) ).
cnf(l2,lemma,
axis_compatible(v0,v600,v400,v800),
inference(lemma,[status(cth),parent(t2:2),below(t1:1)],[t2:2]) ).
cnf(t26,plain,
axis_compatible(v0,v600,v400,v800),
inference(lemma_extension,[status(thm),parent(t2:3)],[l2:1]) ).
cnf(t27,plain,
$false,
inference(connection,[status(thm),parent(t26:1)],[t26:1,t2:3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : MGT091+1 : TPTP v9.3.1. Bugfixed v9.3.1.
% 0.00/0.03 This is a FOF_THM_RFO_SEQ problem
% 0.00/0.03 % Command : /export/starexec/sandbox2/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n026.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 16:22:50 UTC 2026
% 0.08/0.35 % CPUTime :
% 75.78/76.04 % SZS status Theorem for theBenchmark
% 75.78/76.04 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------