%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : MGT073+1 : TPTP v9.3.1. Released v9.3.0.
% 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 : n001.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 0.40s 0.69s
% Output : Proof 0.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 3
% Syntax : Number of formulae : 25 ( 9 unt; 0 def)
% Number of atoms : 58 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 60 ( 27 ~; 21 |; 11 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-4 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-4 aty)
% Number of variables : 50 ( 0 sgn 35 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
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(compatible_hyp,hypothesis,
axis_compatible(n0,n10,n5,n10),
file('theBenchmark.p',compatible_hyp) ).
fof(no_false_compatible,conjecture,
? [X] :
( in_closed(X,n5,n10)
& in_closed(X,n0,n10) ),
file('theBenchmark.p',no_false_compatible) ).
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_5,plain,
( 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(clausify,[status(thm)],[f_15_4]) ).
cnf(f_15_6,plain,
( in_closed(sK2(U_87,U_85,U_83,U_81),U_83,U_81)
| ~ axis_compatible(U_87,U_85,U_83,U_81) ),
inference(clausify,[status(thm)],[f_15_4]) ).
fof(f_39_1,plain,
axis_compatible(n0,n10,n5,n10),
inference(fof_nnf,[status(thm)],[compatible_hyp]) ).
cnf(f_39_2,plain,
axis_compatible(n0,n10,n5,n10),
inference(clausify,[status(thm)],[f_39_1]) ).
fof(f_40_1,negated_conjecture,
~ ? [X] :
( in_closed(X,n5,n10)
& in_closed(X,n0,n10) ),
inference(negate,[status(cth)],[no_false_compatible]) ).
fof(f_40_2,negated_conjecture,
! [X] :
( ~ in_closed(X,n5,n10)
| ~ in_closed(X,n0,n10) ),
inference(fof_nnf,[status(thm)],[f_40_1]) ).
fof(f_40_3,negated_conjecture,
! [U_247] :
( ~ in_closed(U_247,n5,n10)
| ~ in_closed(U_247,n0,n10) ),
inference(variable_rename,[status(thm)],[f_40_2]) ).
fof(f_40_4,negated_conjecture,
! [U_247] :
( ~ in_closed(U_247,n5,n10)
| ~ in_closed(U_247,n0,n10) ),
inference(definitional_conversion,[status(esa)],[f_40_3]) ).
cnf(f_40_5,negated_conjecture,
( ~ in_closed(U_247,n5,n10)
| ~ in_closed(U_247,n0,n10) ),
inference(clausify,[status(thm)],[f_40_4]) ).
cnf(t1,plain,
( ~ in_closed(sK2(n0,n10,n5,n10),n5,n10)
| ~ in_closed(sK2(n0,n10,n5,n10),n0,n10) ),
inference(start,[status(thm),parent(0:0)],[f_40_5]) ).
cnf(t2,plain,
( ~ axis_compatible(n0,n10,n5,n10)
| in_closed(sK2(n0,n10,n5,n10),n0,n10) ),
inference(extension,[status(thm),parent(t1:1)],[f_15_5]) ).
cnf(t3,plain,
$false,
inference(connection,[status(thm),parent(t2:1)],[t2:1,t1:1]) ).
cnf(t4,plain,
axis_compatible(n0,n10,n5,n10),
inference(extension,[status(thm),parent(t2:2)],[f_39_2]) ).
cnf(t5,plain,
$false,
inference(connection,[status(thm),parent(t4:1)],[t4:1,t2:2]) ).
cnf(t6,plain,
( ~ axis_compatible(n0,n10,n5,n10)
| in_closed(sK2(n0,n10,n5,n10),n5,n10) ),
inference(extension,[status(thm),parent(t1:2)],[f_15_6]) ).
cnf(t7,plain,
$false,
inference(connection,[status(thm),parent(t6:1)],[t6:1,t1:2]) ).
cnf(t8,plain,
axis_compatible(n0,n10,n5,n10),
inference(extension,[status(thm),parent(t6:2)],[f_39_2]) ).
cnf(t9,plain,
$false,
inference(connection,[status(thm),parent(t8:1)],[t8:1,t6:2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT073+1 : TPTP v9.3.1. Released v9.3.0.
% 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
% 0.11/0.36 % Computer : n001.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
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Sat Sep 19 16:24:54 UTC 2026
% 0.11/0.36 % CPUTime :
% 0.40/0.69 % SZS status Theorem for theBenchmark
% 0.40/0.69 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------