%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : MGT071+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 : n008.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 0.13s 0.43s
% Output : Proof 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 3
% Syntax : Number of formulae : 23 ( 11 unt; 0 def)
% Number of atoms : 54 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 51 ( 20 ~; 16 |; 14 &)
% ( 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 : 6 ( 6 usr; 5 con; 0-4 aty)
% Number of variables : 44 ( 0 sgn 32 !; 7 ?)
% Comments :
%------------------------------------------------------------------------------
fof(axis_conflict_def,axiom,
! [I1lo,I1hi,I2lo,I2hi] :
( axis_conflict(I1lo,I1hi,I2lo,I2hi)
<=> ~ ? [X] :
( in_closed(X,I2lo,I2hi)
& in_closed(X,I1lo,I1hi) ) ),
file('MGT002+2.ax',axis_conflict_def) ).
fof(conflict_hyp,hypothesis,
axis_conflict(n0,n5,n10,n15),
file('theBenchmark.p',conflict_hyp) ).
fof(no_false_conflict,conjecture,
~ ? [X] :
( in_closed(X,n10,n15)
& in_closed(X,n0,n5) ),
file('theBenchmark.p',no_false_conflict) ).
fof(f_14_1,plain,
! [I1lo,I1hi,I2lo,I2hi] :
( ( axis_conflict(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_conflict(I1lo,I1hi,I2lo,I2hi) ) ),
inference(fof_nnf,[status(thm)],[axis_conflict_def]) ).
fof(f_14_2,plain,
! [U_66,U_65,U_64,U_63] :
( ( axis_conflict(U_66,U_65,U_64,U_63)
| ? [U_62] :
( in_closed(U_62,U_64,U_63)
& in_closed(U_62,U_66,U_65) ) )
& ( ! [U_61] :
( ~ in_closed(U_61,U_64,U_63)
| ~ in_closed(U_61,U_66,U_65) )
| ~ axis_conflict(U_66,U_65,U_64,U_63) ) ),
inference(variable_rename,[status(thm)],[f_14_1]) ).
fof(f_14_3,plain,
( ! [U_74,U_72,U_70,U_68] :
( axis_conflict(U_74,U_72,U_70,U_68)
| ? [U_62] :
( in_closed(U_62,U_70,U_68)
& in_closed(U_62,U_74,U_72) ) )
& ! [U_73,U_71,U_69,U_67] :
( ! [U_61] :
( ~ in_closed(U_61,U_69,U_67)
| ~ in_closed(U_61,U_73,U_71) )
| ~ axis_conflict(U_73,U_71,U_69,U_67) ) ),
inference(miniscope,[status(thm)],[f_14_2]) ).
fof(f_14_4,plain,
( ! [U_74,U_72,U_70,U_68] :
( axis_conflict(U_74,U_72,U_70,U_68)
| ( in_closed(sK1(U_74,U_72,U_70,U_68),U_70,U_68)
& in_closed(sK1(U_74,U_72,U_70,U_68),U_74,U_72) ) )
& ! [U_73,U_71,U_69,U_67] :
( ! [U_61] :
( ~ in_closed(U_61,U_69,U_67)
| ~ in_closed(U_61,U_73,U_71) )
| ~ axis_conflict(U_73,U_71,U_69,U_67) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(U_62,sK1(U_74,U_72,U_70,U_68))],[f_14_3]) ).
cnf(f_14_5,plain,
( ~ in_closed(U_61,U_69,U_67)
| ~ in_closed(U_61,U_73,U_71)
| ~ axis_conflict(U_73,U_71,U_69,U_67) ),
inference(clausify,[status(thm)],[f_14_4]) ).
fof(f_40_1,plain,
axis_conflict(n0,n5,n10,n15),
inference(fof_nnf,[status(thm)],[conflict_hyp]) ).
cnf(f_40_2,plain,
axis_conflict(n0,n5,n10,n15),
inference(clausify,[status(thm)],[f_40_1]) ).
fof(f_41_1,negated_conjecture,
? [X] :
( in_closed(X,n10,n15)
& in_closed(X,n0,n5) ),
inference(negate,[status(cth)],[no_false_conflict]) ).
fof(f_41_2,negated_conjecture,
? [U_247] :
( in_closed(U_247,n10,n15)
& in_closed(U_247,n0,n5) ),
inference(variable_rename,[status(thm)],[f_41_1]) ).
fof(f_41_3,negated_conjecture,
( in_closed(sK4,n10,n15)
& in_closed(sK4,n0,n5) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4]),skolemize(U_247,sK4)],[f_41_2]) ).
fof(f_41_4,negated_conjecture,
( in_closed(sK4,n10,n15)
& in_closed(sK4,n0,n5) ),
inference(definitional_conversion,[status(esa)],[f_41_3]) ).
cnf(f_41_5,negated_conjecture,
in_closed(sK4,n0,n5),
inference(clausify,[status(thm)],[f_41_4]) ).
cnf(f_41_6,negated_conjecture,
in_closed(sK4,n10,n15),
inference(clausify,[status(thm)],[f_41_4]) ).
cnf(t1,plain,
( ~ in_closed(sK4,n0,n5)
| ~ in_closed(sK4,n10,n15)
| ~ axis_conflict(n0,n5,n10,n15) ),
inference(start,[status(thm),parent(0:0)],[f_14_5]) ).
cnf(t2,plain,
axis_conflict(n0,n5,n10,n15),
inference(extension,[status(thm),parent(t1:1)],[f_40_2]) ).
cnf(t3,plain,
$false,
inference(connection,[status(thm),parent(t2:1)],[t2:1,t1:1]) ).
cnf(t4,plain,
in_closed(sK4,n10,n15),
inference(extension,[status(thm),parent(t1:2)],[f_41_6]) ).
cnf(t5,plain,
$false,
inference(connection,[status(thm),parent(t4:1)],[t4:1,t1:2]) ).
cnf(t6,plain,
in_closed(sK4,n0,n5),
inference(extension,[status(thm),parent(t1:3)],[f_41_5]) ).
cnf(t7,plain,
$false,
inference(connection,[status(thm),parent(t6:1)],[t6:1,t1:3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : MGT071+1 : TPTP v9.3.1. Released v9.3.0.
% 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
% 0.07/0.35 % Computer : n008.cluster.edu
% 0.07/0.35 % Model : x86_64 x86_64
% 0.07/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.35 % Memory : 8046.5625MB
% 0.07/0.35 % OS : Linux 6.8.0-71-generic
% 0.07/0.35 % CPULimit : 300
% 0.07/0.35 % WCLimit : 300
% 0.07/0.35 % DateTime : Sat Sep 19 16:20:08 UTC 2026
% 0.07/0.35 % CPUTime :
% 0.13/0.43 % SZS status Theorem for theBenchmark
% 0.13/0.43 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------