%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : MGT071+1 : TPTP v9.3.1. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /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 : Sun Sep 27 08:03:04 AM UTC 2026
% Result : Theorem 0.11s 0.40s
% Output : CNFRefutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 3
% Syntax : Number of formulae : 13 ( 6 unt; 0 def)
% Number of atoms : 22 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 19 ( 10 ~; 3 |; 5 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-4 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 14 ( 0 sgn 4 !; 4 ?)
% 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('theBenchmark.p',axis_conflict_def) ).
fof(no_false_conflict,conjecture,
~ ? [X] :
( in_closed(X,n10,n15)
& in_closed(X,n0,n5) ),
file('theBenchmark.p',no_false_conflict) ).
fof(no_false_conflict_neg,negated_conjecture,
~ ~ ? [X] :
( in_closed(X,n10,n15)
& in_closed(X,n0,n5) ),
inference(assume_negation,[status(cth)],[no_false_conflict]) ).
cnf(c_69,plain,
( ~ in_closed(E,C,D)
| ~ in_closed(E,A,B)
| ~ axis_conflict(A,B,C,D) ),
inference(clausify,[status(thm)],[axis_conflict_def]) ).
fof(conflict_hyp,axiom,
axis_conflict(n0,n5,n10,n15),
file('theBenchmark.p',conflict_hyp) ).
cnf(c_72,plain,
axis_conflict(n0,n5,n10,n15),
inference(clausify,[status(thm)],[conflict_hyp]) ).
cnf(c_73,plain,
( ~ in_closed(A,n10,n15)
| ~ in_closed(A,n0,n5) ),
inference(resolve,[status(thm)],[c_69,c_72]) ).
fof(nnf_31,plain,
? [X] :
( in_closed(X,n10,n15)
& in_closed(X,n0,n5) ),
inference(fof_nnf,[status(thm)],[no_false_conflict_neg]) ).
fof(sk_no_false_conflict_neg,plain,
( in_closed(sK0,n10,n15)
& in_closed(sK0,n0,n5) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X,sK0)],[nnf_31]) ).
cnf(c_119,negated_conjecture,
in_closed(sK0,n0,n5),
inference(split_conjunct,[status(thm)],[sk_no_false_conflict_neg]) ).
cnf(c_120,negated_conjecture,
in_closed(sK0,n10,n15),
inference(split_conjunct,[status(thm)],[sk_no_false_conflict_neg]) ).
cnf(c_198,negated_conjecture,
~ in_closed(sK0,n10,n15),
inference(resolve,[status(thm)],[c_119,c_73]) ).
cnf(c_197,negated_conjecture,
$false,
inference(resolve,[status(thm)],[c_120,c_198]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT071+1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.36 % Computer : n008.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 26 00:12:24 UTC 2026
% 0.11/0.36 % CPUTime :
% 0.11/0.36 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.11/0.36 % Process 2243359 was started by sandbox2 on n008,
% 0.11/0.36 % Sat Sep 26 00:12:24 2026
% 0.11/0.36 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.11/0.38
% 0.11/0.38 % From the command line: assign(max_seconds, 300).
% 0.11/0.40
% 0.11/0.40 % SZS status Theorem for theBenchmark
% 0.11/0.40
% 0.11/0.40 % Proof 1 at 0.01 (+ 0.00) seconds.
% 0.11/0.40 % Length of proof is 8.
% 0.11/0.40 % Level of proof is 3.
% 0.11/0.40 % Maximum clause weight is 8.000.
% 0.11/0.40 % Given clauses 39.
% 0.11/0.40
% 0.11/0.40 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------