%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : MGT070+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 : n019.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 08:03:03 AM UTC 2026
% Result : Theorem 0.09s 0.39s
% Output : CNFRefutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 4
% Syntax : Number of formulae : 14 ( 7 unt; 0 def)
% Number of atoms : 26 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 23 ( 11 ~; 6 |; 5 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 18 ( 4 sgn 5 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(completion_compat,axiom,
! [V,InfD,SupD] :
( ( leq(V,SupD)
& leq(InfD,V) )
=> completion_compatible(V,InfD,SupD) ),
file('theBenchmark.p',completion_compat) ).
fof(h_inf_lb,axiom,
! [X] : leq(ninf,X),
file('theBenchmark.p',h_inf_lb) ).
fof(h_sup_ub,axiom,
! [X] : leq(X,nsup),
file('theBenchmark.p',h_sup_ub) ).
fof(unknown_sound_compatible,conjecture,
? [V] :
( completion_compatible(V,ninf,nsup)
& leq(V,nsup)
& leq(ninf,V) ),
file('theBenchmark.p',unknown_sound_compatible) ).
fof(unknown_sound_compatible_neg,negated_conjecture,
~ ? [V] :
( completion_compatible(V,ninf,nsup)
& leq(V,nsup)
& leq(ninf,V) ),
inference(assume_negation,[status(cth)],[unknown_sound_compatible]) ).
cnf(c_90,plain,
( completion_compatible(B,A,C)
| ~ leq(B,C)
| ~ leq(A,B) ),
inference(clausify,[status(thm)],[completion_compat]) ).
cnf(c_93,plain,
leq(ninf,A),
inference(clausify,[status(thm)],[h_inf_lb]) ).
cnf(c_94,plain,
leq(A,nsup),
inference(clausify,[status(thm)],[h_sup_ub]) ).
cnf(c_96,negated_conjecture,
( ~ completion_compatible(A,ninf,nsup)
| ~ leq(A,nsup)
| ~ leq(ninf,A) ),
inference(clausify,[status(thm)],[unknown_sound_compatible_neg]) ).
cnf(c_199,negated_conjecture,
( ~ completion_compatible(A,ninf,nsup)
| ~ leq(A,nsup) ),
inference(resolve,[status(thm)],[c_93,c_96]) ).
cnf(c_97,negated_conjecture,
~ completion_compatible(A,ninf,nsup),
inference(resolve,[status(thm)],[c_94,c_199]) ).
cnf(c_200,plain,
( completion_compatible(B,A,nsup)
| ~ leq(A,B) ),
inference(resolve,[status(thm)],[c_90,c_94]) ).
cnf(c_201,negated_conjecture,
~ leq(ninf,A),
inference(resolve,[status(thm)],[c_200,c_97]) ).
cnf(c_198,negated_conjecture,
$false,
inference(resolve,[status(thm)],[c_93,c_201]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : MGT070+1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n019.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sat Sep 26 00:11:48 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.09/0.36 % Process 4054801 was started by sandbox2 on n019,
% 0.09/0.36 % Sat Sep 26 00:11:48 2026
% 0.09/0.36 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.09/0.37
% 0.09/0.37 % From the command line: assign(max_seconds, 300).
% 0.09/0.39
% 0.09/0.39 % SZS status Theorem for theBenchmark
% 0.09/0.39
% 0.09/0.39 % Proof 1 at 0.00 (+ 0.00) seconds.
% 0.09/0.39 % Length of proof is 10.
% 0.09/0.39 % Level of proof is 3.
% 0.09/0.39 % Maximum clause weight is 15.000.
% 0.09/0.39 % Given clauses 40.
% 0.09/0.39
% 0.09/0.39 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------