%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : MGT093+1 : TPTP v9.3.1. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n015.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 08:03:06 AM UTC 2026
% Result : Theorem 0.08s 0.39s
% Output : CNFRefutation 0.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 4
% Syntax : Number of formulae : 16 ( 9 unt; 0 def)
% Number of atoms : 38 ( 21 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 43 ( 21 ~; 18 |; 3 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 9 ( 0 sgn 2 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(xone_compat,axiom,
! [Vm,Vr] :
( ( Vr = conflict
& Vm = compatible
& is_verdict(Vr)
& is_verdict(Vm) )
=> xone_verdict(Vm,Vr) = compatible ),
file('theBenchmark.p',xone_compat) ).
fof(odrl644,conjecture,
xone_verdict(compatible,conflict) = compatible,
file('theBenchmark.p',odrl644) ).
fof(odrl644_neg,negated_conjecture,
xone_verdict(compatible,conflict) != compatible,
inference(assume_negation,[status(cth)],[odrl644]) ).
cnf(c_49,negated_conjecture,
xone_verdict(compatible,conflict) != compatible,
inference(clausify,[status(thm)],[odrl644_neg]) ).
fof(compatible_is_verdict,axiom,
is_verdict(compatible),
file('theBenchmark.p',compatible_is_verdict) ).
cnf(c_65,plain,
is_verdict(compatible),
inference(clausify,[status(thm)],[compatible_is_verdict]) ).
fof(conflict_is_verdict,axiom,
is_verdict(conflict),
file('theBenchmark.p',conflict_is_verdict) ).
cnf(c_66,plain,
is_verdict(conflict),
inference(clausify,[status(thm)],[conflict_is_verdict]) ).
cnf(c_80,plain,
( xone_verdict(A,B) = compatible
| B != conflict
| A != compatible
| ~ is_verdict(B)
| ~ is_verdict(A) ),
inference(clausify,[status(thm)],[xone_compat]) ).
cnf(c_162,plain,
( xone_verdict(A,B) = compatible
| B != conflict
| compatible != A
| ~ is_verdict(B)
| ~ is_verdict(A) ),
inference(copy,[status(thm)],[c_80]) ).
cnf(c_81,plain,
( xone_verdict(A,B) = compatible
| conflict != B
| compatible != A
| ~ is_verdict(B)
| ~ is_verdict(A) ),
inference(copy,[status(thm)],[c_162]) ).
cnf(c_163,plain,
( xone_verdict(A,conflict) = compatible
| conflict != conflict
| compatible != A
| ~ is_verdict(A) ),
inference(resolve,[status(thm)],[c_81,c_66]) ).
cnf(c_164,plain,
( xone_verdict(compatible,conflict) = compatible
| conflict != conflict
| ~ is_verdict(compatible) ),
inference(xxres,[status(thm)],[c_163]) ).
cnf(c_165,plain,
( xone_verdict(compatible,conflict) = compatible
| ~ is_verdict(compatible) ),
inference(xxres,[status(thm)],[c_164]) ).
cnf(c_166,negated_conjecture,
~ is_verdict(compatible),
inference(resolve,[status(thm)],[c_165,c_49]) ).
cnf(c_161,negated_conjecture,
$false,
inference(resolve,[status(thm)],[c_65,c_166]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT093+1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.36 % Computer : n015.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Sat Sep 26 00:15:42 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.36 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.08/0.36 % Process 2616941 was started by sandbox on n015,
% 0.08/0.36 % Sat Sep 26 00:15:42 2026
% 0.08/0.36 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.08/0.38
% 0.08/0.38 % From the command line: assign(max_seconds, 300).
% 0.08/0.39
% 0.08/0.39 % SZS status Theorem for theBenchmark
% 0.08/0.39
% 0.08/0.39 % Proof 1 at 0.00 (+ 0.00) seconds.
% 0.08/0.39 % Length of proof is 8.
% 0.08/0.39 % Level of proof is 3.
% 0.08/0.39 % Maximum clause weight is 25.000.
% 0.08/0.39 % Given clauses 27.
% 0.08/0.39
% 0.08/0.39 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------