%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : MGT107+1 : TPTP v9.3.1. Bugfixed v9.3.1.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n012.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 08:03:08 AM UTC 2026
% Result : Unsatisfiable 0.04s 0.53s
% Output : CNFRefutation 0.04s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 3
% Syntax : Number of formulae : 9 ( 9 unt; 0 def)
% Number of atoms : 9 ( 8 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 2 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 0 ( 0 sgn 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(wit_eq2,axiom,
w = v800,
file('theBenchmark.p',wit_eq2) ).
cnf(c_42,plain,
w = v800,
inference(clausify,[status(thm)],[wit_eq2]) ).
fof(wit_eq1,axiom,
w = v600,
file('theBenchmark.p',wit_eq1) ).
cnf(c_43,plain,
w = v600,
inference(clausify,[status(thm)],[wit_eq1]) ).
cnf(c_44,plain,
v800 = v600,
inference(paramod,[status(thm)],[c_42,c_43]) ).
fof(distinct,axiom,
v600 != v800,
file('theBenchmark.p',distinct) ).
cnf(c_45,plain,
v600 != v800,
inference(clausify,[status(thm)],[distinct]) ).
cnf(c_47,plain,
v600 != v600,
inference(paramod,[status(thm)],[c_44,c_45]) ).
cnf(c_46,plain,
$false,
inference(copy,[status(thm)],[c_47]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : MGT107+1 : TPTP v9.3.1. Bugfixed v9.3.1.
% 0.00/0.02 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.04/0.51 % Computer : n012.cluster.edu
% 0.04/0.51 % Model : x86_64 x86_64
% 0.04/0.51 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.04/0.51 % Memory : 8046.5625MB
% 0.04/0.51 % OS : Linux 6.8.0-71-generic
% 0.04/0.51 % CPULimit : 300
% 0.04/0.51 % WCLimit : 300
% 0.04/0.51 % DateTime : Sat Sep 26 00:13:37 UTC 2026
% 0.04/0.51 % CPUTime :
% 0.04/0.51 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.04/0.51 % Process 3410911 was started by sandbox on n012,
% 0.04/0.51 % Sat Sep 26 00:13:37 2026
% 0.04/0.51 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.04/0.52
% 0.04/0.52 % From the command line: assign(max_seconds, 300).
% 0.04/0.53
% 0.04/0.53 % SZS status Unsatisfiable for theBenchmark
% 0.04/0.53
% 0.04/0.53 % Proof 1 at 0.00 (+ 0.00) seconds.
% 0.04/0.53 % Length of proof is 5.
% 0.04/0.53 % Level of proof is 2.
% 0.04/0.53 % Maximum clause weight is 3.000.
% 0.04/0.53 % Given clauses 0.
% 0.04/0.53
% 0.04/0.53 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------