%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : MGT049-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox/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 08:02:58 AM UTC 2026
% Result : Unsatisfiable 0.22s 0.66s
% Output : CNFRefutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of formulae : 12 ( 7 unt; 0 def)
% Number of atoms : 19 ( 12 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 16 ( 9 ~; 7 |; 0 &)
% ( 0 <=>; 0 =>; 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 : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 18 ( 6 sgn 6 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(assumption_11_32,axiom,
! [VAR_0,VAR_1,VAR_2] :
( external_ties(VAR_0,VAR_1) = external_ties(VAR_0,VAR_2)
| ~ organization(VAR_0) ),
file('theBenchmark.p',assumption_11_32) ).
cnf(c_10,plain,
( external_ties(A,B) = external_ties(A,C)
| ~ organization(A) ),
inference(clausify,[status(thm)],[assumption_11_32]) ).
fof(lemma_6_33,axiom,
organization(sk1),
file('theBenchmark.p',lemma_6_33) ).
cnf(c_11,plain,
organization(sk1),
inference(clausify,[status(thm)],[lemma_6_33]) ).
fof(assumption_6_31,axiom,
! [VAR_0,VAR_1,VAR_2] :
( position(VAR_0,VAR_1) = position(VAR_0,VAR_2)
| external_ties(VAR_0,VAR_1) != external_ties(VAR_0,VAR_2)
| ~ organization(VAR_0) ),
file('theBenchmark.p',assumption_6_31) ).
cnf(c_12,plain,
( position(A,B) = position(A,C)
| external_ties(A,B) != external_ties(A,C)
| ~ organization(A) ),
inference(clausify,[status(thm)],[assumption_6_31]) ).
cnf(c_15,plain,
( position(sk1,A) = position(sk1,B)
| external_ties(sk1,A) != external_ties(sk1,B) ),
inference(resolve,[status(thm)],[c_12,c_11]) ).
cnf(c_16,plain,
external_ties(sk1,A) = external_ties(sk1,B),
inference(resolve,[status(thm)],[c_10,c_11]) ).
fof(lemma_6_35,axiom,
position(sk1,sk3) != position(sk1,sk2),
file('theBenchmark.p',lemma_6_35) ).
cnf(c_21,plain,
position(sk1,sk3) != position(sk1,sk2),
inference(clausify,[status(thm)],[lemma_6_35]) ).
cnf(c_22,plain,
position(sk1,A) = position(sk1,B),
inference(resolve,[status(thm)],[c_16,c_15]) ).
cnf(c_23,plain,
$false,
inference(resolve,[status(thm)],[c_22,c_21]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : MGT049-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.63 % Computer : n008.cluster.edu
% 0.17/0.63 % Model : x86_64 x86_64
% 0.17/0.63 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.63 % Memory : 8046.5625MB
% 0.17/0.63 % OS : Linux 6.8.0-71-generic
% 0.17/0.63 % CPULimit : 300
% 0.17/0.63 % WCLimit : 300
% 0.17/0.63 % DateTime : Sat Sep 26 00:10:24 UTC 2026
% 0.17/0.64 % CPUTime :
% 0.17/0.64 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.17/0.64 % Process 2237632 was started by sandbox on n008,
% 0.17/0.64 % Sat Sep 26 00:10:24 2026
% 0.17/0.64 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.17/0.65
% 0.17/0.65 % From the command line: assign(max_seconds, 300).
% 0.22/0.66
% 0.22/0.66 % SZS status Unsatisfiable for theBenchmark
% 0.22/0.66
% 0.22/0.66 % Proof 1 at 0.00 (+ 0.00) seconds.
% 0.22/0.66 % Length of proof is 8.
% 0.22/0.66 % Level of proof is 3.
% 0.22/0.66 % Maximum clause weight is 14.000.
% 0.22/0.66 % Given clauses 0.
% 0.22/0.66
% 0.22/0.66 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------