%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : MGT045-1 : 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 : n020.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 08:02:57 AM UTC 2026
% Result : Unsatisfiable 0.13s 0.38s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 5
% Syntax : Number of formulae : 15 ( 9 unt; 0 def)
% Number of atoms : 25 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 23 ( 13 ~; 10 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 16 ( 0 sgn 6 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(assumption_8_32,axiom,
! [VAR_0,VAR_1,VAR_2] :
( greater(external_ties(VAR_0,VAR_1),external_ties(VAR_0,VAR_2))
| ~ greater(age(VAR_0,VAR_1),age(VAR_0,VAR_2))
| ~ organization(VAR_0) ),
file('theBenchmark.p',assumption_8_32) ).
cnf(c_10,plain,
( greater(external_ties(A,B),external_ties(A,C))
| ~ greater(age(A,B),age(A,C))
| ~ organization(A) ),
inference(clausify,[status(thm)],[assumption_8_32]) ).
fof(lemma_4_33,axiom,
organization(sk1),
file('theBenchmark.p',lemma_4_33) ).
cnf(c_11,plain,
organization(sk1),
inference(clausify,[status(thm)],[lemma_4_33]) ).
fof(assumption_6_30,axiom,
! [VAR_0,VAR_1,VAR_2] :
( greater(position(VAR_0,VAR_1),position(VAR_0,VAR_2))
| ~ greater(external_ties(VAR_0,VAR_1),external_ties(VAR_0,VAR_2))
| ~ organization(VAR_0) ),
file('theBenchmark.p',assumption_6_30) ).
cnf(c_13,plain,
( greater(position(A,B),position(A,C))
| ~ greater(external_ties(A,B),external_ties(A,C))
| ~ organization(A) ),
inference(clausify,[status(thm)],[assumption_6_30]) ).
cnf(c_14,plain,
( greater(position(sk1,A),position(sk1,B))
| ~ greater(external_ties(sk1,A),external_ties(sk1,B)) ),
inference(resolve,[status(thm)],[c_13,c_11]) ).
cnf(c_16,plain,
( greater(external_ties(sk1,A),external_ties(sk1,B))
| ~ greater(age(sk1,A),age(sk1,B)) ),
inference(resolve,[status(thm)],[c_10,c_11]) ).
fof(lemma_4_34,axiom,
greater(age(sk1,sk3),age(sk1,sk2)),
file('theBenchmark.p',lemma_4_34) ).
cnf(c_20,plain,
greater(age(sk1,sk3),age(sk1,sk2)),
inference(clausify,[status(thm)],[lemma_4_34]) ).
fof(lemma_4_35,axiom,
~ greater(position(sk1,sk3),position(sk1,sk2)),
file('theBenchmark.p',lemma_4_35) ).
cnf(c_21,plain,
~ greater(position(sk1,sk3),position(sk1,sk2)),
inference(clausify,[status(thm)],[lemma_4_35]) ).
cnf(c_34,plain,
greater(external_ties(sk1,sk3),external_ties(sk1,sk2)),
inference(resolve,[status(thm)],[c_20,c_16]) ).
cnf(c_37,plain,
~ greater(external_ties(sk1,sk3),external_ties(sk1,sk2)),
inference(resolve,[status(thm)],[c_14,c_21]) ).
cnf(c_36,plain,
$false,
inference(resolve,[status(thm)],[c_34,c_37]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT045-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n020.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 00:10:03 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.13/0.36 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.13/0.36 % Process 4159559 was started by sandbox on n020,
% 0.13/0.36 % Sat Sep 26 00:10:03 2026
% 0.13/0.36 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.13/0.37
% 0.13/0.37 % From the command line: assign(max_seconds, 300).
% 0.13/0.38
% 0.13/0.38 % SZS status Unsatisfiable for theBenchmark
% 0.13/0.38
% 0.13/0.38 % Proof 1 at 0.00 (+ 0.00) seconds.
% 0.13/0.38 % Length of proof is 9.
% 0.13/0.38 % Level of proof is 3.
% 0.13/0.38 % Maximum clause weight is 14.000.
% 0.13/0.38 % Given clauses 8.
% 0.13/0.38
% 0.13/0.38 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------