%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : MGT046-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n006.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 0.08s 0.37s
% Output : CNFRefutation 0.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 13
% Syntax : Number of formulae : 47 ( 18 unt; 0 def)
% Number of atoms : 104 ( 5 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 114 ( 57 ~; 57 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 3 con; 0-2 aty)
% Number of variables : 73 ( 10 sgn 24 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(theorem_1_53,axiom,
organization(sk1),
file('theBenchmark.p',theorem_1_53) ).
cnf(c_1,plain,
organization(sk1),
inference(clausify,[status(thm)],[theorem_1_53]) ).
fof(assumption_9_52,axiom,
! [VAR_0,VAR_1,VAR_2] :
( internal_friction(VAR_0,VAR_1) = internal_friction(VAR_0,VAR_2)
| ~ organization(VAR_0) ),
file('theBenchmark.p',assumption_9_52) ).
cnf(c_2,plain,
( internal_friction(A,B) = internal_friction(A,C)
| ~ organization(A) ),
inference(clausify,[status(thm)],[assumption_9_52]) ).
fof(assumption_8_51,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_51) ).
cnf(c_3,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_51]) ).
fof(assumption_7_50,axiom,
! [VAR_0,VAR_1,VAR_2] :
( greater(stock_of_knowledge(VAR_0,VAR_1),stock_of_knowledge(VAR_0,VAR_2))
| ~ greater(age(VAR_0,VAR_1),age(VAR_0,VAR_2))
| ~ organization(VAR_0) ),
file('theBenchmark.p',assumption_7_50) ).
cnf(c_4,plain,
( greater(stock_of_knowledge(A,B),stock_of_knowledge(A,C))
| ~ greater(age(A,B),age(A,C))
| ~ organization(A) ),
inference(clausify,[status(thm)],[assumption_7_50]) ).
fof(assumption_6_48,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_48) ).
cnf(c_6,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_48]) ).
fof(assumption_5_45,axiom,
! [VAR_0,VAR_1,VAR_2] :
( greater(capability(VAR_0,VAR_1),capability(VAR_0,VAR_2))
| ~ smaller_or_equal(internal_friction(VAR_0,VAR_1),internal_friction(VAR_0,VAR_2))
| ~ greater(stock_of_knowledge(VAR_0,VAR_1),stock_of_knowledge(VAR_0,VAR_2))
| ~ organization(VAR_0) ),
file('theBenchmark.p',assumption_5_45) ).
cnf(c_9,plain,
( greater(capability(A,B),capability(A,C))
| ~ smaller_or_equal(internal_friction(A,B),internal_friction(A,C))
| ~ greater(stock_of_knowledge(A,B),stock_of_knowledge(A,C))
| ~ organization(A) ),
inference(clausify,[status(thm)],[assumption_5_45]) ).
fof(assumption_4_43,axiom,
! [VAR_0,VAR_1,VAR_2] :
( smaller(hazard_of_mortality(VAR_0,VAR_2),hazard_of_mortality(VAR_0,VAR_1))
| ~ greater(position(VAR_0,VAR_2),position(VAR_0,VAR_1))
| ~ greater_or_equal(capability(VAR_0,VAR_2),capability(VAR_0,VAR_1))
| has_immunity(VAR_0,VAR_2)
| has_immunity(VAR_0,VAR_1)
| ~ organization(VAR_0) ),
file('theBenchmark.p',assumption_4_43) ).
cnf(c_11,plain,
( smaller(hazard_of_mortality(A,C),hazard_of_mortality(A,B))
| ~ greater(position(A,C),position(A,B))
| ~ greater_or_equal(capability(A,C),capability(A,B))
| has_immunity(A,C)
| has_immunity(A,B)
| ~ organization(A) ),
inference(clausify,[status(thm)],[assumption_4_43]) ).
fof(assumption_1_41,axiom,
! [VAR_0,VAR_1] :
( ~ has_immunity(VAR_0,VAR_1)
| has_endowment(VAR_0)
| ~ organization(VAR_0) ),
file('theBenchmark.p',assumption_1_41) ).
cnf(c_13,plain,
( ~ has_immunity(A,B)
| has_endowment(A)
| ~ organization(A) ),
inference(clausify,[status(thm)],[assumption_1_41]) ).
cnf(c_14,plain,
( ~ has_immunity(sk1,A)
| has_endowment(sk1) ),
inference(resolve,[status(thm)],[c_1,c_13]) ).
cnf(c_16,plain,
( smaller(hazard_of_mortality(sk1,B),hazard_of_mortality(sk1,A))
| ~ greater(position(sk1,B),position(sk1,A))
| ~ greater_or_equal(capability(sk1,B),capability(sk1,A))
| has_immunity(sk1,B)
| has_immunity(sk1,A) ),
inference(resolve,[status(thm)],[c_1,c_11]) ).
cnf(c_18,plain,
( greater(capability(sk1,A),capability(sk1,B))
| ~ smaller_or_equal(internal_friction(sk1,A),internal_friction(sk1,B))
| ~ greater(stock_of_knowledge(sk1,A),stock_of_knowledge(sk1,B)) ),
inference(resolve,[status(thm)],[c_1,c_9]) ).
cnf(c_21,plain,
( greater(position(sk1,A),position(sk1,B))
| ~ greater(external_ties(sk1,A),external_ties(sk1,B)) ),
inference(resolve,[status(thm)],[c_1,c_6]) ).
cnf(c_23,plain,
( greater(stock_of_knowledge(sk1,A),stock_of_knowledge(sk1,B))
| ~ greater(age(sk1,A),age(sk1,B)) ),
inference(resolve,[status(thm)],[c_1,c_4]) ).
cnf(c_24,plain,
( greater(external_ties(sk1,A),external_ties(sk1,B))
| ~ greater(age(sk1,A),age(sk1,B)) ),
inference(resolve,[status(thm)],[c_1,c_3]) ).
cnf(c_25,plain,
internal_friction(sk1,A) = internal_friction(sk1,B),
inference(resolve,[status(thm)],[c_1,c_2]) ).
fof(theorem_1_56,axiom,
~ smaller(hazard_of_mortality(sk1,sk3),hazard_of_mortality(sk1,sk2)),
file('theBenchmark.p',theorem_1_56) ).
cnf(c_26,plain,
~ smaller(hazard_of_mortality(sk1,sk3),hazard_of_mortality(sk1,sk2)),
inference(clausify,[status(thm)],[theorem_1_56]) ).
fof(theorem_1_55,axiom,
greater(age(sk1,sk3),age(sk1,sk2)),
file('theBenchmark.p',theorem_1_55) ).
cnf(c_27,plain,
greater(age(sk1,sk3),age(sk1,sk2)),
inference(clausify,[status(thm)],[theorem_1_55]) ).
fof(theorem_1_54,axiom,
~ has_endowment(sk1),
file('theBenchmark.p',theorem_1_54) ).
cnf(c_28,plain,
~ has_endowment(sk1),
inference(clausify,[status(thm)],[theorem_1_54]) ).
fof(definition_greater_or_equal_5,axiom,
! [VAR_0,VAR_1] :
( greater_or_equal(VAR_0,VAR_1)
| ~ greater(VAR_0,VAR_1) ),
file('theBenchmark.p',definition_greater_or_equal_5) ).
cnf(c_35,plain,
( greater_or_equal(A,B)
| ~ greater(A,B) ),
inference(clausify,[status(thm)],[definition_greater_or_equal_5]) ).
fof(definition_smaller_or_equal_3,axiom,
! [VAR_0,VAR_1] :
( smaller_or_equal(VAR_0,VAR_1)
| VAR_0 != VAR_1 ),
file('theBenchmark.p',definition_smaller_or_equal_3) ).
cnf(c_37,plain,
( smaller_or_equal(A,B)
| A != B ),
inference(clausify,[status(thm)],[definition_smaller_or_equal_3]) ).
cnf(c_43,plain,
~ has_immunity(sk1,A),
inference(resolve,[status(thm)],[c_28,c_14]) ).
cnf(c_134,plain,
( smaller(hazard_of_mortality(sk1,A),hazard_of_mortality(sk1,B))
| ~ greater(position(sk1,A),position(sk1,B))
| ~ greater_or_equal(capability(sk1,A),capability(sk1,B))
| has_immunity(sk1,A) ),
inference(resolve,[status(thm)],[c_43,c_16]) ).
cnf(c_46,plain,
( smaller(hazard_of_mortality(sk1,A),hazard_of_mortality(sk1,B))
| ~ greater(position(sk1,A),position(sk1,B))
| ~ greater_or_equal(capability(sk1,A),capability(sk1,B)) ),
inference(resolve,[status(thm)],[c_43,c_134]) ).
cnf(c_49,plain,
( greater(capability(sk1,A),capability(sk1,B))
| ~ smaller_or_equal(internal_friction(sk1,A),internal_friction(sk1,C))
| ~ greater(stock_of_knowledge(sk1,A),stock_of_knowledge(sk1,B)) ),
inference(paramod,[status(thm)],[c_25,c_18]) ).
cnf(c_50,plain,
greater(external_ties(sk1,sk3),external_ties(sk1,sk2)),
inference(resolve,[status(thm)],[c_27,c_24]) ).
cnf(c_51,plain,
greater(stock_of_knowledge(sk1,sk3),stock_of_knowledge(sk1,sk2)),
inference(resolve,[status(thm)],[c_27,c_23]) ).
cnf(c_62,plain,
smaller_or_equal(internal_friction(sk1,A),internal_friction(sk1,B)),
inference(resolve,[status(thm)],[c_37,c_25]) ).
cnf(c_64,plain,
( greater(capability(sk1,A),capability(sk1,B))
| ~ greater(stock_of_knowledge(sk1,A),stock_of_knowledge(sk1,B)) ),
inference(resolve,[status(thm)],[c_62,c_49]) ).
cnf(c_72,plain,
greater(position(sk1,sk3),position(sk1,sk2)),
inference(resolve,[status(thm)],[c_50,c_21]) ).
cnf(c_110,plain,
greater(capability(sk1,sk3),capability(sk1,sk2)),
inference(resolve,[status(thm)],[c_64,c_51]) ).
cnf(c_135,plain,
( smaller(hazard_of_mortality(sk1,sk3),hazard_of_mortality(sk1,sk2))
| ~ greater_or_equal(capability(sk1,sk3),capability(sk1,sk2)) ),
inference(resolve,[status(thm)],[c_46,c_72]) ).
cnf(c_118,plain,
~ greater_or_equal(capability(sk1,sk3),capability(sk1,sk2)),
inference(resolve,[status(thm)],[c_135,c_26]) ).
cnf(c_136,plain,
~ greater(capability(sk1,sk3),capability(sk1,sk2)),
inference(resolve,[status(thm)],[c_35,c_118]) ).
cnf(c_133,plain,
$false,
inference(resolve,[status(thm)],[c_110,c_136]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT046-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.34 % Computer : n006.cluster.edu
% 0.08/0.34 % Model : x86_64 x86_64
% 0.08/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.34 % Memory : 8046.5625MB
% 0.08/0.34 % OS : Linux 6.8.0-71-generic
% 0.08/0.34 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Sat Sep 26 00:08:55 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.35 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.08/0.35 % Process 4092796 was started by sandbox2 on n006,
% 0.08/0.35 % Sat Sep 26 00:08:55 2026
% 0.08/0.35 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.08/0.35
% 0.08/0.35 % From the command line: assign(max_seconds, 300).
% 0.08/0.37
% 0.08/0.37 % SZS status Unsatisfiable for theBenchmark
% 0.08/0.37
% 0.08/0.37 % Proof 1 at 0.01 (+ 0.00) seconds.
% 0.08/0.37 % Length of proof is 31.
% 0.08/0.37 % Level of proof is 5.
% 0.08/0.37 % Maximum clause weight is 37.000.
% 0.08/0.37 % Given clauses 67.
% 0.08/0.37
% 0.08/0.37 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------