%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : MGT042+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 : 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 08:02:56 AM UTC 2026
% Result : Theorem 0.12s 0.43s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 35
% Number of leaves : 8
% Syntax : Number of formulae : 94 ( 19 unt; 0 def)
% Number of atoms : 291 ( 58 equ)
% Maximal formula atoms : 13 ( 3 avg)
% Number of connectives : 289 ( 92 ~; 123 |; 54 &)
% ( 3 <=>; 17 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 3 con; 0-2 aty)
% Number of variables : 80 ( 0 sgn 23 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(definition_smaller_or_equal,axiom,
! [X,Y] :
( smaller_or_equal(X,Y)
<=> ( X = Y
| smaller(X,Y) ) ),
file('theBenchmark.p',definition_smaller_or_equal) ).
fof(definition_greater_or_equal,axiom,
! [X,Y] :
( greater_or_equal(X,Y)
<=> ( X = Y
| greater(X,Y) ) ),
file('theBenchmark.p',definition_greater_or_equal) ).
fof(definition_smaller,axiom,
! [X,Y] :
( smaller(X,Y)
<=> greater(Y,X) ),
file('theBenchmark.p',definition_smaller) ).
fof(meaning_postulate_greater_strict,axiom,
! [X,Y] :
~ ( greater(Y,X)
& greater(X,Y) ),
file('theBenchmark.p',meaning_postulate_greater_strict) ).
fof(assumption_4,axiom,
! [X,T0,T] :
( ( ~ has_immunity(X,T)
& ~ has_immunity(X,T0)
& organization(X) )
=> ( ( ( position(X,T) = position(X,T0)
& capability(X,T) = capability(X,T0) )
=> hazard_of_mortality(X,T) = hazard_of_mortality(X,T0) )
& ( ( greater(position(X,T),position(X,T0))
& greater_or_equal(capability(X,T),capability(X,T0)) )
=> smaller(hazard_of_mortality(X,T),hazard_of_mortality(X,T0)) )
& ( ( greater_or_equal(position(X,T),position(X,T0))
& greater(capability(X,T),capability(X,T0)) )
=> smaller(hazard_of_mortality(X,T),hazard_of_mortality(X,T0)) ) ) ),
file('theBenchmark.p',assumption_4) ).
fof(assumption_5,axiom,
! [X,T0,T] :
( organization(X)
=> ( ( ( internal_friction(X,T) = internal_friction(X,T0)
& stock_of_knowledge(X,T) = stock_of_knowledge(X,T0) )
=> capability(X,T) = capability(X,T0) )
& ( ( greater(internal_friction(X,T),internal_friction(X,T0))
& smaller_or_equal(stock_of_knowledge(X,T),stock_of_knowledge(X,T0)) )
=> smaller(capability(X,T),capability(X,T0)) )
& ( ( smaller_or_equal(internal_friction(X,T),internal_friction(X,T0))
& greater(stock_of_knowledge(X,T),stock_of_knowledge(X,T0)) )
=> greater(capability(X,T),capability(X,T0)) ) ) ),
file('theBenchmark.p',assumption_5) ).
fof(assumption_6,axiom,
! [X,T0,T] :
( organization(X)
=> ( ( external_ties(X,T) = external_ties(X,T0)
=> position(X,T) = position(X,T0) )
& ( greater(external_ties(X,T),external_ties(X,T0))
=> greater(position(X,T),position(X,T0)) ) ) ),
file('theBenchmark.p',assumption_6) ).
fof(lemma_1,conjecture,
! [X,T0,T] :
( ( ~ has_immunity(X,T)
& ~ has_immunity(X,T0)
& organization(X) )
=> ( ( ( greater(external_ties(X,T),external_ties(X,T0))
& smaller_or_equal(internal_friction(X,T),internal_friction(X,T0))
& greater_or_equal(stock_of_knowledge(X,T),stock_of_knowledge(X,T0)) )
=> smaller(hazard_of_mortality(X,T),hazard_of_mortality(X,T0)) )
& ( ( greater_or_equal(external_ties(X,T),external_ties(X,T0))
& smaller_or_equal(internal_friction(X,T),internal_friction(X,T0))
& greater(stock_of_knowledge(X,T),stock_of_knowledge(X,T0)) )
=> smaller(hazard_of_mortality(X,T),hazard_of_mortality(X,T0)) ) ) ),
file('theBenchmark.p',lemma_1) ).
fof(lemma_1_neg,negated_conjecture,
~ ! [X,T0,T] :
( ( ~ has_immunity(X,T)
& ~ has_immunity(X,T0)
& organization(X) )
=> ( ( ( greater(external_ties(X,T),external_ties(X,T0))
& smaller_or_equal(internal_friction(X,T),internal_friction(X,T0))
& greater_or_equal(stock_of_knowledge(X,T),stock_of_knowledge(X,T0)) )
=> smaller(hazard_of_mortality(X,T),hazard_of_mortality(X,T0)) )
& ( ( greater_or_equal(external_ties(X,T),external_ties(X,T0))
& smaller_or_equal(internal_friction(X,T),internal_friction(X,T0))
& greater(stock_of_knowledge(X,T),stock_of_knowledge(X,T0)) )
=> smaller(hazard_of_mortality(X,T),hazard_of_mortality(X,T0)) ) ) ),
inference(assume_negation,[status(cth)],[lemma_1]) ).
fof(nnf_10,plain,
? [X,T0,T] :
( ( ( ~ smaller(hazard_of_mortality(X,T),hazard_of_mortality(X,T0))
& greater(external_ties(X,T),external_ties(X,T0))
& smaller_or_equal(internal_friction(X,T),internal_friction(X,T0))
& greater_or_equal(stock_of_knowledge(X,T),stock_of_knowledge(X,T0)) )
| ( ~ smaller(hazard_of_mortality(X,T),hazard_of_mortality(X,T0))
& greater_or_equal(external_ties(X,T),external_ties(X,T0))
& smaller_or_equal(internal_friction(X,T),internal_friction(X,T0))
& greater(stock_of_knowledge(X,T),stock_of_knowledge(X,T0)) ) )
& ~ has_immunity(X,T)
& ~ has_immunity(X,T0)
& organization(X) ),
inference(fof_nnf,[status(thm)],[lemma_1_neg]) ).
fof(sk_lemma_1_neg_sk,plain,
( ( ( ~ smaller(hazard_of_mortality(sK0,sK1),hazard_of_mortality(sK0,sK2))
& greater(external_ties(sK0,sK1),external_ties(sK0,sK2))
& smaller_or_equal(internal_friction(sK0,sK1),internal_friction(sK0,sK2))
& greater_or_equal(stock_of_knowledge(sK0,sK1),stock_of_knowledge(sK0,sK2)) )
| ( ~ smaller(hazard_of_mortality(sK0,sK1),hazard_of_mortality(sK0,sK2))
& greater_or_equal(external_ties(sK0,sK1),external_ties(sK0,sK2))
& smaller_or_equal(internal_friction(sK0,sK1),internal_friction(sK0,sK2))
& greater(stock_of_knowledge(sK0,sK1),stock_of_knowledge(sK0,sK2)) ) )
& ~ has_immunity(sK0,sK1)
& ~ has_immunity(sK0,sK2)
& organization(sK0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK2,sK1]),skolemize(X,sK0),skolemize(T0,sK2),skolemize(T,sK1)],[nnf_10]) ).
fof(sk_lemma_1_neg,plain,
( ~ smaller(hazard_of_mortality(sK0,sK1),hazard_of_mortality(sK0,sK2))
& ( greater(external_ties(sK0,sK1),external_ties(sK0,sK2))
| greater_or_equal(external_ties(sK0,sK1),external_ties(sK0,sK2)) )
& ( greater_or_equal(stock_of_knowledge(sK0,sK1),stock_of_knowledge(sK0,sK2))
| greater_or_equal(external_ties(sK0,sK1),external_ties(sK0,sK2)) )
& smaller_or_equal(internal_friction(sK0,sK1),internal_friction(sK0,sK2))
& ( greater(external_ties(sK0,sK1),external_ties(sK0,sK2))
| greater(stock_of_knowledge(sK0,sK1),stock_of_knowledge(sK0,sK2)) )
& ( greater_or_equal(stock_of_knowledge(sK0,sK1),stock_of_knowledge(sK0,sK2))
| greater(stock_of_knowledge(sK0,sK1),stock_of_knowledge(sK0,sK2)) )
& ~ has_immunity(sK0,sK1)
& ~ has_immunity(sK0,sK2)
& organization(sK0) ),
inference(cnf_transformation,[status(thm)],[sk_lemma_1_neg_sk]) ).
cnf(c_11,negated_conjecture,
organization(sK0),
inference(split_conjunct,[status(thm)],[sk_lemma_1_neg]) ).
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]) ).
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]) ).
cnf(c_14,plain,
( capability(A,B) = capability(A,C)
| internal_friction(A,B) != internal_friction(A,C)
| stock_of_knowledge(A,B) != stock_of_knowledge(A,C)
| ~ organization(A) ),
inference(clausify,[status(thm)],[assumption_5]) ).
cnf(c_15,plain,
( smaller(capability(A,B),capability(A,C))
| ~ greater(internal_friction(A,B),internal_friction(A,C))
| ~ smaller_or_equal(stock_of_knowledge(A,B),stock_of_knowledge(A,C))
| ~ organization(A) ),
inference(clausify,[status(thm)],[assumption_5]) ).
cnf(c_16,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]) ).
cnf(c_18,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]) ).
cnf(c_19,plain,
( smaller(hazard_of_mortality(A,C),hazard_of_mortality(A,B))
| ~ greater_or_equal(position(A,C),position(A,B))
| ~ greater(capability(A,C),capability(A,B))
| has_immunity(A,C)
| has_immunity(A,B)
| ~ organization(A) ),
inference(clausify,[status(thm)],[assumption_4]) ).
cnf(c_20,negated_conjecture,
( smaller(hazard_of_mortality(sK0,B),hazard_of_mortality(sK0,A))
| ~ greater_or_equal(position(sK0,B),position(sK0,A))
| ~ greater(capability(sK0,B),capability(sK0,A))
| has_immunity(sK0,B)
| has_immunity(sK0,A) ),
inference(resolve,[status(thm)],[c_11,c_19]) ).
cnf(c_21,negated_conjecture,
( smaller(hazard_of_mortality(sK0,B),hazard_of_mortality(sK0,A))
| ~ greater(position(sK0,B),position(sK0,A))
| ~ greater_or_equal(capability(sK0,B),capability(sK0,A))
| has_immunity(sK0,B)
| has_immunity(sK0,A) ),
inference(resolve,[status(thm)],[c_11,c_18]) ).
cnf(c_23,negated_conjecture,
( greater(capability(sK0,A),capability(sK0,B))
| ~ smaller_or_equal(internal_friction(sK0,A),internal_friction(sK0,B))
| ~ greater(stock_of_knowledge(sK0,A),stock_of_knowledge(sK0,B)) ),
inference(resolve,[status(thm)],[c_11,c_16]) ).
cnf(c_24,negated_conjecture,
( smaller(capability(sK0,A),capability(sK0,B))
| ~ greater(internal_friction(sK0,A),internal_friction(sK0,B))
| ~ smaller_or_equal(stock_of_knowledge(sK0,A),stock_of_knowledge(sK0,B)) ),
inference(resolve,[status(thm)],[c_11,c_15]) ).
cnf(c_25,negated_conjecture,
( capability(sK0,A) = capability(sK0,B)
| internal_friction(sK0,A) != internal_friction(sK0,B)
| stock_of_knowledge(sK0,A) != stock_of_knowledge(sK0,B) ),
inference(resolve,[status(thm)],[c_11,c_14]) ).
cnf(c_26,negated_conjecture,
( greater(position(sK0,A),position(sK0,B))
| ~ greater(external_ties(sK0,A),external_ties(sK0,B)) ),
inference(resolve,[status(thm)],[c_11,c_13]) ).
cnf(c_27,negated_conjecture,
( position(sK0,A) = position(sK0,B)
| external_ties(sK0,A) != external_ties(sK0,B) ),
inference(resolve,[status(thm)],[c_11,c_12]) ).
cnf(c_28,negated_conjecture,
~ smaller(hazard_of_mortality(sK0,sK1),hazard_of_mortality(sK0,sK2)),
inference(split_conjunct,[status(thm)],[sk_lemma_1_neg]) ).
cnf(c_29,negated_conjecture,
( greater(external_ties(sK0,sK1),external_ties(sK0,sK2))
| greater_or_equal(external_ties(sK0,sK1),external_ties(sK0,sK2)) ),
inference(split_conjunct,[status(thm)],[sk_lemma_1_neg]) ).
cnf(c_31,negated_conjecture,
smaller_or_equal(internal_friction(sK0,sK1),internal_friction(sK0,sK2)),
inference(split_conjunct,[status(thm)],[sk_lemma_1_neg]) ).
cnf(c_32,negated_conjecture,
( greater(external_ties(sK0,sK1),external_ties(sK0,sK2))
| greater(stock_of_knowledge(sK0,sK1),stock_of_knowledge(sK0,sK2)) ),
inference(split_conjunct,[status(thm)],[sk_lemma_1_neg]) ).
cnf(c_33,negated_conjecture,
( greater_or_equal(stock_of_knowledge(sK0,sK1),stock_of_knowledge(sK0,sK2))
| greater(stock_of_knowledge(sK0,sK1),stock_of_knowledge(sK0,sK2)) ),
inference(split_conjunct,[status(thm)],[sk_lemma_1_neg]) ).
cnf(c_34,negated_conjecture,
~ has_immunity(sK0,sK1),
inference(split_conjunct,[status(thm)],[sk_lemma_1_neg]) ).
cnf(c_35,negated_conjecture,
~ has_immunity(sK0,sK2),
inference(split_conjunct,[status(thm)],[sk_lemma_1_neg]) ).
cnf(c_38,plain,
( ~ greater(B,A)
| ~ greater(A,B) ),
inference(clausify,[status(thm)],[meaning_postulate_greater_strict]) ).
cnf(c_40,plain,
( greater(B,A)
| ~ smaller(A,B) ),
inference(clausify,[status(thm)],[definition_smaller]) ).
cnf(c_41,plain,
( B != A
| greater_or_equal(A,B) ),
inference(clausify,[status(thm)],[definition_greater_or_equal]) ).
cnf(c_42,plain,
( ~ greater(A,B)
| greater_or_equal(A,B) ),
inference(clausify,[status(thm)],[definition_greater_or_equal]) ).
cnf(c_43,plain,
( B = A
| greater(A,B)
| ~ greater_or_equal(A,B) ),
inference(clausify,[status(thm)],[definition_greater_or_equal]) ).
cnf(c_44,plain,
( B != A
| smaller_or_equal(A,B) ),
inference(clausify,[status(thm)],[definition_smaller_or_equal]) ).
cnf(c_46,plain,
( B = A
| smaller(A,B)
| ~ smaller_or_equal(A,B) ),
inference(clausify,[status(thm)],[definition_smaller_or_equal]) ).
cnf(c_49,plain,
~ greater(A,A),
inference(factor,[status(thm)],[c_38]) ).
cnf(c_50,plain,
( greater(capability(sK0,sK1),capability(sK0,sK2))
| ~ greater(stock_of_knowledge(sK0,sK1),stock_of_knowledge(sK0,sK2)) ),
inference(resolve,[status(thm)],[c_31,c_23]) ).
cnf(c_51,plain,
( greater(position(sK0,sK1),position(sK0,sK2))
| greater(stock_of_knowledge(sK0,sK1),stock_of_knowledge(sK0,sK2)) ),
inference(resolve,[status(thm)],[c_32,c_26]) ).
cnf(c_279,negated_conjecture,
( greater(stock_of_knowledge(sK0,sK1),stock_of_knowledge(sK0,sK2))
| stock_of_knowledge(sK0,sK2) = stock_of_knowledge(sK0,sK1)
| greater(stock_of_knowledge(sK0,sK1),stock_of_knowledge(sK0,sK2)) ),
inference(resolve,[status(thm)],[c_43,c_33]) ).
cnf(c_280,negated_conjecture,
( greater(stock_of_knowledge(sK0,sK1),stock_of_knowledge(sK0,sK2))
| stock_of_knowledge(sK0,sK1) = stock_of_knowledge(sK0,sK2)
| greater(stock_of_knowledge(sK0,sK1),stock_of_knowledge(sK0,sK2)) ),
inference(copy,[status(thm)],[c_279]) ).
cnf(c_61,negated_conjecture,
( stock_of_knowledge(sK0,sK1) = stock_of_knowledge(sK0,sK2)
| greater(stock_of_knowledge(sK0,sK1),stock_of_knowledge(sK0,sK2)) ),
inference(copy,[status(thm)],[c_280]) ).
cnf(c_281,negated_conjecture,
( greater(external_ties(sK0,sK1),external_ties(sK0,sK2))
| external_ties(sK0,sK2) = external_ties(sK0,sK1)
| greater(external_ties(sK0,sK1),external_ties(sK0,sK2)) ),
inference(resolve,[status(thm)],[c_43,c_29]) ).
cnf(c_282,negated_conjecture,
( greater(external_ties(sK0,sK1),external_ties(sK0,sK2))
| external_ties(sK0,sK1) = external_ties(sK0,sK2)
| greater(external_ties(sK0,sK1),external_ties(sK0,sK2)) ),
inference(copy,[status(thm)],[c_281]) ).
cnf(c_63,negated_conjecture,
( external_ties(sK0,sK1) = external_ties(sK0,sK2)
| greater(external_ties(sK0,sK1),external_ties(sK0,sK2)) ),
inference(copy,[status(thm)],[c_282]) ).
cnf(c_64,plain,
smaller_or_equal(A,A),
inference(xxres,[status(thm)],[c_44]) ).
cnf(c_283,negated_conjecture,
( internal_friction(sK0,sK2) = internal_friction(sK0,sK1)
| smaller(internal_friction(sK0,sK1),internal_friction(sK0,sK2)) ),
inference(resolve,[status(thm)],[c_46,c_31]) ).
cnf(c_66,negated_conjecture,
( internal_friction(sK0,sK1) = internal_friction(sK0,sK2)
| smaller(internal_friction(sK0,sK1),internal_friction(sK0,sK2)) ),
inference(copy,[status(thm)],[c_283]) ).
cnf(c_80,plain,
( greater_or_equal(position(sK0,sK1),position(sK0,sK2))
| greater(stock_of_knowledge(sK0,sK1),stock_of_knowledge(sK0,sK2)) ),
inference(resolve,[status(thm)],[c_51,c_42]) ).
cnf(c_109,plain,
( greater(capability(sK0,sK1),capability(sK0,sK2))
| stock_of_knowledge(sK0,sK1) = stock_of_knowledge(sK0,sK2) ),
inference(resolve,[status(thm)],[c_61,c_50]) ).
cnf(c_122,plain,
( greater(position(sK0,sK1),position(sK0,sK2))
| external_ties(sK0,sK1) = external_ties(sK0,sK2) ),
inference(resolve,[status(thm)],[c_63,c_26]) ).
cnf(c_123,plain,
( greater(internal_friction(sK0,sK2),internal_friction(sK0,sK1))
| internal_friction(sK0,sK1) = internal_friction(sK0,sK2) ),
inference(resolve,[status(thm)],[c_66,c_40]) ).
cnf(c_284,negated_conjecture,
( smaller(hazard_of_mortality(sK0,sK1),hazard_of_mortality(sK0,sK2))
| ~ greater(capability(sK0,sK1),capability(sK0,sK2))
| has_immunity(sK0,sK1)
| has_immunity(sK0,sK2)
| greater(stock_of_knowledge(sK0,sK1),stock_of_knowledge(sK0,sK2)) ),
inference(resolve,[status(thm)],[c_80,c_20]) ).
cnf(c_285,negated_conjecture,
( smaller(hazard_of_mortality(sK0,sK1),hazard_of_mortality(sK0,sK2))
| ~ greater(capability(sK0,sK1),capability(sK0,sK2))
| has_immunity(sK0,sK1)
| greater(stock_of_knowledge(sK0,sK1),stock_of_knowledge(sK0,sK2)) ),
inference(resolve,[status(thm)],[c_35,c_284]) ).
cnf(c_286,negated_conjecture,
( smaller(hazard_of_mortality(sK0,sK1),hazard_of_mortality(sK0,sK2))
| ~ greater(capability(sK0,sK1),capability(sK0,sK2))
| greater(stock_of_knowledge(sK0,sK1),stock_of_knowledge(sK0,sK2)) ),
inference(resolve,[status(thm)],[c_34,c_285]) ).
cnf(c_124,negated_conjecture,
( ~ greater(capability(sK0,sK1),capability(sK0,sK2))
| greater(stock_of_knowledge(sK0,sK1),stock_of_knowledge(sK0,sK2)) ),
inference(resolve,[status(thm)],[c_28,c_286]) ).
cnf(c_158,plain,
( greater_or_equal(capability(sK0,sK1),capability(sK0,sK2))
| stock_of_knowledge(sK0,sK1) = stock_of_knowledge(sK0,sK2) ),
inference(resolve,[status(thm)],[c_109,c_42]) ).
cnf(c_287,negated_conjecture,
( smaller(hazard_of_mortality(sK0,sK1),hazard_of_mortality(sK0,sK2))
| ~ greater(position(sK0,sK1),position(sK0,sK2))
| has_immunity(sK0,sK1)
| has_immunity(sK0,sK2)
| stock_of_knowledge(sK0,sK1) = stock_of_knowledge(sK0,sK2) ),
inference(resolve,[status(thm)],[c_158,c_21]) ).
cnf(c_288,negated_conjecture,
( smaller(hazard_of_mortality(sK0,sK1),hazard_of_mortality(sK0,sK2))
| ~ greater(position(sK0,sK1),position(sK0,sK2))
| has_immunity(sK0,sK1)
| stock_of_knowledge(sK0,sK1) = stock_of_knowledge(sK0,sK2) ),
inference(resolve,[status(thm)],[c_35,c_287]) ).
cnf(c_289,negated_conjecture,
( smaller(hazard_of_mortality(sK0,sK1),hazard_of_mortality(sK0,sK2))
| ~ greater(position(sK0,sK1),position(sK0,sK2))
| stock_of_knowledge(sK0,sK1) = stock_of_knowledge(sK0,sK2) ),
inference(resolve,[status(thm)],[c_34,c_288]) ).
cnf(c_184,negated_conjecture,
( ~ greater(position(sK0,sK1),position(sK0,sK2))
| stock_of_knowledge(sK0,sK1) = stock_of_knowledge(sK0,sK2) ),
inference(resolve,[status(thm)],[c_28,c_289]) ).
cnf(c_194,plain,
( external_ties(sK0,sK1) = external_ties(sK0,sK2)
| stock_of_knowledge(sK0,sK1) = stock_of_knowledge(sK0,sK2) ),
inference(resolve,[status(thm)],[c_184,c_122]) ).
cnf(c_199,plain,
( position(sK0,sK1) = position(sK0,sK2)
| stock_of_knowledge(sK0,sK1) = stock_of_knowledge(sK0,sK2) ),
inference(resolve,[status(thm)],[c_194,c_27]) ).
cnf(c_290,plain,
( A != B
| greater_or_equal(A,B) ),
inference(copy,[status(thm)],[c_41]) ).
cnf(c_214,plain,
( greater_or_equal(position(sK0,sK1),position(sK0,sK2))
| stock_of_knowledge(sK0,sK1) = stock_of_knowledge(sK0,sK2) ),
inference(resolve,[status(thm)],[c_199,c_290]) ).
cnf(c_291,negated_conjecture,
( smaller(hazard_of_mortality(sK0,sK1),hazard_of_mortality(sK0,sK2))
| ~ greater(capability(sK0,sK1),capability(sK0,sK2))
| has_immunity(sK0,sK1)
| has_immunity(sK0,sK2)
| stock_of_knowledge(sK0,sK1) = stock_of_knowledge(sK0,sK2) ),
inference(resolve,[status(thm)],[c_214,c_20]) ).
cnf(c_292,negated_conjecture,
( smaller(hazard_of_mortality(sK0,sK1),hazard_of_mortality(sK0,sK2))
| ~ greater(capability(sK0,sK1),capability(sK0,sK2))
| has_immunity(sK0,sK1)
| stock_of_knowledge(sK0,sK1) = stock_of_knowledge(sK0,sK2) ),
inference(resolve,[status(thm)],[c_35,c_291]) ).
cnf(c_293,negated_conjecture,
( smaller(hazard_of_mortality(sK0,sK1),hazard_of_mortality(sK0,sK2))
| ~ greater(capability(sK0,sK1),capability(sK0,sK2))
| stock_of_knowledge(sK0,sK1) = stock_of_knowledge(sK0,sK2) ),
inference(resolve,[status(thm)],[c_34,c_292]) ).
cnf(c_222,negated_conjecture,
( ~ greater(capability(sK0,sK1),capability(sK0,sK2))
| stock_of_knowledge(sK0,sK1) = stock_of_knowledge(sK0,sK2) ),
inference(resolve,[status(thm)],[c_28,c_293]) ).
cnf(c_294,plain,
( stock_of_knowledge(sK0,sK1) = stock_of_knowledge(sK0,sK2)
| stock_of_knowledge(sK0,sK1) = stock_of_knowledge(sK0,sK2) ),
inference(resolve,[status(thm)],[c_222,c_109]) ).
cnf(c_225,plain,
stock_of_knowledge(sK0,sK1) = stock_of_knowledge(sK0,sK2),
inference(copy,[status(thm)],[c_294]) ).
cnf(c_295,negated_conjecture,
( ~ greater(capability(sK0,sK1),capability(sK0,sK2))
| greater(stock_of_knowledge(sK0,sK2),stock_of_knowledge(sK0,sK2)) ),
inference(paramod,[status(thm)],[c_225,c_124]) ).
cnf(c_232,negated_conjecture,
~ greater(capability(sK0,sK1),capability(sK0,sK2)),
inference(resolve,[status(thm)],[c_49,c_295]) ).
cnf(c_296,plain,
( greater(position(sK0,sK1),position(sK0,sK2))
| greater(stock_of_knowledge(sK0,sK2),stock_of_knowledge(sK0,sK2)) ),
inference(paramod,[status(thm)],[c_225,c_51]) ).
cnf(c_248,plain,
greater(position(sK0,sK1),position(sK0,sK2)),
inference(resolve,[status(thm)],[c_49,c_296]) ).
cnf(c_256,plain,
~ smaller(capability(sK0,sK2),capability(sK0,sK1)),
inference(resolve,[status(thm)],[c_40,c_232]) ).
cnf(c_297,negated_conjecture,
( smaller(hazard_of_mortality(sK0,A),hazard_of_mortality(sK0,sK2))
| ~ greater(position(sK0,A),position(sK0,sK2))
| ~ greater_or_equal(capability(sK0,A),capability(sK0,sK2))
| has_immunity(sK0,A) ),
inference(resolve,[status(thm)],[c_21,c_35]) ).
cnf(c_298,negated_conjecture,
( smaller(hazard_of_mortality(sK0,sK1),hazard_of_mortality(sK0,sK2))
| ~ greater(position(sK0,sK1),position(sK0,sK2))
| ~ greater_or_equal(capability(sK0,sK1),capability(sK0,sK2)) ),
inference(resolve,[status(thm)],[c_297,c_34]) ).
cnf(c_299,negated_conjecture,
( smaller(hazard_of_mortality(sK0,sK1),hazard_of_mortality(sK0,sK2))
| ~ greater_or_equal(capability(sK0,sK1),capability(sK0,sK2)) ),
inference(resolve,[status(thm)],[c_298,c_248]) ).
cnf(c_259,negated_conjecture,
~ greater_or_equal(capability(sK0,sK1),capability(sK0,sK2)),
inference(resolve,[status(thm)],[c_299,c_28]) ).
cnf(c_300,plain,
capability(sK0,sK2) != capability(sK0,sK1),
inference(resolve,[status(thm)],[c_41,c_259]) ).
cnf(c_260,plain,
capability(sK0,sK1) != capability(sK0,sK2),
inference(copy,[status(thm)],[c_300]) ).
cnf(c_301,negated_conjecture,
( capability(sK0,sK1) = capability(sK0,sK2)
| internal_friction(sK0,sK1) != internal_friction(sK0,sK2) ),
inference(resolve,[status(thm)],[c_25,c_225]) ).
cnf(c_263,negated_conjecture,
internal_friction(sK0,sK1) != internal_friction(sK0,sK2),
inference(resolve,[status(thm)],[c_301,c_260]) ).
cnf(c_270,plain,
greater(internal_friction(sK0,sK2),internal_friction(sK0,sK1)),
inference(resolve,[status(thm)],[c_263,c_123]) ).
cnf(c_302,negated_conjecture,
( smaller(capability(sK0,sK2),capability(sK0,sK1))
| ~ smaller_or_equal(stock_of_knowledge(sK0,sK2),stock_of_knowledge(sK0,sK1)) ),
inference(resolve,[status(thm)],[c_24,c_270]) ).
cnf(c_303,negated_conjecture,
~ smaller_or_equal(stock_of_knowledge(sK0,sK2),stock_of_knowledge(sK0,sK1)),
inference(resolve,[status(thm)],[c_302,c_256]) ).
cnf(c_304,negated_conjecture,
~ smaller_or_equal(stock_of_knowledge(sK0,sK2),stock_of_knowledge(sK0,sK2)),
inference(paramod,[status(thm)],[c_225,c_303]) ).
cnf(c_278,negated_conjecture,
$false,
inference(resolve,[status(thm)],[c_64,c_304]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT042+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n008.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 00:09:39 UTC 2026
% 0.12/0.36 % CPUTime :
% 0.12/0.36 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.12/0.36 % Process 2236848 was started by sandbox2 on n008,
% 0.12/0.36 % Sat Sep 26 00:09:39 2026
% 0.12/0.36 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.12/0.37
% 0.12/0.37 % From the command line: assign(max_seconds, 300).
% 0.12/0.43
% 0.12/0.43 % SZS status Theorem for theBenchmark
% 0.12/0.43
% 0.12/0.43 % Proof 1 at 0.03 (+ 0.01) seconds.
% 0.12/0.43 % Length of proof is 64.
% 0.12/0.43 % Level of proof is 17.
% 0.12/0.43 % Maximum clause weight is 27.000.
% 0.12/0.43 % Given clauses 134.
% 0.12/0.43
% 0.12/0.43 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------