%------------------------------------------------------------------------------
% 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/sandbox/benchmark/theBenchmark.p
% Computer : n004.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 0.15s 0.49s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 29
% Number of leaves : 22
% Syntax : Number of formulae : 101 ( 21 unt; 0 def)
% Number of atoms : 249 ( 52 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 252 ( 104 ~; 148 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 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 : 87 ( 0 sgn 35 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(lemma_1_46,axiom,
organization(sk1),
file('theBenchmark.p',lemma_1_46) ).
cnf(c_1,plain,
organization(sk1),
inference(clausify,[status(thm)],[lemma_1_46]) ).
fof(assumption_6_45,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_45) ).
cnf(c_2,plain,
( position(A,B) = position(A,C)
| external_ties(A,B) != external_ties(A,C)
| ~ organization(A) ),
inference(clausify,[status(thm)],[assumption_6_45]) ).
fof(assumption_6_44,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_44) ).
cnf(c_3,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_44]) ).
fof(assumption_5_43,axiom,
! [VAR_0,VAR_1,VAR_2] :
( capability(VAR_0,VAR_1) = capability(VAR_0,VAR_2)
| internal_friction(VAR_0,VAR_1) != internal_friction(VAR_0,VAR_2)
| stock_of_knowledge(VAR_0,VAR_1) != stock_of_knowledge(VAR_0,VAR_2)
| ~ organization(VAR_0) ),
file('theBenchmark.p',assumption_5_43) ).
cnf(c_4,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_43]) ).
fof(assumption_5_42,axiom,
! [VAR_0,VAR_1,VAR_2] :
( smaller(capability(VAR_0,VAR_1),capability(VAR_0,VAR_2))
| ~ greater(internal_friction(VAR_0,VAR_1),internal_friction(VAR_0,VAR_2))
| ~ smaller_or_equal(stock_of_knowledge(VAR_0,VAR_1),stock_of_knowledge(VAR_0,VAR_2))
| ~ organization(VAR_0) ),
file('theBenchmark.p',assumption_5_42) ).
cnf(c_5,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_42]) ).
fof(assumption_5_41,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_41) ).
cnf(c_6,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_41]) ).
fof(assumption_4_39,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_39) ).
cnf(c_8,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_39]) ).
fof(assumption_4_38,axiom,
! [VAR_0,VAR_1,VAR_2] :
( smaller(hazard_of_mortality(VAR_0,VAR_2),hazard_of_mortality(VAR_0,VAR_1))
| ~ greater_or_equal(position(VAR_0,VAR_2),position(VAR_0,VAR_1))
| ~ greater(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_38) ).
cnf(c_9,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_38]) ).
cnf(c_10,plain,
( smaller(hazard_of_mortality(sk1,B),hazard_of_mortality(sk1,A))
| ~ greater_or_equal(position(sk1,B),position(sk1,A))
| ~ greater(capability(sk1,B),capability(sk1,A))
| has_immunity(sk1,B)
| has_immunity(sk1,A) ),
inference(resolve,[status(thm)],[c_1,c_9]) ).
cnf(c_11,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_8]) ).
cnf(c_13,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_6]) ).
cnf(c_14,plain,
( smaller(capability(sk1,A),capability(sk1,B))
| ~ greater(internal_friction(sk1,A),internal_friction(sk1,B))
| ~ smaller_or_equal(stock_of_knowledge(sk1,A),stock_of_knowledge(sk1,B)) ),
inference(resolve,[status(thm)],[c_1,c_5]) ).
cnf(c_15,plain,
( capability(sk1,A) = capability(sk1,B)
| internal_friction(sk1,A) != internal_friction(sk1,B)
| stock_of_knowledge(sk1,A) != stock_of_knowledge(sk1,B) ),
inference(resolve,[status(thm)],[c_1,c_4]) ).
cnf(c_16,plain,
( greater(position(sk1,A),position(sk1,B))
| ~ greater(external_ties(sk1,A),external_ties(sk1,B)) ),
inference(resolve,[status(thm)],[c_1,c_3]) ).
cnf(c_17,plain,
( position(sk1,A) = position(sk1,B)
| external_ties(sk1,A) != external_ties(sk1,B) ),
inference(resolve,[status(thm)],[c_1,c_2]) ).
fof(lemma_1_64,axiom,
( ~ smaller(hazard_of_mortality(sk1,sk3),hazard_of_mortality(sk1,sk2))
| ~ smaller(hazard_of_mortality(sk1,sk3),hazard_of_mortality(sk1,sk2)) ),
file('theBenchmark.p',lemma_1_64) ).
cnf(c_18,plain,
( ~ smaller(hazard_of_mortality(sk1,sk3),hazard_of_mortality(sk1,sk2))
| ~ smaller(hazard_of_mortality(sk1,sk3),hazard_of_mortality(sk1,sk2)) ),
inference(clausify,[status(thm)],[lemma_1_64]) ).
cnf(c_19,plain,
~ smaller(hazard_of_mortality(sk1,sk3),hazard_of_mortality(sk1,sk2)),
inference(copy,[status(thm)],[c_18]) ).
fof(lemma_1_57,axiom,
( greater(external_ties(sk1,sk3),external_ties(sk1,sk2))
| greater_or_equal(external_ties(sk1,sk3),external_ties(sk1,sk2)) ),
file('theBenchmark.p',lemma_1_57) ).
cnf(c_20,plain,
( greater(external_ties(sk1,sk3),external_ties(sk1,sk2))
| greater_or_equal(external_ties(sk1,sk3),external_ties(sk1,sk2)) ),
inference(clausify,[status(thm)],[lemma_1_57]) ).
fof(lemma_1_54,axiom,
( smaller_or_equal(internal_friction(sk1,sk3),internal_friction(sk1,sk2))
| smaller_or_equal(internal_friction(sk1,sk3),internal_friction(sk1,sk2)) ),
file('theBenchmark.p',lemma_1_54) ).
cnf(c_23,plain,
( smaller_or_equal(internal_friction(sk1,sk3),internal_friction(sk1,sk2))
| smaller_or_equal(internal_friction(sk1,sk3),internal_friction(sk1,sk2)) ),
inference(clausify,[status(thm)],[lemma_1_54]) ).
cnf(c_24,plain,
smaller_or_equal(internal_friction(sk1,sk3),internal_friction(sk1,sk2)),
inference(copy,[status(thm)],[c_23]) ).
fof(lemma_1_51,axiom,
( greater(external_ties(sk1,sk3),external_ties(sk1,sk2))
| greater(stock_of_knowledge(sk1,sk3),stock_of_knowledge(sk1,sk2)) ),
file('theBenchmark.p',lemma_1_51) ).
cnf(c_26,plain,
( greater(external_ties(sk1,sk3),external_ties(sk1,sk2))
| greater(stock_of_knowledge(sk1,sk3),stock_of_knowledge(sk1,sk2)) ),
inference(clausify,[status(thm)],[lemma_1_51]) ).
fof(lemma_1_49,axiom,
( greater_or_equal(stock_of_knowledge(sk1,sk3),stock_of_knowledge(sk1,sk2))
| greater(stock_of_knowledge(sk1,sk3),stock_of_knowledge(sk1,sk2)) ),
file('theBenchmark.p',lemma_1_49) ).
cnf(c_27,plain,
( greater_or_equal(stock_of_knowledge(sk1,sk3),stock_of_knowledge(sk1,sk2))
| greater(stock_of_knowledge(sk1,sk3),stock_of_knowledge(sk1,sk2)) ),
inference(clausify,[status(thm)],[lemma_1_49]) ).
fof(lemma_1_48,axiom,
~ has_immunity(sk1,sk3),
file('theBenchmark.p',lemma_1_48) ).
cnf(c_28,plain,
~ has_immunity(sk1,sk3),
inference(clausify,[status(thm)],[lemma_1_48]) ).
fof(lemma_1_47,axiom,
~ has_immunity(sk1,sk2),
file('theBenchmark.p',lemma_1_47) ).
cnf(c_29,plain,
~ has_immunity(sk1,sk2),
inference(clausify,[status(thm)],[lemma_1_47]) ).
fof(meaning_postulate_greater_strict_9,axiom,
! [VAR_0,VAR_1] :
( ~ greater(VAR_1,VAR_0)
| ~ greater(VAR_0,VAR_1) ),
file('theBenchmark.p',meaning_postulate_greater_strict_9) ).
cnf(c_32,plain,
( ~ greater(B,A)
| ~ greater(A,B) ),
inference(clausify,[status(thm)],[meaning_postulate_greater_strict_9]) ).
fof(definition_smaller_7,axiom,
! [VAR_0,VAR_1] :
( greater(VAR_1,VAR_0)
| ~ smaller(VAR_0,VAR_1) ),
file('theBenchmark.p',definition_smaller_7) ).
cnf(c_34,plain,
( greater(B,A)
| ~ smaller(A,B) ),
inference(clausify,[status(thm)],[definition_smaller_7]) ).
fof(definition_greater_or_equal_6,axiom,
! [VAR_0,VAR_1] :
( greater_or_equal(VAR_0,VAR_1)
| VAR_0 != VAR_1 ),
file('theBenchmark.p',definition_greater_or_equal_6) ).
cnf(c_35,plain,
( greater_or_equal(A,B)
| A != B ),
inference(clausify,[status(thm)],[definition_greater_or_equal_6]) ).
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_36,plain,
( greater_or_equal(A,B)
| ~ greater(A,B) ),
inference(clausify,[status(thm)],[definition_greater_or_equal_5]) ).
fof(definition_greater_or_equal_4,axiom,
! [VAR_0,VAR_1] :
( VAR_0 = VAR_1
| greater(VAR_0,VAR_1)
| ~ greater_or_equal(VAR_0,VAR_1) ),
file('theBenchmark.p',definition_greater_or_equal_4) ).
cnf(c_37,plain,
( A = B
| greater(A,B)
| ~ greater_or_equal(A,B) ),
inference(clausify,[status(thm)],[definition_greater_or_equal_4]) ).
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_38,plain,
( smaller_or_equal(A,B)
| A != B ),
inference(clausify,[status(thm)],[definition_smaller_or_equal_3]) ).
fof(definition_smaller_or_equal_1,axiom,
! [VAR_0,VAR_1] :
( VAR_0 = VAR_1
| smaller(VAR_0,VAR_1)
| ~ smaller_or_equal(VAR_0,VAR_1) ),
file('theBenchmark.p',definition_smaller_or_equal_1) ).
cnf(c_40,plain,
( A = B
| smaller(A,B)
| ~ smaller_or_equal(A,B) ),
inference(clausify,[status(thm)],[definition_smaller_or_equal_1]) ).
cnf(c_43,plain,
~ greater(A,A),
inference(factor,[status(thm)],[c_32]) ).
cnf(c_44,plain,
( greater(capability(sk1,sk3),capability(sk1,sk2))
| ~ greater(stock_of_knowledge(sk1,sk3),stock_of_knowledge(sk1,sk2)) ),
inference(resolve,[status(thm)],[c_24,c_13]) ).
cnf(c_45,plain,
( greater(position(sk1,sk3),position(sk1,sk2))
| greater(stock_of_knowledge(sk1,sk3),stock_of_knowledge(sk1,sk2)) ),
inference(resolve,[status(thm)],[c_26,c_16]) ).
cnf(c_277,plain,
( greater(stock_of_knowledge(sk1,sk3),stock_of_knowledge(sk1,sk2))
| stock_of_knowledge(sk1,sk3) = stock_of_knowledge(sk1,sk2)
| greater(stock_of_knowledge(sk1,sk3),stock_of_knowledge(sk1,sk2)) ),
inference(resolve,[status(thm)],[c_37,c_27]) ).
cnf(c_55,plain,
( stock_of_knowledge(sk1,sk3) = stock_of_knowledge(sk1,sk2)
| greater(stock_of_knowledge(sk1,sk3),stock_of_knowledge(sk1,sk2)) ),
inference(copy,[status(thm)],[c_277]) ).
cnf(c_278,plain,
( greater(external_ties(sk1,sk3),external_ties(sk1,sk2))
| external_ties(sk1,sk3) = external_ties(sk1,sk2)
| greater(external_ties(sk1,sk3),external_ties(sk1,sk2)) ),
inference(resolve,[status(thm)],[c_37,c_20]) ).
cnf(c_57,plain,
( external_ties(sk1,sk3) = external_ties(sk1,sk2)
| greater(external_ties(sk1,sk3),external_ties(sk1,sk2)) ),
inference(copy,[status(thm)],[c_278]) ).
cnf(c_58,plain,
smaller_or_equal(A,A),
inference(xxres,[status(thm)],[c_38]) ).
cnf(c_60,plain,
( internal_friction(sk1,sk3) = internal_friction(sk1,sk2)
| smaller(internal_friction(sk1,sk3),internal_friction(sk1,sk2)) ),
inference(resolve,[status(thm)],[c_40,c_24]) ).
cnf(c_74,plain,
( greater_or_equal(position(sk1,sk3),position(sk1,sk2))
| greater(stock_of_knowledge(sk1,sk3),stock_of_knowledge(sk1,sk2)) ),
inference(resolve,[status(thm)],[c_45,c_36]) ).
cnf(c_103,plain,
( greater(capability(sk1,sk3),capability(sk1,sk2))
| stock_of_knowledge(sk1,sk3) = stock_of_knowledge(sk1,sk2) ),
inference(resolve,[status(thm)],[c_55,c_44]) ).
cnf(c_116,plain,
( greater(position(sk1,sk3),position(sk1,sk2))
| external_ties(sk1,sk3) = external_ties(sk1,sk2) ),
inference(resolve,[status(thm)],[c_57,c_16]) ).
cnf(c_117,plain,
( greater(internal_friction(sk1,sk2),internal_friction(sk1,sk3))
| internal_friction(sk1,sk3) = internal_friction(sk1,sk2) ),
inference(resolve,[status(thm)],[c_60,c_34]) ).
cnf(c_279,plain,
( smaller(hazard_of_mortality(sk1,sk3),hazard_of_mortality(sk1,sk2))
| ~ greater(capability(sk1,sk3),capability(sk1,sk2))
| has_immunity(sk1,sk3)
| has_immunity(sk1,sk2)
| greater(stock_of_knowledge(sk1,sk3),stock_of_knowledge(sk1,sk2)) ),
inference(resolve,[status(thm)],[c_74,c_10]) ).
cnf(c_280,plain,
( smaller(hazard_of_mortality(sk1,sk3),hazard_of_mortality(sk1,sk2))
| ~ greater(capability(sk1,sk3),capability(sk1,sk2))
| has_immunity(sk1,sk3)
| greater(stock_of_knowledge(sk1,sk3),stock_of_knowledge(sk1,sk2)) ),
inference(resolve,[status(thm)],[c_29,c_279]) ).
cnf(c_281,plain,
( smaller(hazard_of_mortality(sk1,sk3),hazard_of_mortality(sk1,sk2))
| ~ greater(capability(sk1,sk3),capability(sk1,sk2))
| greater(stock_of_knowledge(sk1,sk3),stock_of_knowledge(sk1,sk2)) ),
inference(resolve,[status(thm)],[c_28,c_280]) ).
cnf(c_118,plain,
( ~ greater(capability(sk1,sk3),capability(sk1,sk2))
| greater(stock_of_knowledge(sk1,sk3),stock_of_knowledge(sk1,sk2)) ),
inference(resolve,[status(thm)],[c_19,c_281]) ).
cnf(c_152,plain,
( greater_or_equal(capability(sk1,sk3),capability(sk1,sk2))
| stock_of_knowledge(sk1,sk3) = stock_of_knowledge(sk1,sk2) ),
inference(resolve,[status(thm)],[c_103,c_36]) ).
cnf(c_282,plain,
( smaller(hazard_of_mortality(sk1,sk3),hazard_of_mortality(sk1,sk2))
| ~ greater(position(sk1,sk3),position(sk1,sk2))
| has_immunity(sk1,sk3)
| has_immunity(sk1,sk2)
| stock_of_knowledge(sk1,sk3) = stock_of_knowledge(sk1,sk2) ),
inference(resolve,[status(thm)],[c_152,c_11]) ).
cnf(c_283,plain,
( smaller(hazard_of_mortality(sk1,sk3),hazard_of_mortality(sk1,sk2))
| ~ greater(position(sk1,sk3),position(sk1,sk2))
| has_immunity(sk1,sk3)
| stock_of_knowledge(sk1,sk3) = stock_of_knowledge(sk1,sk2) ),
inference(resolve,[status(thm)],[c_29,c_282]) ).
cnf(c_284,plain,
( smaller(hazard_of_mortality(sk1,sk3),hazard_of_mortality(sk1,sk2))
| ~ greater(position(sk1,sk3),position(sk1,sk2))
| stock_of_knowledge(sk1,sk3) = stock_of_knowledge(sk1,sk2) ),
inference(resolve,[status(thm)],[c_28,c_283]) ).
cnf(c_178,plain,
( ~ greater(position(sk1,sk3),position(sk1,sk2))
| stock_of_knowledge(sk1,sk3) = stock_of_knowledge(sk1,sk2) ),
inference(resolve,[status(thm)],[c_19,c_284]) ).
cnf(c_188,plain,
( external_ties(sk1,sk3) = external_ties(sk1,sk2)
| stock_of_knowledge(sk1,sk3) = stock_of_knowledge(sk1,sk2) ),
inference(resolve,[status(thm)],[c_178,c_116]) ).
cnf(c_193,plain,
( position(sk1,sk3) = position(sk1,sk2)
| stock_of_knowledge(sk1,sk3) = stock_of_knowledge(sk1,sk2) ),
inference(resolve,[status(thm)],[c_188,c_17]) ).
cnf(c_205,plain,
( greater_or_equal(position(sk1,sk3),position(sk1,sk2))
| stock_of_knowledge(sk1,sk3) = stock_of_knowledge(sk1,sk2) ),
inference(resolve,[status(thm)],[c_193,c_35]) ).
cnf(c_285,plain,
( smaller(hazard_of_mortality(sk1,sk3),hazard_of_mortality(sk1,sk2))
| ~ greater(capability(sk1,sk3),capability(sk1,sk2))
| has_immunity(sk1,sk3)
| has_immunity(sk1,sk2)
| stock_of_knowledge(sk1,sk3) = stock_of_knowledge(sk1,sk2) ),
inference(resolve,[status(thm)],[c_205,c_10]) ).
cnf(c_286,plain,
( smaller(hazard_of_mortality(sk1,sk3),hazard_of_mortality(sk1,sk2))
| ~ greater(capability(sk1,sk3),capability(sk1,sk2))
| has_immunity(sk1,sk3)
| stock_of_knowledge(sk1,sk3) = stock_of_knowledge(sk1,sk2) ),
inference(resolve,[status(thm)],[c_29,c_285]) ).
cnf(c_287,plain,
( smaller(hazard_of_mortality(sk1,sk3),hazard_of_mortality(sk1,sk2))
| ~ greater(capability(sk1,sk3),capability(sk1,sk2))
| stock_of_knowledge(sk1,sk3) = stock_of_knowledge(sk1,sk2) ),
inference(resolve,[status(thm)],[c_28,c_286]) ).
cnf(c_216,plain,
( ~ greater(capability(sk1,sk3),capability(sk1,sk2))
| stock_of_knowledge(sk1,sk3) = stock_of_knowledge(sk1,sk2) ),
inference(resolve,[status(thm)],[c_19,c_287]) ).
cnf(c_288,plain,
( stock_of_knowledge(sk1,sk3) = stock_of_knowledge(sk1,sk2)
| stock_of_knowledge(sk1,sk3) = stock_of_knowledge(sk1,sk2) ),
inference(resolve,[status(thm)],[c_216,c_103]) ).
cnf(c_219,plain,
stock_of_knowledge(sk1,sk3) = stock_of_knowledge(sk1,sk2),
inference(copy,[status(thm)],[c_288]) ).
cnf(c_289,plain,
( ~ greater(capability(sk1,sk3),capability(sk1,sk2))
| greater(stock_of_knowledge(sk1,sk2),stock_of_knowledge(sk1,sk2)) ),
inference(paramod,[status(thm)],[c_219,c_118]) ).
cnf(c_226,plain,
~ greater(capability(sk1,sk3),capability(sk1,sk2)),
inference(resolve,[status(thm)],[c_43,c_289]) ).
cnf(c_290,plain,
( greater(position(sk1,sk3),position(sk1,sk2))
| greater(stock_of_knowledge(sk1,sk2),stock_of_knowledge(sk1,sk2)) ),
inference(paramod,[status(thm)],[c_219,c_45]) ).
cnf(c_242,plain,
greater(position(sk1,sk3),position(sk1,sk2)),
inference(resolve,[status(thm)],[c_43,c_290]) ).
cnf(c_244,plain,
( capability(sk1,sk3) = capability(sk1,sk2)
| internal_friction(sk1,sk3) != internal_friction(sk1,sk2) ),
inference(resolve,[status(thm)],[c_219,c_15]) ).
cnf(c_252,plain,
~ smaller(capability(sk1,sk2),capability(sk1,sk3)),
inference(resolve,[status(thm)],[c_34,c_226]) ).
cnf(c_291,plain,
( smaller(hazard_of_mortality(sk1,A),hazard_of_mortality(sk1,sk2))
| ~ greater(position(sk1,A),position(sk1,sk2))
| ~ greater_or_equal(capability(sk1,A),capability(sk1,sk2))
| has_immunity(sk1,A) ),
inference(resolve,[status(thm)],[c_11,c_29]) ).
cnf(c_292,plain,
( smaller(hazard_of_mortality(sk1,sk3),hazard_of_mortality(sk1,sk2))
| ~ greater(position(sk1,sk3),position(sk1,sk2))
| ~ greater_or_equal(capability(sk1,sk3),capability(sk1,sk2)) ),
inference(resolve,[status(thm)],[c_291,c_28]) ).
cnf(c_293,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_292,c_242]) ).
cnf(c_255,plain,
~ greater_or_equal(capability(sk1,sk3),capability(sk1,sk2)),
inference(resolve,[status(thm)],[c_293,c_19]) ).
cnf(c_256,plain,
capability(sk1,sk3) != capability(sk1,sk2),
inference(resolve,[status(thm)],[c_35,c_255]) ).
cnf(c_257,plain,
internal_friction(sk1,sk3) != internal_friction(sk1,sk2),
inference(resolve,[status(thm)],[c_256,c_244]) ).
cnf(c_265,plain,
greater(internal_friction(sk1,sk2),internal_friction(sk1,sk3)),
inference(resolve,[status(thm)],[c_257,c_117]) ).
cnf(c_294,plain,
( smaller(capability(sk1,sk2),capability(sk1,sk3))
| ~ smaller_or_equal(stock_of_knowledge(sk1,sk2),stock_of_knowledge(sk1,sk3)) ),
inference(resolve,[status(thm)],[c_14,c_265]) ).
cnf(c_295,plain,
~ smaller_or_equal(stock_of_knowledge(sk1,sk2),stock_of_knowledge(sk1,sk3)),
inference(resolve,[status(thm)],[c_294,c_252]) ).
cnf(c_296,plain,
~ smaller_or_equal(stock_of_knowledge(sk1,sk2),stock_of_knowledge(sk1,sk2)),
inference(paramod,[status(thm)],[c_219,c_295]) ).
cnf(c_276,plain,
$false,
inference(resolve,[status(thm)],[c_58,c_296]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : MGT042-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.40 % Computer : n004.cluster.edu
% 0.15/0.40 % Model : x86_64 x86_64
% 0.15/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.40 % Memory : 8046.5625MB
% 0.15/0.40 % OS : Linux 6.8.0-71-generic
% 0.15/0.40 % CPULimit : 300
% 0.15/0.40 % WCLimit : 300
% 0.15/0.40 % DateTime : Sat Sep 26 00:08:36 UTC 2026
% 0.15/0.40 % CPUTime :
% 0.15/0.40 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.15/0.40 % Process 306106 was started by sandbox on n004,
% 0.15/0.40 % Sat Sep 26 00:08:36 2026
% 0.15/0.40 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.15/0.41
% 0.15/0.41 % From the command line: assign(max_seconds, 300).
% 0.15/0.49
% 0.15/0.49 % SZS status Unsatisfiable for theBenchmark
% 0.15/0.49
% 0.15/0.49 % Proof 1 at 0.04 (+ 0.02) seconds.
% 0.15/0.49 % Length of proof is 59.
% 0.15/0.49 % Level of proof is 16.
% 0.15/0.49 % Maximum clause weight is 27.000.
% 0.15/0.49 % Given clauses 134.
% 0.15/0.49
% 0.15/0.49 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------