%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : MGT047-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n011.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 : Fri Sep 25 02:11:49 PM UTC 2026
% Result : Unsatisfiable 79.91s 30.42s
% Output : Proof 79.91s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 24
% Syntax : Number of formulae : 141 ( 33 unt; 0 def)
% Number of atoms : 339 ( 37 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 361 ( 163 ~; 198 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 6 con; 0-2 aty)
% Number of variables : 197 ( 7 sgn 86 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
cnf(f30,axiom,
( internal_friction(A,B) = internal_friction(A,C)
| ~ organization(A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_9_60) ).
fof(f30_nnf,plain,
! [A,B,C] :
( internal_friction(A,B) = internal_friction(A,C)
| ~ organization(A) ),
inference(nnf_transformation,[status(thm)],[f30]) ).
fof(f30_sk,plain,
! [A,B,C] :
( internal_friction(A,B) = internal_friction(A,C)
| ~ organization(A) ),
inference(skolemisation,[status(esa)],[f30_nnf]) ).
cnf(c30,plain,
( internal_friction(X0,X1) = internal_friction(X0,X2)
| ~ organization(X0) ),
inference(cnf_transformation,[status(esa)],[f30_sk]) ).
cnf(f31,negated_conjecture,
organization(sk2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_2_61) ).
fof(f31_nnf,plain,
organization(sk2),
inference(nnf_transformation,[status(thm)],[f31]) ).
cnf(c31,plain,
organization(sk2),
inference(cnf_transformation,[status(esa)],[f31_nnf]) ).
cnf(p215,plain,
internal_friction(sk2,X0) = internal_friction(sk2,X1),
inference(resolution,[status(thm)],[c30,c31]) ).
cnf(f23,axiom,
( 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) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_5_53) ).
fof(f23_nnf,plain,
! [A,B,C] :
( 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(nnf_transformation,[status(thm)],[f23]) ).
fof(f23_sk,plain,
! [A,B,C] :
( 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(skolemisation,[status(esa)],[f23_nnf]) ).
cnf(c23,plain,
( greater(capability(X0,X1),capability(X0,X2))
| ~ smaller_or_equal(internal_friction(X0,X1),internal_friction(X0,X2))
| ~ greater(stock_of_knowledge(X0,X1),stock_of_knowledge(X0,X2))
| ~ organization(X0) ),
inference(cnf_transformation,[status(esa)],[f23_sk]) ).
cnf(p134,plain,
( greater(capability(sk2,X0),capability(sk2,X1))
| ~ smaller_or_equal(internal_friction(sk2,X0),internal_friction(sk2,X1))
| ~ greater(stock_of_knowledge(sk2,X0),stock_of_knowledge(sk2,X1)) ),
inference(resolution,[status(thm)],[c23,c31]) ).
cnf(f28,axiom,
( greater(stock_of_knowledge(A,B),stock_of_knowledge(A,C))
| ~ greater(age(A,B),age(A,C))
| ~ organization(A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_7_58) ).
fof(f28_nnf,plain,
! [A,B,C] :
( greater(stock_of_knowledge(A,B),stock_of_knowledge(A,C))
| ~ greater(age(A,B),age(A,C))
| ~ organization(A) ),
inference(nnf_transformation,[status(thm)],[f28]) ).
fof(f28_sk,plain,
! [A,B,C] :
( greater(stock_of_knowledge(A,B),stock_of_knowledge(A,C))
| ~ greater(age(A,B),age(A,C))
| ~ organization(A) ),
inference(skolemisation,[status(esa)],[f28_nnf]) ).
cnf(c28,plain,
( greater(stock_of_knowledge(X0,X1),stock_of_knowledge(X0,X2))
| ~ greater(age(X0,X1),age(X0,X2))
| ~ organization(X0) ),
inference(cnf_transformation,[status(esa)],[f28_sk]) ).
cnf(p184,plain,
( greater(stock_of_knowledge(sk2,X0),stock_of_knowledge(sk2,X1))
| ~ greater(age(sk2,X0),age(sk2,X1)) ),
inference(resolution,[status(thm)],[c28,c31]) ).
cnf(f36,negated_conjecture,
greater(age(sk2,sk6),age(sk2,sk5)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_2_66) ).
fof(f36_nnf,plain,
greater(age(sk2,sk6),age(sk2,sk5)),
inference(nnf_transformation,[status(thm)],[f36]) ).
cnf(c36,plain,
greater(age(sk2,sk6),age(sk2,sk5)),
inference(cnf_transformation,[status(esa)],[f36_nnf]) ).
cnf(p185,plain,
greater(stock_of_knowledge(sk2,sk6),stock_of_knowledge(sk2,sk5)),
inference(resolution,[status(thm)],[p184,c36]) ).
cnf(p556,plain,
( greater(capability(sk2,sk6),capability(sk2,sk5))
| ~ smaller_or_equal(internal_friction(sk2,sk6),internal_friction(sk2,sk5)) ),
inference(resolution,[status(thm)],[p134,p185]) ).
cnf(p762,plain,
( greater(capability(sk2,sk6),capability(sk2,sk5))
| ~ smaller_or_equal(internal_friction(sk2,X0),internal_friction(sk2,sk5)) ),
inference(superposition,[status(thm)],[p215,p556]) ).
cnf(f2,axiom,
( smaller_or_equal(A,B)
| A != B ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_smaller_or_equal_3) ).
fof(f2_nnf,plain,
! [A,B] :
( smaller_or_equal(A,B)
| A != B ),
inference(nnf_transformation,[status(thm)],[f2]) ).
fof(f2_sk,plain,
! [A,B] :
( smaller_or_equal(A,B)
| A != B ),
inference(skolemisation,[status(esa)],[f2_nnf]) ).
cnf(c2,plain,
( smaller_or_equal(X0,X1)
| X0 != X1 ),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(p40,plain,
smaller_or_equal(X0,X0),
inference(equality_resolution,[status(thm)],[c2]) ).
cnf(p770,plain,
greater(capability(sk2,sk6),capability(sk2,sk5)),
inference(resolution,[status(thm)],[p762,p40]) ).
cnf(f20,axiom,
( 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) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_4_50) ).
fof(f20_nnf,plain,
! [A,B,C] :
( 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(nnf_transformation,[status(thm)],[f20]) ).
fof(f20_sk,plain,
! [A,B,C] :
( 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(skolemisation,[status(esa)],[f20_nnf]) ).
cnf(c20,plain,
( smaller(hazard_of_mortality(X0,X2),hazard_of_mortality(X0,X1))
| ~ greater_or_equal(position(X0,X2),position(X0,X1))
| ~ greater(capability(X0,X2),capability(X0,X1))
| has_immunity(X0,X2)
| has_immunity(X0,X1)
| ~ organization(X0) ),
inference(cnf_transformation,[status(esa)],[f20_sk]) ).
cnf(p112,plain,
( smaller(hazard_of_mortality(sk2,X1),hazard_of_mortality(sk2,X0))
| ~ greater_or_equal(position(sk2,X1),position(sk2,X0))
| ~ greater(capability(sk2,X1),capability(sk2,X0))
| has_immunity(sk2,X1)
| has_immunity(sk2,X0) ),
inference(resolution,[status(thm)],[c20,c31]) ).
cnf(p778,plain,
( smaller(hazard_of_mortality(sk2,sk6),hazard_of_mortality(sk2,sk5))
| ~ greater_or_equal(position(sk2,sk6),position(sk2,sk5))
| has_immunity(sk2,sk6)
| has_immunity(sk2,sk5) ),
inference(resolution,[status(thm)],[p770,p112]) ).
cnf(f29,axiom,
( greater(external_ties(A,B),external_ties(A,C))
| ~ greater(age(A,B),age(A,C))
| ~ organization(A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_8_59) ).
fof(f29_nnf,plain,
! [A,B,C] :
( greater(external_ties(A,B),external_ties(A,C))
| ~ greater(age(A,B),age(A,C))
| ~ organization(A) ),
inference(nnf_transformation,[status(thm)],[f29]) ).
fof(f29_sk,plain,
! [A,B,C] :
( greater(external_ties(A,B),external_ties(A,C))
| ~ greater(age(A,B),age(A,C))
| ~ organization(A) ),
inference(skolemisation,[status(esa)],[f29_nnf]) ).
cnf(c29,plain,
( greater(external_ties(X0,X1),external_ties(X0,X2))
| ~ greater(age(X0,X1),age(X0,X2))
| ~ organization(X0) ),
inference(cnf_transformation,[status(esa)],[f29_sk]) ).
cnf(p205,plain,
( greater(external_ties(sk2,X0),external_ties(sk2,X1))
| ~ greater(age(sk2,X0),age(sk2,X1)) ),
inference(resolution,[status(thm)],[c29,c31]) ).
cnf(p234,plain,
greater(external_ties(sk2,sk6),external_ties(sk2,sk5)),
inference(resolution,[status(thm)],[p205,c36]) ).
cnf(f26,axiom,
( greater(position(A,B),position(A,C))
| ~ greater(external_ties(A,B),external_ties(A,C))
| ~ organization(A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_6_56) ).
fof(f26_nnf,plain,
! [A,B,C] :
( greater(position(A,B),position(A,C))
| ~ greater(external_ties(A,B),external_ties(A,C))
| ~ organization(A) ),
inference(nnf_transformation,[status(thm)],[f26]) ).
fof(f26_sk,plain,
! [A,B,C] :
( greater(position(A,B),position(A,C))
| ~ greater(external_ties(A,B),external_ties(A,C))
| ~ organization(A) ),
inference(skolemisation,[status(esa)],[f26_nnf]) ).
cnf(c26,plain,
( greater(position(X0,X1),position(X0,X2))
| ~ greater(external_ties(X0,X1),external_ties(X0,X2))
| ~ organization(X0) ),
inference(cnf_transformation,[status(esa)],[f26_sk]) ).
cnf(p151,plain,
( greater(position(sk2,X0),position(sk2,X1))
| ~ greater(external_ties(sk2,X0),external_ties(sk2,X1)) ),
inference(resolution,[status(thm)],[c26,c31]) ).
cnf(p253,plain,
greater(position(sk2,sk6),position(sk2,sk5)),
inference(resolution,[status(thm)],[p234,p151]) ).
cnf(f4,axiom,
( greater_or_equal(A,B)
| ~ greater(A,B) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_greater_or_equal_5) ).
fof(f4_nnf,plain,
! [A,B] :
( greater_or_equal(A,B)
| ~ greater(A,B) ),
inference(nnf_transformation,[status(thm)],[f4]) ).
fof(f4_sk,plain,
! [A,B] :
( greater_or_equal(A,B)
| ~ greater(A,B) ),
inference(skolemisation,[status(esa)],[f4_nnf]) ).
cnf(c4,plain,
( greater_or_equal(X0,X1)
| ~ greater(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(p255,plain,
greater_or_equal(position(sk2,sk6),position(sk2,sk5)),
inference(resolution,[status(thm)],[p253,c4]) ).
cnf(p40148,plain,
( smaller(hazard_of_mortality(sk2,sk6),hazard_of_mortality(sk2,sk5))
| has_immunity(sk2,sk6)
| has_immunity(sk2,sk5) ),
inference(resolution,[status(thm)],[p778,p255]) ).
cnf(f6,axiom,
( greater(B,A)
| ~ smaller(A,B) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_smaller_7) ).
fof(f6_nnf,plain,
! [A,B] :
( greater(B,A)
| ~ smaller(A,B) ),
inference(nnf_transformation,[status(thm)],[f6]) ).
fof(f6_sk,plain,
! [A,B] :
( greater(B,A)
| ~ smaller(A,B) ),
inference(skolemisation,[status(esa)],[f6_nnf]) ).
cnf(c6,plain,
( greater(X1,X0)
| ~ smaller(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f6_sk]) ).
cnf(p40150,plain,
( greater(hazard_of_mortality(sk2,sk5),hazard_of_mortality(sk2,sk6))
| has_immunity(sk2,sk6)
| has_immunity(sk2,sk5) ),
inference(resolution,[status(thm)],[p40148,c6]) ).
cnf(f9,axiom,
( greater(A,C)
| ~ greater(B,C)
| ~ greater(A,B) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',meaning_postulate_greater_transitive_10) ).
fof(f9_nnf,plain,
! [A,B,C] :
( greater(A,C)
| ~ greater(B,C)
| ~ greater(A,B) ),
inference(nnf_transformation,[status(thm)],[f9]) ).
fof(f9_sk,plain,
! [A,B,C] :
( greater(A,C)
| ~ greater(B,C)
| ~ greater(A,B) ),
inference(skolemisation,[status(esa)],[f9_nnf]) ).
cnf(c9,plain,
( greater(X0,X2)
| ~ greater(X1,X2)
| ~ greater(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f9_sk]) ).
cnf(f0,axiom,
( A = B
| smaller(A,B)
| ~ smaller_or_equal(A,B) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_smaller_or_equal_1) ).
fof(f0_nnf,plain,
! [A,B] :
( A = B
| smaller(A,B)
| ~ smaller_or_equal(A,B) ),
inference(nnf_transformation,[status(thm)],[f0]) ).
fof(f0_sk,plain,
! [A,B] :
( A = B
| smaller(A,B)
| ~ smaller_or_equal(A,B) ),
inference(skolemisation,[status(esa)],[f0_nnf]) ).
cnf(c0,plain,
( X0 = X1
| smaller(X0,X1)
| ~ smaller_or_equal(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(f34,negated_conjecture,
smaller_or_equal(age(sk2,sk4),eta),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_2_64) ).
fof(f34_nnf,plain,
smaller_or_equal(age(sk2,sk4),eta),
inference(nnf_transformation,[status(thm)],[f34]) ).
cnf(c34,plain,
smaller_or_equal(age(sk2,sk4),eta),
inference(cnf_transformation,[status(esa)],[f34_nnf]) ).
cnf(p38,plain,
( age(sk2,sk4) = eta
| smaller(age(sk2,sk4),eta) ),
inference(resolution,[status(thm)],[c0,c34]) ).
cnf(p44,plain,
( age(sk2,sk4) = eta
| greater(eta,age(sk2,sk4)) ),
inference(resolution,[status(thm)],[c6,p38]) ).
cnf(p59,plain,
( age(sk2,sk4) = eta
| greater(eta,X0)
| ~ greater(age(sk2,sk4),X0) ),
inference(resolution,[status(thm)],[c9,p44]) ).
cnf(f33,negated_conjecture,
smaller_or_equal(age(sk2,sk3),age(sk2,sk4)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_2_63) ).
fof(f33_nnf,plain,
smaller_or_equal(age(sk2,sk3),age(sk2,sk4)),
inference(nnf_transformation,[status(thm)],[f33]) ).
cnf(c33,plain,
smaller_or_equal(age(sk2,sk3),age(sk2,sk4)),
inference(cnf_transformation,[status(esa)],[f33_nnf]) ).
cnf(p39,plain,
( age(sk2,sk3) = age(sk2,sk4)
| smaller(age(sk2,sk3),age(sk2,sk4)) ),
inference(resolution,[status(thm)],[c33,c0]) ).
cnf(p45,plain,
( age(sk2,sk3) = age(sk2,sk4)
| greater(age(sk2,sk4),age(sk2,sk3)) ),
inference(resolution,[status(thm)],[c6,p39]) ).
cnf(p103,plain,
( age(sk2,sk3) = age(sk2,sk4)
| age(sk2,sk4) = eta
| greater(eta,age(sk2,sk3)) ),
inference(resolution,[status(thm)],[p59,p45]) ).
cnf(p156,plain,
( smaller_or_equal(age(sk2,sk3),eta)
| age(sk2,sk4) = eta
| greater(eta,age(sk2,sk3)) ),
inference(superposition,[status(thm)],[p103,c34]) ).
cnf(f7,axiom,
( smaller(B,A)
| ~ greater(A,B) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_smaller_8) ).
fof(f7_nnf,plain,
! [A,B] :
( smaller(B,A)
| ~ greater(A,B) ),
inference(nnf_transformation,[status(thm)],[f7]) ).
fof(f7_sk,plain,
! [A,B] :
( smaller(B,A)
| ~ greater(A,B) ),
inference(skolemisation,[status(esa)],[f7_nnf]) ).
cnf(c7,plain,
( smaller(X1,X0)
| ~ greater(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f7_sk]) ).
cnf(p177,plain,
( smaller(age(sk2,sk3),eta)
| smaller_or_equal(age(sk2,sk3),eta)
| age(sk2,sk4) = eta ),
inference(resolution,[status(thm)],[p156,c7]) ).
cnf(f1,axiom,
( smaller_or_equal(A,B)
| ~ smaller(A,B) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_smaller_or_equal_2) ).
fof(f1_nnf,plain,
! [A,B] :
( smaller_or_equal(A,B)
| ~ smaller(A,B) ),
inference(nnf_transformation,[status(thm)],[f1]) ).
fof(f1_sk,plain,
! [A,B] :
( smaller_or_equal(A,B)
| ~ smaller(A,B) ),
inference(skolemisation,[status(esa)],[f1_nnf]) ).
cnf(c1,plain,
( smaller_or_equal(X0,X1)
| ~ smaller(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f1_sk]) ).
cnf(p183,plain,
( smaller_or_equal(age(sk2,sk3),eta)
| smaller_or_equal(age(sk2,sk3),eta)
| age(sk2,sk4) = eta ),
inference(resolution,[status(thm)],[p177,c1]) ).
cnf(p476,plain,
( smaller_or_equal(age(sk2,sk3),eta)
| age(sk2,sk4) = eta ),
inference(factoring,[status(thm)],[p183]) ).
cnf(f12,axiom,
( has_immunity(A,B)
| ~ smaller_or_equal(age(A,B),eta)
| ~ has_endowment(A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_1_42) ).
fof(f12_nnf,plain,
! [A,B] :
( has_immunity(A,B)
| ~ smaller_or_equal(age(A,B),eta)
| ~ has_endowment(A) ),
inference(nnf_transformation,[status(thm)],[f12]) ).
fof(f12_sk,plain,
! [A,B] :
( has_immunity(A,B)
| ~ smaller_or_equal(age(A,B),eta)
| ~ has_endowment(A) ),
inference(skolemisation,[status(esa)],[f12_nnf]) ).
cnf(c12,plain,
( has_immunity(X0,X1)
| ~ smaller_or_equal(age(X0,X1),eta)
| ~ has_endowment(X0) ),
inference(cnf_transformation,[status(esa)],[f12_sk]) ).
cnf(f32,negated_conjecture,
has_endowment(sk2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_2_62) ).
fof(f32_nnf,plain,
has_endowment(sk2),
inference(nnf_transformation,[status(thm)],[f32]) ).
cnf(c32,plain,
has_endowment(sk2),
inference(cnf_transformation,[status(esa)],[f32_nnf]) ).
cnf(p76,plain,
( has_immunity(sk2,X0)
| ~ smaller_or_equal(age(sk2,X0),eta) ),
inference(resolution,[status(thm)],[c12,c32]) ).
cnf(p478,plain,
( has_immunity(sk2,sk3)
| age(sk2,sk4) = eta ),
inference(resolution,[status(thm)],[p476,p76]) ).
cnf(p479,plain,
( smaller_or_equal(age(sk2,sk3),eta)
| has_immunity(sk2,sk3) ),
inference(superposition,[status(thm)],[p478,c33]) ).
cnf(p490,plain,
( has_immunity(sk2,sk3)
| has_immunity(sk2,sk3) ),
inference(resolution,[status(thm)],[p479,p76]) ).
cnf(p491,plain,
has_immunity(sk2,sk3),
inference(factoring,[status(thm)],[p490]) ).
cnf(f18,axiom,
( hazard_of_mortality(A,B) = hazard_of_mortality(A,C)
| ~ has_immunity(A,C)
| ~ has_immunity(A,B)
| ~ organization(A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_2_48) ).
fof(f18_nnf,plain,
! [A,B,C] :
( hazard_of_mortality(A,B) = hazard_of_mortality(A,C)
| ~ has_immunity(A,C)
| ~ has_immunity(A,B)
| ~ organization(A) ),
inference(nnf_transformation,[status(thm)],[f18]) ).
fof(f18_sk,plain,
! [A,B,C] :
( hazard_of_mortality(A,B) = hazard_of_mortality(A,C)
| ~ has_immunity(A,C)
| ~ has_immunity(A,B)
| ~ organization(A) ),
inference(skolemisation,[status(esa)],[f18_nnf]) ).
cnf(c18,plain,
( hazard_of_mortality(X0,X1) = hazard_of_mortality(X0,X2)
| ~ has_immunity(X0,X2)
| ~ has_immunity(X0,X1)
| ~ organization(X0) ),
inference(cnf_transformation,[status(esa)],[f18_sk]) ).
cnf(p102,plain,
( hazard_of_mortality(sk2,X0) = hazard_of_mortality(sk2,X1)
| ~ has_immunity(sk2,X1)
| ~ has_immunity(sk2,X0) ),
inference(resolution,[status(thm)],[c18,c31]) ).
cnf(p77,plain,
has_immunity(sk2,sk4),
inference(resolution,[status(thm)],[p76,c34]) ).
cnf(p105,plain,
( hazard_of_mortality(sk2,sk4) = hazard_of_mortality(sk2,X0)
| ~ has_immunity(sk2,X0) ),
inference(resolution,[status(thm)],[p102,p77]) ).
cnf(p501,plain,
hazard_of_mortality(sk2,sk4) = hazard_of_mortality(sk2,sk3),
inference(resolution,[status(thm)],[p491,p105]) ).
cnf(f37,negated_conjecture,
( hazard_of_mortality(sk2,sk4) != hazard_of_mortality(sk2,sk3)
| ~ greater(hazard_of_mortality(sk2,sk6),hazard_of_mortality(sk2,sk4))
| ~ greater(hazard_of_mortality(sk2,sk5),hazard_of_mortality(sk2,sk6)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_2_67) ).
fof(f37_nnf,plain,
( hazard_of_mortality(sk2,sk4) != hazard_of_mortality(sk2,sk3)
| ~ greater(hazard_of_mortality(sk2,sk6),hazard_of_mortality(sk2,sk4))
| ~ greater(hazard_of_mortality(sk2,sk5),hazard_of_mortality(sk2,sk6)) ),
inference(nnf_transformation,[status(thm)],[f37]) ).
fof(f37_sk,plain,
( hazard_of_mortality(sk2,sk4) != hazard_of_mortality(sk2,sk3)
| ~ greater(hazard_of_mortality(sk2,sk6),hazard_of_mortality(sk2,sk4))
| ~ greater(hazard_of_mortality(sk2,sk5),hazard_of_mortality(sk2,sk6)) ),
inference(skolemisation,[status(esa)],[f37_nnf]) ).
cnf(c37,plain,
( hazard_of_mortality(sk2,sk4) != hazard_of_mortality(sk2,sk3)
| ~ greater(hazard_of_mortality(sk2,sk6),hazard_of_mortality(sk2,sk4))
| ~ greater(hazard_of_mortality(sk2,sk5),hazard_of_mortality(sk2,sk6)) ),
inference(cnf_transformation,[status(esa)],[f37_sk]) ).
cnf(p502,plain,
( hazard_of_mortality(sk2,sk3) != hazard_of_mortality(sk2,sk3)
| ~ greater(hazard_of_mortality(sk2,sk6),hazard_of_mortality(sk2,sk3))
| ~ greater(hazard_of_mortality(sk2,sk5),hazard_of_mortality(sk2,sk6)) ),
inference(demodulation,[status(thm)],[p501,c37]) ).
cnf(p10832,plain,
( ~ greater(hazard_of_mortality(sk2,sk6),hazard_of_mortality(sk2,sk3))
| ~ greater(hazard_of_mortality(sk2,sk5),hazard_of_mortality(sk2,sk6)) ),
inference(equality_resolution,[status(thm)],[p502]) ).
cnf(p40168,plain,
( ~ greater(hazard_of_mortality(sk2,sk6),hazard_of_mortality(sk2,sk3))
| has_immunity(sk2,sk6)
| has_immunity(sk2,sk5) ),
inference(resolution,[status(thm)],[p40150,p10832]) ).
cnf(f19,axiom,
( greater(hazard_of_mortality(A,C),hazard_of_mortality(A,B))
| has_immunity(A,C)
| ~ has_immunity(A,B)
| ~ organization(A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_3_49) ).
fof(f19_nnf,plain,
! [A,B,C] :
( greater(hazard_of_mortality(A,C),hazard_of_mortality(A,B))
| has_immunity(A,C)
| ~ has_immunity(A,B)
| ~ organization(A) ),
inference(nnf_transformation,[status(thm)],[f19]) ).
fof(f19_sk,plain,
! [A,B,C] :
( greater(hazard_of_mortality(A,C),hazard_of_mortality(A,B))
| has_immunity(A,C)
| ~ has_immunity(A,B)
| ~ organization(A) ),
inference(skolemisation,[status(esa)],[f19_nnf]) ).
cnf(c19,plain,
( greater(hazard_of_mortality(X0,X2),hazard_of_mortality(X0,X1))
| has_immunity(X0,X2)
| ~ has_immunity(X0,X1)
| ~ organization(X0) ),
inference(cnf_transformation,[status(esa)],[f19_sk]) ).
cnf(p106,plain,
( greater(hazard_of_mortality(sk2,X1),hazard_of_mortality(sk2,X0))
| has_immunity(sk2,X1)
| ~ has_immunity(sk2,X0) ),
inference(resolution,[status(thm)],[c19,c31]) ).
cnf(p107,plain,
( greater(hazard_of_mortality(sk2,X0),hazard_of_mortality(sk2,sk4))
| has_immunity(sk2,X0) ),
inference(resolution,[status(thm)],[p106,p77]) ).
cnf(p504,plain,
( greater(hazard_of_mortality(sk2,X0),hazard_of_mortality(sk2,sk3))
| has_immunity(sk2,X0) ),
inference(demodulation,[status(thm)],[p501,p107]) ).
cnf(p40257,plain,
( has_immunity(sk2,sk6)
| has_immunity(sk2,sk6)
| has_immunity(sk2,sk5) ),
inference(resolution,[status(thm)],[p40168,p504]) ).
cnf(p40299,plain,
( has_immunity(sk2,sk6)
| has_immunity(sk2,sk5) ),
inference(factoring,[status(thm)],[p40257]) ).
cnf(f13,axiom,
( ~ has_immunity(A,B)
| ~ greater(age(A,B),eta)
| ~ has_endowment(A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_1_43) ).
fof(f13_nnf,plain,
! [A,B] :
( ~ has_immunity(A,B)
| ~ greater(age(A,B),eta)
| ~ has_endowment(A) ),
inference(nnf_transformation,[status(thm)],[f13]) ).
fof(f13_sk,plain,
! [A,B] :
( ~ has_immunity(A,B)
| ~ greater(age(A,B),eta)
| ~ has_endowment(A) ),
inference(skolemisation,[status(esa)],[f13_nnf]) ).
cnf(c13,plain,
( ~ has_immunity(X0,X1)
| ~ greater(age(X0,X1),eta)
| ~ has_endowment(X0) ),
inference(cnf_transformation,[status(esa)],[f13_sk]) ).
cnf(p86,plain,
( ~ has_immunity(sk2,X0)
| ~ greater(age(sk2,X0),eta) ),
inference(resolution,[status(thm)],[c13,c32]) ).
cnf(p58,plain,
( greater(age(sk2,sk6),X0)
| ~ greater(age(sk2,sk5),X0) ),
inference(resolution,[status(thm)],[c9,c36]) ).
cnf(f35,negated_conjecture,
greater(age(sk2,sk5),eta),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_2_65) ).
fof(f35_nnf,plain,
greater(age(sk2,sk5),eta),
inference(nnf_transformation,[status(thm)],[f35]) ).
cnf(c35,plain,
greater(age(sk2,sk5),eta),
inference(cnf_transformation,[status(esa)],[f35_nnf]) ).
cnf(p62,plain,
greater(age(sk2,sk6),eta),
inference(resolution,[status(thm)],[p58,c35]) ).
cnf(p88,plain,
~ has_immunity(sk2,sk6),
inference(resolution,[status(thm)],[p86,p62]) ).
cnf(p40300,plain,
has_immunity(sk2,sk5),
inference(resolution,[status(thm)],[p40299,p88]) ).
cnf(p87,plain,
~ has_immunity(sk2,sk5),
inference(resolution,[status(thm)],[p86,c35]) ).
cnf(p40326,plain,
$false,
inference(resolution,[status(thm)],[p40300,p87]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : MGT047-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.10/0.37 % Computer : n011.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Thu Sep 24 01:12:42 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 79.91/30.42 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 79.91/30.42 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------