%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : MGT056-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n013.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 02:11:51 PM UTC 2026
% Result : Unsatisfiable 26.60s 4.48s
% Output : Proof 26.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 16
% Syntax : Number of formulae : 84 ( 31 unt; 0 def)
% Number of atoms : 172 ( 30 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 168 ( 80 ~; 88 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 7 con; 0-2 aty)
% Number of variables : 85 ( 0 sgn 38 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
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_39) ).
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(f20,negated_conjecture,
organization(sk2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lemma_9_40) ).
fof(f20_nnf,plain,
organization(sk2),
inference(nnf_transformation,[status(thm)],[f20]) ).
cnf(c20,plain,
organization(sk2),
inference(cnf_transformation,[status(esa)],[f20_nnf]) ).
cnf(p102,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,c20]) ).
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_32) ).
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(f21,negated_conjecture,
has_endowment(sk2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lemma_9_41) ).
fof(f21_nnf,plain,
has_endowment(sk2),
inference(nnf_transformation,[status(thm)],[f21]) ).
cnf(c21,plain,
has_endowment(sk2),
inference(cnf_transformation,[status(esa)],[f21_nnf]) ).
cnf(p64,plain,
( has_immunity(sk2,X0)
| ~ smaller_or_equal(age(sk2,X0),eta) ),
inference(resolution,[status(thm)],[c12,c21]) ).
cnf(f23,negated_conjecture,
smaller_or_equal(age(sk2,sk4),eta),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lemma_9_43) ).
fof(f23_nnf,plain,
smaller_or_equal(age(sk2,sk4),eta),
inference(nnf_transformation,[status(thm)],[f23]) ).
cnf(c23,plain,
smaller_or_equal(age(sk2,sk4),eta),
inference(cnf_transformation,[status(esa)],[f23_nnf]) ).
cnf(p66,plain,
has_immunity(sk2,sk4),
inference(resolution,[status(thm)],[p64,c23]) ).
cnf(p211,plain,
( greater(hazard_of_mortality(sk2,X0),hazard_of_mortality(sk2,sk4))
| has_immunity(sk2,X0) ),
inference(resolution,[status(thm)],[p102,p66]) ).
cnf(f27,negated_conjecture,
( hazard_of_mortality(sk2,sk4) != hazard_of_mortality(sk2,sk3)
| ~ greater(hazard_of_mortality(sk2,sk5),hazard_of_mortality(sk2,sk4)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lemma_9_47) ).
fof(f27_nnf,plain,
( hazard_of_mortality(sk2,sk4) != hazard_of_mortality(sk2,sk3)
| ~ greater(hazard_of_mortality(sk2,sk5),hazard_of_mortality(sk2,sk4)) ),
inference(nnf_transformation,[status(thm)],[f27]) ).
fof(f27_sk,plain,
( hazard_of_mortality(sk2,sk4) != hazard_of_mortality(sk2,sk3)
| ~ greater(hazard_of_mortality(sk2,sk5),hazard_of_mortality(sk2,sk4)) ),
inference(skolemisation,[status(esa)],[f27_nnf]) ).
cnf(c27,plain,
( hazard_of_mortality(sk2,sk4) != hazard_of_mortality(sk2,sk3)
| ~ greater(hazard_of_mortality(sk2,sk5),hazard_of_mortality(sk2,sk4)) ),
inference(cnf_transformation,[status(esa)],[f27_sk]) ).
cnf(p214,plain,
( hazard_of_mortality(sk2,sk4) != hazard_of_mortality(sk2,sk3)
| has_immunity(sk2,sk5) ),
inference(resolution,[status(thm)],[p211,c27]) ).
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_38) ).
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(p94,plain,
( hazard_of_mortality(sk2,X0) = hazard_of_mortality(sk2,X1)
| ~ has_immunity(sk2,X1)
| ~ has_immunity(sk2,X0) ),
inference(resolution,[status(thm)],[c18,c20]) ).
cnf(p201,plain,
( hazard_of_mortality(sk2,sk4) = hazard_of_mortality(sk2,X0)
| ~ has_immunity(sk2,X0) ),
inference(resolution,[status(thm)],[p94,p66]) ).
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(f3,axiom,
( A = B
| greater(A,B)
| ~ greater_or_equal(A,B) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_greater_or_equal_4) ).
fof(f3_nnf,plain,
! [A,B] :
( A = B
| greater(A,B)
| ~ greater_or_equal(A,B) ),
inference(nnf_transformation,[status(thm)],[f3]) ).
fof(f3_sk,plain,
! [A,B] :
( A = B
| greater(A,B)
| ~ greater_or_equal(A,B) ),
inference(skolemisation,[status(esa)],[f3_nnf]) ).
cnf(c3,plain,
( X0 = X1
| greater(X0,X1)
| ~ greater_or_equal(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f3_sk]) ).
cnf(f25,negated_conjecture,
greater_or_equal(eta,sigma),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lemma_9_45) ).
fof(f25_nnf,plain,
greater_or_equal(eta,sigma),
inference(nnf_transformation,[status(thm)],[f25]) ).
cnf(c25,plain,
greater_or_equal(eta,sigma),
inference(cnf_transformation,[status(esa)],[f25_nnf]) ).
cnf(p30,plain,
( eta = sigma
| greater(eta,sigma) ),
inference(resolution,[status(thm)],[c3,c25]) ).
cnf(p49,plain,
( eta = sigma
| greater(eta,X0)
| ~ greater(sigma,X0) ),
inference(resolution,[status(thm)],[c9,p30]) ).
cnf(f26,negated_conjecture,
greater(sigma,zero),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lemma_9_46) ).
fof(f26_nnf,plain,
greater(sigma,zero),
inference(nnf_transformation,[status(thm)],[f26]) ).
cnf(c26,plain,
greater(sigma,zero),
inference(cnf_transformation,[status(esa)],[f26_nnf]) ).
cnf(p72,plain,
( eta = sigma
| greater(eta,zero) ),
inference(resolution,[status(thm)],[p49,c26]) ).
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(p75,plain,
( smaller(zero,eta)
| eta = sigma ),
inference(resolution,[status(thm)],[p72,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(p79,plain,
( smaller_or_equal(zero,eta)
| eta = sigma ),
inference(resolution,[status(thm)],[p75,c1]) ).
cnf(f22,negated_conjecture,
age(sk2,sk3) = zero,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lemma_9_42) ).
fof(f22_nnf,plain,
age(sk2,sk3) = zero,
inference(nnf_transformation,[status(thm)],[f22]) ).
cnf(c22,plain,
age(sk2,sk3) = zero,
inference(cnf_transformation,[status(esa)],[f22_nnf]) ).
cnf(p65,plain,
( has_immunity(sk2,sk3)
| ~ smaller_or_equal(zero,eta) ),
inference(superposition,[status(thm)],[c22,p64]) ).
cnf(p80,plain,
( has_immunity(sk2,sk3)
| eta = sigma ),
inference(resolution,[status(thm)],[p79,p65]) ).
cnf(p204,plain,
( eta = sigma
| hazard_of_mortality(sk2,sk4) = hazard_of_mortality(sk2,sk3) ),
inference(resolution,[status(thm)],[p201,p80]) ).
cnf(p221,plain,
( eta = sigma
| has_immunity(sk2,sk5) ),
inference(resolution,[status(thm)],[p214,p204]) ).
cnf(f13,axiom,
( ~ has_immunity(A,B)
| ~ greater(age(A,B),eta)
| ~ has_endowment(A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_1_33) ).
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(p67,plain,
( ~ has_immunity(sk2,X0)
| ~ greater(age(sk2,X0),eta) ),
inference(resolution,[status(thm)],[c13,c21]) ).
cnf(f24,negated_conjecture,
greater(age(sk2,sk5),eta),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lemma_9_44) ).
fof(f24_nnf,plain,
greater(age(sk2,sk5),eta),
inference(nnf_transformation,[status(thm)],[f24]) ).
cnf(c24,plain,
greater(age(sk2,sk5),eta),
inference(cnf_transformation,[status(esa)],[f24_nnf]) ).
cnf(p69,plain,
~ has_immunity(sk2,sk5),
inference(resolution,[status(thm)],[p67,c24]) ).
cnf(p222,plain,
eta = sigma,
inference(resolution,[status(thm)],[p221,p69]) ).
cnf(p36,plain,
smaller(zero,sigma),
inference(resolution,[status(thm)],[c7,c26]) ).
cnf(p39,plain,
smaller_or_equal(zero,sigma),
inference(resolution,[status(thm)],[p36,c1]) ).
cnf(p227,plain,
smaller_or_equal(zero,eta),
inference(superposition,[status(thm)],[p222,p39]) ).
cnf(p256,plain,
has_immunity(sk2,sk3),
inference(resolution,[status(thm)],[p227,p65]) ).
cnf(p258,plain,
hazard_of_mortality(sk2,sk4) = hazard_of_mortality(sk2,sk3),
inference(resolution,[status(thm)],[p256,p201]) ).
cnf(p262,plain,
( hazard_of_mortality(sk2,sk3) != hazard_of_mortality(sk2,sk3)
| has_immunity(sk2,sk5) ),
inference(demodulation,[status(thm)],[p258,p214]) ).
cnf(p331,plain,
has_immunity(sk2,sk5),
inference(equality_resolution,[status(thm)],[p262]) ).
cnf(p332,plain,
$false,
inference(resolution,[status(thm)],[p331,p69]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT056-1 : 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 : n013.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 01:14:06 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 26.60/4.48 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 26.60/4.48 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------