%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : MGT055-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/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 : Thu Sep 24 01:25:29 PM UTC 2026
% Result : Unsatisfiable 0.09s 0.57s
% Output : CNFRefutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 49
% Syntax : Number of formulae : 161 ( 30 unt; 21 def)
% Number of atoms : 392 ( 25 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 427 ( 196 ~; 210 |; 0 &)
% ( 21 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 31 ( 29 usr; 22 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 8 con; 0-2 aty)
% Number of variables : 124 ( 124 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A,B] :
( A = B
| smaller(A,B)
| ~ smaller_or_equal(A,B) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [A,B] :
( smaller_or_equal(A,B)
| ~ smaller(A,B) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [A,B] :
( greater(B,A)
| ~ smaller(A,B) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [A,B] :
( smaller(B,A)
| ~ greater(A,B) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,axiom,
! [A,B] :
( ~ greater(B,A)
| ~ greater(A,B) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,axiom,
! [A,B,C] :
( greater(A,C)
| ~ greater(B,C)
| ~ greater(A,B) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f13,axiom,
! [A,B] :
( has_immunity(A,B)
| ~ smaller_or_equal(age(A,B),eta)
| ~ has_endowment(A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f14,axiom,
! [A,B] :
( ~ has_immunity(A,B)
| ~ greater(age(A,B),eta)
| ~ has_endowment(A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f19,axiom,
! [A,B,C] :
( hazard_of_mortality(A,B) = hazard_of_mortality(A,C)
| ~ has_immunity(A,C)
| ~ has_immunity(A,B)
| ~ organization(A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f20,axiom,
! [A,B,C] :
( greater(hazard_of_mortality(A,C),hazard_of_mortality(A,B))
| has_immunity(A,C)
| ~ has_immunity(A,B)
| ~ organization(A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f21,axiom,
! [A,B,C] :
( organization(A)
| ~ dissimilar(A,B,C) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f23,axiom,
! [A,B,C] :
( ~ is_aligned(A,C)
| ~ is_aligned(A,B)
| ~ dissimilar(A,B,C) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f25,axiom,
! [A,B,C] :
( dissimilar(A,B,C)
| is_aligned(A,C)
| ~ is_aligned(A,B)
| ~ organization(A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f28,axiom,
! [A,B] :
( is_aligned(A,B)
| age(A,B) != zero
| ~ organization(A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f29,axiom,
! [A,B,C] :
( greater(capability(A,B),capability(A,C))
| is_aligned(A,C)
| ~ is_aligned(A,B)
| ~ organization(A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f30,axiom,
! [A,B,C] :
( dissimilar(A,B,C)
| ~ greater(age(A,C),sigma)
| age(A,B) != zero
| ~ organization(A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f31,axiom,
! [A,B,C] :
( greater(age(A,C),sigma)
| ~ dissimilar(A,B,C)
| age(A,B) != zero
| ~ organization(A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f32,axiom,
! [A,B,C] :
( greater(hazard_of_mortality(A,B),hazard_of_mortality(A,C))
| ~ greater(capability(A,C),capability(A,B))
| has_immunity(A,C)
| has_immunity(A,B)
| ~ organization(A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f33,negated_conjecture,
organization(sk2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f34,negated_conjecture,
has_endowment(sk2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f35,negated_conjecture,
age(sk2,sk3) = zero,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f36,negated_conjecture,
smaller_or_equal(age(sk2,sk4),eta),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f37,negated_conjecture,
greater(age(sk2,sk5),eta),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f38,negated_conjecture,
smaller_or_equal(age(sk2,sk5),sigma),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f39,negated_conjecture,
greater(age(sk2,sk6),sigma),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f40,negated_conjecture,
greater(sigma,eta),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f41,negated_conjecture,
greater(eta,zero),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f42,negated_conjecture,
( hazard_of_mortality(sk2,sk4) != hazard_of_mortality(sk2,sk3)
| ~ greater(hazard_of_mortality(sk2,sk5),hazard_of_mortality(sk2,sk4))
| ~ greater(hazard_of_mortality(sk2,sk6),hazard_of_mortality(sk2,sk5)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f43,plain,
! [X0,X1] :
( X0 = X1
| smaller(X0,X1)
| ~ smaller_or_equal(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f44,plain,
! [X0,X1] :
( smaller_or_equal(X0,X1)
| ~ smaller(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f49,plain,
! [X0,X1] :
( greater(X1,X0)
| ~ smaller(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f50,plain,
! [X0,X1] :
( smaller(X1,X0)
| ~ greater(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f51,plain,
! [X0,X1] :
( ~ greater(X1,X0)
| ~ greater(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f52,plain,
! [A,C] :
( greater(A,C)
| ! [B] :
( ~ greater(B,C)
| ~ greater(A,B) ) ),
inference(miniscoping,[status(thm)],[f10]) ).
fof(f53,plain,
! [X0,X1,X2] :
( greater(X0,X2)
| ~ greater(X1,X2)
| ~ greater(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f52]) ).
fof(f56,plain,
! [X0,X1] :
( has_immunity(X0,X1)
| ~ smaller_or_equal(age(X0,X1),eta)
| ~ has_endowment(X0) ),
inference(cnf_transformation,[status(thm)],[f13]) ).
fof(f57,plain,
! [X0,X1] :
( ~ has_immunity(X0,X1)
| ~ greater(age(X0,X1),eta)
| ~ has_endowment(X0) ),
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f62,plain,
! [X0,X1,X2] :
( hazard_of_mortality(X0,X1) = hazard_of_mortality(X0,X2)
| ~ has_immunity(X0,X2)
| ~ has_immunity(X0,X1)
| ~ organization(X0) ),
inference(cnf_transformation,[status(thm)],[f19]) ).
fof(f63,plain,
! [X0,X1,X2] :
( 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(thm)],[f20]) ).
fof(f64,plain,
! [A] :
( organization(A)
| ! [B,C] : ~ dissimilar(A,B,C) ),
inference(miniscoping,[status(thm)],[f21]) ).
fof(f65,plain,
! [X0,X1,X2] :
( organization(X0)
| ~ dissimilar(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f64]) ).
fof(f68,plain,
! [A,C] :
( ~ is_aligned(A,C)
| ! [B] :
( ~ is_aligned(A,B)
| ~ dissimilar(A,B,C) ) ),
inference(miniscoping,[status(thm)],[f23]) ).
fof(f69,plain,
! [X0,X1,X2] :
( ~ is_aligned(X0,X2)
| ~ is_aligned(X0,X1)
| ~ dissimilar(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f68]) ).
fof(f72,plain,
! [X0,X1,X2] :
( dissimilar(X0,X1,X2)
| is_aligned(X0,X2)
| ~ is_aligned(X0,X1)
| ~ organization(X0) ),
inference(cnf_transformation,[status(thm)],[f25]) ).
fof(f76,plain,
! [X0,X1] :
( is_aligned(X0,X1)
| age(X0,X1) != zero
| ~ organization(X0) ),
inference(cnf_transformation,[status(thm)],[f28]) ).
fof(f77,plain,
! [X0,X1,X2] :
( greater(capability(X0,X1),capability(X0,X2))
| is_aligned(X0,X2)
| ~ is_aligned(X0,X1)
| ~ organization(X0) ),
inference(cnf_transformation,[status(thm)],[f29]) ).
fof(f78,plain,
! [X0,X1,X2] :
( dissimilar(X0,X1,X2)
| ~ greater(age(X0,X2),sigma)
| age(X0,X1) != zero
| ~ organization(X0) ),
inference(cnf_transformation,[status(thm)],[f30]) ).
fof(f79,plain,
! [A,C] :
( greater(age(A,C),sigma)
| ! [B] :
( ~ dissimilar(A,B,C)
| age(A,B) != zero
| ~ organization(A) ) ),
inference(miniscoping,[status(thm)],[f31]) ).
fof(f80,plain,
! [X0,X1,X2] :
( greater(age(X0,X2),sigma)
| ~ dissimilar(X0,X1,X2)
| age(X0,X1) != zero
| ~ organization(X0) ),
inference(cnf_transformation,[status(thm)],[f79]) ).
fof(f81,plain,
! [X0,X1,X2] :
( greater(hazard_of_mortality(X0,X1),hazard_of_mortality(X0,X2))
| ~ greater(capability(X0,X2),capability(X0,X1))
| has_immunity(X0,X2)
| has_immunity(X0,X1)
| ~ organization(X0) ),
inference(cnf_transformation,[status(thm)],[f32]) ).
fof(f82,plain,
organization(sk2),
inference(cnf_transformation,[status(thm)],[f33]) ).
fof(f83,plain,
has_endowment(sk2),
inference(cnf_transformation,[status(thm)],[f34]) ).
fof(f84,plain,
age(sk2,sk3) = zero,
inference(cnf_transformation,[status(thm)],[f35]) ).
fof(f85,plain,
smaller_or_equal(age(sk2,sk4),eta),
inference(cnf_transformation,[status(thm)],[f36]) ).
fof(f86,plain,
greater(age(sk2,sk5),eta),
inference(cnf_transformation,[status(thm)],[f37]) ).
fof(f87,plain,
smaller_or_equal(age(sk2,sk5),sigma),
inference(cnf_transformation,[status(thm)],[f38]) ).
fof(f88,plain,
greater(age(sk2,sk6),sigma),
inference(cnf_transformation,[status(thm)],[f39]) ).
fof(f89,plain,
greater(sigma,eta),
inference(cnf_transformation,[status(thm)],[f40]) ).
fof(f90,plain,
greater(eta,zero),
inference(cnf_transformation,[status(thm)],[f41]) ).
fof(f91,plain,
( hazard_of_mortality(sk2,sk4) != hazard_of_mortality(sk2,sk3)
| ~ greater(hazard_of_mortality(sk2,sk5),hazard_of_mortality(sk2,sk4))
| ~ greater(hazard_of_mortality(sk2,sk6),hazard_of_mortality(sk2,sk5)) ),
inference(cnf_transformation,[status(thm)],[f42]) ).
fof(f92,definition,
( sQ0_spl
<=> greater(hazard_of_mortality(sk2,sk6),hazard_of_mortality(sk2,sk5)) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f94,plain,
( sQ0_spl
| ~ greater(hazard_of_mortality(sk2,sk6),hazard_of_mortality(sk2,sk5)) ),
inference(component_clause,[status(thm)],[f92]) ).
fof(f95,definition,
( sQ1_spl
<=> greater(hazard_of_mortality(sk2,sk5),hazard_of_mortality(sk2,sk4)) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f97,plain,
( sQ1_spl
| ~ greater(hazard_of_mortality(sk2,sk5),hazard_of_mortality(sk2,sk4)) ),
inference(component_clause,[status(thm)],[f95]) ).
fof(f98,definition,
( sQ2_spl
<=> hazard_of_mortality(sk2,sk4) = hazard_of_mortality(sk2,sk3) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f99,plain,
( ~ sQ2_spl
| hazard_of_mortality(sk2,sk4) = hazard_of_mortality(sk2,sk3) ),
inference(component_clause,[status(thm)],[f98]) ).
fof(f100,plain,
( sQ2_spl
| hazard_of_mortality(sk2,sk4) != hazard_of_mortality(sk2,sk3) ),
inference(component_clause,[status(thm)],[f98]) ).
fof(f101,plain,
( ~ sQ2_spl
| ~ sQ1_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f91,f92,f95,f98]) ).
fof(f108,plain,
~ greater(sigma,age(sk2,sk6)),
inference(resolution,[status(thm)],[f88,f51]) ).
fof(f112,plain,
! [X0] :
( greater(X0,eta)
| ~ greater(X0,sigma) ),
inference(resolution,[status(thm)],[f53,f89]) ).
fof(f113,plain,
( has_immunity(sk2,sk4)
| ~ has_endowment(sk2) ),
inference(resolution,[status(thm)],[f56,f85]) ).
fof(f114,plain,
( has_immunity(sk2,sk3)
| ~ smaller_or_equal(zero,eta)
| ~ has_endowment(sk2) ),
inference(paramodulation,[status(thm)],[f84,f56]) ).
fof(f115,definition,
( sQ3_spl
<=> has_endowment(sk2) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f117,plain,
( sQ3_spl
| ~ has_endowment(sk2) ),
inference(component_clause,[status(thm)],[f115]) ).
fof(f118,definition,
( sQ4_spl
<=> has_immunity(sk2,sk4) ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f121,plain,
( sQ4_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f113,f115,f118]) ).
fof(f122,definition,
( sQ5_spl
<=> smaller_or_equal(zero,eta) ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f124,plain,
( sQ5_spl
| ~ smaller_or_equal(zero,eta) ),
inference(component_clause,[status(thm)],[f122]) ).
fof(f125,definition,
( sQ6_spl
<=> has_immunity(sk2,sk3) ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f128,plain,
( sQ6_spl
| ~ sQ5_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f114,f115,f122,f125]) ).
fof(f129,plain,
( sQ3_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f117,f83]) ).
fof(f130,plain,
sQ3_spl,
inference(contradiction_clause,[status(thm)],[f129]) ).
fof(f135,plain,
smaller(sigma,age(sk2,sk6)),
inference(resolution,[status(thm)],[f50,f88]) ).
fof(f137,plain,
smaller(zero,eta),
inference(resolution,[status(thm)],[f50,f90]) ).
fof(f140,plain,
smaller_or_equal(zero,eta),
inference(resolution,[status(thm)],[f137,f44]) ).
fof(f141,plain,
( sQ5_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f140,f124]) ).
fof(f142,plain,
sQ5_spl,
inference(contradiction_clause,[status(thm)],[f141]) ).
fof(f147,plain,
( age(sk2,sk5) = sigma
| smaller(age(sk2,sk5),sigma) ),
inference(resolution,[status(thm)],[f43,f87]) ).
fof(f164,definition,
( sQ11_spl
<=> smaller(age(sk2,sk5),sigma) ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f165,plain,
( ~ sQ11_spl
| smaller(age(sk2,sk5),sigma) ),
inference(component_clause,[status(thm)],[f164]) ).
fof(f167,definition,
( sQ12_spl
<=> age(sk2,sk5) = sigma ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f168,plain,
( ~ sQ12_spl
| age(sk2,sk5) = sigma ),
inference(component_clause,[status(thm)],[f167]) ).
fof(f170,plain,
( sQ12_spl
| sQ11_spl ),
inference(split_clause,[status(thm)],[f147,f164,f167]) ).
fof(f250,definition,
( sQ18_spl
<=> has_immunity(sk2,sk5) ),
introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition]) ).
fof(f252,plain,
( sQ18_spl
| ~ has_immunity(sk2,sk5) ),
inference(component_clause,[status(thm)],[f250]) ).
fof(f277,plain,
( sQ2_spl
| ~ has_immunity(sk2,sk3)
| ~ has_immunity(sk2,sk4)
| ~ organization(sk2) ),
inference(resolution,[status(thm)],[f62,f100]) ).
fof(f279,definition,
( sQ19_spl
<=> organization(sk2) ),
introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition]) ).
fof(f281,plain,
( sQ19_spl
| ~ organization(sk2) ),
inference(component_clause,[status(thm)],[f279]) ).
fof(f282,plain,
( sQ2_spl
| ~ sQ6_spl
| ~ sQ4_spl
| ~ sQ19_spl ),
inference(split_clause,[status(thm)],[f277,f279,f118,f125,f98]) ).
fof(f284,plain,
( sQ19_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f281,f82]) ).
fof(f285,plain,
sQ19_spl,
inference(contradiction_clause,[status(thm)],[f284]) ).
fof(f312,plain,
( is_aligned(sk2,sk3)
| ~ organization(sk2) ),
inference(resolution,[status(thm)],[f76,f84]) ).
fof(f314,definition,
( sQ20_spl
<=> is_aligned(sk2,sk3) ),
introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition]) ).
fof(f317,plain,
( sQ20_spl
| ~ sQ19_spl ),
inference(split_clause,[status(thm)],[f312,f279,f314]) ).
fof(f384,plain,
! [X0,X1,X2] :
( greater(age(X0,X2),sigma)
| ~ dissimilar(X0,X1,X2)
| age(X0,X1) != zero ),
inference(forward_subsumption_resolution,[status(thm)],[f80,f65]) ).
fof(f385,plain,
! [X0] :
( greater(age(sk2,X0),sigma)
| ~ dissimilar(sk2,sk3,X0) ),
inference(resolution,[status(thm)],[f84,f384]) ).
fof(f386,plain,
! [X0] :
( dissimilar(sk2,sk3,X0)
| ~ greater(age(sk2,X0),sigma)
| ~ organization(sk2) ),
inference(resolution,[status(thm)],[f84,f78]) ).
fof(f389,definition,
! [X0] :
( sQ25_spl
<=> ( dissimilar(sk2,sk3,X0)
| ~ greater(age(sk2,X0),sigma) ) ),
introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition]) ).
fof(f390,plain,
! [X0] :
( ~ sQ25_spl
| dissimilar(sk2,sk3,X0)
| ~ greater(age(sk2,X0),sigma) ),
inference(component_clause,[status(thm)],[f389]) ).
fof(f392,plain,
( sQ25_spl
| ~ sQ19_spl ),
inference(split_clause,[status(thm)],[f386,f279,f389]) ).
fof(f400,plain,
greater(age(sk2,sk6),eta),
inference(resolution,[status(thm)],[f112,f88]) ).
fof(f405,definition,
( sQ28_spl
<=> age(sk2,sk6) = sigma ),
introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition]) ).
fof(f406,plain,
( ~ sQ28_spl
| age(sk2,sk6) = sigma ),
inference(component_clause,[status(thm)],[f405]) ).
fof(f418,plain,
smaller_or_equal(sigma,age(sk2,sk6)),
inference(resolution,[status(thm)],[f135,f44]) ).
fof(f423,plain,
( ~ sQ11_spl
| greater(sigma,age(sk2,sk5)) ),
inference(resolution,[status(thm)],[f165,f49]) ).
fof(f461,plain,
! [X0,X1,X2] :
( greater(hazard_of_mortality(X0,X1),hazard_of_mortality(X0,X2))
| ~ greater(capability(X0,X2),capability(X0,X1))
| has_immunity(X0,X1)
| ~ organization(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f81,f63]) ).
fof(f462,plain,
! [X0,X1,X2] :
( is_aligned(X0,X1)
| ~ is_aligned(X0,X2)
| ~ organization(X0)
| greater(hazard_of_mortality(X0,X1),hazard_of_mortality(X0,X2))
| has_immunity(X0,X1)
| ~ organization(X0) ),
inference(resolution,[status(thm)],[f461,f77]) ).
fof(f464,plain,
! [X0,X1,X2] :
( is_aligned(X0,X1)
| ~ is_aligned(X0,X2)
| greater(hazard_of_mortality(X0,X1),hazard_of_mortality(X0,X2))
| has_immunity(X0,X1)
| ~ organization(X0) ),
inference(duplicate_literals_removal,[status(thm)],[f462]) ).
fof(f469,definition,
( sQ32_spl
<=> has_immunity(sk2,sk6) ),
introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition]) ).
fof(f485,plain,
( sigma = age(sk2,sk6)
| smaller(sigma,age(sk2,sk6)) ),
inference(resolution,[status(thm)],[f418,f43]) ).
fof(f486,definition,
( sQ35_spl
<=> smaller(sigma,age(sk2,sk6)) ),
introduced(definition,[new_symbols(definition,[sQ35_spl])],[split_symbol_definition]) ).
fof(f487,plain,
( ~ sQ35_spl
| smaller(sigma,age(sk2,sk6)) ),
inference(component_clause,[status(thm)],[f486]) ).
fof(f489,plain,
( sQ28_spl
| sQ35_spl ),
inference(split_clause,[status(thm)],[f485,f486,f405]) ).
fof(f494,plain,
( ~ sQ28_spl
| ~ greater(sigma,sigma) ),
inference(backward_demodulation,[status(thm)],[f406,f108]) ).
fof(f495,plain,
( ~ sQ28_spl
| greater(sigma,sigma) ),
inference(backward_demodulation,[status(thm)],[f406,f88]) ).
fof(f527,plain,
! [X0] :
( ~ sQ2_spl
| greater(hazard_of_mortality(sk2,X0),hazard_of_mortality(sk2,sk4))
| has_immunity(sk2,X0)
| ~ has_immunity(sk2,sk3)
| ~ organization(sk2) ),
inference(paramodulation,[status(thm)],[f99,f63]) ).
fof(f531,definition,
! [X0] :
( sQ39_spl
<=> ( greater(hazard_of_mortality(sk2,X0),hazard_of_mortality(sk2,sk4))
| has_immunity(sk2,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ39_spl])],[split_symbol_definition]) ).
fof(f532,plain,
! [X0] :
( ~ sQ39_spl
| greater(hazard_of_mortality(sk2,X0),hazard_of_mortality(sk2,sk4))
| has_immunity(sk2,X0) ),
inference(component_clause,[status(thm)],[f531]) ).
fof(f534,plain,
( ~ sQ2_spl
| sQ39_spl
| ~ sQ6_spl
| ~ sQ19_spl ),
inference(split_clause,[status(thm)],[f527,f279,f125,f531,f98]) ).
fof(f551,plain,
( ~ sQ11_spl
| ~ greater(age(sk2,sk5),sigma) ),
inference(resolution,[status(thm)],[f423,f51]) ).
fof(f576,plain,
( ~ sQ35_spl
| greater(age(sk2,sk6),sigma) ),
inference(resolution,[status(thm)],[f487,f49]) ).
fof(f645,plain,
( ~ has_immunity(sk2,sk6)
| ~ has_endowment(sk2) ),
inference(resolution,[status(thm)],[f57,f400]) ).
fof(f646,plain,
( ~ has_immunity(sk2,sk5)
| ~ has_endowment(sk2) ),
inference(resolution,[status(thm)],[f57,f86]) ).
fof(f651,plain,
( ~ sQ32_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f645,f115,f469]) ).
fof(f652,plain,
( ~ sQ18_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f646,f115,f250]) ).
fof(f751,definition,
( sQ51_spl
<=> is_aligned(sk2,sk5) ),
introduced(definition,[new_symbols(definition,[sQ51_spl])],[split_symbol_definition]) ).
fof(f1061,plain,
( ~ sQ11_spl
| ~ dissimilar(sk2,sk3,sk5) ),
inference(resolution,[status(thm)],[f385,f551]) ).
fof(f1085,plain,
( ~ sQ11_spl
| is_aligned(sk2,sk5)
| ~ is_aligned(sk2,sk3)
| ~ organization(sk2) ),
inference(resolution,[status(thm)],[f1061,f72]) ).
fof(f1087,plain,
( ~ sQ11_spl
| sQ51_spl
| ~ sQ20_spl
| ~ sQ19_spl ),
inference(split_clause,[status(thm)],[f1085,f279,f314,f751,f164]) ).
fof(f1108,plain,
( ~ sQ25_spl
| ~ sQ35_spl
| dissimilar(sk2,sk3,sk6) ),
inference(resolution,[status(thm)],[f576,f390]) ).
fof(f1115,plain,
( ~ sQ25_spl
| ~ sQ35_spl
| ~ is_aligned(sk2,sk6)
| ~ is_aligned(sk2,sk3) ),
inference(resolution,[status(thm)],[f1108,f69]) ).
fof(f1118,definition,
( sQ72_spl
<=> is_aligned(sk2,sk6) ),
introduced(definition,[new_symbols(definition,[sQ72_spl])],[split_symbol_definition]) ).
fof(f1121,plain,
( ~ sQ25_spl
| ~ sQ35_spl
| ~ sQ72_spl
| ~ sQ20_spl ),
inference(split_clause,[status(thm)],[f1115,f314,f1118,f486,f389]) ).
fof(f1129,definition,
( sQ74_spl
<=> greater(sigma,sigma) ),
introduced(definition,[new_symbols(definition,[sQ74_spl])],[split_symbol_definition]) ).
fof(f1130,plain,
( ~ sQ74_spl
| greater(sigma,sigma) ),
inference(component_clause,[status(thm)],[f1129]) ).
fof(f1133,plain,
( ~ sQ28_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f495,f494]) ).
fof(f1134,plain,
~ sQ28_spl,
inference(contradiction_clause,[status(thm)],[f1133]) ).
fof(f1198,plain,
( sQ0_spl
| is_aligned(sk2,sk6)
| ~ is_aligned(sk2,sk5)
| has_immunity(sk2,sk6)
| ~ organization(sk2) ),
inference(resolution,[status(thm)],[f464,f94]) ).
fof(f1207,plain,
( sQ0_spl
| sQ72_spl
| ~ sQ51_spl
| sQ32_spl
| ~ sQ19_spl ),
inference(split_clause,[status(thm)],[f1198,f279,f469,f751,f1118,f92]) ).
fof(f1217,plain,
( ~ sQ39_spl
| sQ1_spl
| has_immunity(sk2,sk5) ),
inference(resolution,[status(thm)],[f97,f532]) ).
fof(f1221,plain,
( ~ sQ39_spl
| sQ1_spl
| sQ18_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1217,f252]) ).
fof(f1222,plain,
( ~ sQ39_spl
| sQ1_spl
| sQ18_spl ),
inference(contradiction_clause,[status(thm)],[f1221]) ).
fof(f1238,plain,
( ~ sQ12_spl
| greater(sigma,sigma)
| ~ dissimilar(sk2,sk3,sk5) ),
inference(paramodulation,[status(thm)],[f168,f385]) ).
fof(f1244,definition,
( sQ81_spl
<=> dissimilar(sk2,sk3,sk5) ),
introduced(definition,[new_symbols(definition,[sQ81_spl])],[split_symbol_definition]) ).
fof(f1246,plain,
( sQ81_spl
| ~ dissimilar(sk2,sk3,sk5) ),
inference(component_clause,[status(thm)],[f1244]) ).
fof(f1248,plain,
( ~ sQ12_spl
| sQ74_spl
| ~ sQ81_spl ),
inference(split_clause,[status(thm)],[f1238,f1244,f1129,f167]) ).
fof(f1257,plain,
( sQ81_spl
| is_aligned(sk2,sk5)
| ~ is_aligned(sk2,sk3)
| ~ organization(sk2) ),
inference(resolution,[status(thm)],[f1246,f72]) ).
fof(f1259,plain,
( sQ81_spl
| sQ51_spl
| ~ sQ20_spl
| ~ sQ19_spl ),
inference(split_clause,[status(thm)],[f1257,f279,f314,f751,f1244]) ).
fof(f1271,plain,
( ~ sQ74_spl
| ~ greater(sigma,sigma) ),
inference(resolution,[status(thm)],[f1130,f51]) ).
fof(f1272,plain,
~ sQ74_spl,
inference(split_clause,[status(thm)],[f1271,f1129]) ).
fof(f1273,plain,
$false,
inference(sat_refutation,[status(thm)],[f101,f121,f128,f130,f142,f170,f282,f285,f317,f392,f489,f534,f651,f652,f1087,f1121,f1134,f1207,f1222,f1248,f1259,f1272]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT055-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.50 % Computer : n008.cluster.edu
% 0.09/0.50 % Model : x86_64 x86_64
% 0.09/0.50 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.50 % Memory : 8046.5625MB
% 0.09/0.50 % OS : Linux 6.8.0-71-generic
% 0.09/0.50 % CPULimit : 300
% 0.09/0.50 % WCLimit : 300
% 0.09/0.50 % DateTime : Mon Sep 21 01:24:54 UTC 2026
% 0.09/0.51 % CPUTime :
% 0.09/0.52 % Drodi V4.1.1
% 0.09/0.57 % Refutation found
% 0.09/0.57 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.09/0.57 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.28/0.60 % Elapsed time: 0.087798 seconds
% 0.28/0.60 % CPU time: 0.405603 seconds
% 0.28/0.60 % Total memory used: 107.682 MB
% 0.28/0.60 % Net memory used: 107.021 MB
%------------------------------------------------------------------------------