%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : MGT056+1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n005.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 : Tue Sep 29 12:02:45 PM UTC 2026
% Result : Theorem 0.14s 0.43s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 19
% Syntax : Number of formulae : 123 ( 22 unt; 9 def)
% Number of atoms : 323 ( 40 equ)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 322 ( 122 ~; 124 |; 52 &)
% ( 13 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 18 ( 16 usr; 10 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 7 con; 0-2 aty)
% Number of variables : 102 ( 0 sgn 94 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( smaller_or_equal(X0,X1)
<=> ( smaller(X0,X1)
| X0 = X1 ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MGT001+0.ax',definition_smaller_or_equal) ).
fof(f2,axiom,
! [X0,X1] :
( greater_or_equal(X0,X1)
<=> ( greater(X0,X1)
| X0 = X1 ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MGT001+0.ax',definition_greater_or_equal) ).
fof(f3,axiom,
! [X0,X1] :
( smaller(X0,X1)
<=> greater(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MGT001+0.ax',definition_smaller) ).
fof(f4,axiom,
! [X0,X1] :
~ ( greater(X0,X1)
& greater(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MGT001+0.ax',meaning_postulate_greater_strict) ).
fof(f5,axiom,
! [X0,X1,X2] :
( ( greater(X0,X1)
& greater(X1,X2) )
=> greater(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MGT001+0.ax',meaning_postulate_greater_transitive) ).
fof(f6,axiom,
! [X0,X1] :
( smaller(X0,X1)
| X0 = X1
| greater(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MGT001+0.ax',meaning_postulate_greater_comparable) ).
fof(f7,axiom,
! [X0] :
( has_endowment(X0)
<=> ! [X1] :
( organization(X0)
& ( smaller_or_equal(age(X0,X1),eta)
=> has_immunity(X0,X1) )
& ( greater(age(X0,X1),eta)
=> ~ has_immunity(X0,X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_1) ).
fof(f8,axiom,
! [X0,X1,X2] :
( ( organization(X0)
& has_immunity(X0,X1)
& has_immunity(X0,X2) )
=> hazard_of_mortality(X0,X1) = hazard_of_mortality(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_2) ).
fof(f9,axiom,
! [X0,X1,X2] :
( ( organization(X0)
& has_immunity(X0,X1)
& ~ has_immunity(X0,X2) )
=> greater(hazard_of_mortality(X0,X2),hazard_of_mortality(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_3) ).
fof(f10,conjecture,
! [X0,X1,X2,X3] :
( ( organization(X0)
& has_endowment(X0)
& age(X0,X1) = zero
& smaller_or_equal(age(X0,X2),eta)
& greater(age(X0,X3),eta)
& greater_or_equal(eta,sigma)
& greater(sigma,zero) )
=> ( greater(hazard_of_mortality(X0,X3),hazard_of_mortality(X0,X2))
& hazard_of_mortality(X0,X2) = hazard_of_mortality(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lemma_9) ).
fof(f11,negated_conjecture,
~ ! [X0,X1,X2,X3] :
( ( organization(X0)
& has_endowment(X0)
& age(X0,X1) = zero
& smaller_or_equal(age(X0,X2),eta)
& greater(age(X0,X3),eta)
& greater_or_equal(eta,sigma)
& greater(sigma,zero) )
=> ( greater(hazard_of_mortality(X0,X3),hazard_of_mortality(X0,X2))
& hazard_of_mortality(X0,X2) = hazard_of_mortality(X0,X1) ) ),
inference(negated_conjecture,[status(cth)],[f10]) ).
fof(f12,plain,
! [X0] :
( has_endowment(X0)
=> ! [X1] :
( organization(X0)
& ( smaller_or_equal(age(X0,X1),eta)
=> has_immunity(X0,X1) )
& ( greater(age(X0,X1),eta)
=> ~ has_immunity(X0,X1) ) ) ),
inference(unused_predicate_definition_removal,[],[f7]) ).
fof(f13,plain,
! [X0,X1] :
( greater_or_equal(X0,X1)
=> ( greater(X0,X1)
| X0 = X1 ) ),
inference(unused_predicate_definition_removal,[],[f2]) ).
fof(f14,plain,
! [X0,X1] :
( greater(X0,X1)
| X0 = X1
| ~ greater_or_equal(X0,X1) ),
inference(ennf_transformation,[],[f13]) ).
fof(f15,plain,
! [X0,X1] :
( greater(X0,X1)
| X0 = X1
| ~ greater_or_equal(X0,X1) ),
inference(flattening,[],[f14]) ).
fof(f16,plain,
! [X0,X1] :
( ~ greater(X0,X1)
| ~ greater(X1,X0) ),
inference(ennf_transformation,[],[f4]) ).
fof(f17,plain,
! [X0,X1,X2] :
( greater(X0,X2)
| ~ greater(X0,X1)
| ~ greater(X1,X2) ),
inference(ennf_transformation,[],[f5]) ).
fof(f18,plain,
! [X0,X1,X2] :
( greater(X0,X2)
| ~ greater(X0,X1)
| ~ greater(X1,X2) ),
inference(flattening,[],[f17]) ).
fof(f19,plain,
! [X0] :
( ! [X1] :
( organization(X0)
& ( has_immunity(X0,X1)
| ~ smaller_or_equal(age(X0,X1),eta) )
& ( ~ has_immunity(X0,X1)
| ~ greater(age(X0,X1),eta) ) )
| ~ has_endowment(X0) ),
inference(ennf_transformation,[],[f12]) ).
fof(f20,plain,
! [X0,X1,X2] :
( hazard_of_mortality(X0,X1) = hazard_of_mortality(X0,X2)
| ~ organization(X0)
| ~ has_immunity(X0,X1)
| ~ has_immunity(X0,X2) ),
inference(ennf_transformation,[],[f8]) ).
fof(f21,plain,
! [X0,X1,X2] :
( hazard_of_mortality(X0,X1) = hazard_of_mortality(X0,X2)
| ~ organization(X0)
| ~ has_immunity(X0,X1)
| ~ has_immunity(X0,X2) ),
inference(flattening,[],[f20]) ).
fof(f22,plain,
! [X0,X1,X2] :
( greater(hazard_of_mortality(X0,X2),hazard_of_mortality(X0,X1))
| ~ organization(X0)
| ~ has_immunity(X0,X1)
| has_immunity(X0,X2) ),
inference(ennf_transformation,[],[f9]) ).
fof(f23,plain,
! [X0,X1,X2] :
( greater(hazard_of_mortality(X0,X2),hazard_of_mortality(X0,X1))
| ~ organization(X0)
| ~ has_immunity(X0,X1)
| has_immunity(X0,X2) ),
inference(flattening,[],[f22]) ).
fof(f24,plain,
? [X0,X1,X2,X3] :
( ( ~ greater(hazard_of_mortality(X0,X3),hazard_of_mortality(X0,X2))
| hazard_of_mortality(X0,X1) != hazard_of_mortality(X0,X2) )
& organization(X0)
& has_endowment(X0)
& age(X0,X1) = zero
& smaller_or_equal(age(X0,X2),eta)
& greater(age(X0,X3),eta)
& greater_or_equal(eta,sigma)
& greater(sigma,zero) ),
inference(ennf_transformation,[],[f11]) ).
fof(f25,plain,
? [X0,X1,X2,X3] :
( ( ~ greater(hazard_of_mortality(X0,X3),hazard_of_mortality(X0,X2))
| hazard_of_mortality(X0,X1) != hazard_of_mortality(X0,X2) )
& organization(X0)
& has_endowment(X0)
& age(X0,X1) = zero
& smaller_or_equal(age(X0,X2),eta)
& greater(age(X0,X3),eta)
& greater_or_equal(eta,sigma)
& greater(sigma,zero) ),
inference(flattening,[],[f24]) ).
fof(f26,plain,
! [X0,X1] :
( ( smaller_or_equal(X0,X1)
| ( ~ smaller(X0,X1)
& X0 != X1 ) )
& ( smaller(X0,X1)
| X0 = X1
| ~ smaller_or_equal(X0,X1) ) ),
inference(nnf_transformation,[],[f1]) ).
fof(f27,plain,
! [X0,X1] :
( ( smaller_or_equal(X0,X1)
| ( ~ smaller(X0,X1)
& X0 != X1 ) )
& ( smaller(X0,X1)
| X0 = X1
| ~ smaller_or_equal(X0,X1) ) ),
inference(flattening,[],[f26]) ).
fof(f28,plain,
! [X0,X1] :
( ( smaller(X0,X1)
| ~ greater(X1,X0) )
& ( greater(X1,X0)
| ~ smaller(X0,X1) ) ),
inference(nnf_transformation,[],[f3]) ).
fof(f29,plain,
( ( ~ greater(hazard_of_mortality(sK0,sK3),hazard_of_mortality(sK0,sK2))
| hazard_of_mortality(sK0,sK2) != hazard_of_mortality(sK0,sK1) )
& organization(sK0)
& has_endowment(sK0)
& zero = age(sK0,sK1)
& smaller_or_equal(age(sK0,sK2),eta)
& greater(age(sK0,sK3),eta)
& greater_or_equal(eta,sigma)
& greater(sigma,zero) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3)],[f25]) ).
fof(f31,plain,
! [X0,X1] :
( smaller_or_equal(X0,X1)
| X0 != X1 ),
inference(cnf_transformation,[],[f27]) ).
fof(f32,plain,
! [X0,X1] :
( ~ smaller(X0,X1)
| smaller_or_equal(X0,X1) ),
inference(cnf_transformation,[],[f27]) ).
fof(f33,plain,
! [X0,X1] :
( ~ greater_or_equal(X0,X1)
| X0 = X1
| greater(X0,X1) ),
inference(cnf_transformation,[],[f15]) ).
fof(f35,plain,
! [X0,X1] :
( ~ greater(X1,X0)
| smaller(X0,X1) ),
inference(cnf_transformation,[],[f28]) ).
fof(f36,plain,
! [X0,X1] :
( ~ greater(X1,X0)
| ~ greater(X0,X1) ),
inference(cnf_transformation,[],[f16]) ).
fof(f37,plain,
! [X2,X0,X1] :
( ~ greater(X1,X2)
| ~ greater(X0,X1)
| greater(X0,X2) ),
inference(cnf_transformation,[],[f18]) ).
fof(f38,plain,
! [X0,X1] :
( greater(X0,X1)
| X0 = X1
| smaller(X0,X1) ),
inference(cnf_transformation,[],[f6]) ).
fof(f39,plain,
! [X0,X1] :
( ~ greater(age(X0,X1),eta)
| ~ has_immunity(X0,X1)
| ~ has_endowment(X0) ),
inference(cnf_transformation,[],[f19]) ).
fof(f40,plain,
! [X0,X1] :
( ~ smaller_or_equal(age(X0,X1),eta)
| has_immunity(X0,X1)
| ~ has_endowment(X0) ),
inference(cnf_transformation,[],[f19]) ).
fof(f42,plain,
! [X2,X0,X1] :
( ~ has_immunity(X0,X2)
| ~ organization(X0)
| ~ has_immunity(X0,X1)
| hazard_of_mortality(X0,X1) = hazard_of_mortality(X0,X2) ),
inference(cnf_transformation,[],[f21]) ).
fof(f43,plain,
! [X2,X0,X1] :
( greater(hazard_of_mortality(X0,X2),hazard_of_mortality(X0,X1))
| ~ organization(X0)
| ~ has_immunity(X0,X1)
| has_immunity(X0,X2) ),
inference(cnf_transformation,[],[f23]) ).
fof(f44,plain,
greater(sigma,zero),
inference(cnf_transformation,[],[f29]) ).
fof(f45,plain,
greater_or_equal(eta,sigma),
inference(cnf_transformation,[],[f29]) ).
fof(f46,plain,
greater(age(sK0,sK3),eta),
inference(cnf_transformation,[],[f29]) ).
fof(f47,plain,
smaller_or_equal(age(sK0,sK2),eta),
inference(cnf_transformation,[],[f29]) ).
fof(f48,plain,
zero = age(sK0,sK1),
inference(cnf_transformation,[],[f29]) ).
fof(f49,plain,
has_endowment(sK0),
inference(cnf_transformation,[],[f29]) ).
fof(f50,plain,
organization(sK0),
inference(cnf_transformation,[],[f29]) ).
fof(f51,plain,
( ~ greater(hazard_of_mortality(sK0,sK3),hazard_of_mortality(sK0,sK2))
| hazard_of_mortality(sK0,sK2) != hazard_of_mortality(sK0,sK1) ),
inference(cnf_transformation,[],[f29]) ).
fof(f52,plain,
! [X1] : smaller_or_equal(X1,X1),
inference(equality_resolution,[],[f31]) ).
fof(f54,definition,
( spl4_1
<=> hazard_of_mortality(sK0,sK2) = hazard_of_mortality(sK0,sK1) ),
introduced(definition,[new_symbols(definition,[spl4_1])],[avatar_definition]) ).
fof(f58,definition,
( spl4_2
<=> greater(hazard_of_mortality(sK0,sK3),hazard_of_mortality(sK0,sK2)) ),
introduced(definition,[new_symbols(definition,[spl4_2])],[avatar_definition]) ).
fof(f60,plain,
( ~ greater(hazard_of_mortality(sK0,sK3),hazard_of_mortality(sK0,sK2))
| spl4_2 ),
inference(avatar_component_clause,[],[f58]) ).
fof(f61,plain,
( ~ spl4_1
| ~ spl4_2 ),
inference(avatar_split_clause,[],[f51,f58,f54]) ).
fof(f80,plain,
( eta = sigma
| greater(eta,sigma) ),
inference(resolution,[],[f33,f45]) ).
fof(f82,definition,
( spl4_5
<=> greater(eta,sigma) ),
introduced(definition,[new_symbols(definition,[spl4_5])],[avatar_definition]) ).
fof(f84,plain,
( greater(eta,sigma)
| ~ spl4_5 ),
inference(avatar_component_clause,[],[f82]) ).
fof(f86,definition,
( spl4_6
<=> eta = sigma ),
introduced(definition,[new_symbols(definition,[spl4_6])],[avatar_definition]) ).
fof(f88,plain,
( eta = sigma
| ~ spl4_6 ),
inference(avatar_component_clause,[],[f86]) ).
fof(f89,plain,
( spl4_5
| spl4_6 ),
inference(avatar_split_clause,[],[f80,f86,f82]) ).
fof(f92,plain,
! [X0] :
( ~ greater(X0,sigma)
| greater(X0,zero) ),
inference(resolution,[],[f37,f44]) ).
fof(f106,plain,
( ~ has_immunity(sK0,sK3)
| ~ has_endowment(sK0) ),
inference(resolution,[],[f39,f46]) ).
fof(f110,plain,
~ has_immunity(sK0,sK3),
inference(forward_subsumption_resolution,[],[f106,f49]) ).
fof(f112,definition,
( spl4_8
<=> has_immunity(sK0,sK1) ),
introduced(definition,[new_symbols(definition,[spl4_8])],[avatar_definition]) ).
fof(f113,plain,
( has_immunity(sK0,sK1)
| ~ spl4_8 ),
inference(avatar_component_clause,[],[f112]) ).
fof(f116,definition,
( spl4_9
<=> greater(zero,eta) ),
introduced(definition,[new_symbols(definition,[spl4_9])],[avatar_definition]) ).
fof(f117,plain,
( greater(zero,eta)
| ~ spl4_9 ),
inference(avatar_component_clause,[],[f116]) ).
fof(f118,plain,
( ~ greater(zero,eta)
| spl4_9 ),
inference(avatar_component_clause,[],[f116]) ).
fof(f120,plain,
( greater(eta,zero)
| ~ spl4_6 ),
inference(superposition,[],[f44,f88]) ).
fof(f128,plain,
( has_immunity(sK0,sK2)
| ~ has_endowment(sK0) ),
inference(resolution,[],[f40,f47]) ).
fof(f129,plain,
( ~ smaller_or_equal(zero,eta)
| has_immunity(sK0,sK1)
| ~ has_endowment(sK0) ),
inference(superposition,[],[f40,f48]) ).
fof(f130,plain,
( ~ smaller_or_equal(zero,eta)
| has_immunity(sK0,sK1) ),
inference(forward_subsumption_resolution,[],[f129,f49]) ).
fof(f131,plain,
has_immunity(sK0,sK2),
inference(forward_subsumption_resolution,[],[f128,f49]) ).
fof(f133,definition,
( spl4_10
<=> smaller_or_equal(zero,eta) ),
introduced(definition,[new_symbols(definition,[spl4_10])],[avatar_definition]) ).
fof(f135,plain,
( ~ smaller_or_equal(zero,eta)
| spl4_10 ),
inference(avatar_component_clause,[],[f133]) ).
fof(f136,plain,
( spl4_8
| ~ spl4_10 ),
inference(avatar_split_clause,[],[f130,f133,f112]) ).
fof(f142,definition,
( spl4_11
<=> smaller(zero,eta) ),
introduced(definition,[new_symbols(definition,[spl4_11])],[avatar_definition]) ).
fof(f143,plain,
( ~ smaller(zero,eta)
| spl4_11 ),
inference(avatar_component_clause,[],[f142]) ).
fof(f144,plain,
( smaller(zero,eta)
| ~ spl4_11 ),
inference(avatar_component_clause,[],[f142]) ).
fof(f146,definition,
( spl4_12
<=> eta = zero ),
introduced(definition,[new_symbols(definition,[spl4_12])],[avatar_definition]) ).
fof(f148,plain,
( eta = zero
| ~ spl4_12 ),
inference(avatar_component_clause,[],[f146]) ).
fof(f150,plain,
! [X0] :
( ~ organization(sK0)
| ~ has_immunity(sK0,X0)
| hazard_of_mortality(sK0,sK2) = hazard_of_mortality(sK0,X0) ),
inference(resolution,[],[f131,f42]) ).
fof(f151,plain,
! [X0] :
( ~ has_immunity(sK0,X0)
| hazard_of_mortality(sK0,sK2) = hazard_of_mortality(sK0,X0) ),
inference(forward_subsumption_resolution,[],[f150,f50]) ).
fof(f158,plain,
( smaller(zero,eta)
| ~ spl4_6 ),
inference(resolution,[],[f120,f35]) ).
fof(f159,plain,
( spl4_11
| ~ spl4_6 ),
inference(avatar_split_clause,[],[f158,f86,f142]) ).
fof(f175,plain,
( smaller_or_equal(zero,eta)
| ~ spl4_11 ),
inference(resolution,[],[f144,f32]) ).
fof(f178,plain,
( spl4_10
| ~ spl4_11 ),
inference(avatar_split_clause,[],[f175,f142,f133]) ).
fof(f263,plain,
( hazard_of_mortality(sK0,sK2) = hazard_of_mortality(sK0,sK1)
| ~ spl4_8 ),
inference(resolution,[],[f151,f113]) ).
fof(f266,plain,
( spl4_1
| ~ spl4_8 ),
inference(avatar_split_clause,[],[f263,f112,f54]) ).
fof(f308,plain,
( ~ greater(eta,zero)
| ~ spl4_9 ),
inference(resolution,[],[f117,f36]) ).
fof(f311,plain,
( greater(eta,zero)
| ~ spl4_5 ),
inference(resolution,[],[f92,f84]) ).
fof(f362,plain,
( ~ organization(sK0)
| ~ has_immunity(sK0,sK2)
| has_immunity(sK0,sK3)
| spl4_2 ),
inference(resolution,[],[f60,f43]) ).
fof(f373,plain,
( ~ has_immunity(sK0,sK2)
| has_immunity(sK0,sK3)
| spl4_2 ),
inference(forward_subsumption_resolution,[],[f362,f50]) ).
fof(f374,plain,
( has_immunity(sK0,sK3)
| spl4_2 ),
inference(forward_subsumption_resolution,[],[f373,f131]) ).
fof(f375,plain,
( $false
| spl4_2 ),
inference(forward_subsumption_resolution,[],[f374,f110]) ).
fof(f376,plain,
spl4_2,
inference(avatar_contradiction_clause,[],[f375]) ).
fof(f377,plain,
( $false
| ~ spl4_5
| ~ spl4_9 ),
inference(forward_subsumption_resolution,[],[f311,f308]) ).
fof(f378,plain,
( ~ spl4_5
| ~ spl4_9 ),
inference(avatar_contradiction_clause,[],[f377]) ).
fof(f385,plain,
( eta = zero
| smaller(zero,eta)
| spl4_9 ),
inference(resolution,[],[f118,f38]) ).
fof(f386,plain,
( eta = zero
| spl4_9
| spl4_11 ),
inference(forward_subsumption_resolution,[],[f385,f143]) ).
fof(f387,plain,
( spl4_12
| spl4_9
| spl4_11 ),
inference(avatar_split_clause,[],[f386,f142,f116,f146]) ).
fof(f393,plain,
( ~ smaller_or_equal(eta,eta)
| spl4_10
| ~ spl4_12 ),
inference(superposition,[],[f135,f148]) ).
fof(f397,plain,
( $false
| spl4_10
| ~ spl4_12 ),
inference(forward_subsumption_resolution,[],[f393,f52]) ).
fof(f398,plain,
( spl4_10
| ~ spl4_12 ),
inference(avatar_contradiction_clause,[],[f397]) ).
cnf(s1,plain,
( ~ spl4_1
| ~ spl4_2 ),
inference(sat_conversion,[],[f61]) ).
cnf(s3,plain,
( spl4_5
| spl4_6 ),
inference(sat_conversion,[],[f89]) ).
cnf(s7,plain,
( spl4_8
| ~ spl4_10 ),
inference(sat_conversion,[],[f136]) ).
cnf(s9,plain,
( ~ spl4_6
| spl4_11 ),
inference(sat_conversion,[],[f159]) ).
cnf(s13,plain,
( spl4_10
| ~ spl4_11 ),
inference(sat_conversion,[],[f178]) ).
cnf(s20,plain,
( spl4_1
| ~ spl4_8 ),
inference(sat_conversion,[],[f266]) ).
cnf(s35,plain,
spl4_2,
inference(sat_conversion,[],[f376]) ).
cnf(s36,plain,
( ~ spl4_5
| ~ spl4_9 ),
inference(sat_conversion,[],[f378]) ).
cnf(s37,plain,
( spl4_9
| spl4_11
| spl4_12 ),
inference(sat_conversion,[],[f387]) ).
cnf(s38,plain,
( spl4_10
| ~ spl4_12 ),
inference(sat_conversion,[],[f398]) ).
cnf(s41,plain,
~ spl4_1,
inference(rat,[],[s1,s35]) ).
cnf(s42,plain,
~ spl4_8,
inference(rat,[],[s20,s41]) ).
cnf(s43,plain,
~ spl4_10,
inference(rat,[],[s7,s42]) ).
cnf(s44,plain,
~ spl4_12,
inference(rat,[],[s38,s43]) ).
cnf(s45,plain,
~ spl4_11,
inference(rat,[],[s13,s43]) ).
cnf(s46,plain,
spl4_9,
inference(rat,[],[s37,s44,s45]) ).
cnf(s48,plain,
~ spl4_6,
inference(rat,[],[s9,s45]) ).
cnf(s49,plain,
~ spl4_5,
inference(rat,[],[s36,s46]) ).
cnf(s50,plain,
$false,
inference(rat,[],[s3,s48,s49]) ).
fof(f403,plain,
$false,
inference(avatar_sat_refutation,[],[s50]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT056+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.35 % Computer : n005.cluster.edu
% 0.10/0.35 % Model : x86_64 x86_64
% 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35 % Memory : 8046.5625MB
% 0.10/0.35 % OS : Linux 6.8.0-71-generic
% 0.10/0.35 % CPULimit : 300
% 0.10/0.35 % WCLimit : 300
% 0.10/0.35 % DateTime : Sun Sep 27 17:29:17 UTC 2026
% 0.10/0.35 % CPUTime :
% 0.10/0.35 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.14/0.38 Running first-order model finding
% 0.14/0.38 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.43 % (42674)Will run a generic schedule for satisfiability detection.
% 0.14/0.43 % (42683)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3102320049:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.14/0.43 % (42680)% WARNING: option uhcvi not known.
% 0.14/0.43 % (42680)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=472450277:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.14/0.43 % (42682)dis+10_1_sil=32000:sp=arity:random_seed=317524391:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.14/0.43 % (42679)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2007728363_2999 on theBenchmark for (2999ds/0Mi)
% 0.14/0.43 % (42681)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=669416159:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.14/0.43 % (42685)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2427609403:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.14/0.43 % (42684)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1651317179:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.14/0.43 % TRYING [1]
% 0.14/0.43 % TRYING [2]
% 0.14/0.43 % TRYING [3]
% 0.14/0.43 % TRYING [4]
% 0.14/0.43 % TRYING [5]
% 0.14/0.43 % (42682) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-42674-42682"...
% 0.14/0.43 % (42682)...printing done.
% 0.14/0.43 % TRYING [6]
% 0.14/0.43 % (42682)Refutation found. Thanks to Tanya!
% 0.14/0.43 % SZS status Theorem for theBenchmark
% 0.14/0.43 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.43 % (42682)------------------------------
% 0.14/0.43 % (42682)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.14/0.43 % (42682)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.14/0.43 % (42682)CaDiCaL version: 2.1.3
% 0.14/0.43 % (42682)Termination reason: Refutation
% 0.14/0.43 % (42682)Time elapsed: 0.010 s
% 0.14/0.43 % (42682)Peak memory usage: 12 MB
% 0.14/0.43 % (42682)Instructions burned: 13 (million)
% 0.14/0.43 % (42674)Success in time 0.035 s
% 0.14/0.43 % Vampire exiting
%------------------------------------------------------------------------------