%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : MGT060+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 : n019.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 12:02:46 PM UTC 2026
% Result : Theorem 0.11s 0.45s
% Output : Refutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 20
% Syntax : Number of formulae : 146 ( 31 unt; 10 def)
% Number of atoms : 410 ( 103 equ)
% Maximal formula atoms : 16 ( 2 avg)
% Number of connectives : 414 ( 150 ~; 211 |; 31 &)
% ( 11 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 18 ( 16 usr; 11 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 8 con; 0-2 aty)
% Number of variables : 73 ( 0 sgn 67 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
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,X1] :
( organization(X0)
=> ( ( has_immunity(X0,X1)
=> hazard_of_mortality(X0,X1) = very_low )
& ( ~ has_immunity(X0,X1)
=> ( ( ( is_aligned(X0,X1)
& positional_advantage(X0,X1) )
=> hazard_of_mortality(X0,X1) = low )
& ( ( ~ is_aligned(X0,X1)
& positional_advantage(X0,X1) )
=> hazard_of_mortality(X0,X1) = mod1 )
& ( ( is_aligned(X0,X1)
& ~ positional_advantage(X0,X1) )
=> hazard_of_mortality(X0,X1) = mod2 )
& ( ( ~ is_aligned(X0,X1)
& ~ positional_advantage(X0,X1) )
=> hazard_of_mortality(X0,X1) = high ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_17) ).
fof(f9,axiom,
greater(mod1,low),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_18b) ).
fof(f10,axiom,
greater(low,very_low),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_18c) ).
fof(f11,axiom,
greater(high,mod2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_18d) ).
fof(f12,axiom,
greater(mod2,low),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_18e) ).
fof(f13,conjecture,
! [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(f14,negated_conjecture,
~ ! [X0,X1,X2] :
( ( organization(X0)
& has_immunity(X0,X1)
& ~ has_immunity(X0,X2) )
=> greater(hazard_of_mortality(X0,X2),hazard_of_mortality(X0,X1)) ),
inference(negated_conjecture,[status(cth)],[f13]) ).
fof(f15,plain,
! [X0,X1] :
( smaller(X0,X1)
=> greater(X1,X0) ),
inference(unused_predicate_definition_removal,[],[f3]) ).
fof(f16,plain,
! [X0,X1] :
( greater(X1,X0)
| ~ smaller(X0,X1) ),
inference(ennf_transformation,[],[f15]) ).
fof(f17,plain,
! [X0,X1] :
( ~ greater(X0,X1)
| ~ greater(X1,X0) ),
inference(ennf_transformation,[],[f4]) ).
fof(f18,plain,
! [X0,X1,X2] :
( greater(X0,X2)
| ~ greater(X0,X1)
| ~ greater(X1,X2) ),
inference(ennf_transformation,[],[f5]) ).
fof(f19,plain,
! [X0,X1,X2] :
( greater(X0,X2)
| ~ greater(X0,X1)
| ~ greater(X1,X2) ),
inference(flattening,[],[f18]) ).
fof(f20,plain,
! [X0,X1] :
( ( ( hazard_of_mortality(X0,X1) = very_low
| ~ has_immunity(X0,X1) )
& ( ( ( hazard_of_mortality(X0,X1) = low
| ~ is_aligned(X0,X1)
| ~ positional_advantage(X0,X1) )
& ( hazard_of_mortality(X0,X1) = mod1
| is_aligned(X0,X1)
| ~ positional_advantage(X0,X1) )
& ( hazard_of_mortality(X0,X1) = mod2
| ~ is_aligned(X0,X1)
| positional_advantage(X0,X1) )
& ( hazard_of_mortality(X0,X1) = high
| is_aligned(X0,X1)
| positional_advantage(X0,X1) ) )
| has_immunity(X0,X1) ) )
| ~ organization(X0) ),
inference(ennf_transformation,[],[f7]) ).
fof(f21,plain,
! [X0,X1] :
( ( ( hazard_of_mortality(X0,X1) = very_low
| ~ has_immunity(X0,X1) )
& ( ( ( hazard_of_mortality(X0,X1) = low
| ~ is_aligned(X0,X1)
| ~ positional_advantage(X0,X1) )
& ( hazard_of_mortality(X0,X1) = mod1
| is_aligned(X0,X1)
| ~ positional_advantage(X0,X1) )
& ( hazard_of_mortality(X0,X1) = mod2
| ~ is_aligned(X0,X1)
| positional_advantage(X0,X1) )
& ( hazard_of_mortality(X0,X1) = high
| is_aligned(X0,X1)
| positional_advantage(X0,X1) ) )
| has_immunity(X0,X1) ) )
| ~ organization(X0) ),
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,[],[f14]) ).
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,
( ~ greater(hazard_of_mortality(sK0,sK2),hazard_of_mortality(sK0,sK1))
& organization(sK0)
& has_immunity(sK0,sK1)
& ~ has_immunity(sK0,sK2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2)],[f23]) ).
fof(f25,plain,
! [X0,X1] :
( ~ smaller(X0,X1)
| greater(X1,X0) ),
inference(cnf_transformation,[],[f16]) ).
fof(f26,plain,
! [X0,X1] :
( ~ greater(X0,X1)
| ~ greater(X1,X0) ),
inference(cnf_transformation,[],[f17]) ).
fof(f27,plain,
! [X2,X0,X1] :
( ~ greater(X0,X1)
| greater(X0,X2)
| ~ greater(X1,X2) ),
inference(cnf_transformation,[],[f19]) ).
fof(f28,plain,
! [X0,X1] :
( greater(X0,X1)
| X0 = X1
| smaller(X0,X1) ),
inference(cnf_transformation,[],[f6]) ).
fof(f29,plain,
! [X0,X1] :
( ~ organization(X0)
| is_aligned(X0,X1)
| positional_advantage(X0,X1)
| has_immunity(X0,X1)
| hazard_of_mortality(X0,X1) = high ),
inference(cnf_transformation,[],[f21]) ).
fof(f30,plain,
! [X0,X1] :
( ~ organization(X0)
| ~ is_aligned(X0,X1)
| positional_advantage(X0,X1)
| has_immunity(X0,X1)
| hazard_of_mortality(X0,X1) = mod2 ),
inference(cnf_transformation,[],[f21]) ).
fof(f31,plain,
! [X0,X1] :
( ~ organization(X0)
| is_aligned(X0,X1)
| ~ positional_advantage(X0,X1)
| has_immunity(X0,X1)
| hazard_of_mortality(X0,X1) = mod1 ),
inference(cnf_transformation,[],[f21]) ).
fof(f32,plain,
! [X0,X1] :
( ~ organization(X0)
| ~ is_aligned(X0,X1)
| ~ positional_advantage(X0,X1)
| has_immunity(X0,X1)
| hazard_of_mortality(X0,X1) = low ),
inference(cnf_transformation,[],[f21]) ).
fof(f33,plain,
! [X0,X1] :
( ~ organization(X0)
| ~ has_immunity(X0,X1)
| hazard_of_mortality(X0,X1) = very_low ),
inference(cnf_transformation,[],[f21]) ).
fof(f35,plain,
greater(mod1,low),
inference(cnf_transformation,[],[f9]) ).
fof(f36,plain,
greater(low,very_low),
inference(cnf_transformation,[],[f10]) ).
fof(f37,plain,
greater(high,mod2),
inference(cnf_transformation,[],[f11]) ).
fof(f38,plain,
greater(mod2,low),
inference(cnf_transformation,[],[f12]) ).
fof(f39,plain,
~ has_immunity(sK0,sK2),
inference(cnf_transformation,[],[f24]) ).
fof(f40,plain,
has_immunity(sK0,sK1),
inference(cnf_transformation,[],[f24]) ).
fof(f41,plain,
organization(sK0),
inference(cnf_transformation,[],[f24]) ).
fof(f42,plain,
~ greater(hazard_of_mortality(sK0,sK2),hazard_of_mortality(sK0,sK1)),
inference(cnf_transformation,[],[f24]) ).
fof(f43,plain,
~ greater(very_low,low),
inference(resolution,[],[f26,f36]) ).
fof(f47,plain,
~ greater(mod2,high),
inference(resolution,[],[f26,f37]) ).
fof(f48,plain,
! [X0] :
( ~ greater(very_low,X0)
| greater(low,X0) ),
inference(resolution,[],[f27,f36]) ).
fof(f49,plain,
! [X0] :
( ~ greater(low,X0)
| greater(mod1,X0) ),
inference(resolution,[],[f27,f35]) ).
fof(f50,plain,
! [X0] :
( ~ greater(low,X0)
| greater(mod2,X0) ),
inference(resolution,[],[f27,f38]) ).
fof(f53,plain,
( hazard_of_mortality(sK0,sK2) = hazard_of_mortality(sK0,sK1)
| smaller(hazard_of_mortality(sK0,sK2),hazard_of_mortality(sK0,sK1)) ),
inference(resolution,[],[f28,f42]) ).
fof(f62,definition,
( spl3_2
<=> very_low = low ),
introduced(definition,[new_symbols(definition,[spl3_2])],[avatar_definition]) ).
fof(f63,plain,
( very_low != low
| spl3_2 ),
inference(avatar_component_clause,[],[f62]) ).
fof(f64,plain,
( very_low = low
| ~ spl3_2 ),
inference(avatar_component_clause,[],[f62]) ).
fof(f67,definition,
( spl3_3
<=> smaller(hazard_of_mortality(sK0,sK2),hazard_of_mortality(sK0,sK1)) ),
introduced(definition,[new_symbols(definition,[spl3_3])],[avatar_definition]) ).
fof(f69,plain,
( smaller(hazard_of_mortality(sK0,sK2),hazard_of_mortality(sK0,sK1))
| ~ spl3_3 ),
inference(avatar_component_clause,[],[f67]) ).
fof(f71,definition,
( spl3_4
<=> hazard_of_mortality(sK0,sK2) = hazard_of_mortality(sK0,sK1) ),
introduced(definition,[new_symbols(definition,[spl3_4])],[avatar_definition]) ).
fof(f73,plain,
( hazard_of_mortality(sK0,sK2) = hazard_of_mortality(sK0,sK1)
| ~ spl3_4 ),
inference(avatar_component_clause,[],[f71]) ).
fof(f74,plain,
( spl3_3
| spl3_4 ),
inference(avatar_split_clause,[],[f53,f71,f67]) ).
fof(f75,plain,
( greater(hazard_of_mortality(sK0,sK1),hazard_of_mortality(sK0,sK2))
| ~ spl3_3 ),
inference(resolution,[],[f69,f25]) ).
fof(f76,plain,
! [X0] :
( ~ has_immunity(sK0,X0)
| very_low = hazard_of_mortality(sK0,X0) ),
inference(resolution,[],[f33,f41]) ).
fof(f79,plain,
! [X0] :
( positional_advantage(sK0,X0)
| is_aligned(sK0,X0)
| has_immunity(sK0,X0)
| high = hazard_of_mortality(sK0,X0) ),
inference(resolution,[],[f29,f41]) ).
fof(f80,plain,
very_low = hazard_of_mortality(sK0,sK1),
inference(resolution,[],[f76,f40]) ).
fof(f81,plain,
! [X0] :
( ~ is_aligned(sK0,X0)
| positional_advantage(sK0,X0)
| has_immunity(sK0,X0)
| mod2 = hazard_of_mortality(sK0,X0) ),
inference(resolution,[],[f30,f41]) ).
fof(f82,plain,
( greater(very_low,hazard_of_mortality(sK0,sK2))
| ~ spl3_3 ),
inference(superposition,[],[f75,f80]) ).
fof(f85,plain,
! [X0] :
( ~ positional_advantage(sK0,X0)
| is_aligned(sK0,X0)
| has_immunity(sK0,X0)
| mod1 = hazard_of_mortality(sK0,X0) ),
inference(resolution,[],[f31,f41]) ).
fof(f88,plain,
! [X0] :
( ~ positional_advantage(sK0,X0)
| ~ is_aligned(sK0,X0)
| has_immunity(sK0,X0)
| low = hazard_of_mortality(sK0,X0) ),
inference(resolution,[],[f32,f41]) ).
fof(f97,plain,
! [X0] :
( is_aligned(sK0,X0)
| has_immunity(sK0,X0)
| mod1 = hazard_of_mortality(sK0,X0)
| is_aligned(sK0,X0)
| has_immunity(sK0,X0)
| high = hazard_of_mortality(sK0,X0) ),
inference(resolution,[],[f85,f79]) ).
fof(f98,plain,
! [X0] :
( is_aligned(sK0,X0)
| has_immunity(sK0,X0)
| mod1 = hazard_of_mortality(sK0,X0)
| high = hazard_of_mortality(sK0,X0) ),
inference(duplicate_literal_removal,[],[f97]) ).
fof(f108,definition,
( spl3_5
<=> very_low = mod1 ),
introduced(definition,[new_symbols(definition,[spl3_5])],[avatar_definition]) ).
fof(f109,plain,
( very_low != mod1
| spl3_5 ),
inference(avatar_component_clause,[],[f108]) ).
fof(f110,plain,
( very_low = mod1
| ~ spl3_5 ),
inference(avatar_component_clause,[],[f108]) ).
fof(f121,definition,
( spl3_8
<=> low = hazard_of_mortality(sK0,sK2) ),
introduced(definition,[new_symbols(definition,[spl3_8])],[avatar_definition]) ).
fof(f122,plain,
( low != hazard_of_mortality(sK0,sK2)
| spl3_8 ),
inference(avatar_component_clause,[],[f121]) ).
fof(f123,plain,
( low = hazard_of_mortality(sK0,sK2)
| ~ spl3_8 ),
inference(avatar_component_clause,[],[f121]) ).
fof(f175,plain,
( greater(low,hazard_of_mortality(sK0,sK2))
| ~ spl3_3 ),
inference(resolution,[],[f48,f82]) ).
fof(f188,definition,
( spl3_18
<=> mod2 = hazard_of_mortality(sK0,sK2) ),
introduced(definition,[new_symbols(definition,[spl3_18])],[avatar_definition]) ).
fof(f190,plain,
( mod2 = hazard_of_mortality(sK0,sK2)
| ~ spl3_18 ),
inference(avatar_component_clause,[],[f188]) ).
fof(f197,definition,
( spl3_20
<=> mod1 = hazard_of_mortality(sK0,sK2) ),
introduced(definition,[new_symbols(definition,[spl3_20])],[avatar_definition]) ).
fof(f198,plain,
( mod1 != hazard_of_mortality(sK0,sK2)
| spl3_20 ),
inference(avatar_component_clause,[],[f197]) ).
fof(f199,plain,
( mod1 = hazard_of_mortality(sK0,sK2)
| ~ spl3_20 ),
inference(avatar_component_clause,[],[f197]) ).
fof(f212,plain,
( very_low = hazard_of_mortality(sK0,sK2)
| ~ spl3_4 ),
inference(forward_demodulation,[],[f73,f80]) ).
fof(f222,plain,
greater(mod2,very_low),
inference(resolution,[],[f50,f36]) ).
fof(f239,plain,
( ~ greater(low,hazard_of_mortality(sK0,sK1))
| ~ spl3_8 ),
inference(superposition,[],[f42,f123]) ).
fof(f246,plain,
( ~ greater(low,very_low)
| ~ spl3_8 ),
inference(forward_demodulation,[],[f239,f80]) ).
fof(f247,plain,
( $false
| ~ spl3_8 ),
inference(forward_subsumption_resolution,[],[f246,f36]) ).
fof(f248,plain,
~ spl3_8,
inference(avatar_contradiction_clause,[],[f247]) ).
fof(f249,plain,
( very_low != low
| ~ spl3_4
| spl3_8 ),
inference(forward_demodulation,[],[f122,f212]) ).
fof(f251,plain,
( $false
| ~ spl3_2
| ~ spl3_4
| spl3_8 ),
inference(forward_subsumption_resolution,[],[f249,f64]) ).
fof(f252,plain,
( ~ spl3_2
| ~ spl3_4
| spl3_8 ),
inference(avatar_contradiction_clause,[],[f251]) ).
fof(f270,plain,
! [X0] :
( has_immunity(sK0,X0)
| mod1 = hazard_of_mortality(sK0,X0)
| high = hazard_of_mortality(sK0,X0)
| positional_advantage(sK0,X0)
| has_immunity(sK0,X0)
| mod2 = hazard_of_mortality(sK0,X0) ),
inference(resolution,[],[f98,f81]) ).
fof(f271,plain,
! [X0] :
( positional_advantage(sK0,X0)
| mod1 = hazard_of_mortality(sK0,X0)
| high = hazard_of_mortality(sK0,X0)
| has_immunity(sK0,X0)
| mod2 = hazard_of_mortality(sK0,X0) ),
inference(duplicate_literal_removal,[],[f270]) ).
fof(f278,plain,
! [X0] :
( mod1 = hazard_of_mortality(sK0,X0)
| high = hazard_of_mortality(sK0,X0)
| has_immunity(sK0,X0)
| mod2 = hazard_of_mortality(sK0,X0)
| ~ is_aligned(sK0,X0)
| has_immunity(sK0,X0)
| low = hazard_of_mortality(sK0,X0) ),
inference(resolution,[],[f271,f88]) ).
fof(f281,plain,
! [X0] :
( mod1 = hazard_of_mortality(sK0,X0)
| high = hazard_of_mortality(sK0,X0)
| has_immunity(sK0,X0)
| mod2 = hazard_of_mortality(sK0,X0)
| ~ is_aligned(sK0,X0)
| low = hazard_of_mortality(sK0,X0) ),
inference(duplicate_literal_removal,[],[f278]) ).
fof(f282,plain,
! [X0] :
( has_immunity(sK0,X0)
| high = hazard_of_mortality(sK0,X0)
| mod1 = hazard_of_mortality(sK0,X0)
| mod2 = hazard_of_mortality(sK0,X0)
| low = hazard_of_mortality(sK0,X0) ),
inference(forward_subsumption_resolution,[],[f281,f98]) ).
fof(f284,plain,
( high = hazard_of_mortality(sK0,sK2)
| mod1 = hazard_of_mortality(sK0,sK2)
| mod2 = hazard_of_mortality(sK0,sK2)
| low = hazard_of_mortality(sK0,sK2) ),
inference(resolution,[],[f282,f39]) ).
fof(f286,plain,
( very_low = high
| mod1 = hazard_of_mortality(sK0,sK2)
| mod2 = hazard_of_mortality(sK0,sK2)
| low = hazard_of_mortality(sK0,sK2)
| ~ spl3_4 ),
inference(forward_demodulation,[],[f284,f212]) ).
fof(f287,plain,
( very_low = mod1
| very_low = high
| mod2 = hazard_of_mortality(sK0,sK2)
| low = hazard_of_mortality(sK0,sK2)
| ~ spl3_4 ),
inference(forward_demodulation,[],[f286,f212]) ).
fof(f288,plain,
( very_low = high
| mod2 = hazard_of_mortality(sK0,sK2)
| low = hazard_of_mortality(sK0,sK2)
| ~ spl3_4
| spl3_5 ),
inference(forward_subsumption_resolution,[],[f287,f109]) ).
fof(f289,plain,
( very_low = mod2
| very_low = high
| low = hazard_of_mortality(sK0,sK2)
| ~ spl3_4
| spl3_5 ),
inference(forward_demodulation,[],[f288,f212]) ).
fof(f290,plain,
( very_low = low
| very_low = mod2
| very_low = high
| ~ spl3_4
| spl3_5 ),
inference(forward_demodulation,[],[f289,f212]) ).
fof(f291,plain,
( very_low = mod2
| very_low = high
| spl3_2
| ~ spl3_4
| spl3_5 ),
inference(forward_subsumption_resolution,[],[f290,f63]) ).
fof(f293,definition,
( spl3_21
<=> very_low = high ),
introduced(definition,[new_symbols(definition,[spl3_21])],[avatar_definition]) ).
fof(f295,plain,
( very_low = high
| ~ spl3_21 ),
inference(avatar_component_clause,[],[f293]) ).
fof(f297,definition,
( spl3_22
<=> very_low = mod2 ),
introduced(definition,[new_symbols(definition,[spl3_22])],[avatar_definition]) ).
fof(f299,plain,
( very_low = mod2
| ~ spl3_22 ),
inference(avatar_component_clause,[],[f297]) ).
fof(f300,plain,
( spl3_21
| spl3_22
| spl3_2
| ~ spl3_4
| spl3_5 ),
inference(avatar_split_clause,[],[f291,f108,f71,f62,f297,f293]) ).
fof(f301,plain,
( ~ greater(mod2,very_low)
| ~ spl3_21 ),
inference(superposition,[],[f47,f295]) ).
fof(f307,plain,
( $false
| ~ spl3_21 ),
inference(forward_subsumption_resolution,[],[f301,f222]) ).
fof(f308,plain,
~ spl3_21,
inference(avatar_contradiction_clause,[],[f307]) ).
fof(f311,plain,
( greater(very_low,low)
| ~ spl3_22 ),
inference(superposition,[],[f38,f299]) ).
fof(f320,plain,
( $false
| ~ spl3_22 ),
inference(forward_subsumption_resolution,[],[f311,f43]) ).
fof(f321,plain,
~ spl3_22,
inference(avatar_contradiction_clause,[],[f320]) ).
fof(f324,plain,
( greater(very_low,low)
| ~ spl3_5 ),
inference(superposition,[],[f35,f110]) ).
fof(f333,plain,
( $false
| ~ spl3_5 ),
inference(forward_subsumption_resolution,[],[f324,f43]) ).
fof(f334,plain,
~ spl3_5,
inference(avatar_contradiction_clause,[],[f333]) ).
fof(f338,plain,
( high = hazard_of_mortality(sK0,sK2)
| mod1 = hazard_of_mortality(sK0,sK2)
| mod2 = hazard_of_mortality(sK0,sK2)
| spl3_8 ),
inference(forward_subsumption_resolution,[],[f284,f122]) ).
fof(f350,plain,
( greater(mod2,hazard_of_mortality(sK0,sK2))
| ~ spl3_3 ),
inference(resolution,[],[f175,f50]) ).
fof(f351,plain,
( greater(mod1,hazard_of_mortality(sK0,sK2))
| ~ spl3_3 ),
inference(resolution,[],[f175,f49]) ).
fof(f358,plain,
( greater(mod1,mod1)
| ~ spl3_3
| ~ spl3_20 ),
inference(forward_demodulation,[],[f351,f199]) ).
fof(f365,plain,
( ~ greater(mod1,mod1)
| ~ spl3_3
| ~ spl3_20 ),
inference(resolution,[],[f358,f26]) ).
fof(f366,plain,
( $false
| ~ spl3_3
| ~ spl3_20 ),
inference(forward_subsumption_resolution,[],[f365,f358]) ).
fof(f367,plain,
( ~ spl3_3
| ~ spl3_20 ),
inference(avatar_contradiction_clause,[],[f366]) ).
fof(f368,plain,
( high = hazard_of_mortality(sK0,sK2)
| mod2 = hazard_of_mortality(sK0,sK2)
| spl3_8
| spl3_20 ),
inference(forward_subsumption_resolution,[],[f338,f198]) ).
fof(f370,definition,
( spl3_23
<=> high = hazard_of_mortality(sK0,sK2) ),
introduced(definition,[new_symbols(definition,[spl3_23])],[avatar_definition]) ).
fof(f372,plain,
( high = hazard_of_mortality(sK0,sK2)
| ~ spl3_23 ),
inference(avatar_component_clause,[],[f370]) ).
fof(f373,plain,
( spl3_18
| spl3_23
| spl3_8
| spl3_20 ),
inference(avatar_split_clause,[],[f368,f197,f121,f370,f188]) ).
fof(f378,plain,
( ~ greater(hazard_of_mortality(sK0,sK2),mod2)
| ~ spl3_3 ),
inference(resolution,[],[f350,f26]) ).
fof(f379,plain,
( ~ greater(high,mod2)
| ~ spl3_3
| ~ spl3_23 ),
inference(forward_demodulation,[],[f378,f372]) ).
fof(f383,plain,
( $false
| ~ spl3_3
| ~ spl3_23 ),
inference(forward_subsumption_resolution,[],[f379,f37]) ).
fof(f384,plain,
( ~ spl3_3
| ~ spl3_23 ),
inference(avatar_contradiction_clause,[],[f383]) ).
fof(f507,plain,
( ~ greater(mod2,hazard_of_mortality(sK0,sK1))
| ~ spl3_18 ),
inference(superposition,[],[f42,f190]) ).
fof(f533,plain,
( ~ greater(mod2,very_low)
| ~ spl3_18 ),
inference(forward_demodulation,[],[f507,f80]) ).
fof(f539,plain,
( $false
| ~ spl3_18 ),
inference(forward_subsumption_resolution,[],[f533,f222]) ).
fof(f540,plain,
~ spl3_18,
inference(avatar_contradiction_clause,[],[f539]) ).
cnf(s2,plain,
( spl3_3
| spl3_4 ),
inference(sat_conversion,[],[f74]) ).
cnf(s15,plain,
~ spl3_8,
inference(sat_conversion,[],[f248]) ).
cnf(s16,plain,
( ~ spl3_2
| ~ spl3_4
| spl3_8 ),
inference(sat_conversion,[],[f252]) ).
cnf(s19,plain,
( spl3_2
| ~ spl3_4
| spl3_5
| spl3_21
| spl3_22 ),
inference(sat_conversion,[],[f300]) ).
cnf(s21,plain,
~ spl3_21,
inference(sat_conversion,[],[f308]) ).
cnf(s24,plain,
~ spl3_22,
inference(sat_conversion,[],[f321]) ).
cnf(s27,plain,
~ spl3_5,
inference(sat_conversion,[],[f334]) ).
cnf(s28,plain,
( ~ spl3_3
| ~ spl3_20 ),
inference(sat_conversion,[],[f367]) ).
cnf(s29,plain,
( spl3_8
| spl3_18
| spl3_20
| spl3_23 ),
inference(sat_conversion,[],[f373]) ).
cnf(s30,plain,
( ~ spl3_3
| ~ spl3_23 ),
inference(sat_conversion,[],[f384]) ).
cnf(s41,plain,
~ spl3_18,
inference(sat_conversion,[],[f540]) ).
cnf(s42,plain,
( spl3_8
| spl3_20
| spl3_23 ),
inference(rat,[],[s29,s41]) ).
cnf(s43,plain,
( spl3_2
| ~ spl3_4 ),
inference(rat,[],[s19,s24,s21,s27]) ).
cnf(s48,plain,
~ spl3_3,
inference(rat,[],[s42,s28,s30,s15]) ).
cnf(s49,plain,
spl3_4,
inference(rat,[],[s2,s48]) ).
cnf(s50,plain,
spl3_2,
inference(rat,[],[s43,s49]) ).
cnf(s52,plain,
$false,
inference(rat,[],[s16,s15,s49,s50]) ).
fof(f541,plain,
$false,
inference(avatar_sat_refutation,[],[s52]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : MGT060+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.36 % Computer : n019.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Sun Sep 27 17:31:19 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.40 Running first-order model finding
% 0.11/0.40 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
% 0.11/0.45 % (3294970)Will run a generic schedule for satisfiability detection.
% 0.11/0.45 % (3294979)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1937980713:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.11/0.45 % (3294976)% WARNING: option uhcvi not known.
% 0.11/0.45 % (3294975)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3748250250_2999 on theBenchmark for (2999ds/0Mi)
% 0.11/0.45 % (3294977)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2519950572:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.11/0.45 % (3294981)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2457028841:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.11/0.45 % (3294978)dis+10_1_sil=32000:sp=arity:random_seed=1191056015:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.11/0.45 % (3294980)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1101019133:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.11/0.45 % TRYING [1]
% 0.11/0.45 % (3294976)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3702757185:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.11/0.45 % TRYING [2]
% 0.11/0.45 % TRYING [3]
% 0.11/0.45 % TRYING [4]
% 0.11/0.45 % TRYING [5]
% 0.11/0.45 % TRYING [6]
% 0.11/0.45 % TRYING [7]
% 0.11/0.45 % TRYING [8]
% 0.11/0.45 % (3294980) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3294970-3294980"...
% 0.11/0.45 % TRYING [9]
% 0.11/0.45 % (3294980)...printing done.
% 0.11/0.45 % TRYING [10]
% 0.11/0.45 % (3294980)Refutation found. Thanks to Tanya!
% 0.11/0.45 % SZS status Theorem for theBenchmark
% 0.11/0.45 % SZS output start Proof for theBenchmark
% See solution above
% 0.11/0.46 % (3294980)------------------------------
% 0.11/0.46 % (3294980)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.11/0.46 % (3294980)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.11/0.46 % (3294980)CaDiCaL version: 2.1.3
% 0.11/0.46 % (3294980)Termination reason: Refutation
% 0.11/0.46 % (3294980)Time elapsed: 0.012 s
% 0.11/0.46 % (3294980)Peak memory usage: 12 MB
% 0.11/0.46 % (3294980)Instructions burned: 16 (million)
% 0.11/0.46 % (3294970)Success in time 0.047 s
% 0.11/0.46 % Vampire exiting
%------------------------------------------------------------------------------