%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : MGT065-1 : 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 : n017.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 12:02:47 PM UTC 2026
% Result : Unsatisfiable 0.16s 10.51s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 38
% Syntax : Number of formulae : 190 ( 45 unt; 14 def)
% Number of atoms : 541 ( 73 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 608 ( 257 ~; 337 |; 0 &)
% ( 14 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 24 ( 22 usr; 15 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 11 con; 0-2 aty)
% Number of variables : 74 ( 0 sgn 74 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X0,X1] :
( ~ smaller(X0,X1)
| smaller_or_equal(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MGT001-0.ax',definition_smaller_or_equal_2) ).
fof(f7,axiom,
! [X0,X1] :
( ~ smaller(X0,X1)
| greater(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MGT001-0.ax',definition_smaller_7) ).
fof(f8,axiom,
! [X0,X1] :
( ~ greater(X0,X1)
| smaller(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MGT001-0.ax',definition_smaller_8) ).
fof(f9,axiom,
! [X0,X1] :
( ~ greater(X0,X1)
| ~ greater(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MGT001-0.ax',meaning_postulate_greater_strict_9) ).
fof(f10,axiom,
! [X2,X0,X1] :
( ~ greater(X0,X1)
| ~ greater(X1,X2)
| greater(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MGT001-0.ax',meaning_postulate_greater_transitive_10) ).
fof(f11,axiom,
! [X0,X1] :
( smaller(X0,X1)
| X0 = X1
| greater(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MGT001-0.ax',meaning_postulate_greater_comparable_11) ).
fof(f13,axiom,
! [X0,X1] :
( ~ has_endowment(X0)
| ~ smaller_or_equal(age(X0,X1),eta)
| has_immunity(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_1_41) ).
fof(f14,axiom,
! [X0,X1] :
( ~ has_endowment(X0)
| ~ greater(age(X0,X1),eta)
| ~ has_immunity(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_1_42) ).
fof(f29,axiom,
! [X0,X1] :
( ~ organization(X0)
| ~ has_immunity(X0,X1)
| hazard_of_mortality(X0,X1) = very_low ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_17_57) ).
fof(f30,axiom,
! [X0,X1] :
( ~ organization(X0)
| has_immunity(X0,X1)
| ~ is_aligned(X0,X1)
| ~ positional_advantage(X0,X1)
| hazard_of_mortality(X0,X1) = low ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_17_58) ).
fof(f31,axiom,
! [X0,X1] :
( ~ organization(X0)
| has_immunity(X0,X1)
| is_aligned(X0,X1)
| ~ positional_advantage(X0,X1)
| hazard_of_mortality(X0,X1) = mod1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_17_59) ).
fof(f32,axiom,
! [X0,X1] :
( ~ organization(X0)
| has_immunity(X0,X1)
| ~ is_aligned(X0,X1)
| positional_advantage(X0,X1)
| hazard_of_mortality(X0,X1) = mod2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_17_60) ).
fof(f33,axiom,
! [X0,X1] :
( ~ organization(X0)
| has_immunity(X0,X1)
| is_aligned(X0,X1)
| positional_advantage(X0,X1)
| hazard_of_mortality(X0,X1) = high ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_17_61) ).
fof(f34,axiom,
greater(high,mod1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_18a_62) ).
fof(f35,axiom,
greater(mod1,low),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_18b_63) ).
fof(f36,axiom,
greater(low,very_low),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_18c_64) ).
fof(f38,axiom,
greater(mod2,low),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_18e_66) ).
fof(f39,negated_conjecture,
organization(sk2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_11_67) ).
fof(f41,negated_conjecture,
has_endowment(sk2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_11_69) ).
fof(f42,negated_conjecture,
age(sk2,sk3) = zero,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_11_70) ).
fof(f43,plain,
zero = age(sk2,sk3),
inference(reorient_equations,[],[f42]) ).
fof(f46,negated_conjecture,
greater(eta,zero),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_11_73) ).
fof(f49,negated_conjecture,
smaller_or_equal(age(sk2,sk4),eta),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_11_76) ).
fof(f52,negated_conjecture,
greater(age(sk2,sk5),eta),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_11_79) ).
fof(f53,negated_conjecture,
( ~ greater(hazard_of_mortality(sk2,sk5),hazard_of_mortality(sk2,sk4))
| hazard_of_mortality(sk2,sk4) != hazard_of_mortality(sk2,sk3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_11_80) ).
fof(f57,plain,
! [X0,X1] :
( ~ smaller(X0,X1)
| ~ smaller_or_equal(X0,X1) ),
inference(consistent_polarity_flipping,[],[f2]) ).
fof(f62,plain,
! [X0,X1] :
( ~ greater(X1,X0)
| ~ smaller(X0,X1) ),
inference(consistent_polarity_flipping,[],[f7]) ).
fof(f63,plain,
! [X0,X1] :
( smaller(X1,X0)
| greater(X0,X1) ),
inference(consistent_polarity_flipping,[],[f8]) ).
fof(f64,plain,
! [X0,X1] :
( greater(X0,X1)
| greater(X1,X0) ),
inference(consistent_polarity_flipping,[],[f9]) ).
fof(f65,plain,
! [X2,X0,X1] :
( ~ greater(X0,X2)
| greater(X1,X2)
| greater(X0,X1) ),
inference(consistent_polarity_flipping,[],[f10]) ).
fof(f66,plain,
! [X0,X1] :
( smaller(X0,X1)
| X0 = X1
| ~ greater(X0,X1) ),
inference(consistent_polarity_flipping,[],[f11]) ).
fof(f68,plain,
! [X0,X1] :
( ~ has_immunity(X0,X1)
| smaller_or_equal(age(X0,X1),eta)
| has_endowment(X0) ),
inference(consistent_polarity_flipping,[],[f13]) ).
fof(f69,plain,
! [X0,X1] :
( greater(age(X0,X1),eta)
| has_endowment(X0)
| has_immunity(X0,X1) ),
inference(consistent_polarity_flipping,[],[f14]) ).
fof(f76,plain,
! [X0,X1] :
( ~ organization(X0)
| has_immunity(X0,X1)
| hazard_of_mortality(X0,X1) = very_low ),
inference(consistent_polarity_flipping,[],[f29]) ).
fof(f77,plain,
! [X0,X1] :
( ~ positional_advantage(X0,X1)
| ~ has_immunity(X0,X1)
| ~ is_aligned(X0,X1)
| ~ organization(X0)
| hazard_of_mortality(X0,X1) = low ),
inference(consistent_polarity_flipping,[],[f30]) ).
fof(f78,plain,
! [X0,X1] :
( ~ positional_advantage(X0,X1)
| ~ has_immunity(X0,X1)
| is_aligned(X0,X1)
| ~ organization(X0)
| hazard_of_mortality(X0,X1) = mod1 ),
inference(consistent_polarity_flipping,[],[f31]) ).
fof(f79,plain,
! [X0,X1] :
( ~ organization(X0)
| ~ has_immunity(X0,X1)
| ~ is_aligned(X0,X1)
| positional_advantage(X0,X1)
| hazard_of_mortality(X0,X1) = mod2 ),
inference(consistent_polarity_flipping,[],[f32]) ).
fof(f80,plain,
! [X0,X1] :
( ~ organization(X0)
| ~ has_immunity(X0,X1)
| is_aligned(X0,X1)
| positional_advantage(X0,X1)
| hazard_of_mortality(X0,X1) = high ),
inference(consistent_polarity_flipping,[],[f33]) ).
fof(f81,plain,
~ greater(high,mod1),
inference(consistent_polarity_flipping,[],[f34]) ).
fof(f82,plain,
~ greater(mod1,low),
inference(consistent_polarity_flipping,[],[f35]) ).
fof(f83,plain,
~ greater(low,very_low),
inference(consistent_polarity_flipping,[],[f36]) ).
fof(f85,plain,
~ greater(mod2,low),
inference(consistent_polarity_flipping,[],[f38]) ).
fof(f86,plain,
~ has_endowment(sk2),
inference(consistent_polarity_flipping,[],[f41]) ).
fof(f89,plain,
~ greater(eta,zero),
inference(consistent_polarity_flipping,[],[f46]) ).
fof(f92,plain,
~ smaller_or_equal(age(sk2,sk4),eta),
inference(consistent_polarity_flipping,[],[f49]) ).
fof(f95,plain,
~ greater(age(sk2,sk5),eta),
inference(consistent_polarity_flipping,[],[f52]) ).
fof(f96,plain,
( greater(hazard_of_mortality(sk2,sk5),hazard_of_mortality(sk2,sk4))
| hazard_of_mortality(sk2,sk4) != hazard_of_mortality(sk2,sk3) ),
inference(consistent_polarity_flipping,[],[f53]) ).
fof(f98,definition,
( spl0_1
<=> hazard_of_mortality(sk2,sk4) = hazard_of_mortality(sk2,sk3) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f99,plain,
( hazard_of_mortality(sk2,sk4) = hazard_of_mortality(sk2,sk3)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f98]) ).
fof(f100,plain,
( hazard_of_mortality(sk2,sk4) != hazard_of_mortality(sk2,sk3)
| spl0_1 ),
inference(avatar_component_clause,[],[f98]) ).
fof(f102,definition,
( spl0_2
<=> greater(hazard_of_mortality(sk2,sk5),hazard_of_mortality(sk2,sk4)) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f104,plain,
( greater(hazard_of_mortality(sk2,sk5),hazard_of_mortality(sk2,sk4))
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f102]) ).
fof(f105,plain,
( ~ spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f96,f102,f98]) ).
fof(f107,plain,
! [X0,X1] :
( ~ smaller_or_equal(X1,X0)
| greater(X0,X1) ),
inference(resolution,[],[f63,f57]) ).
fof(f113,plain,
greater(low,mod1),
inference(resolution,[],[f64,f82]) ).
fof(f114,plain,
greater(low,mod2),
inference(resolution,[],[f64,f85]) ).
fof(f128,plain,
! [X0] : greater(X0,X0),
inference(factoring,[],[f64]) ).
fof(f162,plain,
( has_endowment(sk2)
| has_immunity(sk2,sk5) ),
inference(resolution,[],[f69,f95]) ).
fof(f168,plain,
has_immunity(sk2,sk5),
inference(forward_subsumption_resolution,[],[f162,f86]) ).
fof(f170,definition,
( spl0_7
<=> has_immunity(sk2,sk3) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f171,plain,
( ~ has_immunity(sk2,sk3)
| spl0_7 ),
inference(avatar_component_clause,[],[f170]) ).
fof(f172,plain,
( has_immunity(sk2,sk3)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f170]) ).
fof(f178,plain,
! [X0] :
( has_immunity(sk2,X0)
| very_low = hazard_of_mortality(sk2,X0) ),
inference(resolution,[],[f76,f39]) ).
fof(f182,plain,
( smaller_or_equal(age(sk2,sk3),eta)
| has_endowment(sk2)
| ~ spl0_7 ),
inference(resolution,[],[f172,f68]) ).
fof(f183,plain,
( smaller_or_equal(age(sk2,sk3),eta)
| ~ spl0_7 ),
inference(forward_subsumption_resolution,[],[f182,f86]) ).
fof(f184,plain,
( smaller_or_equal(zero,eta)
| ~ spl0_7 ),
inference(forward_demodulation,[],[f183,f43]) ).
fof(f220,plain,
! [X0] :
( ~ is_aligned(sk2,X0)
| ~ has_immunity(sk2,X0)
| positional_advantage(sk2,X0)
| mod2 = hazard_of_mortality(sk2,X0) ),
inference(resolution,[],[f79,f39]) ).
fof(f224,plain,
! [X0] :
( positional_advantage(sk2,X0)
| is_aligned(sk2,X0)
| ~ has_immunity(sk2,X0)
| high = hazard_of_mortality(sk2,X0) ),
inference(resolution,[],[f80,f39]) ).
fof(f282,plain,
! [X0] :
( very_low = hazard_of_mortality(sk2,X0)
| smaller_or_equal(age(sk2,X0),eta)
| has_endowment(sk2) ),
inference(resolution,[],[f178,f68]) ).
fof(f283,plain,
! [X0] :
( smaller_or_equal(age(sk2,X0),eta)
| very_low = hazard_of_mortality(sk2,X0) ),
inference(forward_subsumption_resolution,[],[f282,f86]) ).
fof(f295,definition,
( spl0_17
<=> mod2 = hazard_of_mortality(sk2,sk3) ),
introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).
fof(f296,plain,
( mod2 != hazard_of_mortality(sk2,sk3)
| spl0_17 ),
inference(avatar_component_clause,[],[f295]) ).
fof(f297,plain,
( mod2 = hazard_of_mortality(sk2,sk3)
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f295]) ).
fof(f303,plain,
! [X0] :
( is_aligned(sk2,X0)
| ~ has_immunity(sk2,X0)
| high = hazard_of_mortality(sk2,X0)
| ~ has_immunity(sk2,X0)
| is_aligned(sk2,X0)
| ~ organization(sk2)
| mod1 = hazard_of_mortality(sk2,X0) ),
inference(resolution,[],[f224,f78]) ).
fof(f306,plain,
! [X0] :
( is_aligned(sk2,X0)
| ~ has_immunity(sk2,X0)
| high = hazard_of_mortality(sk2,X0)
| ~ organization(sk2)
| mod1 = hazard_of_mortality(sk2,X0) ),
inference(duplicate_literal_removal,[],[f303]) ).
fof(f307,plain,
! [X0] :
( ~ has_immunity(sk2,X0)
| is_aligned(sk2,X0)
| high = hazard_of_mortality(sk2,X0)
| mod1 = hazard_of_mortality(sk2,X0) ),
inference(forward_subsumption_resolution,[],[f306,f39]) ).
fof(f308,plain,
! [X0] :
( greater(X0,mod1)
| greater(low,X0) ),
inference(resolution,[],[f113,f65]) ).
fof(f312,definition,
( spl0_19
<=> low = mod1 ),
introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).
fof(f313,plain,
( low != mod1
| spl0_19 ),
inference(avatar_component_clause,[],[f312]) ).
fof(f314,plain,
( low = mod1
| ~ spl0_19 ),
inference(avatar_component_clause,[],[f312]) ).
fof(f320,plain,
! [X0] :
( greater(X0,mod2)
| greater(low,X0) ),
inference(resolution,[],[f114,f65]) ).
fof(f367,definition,
( spl0_25
<=> is_aligned(sk2,sk5) ),
introduced(definition,[new_symbols(definition,[spl0_25])],[avatar_definition]) ).
fof(f369,plain,
( is_aligned(sk2,sk5)
| ~ spl0_25 ),
inference(avatar_component_clause,[],[f367]) ).
fof(f421,plain,
( greater(eta,zero)
| ~ spl0_7 ),
inference(resolution,[],[f107,f184]) ).
fof(f424,plain,
( $false
| ~ spl0_7 ),
inference(forward_subsumption_resolution,[],[f421,f89]) ).
fof(f425,plain,
~ spl0_7,
inference(avatar_contradiction_clause,[],[f424]) ).
fof(f427,plain,
( very_low = hazard_of_mortality(sk2,sk3)
| spl0_7 ),
inference(resolution,[],[f171,f178]) ).
fof(f564,plain,
( very_low = mod2
| spl0_7
| ~ spl0_17 ),
inference(forward_demodulation,[],[f427,f297]) ).
fof(f565,plain,
( ~ greater(low,mod2)
| spl0_7
| ~ spl0_17 ),
inference(superposition,[],[f83,f564]) ).
fof(f566,plain,
( $false
| spl0_7
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f565,f114]) ).
fof(f567,plain,
( spl0_7
| ~ spl0_17 ),
inference(avatar_contradiction_clause,[],[f566]) ).
fof(f568,plain,
( very_low != mod2
| spl0_7
| spl0_17 ),
inference(superposition,[],[f296,f427]) ).
fof(f569,plain,
( very_low != hazard_of_mortality(sk2,sk4)
| spl0_1
| spl0_7 ),
inference(superposition,[],[f100,f427]) ).
fof(f705,plain,
very_low = hazard_of_mortality(sk2,sk4),
inference(resolution,[],[f283,f92]) ).
fof(f712,plain,
( $false
| spl0_1
| spl0_7 ),
inference(forward_subsumption_resolution,[],[f705,f569]) ).
fof(f713,plain,
( spl0_1
| spl0_7 ),
inference(avatar_contradiction_clause,[],[f712]) ).
fof(f714,plain,
( very_low = hazard_of_mortality(sk2,sk4)
| ~ spl0_1
| spl0_7 ),
inference(forward_demodulation,[],[f99,f427]) ).
fof(f715,plain,
( greater(hazard_of_mortality(sk2,sk5),very_low)
| ~ spl0_1
| ~ spl0_2
| spl0_7 ),
inference(forward_demodulation,[],[f104,f714]) ).
fof(f716,plain,
( ! [X0] :
( greater(hazard_of_mortality(sk2,sk5),X0)
| greater(X0,very_low) )
| ~ spl0_1
| ~ spl0_2
| spl0_7 ),
inference(resolution,[],[f715,f65]) ).
fof(f718,plain,
( ~ smaller(very_low,hazard_of_mortality(sk2,sk5))
| ~ spl0_1
| ~ spl0_2
| spl0_7 ),
inference(resolution,[],[f715,f62]) ).
fof(f720,definition,
( spl0_38
<=> very_low = hazard_of_mortality(sk2,sk5) ),
introduced(definition,[new_symbols(definition,[spl0_38])],[avatar_definition]) ).
fof(f722,plain,
( very_low = hazard_of_mortality(sk2,sk5)
| ~ spl0_38 ),
inference(avatar_component_clause,[],[f720]) ).
fof(f728,plain,
( very_low = hazard_of_mortality(sk2,sk5)
| ~ greater(very_low,hazard_of_mortality(sk2,sk5))
| ~ spl0_1
| ~ spl0_2
| spl0_7 ),
inference(resolution,[],[f718,f66]) ).
fof(f737,definition,
( spl0_41
<=> greater(very_low,hazard_of_mortality(sk2,sk5)) ),
introduced(definition,[new_symbols(definition,[spl0_41])],[avatar_definition]) ).
fof(f739,plain,
( ~ greater(very_low,hazard_of_mortality(sk2,sk5))
| spl0_41 ),
inference(avatar_component_clause,[],[f737]) ).
fof(f740,plain,
( ~ spl0_41
| spl0_38
| ~ spl0_1
| ~ spl0_2
| spl0_7 ),
inference(avatar_split_clause,[],[f728,f170,f102,f98,f720,f737]) ).
fof(f757,plain,
( is_aligned(sk2,sk5)
| high = hazard_of_mortality(sk2,sk5)
| mod1 = hazard_of_mortality(sk2,sk5) ),
inference(resolution,[],[f307,f168]) ).
fof(f781,plain,
( ~ greater(low,low)
| ~ spl0_19 ),
inference(superposition,[],[f82,f314]) ).
fof(f783,plain,
( $false
| ~ spl0_19 ),
inference(forward_subsumption_resolution,[],[f781,f128]) ).
fof(f784,plain,
~ spl0_19,
inference(avatar_contradiction_clause,[],[f783]) ).
fof(f785,plain,
( ~ has_immunity(sk2,sk5)
| positional_advantage(sk2,sk5)
| mod2 = hazard_of_mortality(sk2,sk5)
| ~ spl0_25 ),
inference(resolution,[],[f369,f220]) ).
fof(f789,plain,
( positional_advantage(sk2,sk5)
| mod2 = hazard_of_mortality(sk2,sk5)
| ~ spl0_25 ),
inference(forward_subsumption_resolution,[],[f785,f168]) ).
fof(f790,plain,
( very_low = mod2
| positional_advantage(sk2,sk5)
| ~ spl0_25
| ~ spl0_38 ),
inference(forward_demodulation,[],[f789,f722]) ).
fof(f791,plain,
( positional_advantage(sk2,sk5)
| spl0_7
| spl0_17
| ~ spl0_25
| ~ spl0_38 ),
inference(forward_subsumption_resolution,[],[f790,f568]) ).
fof(f794,plain,
( ~ has_immunity(sk2,sk5)
| ~ is_aligned(sk2,sk5)
| ~ organization(sk2)
| low = hazard_of_mortality(sk2,sk5)
| spl0_7
| spl0_17
| ~ spl0_25
| ~ spl0_38 ),
inference(resolution,[],[f791,f77]) ).
fof(f795,plain,
( ~ is_aligned(sk2,sk5)
| ~ organization(sk2)
| low = hazard_of_mortality(sk2,sk5)
| spl0_7
| spl0_17
| ~ spl0_25
| ~ spl0_38 ),
inference(forward_subsumption_resolution,[],[f794,f168]) ).
fof(f796,plain,
( ~ organization(sk2)
| low = hazard_of_mortality(sk2,sk5)
| spl0_7
| spl0_17
| ~ spl0_25
| ~ spl0_38 ),
inference(forward_subsumption_resolution,[],[f795,f369]) ).
fof(f797,plain,
( low = hazard_of_mortality(sk2,sk5)
| spl0_7
| spl0_17
| ~ spl0_25
| ~ spl0_38 ),
inference(forward_subsumption_resolution,[],[f796,f39]) ).
fof(f801,plain,
( greater(low,very_low)
| ~ spl0_1
| ~ spl0_2
| spl0_7
| spl0_17
| ~ spl0_25
| ~ spl0_38 ),
inference(superposition,[],[f715,f797]) ).
fof(f802,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| spl0_7
| spl0_17
| ~ spl0_25
| ~ spl0_38 ),
inference(forward_subsumption_resolution,[],[f801,f83]) ).
fof(f803,plain,
( ~ spl0_1
| ~ spl0_2
| spl0_7
| spl0_17
| ~ spl0_25
| ~ spl0_38 ),
inference(avatar_contradiction_clause,[],[f802]) ).
fof(f805,definition,
( spl0_45
<=> mod2 = hazard_of_mortality(sk2,sk5) ),
introduced(definition,[new_symbols(definition,[spl0_45])],[avatar_definition]) ).
fof(f807,plain,
( mod2 = hazard_of_mortality(sk2,sk5)
| ~ spl0_45 ),
inference(avatar_component_clause,[],[f805]) ).
fof(f809,definition,
( spl0_46
<=> positional_advantage(sk2,sk5) ),
introduced(definition,[new_symbols(definition,[spl0_46])],[avatar_definition]) ).
fof(f811,plain,
( positional_advantage(sk2,sk5)
| ~ spl0_46 ),
inference(avatar_component_clause,[],[f809]) ).
fof(f812,plain,
( spl0_45
| spl0_46
| ~ spl0_25 ),
inference(avatar_split_clause,[],[f789,f367,f809,f805]) ).
fof(f814,plain,
( ~ has_immunity(sk2,sk5)
| ~ is_aligned(sk2,sk5)
| ~ organization(sk2)
| low = hazard_of_mortality(sk2,sk5)
| ~ spl0_46 ),
inference(resolution,[],[f811,f77]) ).
fof(f815,plain,
( ~ is_aligned(sk2,sk5)
| ~ organization(sk2)
| low = hazard_of_mortality(sk2,sk5)
| ~ spl0_46 ),
inference(forward_subsumption_resolution,[],[f814,f168]) ).
fof(f816,plain,
( ~ organization(sk2)
| low = hazard_of_mortality(sk2,sk5)
| ~ spl0_25
| ~ spl0_46 ),
inference(forward_subsumption_resolution,[],[f815,f369]) ).
fof(f817,plain,
( low = hazard_of_mortality(sk2,sk5)
| ~ spl0_25
| ~ spl0_46 ),
inference(forward_subsumption_resolution,[],[f816,f39]) ).
fof(f821,plain,
( ! [X0] :
( ~ smaller(X0,hazard_of_mortality(sk2,sk5))
| greater(X0,very_low) )
| ~ spl0_1
| ~ spl0_2
| spl0_7 ),
inference(resolution,[],[f716,f62]) ).
fof(f826,plain,
( ! [X0] :
( greater(X0,very_low)
| hazard_of_mortality(sk2,sk5) = X0
| ~ greater(X0,hazard_of_mortality(sk2,sk5)) )
| ~ spl0_1
| ~ spl0_2
| spl0_7 ),
inference(resolution,[],[f821,f66]) ).
fof(f842,plain,
( greater(low,very_low)
| ~ spl0_1
| ~ spl0_2
| spl0_7
| ~ spl0_25
| ~ spl0_46 ),
inference(superposition,[],[f715,f817]) ).
fof(f852,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| spl0_7
| ~ spl0_25
| ~ spl0_46 ),
inference(forward_subsumption_resolution,[],[f842,f83]) ).
fof(f853,plain,
( ~ spl0_1
| ~ spl0_2
| spl0_7
| ~ spl0_25
| ~ spl0_46 ),
inference(avatar_contradiction_clause,[],[f852]) ).
fof(f869,plain,
( ~ greater(very_low,mod2)
| spl0_41
| ~ spl0_45 ),
inference(superposition,[],[f739,f807]) ).
fof(f940,plain,
greater(low,high),
inference(resolution,[],[f308,f81]) ).
fof(f948,plain,
( greater(low,very_low)
| spl0_41
| ~ spl0_45 ),
inference(resolution,[],[f320,f869]) ).
fof(f955,plain,
( $false
| spl0_41
| ~ spl0_45 ),
inference(forward_subsumption_resolution,[],[f948,f83]) ).
fof(f956,plain,
( spl0_41
| ~ spl0_45 ),
inference(avatar_contradiction_clause,[],[f955]) ).
fof(f958,definition,
( spl0_50
<=> mod1 = hazard_of_mortality(sk2,sk5) ),
introduced(definition,[new_symbols(definition,[spl0_50])],[avatar_definition]) ).
fof(f960,plain,
( mod1 = hazard_of_mortality(sk2,sk5)
| ~ spl0_50 ),
inference(avatar_component_clause,[],[f958]) ).
fof(f962,definition,
( spl0_51
<=> high = hazard_of_mortality(sk2,sk5) ),
introduced(definition,[new_symbols(definition,[spl0_51])],[avatar_definition]) ).
fof(f964,plain,
( high = hazard_of_mortality(sk2,sk5)
| ~ spl0_51 ),
inference(avatar_component_clause,[],[f962]) ).
fof(f965,plain,
( spl0_50
| spl0_51
| spl0_25 ),
inference(avatar_split_clause,[],[f757,f367,f962,f958]) ).
fof(f1965,plain,
( ! [X0] :
( high = X0
| greater(X0,very_low)
| ~ greater(X0,hazard_of_mortality(sk2,sk5)) )
| ~ spl0_1
| ~ spl0_2
| spl0_7
| ~ spl0_51 ),
inference(forward_demodulation,[],[f826,f964]) ).
fof(f1966,plain,
( ! [X0] :
( greater(X0,very_low)
| high = X0
| ~ greater(X0,high) )
| ~ spl0_1
| ~ spl0_2
| spl0_7
| ~ spl0_51 ),
inference(forward_demodulation,[],[f1965,f964]) ).
fof(f1967,plain,
( low = high
| ~ greater(low,high)
| ~ spl0_1
| ~ spl0_2
| spl0_7
| ~ spl0_51 ),
inference(resolution,[],[f1966,f83]) ).
fof(f1972,definition,
( spl0_134
<=> greater(low,high) ),
introduced(definition,[new_symbols(definition,[spl0_134])],[avatar_definition]) ).
fof(f1976,definition,
( spl0_135
<=> low = high ),
introduced(definition,[new_symbols(definition,[spl0_135])],[avatar_definition]) ).
fof(f1978,plain,
( low = high
| ~ spl0_135 ),
inference(avatar_component_clause,[],[f1976]) ).
fof(f1979,plain,
( ~ spl0_134
| spl0_135
| ~ spl0_1
| ~ spl0_2
| spl0_7
| ~ spl0_51 ),
inference(avatar_split_clause,[],[f1967,f962,f170,f102,f98,f1976,f1972]) ).
fof(f2357,plain,
( ~ greater(low,mod1)
| ~ spl0_135 ),
inference(superposition,[],[f81,f1978]) ).
fof(f2401,plain,
( $false
| ~ spl0_135 ),
inference(forward_subsumption_resolution,[],[f2357,f113]) ).
fof(f2402,plain,
~ spl0_135,
inference(avatar_contradiction_clause,[],[f2401]) ).
fof(f2425,plain,
spl0_134,
inference(avatar_split_clause,[],[f940,f1972]) ).
fof(f2470,plain,
( ! [X0] :
( mod1 = X0
| greater(X0,very_low)
| ~ greater(X0,hazard_of_mortality(sk2,sk5)) )
| ~ spl0_1
| ~ spl0_2
| spl0_7
| ~ spl0_50 ),
inference(forward_demodulation,[],[f826,f960]) ).
fof(f2471,plain,
( ! [X0] :
( greater(X0,very_low)
| mod1 = X0
| ~ greater(X0,mod1) )
| ~ spl0_1
| ~ spl0_2
| spl0_7
| ~ spl0_50 ),
inference(forward_demodulation,[],[f2470,f960]) ).
fof(f2472,plain,
( low = mod1
| ~ greater(low,mod1)
| ~ spl0_1
| ~ spl0_2
| spl0_7
| ~ spl0_50 ),
inference(resolution,[],[f2471,f83]) ).
fof(f2476,plain,
( ~ greater(low,mod1)
| ~ spl0_1
| ~ spl0_2
| spl0_7
| spl0_19
| ~ spl0_50 ),
inference(forward_subsumption_resolution,[],[f2472,f313]) ).
fof(f2477,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| spl0_7
| spl0_19
| ~ spl0_50 ),
inference(forward_subsumption_resolution,[],[f2476,f113]) ).
fof(f2478,plain,
( ~ spl0_1
| ~ spl0_2
| spl0_7
| spl0_19
| ~ spl0_50 ),
inference(avatar_contradiction_clause,[],[f2477]) ).
cnf(s1,plain,
( ~ spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f105]) ).
cnf(s22,plain,
~ spl0_7,
inference(sat_conversion,[],[f425]) ).
cnf(s30,plain,
( spl0_7
| ~ spl0_17 ),
inference(sat_conversion,[],[f567]) ).
cnf(s43,plain,
( spl0_1
| spl0_7 ),
inference(sat_conversion,[],[f713]) ).
cnf(s46,plain,
( ~ spl0_1
| ~ spl0_2
| spl0_7
| spl0_38
| ~ spl0_41 ),
inference(sat_conversion,[],[f740]) ).
cnf(s49,plain,
~ spl0_19,
inference(sat_conversion,[],[f784]) ).
cnf(s50,plain,
( ~ spl0_1
| ~ spl0_2
| spl0_7
| spl0_17
| ~ spl0_25
| ~ spl0_38 ),
inference(sat_conversion,[],[f803]) ).
cnf(s51,plain,
( ~ spl0_25
| spl0_45
| spl0_46 ),
inference(sat_conversion,[],[f812]) ).
cnf(s53,plain,
( ~ spl0_1
| ~ spl0_2
| spl0_7
| ~ spl0_25
| ~ spl0_46 ),
inference(sat_conversion,[],[f853]) ).
cnf(s61,plain,
( spl0_41
| ~ spl0_45 ),
inference(sat_conversion,[],[f956]) ).
cnf(s62,plain,
( spl0_25
| spl0_50
| spl0_51 ),
inference(sat_conversion,[],[f965]) ).
cnf(s145,plain,
( ~ spl0_1
| ~ spl0_2
| spl0_7
| ~ spl0_51
| ~ spl0_134
| spl0_135 ),
inference(sat_conversion,[],[f1979]) ).
cnf(s193,plain,
~ spl0_135,
inference(sat_conversion,[],[f2402]) ).
cnf(s198,plain,
spl0_134,
inference(sat_conversion,[],[f2425]) ).
cnf(s207,plain,
( ~ spl0_1
| ~ spl0_2
| spl0_7
| spl0_19
| ~ spl0_50 ),
inference(sat_conversion,[],[f2478]) ).
cnf(s212,plain,
( ~ spl0_1
| ~ spl0_2
| spl0_7
| ~ spl0_51 ),
inference(rat,[],[s145,s193,s198]) ).
cnf(s224,plain,
spl0_1,
inference(rat,[],[s43,s22]) ).
cnf(s225,plain,
~ spl0_17,
inference(rat,[],[s30,s22]) ).
cnf(s242,plain,
spl0_2,
inference(rat,[],[s1,s224]) ).
cnf(s243,plain,
~ spl0_50,
inference(rat,[],[s207,s224,s49,s22,s242]) ).
cnf(s244,plain,
~ spl0_51,
inference(rat,[],[s212,s224,s22,s242]) ).
cnf(s245,plain,
spl0_25,
inference(rat,[],[s62,s244,s243]) ).
cnf(s246,plain,
~ spl0_46,
inference(rat,[],[s53,s242,s224,s22,s245]) ).
cnf(s247,plain,
~ spl0_38,
inference(rat,[],[s50,s242,s224,s225,s22,s245]) ).
cnf(s248,plain,
spl0_45,
inference(rat,[],[s51,s245,s246]) ).
cnf(s249,plain,
~ spl0_41,
inference(rat,[],[s46,s242,s224,s22,s247]) ).
cnf(s252,plain,
$false,
inference(rat,[],[s61,s248,s249]) ).
fof(f2479,plain,
$false,
inference(avatar_sat_refutation,[],[s252]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT065-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/10.40 % Computer : n017.cluster.edu
% 0.11/10.40 % Model : x86_64 x86_64
% 0.11/10.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/10.40 % Memory : 8046.5625MB
% 0.11/10.40 % OS : Linux 6.8.0-71-generic
% 0.11/10.40 % CPULimit : 300
% 0.11/10.40 % WCLimit : 300
% 0.11/10.40 % DateTime : Sun Sep 27 17:28:08 UTC 2026
% 0.11/10.41 % CPUTime :
% 0.11/10.41 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/10.44 Running first-order model finding
% 0.11/10.44 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
% 0.16/10.51 % (2824888)Will run a generic schedule for satisfiability detection.
% 0.16/10.51 % (2824894)% WARNING: option uhcvi not known.
% 0.16/10.51 % (2824894)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2273020770:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.16/10.51 % (2824893)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1129735813_2999 on theBenchmark for (2999ds/0Mi)
% 0.16/10.51 % (2824895)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=4135830714:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.16/10.51 % (2824896)dis+10_1_sil=32000:sp=arity:random_seed=2031129176:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.16/10.51 % (2824897)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2752308850:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.16/10.51 % (2824898)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=4226196987:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.16/10.51 % (2824899)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2693649058:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.16/10.51 % TRYING [1]
% 0.16/10.51 % TRYING [2]
% 0.16/10.51 % TRYING [3]
% 0.16/10.51 % TRYING [4]
% 0.16/10.51 % TRYING [5]
% 0.16/10.51 % (2824894) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2824888-2824894"...
% 0.16/10.51 % (2824894)...printing done.
% 0.16/10.51 % (2824894)Refutation found. Thanks to Tanya!
% 0.16/10.51 % SZS status Unsatisfiable for theBenchmark
% 0.16/10.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/10.52 % (2824894)------------------------------
% 0.16/10.52 % (2824894)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.16/10.52 % (2824894)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/10.52 % (2824894)CaDiCaL version: 2.1.3
% 0.16/10.52 % (2824894)Termination reason: Refutation
% 0.16/10.52 % (2824894)Time elapsed: 0.032 s
% 0.16/10.52 % (2824894)Peak memory usage: 13 MB
% 0.16/10.52 % (2824894)Instructions burned: 77 (million)
% 0.16/10.52 % (2824888)Success in time 0.064 s
% 0.16/10.52 % Vampire exiting
%------------------------------------------------------------------------------