%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : MGT055-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 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 12:02:15 PM UTC 2026
% Result : Unsatisfiable 2.59s 1.28s
% Output : Refutation 3.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 36
% Syntax : Number of formulae : 127 ( 33 unt; 8 def)
% Number of atoms : 285 ( 21 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 302 ( 144 ~; 150 |; 0 &)
% ( 8 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 18 ( 16 usr; 9 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 8 con; 0-2 aty)
% Number of variables : 67 ( 0 sgn 67 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( ~ smaller_or_equal(X0,X1)
| smaller(X0,X1)
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_smaller_or_equal_1) ).
fof(f2,axiom,
! [X0,X1] :
( ~ smaller(X0,X1)
| smaller_or_equal(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_smaller_or_equal_2) ).
fof(f7,axiom,
! [X0,X1] :
( ~ smaller(X0,X1)
| greater(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_smaller_7) ).
fof(f8,axiom,
! [X0,X1] :
( ~ greater(X0,X1)
| smaller(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_smaller_8) ).
fof(f9,axiom,
! [X0,X1] :
( ~ greater(X1,X0)
| ~ greater(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',meaning_postulate_greater_strict_9) ).
fof(f10,axiom,
! [X2,X0,X1] :
( ~ greater(X1,X2)
| ~ greater(X0,X1)
| greater(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',meaning_postulate_greater_transitive_10) ).
fof(f13,axiom,
! [X0,X1] :
( ~ smaller_or_equal(age(X0,X1),eta)
| ~ has_endowment(X0)
| has_immunity(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_1_39) ).
fof(f14,axiom,
! [X0,X1] :
( ~ greater(age(X0,X1),eta)
| ~ has_endowment(X0)
| ~ has_immunity(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_1_40) ).
fof(f19,axiom,
! [X2,X0,X1] :
( ~ has_immunity(X0,X2)
| ~ has_immunity(X0,X1)
| ~ organization(X0)
| hazard_of_mortality(X0,X1) = hazard_of_mortality(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_2_45) ).
fof(f20,axiom,
! [X2,X0,X1] :
( greater(hazard_of_mortality(X0,X2),hazard_of_mortality(X0,X1))
| ~ has_immunity(X0,X1)
| has_immunity(X0,X2)
| ~ organization(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_3_46) ).
fof(f21,axiom,
! [X2,X0,X1] :
( ~ dissimilar(X0,X1,X2)
| organization(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_2_47) ).
fof(f23,axiom,
! [X2,X0,X1] :
( ~ dissimilar(X0,X1,X2)
| ~ is_aligned(X0,X1)
| ~ is_aligned(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_2_49) ).
fof(f25,axiom,
! [X2,X0,X1] :
( dissimilar(X0,X1,X2)
| ~ is_aligned(X0,X1)
| is_aligned(X0,X2)
| ~ organization(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_2_51) ).
fof(f28,axiom,
! [X0,X1] :
( age(X0,X1) != zero
| ~ organization(X0)
| is_aligned(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_13_54) ).
fof(f29,axiom,
! [X2,X0,X1] :
( greater(capability(X0,X1),capability(X0,X2))
| ~ is_aligned(X0,X1)
| is_aligned(X0,X2)
| ~ organization(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_14_55) ).
fof(f30,axiom,
! [X2,X0,X1] :
( age(X0,X1) != zero
| ~ organization(X0)
| ~ greater(age(X0,X2),sigma)
| dissimilar(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_15_56) ).
fof(f31,axiom,
! [X2,X0,X1] :
( ~ organization(X0)
| age(X0,X1) != zero
| ~ dissimilar(X0,X1,X2)
| greater(age(X0,X2),sigma) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_15_57) ).
fof(f32,axiom,
! [X2,X0,X1] :
( ~ organization(X0)
| has_immunity(X0,X1)
| has_immunity(X0,X2)
| ~ greater(capability(X0,X2),capability(X0,X1))
| greater(hazard_of_mortality(X0,X1),hazard_of_mortality(X0,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_16_58) ).
fof(f33,negated_conjecture,
organization(sk2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lemma_8_59) ).
fof(f34,negated_conjecture,
has_endowment(sk2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lemma_8_60) ).
fof(f35,negated_conjecture,
age(sk2,sk3) = zero,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lemma_8_61) ).
fof(f36,plain,
zero = age(sk2,sk3),
inference(reorient_equations,[],[f35]) ).
fof(f37,negated_conjecture,
smaller_or_equal(age(sk2,sk4),eta),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lemma_8_62) ).
fof(f38,negated_conjecture,
greater(age(sk2,sk5),eta),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lemma_8_63) ).
fof(f39,negated_conjecture,
smaller_or_equal(age(sk2,sk5),sigma),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lemma_8_64) ).
fof(f40,negated_conjecture,
greater(age(sk2,sk6),sigma),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lemma_8_65) ).
fof(f41,negated_conjecture,
greater(sigma,eta),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lemma_8_66) ).
fof(f42,negated_conjecture,
greater(eta,zero),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lemma_8_67) ).
fof(f43,negated_conjecture,
( ~ greater(hazard_of_mortality(sk2,sk6),hazard_of_mortality(sk2,sk5))
| ~ greater(hazard_of_mortality(sk2,sk5),hazard_of_mortality(sk2,sk4))
| hazard_of_mortality(sk2,sk4) != hazard_of_mortality(sk2,sk3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lemma_8_68) ).
fof(f45,plain,
! [X2,X0,X1] :
( ~ greater(capability(X0,X2),capability(X0,X1))
| has_immunity(X0,X1)
| ~ organization(X0)
| greater(hazard_of_mortality(X0,X1),hazard_of_mortality(X0,X2)) ),
inference(forward_subsumption_resolution,[],[f32,f20]) ).
fof(f46,plain,
! [X2,X0,X1] :
( age(X0,X1) != zero
| ~ dissimilar(X0,X1,X2)
| greater(age(X0,X2),sigma) ),
inference(forward_subsumption_resolution,[],[f31,f21]) ).
fof(f48,definition,
( spl0_1
<=> hazard_of_mortality(sk2,sk4) = hazard_of_mortality(sk2,sk3) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f49,plain,
( hazard_of_mortality(sk2,sk4) = hazard_of_mortality(sk2,sk3)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f48]) ).
fof(f50,plain,
( hazard_of_mortality(sk2,sk4) != hazard_of_mortality(sk2,sk3)
| spl0_1 ),
inference(avatar_component_clause,[],[f48]) ).
fof(f52,definition,
( spl0_2
<=> greater(hazard_of_mortality(sk2,sk5),hazard_of_mortality(sk2,sk4)) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f54,plain,
( ~ greater(hazard_of_mortality(sk2,sk5),hazard_of_mortality(sk2,sk4))
| spl0_2 ),
inference(avatar_component_clause,[],[f52]) ).
fof(f56,definition,
( spl0_3
<=> greater(hazard_of_mortality(sk2,sk6),hazard_of_mortality(sk2,sk5)) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f58,plain,
( ~ greater(hazard_of_mortality(sk2,sk6),hazard_of_mortality(sk2,sk5))
| spl0_3 ),
inference(avatar_component_clause,[],[f56]) ).
fof(f59,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f43,f56,f52,f48]) ).
fof(f62,plain,
smaller(zero,eta),
inference(resolution,[],[f8,f42]) ).
fof(f72,plain,
smaller_or_equal(zero,eta),
inference(resolution,[],[f62,f2]) ).
fof(f74,plain,
( smaller(age(sk2,sk5),sigma)
| sigma = age(sk2,sk5) ),
inference(resolution,[],[f1,f39]) ).
fof(f77,definition,
( spl0_4
<=> sigma = age(sk2,sk5) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f79,plain,
( sigma = age(sk2,sk5)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f77]) ).
fof(f81,definition,
( spl0_5
<=> smaller(age(sk2,sk5),sigma) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f83,plain,
( smaller(age(sk2,sk5),sigma)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f81]) ).
fof(f84,plain,
( spl0_4
| spl0_5 ),
inference(avatar_split_clause,[],[f74,f81,f77]) ).
fof(f94,plain,
! [X0] :
( ~ greater(X0,sigma)
| greater(X0,eta) ),
inference(resolution,[],[f10,f41]) ).
fof(f105,plain,
( ~ has_endowment(sk2)
| has_immunity(sk2,sk4) ),
inference(resolution,[],[f13,f37]) ).
fof(f106,plain,
( ~ smaller_or_equal(zero,eta)
| ~ has_endowment(sk2)
| has_immunity(sk2,sk3) ),
inference(superposition,[],[f13,f36]) ).
fof(f107,plain,
( ~ has_endowment(sk2)
| has_immunity(sk2,sk3) ),
inference(forward_subsumption_resolution,[],[f106,f72]) ).
fof(f108,plain,
has_immunity(sk2,sk4),
inference(forward_subsumption_resolution,[],[f105,f34]) ).
fof(f109,plain,
has_immunity(sk2,sk3),
inference(forward_subsumption_resolution,[],[f107,f34]) ).
fof(f110,plain,
( ~ has_endowment(sk2)
| ~ has_immunity(sk2,sk5) ),
inference(resolution,[],[f14,f38]) ).
fof(f113,plain,
~ has_immunity(sk2,sk5),
inference(forward_subsumption_resolution,[],[f110,f34]) ).
fof(f115,plain,
( zero != zero
| ~ organization(sk2)
| is_aligned(sk2,sk3) ),
inference(superposition,[],[f28,f36]) ).
fof(f116,plain,
( ~ organization(sk2)
| is_aligned(sk2,sk3) ),
inference(trivial_inequality_removal,[],[f115]) ).
fof(f117,plain,
is_aligned(sk2,sk3),
inference(forward_subsumption_resolution,[],[f116,f33]) ).
fof(f143,plain,
! [X0] :
( zero != zero
| ~ dissimilar(sk2,sk3,X0)
| greater(age(sk2,X0),sigma) ),
inference(superposition,[],[f46,f36]) ).
fof(f144,plain,
! [X0] :
( greater(age(sk2,X0),sigma)
| ~ dissimilar(sk2,sk3,X0) ),
inference(trivial_inequality_removal,[],[f143]) ).
fof(f165,definition,
( spl0_10
<=> is_aligned(sk2,sk5) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f167,plain,
( is_aligned(sk2,sk5)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f165]) ).
fof(f170,plain,
! [X0] :
( ~ has_immunity(sk2,X0)
| ~ organization(sk2)
| hazard_of_mortality(sk2,sk3) = hazard_of_mortality(sk2,X0) ),
inference(resolution,[],[f19,f109]) ).
fof(f171,plain,
! [X0] :
( ~ has_immunity(sk2,X0)
| hazard_of_mortality(sk2,sk3) = hazard_of_mortality(sk2,X0) ),
inference(forward_subsumption_resolution,[],[f170,f33]) ).
fof(f204,plain,
! [X0] :
( zero != zero
| ~ organization(sk2)
| ~ greater(age(sk2,X0),sigma)
| dissimilar(sk2,sk3,X0) ),
inference(superposition,[],[f30,f36]) ).
fof(f207,plain,
! [X0] :
( ~ organization(sk2)
| ~ greater(age(sk2,X0),sigma)
| dissimilar(sk2,sk3,X0) ),
inference(trivial_inequality_removal,[],[f204]) ).
fof(f208,plain,
! [X0] :
( ~ greater(age(sk2,X0),sigma)
| dissimilar(sk2,sk3,X0) ),
inference(forward_subsumption_resolution,[],[f207,f33]) ).
fof(f210,plain,
! [X2,X0,X1] :
( has_immunity(X0,X1)
| ~ organization(X0)
| greater(hazard_of_mortality(X0,X1),hazard_of_mortality(X0,X2))
| ~ is_aligned(X0,X2)
| is_aligned(X0,X1)
| ~ organization(X0) ),
inference(resolution,[],[f45,f29]) ).
fof(f212,plain,
! [X2,X0,X1] :
( greater(hazard_of_mortality(X0,X1),hazard_of_mortality(X0,X2))
| ~ organization(X0)
| has_immunity(X0,X1)
| ~ is_aligned(X0,X2)
| is_aligned(X0,X1) ),
inference(duplicate_literal_removal,[],[f210]) ).
fof(f215,plain,
greater(age(sk2,sk6),eta),
inference(resolution,[],[f94,f40]) ).
fof(f216,plain,
( ~ has_endowment(sk2)
| ~ has_immunity(sk2,sk6) ),
inference(resolution,[],[f215,f14]) ).
fof(f220,plain,
~ has_immunity(sk2,sk6),
inference(forward_subsumption_resolution,[],[f216,f34]) ).
fof(f234,plain,
! [X0] :
( ~ greater(sigma,age(sk2,X0))
| ~ dissimilar(sk2,sk3,X0) ),
inference(resolution,[],[f144,f9]) ).
fof(f237,plain,
( greater(sigma,sigma)
| ~ dissimilar(sk2,sk3,sk5)
| ~ spl0_4 ),
inference(superposition,[],[f144,f79]) ).
fof(f241,definition,
( spl0_14
<=> dissimilar(sk2,sk3,sk5) ),
introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).
fof(f242,plain,
( dissimilar(sk2,sk3,sk5)
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f241]) ).
fof(f243,plain,
( ~ dissimilar(sk2,sk3,sk5)
| spl0_14 ),
inference(avatar_component_clause,[],[f241]) ).
fof(f245,definition,
( spl0_15
<=> greater(sigma,sigma) ),
introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).
fof(f247,plain,
( greater(sigma,sigma)
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f245]) ).
fof(f248,plain,
( ~ spl0_14
| spl0_15
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f237,f77,f245,f241]) ).
fof(f251,plain,
dissimilar(sk2,sk3,sk6),
inference(resolution,[],[f208,f40]) ).
fof(f294,plain,
( ~ is_aligned(sk2,sk3)
| is_aligned(sk2,sk5)
| ~ organization(sk2)
| spl0_14 ),
inference(resolution,[],[f243,f25]) ).
fof(f295,plain,
( is_aligned(sk2,sk5)
| ~ organization(sk2)
| spl0_14 ),
inference(forward_subsumption_resolution,[],[f294,f117]) ).
fof(f296,plain,
( is_aligned(sk2,sk5)
| spl0_14 ),
inference(forward_subsumption_resolution,[],[f295,f33]) ).
fof(f297,plain,
( spl0_10
| spl0_14 ),
inference(avatar_split_clause,[],[f296,f241,f165]) ).
fof(f309,plain,
( ~ is_aligned(sk2,sk3)
| ~ is_aligned(sk2,sk6) ),
inference(resolution,[],[f251,f23]) ).
fof(f312,plain,
~ is_aligned(sk2,sk6),
inference(forward_subsumption_resolution,[],[f309,f117]) ).
fof(f442,plain,
hazard_of_mortality(sk2,sk4) = hazard_of_mortality(sk2,sk3),
inference(resolution,[],[f171,f108]) ).
fof(f444,plain,
( $false
| spl0_1 ),
inference(forward_subsumption_resolution,[],[f442,f50]) ).
fof(f445,plain,
spl0_1,
inference(avatar_contradiction_clause,[],[f444]) ).
fof(f446,plain,
( ~ greater(hazard_of_mortality(sk2,sk5),hazard_of_mortality(sk2,sk3))
| ~ spl0_1
| spl0_2 ),
inference(forward_demodulation,[],[f54,f49]) ).
fof(f470,plain,
( ~ has_immunity(sk2,sk3)
| has_immunity(sk2,sk5)
| ~ organization(sk2)
| ~ spl0_1
| spl0_2 ),
inference(resolution,[],[f446,f20]) ).
fof(f481,plain,
( has_immunity(sk2,sk5)
| ~ organization(sk2)
| ~ spl0_1
| spl0_2 ),
inference(forward_subsumption_resolution,[],[f470,f109]) ).
fof(f483,plain,
( ~ organization(sk2)
| ~ spl0_1
| spl0_2 ),
inference(forward_subsumption_resolution,[],[f481,f113]) ).
fof(f485,plain,
( $false
| ~ spl0_1
| spl0_2 ),
inference(forward_subsumption_resolution,[],[f483,f33]) ).
fof(f486,plain,
( ~ spl0_1
| spl0_2 ),
inference(avatar_contradiction_clause,[],[f485]) ).
fof(f498,plain,
( ~ organization(sk2)
| has_immunity(sk2,sk6)
| ~ is_aligned(sk2,sk5)
| is_aligned(sk2,sk6)
| spl0_3 ),
inference(resolution,[],[f58,f212]) ).
fof(f510,plain,
( has_immunity(sk2,sk6)
| ~ is_aligned(sk2,sk5)
| is_aligned(sk2,sk6)
| spl0_3 ),
inference(forward_subsumption_resolution,[],[f498,f33]) ).
fof(f512,plain,
( ~ is_aligned(sk2,sk5)
| is_aligned(sk2,sk6)
| spl0_3 ),
inference(forward_subsumption_resolution,[],[f510,f220]) ).
fof(f514,plain,
( is_aligned(sk2,sk6)
| spl0_3
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f512,f167]) ).
fof(f524,plain,
( $false
| spl0_3
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f514,f312]) ).
fof(f525,plain,
( spl0_3
| ~ spl0_10 ),
inference(avatar_contradiction_clause,[],[f524]) ).
fof(f549,plain,
( ~ greater(sigma,sigma)
| ~ spl0_15 ),
inference(resolution,[],[f247,f9]) ).
fof(f551,plain,
( $false
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[],[f549,f247]) ).
fof(f552,plain,
~ spl0_15,
inference(avatar_contradiction_clause,[],[f551]) ).
fof(f553,plain,
( greater(sigma,age(sk2,sk5))
| ~ spl0_5 ),
inference(resolution,[],[f83,f7]) ).
fof(f577,plain,
( ~ dissimilar(sk2,sk3,sk5)
| ~ spl0_5 ),
inference(resolution,[],[f553,f234]) ).
fof(f583,plain,
( $false
| ~ spl0_5
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f577,f242]) ).
fof(f584,plain,
( ~ spl0_5
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f583]) ).
cnf(s1,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3 ),
inference(sat_conversion,[],[f59]) ).
cnf(s2,plain,
( spl0_4
| spl0_5 ),
inference(sat_conversion,[],[f84]) ).
cnf(s8,plain,
( ~ spl0_4
| ~ spl0_14
| spl0_15 ),
inference(sat_conversion,[],[f248]) ).
cnf(s11,plain,
( spl0_10
| spl0_14 ),
inference(sat_conversion,[],[f297]) ).
cnf(s12,plain,
spl0_1,
inference(sat_conversion,[],[f445]) ).
cnf(s14,plain,
( ~ spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f486]) ).
cnf(s18,plain,
( spl0_3
| ~ spl0_10 ),
inference(sat_conversion,[],[f525]) ).
cnf(s21,plain,
~ spl0_15,
inference(sat_conversion,[],[f552]) ).
cnf(s22,plain,
( ~ spl0_5
| ~ spl0_14 ),
inference(sat_conversion,[],[f584]) ).
cnf(s23,plain,
spl0_2,
inference(rat,[],[s14,s12]) ).
cnf(s24,plain,
( ~ spl0_4
| ~ spl0_14 ),
inference(rat,[],[s8,s21]) ).
cnf(s25,plain,
~ spl0_3,
inference(rat,[],[s1,s23,s12]) ).
cnf(s26,plain,
~ spl0_10,
inference(rat,[],[s18,s25]) ).
cnf(s27,plain,
spl0_14,
inference(rat,[],[s11,s26]) ).
cnf(s28,plain,
~ spl0_5,
inference(rat,[],[s22,s27]) ).
cnf(s29,plain,
~ spl0_4,
inference(rat,[],[s24,s27]) ).
cnf(s30,plain,
$false,
inference(rat,[],[s2,s28,s29]) ).
fof(f585,plain,
$false,
inference(avatar_sat_refutation,[],[s30]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT055-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.37 % Computer : n017.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sun Sep 27 17:25:05 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.41 Running first-order theorem proving
% 0.11/0.41 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.59/1.28 % (2823634)Input is clausal, will run a generic CNF schedule.
% 2.59/1.28 % (2823645)dis-21_1_sil=8000:lcm=predicate:random_seed=1917790891:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 2.59/1.28 % (2823645)Instruction limit reached!
% 2.59/1.28 % (2823645)------------------------------
% 2.59/1.28 % (2823645)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.59/1.28 % (2823645)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.59/1.28 % (2823645)CaDiCaL version: 2.1.3
% 2.59/1.28 % (2823645)Termination reason: Instruction limit
% 2.59/1.28 % (2823645)Termination phase: Saturation
% 2.59/1.28 % (2823645)Time elapsed: 0.024 s
% 2.59/1.28 % (2823645)Peak memory usage: 88 MB
% 2.59/1.28 % (2823645)Instructions burned: 120 (million)
% 2.59/1.28 % (2823640)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1224720954:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.59/1.28 % (2823639)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=3386427270:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.59/1.28 % (2823642)lrs+10_1_sil=8000:sp=occurrence:random_seed=169805987:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.59/1.28 % (2823643)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3478012077:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.59/1.28 % (2823641)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2029377299:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.59/1.28 % (2823644)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2118395657:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.59/1.28 % (2823642)First to succeed.
% 2.59/1.28 % (2823642)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2823634"
% 2.59/1.28 % (2823643)Instruction limit reached!
% 2.59/1.28 % (2823643)------------------------------
% 2.59/1.28 % (2823643)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.59/1.28 % (2823643)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.59/1.28 % (2823643)CaDiCaL version: 2.1.3
% 2.59/1.28 % (2823643)Termination reason: Instruction limit
% 2.59/1.28 % (2823643)Termination phase: Saturation
% 2.59/1.28 % (2823643)Time elapsed: 0.059 s
% 2.59/1.28 % (2823643)Peak memory usage: 88 MB
% 2.59/1.28 % (2823643)Instructions burned: 116 (million)
% 2.59/1.28 % (2823647)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=2678975230:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 2.59/1.28 % (2823647)Instruction limit reached!
% 2.59/1.28 % (2823647)------------------------------
% 2.59/1.28 % (2823647)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.59/1.28 % (2823647)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.59/1.28 % (2823647)CaDiCaL version: 2.1.3
% 2.59/1.28 % (2823647)Termination reason: Instruction limit
% 2.59/1.28 % (2823647)Termination phase: Saturation
% 2.59/1.28 % (2823647)Time elapsed: 0.046 s
% 2.59/1.28 % (2823647)Peak memory usage: 89 MB
% 2.59/1.28 % (2823647)Instructions burned: 147 (million)
% 2.59/1.28 % (2823644)Instruction limit reached!
% 2.59/1.28 % (2823644)------------------------------
% 2.59/1.28 % (2823644)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.59/1.28 % (2823644)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.59/1.28 % (2823644)CaDiCaL version: 2.1.3
% 2.59/1.28 % (2823644)Termination reason: Instruction limit
% 2.59/1.28 % (2823644)Termination phase: Saturation
% 2.59/1.28 % (2823644)Time elapsed: 0.130 s
% 2.59/1.28 % (2823644)Peak memory usage: 89 MB
% 2.59/1.28 % (2823644)Instructions burned: 180 (million)
% 2.59/1.28 % (2823654)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=1946755495:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2997 on theBenchmark for (2997ds/189Mi)
% 2.59/1.28 % (2823656)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=824512898:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 2.59/1.28 % (2823654)Also succeeded, but the first one will report.
% 2.59/1.28 % (2823642)Refutation found. Thanks to Tanya!
% 2.59/1.28 % SZS status Unsatisfiable for theBenchmark
% 2.59/1.28 % SZS output start Proof for theBenchmark
% See solution above
% 3.58/1.48 % (2823642)------------------------------
% 3.58/1.48 % (2823642)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.58/1.48 % (2823642)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.58/1.48 % (2823642)CaDiCaL version: 2.1.3
% 3.58/1.48 % (2823642)Termination reason: Refutation
% 3.58/1.48 % (2823642)Time elapsed: 0.016 s
% 3.58/1.48 % (2823642)Peak memory usage: 89 MB
% 3.58/1.48 % (2823642)Instructions burned: 20 (million)
% 3.58/1.48 % (2823642)------------------------------
% 3.58/1.48 % (2823642)------------------------------
% 3.58/1.48 % (2823634)Success in time 0.424 s
% 3.58/1.48 % Vampire exiting
%------------------------------------------------------------------------------