%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : MGT062-1 : 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 : n018.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 12:02:17 PM UTC 2026
% Result : Unsatisfiable 2.70s 1.27s
% Output : Refutation 3.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 40
% Syntax : Number of formulae : 163 ( 37 unt; 14 def)
% Number of atoms : 377 ( 37 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 401 ( 187 ~; 200 |; 0 &)
% ( 14 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 26 ( 24 usr; 15 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 9 con; 0-2 aty)
% Number of variables : 51 ( 0 sgn 51 !; 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(f12,axiom,
! [X0,X1] :
( ~ has_immunity(X0,X1)
| has_endowment(X0)
| ~ organization(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_1_39) ).
fof(f13,axiom,
! [X2,X0,X1] :
( ~ dissimilar(X0,X1,X2)
| organization(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_2_40) ).
fof(f15,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_42) ).
fof(f17,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_44) ).
fof(f20,axiom,
! [X0,X1] :
( age(X0,X1) != zero
| ~ organization(X0)
| is_aligned(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_13_47) ).
fof(f21,axiom,
! [X2,X0,X1] :
( ~ organization(X0)
| age(X0,X1) != zero
| ~ greater(age(X0,X2),sigma)
| dissimilar(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_15_48) ).
fof(f22,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_49) ).
fof(f23,axiom,
! [X0,X1] :
( ~ smaller_or_equal(age(X0,X1),tau)
| ~ robust_position(X0)
| ~ positional_advantage(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_4_50) ).
fof(f24,axiom,
! [X0,X1] :
( ~ greater(age(X0,X1),tau)
| ~ robust_position(X0)
| positional_advantage(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_4_51) ).
fof(f31,axiom,
! [X0,X1] :
( ~ positional_advantage(X0,X1)
| has_immunity(X0,X1)
| is_aligned(X0,X1)
| ~ organization(X0)
| hazard_of_mortality(X0,X1) = mod1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_17_58) ).
fof(f32,axiom,
! [X0,X1] :
( ~ is_aligned(X0,X1)
| has_immunity(X0,X1)
| ~ organization(X0)
| positional_advantage(X0,X1)
| hazard_of_mortality(X0,X1) = mod2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_17_59) ).
fof(f34,axiom,
greater(mod2,mod1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_19_61) ).
fof(f35,negated_conjecture,
organization(sk2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',theorem_8_62) ).
fof(f36,negated_conjecture,
robust_position(sk2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',theorem_8_63) ).
fof(f37,negated_conjecture,
~ has_endowment(sk2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',theorem_8_64) ).
fof(f38,negated_conjecture,
age(sk2,sk3) = zero,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',theorem_8_65) ).
fof(f39,plain,
zero = age(sk2,sk3),
inference(reorient_equations,[],[f38]) ).
fof(f41,negated_conjecture,
greater(tau,zero),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',theorem_8_67) ).
fof(f42,negated_conjecture,
sigma = tau,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',theorem_8_68) ).
fof(f43,negated_conjecture,
smaller_or_equal(age(sk2,sk4),sigma),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',theorem_8_69) ).
fof(f44,negated_conjecture,
greater(age(sk2,sk5),sigma),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',theorem_8_70) ).
fof(f45,negated_conjecture,
( ~ smaller(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',theorem_8_71) ).
fof(f47,plain,
smaller_or_equal(age(sk2,sk4),tau),
inference(definition_unfolding,[],[f43,f42]) ).
fof(f48,plain,
greater(age(sk2,sk5),tau),
inference(definition_unfolding,[],[f44,f42]) ).
fof(f49,plain,
! [X2,X0,X1] :
( ~ organization(X0)
| age(X0,X1) != zero
| ~ dissimilar(X0,X1,X2)
| greater(age(X0,X2),tau) ),
inference(definition_unfolding,[],[f22,f42]) ).
fof(f50,plain,
! [X2,X0,X1] :
( age(X0,X1) != zero
| ~ organization(X0)
| ~ greater(age(X0,X2),tau)
| dissimilar(X0,X1,X2) ),
inference(definition_unfolding,[],[f21,f42]) ).
fof(f52,plain,
! [X2,X0,X1] :
( age(X0,X1) != zero
| ~ dissimilar(X0,X1,X2)
| greater(age(X0,X2),tau) ),
inference(forward_subsumption_resolution,[],[f49,f13]) ).
fof(f54,definition,
( spl0_1
<=> hazard_of_mortality(sk2,sk4) = hazard_of_mortality(sk2,sk3) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f56,plain,
( hazard_of_mortality(sk2,sk4) != hazard_of_mortality(sk2,sk3)
| spl0_1 ),
inference(avatar_component_clause,[],[f54]) ).
fof(f58,definition,
( spl0_2
<=> smaller(hazard_of_mortality(sk2,sk5),hazard_of_mortality(sk2,sk4)) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f60,plain,
( ~ smaller(hazard_of_mortality(sk2,sk5),hazard_of_mortality(sk2,sk4))
| spl0_2 ),
inference(avatar_component_clause,[],[f58]) ).
fof(f61,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f45,f58,f54]) ).
fof(f62,plain,
! [X0] :
( zero != zero
| ~ dissimilar(sk2,sk3,X0)
| greater(age(sk2,X0),tau) ),
inference(superposition,[],[f52,f39]) ).
fof(f63,plain,
! [X0] :
( greater(age(sk2,X0),tau)
| ~ dissimilar(sk2,sk3,X0) ),
inference(trivial_inequality_removal,[],[f62]) ).
fof(f64,plain,
! [X0] :
( zero != zero
| ~ organization(sk2)
| ~ greater(age(sk2,X0),tau)
| dissimilar(sk2,sk3,X0) ),
inference(superposition,[],[f50,f39]) ).
fof(f65,plain,
! [X0] :
( ~ organization(sk2)
| ~ greater(age(sk2,X0),tau)
| dissimilar(sk2,sk3,X0) ),
inference(trivial_inequality_removal,[],[f64]) ).
fof(f66,plain,
! [X0] :
( ~ greater(age(sk2,X0),tau)
| dissimilar(sk2,sk3,X0) ),
inference(forward_subsumption_resolution,[],[f65,f35]) ).
fof(f77,plain,
dissimilar(sk2,sk3,sk5),
inference(resolution,[],[f66,f48]) ).
fof(f82,plain,
smaller(zero,tau),
inference(resolution,[],[f8,f41]) ).
fof(f85,plain,
smaller(mod1,mod2),
inference(resolution,[],[f8,f34]) ).
fof(f87,plain,
smaller_or_equal(zero,tau),
inference(resolution,[],[f82,f2]) ).
fof(f95,plain,
( smaller(age(sk2,sk4),tau)
| tau = age(sk2,sk4) ),
inference(resolution,[],[f1,f47]) ).
fof(f99,definition,
( spl0_5
<=> tau = age(sk2,sk4) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f101,plain,
( tau = age(sk2,sk4)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f99]) ).
fof(f103,definition,
( spl0_6
<=> smaller(age(sk2,sk4),tau) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f105,plain,
( smaller(age(sk2,sk4),tau)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f103]) ).
fof(f106,plain,
( spl0_5
| spl0_6 ),
inference(avatar_split_clause,[],[f95,f103,f99]) ).
fof(f109,plain,
( greater(tau,tau)
| ~ dissimilar(sk2,sk3,sk4)
| ~ spl0_5 ),
inference(superposition,[],[f63,f101]) ).
fof(f122,definition,
( spl0_9
<=> dissimilar(sk2,sk3,sk4) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f123,plain,
( dissimilar(sk2,sk3,sk4)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f122]) ).
fof(f124,plain,
( ~ dissimilar(sk2,sk3,sk4)
| spl0_9 ),
inference(avatar_component_clause,[],[f122]) ).
fof(f126,definition,
( spl0_10
<=> greater(tau,tau) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f128,plain,
( greater(tau,tau)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f126]) ).
fof(f129,plain,
( ~ spl0_9
| spl0_10
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f109,f99,f126,f122]) ).
fof(f148,definition,
( spl0_12
<=> is_aligned(sk2,sk5) ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
fof(f149,plain,
( ~ is_aligned(sk2,sk5)
| spl0_12 ),
inference(avatar_component_clause,[],[f148]) ).
fof(f150,plain,
( is_aligned(sk2,sk5)
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f148]) ).
fof(f152,definition,
( spl0_13
<=> is_aligned(sk2,sk3) ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
fof(f153,plain,
( ~ is_aligned(sk2,sk3)
| spl0_13 ),
inference(avatar_component_clause,[],[f152]) ).
fof(f154,plain,
( is_aligned(sk2,sk3)
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f152]) ).
fof(f156,plain,
( ~ is_aligned(sk2,sk3)
| ~ is_aligned(sk2,sk5) ),
inference(resolution,[],[f15,f77]) ).
fof(f157,plain,
( ~ is_aligned(sk2,sk3)
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[],[f156,f150]) ).
fof(f158,plain,
( ~ spl0_13
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f157,f148,f152]) ).
fof(f159,plain,
( zero != zero
| ~ organization(sk2)
| is_aligned(sk2,sk3) ),
inference(superposition,[],[f20,f39]) ).
fof(f161,plain,
( ~ organization(sk2)
| is_aligned(sk2,sk3) ),
inference(trivial_inequality_removal,[],[f159]) ).
fof(f162,plain,
is_aligned(sk2,sk3),
inference(forward_subsumption_resolution,[],[f161,f35]) ).
fof(f163,plain,
( $false
| spl0_13 ),
inference(forward_subsumption_resolution,[],[f162,f153]) ).
fof(f164,plain,
spl0_13,
inference(avatar_contradiction_clause,[],[f163]) ).
fof(f165,plain,
( ~ robust_position(sk2)
| ~ positional_advantage(sk2,sk4) ),
inference(resolution,[],[f23,f47]) ).
fof(f166,plain,
( ~ smaller_or_equal(zero,tau)
| ~ robust_position(sk2)
| ~ positional_advantage(sk2,sk3) ),
inference(superposition,[],[f23,f39]) ).
fof(f169,plain,
( ~ robust_position(sk2)
| ~ positional_advantage(sk2,sk3) ),
inference(forward_subsumption_resolution,[],[f166,f87]) ).
fof(f170,plain,
~ positional_advantage(sk2,sk4),
inference(forward_subsumption_resolution,[],[f165,f36]) ).
fof(f172,plain,
~ positional_advantage(sk2,sk3),
inference(forward_subsumption_resolution,[],[f169,f36]) ).
fof(f173,plain,
( ~ robust_position(sk2)
| positional_advantage(sk2,sk5) ),
inference(resolution,[],[f24,f48]) ).
fof(f179,plain,
positional_advantage(sk2,sk5),
inference(forward_subsumption_resolution,[],[f173,f36]) ).
fof(f193,plain,
( ~ is_aligned(sk2,sk3)
| is_aligned(sk2,sk4)
| ~ organization(sk2)
| spl0_9 ),
inference(resolution,[],[f124,f17]) ).
fof(f194,plain,
( is_aligned(sk2,sk4)
| ~ organization(sk2)
| spl0_9
| ~ spl0_13 ),
inference(forward_subsumption_resolution,[],[f193,f154]) ).
fof(f195,plain,
( is_aligned(sk2,sk4)
| spl0_9
| ~ spl0_13 ),
inference(forward_subsumption_resolution,[],[f194,f35]) ).
fof(f220,plain,
( has_immunity(sk2,sk5)
| is_aligned(sk2,sk5)
| ~ organization(sk2)
| mod1 = hazard_of_mortality(sk2,sk5) ),
inference(resolution,[],[f31,f179]) ).
fof(f221,plain,
( has_immunity(sk2,sk5)
| ~ organization(sk2)
| mod1 = hazard_of_mortality(sk2,sk5)
| spl0_12 ),
inference(forward_subsumption_resolution,[],[f220,f149]) ).
fof(f222,plain,
( has_immunity(sk2,sk5)
| mod1 = hazard_of_mortality(sk2,sk5)
| spl0_12 ),
inference(forward_subsumption_resolution,[],[f221,f35]) ).
fof(f224,definition,
( spl0_14
<=> mod1 = hazard_of_mortality(sk2,sk5) ),
introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).
fof(f226,plain,
( mod1 = hazard_of_mortality(sk2,sk5)
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f224]) ).
fof(f228,definition,
( spl0_15
<=> has_immunity(sk2,sk5) ),
introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).
fof(f230,plain,
( has_immunity(sk2,sk5)
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f228]) ).
fof(f231,plain,
( spl0_14
| spl0_15
| spl0_12 ),
inference(avatar_split_clause,[],[f222,f148,f228,f224]) ).
fof(f232,plain,
( has_immunity(sk2,sk3)
| ~ organization(sk2)
| positional_advantage(sk2,sk3)
| mod2 = hazard_of_mortality(sk2,sk3)
| ~ spl0_13 ),
inference(resolution,[],[f32,f154]) ).
fof(f233,plain,
( has_immunity(sk2,sk4)
| ~ organization(sk2)
| positional_advantage(sk2,sk4)
| mod2 = hazard_of_mortality(sk2,sk4)
| spl0_9
| ~ spl0_13 ),
inference(resolution,[],[f32,f195]) ).
fof(f234,plain,
( has_immunity(sk2,sk4)
| positional_advantage(sk2,sk4)
| mod2 = hazard_of_mortality(sk2,sk4)
| spl0_9
| ~ spl0_13 ),
inference(forward_subsumption_resolution,[],[f233,f35]) ).
fof(f235,plain,
( has_immunity(sk2,sk3)
| positional_advantage(sk2,sk3)
| mod2 = hazard_of_mortality(sk2,sk3)
| ~ spl0_13 ),
inference(forward_subsumption_resolution,[],[f232,f35]) ).
fof(f236,plain,
( has_immunity(sk2,sk4)
| mod2 = hazard_of_mortality(sk2,sk4)
| spl0_9
| ~ spl0_13 ),
inference(forward_subsumption_resolution,[],[f234,f170]) ).
fof(f237,plain,
( has_immunity(sk2,sk3)
| mod2 = hazard_of_mortality(sk2,sk3)
| ~ spl0_13 ),
inference(forward_subsumption_resolution,[],[f235,f172]) ).
fof(f239,definition,
( spl0_16
<=> mod2 = hazard_of_mortality(sk2,sk4) ),
introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).
fof(f241,plain,
( mod2 = hazard_of_mortality(sk2,sk4)
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f239]) ).
fof(f243,definition,
( spl0_17
<=> has_immunity(sk2,sk4) ),
introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).
fof(f245,plain,
( has_immunity(sk2,sk4)
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f243]) ).
fof(f246,plain,
( spl0_16
| spl0_17
| spl0_9
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f236,f152,f122,f243,f239]) ).
fof(f248,definition,
( spl0_18
<=> mod2 = hazard_of_mortality(sk2,sk3) ),
introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).
fof(f250,plain,
( mod2 = hazard_of_mortality(sk2,sk3)
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f248]) ).
fof(f252,definition,
( spl0_19
<=> has_immunity(sk2,sk3) ),
introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).
fof(f254,plain,
( has_immunity(sk2,sk3)
| ~ spl0_19 ),
inference(avatar_component_clause,[],[f252]) ).
fof(f255,plain,
( spl0_18
| spl0_19
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f237,f152,f252,f248]) ).
fof(f276,plain,
( greater(tau,age(sk2,sk4))
| ~ spl0_6 ),
inference(resolution,[],[f105,f7]) ).
fof(f279,plain,
( ~ greater(age(sk2,sk4),tau)
| ~ spl0_6 ),
inference(resolution,[],[f276,f9]) ).
fof(f288,plain,
( ~ dissimilar(sk2,sk3,sk4)
| ~ spl0_6 ),
inference(resolution,[],[f279,f63]) ).
fof(f291,plain,
( mod2 != hazard_of_mortality(sk2,sk3)
| spl0_1
| ~ spl0_16 ),
inference(superposition,[],[f56,f241]) ).
fof(f292,plain,
( $false
| spl0_1
| ~ spl0_16
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[],[f291,f250]) ).
fof(f293,plain,
( spl0_1
| ~ spl0_16
| ~ spl0_18 ),
inference(avatar_contradiction_clause,[],[f292]) ).
fof(f295,plain,
( ~ smaller(hazard_of_mortality(sk2,sk5),mod2)
| spl0_2
| ~ spl0_16 ),
inference(forward_demodulation,[],[f60,f241]) ).
fof(f296,plain,
( ~ smaller(mod1,mod2)
| spl0_2
| ~ spl0_14
| ~ spl0_16 ),
inference(forward_demodulation,[],[f295,f226]) ).
fof(f297,plain,
( $false
| spl0_2
| ~ spl0_14
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[],[f296,f85]) ).
fof(f298,plain,
( spl0_2
| ~ spl0_14
| ~ spl0_16 ),
inference(avatar_contradiction_clause,[],[f297]) ).
fof(f300,plain,
( has_endowment(sk2)
| ~ organization(sk2)
| ~ spl0_15 ),
inference(resolution,[],[f230,f12]) ).
fof(f301,plain,
( ~ organization(sk2)
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[],[f300,f37]) ).
fof(f303,plain,
( $false
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[],[f301,f35]) ).
fof(f304,plain,
~ spl0_15,
inference(avatar_contradiction_clause,[],[f303]) ).
fof(f310,plain,
( has_endowment(sk2)
| ~ organization(sk2)
| ~ spl0_17 ),
inference(resolution,[],[f245,f12]) ).
fof(f311,plain,
( ~ organization(sk2)
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f310,f37]) ).
fof(f313,plain,
( $false
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f311,f35]) ).
fof(f314,plain,
~ spl0_17,
inference(avatar_contradiction_clause,[],[f313]) ).
fof(f323,plain,
( has_endowment(sk2)
| ~ organization(sk2)
| ~ spl0_19 ),
inference(resolution,[],[f254,f12]) ).
fof(f324,plain,
( ~ organization(sk2)
| ~ spl0_19 ),
inference(forward_subsumption_resolution,[],[f323,f37]) ).
fof(f326,plain,
( $false
| ~ spl0_19 ),
inference(forward_subsumption_resolution,[],[f324,f35]) ).
fof(f327,plain,
~ spl0_19,
inference(avatar_contradiction_clause,[],[f326]) ).
fof(f329,plain,
( $false
| ~ spl0_6
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[],[f288,f123]) ).
fof(f330,plain,
( ~ spl0_6
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f329]) ).
fof(f341,plain,
( ~ greater(tau,tau)
| ~ robust_position(sk2)
| positional_advantage(sk2,sk4)
| ~ spl0_5 ),
inference(superposition,[],[f24,f101]) ).
fof(f346,plain,
( ~ robust_position(sk2)
| positional_advantage(sk2,sk4)
| ~ spl0_5
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f341,f128]) ).
fof(f347,plain,
( positional_advantage(sk2,sk4)
| ~ spl0_5
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f346,f36]) ).
fof(f348,plain,
( $false
| ~ spl0_5
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f347,f170]) ).
fof(f349,plain,
( ~ spl0_5
| ~ spl0_10 ),
inference(avatar_contradiction_clause,[],[f348]) ).
cnf(s1,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(sat_conversion,[],[f61]) ).
cnf(s4,plain,
( spl0_5
| spl0_6 ),
inference(sat_conversion,[],[f106]) ).
cnf(s6,plain,
( ~ spl0_5
| ~ spl0_9
| spl0_10 ),
inference(sat_conversion,[],[f129]) ).
cnf(s10,plain,
( ~ spl0_12
| ~ spl0_13 ),
inference(sat_conversion,[],[f158]) ).
cnf(s11,plain,
spl0_13,
inference(sat_conversion,[],[f164]) ).
cnf(s12,plain,
( spl0_12
| spl0_14
| spl0_15 ),
inference(sat_conversion,[],[f231]) ).
cnf(s13,plain,
( spl0_9
| ~ spl0_13
| spl0_16
| spl0_17 ),
inference(sat_conversion,[],[f246]) ).
cnf(s14,plain,
( ~ spl0_13
| spl0_18
| spl0_19 ),
inference(sat_conversion,[],[f255]) ).
cnf(s16,plain,
( spl0_1
| ~ spl0_16
| ~ spl0_18 ),
inference(sat_conversion,[],[f293]) ).
cnf(s17,plain,
( spl0_2
| ~ spl0_14
| ~ spl0_16 ),
inference(sat_conversion,[],[f298]) ).
cnf(s18,plain,
~ spl0_15,
inference(sat_conversion,[],[f304]) ).
cnf(s20,plain,
~ spl0_17,
inference(sat_conversion,[],[f314]) ).
cnf(s21,plain,
~ spl0_19,
inference(sat_conversion,[],[f327]) ).
cnf(s22,plain,
( ~ spl0_6
| ~ spl0_9 ),
inference(sat_conversion,[],[f330]) ).
cnf(s23,plain,
( ~ spl0_5
| ~ spl0_10 ),
inference(sat_conversion,[],[f349]) ).
cnf(s25,plain,
( ~ spl0_13
| spl0_18 ),
inference(rat,[],[s14,s21]) ).
cnf(s26,plain,
( spl0_9
| ~ spl0_13
| spl0_16 ),
inference(rat,[],[s13,s20]) ).
cnf(s27,plain,
( spl0_12
| spl0_14 ),
inference(rat,[],[s12,s18]) ).
cnf(s28,plain,
spl0_18,
inference(rat,[],[s25,s11]) ).
cnf(s29,plain,
~ spl0_12,
inference(rat,[],[s10,s11]) ).
cnf(s30,plain,
spl0_14,
inference(rat,[],[s27,s29]) ).
cnf(s31,plain,
~ spl0_9,
inference(rat,[],[s6,s23,s4,s22]) ).
cnf(s32,plain,
spl0_16,
inference(rat,[],[s26,s11,s31]) ).
cnf(s33,plain,
spl0_1,
inference(rat,[],[s16,s28,s32]) ).
cnf(s34,plain,
spl0_2,
inference(rat,[],[s17,s30,s32]) ).
cnf(s35,plain,
$false,
inference(rat,[],[s1,s34,s33]) ).
fof(f350,plain,
$false,
inference(avatar_sat_refutation,[],[s35]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT062-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.37 % Computer : n018.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sun Sep 27 17:33:24 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.41 Running first-order theorem proving
% 0.10/0.41 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
% 2.70/1.27 % (2621573)Input is clausal, will run a generic CNF schedule.
% 2.70/1.27 % (2621582)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2647053333:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.70/1.27 % (2621584)dis-21_1_sil=8000:lcm=predicate:random_seed=594334363: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)
% 2.70/1.27 % (2621579)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3150220158:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.70/1.27 % (2621581)lrs+10_1_sil=8000:sp=occurrence:random_seed=245565417:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.70/1.27 % (2621578)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=4139251006:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.70/1.27 % (2621580)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3476602985:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.70/1.27 % (2621583)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1196047076:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.70/1.27 % (2621581)First to succeed.
% 2.70/1.27 % (2621581)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2621573"
% 2.70/1.27 % (2621582)Instruction limit reached!
% 2.70/1.27 % (2621582)------------------------------
% 2.70/1.27 % (2621582)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.70/1.27 % (2621582)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.70/1.27 % (2621582)CaDiCaL version: 2.1.3
% 2.70/1.27 % (2621582)Termination reason: Instruction limit
% 2.70/1.27 % (2621582)Termination phase: Saturation
% 2.70/1.27 % (2621582)Time elapsed: 0.043 s
% 2.70/1.27 % (2621582)Peak memory usage: 88 MB
% 2.70/1.27 % (2621582)Instructions burned: 116 (million)
% 2.70/1.27 % (2621583)Also succeeded, but the first one will report.
% 2.70/1.27 % (2621584)Instruction limit reached!
% 2.70/1.27 % (2621584)------------------------------
% 2.70/1.27 % (2621584)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.70/1.27 % (2621584)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.70/1.27 % (2621584)CaDiCaL version: 2.1.3
% 2.70/1.27 % (2621584)Termination reason: Instruction limit
% 2.70/1.27 % (2621584)Termination phase: Saturation
% 2.70/1.27 % (2621584)Time elapsed: 0.045 s
% 2.70/1.27 % (2621584)Peak memory usage: 88 MB
% 2.70/1.27 % (2621584)Instructions burned: 119 (million)
% 2.70/1.27 % (2621592)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=1297245921:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 2.70/1.27 % (2621592)Instruction limit reached!
% 2.70/1.27 % (2621592)------------------------------
% 2.70/1.27 % (2621592)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.70/1.27 % (2621592)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.70/1.27 % (2621592)CaDiCaL version: 2.1.3
% 2.70/1.27 % (2621592)Termination reason: Instruction limit
% 2.70/1.27 % (2621592)Termination phase: Saturation
% 2.70/1.27 % (2621592)Time elapsed: 0.048 s
% 2.70/1.27 % (2621592)Peak memory usage: 89 MB
% 2.70/1.27 % (2621592)Instructions burned: 147 (million)
% 2.70/1.27 % (2621593)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=1654461294:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2998 on theBenchmark for (2998ds/189Mi)
% 2.70/1.27 % (2621593)Also succeeded, but the first one will report.
% 2.70/1.27 % (2621581)Refutation found. Thanks to Tanya!
% 2.70/1.27 % SZS status Unsatisfiable for theBenchmark
% 2.70/1.27 % SZS output start Proof for theBenchmark
% See solution above
% 3.42/1.37 % (2621581)------------------------------
% 3.42/1.37 % (2621581)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.42/1.37 % (2621581)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.42/1.37 % (2621581)CaDiCaL version: 2.1.3
% 3.42/1.37 % (2621581)Termination reason: Refutation
% 3.42/1.37 % (2621581)Time elapsed: 0.009 s
% 3.42/1.37 % (2621581)Peak memory usage: 89 MB
% 3.42/1.37 % (2621581)Instructions burned: 11 (million)
% 3.42/1.37 % (2621581)------------------------------
% 3.42/1.37 % (2621581)------------------------------
% 3.42/1.37 % (2621573)Success in time 0.415 s
% 3.42/1.37 % Vampire exiting
%------------------------------------------------------------------------------