%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : MGT042-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n013.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 12:02:12 PM UTC 2026
% Result : Unsatisfiable 1.64s 1.06s
% Output : Refutation 3.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 35
% Syntax : Number of formulae : 147 ( 23 unt; 12 def)
% Number of atoms : 405 ( 51 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 462 ( 204 ~; 246 |; 0 &)
% ( 12 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 20 ( 18 usr; 13 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 3 con; 0-2 aty)
% Number of variables : 54 ( 0 sgn 54 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( ~ smaller_or_equal(X0,X1)
| smaller(X0,X1)
| X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_smaller_or_equal_1) ).
fof(f3,axiom,
! [X0,X1] :
( X0 != X1
| smaller_or_equal(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_smaller_or_equal_3) ).
fof(f4,axiom,
! [X0,X1] :
( ~ greater_or_equal(X0,X1)
| greater(X0,X1)
| X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_greater_or_equal_4) ).
fof(f5,axiom,
! [X0,X1] :
( ~ greater(X0,X1)
| greater_or_equal(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_greater_or_equal_5) ).
fof(f6,axiom,
! [X0,X1] :
( X0 != X1
| greater_or_equal(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_greater_or_equal_6) ).
fof(f7,axiom,
! [X0,X1] :
( ~ smaller(X0,X1)
| greater(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_smaller_7) ).
fof(f9,axiom,
! [X0,X1] :
( ~ greater(X1,X0)
| ~ greater(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',meaning_postulate_greater_strict_9) ).
fof(f11,axiom,
! [X0,X1] :
( greater(X0,X1)
| X0 = X1
| smaller(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',meaning_postulate_greater_comparable_11) ).
fof(f12,axiom,
! [X2,X0,X1] :
( ~ greater(capability(X0,X2),capability(X0,X1))
| has_immunity(X0,X1)
| has_immunity(X0,X2)
| ~ organization(X0)
| ~ greater_or_equal(position(X0,X2),position(X0,X1))
| smaller(hazard_of_mortality(X0,X2),hazard_of_mortality(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_4_38) ).
fof(f13,axiom,
! [X2,X0,X1] :
( ~ greater(position(X0,X2),position(X0,X1))
| has_immunity(X0,X1)
| has_immunity(X0,X2)
| ~ greater_or_equal(capability(X0,X2),capability(X0,X1))
| ~ organization(X0)
| smaller(hazard_of_mortality(X0,X2),hazard_of_mortality(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_4_39) ).
fof(f15,axiom,
! [X2,X0,X1] :
( ~ greater(stock_of_knowledge(X0,X1),stock_of_knowledge(X0,X2))
| ~ organization(X0)
| ~ smaller_or_equal(internal_friction(X0,X1),internal_friction(X0,X2))
| greater(capability(X0,X1),capability(X0,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_5_41) ).
fof(f16,axiom,
! [X2,X0,X1] :
( ~ greater(internal_friction(X0,X1),internal_friction(X0,X2))
| ~ smaller_or_equal(stock_of_knowledge(X0,X1),stock_of_knowledge(X0,X2))
| ~ organization(X0)
| smaller(capability(X0,X1),capability(X0,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_5_42) ).
fof(f17,axiom,
! [X2,X0,X1] :
( ~ organization(X0)
| stock_of_knowledge(X0,X1) != stock_of_knowledge(X0,X2)
| internal_friction(X0,X1) != internal_friction(X0,X2)
| capability(X0,X1) = capability(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_5_43) ).
fof(f18,plain,
! [X2,X0,X1] :
( internal_friction(X0,X1) != internal_friction(X0,X2)
| stock_of_knowledge(X0,X1) != stock_of_knowledge(X0,X2)
| ~ organization(X0)
| capability(X0,X2) = capability(X0,X1) ),
inference(reorient_equations,[],[f17]) ).
fof(f19,axiom,
! [X2,X0,X1] :
( ~ greater(external_ties(X0,X1),external_ties(X0,X2))
| ~ organization(X0)
| greater(position(X0,X1),position(X0,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_6_44) ).
fof(f20,axiom,
! [X2,X0,X1] :
( ~ organization(X0)
| external_ties(X0,X1) != external_ties(X0,X2)
| position(X0,X1) = position(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_6_45) ).
fof(f21,plain,
! [X2,X0,X1] :
( external_ties(X0,X1) != external_ties(X0,X2)
| ~ organization(X0)
| position(X0,X2) = position(X0,X1) ),
inference(reorient_equations,[],[f20]) ).
fof(f22,negated_conjecture,
organization(sk1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lemma_1_46) ).
fof(f23,negated_conjecture,
~ has_immunity(sk1,sk2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lemma_1_47) ).
fof(f24,negated_conjecture,
~ has_immunity(sk1,sk3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lemma_1_48) ).
fof(f25,negated_conjecture,
( greater(stock_of_knowledge(sk1,sk3),stock_of_knowledge(sk1,sk2))
| greater_or_equal(stock_of_knowledge(sk1,sk3),stock_of_knowledge(sk1,sk2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lemma_1_49) ).
fof(f27,negated_conjecture,
( greater(stock_of_knowledge(sk1,sk3),stock_of_knowledge(sk1,sk2))
| greater(external_ties(sk1,sk3),external_ties(sk1,sk2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lemma_1_51) ).
fof(f30,negated_conjecture,
( smaller_or_equal(internal_friction(sk1,sk3),internal_friction(sk1,sk2))
| smaller_or_equal(internal_friction(sk1,sk3),internal_friction(sk1,sk2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lemma_1_54) ).
fof(f33,negated_conjecture,
( greater_or_equal(external_ties(sk1,sk3),external_ties(sk1,sk2))
| greater(external_ties(sk1,sk3),external_ties(sk1,sk2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lemma_1_57) ).
fof(f40,negated_conjecture,
( ~ smaller(hazard_of_mortality(sk1,sk3),hazard_of_mortality(sk1,sk2))
| ~ smaller(hazard_of_mortality(sk1,sk3),hazard_of_mortality(sk1,sk2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lemma_1_64) ).
fof(f41,plain,
! [X1] : greater_or_equal(X1,X1),
inference(equality_resolution,[],[f6]) ).
fof(f42,plain,
! [X1] : smaller_or_equal(X1,X1),
inference(equality_resolution,[],[f3]) ).
fof(f43,plain,
~ smaller(hazard_of_mortality(sk1,sk3),hazard_of_mortality(sk1,sk2)),
inference(duplicate_literal_removal,[],[f40]) ).
fof(f44,plain,
smaller_or_equal(internal_friction(sk1,sk3),internal_friction(sk1,sk2)),
inference(duplicate_literal_removal,[],[f30]) ).
fof(f45,plain,
greater_or_equal(external_ties(sk1,sk3),external_ties(sk1,sk2)),
inference(forward_subsumption_resolution,[],[f33,f5]) ).
fof(f47,definition,
( spl0_1
<=> smaller_or_equal(internal_friction(sk1,sk3),internal_friction(sk1,sk2)) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f49,plain,
( smaller_or_equal(internal_friction(sk1,sk3),internal_friction(sk1,sk2))
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f47]) ).
fof(f51,definition,
( spl0_2
<=> greater_or_equal(external_ties(sk1,sk3),external_ties(sk1,sk2)) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f53,plain,
( greater_or_equal(external_ties(sk1,sk3),external_ties(sk1,sk2))
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f51]) ).
fof(f56,definition,
( spl0_3
<=> greater(external_ties(sk1,sk3),external_ties(sk1,sk2)) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f58,plain,
( greater(external_ties(sk1,sk3),external_ties(sk1,sk2))
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f56]) ).
fof(f60,plain,
spl0_1,
inference(avatar_split_clause,[],[f44,f47]) ).
fof(f62,definition,
( spl0_4
<=> greater_or_equal(stock_of_knowledge(sk1,sk3),stock_of_knowledge(sk1,sk2)) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f64,plain,
( greater_or_equal(stock_of_knowledge(sk1,sk3),stock_of_knowledge(sk1,sk2))
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f62]) ).
fof(f68,definition,
( spl0_5
<=> greater(stock_of_knowledge(sk1,sk3),stock_of_knowledge(sk1,sk2)) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f69,plain,
( ~ greater(stock_of_knowledge(sk1,sk3),stock_of_knowledge(sk1,sk2))
| spl0_5 ),
inference(avatar_component_clause,[],[f68]) ).
fof(f70,plain,
( greater(stock_of_knowledge(sk1,sk3),stock_of_knowledge(sk1,sk2))
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f68]) ).
fof(f71,plain,
( spl0_3
| spl0_5 ),
inference(avatar_split_clause,[],[f27,f68,f56]) ).
fof(f73,plain,
greater_or_equal(stock_of_knowledge(sk1,sk3),stock_of_knowledge(sk1,sk2)),
inference(forward_subsumption_resolution,[],[f25,f5]) ).
fof(f74,plain,
spl0_2,
inference(avatar_split_clause,[],[f45,f51]) ).
fof(f75,plain,
spl0_4,
inference(avatar_split_clause,[],[f73,f62]) ).
fof(f81,plain,
( smaller(internal_friction(sk1,sk3),internal_friction(sk1,sk2))
| internal_friction(sk1,sk3) = internal_friction(sk1,sk2)
| ~ spl0_1 ),
inference(resolution,[],[f1,f49]) ).
fof(f84,definition,
( spl0_6
<=> internal_friction(sk1,sk3) = internal_friction(sk1,sk2) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f86,plain,
( internal_friction(sk1,sk3) = internal_friction(sk1,sk2)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f84]) ).
fof(f88,definition,
( spl0_7
<=> smaller(internal_friction(sk1,sk3),internal_friction(sk1,sk2)) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f90,plain,
( smaller(internal_friction(sk1,sk3),internal_friction(sk1,sk2))
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f88]) ).
fof(f91,plain,
( spl0_6
| spl0_7
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f81,f47,f88,f84]) ).
fof(f93,plain,
( greater(external_ties(sk1,sk3),external_ties(sk1,sk2))
| external_ties(sk1,sk3) = external_ties(sk1,sk2)
| ~ spl0_2 ),
inference(resolution,[],[f4,f53]) ).
fof(f94,plain,
( greater(stock_of_knowledge(sk1,sk3),stock_of_knowledge(sk1,sk2))
| stock_of_knowledge(sk1,sk3) = stock_of_knowledge(sk1,sk2)
| ~ spl0_4 ),
inference(resolution,[],[f4,f64]) ).
fof(f97,definition,
( spl0_8
<=> external_ties(sk1,sk3) = external_ties(sk1,sk2) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f99,plain,
( external_ties(sk1,sk3) = external_ties(sk1,sk2)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f97]) ).
fof(f100,plain,
( spl0_8
| spl0_3
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f93,f51,f56,f97]) ).
fof(f107,plain,
! [X0,X1] :
( greater_or_equal(X0,X1)
| smaller(X0,X1)
| X0 = X1 ),
inference(resolution,[],[f11,f5]) ).
fof(f127,plain,
( ! [X0] :
( external_ties(sk1,sk2) != external_ties(sk1,X0)
| ~ organization(sk1)
| position(sk1,sk3) = position(sk1,X0) )
| ~ spl0_8 ),
inference(superposition,[],[f21,f99]) ).
fof(f129,plain,
( ! [X0] :
( external_ties(sk1,sk2) != external_ties(sk1,X0)
| position(sk1,sk3) = position(sk1,X0) )
| ~ spl0_8 ),
inference(forward_subsumption_resolution,[],[f127,f22]) ).
fof(f132,plain,
( ~ organization(sk1)
| ~ smaller_or_equal(internal_friction(sk1,sk3),internal_friction(sk1,sk2))
| greater(capability(sk1,sk3),capability(sk1,sk2))
| ~ spl0_5 ),
inference(resolution,[],[f15,f70]) ).
fof(f134,plain,
( ~ smaller_or_equal(internal_friction(sk1,sk3),internal_friction(sk1,sk2))
| greater(capability(sk1,sk3),capability(sk1,sk2))
| ~ spl0_5 ),
inference(forward_subsumption_resolution,[],[f132,f22]) ).
fof(f135,plain,
( greater(capability(sk1,sk3),capability(sk1,sk2))
| ~ spl0_1
| ~ spl0_5 ),
inference(forward_subsumption_resolution,[],[f134,f49]) ).
fof(f147,plain,
( ! [X0] :
( internal_friction(sk1,sk2) != internal_friction(sk1,X0)
| stock_of_knowledge(sk1,sk3) != stock_of_knowledge(sk1,X0)
| ~ organization(sk1)
| capability(sk1,sk3) = capability(sk1,X0) )
| ~ spl0_6 ),
inference(superposition,[],[f18,f86]) ).
fof(f149,plain,
( ! [X0] :
( internal_friction(sk1,sk2) != internal_friction(sk1,X0)
| stock_of_knowledge(sk1,sk3) != stock_of_knowledge(sk1,X0)
| capability(sk1,sk3) = capability(sk1,X0) )
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[],[f147,f22]) ).
fof(f153,plain,
( has_immunity(sk1,sk2)
| has_immunity(sk1,sk3)
| ~ organization(sk1)
| ~ greater_or_equal(position(sk1,sk3),position(sk1,sk2))
| smaller(hazard_of_mortality(sk1,sk3),hazard_of_mortality(sk1,sk2))
| ~ spl0_1
| ~ spl0_5 ),
inference(resolution,[],[f12,f135]) ).
fof(f154,plain,
! [X2,X0,X1] :
( ~ greater_or_equal(position(X0,X2),position(X0,X1))
| has_immunity(X0,X2)
| ~ organization(X0)
| has_immunity(X0,X1)
| smaller(hazard_of_mortality(X0,X2),hazard_of_mortality(X0,X1))
| capability(X0,X2) = capability(X0,X1)
| smaller(capability(X0,X2),capability(X0,X1)) ),
inference(resolution,[],[f12,f11]) ).
fof(f155,plain,
( has_immunity(sk1,sk3)
| ~ organization(sk1)
| ~ greater_or_equal(position(sk1,sk3),position(sk1,sk2))
| smaller(hazard_of_mortality(sk1,sk3),hazard_of_mortality(sk1,sk2))
| ~ spl0_1
| ~ spl0_5 ),
inference(forward_subsumption_resolution,[],[f153,f23]) ).
fof(f156,plain,
( ~ organization(sk1)
| ~ greater_or_equal(position(sk1,sk3),position(sk1,sk2))
| smaller(hazard_of_mortality(sk1,sk3),hazard_of_mortality(sk1,sk2))
| ~ spl0_1
| ~ spl0_5 ),
inference(forward_subsumption_resolution,[],[f155,f24]) ).
fof(f157,plain,
( ~ greater_or_equal(position(sk1,sk3),position(sk1,sk2))
| smaller(hazard_of_mortality(sk1,sk3),hazard_of_mortality(sk1,sk2))
| ~ spl0_1
| ~ spl0_5 ),
inference(forward_subsumption_resolution,[],[f156,f22]) ).
fof(f158,plain,
( ~ greater_or_equal(position(sk1,sk3),position(sk1,sk2))
| ~ spl0_1
| ~ spl0_5 ),
inference(forward_subsumption_resolution,[],[f157,f43]) ).
fof(f183,plain,
( smaller(position(sk1,sk3),position(sk1,sk2))
| position(sk1,sk3) = position(sk1,sk2)
| ~ spl0_1
| ~ spl0_5 ),
inference(resolution,[],[f107,f158]) ).
fof(f186,definition,
( spl0_13
<=> position(sk1,sk3) = position(sk1,sk2) ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
fof(f187,plain,
( position(sk1,sk3) != position(sk1,sk2)
| spl0_13 ),
inference(avatar_component_clause,[],[f186]) ).
fof(f188,plain,
( position(sk1,sk3) = position(sk1,sk2)
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f186]) ).
fof(f190,definition,
( spl0_14
<=> smaller(position(sk1,sk3),position(sk1,sk2)) ),
introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).
fof(f192,plain,
( smaller(position(sk1,sk3),position(sk1,sk2))
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f190]) ).
fof(f193,plain,
( spl0_13
| spl0_14
| ~ spl0_1
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f183,f68,f47,f190,f186]) ).
fof(f195,plain,
( stock_of_knowledge(sk1,sk3) = stock_of_knowledge(sk1,sk2)
| ~ spl0_4
| spl0_5 ),
inference(forward_subsumption_resolution,[],[f94,f69]) ).
fof(f245,plain,
( ~ greater_or_equal(position(sk1,sk2),position(sk1,sk2))
| ~ spl0_1
| ~ spl0_5
| ~ spl0_13 ),
inference(superposition,[],[f158,f188]) ).
fof(f262,plain,
( $false
| ~ spl0_1
| ~ spl0_5
| ~ spl0_13 ),
inference(forward_subsumption_resolution,[],[f245,f41]) ).
fof(f263,plain,
( ~ spl0_1
| ~ spl0_5
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f262]) ).
fof(f283,plain,
( greater(position(sk1,sk2),position(sk1,sk3))
| ~ spl0_14 ),
inference(resolution,[],[f192,f7]) ).
fof(f285,plain,
( position(sk1,sk3) = position(sk1,sk2)
| ~ spl0_8 ),
inference(equality_resolution,[],[f129]) ).
fof(f286,plain,
( $false
| ~ spl0_8
| spl0_13 ),
inference(forward_subsumption_resolution,[],[f285,f187]) ).
fof(f287,plain,
( ~ spl0_8
| spl0_13 ),
inference(avatar_contradiction_clause,[],[f286]) ).
fof(f288,plain,
( ~ organization(sk1)
| greater(position(sk1,sk3),position(sk1,sk2))
| ~ spl0_3 ),
inference(resolution,[],[f58,f19]) ).
fof(f294,plain,
( greater(position(sk1,sk3),position(sk1,sk2))
| ~ spl0_3 ),
inference(forward_subsumption_resolution,[],[f288,f22]) ).
fof(f315,plain,
( has_immunity(sk1,sk2)
| has_immunity(sk1,sk3)
| ~ greater_or_equal(capability(sk1,sk3),capability(sk1,sk2))
| ~ organization(sk1)
| smaller(hazard_of_mortality(sk1,sk3),hazard_of_mortality(sk1,sk2))
| ~ spl0_3 ),
inference(resolution,[],[f294,f13]) ).
fof(f318,plain,
( ~ greater(position(sk1,sk2),position(sk1,sk3))
| ~ spl0_3 ),
inference(resolution,[],[f294,f9]) ).
fof(f320,plain,
( greater_or_equal(position(sk1,sk3),position(sk1,sk2))
| ~ spl0_3 ),
inference(resolution,[],[f294,f5]) ).
fof(f321,plain,
( $false
| ~ spl0_3
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f318,f283]) ).
fof(f322,plain,
( ~ spl0_3
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f321]) ).
fof(f323,plain,
( has_immunity(sk1,sk3)
| ~ greater_or_equal(capability(sk1,sk3),capability(sk1,sk2))
| ~ organization(sk1)
| smaller(hazard_of_mortality(sk1,sk3),hazard_of_mortality(sk1,sk2))
| ~ spl0_3 ),
inference(forward_subsumption_resolution,[],[f315,f23]) ).
fof(f324,plain,
( ~ greater_or_equal(capability(sk1,sk3),capability(sk1,sk2))
| ~ organization(sk1)
| smaller(hazard_of_mortality(sk1,sk3),hazard_of_mortality(sk1,sk2))
| ~ spl0_3 ),
inference(forward_subsumption_resolution,[],[f323,f24]) ).
fof(f325,plain,
( ~ greater_or_equal(capability(sk1,sk3),capability(sk1,sk2))
| smaller(hazard_of_mortality(sk1,sk3),hazard_of_mortality(sk1,sk2))
| ~ spl0_3 ),
inference(forward_subsumption_resolution,[],[f324,f22]) ).
fof(f326,plain,
( ~ greater_or_equal(capability(sk1,sk3),capability(sk1,sk2))
| ~ spl0_3 ),
inference(forward_subsumption_resolution,[],[f325,f43]) ).
fof(f334,plain,
( has_immunity(sk1,sk3)
| ~ organization(sk1)
| has_immunity(sk1,sk2)
| smaller(hazard_of_mortality(sk1,sk3),hazard_of_mortality(sk1,sk2))
| capability(sk1,sk3) = capability(sk1,sk2)
| smaller(capability(sk1,sk3),capability(sk1,sk2))
| ~ spl0_3 ),
inference(resolution,[],[f320,f154]) ).
fof(f336,plain,
( ~ organization(sk1)
| has_immunity(sk1,sk2)
| smaller(hazard_of_mortality(sk1,sk3),hazard_of_mortality(sk1,sk2))
| capability(sk1,sk3) = capability(sk1,sk2)
| smaller(capability(sk1,sk3),capability(sk1,sk2))
| ~ spl0_3 ),
inference(forward_subsumption_resolution,[],[f334,f24]) ).
fof(f337,plain,
( has_immunity(sk1,sk2)
| smaller(hazard_of_mortality(sk1,sk3),hazard_of_mortality(sk1,sk2))
| capability(sk1,sk3) = capability(sk1,sk2)
| smaller(capability(sk1,sk3),capability(sk1,sk2))
| ~ spl0_3 ),
inference(forward_subsumption_resolution,[],[f336,f22]) ).
fof(f338,plain,
( smaller(hazard_of_mortality(sk1,sk3),hazard_of_mortality(sk1,sk2))
| capability(sk1,sk3) = capability(sk1,sk2)
| smaller(capability(sk1,sk3),capability(sk1,sk2))
| ~ spl0_3 ),
inference(forward_subsumption_resolution,[],[f337,f23]) ).
fof(f339,plain,
( capability(sk1,sk3) = capability(sk1,sk2)
| smaller(capability(sk1,sk3),capability(sk1,sk2))
| ~ spl0_3 ),
inference(forward_subsumption_resolution,[],[f338,f43]) ).
fof(f341,definition,
( spl0_15
<=> smaller(capability(sk1,sk3),capability(sk1,sk2)) ),
introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).
fof(f343,plain,
( smaller(capability(sk1,sk3),capability(sk1,sk2))
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f341]) ).
fof(f345,definition,
( spl0_16
<=> capability(sk1,sk3) = capability(sk1,sk2) ),
introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).
fof(f346,plain,
( capability(sk1,sk3) != capability(sk1,sk2)
| spl0_16 ),
inference(avatar_component_clause,[],[f345]) ).
fof(f347,plain,
( capability(sk1,sk3) = capability(sk1,sk2)
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f345]) ).
fof(f348,plain,
( spl0_15
| spl0_16
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f339,f56,f345,f341]) ).
fof(f378,plain,
( ~ greater_or_equal(capability(sk1,sk2),capability(sk1,sk2))
| ~ spl0_3
| ~ spl0_16 ),
inference(superposition,[],[f326,f347]) ).
fof(f387,plain,
( $false
| ~ spl0_3
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[],[f378,f41]) ).
fof(f388,plain,
( ~ spl0_3
| ~ spl0_16 ),
inference(avatar_contradiction_clause,[],[f387]) ).
fof(f421,plain,
( greater(capability(sk1,sk2),capability(sk1,sk3))
| ~ spl0_15 ),
inference(resolution,[],[f343,f7]) ).
fof(f458,plain,
( stock_of_knowledge(sk1,sk3) != stock_of_knowledge(sk1,sk2)
| capability(sk1,sk3) = capability(sk1,sk2)
| ~ spl0_6 ),
inference(equality_resolution,[],[f149]) ).
fof(f459,plain,
( capability(sk1,sk3) = capability(sk1,sk2)
| ~ spl0_4
| spl0_5
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[],[f458,f195]) ).
fof(f460,plain,
( $false
| ~ spl0_4
| spl0_5
| ~ spl0_6
| spl0_16 ),
inference(forward_subsumption_resolution,[],[f459,f346]) ).
fof(f461,plain,
( ~ spl0_4
| spl0_5
| ~ spl0_6
| spl0_16 ),
inference(avatar_contradiction_clause,[],[f460]) ).
fof(f462,plain,
( greater(internal_friction(sk1,sk2),internal_friction(sk1,sk3))
| ~ spl0_7 ),
inference(resolution,[],[f90,f7]) ).
fof(f464,plain,
( ~ smaller_or_equal(stock_of_knowledge(sk1,sk2),stock_of_knowledge(sk1,sk3))
| ~ organization(sk1)
| smaller(capability(sk1,sk2),capability(sk1,sk3))
| ~ spl0_7 ),
inference(resolution,[],[f462,f16]) ).
fof(f470,plain,
( ~ smaller_or_equal(stock_of_knowledge(sk1,sk2),stock_of_knowledge(sk1,sk3))
| smaller(capability(sk1,sk2),capability(sk1,sk3))
| ~ spl0_7 ),
inference(forward_subsumption_resolution,[],[f464,f22]) ).
fof(f471,plain,
( ~ smaller_or_equal(stock_of_knowledge(sk1,sk2),stock_of_knowledge(sk1,sk2))
| smaller(capability(sk1,sk2),capability(sk1,sk3))
| ~ spl0_4
| spl0_5
| ~ spl0_7 ),
inference(forward_demodulation,[],[f470,f195]) ).
fof(f472,plain,
( smaller(capability(sk1,sk2),capability(sk1,sk3))
| ~ spl0_4
| spl0_5
| ~ spl0_7 ),
inference(forward_subsumption_resolution,[],[f471,f42]) ).
fof(f526,plain,
( greater(capability(sk1,sk3),capability(sk1,sk2))
| ~ spl0_4
| spl0_5
| ~ spl0_7 ),
inference(resolution,[],[f472,f7]) ).
fof(f538,plain,
( ~ greater(capability(sk1,sk3),capability(sk1,sk2))
| ~ spl0_15 ),
inference(resolution,[],[f421,f9]) ).
fof(f541,plain,
( $false
| ~ spl0_4
| spl0_5
| ~ spl0_7
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[],[f538,f526]) ).
fof(f542,plain,
( ~ spl0_4
| spl0_5
| ~ spl0_7
| ~ spl0_15 ),
inference(avatar_contradiction_clause,[],[f541]) ).
cnf(s3,plain,
spl0_1,
inference(sat_conversion,[],[f60]) ).
cnf(s6,plain,
( spl0_3
| spl0_5 ),
inference(sat_conversion,[],[f71]) ).
cnf(s8,plain,
spl0_2,
inference(sat_conversion,[],[f74]) ).
cnf(s9,plain,
spl0_4,
inference(sat_conversion,[],[f75]) ).
cnf(s10,plain,
( ~ spl0_1
| spl0_6
| spl0_7 ),
inference(sat_conversion,[],[f91]) ).
cnf(s11,plain,
( ~ spl0_2
| spl0_3
| spl0_8 ),
inference(sat_conversion,[],[f100]) ).
cnf(s15,plain,
( ~ spl0_1
| ~ spl0_5
| spl0_13
| spl0_14 ),
inference(sat_conversion,[],[f193]) ).
cnf(s17,plain,
( ~ spl0_1
| ~ spl0_5
| ~ spl0_13 ),
inference(sat_conversion,[],[f263]) ).
cnf(s18,plain,
( ~ spl0_8
| spl0_13 ),
inference(sat_conversion,[],[f287]) ).
cnf(s19,plain,
( ~ spl0_3
| ~ spl0_14 ),
inference(sat_conversion,[],[f322]) ).
cnf(s20,plain,
( ~ spl0_3
| spl0_15
| spl0_16 ),
inference(sat_conversion,[],[f348]) ).
cnf(s22,plain,
( ~ spl0_3
| ~ spl0_16 ),
inference(sat_conversion,[],[f388]) ).
cnf(s27,plain,
( ~ spl0_4
| spl0_5
| ~ spl0_6
| spl0_16 ),
inference(sat_conversion,[],[f461]) ).
cnf(s28,plain,
( ~ spl0_4
| spl0_5
| ~ spl0_7
| ~ spl0_15 ),
inference(sat_conversion,[],[f542]) ).
cnf(s29,plain,
spl0_3,
inference(rat,[],[s17,s18,s6,s11,s3,s8]) ).
cnf(s30,plain,
~ spl0_16,
inference(rat,[],[s22,s29]) ).
cnf(s31,plain,
spl0_15,
inference(rat,[],[s20,s30,s29]) ).
cnf(s32,plain,
~ spl0_14,
inference(rat,[],[s19,s29]) ).
cnf(s33,plain,
spl0_5,
inference(rat,[],[s10,s27,s28,s3,s9,s30,s31]) ).
cnf(s34,plain,
~ spl0_13,
inference(rat,[],[s17,s3,s33]) ).
cnf(s35,plain,
$false,
inference(rat,[],[s15,s32,s3,s33,s34]) ).
fof(f548,plain,
$false,
inference(avatar_sat_refutation,[],[s35]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT042-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.37 % Computer : n013.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Sun Sep 27 17:25:36 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.40 Running first-order theorem proving
% 0.09/0.40 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.64/1.06 % (438431)Input is clausal, will run a generic CNF schedule.
% 1.64/1.06 % (438436)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=1398191494:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 1.64/1.06 % (438439)lrs+10_1_sil=8000:sp=occurrence:random_seed=911914452:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 1.64/1.06 % (438437)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2271032975:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 1.64/1.06 % (438438)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=4230942263:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 1.64/1.06 % (438441)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=373410301:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 1.64/1.06 % (438440)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=383388715:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 1.64/1.06 % (438442)dis-21_1_sil=8000:lcm=predicate:random_seed=536515611: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)
% 1.64/1.06 % (438439)First to succeed.
% 1.64/1.06 % (438439)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-438431"
% 1.64/1.06 % (438442)Instruction limit reached!
% 1.64/1.06 % (438442)------------------------------
% 1.64/1.06 % (438442)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.64/1.06 % (438442)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.64/1.06 % (438442)CaDiCaL version: 2.1.3
% 1.64/1.06 % (438442)Termination reason: Instruction limit
% 1.64/1.06 % (438442)Termination phase: Saturation
% 1.64/1.06 % (438442)Time elapsed: 0.059 s
% 1.64/1.06 % (438442)Peak memory usage: 88 MB
% 1.64/1.06 % (438442)Instructions burned: 118 (million)
% 1.64/1.06 % (438440)Instruction limit reached!
% 1.64/1.06 % (438440)------------------------------
% 1.64/1.06 % (438440)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.64/1.06 % (438440)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.64/1.06 % (438440)CaDiCaL version: 2.1.3
% 1.64/1.06 % (438440)Termination reason: Instruction limit
% 1.64/1.06 % (438440)Termination phase: Saturation
% 1.64/1.06 % (438440)Time elapsed: 0.063 s
% 1.64/1.06 % (438440)Peak memory usage: 88 MB
% 1.64/1.06 % (438440)Instructions burned: 114 (million)
% 1.64/1.06 % (438441)Instruction limit reached!
% 1.64/1.06 % (438441)------------------------------
% 1.64/1.06 % (438441)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.64/1.06 % (438441)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.64/1.06 % (438441)CaDiCaL version: 2.1.3
% 1.64/1.06 % (438441)Termination reason: Instruction limit
% 1.64/1.06 % (438441)Termination phase: Saturation
% 1.64/1.06 % (438441)Time elapsed: 0.117 s
% 1.64/1.06 % (438441)Peak memory usage: 89 MB
% 1.64/1.06 % (438441)Instructions burned: 181 (million)
% 1.64/1.06 % (438451)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=2972947435: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)
% 1.64/1.06 % (438451)Refutation not found, incomplete strategy
% 1.64/1.06 % (438451)------------------------------
% 1.64/1.06 % (438451)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.64/1.06 % (438451)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.64/1.06 % (438451)CaDiCaL version: 2.1.3
% 1.64/1.06 % (438451)Termination reason: Refutation not found, incomplete strategy
% 1.64/1.06 % (438451)Time elapsed: 0.003 s
% 1.64/1.06 % (438451)Peak memory usage: 88 MB
% 1.64/1.06 % (438451)Instructions burned: 8 (million)
% 1.64/1.06 % (438450)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=177760139:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 1.64/1.06 % (438450)Also succeeded, but the first one will report.
% 1.64/1.06 % (438439)Refutation found. Thanks to Tanya!
% 1.64/1.06 % SZS status Unsatisfiable for theBenchmark
% 1.64/1.06 % SZS output start Proof for theBenchmark
% See solution above
% 3.52/1.25 % (438439)------------------------------
% 3.52/1.25 % (438439)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.52/1.25 % (438439)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.52/1.25 % (438439)CaDiCaL version: 2.1.3
% 3.52/1.25 % (438439)Termination reason: Refutation
% 3.52/1.25 % (438439)Time elapsed: 0.018 s
% 3.52/1.25 % (438439)Peak memory usage: 89 MB
% 3.52/1.25 % (438439)Instructions burned: 26 (million)
% 3.52/1.25 % (438439)------------------------------
% 3.52/1.25 % (438439)------------------------------
% 3.52/1.25 % (438431)Success in time 0.453 s
% 3.52/1.25 % Vampire exiting
%------------------------------------------------------------------------------