%------------------------------------------------------------------------------
% 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/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 12:02:11 PM UTC 2026
% Result : Theorem 2.28s 1.28s
% Output : Refutation 3.34s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 24
% Syntax : Number of formulae : 198 ( 18 unt; 15 def)
% Number of atoms : 685 ( 78 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 803 ( 316 ~; 368 |; 85 &)
% ( 17 <=>; 17 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 23 ( 21 usr; 15 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 3 con; 0-2 aty)
% Number of variables : 131 ( 0 sgn 122 !; 9 ?)
% 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) ).
fof(f2,axiom,
! [X0,X1] :
( greater_or_equal(X0,X1)
<=> ( greater(X0,X1)
| X0 = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_greater_or_equal) ).
fof(f3,axiom,
! [X0,X1] :
( smaller(X0,X1)
<=> greater(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_smaller) ).
fof(f4,axiom,
! [X0,X1] :
~ ( greater(X0,X1)
& greater(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',meaning_postulate_greater_strict) ).
fof(f6,axiom,
! [X0,X1] :
( smaller(X0,X1)
| X0 = X1
| greater(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',meaning_postulate_greater_comparable) ).
fof(f7,axiom,
! [X0,X1,X2] :
( ( organization(X0)
& ~ has_immunity(X0,X1)
& ~ has_immunity(X0,X2) )
=> ( ( ( greater(capability(X0,X2),capability(X0,X1))
& greater_or_equal(position(X0,X2),position(X0,X1)) )
=> smaller(hazard_of_mortality(X0,X2),hazard_of_mortality(X0,X1)) )
& ( ( greater_or_equal(capability(X0,X2),capability(X0,X1))
& greater(position(X0,X2),position(X0,X1)) )
=> smaller(hazard_of_mortality(X0,X2),hazard_of_mortality(X0,X1)) )
& ( ( capability(X0,X2) = capability(X0,X1)
& position(X0,X2) = position(X0,X1) )
=> hazard_of_mortality(X0,X2) = hazard_of_mortality(X0,X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_4) ).
fof(f8,axiom,
! [X0,X1,X2] :
( organization(X0)
=> ( ( ( greater(stock_of_knowledge(X0,X2),stock_of_knowledge(X0,X1))
& smaller_or_equal(internal_friction(X0,X2),internal_friction(X0,X1)) )
=> greater(capability(X0,X2),capability(X0,X1)) )
& ( ( smaller_or_equal(stock_of_knowledge(X0,X2),stock_of_knowledge(X0,X1))
& greater(internal_friction(X0,X2),internal_friction(X0,X1)) )
=> smaller(capability(X0,X2),capability(X0,X1)) )
& ( ( stock_of_knowledge(X0,X2) = stock_of_knowledge(X0,X1)
& internal_friction(X0,X2) = internal_friction(X0,X1) )
=> capability(X0,X2) = capability(X0,X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_5) ).
fof(f9,axiom,
! [X0,X1,X2] :
( organization(X0)
=> ( ( greater(external_ties(X0,X2),external_ties(X0,X1))
=> greater(position(X0,X2),position(X0,X1)) )
& ( external_ties(X0,X2) = external_ties(X0,X1)
=> position(X0,X2) = position(X0,X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_6) ).
fof(f10,conjecture,
! [X0,X1,X2] :
( ( organization(X0)
& ~ has_immunity(X0,X1)
& ~ has_immunity(X0,X2) )
=> ( ( ( greater(stock_of_knowledge(X0,X2),stock_of_knowledge(X0,X1))
& smaller_or_equal(internal_friction(X0,X2),internal_friction(X0,X1))
& greater_or_equal(external_ties(X0,X2),external_ties(X0,X1)) )
=> smaller(hazard_of_mortality(X0,X2),hazard_of_mortality(X0,X1)) )
& ( ( greater_or_equal(stock_of_knowledge(X0,X2),stock_of_knowledge(X0,X1))
& smaller_or_equal(internal_friction(X0,X2),internal_friction(X0,X1))
& greater(external_ties(X0,X2),external_ties(X0,X1)) )
=> smaller(hazard_of_mortality(X0,X2),hazard_of_mortality(X0,X1)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lemma_1) ).
fof(f11,negated_conjecture,
~ ! [X0,X1,X2] :
( ( organization(X0)
& ~ has_immunity(X0,X1)
& ~ has_immunity(X0,X2) )
=> ( ( ( greater(stock_of_knowledge(X0,X2),stock_of_knowledge(X0,X1))
& smaller_or_equal(internal_friction(X0,X2),internal_friction(X0,X1))
& greater_or_equal(external_ties(X0,X2),external_ties(X0,X1)) )
=> smaller(hazard_of_mortality(X0,X2),hazard_of_mortality(X0,X1)) )
& ( ( greater_or_equal(stock_of_knowledge(X0,X2),stock_of_knowledge(X0,X1))
& smaller_or_equal(internal_friction(X0,X2),internal_friction(X0,X1))
& greater(external_ties(X0,X2),external_ties(X0,X1)) )
=> smaller(hazard_of_mortality(X0,X2),hazard_of_mortality(X0,X1)) ) ) ),
inference(negated_conjecture,[status(cth)],[f10]) ).
fof(f12,plain,
? [X0,X1,X2] :
( ( ( ~ smaller(hazard_of_mortality(X0,X2),hazard_of_mortality(X0,X1))
& greater(stock_of_knowledge(X0,X2),stock_of_knowledge(X0,X1))
& smaller_or_equal(internal_friction(X0,X2),internal_friction(X0,X1))
& greater_or_equal(external_ties(X0,X2),external_ties(X0,X1)) )
| ( ~ smaller(hazard_of_mortality(X0,X2),hazard_of_mortality(X0,X1))
& greater_or_equal(stock_of_knowledge(X0,X2),stock_of_knowledge(X0,X1))
& smaller_or_equal(internal_friction(X0,X2),internal_friction(X0,X1))
& greater(external_ties(X0,X2),external_ties(X0,X1)) ) )
& organization(X0)
& ~ has_immunity(X0,X1)
& ~ has_immunity(X0,X2) ),
inference(ennf_transformation,[],[f11]) ).
fof(f13,plain,
? [X0,X1,X2] :
( ( ( ~ smaller(hazard_of_mortality(X0,X2),hazard_of_mortality(X0,X1))
& greater(stock_of_knowledge(X0,X2),stock_of_knowledge(X0,X1))
& smaller_or_equal(internal_friction(X0,X2),internal_friction(X0,X1))
& greater_or_equal(external_ties(X0,X2),external_ties(X0,X1)) )
| ( ~ smaller(hazard_of_mortality(X0,X2),hazard_of_mortality(X0,X1))
& greater_or_equal(stock_of_knowledge(X0,X2),stock_of_knowledge(X0,X1))
& smaller_or_equal(internal_friction(X0,X2),internal_friction(X0,X1))
& greater(external_ties(X0,X2),external_ties(X0,X1)) ) )
& organization(X0)
& ~ has_immunity(X0,X1)
& ~ has_immunity(X0,X2) ),
inference(flattening,[],[f12]) ).
fof(f14,plain,
! [X0,X1,X2] :
( ( ( greater(capability(X0,X2),capability(X0,X1))
| ~ greater(stock_of_knowledge(X0,X2),stock_of_knowledge(X0,X1))
| ~ smaller_or_equal(internal_friction(X0,X2),internal_friction(X0,X1)) )
& ( smaller(capability(X0,X2),capability(X0,X1))
| ~ smaller_or_equal(stock_of_knowledge(X0,X2),stock_of_knowledge(X0,X1))
| ~ greater(internal_friction(X0,X2),internal_friction(X0,X1)) )
& ( capability(X0,X2) = capability(X0,X1)
| stock_of_knowledge(X0,X2) != stock_of_knowledge(X0,X1)
| internal_friction(X0,X2) != internal_friction(X0,X1) ) )
| ~ organization(X0) ),
inference(ennf_transformation,[],[f8]) ).
fof(f15,plain,
! [X0,X1,X2] :
( ( ( greater(capability(X0,X2),capability(X0,X1))
| ~ greater(stock_of_knowledge(X0,X2),stock_of_knowledge(X0,X1))
| ~ smaller_or_equal(internal_friction(X0,X2),internal_friction(X0,X1)) )
& ( smaller(capability(X0,X2),capability(X0,X1))
| ~ smaller_or_equal(stock_of_knowledge(X0,X2),stock_of_knowledge(X0,X1))
| ~ greater(internal_friction(X0,X2),internal_friction(X0,X1)) )
& ( capability(X0,X2) = capability(X0,X1)
| stock_of_knowledge(X0,X2) != stock_of_knowledge(X0,X1)
| internal_friction(X0,X2) != internal_friction(X0,X1) ) )
| ~ organization(X0) ),
inference(flattening,[],[f14]) ).
fof(f16,plain,
! [X0,X1,X2] :
( ( ( smaller(hazard_of_mortality(X0,X2),hazard_of_mortality(X0,X1))
| ~ greater(capability(X0,X2),capability(X0,X1))
| ~ greater_or_equal(position(X0,X2),position(X0,X1)) )
& ( smaller(hazard_of_mortality(X0,X2),hazard_of_mortality(X0,X1))
| ~ greater_or_equal(capability(X0,X2),capability(X0,X1))
| ~ greater(position(X0,X2),position(X0,X1)) )
& ( hazard_of_mortality(X0,X2) = hazard_of_mortality(X0,X1)
| capability(X0,X2) != capability(X0,X1)
| position(X0,X2) != position(X0,X1) ) )
| ~ organization(X0)
| has_immunity(X0,X1)
| has_immunity(X0,X2) ),
inference(ennf_transformation,[],[f7]) ).
fof(f17,plain,
! [X0,X1,X2] :
( ( ( smaller(hazard_of_mortality(X0,X2),hazard_of_mortality(X0,X1))
| ~ greater(capability(X0,X2),capability(X0,X1))
| ~ greater_or_equal(position(X0,X2),position(X0,X1)) )
& ( smaller(hazard_of_mortality(X0,X2),hazard_of_mortality(X0,X1))
| ~ greater_or_equal(capability(X0,X2),capability(X0,X1))
| ~ greater(position(X0,X2),position(X0,X1)) )
& ( hazard_of_mortality(X0,X2) = hazard_of_mortality(X0,X1)
| capability(X0,X2) != capability(X0,X1)
| position(X0,X2) != position(X0,X1) ) )
| ~ organization(X0)
| has_immunity(X0,X1)
| has_immunity(X0,X2) ),
inference(flattening,[],[f16]) ).
fof(f20,plain,
! [X0,X1] :
( ~ greater(X0,X1)
| ~ greater(X1,X0) ),
inference(ennf_transformation,[],[f4]) ).
fof(f21,plain,
! [X0,X1,X2] :
( ( ( greater(position(X0,X2),position(X0,X1))
| ~ greater(external_ties(X0,X2),external_ties(X0,X1)) )
& ( position(X0,X2) = position(X0,X1)
| external_ties(X0,X2) != external_ties(X0,X1) ) )
| ~ organization(X0) ),
inference(ennf_transformation,[],[f9]) ).
fof(f22,definition,
! [X1,X0,X2] :
( ( ~ smaller(hazard_of_mortality(X0,X2),hazard_of_mortality(X0,X1))
& greater_or_equal(stock_of_knowledge(X0,X2),stock_of_knowledge(X0,X1))
& smaller_or_equal(internal_friction(X0,X2),internal_friction(X0,X1))
& greater(external_ties(X0,X2),external_ties(X0,X1)) )
| ~ sP0(X1,X0,X2) ),
introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).
fof(f23,plain,
? [X0,X1,X2] :
( ( ( ~ smaller(hazard_of_mortality(X0,X2),hazard_of_mortality(X0,X1))
& greater(stock_of_knowledge(X0,X2),stock_of_knowledge(X0,X1))
& smaller_or_equal(internal_friction(X0,X2),internal_friction(X0,X1))
& greater_or_equal(external_ties(X0,X2),external_ties(X0,X1)) )
| sP0(X1,X0,X2) )
& organization(X0)
& ~ has_immunity(X0,X1)
& ~ has_immunity(X0,X2) ),
inference(definition_folding,[],[f13,f22]) ).
fof(f24,plain,
! [X1,X0,X2] :
( ( ~ smaller(hazard_of_mortality(X0,X2),hazard_of_mortality(X0,X1))
& greater_or_equal(stock_of_knowledge(X0,X2),stock_of_knowledge(X0,X1))
& smaller_or_equal(internal_friction(X0,X2),internal_friction(X0,X1))
& greater(external_ties(X0,X2),external_ties(X0,X1)) )
| ~ sP0(X1,X0,X2) ),
inference(nnf_transformation,[],[f22]) ).
fof(f25,plain,
! [X0,X1,X2] :
( ( ~ smaller(hazard_of_mortality(X1,X2),hazard_of_mortality(X1,X0))
& greater_or_equal(stock_of_knowledge(X1,X2),stock_of_knowledge(X1,X0))
& smaller_or_equal(internal_friction(X1,X2),internal_friction(X1,X0))
& greater(external_ties(X1,X2),external_ties(X1,X0)) )
| ~ sP0(X0,X1,X2) ),
inference(rectify,[],[f24]) ).
fof(f26,plain,
( ( ( ~ smaller(hazard_of_mortality(sK1,sK3),hazard_of_mortality(sK1,sK2))
& greater(stock_of_knowledge(sK1,sK3),stock_of_knowledge(sK1,sK2))
& smaller_or_equal(internal_friction(sK1,sK3),internal_friction(sK1,sK2))
& greater_or_equal(external_ties(sK1,sK3),external_ties(sK1,sK2)) )
| sP0(sK2,sK1,sK3) )
& organization(sK1)
& ~ has_immunity(sK1,sK2)
& ~ has_immunity(sK1,sK3) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1,sK2,sK3]),skolemize(X0,sK1),skolemize(X1,sK2),skolemize(X2,sK3)],[f23]) ).
fof(f27,plain,
! [X0,X1] :
( ( smaller_or_equal(X0,X1)
| ( ~ smaller(X0,X1)
& X0 != X1 ) )
& ( smaller(X0,X1)
| X0 = X1
| ~ smaller_or_equal(X0,X1) ) ),
inference(nnf_transformation,[],[f1]) ).
fof(f28,plain,
! [X0,X1] :
( ( smaller_or_equal(X0,X1)
| ( ~ smaller(X0,X1)
& X0 != X1 ) )
& ( smaller(X0,X1)
| X0 = X1
| ~ smaller_or_equal(X0,X1) ) ),
inference(flattening,[],[f27]) ).
fof(f29,plain,
! [X0,X1] :
( ( smaller(X0,X1)
| ~ greater(X1,X0) )
& ( greater(X1,X0)
| ~ smaller(X0,X1) ) ),
inference(nnf_transformation,[],[f3]) ).
fof(f30,plain,
! [X0,X1] :
( ( greater_or_equal(X0,X1)
| ( ~ greater(X0,X1)
& X0 != X1 ) )
& ( greater(X0,X1)
| X0 = X1
| ~ greater_or_equal(X0,X1) ) ),
inference(nnf_transformation,[],[f2]) ).
fof(f31,plain,
! [X0,X1] :
( ( greater_or_equal(X0,X1)
| ( ~ greater(X0,X1)
& X0 != X1 ) )
& ( greater(X0,X1)
| X0 = X1
| ~ greater_or_equal(X0,X1) ) ),
inference(flattening,[],[f30]) ).
fof(f32,plain,
! [X2,X0,X1] :
( greater(external_ties(X1,X2),external_ties(X1,X0))
| ~ sP0(X0,X1,X2) ),
inference(cnf_transformation,[],[f25]) ).
fof(f33,plain,
! [X2,X0,X1] :
( smaller_or_equal(internal_friction(X1,X2),internal_friction(X1,X0))
| ~ sP0(X0,X1,X2) ),
inference(cnf_transformation,[],[f25]) ).
fof(f34,plain,
! [X2,X0,X1] :
( greater_or_equal(stock_of_knowledge(X1,X2),stock_of_knowledge(X1,X0))
| ~ sP0(X0,X1,X2) ),
inference(cnf_transformation,[],[f25]) ).
fof(f35,plain,
! [X2,X0,X1] :
( ~ smaller(hazard_of_mortality(X1,X2),hazard_of_mortality(X1,X0))
| ~ sP0(X0,X1,X2) ),
inference(cnf_transformation,[],[f25]) ).
fof(f36,plain,
~ has_immunity(sK1,sK3),
inference(cnf_transformation,[],[f26]) ).
fof(f37,plain,
~ has_immunity(sK1,sK2),
inference(cnf_transformation,[],[f26]) ).
fof(f38,plain,
organization(sK1),
inference(cnf_transformation,[],[f26]) ).
fof(f39,plain,
( greater_or_equal(external_ties(sK1,sK3),external_ties(sK1,sK2))
| sP0(sK2,sK1,sK3) ),
inference(cnf_transformation,[],[f26]) ).
fof(f40,plain,
( smaller_or_equal(internal_friction(sK1,sK3),internal_friction(sK1,sK2))
| sP0(sK2,sK1,sK3) ),
inference(cnf_transformation,[],[f26]) ).
fof(f41,plain,
( greater(stock_of_knowledge(sK1,sK3),stock_of_knowledge(sK1,sK2))
| sP0(sK2,sK1,sK3) ),
inference(cnf_transformation,[],[f26]) ).
fof(f42,plain,
( ~ smaller(hazard_of_mortality(sK1,sK3),hazard_of_mortality(sK1,sK2))
| sP0(sK2,sK1,sK3) ),
inference(cnf_transformation,[],[f26]) ).
fof(f43,plain,
! [X2,X0,X1] :
( internal_friction(X0,X2) != internal_friction(X0,X1)
| stock_of_knowledge(X0,X2) != stock_of_knowledge(X0,X1)
| capability(X0,X2) = capability(X0,X1)
| ~ organization(X0) ),
inference(cnf_transformation,[],[f15]) ).
fof(f44,plain,
! [X2,X0,X1] :
( ~ greater(internal_friction(X0,X2),internal_friction(X0,X1))
| ~ smaller_or_equal(stock_of_knowledge(X0,X2),stock_of_knowledge(X0,X1))
| smaller(capability(X0,X2),capability(X0,X1))
| ~ organization(X0) ),
inference(cnf_transformation,[],[f15]) ).
fof(f45,plain,
! [X2,X0,X1] :
( ~ greater(stock_of_knowledge(X0,X2),stock_of_knowledge(X0,X1))
| greater(capability(X0,X2),capability(X0,X1))
| ~ smaller_or_equal(internal_friction(X0,X2),internal_friction(X0,X1))
| ~ organization(X0) ),
inference(cnf_transformation,[],[f15]) ).
fof(f46,plain,
! [X0,X1] :
( ~ smaller_or_equal(X0,X1)
| X0 = X1
| smaller(X0,X1) ),
inference(cnf_transformation,[],[f28]) ).
fof(f47,plain,
! [X0,X1] :
( smaller_or_equal(X0,X1)
| X0 != X1 ),
inference(cnf_transformation,[],[f28]) ).
fof(f50,plain,
! [X2,X0,X1] :
( ~ greater(position(X0,X2),position(X0,X1))
| ~ greater_or_equal(capability(X0,X2),capability(X0,X1))
| smaller(hazard_of_mortality(X0,X2),hazard_of_mortality(X0,X1))
| ~ organization(X0)
| has_immunity(X0,X1)
| has_immunity(X0,X2) ),
inference(cnf_transformation,[],[f17]) ).
fof(f51,plain,
! [X2,X0,X1] :
( ~ greater(capability(X0,X2),capability(X0,X1))
| smaller(hazard_of_mortality(X0,X2),hazard_of_mortality(X0,X1))
| ~ greater_or_equal(position(X0,X2),position(X0,X1))
| ~ organization(X0)
| has_immunity(X0,X1)
| has_immunity(X0,X2) ),
inference(cnf_transformation,[],[f17]) ).
fof(f52,plain,
! [X0,X1] :
( greater(X0,X1)
| X0 = X1
| smaller(X0,X1) ),
inference(cnf_transformation,[],[f6]) ).
fof(f53,plain,
! [X0,X1] :
( ~ smaller(X0,X1)
| greater(X1,X0) ),
inference(cnf_transformation,[],[f29]) ).
fof(f55,plain,
! [X0,X1] :
( ~ greater_or_equal(X0,X1)
| X0 = X1
| greater(X0,X1) ),
inference(cnf_transformation,[],[f31]) ).
fof(f56,plain,
! [X0,X1] :
( greater_or_equal(X0,X1)
| X0 != X1 ),
inference(cnf_transformation,[],[f31]) ).
fof(f57,plain,
! [X0,X1] :
( ~ greater(X0,X1)
| greater_or_equal(X0,X1) ),
inference(cnf_transformation,[],[f31]) ).
fof(f59,plain,
! [X0,X1] :
( ~ greater(X1,X0)
| ~ greater(X0,X1) ),
inference(cnf_transformation,[],[f20]) ).
fof(f60,plain,
! [X2,X0,X1] :
( external_ties(X0,X2) != external_ties(X0,X1)
| position(X0,X2) = position(X0,X1)
| ~ organization(X0) ),
inference(cnf_transformation,[],[f21]) ).
fof(f61,plain,
! [X2,X0,X1] :
( ~ greater(external_ties(X0,X2),external_ties(X0,X1))
| greater(position(X0,X2),position(X0,X1))
| ~ organization(X0) ),
inference(cnf_transformation,[],[f21]) ).
fof(f62,plain,
! [X1] : smaller_or_equal(X1,X1),
inference(equality_resolution,[],[f47]) ).
fof(f63,plain,
! [X1] : greater_or_equal(X1,X1),
inference(equality_resolution,[],[f56]) ).
fof(f65,definition,
( spl4_1
<=> sP0(sK2,sK1,sK3) ),
introduced(definition,[new_symbols(definition,[spl4_1])],[avatar_definition]) ).
fof(f67,plain,
( sP0(sK2,sK1,sK3)
| ~ spl4_1 ),
inference(avatar_component_clause,[],[f65]) ).
fof(f69,definition,
( spl4_2
<=> greater_or_equal(external_ties(sK1,sK3),external_ties(sK1,sK2)) ),
introduced(definition,[new_symbols(definition,[spl4_2])],[avatar_definition]) ).
fof(f71,plain,
( greater_or_equal(external_ties(sK1,sK3),external_ties(sK1,sK2))
| ~ spl4_2 ),
inference(avatar_component_clause,[],[f69]) ).
fof(f72,plain,
( spl4_1
| spl4_2 ),
inference(avatar_split_clause,[],[f39,f69,f65]) ).
fof(f74,definition,
( spl4_3
<=> smaller_or_equal(internal_friction(sK1,sK3),internal_friction(sK1,sK2)) ),
introduced(definition,[new_symbols(definition,[spl4_3])],[avatar_definition]) ).
fof(f75,plain,
( ~ smaller_or_equal(internal_friction(sK1,sK3),internal_friction(sK1,sK2))
| spl4_3 ),
inference(avatar_component_clause,[],[f74]) ).
fof(f76,plain,
( smaller_or_equal(internal_friction(sK1,sK3),internal_friction(sK1,sK2))
| ~ spl4_3 ),
inference(avatar_component_clause,[],[f74]) ).
fof(f77,plain,
( spl4_1
| spl4_3 ),
inference(avatar_split_clause,[],[f40,f74,f65]) ).
fof(f79,definition,
( spl4_4
<=> greater(stock_of_knowledge(sK1,sK3),stock_of_knowledge(sK1,sK2)) ),
introduced(definition,[new_symbols(definition,[spl4_4])],[avatar_definition]) ).
fof(f80,plain,
( ~ greater(stock_of_knowledge(sK1,sK3),stock_of_knowledge(sK1,sK2))
| spl4_4 ),
inference(avatar_component_clause,[],[f79]) ).
fof(f81,plain,
( greater(stock_of_knowledge(sK1,sK3),stock_of_knowledge(sK1,sK2))
| ~ spl4_4 ),
inference(avatar_component_clause,[],[f79]) ).
fof(f82,plain,
( spl4_1
| spl4_4 ),
inference(avatar_split_clause,[],[f41,f79,f65]) ).
fof(f84,definition,
( spl4_5
<=> smaller(hazard_of_mortality(sK1,sK3),hazard_of_mortality(sK1,sK2)) ),
introduced(definition,[new_symbols(definition,[spl4_5])],[avatar_definition]) ).
fof(f85,plain,
( smaller(hazard_of_mortality(sK1,sK3),hazard_of_mortality(sK1,sK2))
| ~ spl4_5 ),
inference(avatar_component_clause,[],[f84]) ).
fof(f86,plain,
( ~ smaller(hazard_of_mortality(sK1,sK3),hazard_of_mortality(sK1,sK2))
| spl4_5 ),
inference(avatar_component_clause,[],[f84]) ).
fof(f87,plain,
( spl4_1
| ~ spl4_5 ),
inference(avatar_split_clause,[],[f42,f84,f65]) ).
fof(f93,plain,
( internal_friction(sK1,sK3) = internal_friction(sK1,sK2)
| smaller(internal_friction(sK1,sK3),internal_friction(sK1,sK2))
| ~ spl4_3 ),
inference(resolution,[],[f46,f76]) ).
fof(f96,definition,
( spl4_6
<=> smaller(internal_friction(sK1,sK3),internal_friction(sK1,sK2)) ),
introduced(definition,[new_symbols(definition,[spl4_6])],[avatar_definition]) ).
fof(f98,plain,
( smaller(internal_friction(sK1,sK3),internal_friction(sK1,sK2))
| ~ spl4_6 ),
inference(avatar_component_clause,[],[f96]) ).
fof(f100,definition,
( spl4_7
<=> internal_friction(sK1,sK3) = internal_friction(sK1,sK2) ),
introduced(definition,[new_symbols(definition,[spl4_7])],[avatar_definition]) ).
fof(f102,plain,
( internal_friction(sK1,sK3) = internal_friction(sK1,sK2)
| ~ spl4_7 ),
inference(avatar_component_clause,[],[f100]) ).
fof(f103,plain,
( spl4_6
| spl4_7
| ~ spl4_3 ),
inference(avatar_split_clause,[],[f93,f74,f100,f96]) ).
fof(f109,plain,
( external_ties(sK1,sK3) = external_ties(sK1,sK2)
| greater(external_ties(sK1,sK3),external_ties(sK1,sK2))
| ~ spl4_2 ),
inference(resolution,[],[f55,f71]) ).
fof(f113,definition,
( spl4_8
<=> greater(external_ties(sK1,sK3),external_ties(sK1,sK2)) ),
introduced(definition,[new_symbols(definition,[spl4_8])],[avatar_definition]) ).
fof(f114,plain,
( ~ greater(external_ties(sK1,sK3),external_ties(sK1,sK2))
| spl4_8 ),
inference(avatar_component_clause,[],[f113]) ).
fof(f115,plain,
( greater(external_ties(sK1,sK3),external_ties(sK1,sK2))
| ~ spl4_8 ),
inference(avatar_component_clause,[],[f113]) ).
fof(f117,definition,
( spl4_9
<=> external_ties(sK1,sK3) = external_ties(sK1,sK2) ),
introduced(definition,[new_symbols(definition,[spl4_9])],[avatar_definition]) ).
fof(f119,plain,
( external_ties(sK1,sK3) = external_ties(sK1,sK2)
| ~ spl4_9 ),
inference(avatar_component_clause,[],[f117]) ).
fof(f120,plain,
( spl4_8
| spl4_9
| ~ spl4_2 ),
inference(avatar_split_clause,[],[f109,f69,f117,f113]) ).
fof(f128,plain,
( ~ sP0(sK2,sK1,sK3)
| spl4_3 ),
inference(resolution,[],[f33,f75]) ).
fof(f130,plain,
( $false
| ~ spl4_1
| spl4_3 ),
inference(forward_subsumption_resolution,[],[f128,f67]) ).
fof(f131,plain,
( ~ spl4_1
| spl4_3 ),
inference(avatar_contradiction_clause,[],[f130]) ).
fof(f133,plain,
! [X2,X0,X1] :
( greater(stock_of_knowledge(X1,X2),stock_of_knowledge(X1,X0))
| stock_of_knowledge(X1,X2) = stock_of_knowledge(X1,X0)
| ~ sP0(X0,X1,X2) ),
inference(resolution,[],[f34,f55]) ).
fof(f134,plain,
( greater(internal_friction(sK1,sK2),internal_friction(sK1,sK3))
| ~ spl4_6 ),
inference(resolution,[],[f98,f53]) ).
fof(f165,plain,
! [X2,X0,X1] :
( ~ greater_or_equal(position(X0,X1),position(X0,X2))
| smaller(hazard_of_mortality(X0,X1),hazard_of_mortality(X0,X2))
| ~ organization(X0)
| has_immunity(X0,X2)
| has_immunity(X0,X1)
| capability(X0,X2) = capability(X0,X1)
| smaller(capability(X0,X1),capability(X0,X2)) ),
inference(resolution,[],[f51,f52]) ).
fof(f180,plain,
( greater(position(sK1,sK3),position(sK1,sK2))
| ~ organization(sK1)
| ~ spl4_8 ),
inference(resolution,[],[f115,f61]) ).
fof(f185,plain,
( greater(position(sK1,sK3),position(sK1,sK2))
| ~ spl4_8 ),
inference(forward_subsumption_resolution,[],[f180,f38]) ).
fof(f207,plain,
( ~ sP0(sK2,sK1,sK3)
| ~ spl4_5 ),
inference(resolution,[],[f85,f35]) ).
fof(f210,plain,
( $false
| ~ spl4_1
| ~ spl4_5 ),
inference(forward_subsumption_resolution,[],[f207,f67]) ).
fof(f211,plain,
( ~ spl4_1
| ~ spl4_5 ),
inference(avatar_contradiction_clause,[],[f210]) ).
fof(f220,plain,
( ~ greater_or_equal(capability(sK1,sK3),capability(sK1,sK2))
| smaller(hazard_of_mortality(sK1,sK3),hazard_of_mortality(sK1,sK2))
| ~ organization(sK1)
| has_immunity(sK1,sK2)
| has_immunity(sK1,sK3)
| ~ spl4_8 ),
inference(resolution,[],[f185,f50]) ).
fof(f223,plain,
( greater_or_equal(position(sK1,sK3),position(sK1,sK2))
| ~ spl4_8 ),
inference(resolution,[],[f185,f57]) ).
fof(f234,plain,
( ~ greater_or_equal(capability(sK1,sK3),capability(sK1,sK2))
| ~ organization(sK1)
| has_immunity(sK1,sK2)
| has_immunity(sK1,sK3)
| spl4_5
| ~ spl4_8 ),
inference(forward_subsumption_resolution,[],[f220,f86]) ).
fof(f236,definition,
( spl4_13
<=> smaller(capability(sK1,sK2),capability(sK1,sK3)) ),
introduced(definition,[new_symbols(definition,[spl4_13])],[avatar_definition]) ).
fof(f237,plain,
( ~ smaller(capability(sK1,sK2),capability(sK1,sK3))
| spl4_13 ),
inference(avatar_component_clause,[],[f236]) ).
fof(f238,plain,
( smaller(capability(sK1,sK2),capability(sK1,sK3))
| ~ spl4_13 ),
inference(avatar_component_clause,[],[f236]) ).
fof(f244,plain,
( ~ greater_or_equal(capability(sK1,sK3),capability(sK1,sK2))
| has_immunity(sK1,sK2)
| has_immunity(sK1,sK3)
| spl4_5
| ~ spl4_8 ),
inference(forward_subsumption_resolution,[],[f234,f38]) ).
fof(f245,plain,
( ~ greater_or_equal(capability(sK1,sK3),capability(sK1,sK2))
| has_immunity(sK1,sK3)
| spl4_5
| ~ spl4_8 ),
inference(forward_subsumption_resolution,[],[f244,f37]) ).
fof(f246,plain,
( ~ greater_or_equal(capability(sK1,sK3),capability(sK1,sK2))
| spl4_5
| ~ spl4_8 ),
inference(forward_subsumption_resolution,[],[f245,f36]) ).
fof(f253,definition,
( spl4_16
<=> stock_of_knowledge(sK1,sK3) = stock_of_knowledge(sK1,sK2) ),
introduced(definition,[new_symbols(definition,[spl4_16])],[avatar_definition]) ).
fof(f255,plain,
( stock_of_knowledge(sK1,sK3) = stock_of_knowledge(sK1,sK2)
| ~ spl4_16 ),
inference(avatar_component_clause,[],[f253]) ).
fof(f260,plain,
( greater(capability(sK1,sK3),capability(sK1,sK2))
| ~ smaller_or_equal(internal_friction(sK1,sK3),internal_friction(sK1,sK2))
| ~ organization(sK1)
| ~ spl4_4 ),
inference(resolution,[],[f81,f45]) ).
fof(f265,plain,
( greater(capability(sK1,sK3),capability(sK1,sK2))
| ~ organization(sK1)
| ~ spl4_3
| ~ spl4_4 ),
inference(forward_subsumption_resolution,[],[f260,f76]) ).
fof(f266,plain,
( greater(capability(sK1,sK3),capability(sK1,sK2))
| ~ spl4_3
| ~ spl4_4 ),
inference(forward_subsumption_resolution,[],[f265,f38]) ).
fof(f278,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)
| ~ organization(sK1) )
| ~ spl4_7 ),
inference(superposition,[],[f43,f102]) ).
fof(f281,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) )
| ~ spl4_7 ),
inference(forward_subsumption_resolution,[],[f278,f38]) ).
fof(f285,plain,
( ~ sP0(sK2,sK1,sK3)
| spl4_8 ),
inference(resolution,[],[f114,f32]) ).
fof(f287,plain,
( $false
| ~ spl4_1
| spl4_8 ),
inference(forward_subsumption_resolution,[],[f285,f67]) ).
fof(f288,plain,
( ~ spl4_1
| spl4_8 ),
inference(avatar_contradiction_clause,[],[f287]) ).
fof(f302,plain,
( smaller(hazard_of_mortality(sK1,sK3),hazard_of_mortality(sK1,sK2))
| ~ greater_or_equal(position(sK1,sK3),position(sK1,sK2))
| ~ organization(sK1)
| has_immunity(sK1,sK2)
| has_immunity(sK1,sK3)
| ~ spl4_3
| ~ spl4_4 ),
inference(resolution,[],[f266,f51]) ).
fof(f310,plain,
( ~ greater_or_equal(position(sK1,sK3),position(sK1,sK2))
| ~ organization(sK1)
| has_immunity(sK1,sK2)
| has_immunity(sK1,sK3)
| ~ spl4_3
| ~ spl4_4
| spl4_5 ),
inference(forward_subsumption_resolution,[],[f302,f86]) ).
fof(f311,plain,
( ~ organization(sK1)
| has_immunity(sK1,sK2)
| has_immunity(sK1,sK3)
| ~ spl4_3
| ~ spl4_4
| spl4_5
| ~ spl4_8 ),
inference(forward_subsumption_resolution,[],[f310,f223]) ).
fof(f312,plain,
( has_immunity(sK1,sK2)
| has_immunity(sK1,sK3)
| ~ spl4_3
| ~ spl4_4
| spl4_5
| ~ spl4_8 ),
inference(forward_subsumption_resolution,[],[f311,f38]) ).
fof(f313,plain,
( has_immunity(sK1,sK3)
| ~ spl4_3
| ~ spl4_4
| spl4_5
| ~ spl4_8 ),
inference(forward_subsumption_resolution,[],[f312,f37]) ).
fof(f314,plain,
( $false
| ~ spl4_3
| ~ spl4_4
| spl4_5
| ~ spl4_8 ),
inference(forward_subsumption_resolution,[],[f313,f36]) ).
fof(f315,plain,
( ~ spl4_3
| ~ spl4_4
| spl4_5
| ~ spl4_8 ),
inference(avatar_contradiction_clause,[],[f314]) ).
fof(f355,plain,
( stock_of_knowledge(sK1,sK3) = stock_of_knowledge(sK1,sK2)
| ~ sP0(sK2,sK1,sK3)
| spl4_4 ),
inference(resolution,[],[f133,f80]) ).
fof(f361,plain,
( stock_of_knowledge(sK1,sK3) = stock_of_knowledge(sK1,sK2)
| ~ spl4_1
| spl4_4 ),
inference(forward_subsumption_resolution,[],[f355,f67]) ).
fof(f363,plain,
( spl4_16
| ~ spl4_1
| spl4_4 ),
inference(avatar_split_clause,[],[f361,f79,f65,f253]) ).
fof(f430,plain,
( smaller(hazard_of_mortality(sK1,sK3),hazard_of_mortality(sK1,sK2))
| ~ organization(sK1)
| has_immunity(sK1,sK2)
| has_immunity(sK1,sK3)
| capability(sK1,sK2) = capability(sK1,sK3)
| smaller(capability(sK1,sK3),capability(sK1,sK2))
| ~ spl4_8 ),
inference(resolution,[],[f165,f223]) ).
fof(f434,plain,
( ~ organization(sK1)
| has_immunity(sK1,sK2)
| has_immunity(sK1,sK3)
| capability(sK1,sK2) = capability(sK1,sK3)
| smaller(capability(sK1,sK3),capability(sK1,sK2))
| spl4_5
| ~ spl4_8 ),
inference(forward_subsumption_resolution,[],[f430,f86]) ).
fof(f435,plain,
( has_immunity(sK1,sK2)
| has_immunity(sK1,sK3)
| capability(sK1,sK2) = capability(sK1,sK3)
| smaller(capability(sK1,sK3),capability(sK1,sK2))
| spl4_5
| ~ spl4_8 ),
inference(forward_subsumption_resolution,[],[f434,f38]) ).
fof(f436,plain,
( has_immunity(sK1,sK3)
| capability(sK1,sK2) = capability(sK1,sK3)
| smaller(capability(sK1,sK3),capability(sK1,sK2))
| spl4_5
| ~ spl4_8 ),
inference(forward_subsumption_resolution,[],[f435,f37]) ).
fof(f437,plain,
( capability(sK1,sK2) = capability(sK1,sK3)
| smaller(capability(sK1,sK3),capability(sK1,sK2))
| spl4_5
| ~ spl4_8 ),
inference(forward_subsumption_resolution,[],[f436,f36]) ).
fof(f439,definition,
( spl4_17
<=> smaller(capability(sK1,sK3),capability(sK1,sK2)) ),
introduced(definition,[new_symbols(definition,[spl4_17])],[avatar_definition]) ).
fof(f441,plain,
( smaller(capability(sK1,sK3),capability(sK1,sK2))
| ~ spl4_17 ),
inference(avatar_component_clause,[],[f439]) ).
fof(f443,definition,
( spl4_18
<=> capability(sK1,sK2) = capability(sK1,sK3) ),
introduced(definition,[new_symbols(definition,[spl4_18])],[avatar_definition]) ).
fof(f445,plain,
( capability(sK1,sK2) = capability(sK1,sK3)
| ~ spl4_18 ),
inference(avatar_component_clause,[],[f443]) ).
fof(f446,plain,
( spl4_17
| spl4_18
| spl4_5
| ~ spl4_8 ),
inference(avatar_split_clause,[],[f437,f113,f84,f443,f439]) ).
fof(f473,plain,
( greater(capability(sK1,sK2),capability(sK1,sK3))
| ~ spl4_17 ),
inference(resolution,[],[f441,f53]) ).
fof(f483,plain,
( ~ greater(capability(sK1,sK3),capability(sK1,sK2))
| ~ spl4_17 ),
inference(resolution,[],[f473,f59]) ).
fof(f532,plain,
( stock_of_knowledge(sK1,sK3) != stock_of_knowledge(sK1,sK2)
| capability(sK1,sK2) = capability(sK1,sK3)
| ~ spl4_7 ),
inference(equality_resolution,[],[f281]) ).
fof(f533,plain,
( capability(sK1,sK2) = capability(sK1,sK3)
| ~ spl4_7
| ~ spl4_16 ),
inference(forward_subsumption_resolution,[],[f532,f255]) ).
fof(f534,plain,
( spl4_18
| ~ spl4_7
| ~ spl4_16 ),
inference(avatar_split_clause,[],[f533,f253,f100,f443]) ).
fof(f535,plain,
( ~ greater_or_equal(capability(sK1,sK2),capability(sK1,sK2))
| spl4_5
| ~ spl4_8
| ~ spl4_18 ),
inference(superposition,[],[f246,f445]) ).
fof(f551,plain,
( $false
| spl4_5
| ~ spl4_8
| ~ spl4_18 ),
inference(forward_subsumption_resolution,[],[f535,f63]) ).
fof(f552,plain,
( spl4_5
| ~ spl4_8
| ~ spl4_18 ),
inference(avatar_contradiction_clause,[],[f551]) ).
fof(f563,plain,
( ~ smaller_or_equal(stock_of_knowledge(sK1,sK2),stock_of_knowledge(sK1,sK3))
| smaller(capability(sK1,sK2),capability(sK1,sK3))
| ~ organization(sK1)
| ~ spl4_6 ),
inference(resolution,[],[f134,f44]) ).
fof(f583,plain,
( greater(capability(sK1,sK3),capability(sK1,sK2))
| ~ spl4_13 ),
inference(resolution,[],[f238,f53]) ).
fof(f585,plain,
( $false
| ~ spl4_13
| ~ spl4_17 ),
inference(forward_subsumption_resolution,[],[f583,f483]) ).
fof(f586,plain,
( ~ spl4_13
| ~ spl4_17 ),
inference(avatar_contradiction_clause,[],[f585]) ).
fof(f588,plain,
( ~ smaller_or_equal(stock_of_knowledge(sK1,sK2),stock_of_knowledge(sK1,sK3))
| ~ organization(sK1)
| ~ spl4_6
| spl4_13 ),
inference(forward_subsumption_resolution,[],[f563,f237]) ).
fof(f591,plain,
( ~ smaller_or_equal(stock_of_knowledge(sK1,sK2),stock_of_knowledge(sK1,sK3))
| ~ spl4_6
| spl4_13 ),
inference(forward_subsumption_resolution,[],[f588,f38]) ).
fof(f592,plain,
( ~ smaller_or_equal(stock_of_knowledge(sK1,sK2),stock_of_knowledge(sK1,sK2))
| ~ spl4_6
| spl4_13
| ~ spl4_16 ),
inference(forward_demodulation,[],[f591,f255]) ).
fof(f593,plain,
( $false
| ~ spl4_6
| spl4_13
| ~ spl4_16 ),
inference(forward_subsumption_resolution,[],[f592,f62]) ).
fof(f594,plain,
( ~ spl4_6
| spl4_13
| ~ spl4_16 ),
inference(avatar_contradiction_clause,[],[f593]) ).
fof(f630,plain,
( ! [X0] :
( external_ties(sK1,sK2) != external_ties(sK1,X0)
| position(sK1,sK3) = position(sK1,X0)
| ~ organization(sK1) )
| ~ spl4_9 ),
inference(superposition,[],[f60,f119]) ).
fof(f642,plain,
( ! [X0] :
( external_ties(sK1,sK2) != external_ties(sK1,X0)
| position(sK1,sK3) = position(sK1,X0) )
| ~ spl4_9 ),
inference(forward_subsumption_resolution,[],[f630,f38]) ).
fof(f730,definition,
( spl4_20
<=> position(sK1,sK3) = position(sK1,sK2) ),
introduced(definition,[new_symbols(definition,[spl4_20])],[avatar_definition]) ).
fof(f732,plain,
( position(sK1,sK3) = position(sK1,sK2)
| ~ spl4_20 ),
inference(avatar_component_clause,[],[f730]) ).
fof(f740,plain,
( position(sK1,sK3) = position(sK1,sK2)
| ~ spl4_9 ),
inference(equality_resolution,[],[f642]) ).
fof(f741,plain,
( spl4_20
| ~ spl4_9 ),
inference(avatar_split_clause,[],[f740,f117,f730]) ).
fof(f902,plain,
( smaller(hazard_of_mortality(sK1,sK3),hazard_of_mortality(sK1,sK2))
| ~ greater_or_equal(position(sK1,sK3),position(sK1,sK2))
| ~ organization(sK1)
| has_immunity(sK1,sK2)
| has_immunity(sK1,sK3)
| ~ spl4_3
| ~ spl4_4 ),
inference(resolution,[],[f266,f51]) ).
fof(f908,plain,
( ~ greater_or_equal(position(sK1,sK3),position(sK1,sK2))
| ~ organization(sK1)
| has_immunity(sK1,sK2)
| has_immunity(sK1,sK3)
| ~ spl4_3
| ~ spl4_4
| spl4_5 ),
inference(forward_subsumption_resolution,[],[f902,f86]) ).
fof(f909,plain,
( ~ greater_or_equal(position(sK1,sK3),position(sK1,sK2))
| has_immunity(sK1,sK2)
| has_immunity(sK1,sK3)
| ~ spl4_3
| ~ spl4_4
| spl4_5 ),
inference(forward_subsumption_resolution,[],[f908,f38]) ).
fof(f910,plain,
( ~ greater_or_equal(position(sK1,sK3),position(sK1,sK2))
| has_immunity(sK1,sK3)
| ~ spl4_3
| ~ spl4_4
| spl4_5 ),
inference(forward_subsumption_resolution,[],[f909,f37]) ).
fof(f911,plain,
( ~ greater_or_equal(position(sK1,sK3),position(sK1,sK2))
| ~ spl4_3
| ~ spl4_4
| spl4_5 ),
inference(forward_subsumption_resolution,[],[f910,f36]) ).
fof(f912,plain,
( ~ greater_or_equal(position(sK1,sK2),position(sK1,sK2))
| ~ spl4_3
| ~ spl4_4
| spl4_5
| ~ spl4_20 ),
inference(forward_demodulation,[],[f911,f732]) ).
fof(f913,plain,
( $false
| ~ spl4_3
| ~ spl4_4
| spl4_5
| ~ spl4_20 ),
inference(forward_subsumption_resolution,[],[f912,f63]) ).
fof(f914,plain,
( ~ spl4_3
| ~ spl4_4
| spl4_5
| ~ spl4_20 ),
inference(avatar_contradiction_clause,[],[f913]) ).
cnf(s1,plain,
( spl4_1
| spl4_2 ),
inference(sat_conversion,[],[f72]) ).
cnf(s2,plain,
( spl4_1
| spl4_3 ),
inference(sat_conversion,[],[f77]) ).
cnf(s3,plain,
( spl4_1
| spl4_4 ),
inference(sat_conversion,[],[f82]) ).
cnf(s4,plain,
( spl4_1
| ~ spl4_5 ),
inference(sat_conversion,[],[f87]) ).
cnf(s5,plain,
( ~ spl4_3
| spl4_6
| spl4_7 ),
inference(sat_conversion,[],[f103]) ).
cnf(s6,plain,
( ~ spl4_2
| spl4_8
| spl4_9 ),
inference(sat_conversion,[],[f120]) ).
cnf(s7,plain,
( ~ spl4_1
| spl4_3 ),
inference(sat_conversion,[],[f131]) ).
cnf(s11,plain,
( ~ spl4_1
| ~ spl4_5 ),
inference(sat_conversion,[],[f211]) ).
cnf(s18,plain,
( ~ spl4_1
| spl4_8 ),
inference(sat_conversion,[],[f288]) ).
cnf(s22,plain,
( ~ spl4_3
| ~ spl4_4
| spl4_5
| ~ spl4_8 ),
inference(sat_conversion,[],[f315]) ).
cnf(s23,plain,
( ~ spl4_1
| spl4_4
| spl4_16 ),
inference(sat_conversion,[],[f363]) ).
cnf(s25,plain,
( spl4_5
| ~ spl4_8
| spl4_17
| spl4_18 ),
inference(sat_conversion,[],[f446]) ).
cnf(s26,plain,
( ~ spl4_7
| ~ spl4_16
| spl4_18 ),
inference(sat_conversion,[],[f534]) ).
cnf(s28,plain,
( spl4_5
| ~ spl4_8
| ~ spl4_18 ),
inference(sat_conversion,[],[f552]) ).
cnf(s29,plain,
( ~ spl4_13
| ~ spl4_17 ),
inference(sat_conversion,[],[f586]) ).
cnf(s31,plain,
( ~ spl4_6
| spl4_13
| ~ spl4_16 ),
inference(sat_conversion,[],[f594]) ).
cnf(s39,plain,
( ~ spl4_9
| spl4_20 ),
inference(sat_conversion,[],[f741]) ).
cnf(s42,plain,
( ~ spl4_3
| ~ spl4_4
| spl4_5
| ~ spl4_20 ),
inference(sat_conversion,[],[f914]) ).
cnf(s43,plain,
spl4_1,
inference(rat,[],[s39,s6,s42,s22,s1,s2,s3,s4]) ).
cnf(s44,plain,
spl4_8,
inference(rat,[],[s18,s43]) ).
cnf(s45,plain,
~ spl4_5,
inference(rat,[],[s11,s43]) ).
cnf(s46,plain,
spl4_3,
inference(rat,[],[s7,s43]) ).
cnf(s48,plain,
~ spl4_18,
inference(rat,[],[s28,s45,s44]) ).
cnf(s49,plain,
~ spl4_4,
inference(rat,[],[s22,s44,s45,s46]) ).
cnf(s50,plain,
spl4_17,
inference(rat,[],[s25,s45,s44,s48]) ).
cnf(s51,plain,
spl4_16,
inference(rat,[],[s23,s43,s49]) ).
cnf(s52,plain,
~ spl4_13,
inference(rat,[],[s29,s50]) ).
cnf(s54,plain,
~ spl4_7,
inference(rat,[],[s26,s48,s51]) ).
cnf(s56,plain,
~ spl4_6,
inference(rat,[],[s31,s51,s52]) ).
cnf(s57,plain,
$false,
inference(rat,[],[s5,s46,s54,s56]) ).
fof(f915,plain,
$false,
inference(avatar_sat_refutation,[],[s57]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT042+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.40 % Computer : n018.cluster.edu
% 0.12/0.40 % Model : x86_64 x86_64
% 0.12/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.40 % Memory : 8046.5625MB
% 0.12/0.40 % OS : Linux 6.8.0-71-generic
% 0.12/0.40 % CPULimit : 300
% 0.12/0.40 % WCLimit : 300
% 0.12/0.40 % DateTime : Sun Sep 27 17:27:54 UTC 2026
% 0.12/0.40 % CPUTime :
% 0.12/0.40 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.44 Running first-order theorem proving
% 0.12/0.44 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
% 2.28/1.28 % (2619066)Detected formulas, will run a generic FOF schedule.
% 2.28/1.28 % (2619075)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2366371174:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.28/1.28 % (2619075)Instruction limit reached!
% 2.28/1.28 % (2619075)------------------------------
% 2.28/1.28 % (2619075)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.28/1.28 % (2619075)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.28/1.28 % (2619075)CaDiCaL version: 2.1.3
% 2.28/1.28 % (2619075)Termination reason: Instruction limit
% 2.28/1.28 % (2619075)Termination phase: Saturation
% 2.28/1.28 % (2619075)Time elapsed: 0.038 s
% 2.28/1.28 % (2619075)Peak memory usage: 88 MB
% 2.28/1.28 % (2619075)Instructions burned: 121 (million)
% 2.28/1.28 % (2619072)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=3623355620:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.28/1.28 % (2619074)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1389687702:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.28/1.28 % (2619071)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=3589548279:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.28/1.28 % (2619073)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=3784042721:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.28/1.28 % (2619077)dis-21_1_sil=8000:lcm=predicate:random_seed=3385672602:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 2.28/1.28 % (2619076)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1926761270:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.28/1.28 % (2619077)Instruction limit reached!
% 2.28/1.28 % (2619077)------------------------------
% 2.28/1.28 % (2619077)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.28/1.28 % (2619077)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.28/1.28 % (2619077)CaDiCaL version: 2.1.3
% 2.28/1.28 % (2619077)Termination reason: Instruction limit
% 2.28/1.28 % (2619077)Termination phase: Saturation
% 2.28/1.28 % (2619077)Time elapsed: 0.051 s
% 2.28/1.28 % (2619077)Peak memory usage: 88 MB
% 2.28/1.28 % (2619077)Instructions burned: 131 (million)
% 2.28/1.28 % (2619074)Instruction limit reached!
% 2.28/1.28 % (2619074)------------------------------
% 2.28/1.28 % (2619074)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.28/1.28 % (2619074)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.28/1.28 % (2619074)CaDiCaL version: 2.1.3
% 2.28/1.28 % (2619074)Termination reason: Instruction limit
% 2.28/1.28 % (2619074)Termination phase: Saturation
% 2.28/1.28 % (2619074)Time elapsed: 0.064 s
% 2.28/1.28 % (2619074)Peak memory usage: 89 MB
% 2.28/1.28 % (2619074)Instructions burned: 109 (million)
% 2.28/1.28 % (2619079)lrs+10_1_sil=8000:sp=occurrence:random_seed=1506814250:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 2.28/1.28 % (2619079)First to succeed.
% 2.28/1.28 % (2619079)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2619066"
% 2.28/1.28 % (2619076)Instruction limit reached!
% 2.28/1.28 % (2619076)------------------------------
% 2.28/1.28 % (2619076)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.28/1.28 % (2619076)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.28/1.28 % (2619076)CaDiCaL version: 2.1.3
% 2.28/1.28 % (2619076)Termination reason: Instruction limit
% 2.28/1.28 % (2619076)Termination phase: Saturation
% 2.28/1.28 % (2619076)Time elapsed: 0.094 s
% 2.28/1.28 % (2619076)Peak memory usage: 89 MB
% 2.28/1.28 % (2619076)Instructions burned: 140 (million)
% 2.28/1.28 % (2619086)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1034989968:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 2.28/1.28 % (2619087)lrs+1011_1_sil=32000:sp=occurrence:random_seed=4111002969:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 2.28/1.28 % (2619086)Refutation not found, incomplete strategy
% 2.28/1.28 % (2619086)------------------------------
% 2.28/1.28 % (2619086)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.28/1.28 % (2619086)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.28/1.28 % (2619086)CaDiCaL version: 2.1.3
% 2.28/1.28 % (2619086)Termination reason: Refutation not found, incomplete strategy
% 2.28/1.28 % (2619086)Time elapsed: 0.007 s
% 2.28/1.28 % (2619086)Peak memory usage: 89 MB
% 2.28/1.28 % (2619086)Instructions burned: 9 (million)
% 2.28/1.28 % (2619089)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=915238648:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 2.28/1.28 % (2619089)Also succeeded, but the first one will report.
% 2.28/1.28 % (2619079)Refutation found. Thanks to Tanya!
% 2.28/1.28 % SZS status Theorem for theBenchmark
% 2.28/1.28 % SZS output start Proof for theBenchmark
% See solution above
% 3.34/1.37 % (2619079)------------------------------
% 3.34/1.37 % (2619079)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.34/1.37 % (2619079)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.34/1.37 % (2619079)CaDiCaL version: 2.1.3
% 3.34/1.37 % (2619079)Termination reason: Refutation
% 3.34/1.37 % (2619079)Time elapsed: 0.015 s
% 3.34/1.37 % (2619079)Peak memory usage: 90 MB
% 3.34/1.37 % (2619079)Instructions burned: 42 (million)
% 3.34/1.37 % (2619079)------------------------------
% 3.34/1.37 % (2619079)------------------------------
% 3.34/1.37 % (2619066)Success in time 0.4 s
% 3.34/1.37 % Vampire exiting
%------------------------------------------------------------------------------