%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : MGT046+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 : n012.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 12:02:13 PM UTC 2026
% Result : Theorem 0.73s 0.84s
% Output : Refutation 2.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 13
% Syntax : Number of formulae : 83 ( 18 unt; 2 def)
% Number of atoms : 266 ( 32 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 302 ( 119 ~; 118 |; 41 &)
% ( 5 <=>; 19 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 3 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 3 con; 0-2 aty)
% Number of variables : 135 ( 0 sgn 129 !; 6 ?)
% 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) ).
fof(f2,axiom,
! [X0,X1] :
( greater_or_equal(X0,X1)
<=> ( greater(X0,X1)
| X0 = X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_greater_or_equal) ).
fof(f3,axiom,
! [X0,X1] :
( smaller(X0,X1)
<=> greater(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_smaller) ).
fof(f7,axiom,
! [X0,X1] :
( ( organization(X0)
& ~ has_endowment(X0) )
=> ~ has_immunity(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_1) ).
fof(f8,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/sandbox2/benchmark/theBenchmark.p',assumption_4) ).
fof(f9,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/sandbox2/benchmark/theBenchmark.p',assumption_5) ).
fof(f10,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/sandbox2/benchmark/theBenchmark.p',assumption_6) ).
fof(f11,axiom,
! [X0,X1,X2] :
( ( organization(X0)
& greater(age(X0,X2),age(X0,X1)) )
=> greater(stock_of_knowledge(X0,X2),stock_of_knowledge(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_7) ).
fof(f12,axiom,
! [X0,X1,X2] :
( ( organization(X0)
& greater(age(X0,X2),age(X0,X1)) )
=> greater(external_ties(X0,X2),external_ties(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_8) ).
fof(f13,axiom,
! [X0,X1,X2] :
( organization(X0)
=> internal_friction(X0,X2) = internal_friction(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_9) ).
fof(f14,conjecture,
! [X0,X1,X2] :
( ( organization(X0)
& ~ has_endowment(X0)
& greater(age(X0,X2),age(X0,X1)) )
=> smaller(hazard_of_mortality(X0,X2),hazard_of_mortality(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_1) ).
fof(f15,negated_conjecture,
~ ! [X0,X1,X2] :
( ( organization(X0)
& ~ has_endowment(X0)
& greater(age(X0,X2),age(X0,X1)) )
=> smaller(hazard_of_mortality(X0,X2),hazard_of_mortality(X0,X1)) ),
inference(negated_conjecture,[status(cth)],[f14]) ).
fof(f16,plain,
! [X0,X1] :
( ( greater(X0,X1)
| X0 = X1 )
=> greater_or_equal(X0,X1) ),
inference(unused_predicate_definition_removal,[],[f2]) ).
fof(f17,plain,
! [X0,X1] :
( ( smaller(X0,X1)
| X0 = X1 )
=> smaller_or_equal(X0,X1) ),
inference(unused_predicate_definition_removal,[],[f1]) ).
fof(f18,plain,
! [X0,X1] :
( smaller_or_equal(X0,X1)
| ( ~ smaller(X0,X1)
& X0 != X1 ) ),
inference(ennf_transformation,[],[f17]) ).
fof(f19,plain,
! [X0,X1] :
( greater_or_equal(X0,X1)
| ( ~ greater(X0,X1)
& X0 != X1 ) ),
inference(ennf_transformation,[],[f16]) ).
fof(f23,plain,
! [X0,X1] :
( ~ has_immunity(X0,X1)
| ~ organization(X0)
| has_endowment(X0) ),
inference(ennf_transformation,[],[f7]) ).
fof(f24,plain,
! [X0,X1] :
( ~ has_immunity(X0,X1)
| ~ organization(X0)
| has_endowment(X0) ),
inference(flattening,[],[f23]) ).
fof(f25,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,[],[f8]) ).
fof(f26,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,[],[f25]) ).
fof(f27,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,[],[f9]) ).
fof(f28,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,[],[f27]) ).
fof(f29,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,[],[f10]) ).
fof(f30,plain,
! [X0,X1,X2] :
( greater(stock_of_knowledge(X0,X2),stock_of_knowledge(X0,X1))
| ~ organization(X0)
| ~ greater(age(X0,X2),age(X0,X1)) ),
inference(ennf_transformation,[],[f11]) ).
fof(f31,plain,
! [X0,X1,X2] :
( greater(stock_of_knowledge(X0,X2),stock_of_knowledge(X0,X1))
| ~ organization(X0)
| ~ greater(age(X0,X2),age(X0,X1)) ),
inference(flattening,[],[f30]) ).
fof(f32,plain,
! [X0,X1,X2] :
( greater(external_ties(X0,X2),external_ties(X0,X1))
| ~ organization(X0)
| ~ greater(age(X0,X2),age(X0,X1)) ),
inference(ennf_transformation,[],[f12]) ).
fof(f33,plain,
! [X0,X1,X2] :
( greater(external_ties(X0,X2),external_ties(X0,X1))
| ~ organization(X0)
| ~ greater(age(X0,X2),age(X0,X1)) ),
inference(flattening,[],[f32]) ).
fof(f34,plain,
! [X0,X1,X2] :
( internal_friction(X0,X2) = internal_friction(X0,X1)
| ~ organization(X0) ),
inference(ennf_transformation,[],[f13]) ).
fof(f35,plain,
? [X0,X1,X2] :
( ~ smaller(hazard_of_mortality(X0,X2),hazard_of_mortality(X0,X1))
& organization(X0)
& ~ has_endowment(X0)
& greater(age(X0,X2),age(X0,X1)) ),
inference(ennf_transformation,[],[f15]) ).
fof(f36,plain,
? [X0,X1,X2] :
( ~ smaller(hazard_of_mortality(X0,X2),hazard_of_mortality(X0,X1))
& organization(X0)
& ~ has_endowment(X0)
& greater(age(X0,X2),age(X0,X1)) ),
inference(flattening,[],[f35]) ).
fof(f37,plain,
! [X0,X1] :
( ( smaller(X0,X1)
| ~ greater(X1,X0) )
& ( greater(X1,X0)
| ~ smaller(X0,X1) ) ),
inference(nnf_transformation,[],[f3]) ).
fof(f38,plain,
( ~ smaller(hazard_of_mortality(sK0,sK2),hazard_of_mortality(sK0,sK1))
& organization(sK0)
& ~ has_endowment(sK0)
& greater(age(sK0,sK2),age(sK0,sK1)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2)],[f36]) ).
fof(f39,plain,
! [X0,X1] :
( smaller_or_equal(X0,X1)
| X0 != X1 ),
inference(cnf_transformation,[],[f18]) ).
fof(f42,plain,
! [X0,X1] :
( greater_or_equal(X0,X1)
| ~ greater(X0,X1) ),
inference(cnf_transformation,[],[f19]) ).
fof(f43,plain,
! [X0,X1] :
( greater(X1,X0)
| ~ smaller(X0,X1) ),
inference(cnf_transformation,[],[f37]) ).
fof(f44,plain,
! [X0,X1] :
( ~ greater(X1,X0)
| smaller(X0,X1) ),
inference(cnf_transformation,[],[f37]) ).
fof(f48,plain,
! [X0,X1] :
( ~ has_immunity(X0,X1)
| ~ organization(X0)
| has_endowment(X0) ),
inference(cnf_transformation,[],[f24]) ).
fof(f50,plain,
! [X2,X0,X1] :
( ~ organization(X0)
| ~ 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))
| has_immunity(X0,X1)
| has_immunity(X0,X2) ),
inference(cnf_transformation,[],[f26]) ).
fof(f54,plain,
! [X2,X0,X1] :
( ~ 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)) ),
inference(cnf_transformation,[],[f28]) ).
fof(f56,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,[],[f29]) ).
fof(f57,plain,
! [X2,X0,X1] :
( ~ organization(X0)
| greater(stock_of_knowledge(X0,X2),stock_of_knowledge(X0,X1))
| ~ greater(age(X0,X2),age(X0,X1)) ),
inference(cnf_transformation,[],[f31]) ).
fof(f58,plain,
! [X2,X0,X1] :
( ~ organization(X0)
| greater(external_ties(X0,X2),external_ties(X0,X1))
| ~ greater(age(X0,X2),age(X0,X1)) ),
inference(cnf_transformation,[],[f33]) ).
fof(f59,plain,
! [X2,X0,X1] :
( internal_friction(X0,X2) = internal_friction(X0,X1)
| ~ organization(X0) ),
inference(cnf_transformation,[],[f34]) ).
fof(f60,plain,
greater(age(sK0,sK2),age(sK0,sK1)),
inference(cnf_transformation,[],[f38]) ).
fof(f61,plain,
~ has_endowment(sK0),
inference(cnf_transformation,[],[f38]) ).
fof(f62,plain,
organization(sK0),
inference(cnf_transformation,[],[f38]) ).
fof(f63,plain,
~ smaller(hazard_of_mortality(sK0,sK2),hazard_of_mortality(sK0,sK1)),
inference(cnf_transformation,[],[f38]) ).
fof(f64,plain,
! [X1] : smaller_or_equal(X1,X1),
inference(equality_resolution,[],[f39]) ).
fof(f109,plain,
! [X0,X1] :
( ~ greater(age(sK0,X0),age(sK0,X1))
| greater(stock_of_knowledge(sK0,X0),stock_of_knowledge(sK0,X1)) ),
inference(resolution,[],[f57,f62]) ).
fof(f110,plain,
greater(stock_of_knowledge(sK0,sK2),stock_of_knowledge(sK0,sK1)),
inference(resolution,[],[f109,f60]) ).
fof(f112,plain,
! [X0,X1] :
( ~ greater(age(sK0,X0),age(sK0,X1))
| greater(external_ties(sK0,X0),external_ties(sK0,X1)) ),
inference(resolution,[],[f58,f62]) ).
fof(f115,plain,
smaller(stock_of_knowledge(sK0,sK1),stock_of_knowledge(sK0,sK2)),
inference(resolution,[],[f110,f44]) ).
fof(f129,plain,
! [X0,X1] :
( ~ greater(stock_of_knowledge(sK0,X0),stock_of_knowledge(sK0,X1))
| ~ smaller_or_equal(internal_friction(sK0,X0),internal_friction(sK0,X1))
| greater(capability(sK0,X0),capability(sK0,X1)) ),
inference(resolution,[],[f54,f62]) ).
fof(f151,plain,
! [X0,X1] :
( has_immunity(sK0,X1)
| ~ greater(position(sK0,X0),position(sK0,X1))
| smaller(hazard_of_mortality(sK0,X0),hazard_of_mortality(sK0,X1))
| ~ greater_or_equal(capability(sK0,X0),capability(sK0,X1))
| has_immunity(sK0,X0) ),
inference(resolution,[],[f50,f62]) ).
fof(f183,plain,
greater(external_ties(sK0,sK2),external_ties(sK0,sK1)),
inference(resolution,[],[f112,f60]) ).
fof(f185,plain,
( greater(position(sK0,sK2),position(sK0,sK1))
| ~ organization(sK0) ),
inference(resolution,[],[f183,f56]) ).
fof(f189,plain,
greater(position(sK0,sK2),position(sK0,sK1)),
inference(forward_subsumption_resolution,[],[f185,f62]) ).
fof(f191,plain,
! [X0,X1] :
( ~ smaller(stock_of_knowledge(sK0,X1),stock_of_knowledge(sK0,X0))
| greater(capability(sK0,X0),capability(sK0,X1))
| ~ smaller_or_equal(internal_friction(sK0,X0),internal_friction(sK0,X1)) ),
inference(resolution,[],[f129,f43]) ).
fof(f193,definition,
( spl3_7
<=> greater(capability(sK0,sK2),capability(sK0,sK1)) ),
introduced(definition,[new_symbols(definition,[spl3_7])],[avatar_definition]) ).
fof(f197,definition,
( spl3_8
<=> smaller_or_equal(internal_friction(sK0,sK2),internal_friction(sK0,sK1)) ),
introduced(definition,[new_symbols(definition,[spl3_8])],[avatar_definition]) ).
fof(f199,plain,
( ~ smaller_or_equal(internal_friction(sK0,sK2),internal_friction(sK0,sK1))
| spl3_8 ),
inference(avatar_component_clause,[],[f197]) ).
fof(f206,plain,
! [X0,X1] :
( ~ greater(position(sK0,X0),position(sK0,X1))
| smaller(hazard_of_mortality(sK0,X0),hazard_of_mortality(sK0,X1))
| ~ greater_or_equal(capability(sK0,X0),capability(sK0,X1))
| has_immunity(sK0,X0)
| ~ organization(sK0)
| has_endowment(sK0) ),
inference(resolution,[],[f151,f48]) ).
fof(f207,plain,
! [X0,X1] :
( ~ greater(position(sK0,X0),position(sK0,X1))
| smaller(hazard_of_mortality(sK0,X0),hazard_of_mortality(sK0,X1))
| ~ greater_or_equal(capability(sK0,X0),capability(sK0,X1))
| has_immunity(sK0,X0)
| has_endowment(sK0) ),
inference(forward_subsumption_resolution,[],[f206,f62]) ).
fof(f208,plain,
! [X0,X1] :
( has_immunity(sK0,X0)
| smaller(hazard_of_mortality(sK0,X0),hazard_of_mortality(sK0,X1))
| ~ greater_or_equal(capability(sK0,X0),capability(sK0,X1))
| ~ greater(position(sK0,X0),position(sK0,X1)) ),
inference(forward_subsumption_resolution,[],[f207,f61]) ).
fof(f226,plain,
( ! [X0] :
( ~ smaller_or_equal(internal_friction(sK0,sK2),internal_friction(sK0,X0))
| ~ organization(sK0) )
| spl3_8 ),
inference(superposition,[],[f199,f59]) ).
fof(f227,plain,
( ! [X0] : ~ smaller_or_equal(internal_friction(sK0,sK2),internal_friction(sK0,X0))
| spl3_8 ),
inference(forward_subsumption_resolution,[],[f226,f62]) ).
fof(f372,plain,
! [X0,X1] :
( smaller(hazard_of_mortality(sK0,X0),hazard_of_mortality(sK0,X1))
| ~ greater_or_equal(capability(sK0,X0),capability(sK0,X1))
| ~ greater(position(sK0,X0),position(sK0,X1))
| ~ organization(sK0)
| has_endowment(sK0) ),
inference(resolution,[],[f208,f48]) ).
fof(f373,plain,
! [X0,X1] :
( smaller(hazard_of_mortality(sK0,X0),hazard_of_mortality(sK0,X1))
| ~ greater_or_equal(capability(sK0,X0),capability(sK0,X1))
| ~ greater(position(sK0,X0),position(sK0,X1))
| has_endowment(sK0) ),
inference(forward_subsumption_resolution,[],[f372,f62]) ).
fof(f374,plain,
! [X0,X1] :
( ~ greater(position(sK0,X0),position(sK0,X1))
| ~ greater_or_equal(capability(sK0,X0),capability(sK0,X1))
| smaller(hazard_of_mortality(sK0,X0),hazard_of_mortality(sK0,X1)) ),
inference(forward_subsumption_resolution,[],[f373,f61]) ).
fof(f527,plain,
( ~ greater_or_equal(capability(sK0,sK2),capability(sK0,sK1))
| smaller(hazard_of_mortality(sK0,sK2),hazard_of_mortality(sK0,sK1)) ),
inference(resolution,[],[f374,f189]) ).
fof(f537,plain,
~ greater_or_equal(capability(sK0,sK2),capability(sK0,sK1)),
inference(forward_subsumption_resolution,[],[f527,f63]) ).
fof(f538,plain,
~ greater(capability(sK0,sK2),capability(sK0,sK1)),
inference(resolution,[],[f537,f42]) ).
fof(f549,plain,
~ spl3_7,
inference(avatar_split_clause,[],[f538,f193]) ).
fof(f550,plain,
( greater(capability(sK0,sK2),capability(sK0,sK1))
| ~ smaller_or_equal(internal_friction(sK0,sK2),internal_friction(sK0,sK1)) ),
inference(resolution,[],[f191,f115]) ).
fof(f552,plain,
( ~ spl3_8
| spl3_7 ),
inference(avatar_split_clause,[],[f550,f193,f197]) ).
fof(f575,plain,
( $false
| spl3_8 ),
inference(resolution,[],[f227,f64]) ).
fof(f581,plain,
spl3_8,
inference(avatar_contradiction_clause,[],[f575]) ).
cnf(s12,plain,
~ spl3_7,
inference(sat_conversion,[],[f549]) ).
cnf(s13,plain,
( spl3_7
| ~ spl3_8 ),
inference(sat_conversion,[],[f552]) ).
cnf(s17,plain,
spl3_8,
inference(sat_conversion,[],[f581]) ).
cnf(s18,plain,
spl3_7,
inference(rat,[],[s13,s17]) ).
cnf(s19,plain,
$false,
inference(rat,[],[s12,s18]) ).
fof(f584,plain,
$false,
inference(avatar_sat_refutation,[],[s19]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : MGT046+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.03 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.05/0.31 % Computer : n012.cluster.edu
% 0.05/0.31 % Model : x86_64 x86_64
% 0.05/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.05/0.31 % Memory : 8046.5625MB
% 0.05/0.31 % OS : Linux 6.8.0-71-generic
% 0.05/0.31 % CPULimit : 300
% 0.05/0.31 % WCLimit : 300
% 0.05/0.31 % DateTime : Sun Sep 27 17:26:35 UTC 2026
% 0.05/0.31 % CPUTime :
% 0.05/0.31 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.33 Running first-order theorem proving
% 0.08/0.33 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
% 0.73/0.84 % (2612001)Detected formulas, will run a generic FOF schedule.
% 0.73/0.84 % (2612012)dis-21_1_sil=8000:lcm=predicate:random_seed=1637651676: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)
% 0.73/0.84 % (2612006)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=2139780049:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 0.73/0.84 % (2612008)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=327383353:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 0.73/0.84 % (2612010)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2530855382:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 0.73/0.84 % (2612007)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=3008305536:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 0.73/0.84 % (2612009)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3060326841:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 0.73/0.84 % (2612011)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=576169698:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 0.73/0.84 % (2612011)First to succeed.
% 0.73/0.84 % (2612011)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2612001"
% 0.73/0.84 % (2612009)Instruction limit reached!
% 0.73/0.84 % (2612009)------------------------------
% 0.73/0.84 % (2612009)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.73/0.84 % (2612009)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.73/0.84 % (2612009)CaDiCaL version: 2.1.3
% 0.73/0.84 % (2612009)Termination reason: Instruction limit
% 0.73/0.84 % (2612009)Termination phase: Saturation
% 0.73/0.84 % (2612009)Time elapsed: 0.024 s
% 0.73/0.84 % (2612009)Peak memory usage: 87 MB
% 0.73/0.84 % (2612009)Instructions burned: 114 (million)
% 0.73/0.84 % (2612012)Instruction limit reached!
% 0.73/0.84 % (2612012)------------------------------
% 0.73/0.84 % (2612012)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.73/0.84 % (2612012)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.73/0.84 % (2612012)CaDiCaL version: 2.1.3
% 0.73/0.84 % (2612012)Termination reason: Instruction limit
% 0.73/0.84 % (2612012)Termination phase: Saturation
% 0.73/0.84 % (2612012)Time elapsed: 0.026 s
% 0.73/0.84 % (2612012)Peak memory usage: 87 MB
% 0.73/0.84 % (2612012)Instructions burned: 131 (million)
% 0.73/0.84 % (2612010)Instruction limit reached!
% 0.73/0.84 % (2612010)------------------------------
% 0.73/0.84 % (2612010)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.73/0.84 % (2612010)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.73/0.84 % (2612010)CaDiCaL version: 2.1.3
% 0.73/0.84 % (2612010)Termination reason: Instruction limit
% 0.73/0.84 % (2612010)Termination phase: Saturation
% 0.73/0.84 % (2612010)Time elapsed: 0.039 s
% 0.73/0.84 % (2612010)Peak memory usage: 87 MB
% 0.73/0.84 % (2612010)Instructions burned: 122 (million)
% 0.73/0.84 % (2612020)lrs+10_1_sil=8000:sp=occurrence:random_seed=299042222:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 0.73/0.84 % (2612021)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2173141894:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/157Mi)
% 0.73/0.84 % (2612021)Refutation not found, incomplete strategy
% 0.73/0.84 % (2612021)------------------------------
% 0.73/0.84 % (2612021)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.73/0.84 % (2612021)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.73/0.84 % (2612021)CaDiCaL version: 2.1.3
% 0.73/0.84 % (2612021)Termination reason: Refutation not found, incomplete strategy
% 0.73/0.84 % (2612021)Time elapsed: 0.002 s
% 0.73/0.84 % (2612021)Peak memory usage: 88 MB
% 0.73/0.84 % (2612021)Instructions burned: 5 (million)
% 0.73/0.84 % (2612020)Also succeeded, but the first one will report.
% 0.73/0.84 % (2612022)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3989787930:i=325:sd=1:ss=axioms:sgt=32_2998 on theBenchmark for (2998ds/325Mi)
% 0.73/0.84 % (2612011)Refutation found. Thanks to Tanya!
% 0.73/0.84 % SZS status Theorem for theBenchmark
% 0.73/0.84 % SZS output start Proof for theBenchmark
% See solution above
% 2.37/0.94 % (2612011)------------------------------
% 2.37/0.94 % (2612011)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.37/0.94 % (2612011)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.37/0.94 % (2612011)CaDiCaL version: 2.1.3
% 2.37/0.94 % (2612011)Termination reason: Refutation
% 2.37/0.94 % (2612011)Time elapsed: 0.010 s
% 2.37/0.94 % (2612011)Peak memory usage: 89 MB
% 2.37/0.94 % (2612011)Instructions burned: 25 (million)
% 2.37/0.94 % (2612011)------------------------------
% 2.37/0.94 % (2612011)------------------------------
% 2.37/0.94 % (2612001)Success in time 0.304 s
% 2.37/0.94 % Vampire exiting
%------------------------------------------------------------------------------