%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : MGT051+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 : n008.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 12:02:14 PM UTC 2026
% Result : Theorem 4.20s 1.77s
% Output : Refutation 6.73s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 29
% Syntax : Number of formulae : 195 ( 26 unt; 13 def)
% Number of atoms : 575 ( 72 equ)
% Maximal formula atoms : 12 ( 2 avg)
% Number of connectives : 632 ( 252 ~; 265 |; 73 &)
% ( 17 <=>; 25 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 22 ( 20 usr; 14 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 6 con; 0-2 aty)
% Number of variables : 189 ( 0 sgn 179 !; 10 ?)
% 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(f4,axiom,
! [X0,X1] :
~ ( greater(X0,X1)
& greater(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',meaning_postulate_greater_strict) ).
fof(f5,axiom,
! [X0,X1,X2] :
( ( greater(X0,X1)
& greater(X1,X2) )
=> greater(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',meaning_postulate_greater_transitive) ).
fof(f6,axiom,
! [X0,X1] :
( smaller(X0,X1)
| X0 = X1
| greater(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',meaning_postulate_greater_comparable) ).
fof(f7,axiom,
! [X0] :
( has_endowment(X0)
<=> ! [X1] :
( organization(X0)
& ( smaller_or_equal(age(X0,X1),eta)
=> has_immunity(X0,X1) )
& ( greater(age(X0,X1),eta)
=> ~ has_immunity(X0,X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_1) ).
fof(f8,axiom,
! [X0,X1,X2] :
( ( organization(X0)
& has_immunity(X0,X1)
& has_immunity(X0,X2) )
=> hazard_of_mortality(X0,X1) = hazard_of_mortality(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_2) ).
fof(f9,axiom,
! [X0,X1,X2] :
( ( organization(X0)
& has_immunity(X0,X1)
& ~ has_immunity(X0,X2) )
=> greater(hazard_of_mortality(X0,X2),hazard_of_mortality(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_3) ).
fof(f10,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(f11,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(f12,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(f13,axiom,
! [X0,X1,X2] :
( organization(X0)
=> stock_of_knowledge(X0,X2) = stock_of_knowledge(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_10) ).
fof(f14,axiom,
! [X0,X1,X2] :
( organization(X0)
=> external_ties(X0,X2) = external_ties(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_11) ).
fof(f15,axiom,
! [X0,X1,X2] :
( ( organization(X0)
& greater(age(X0,X2),age(X0,X1)) )
=> greater(internal_friction(X0,X2),internal_friction(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_12) ).
fof(f16,conjecture,
! [X0,X1,X2,X3,X4] :
( ( organization(X0)
& has_endowment(X0)
& smaller_or_equal(age(X0,X1),age(X0,X2))
& smaller_or_equal(age(X0,X2),eta)
& greater(age(X0,X3),eta)
& greater(age(X0,X4),age(X0,X3)) )
=> ( greater(hazard_of_mortality(X0,X4),hazard_of_mortality(X0,X3))
& greater(hazard_of_mortality(X0,X3),hazard_of_mortality(X0,X2))
& hazard_of_mortality(X0,X2) = hazard_of_mortality(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_4) ).
fof(f17,negated_conjecture,
~ ! [X0,X1,X2,X3,X4] :
( ( organization(X0)
& has_endowment(X0)
& smaller_or_equal(age(X0,X1),age(X0,X2))
& smaller_or_equal(age(X0,X2),eta)
& greater(age(X0,X3),eta)
& greater(age(X0,X4),age(X0,X3)) )
=> ( greater(hazard_of_mortality(X0,X4),hazard_of_mortality(X0,X3))
& greater(hazard_of_mortality(X0,X3),hazard_of_mortality(X0,X2))
& hazard_of_mortality(X0,X2) = hazard_of_mortality(X0,X1) ) ),
inference(negated_conjecture,[status(cth)],[f16]) ).
fof(f18,plain,
! [X0] :
( has_endowment(X0)
=> ! [X1] :
( organization(X0)
& ( smaller_or_equal(age(X0,X1),eta)
=> has_immunity(X0,X1) )
& ( greater(age(X0,X1),eta)
=> ~ has_immunity(X0,X1) ) ) ),
inference(unused_predicate_definition_removal,[],[f7]) ).
fof(f19,plain,
! [X0,X1] :
( ( greater(X0,X1)
| X0 = X1 )
=> greater_or_equal(X0,X1) ),
inference(unused_predicate_definition_removal,[],[f2]) ).
fof(f20,plain,
? [X0,X1,X2,X3,X4] :
( ( ~ greater(hazard_of_mortality(X0,X4),hazard_of_mortality(X0,X3))
| ~ greater(hazard_of_mortality(X0,X3),hazard_of_mortality(X0,X2))
| hazard_of_mortality(X0,X1) != hazard_of_mortality(X0,X2) )
& organization(X0)
& has_endowment(X0)
& smaller_or_equal(age(X0,X1),age(X0,X2))
& smaller_or_equal(age(X0,X2),eta)
& greater(age(X0,X3),eta)
& greater(age(X0,X4),age(X0,X3)) ),
inference(ennf_transformation,[],[f17]) ).
fof(f21,plain,
? [X0,X1,X2,X3,X4] :
( ( ~ greater(hazard_of_mortality(X0,X4),hazard_of_mortality(X0,X3))
| ~ greater(hazard_of_mortality(X0,X3),hazard_of_mortality(X0,X2))
| hazard_of_mortality(X0,X1) != hazard_of_mortality(X0,X2) )
& organization(X0)
& has_endowment(X0)
& smaller_or_equal(age(X0,X1),age(X0,X2))
& smaller_or_equal(age(X0,X2),eta)
& greater(age(X0,X3),eta)
& greater(age(X0,X4),age(X0,X3)) ),
inference(flattening,[],[f20]) ).
fof(f22,plain,
! [X0,X1,X2] :
( greater(internal_friction(X0,X2),internal_friction(X0,X1))
| ~ organization(X0)
| ~ greater(age(X0,X2),age(X0,X1)) ),
inference(ennf_transformation,[],[f15]) ).
fof(f23,plain,
! [X0,X1,X2] :
( greater(internal_friction(X0,X2),internal_friction(X0,X1))
| ~ organization(X0)
| ~ greater(age(X0,X2),age(X0,X1)) ),
inference(flattening,[],[f22]) ).
fof(f24,plain,
! [X0] :
( ! [X1] :
( organization(X0)
& ( has_immunity(X0,X1)
| ~ smaller_or_equal(age(X0,X1),eta) )
& ( ~ has_immunity(X0,X1)
| ~ greater(age(X0,X1),eta) ) )
| ~ has_endowment(X0) ),
inference(ennf_transformation,[],[f18]) ).
fof(f25,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,[],[f11]) ).
fof(f26,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,[],[f25]) ).
fof(f27,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,[],[f10]) ).
fof(f28,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,[],[f27]) ).
fof(f29,plain,
! [X0,X1,X2] :
( greater(hazard_of_mortality(X0,X2),hazard_of_mortality(X0,X1))
| ~ organization(X0)
| ~ has_immunity(X0,X1)
| has_immunity(X0,X2) ),
inference(ennf_transformation,[],[f9]) ).
fof(f30,plain,
! [X0,X1,X2] :
( greater(hazard_of_mortality(X0,X2),hazard_of_mortality(X0,X1))
| ~ organization(X0)
| ~ has_immunity(X0,X1)
| has_immunity(X0,X2) ),
inference(flattening,[],[f29]) ).
fof(f31,plain,
! [X0,X1,X2] :
( hazard_of_mortality(X0,X1) = hazard_of_mortality(X0,X2)
| ~ organization(X0)
| ~ has_immunity(X0,X1)
| ~ has_immunity(X0,X2) ),
inference(ennf_transformation,[],[f8]) ).
fof(f32,plain,
! [X0,X1,X2] :
( hazard_of_mortality(X0,X1) = hazard_of_mortality(X0,X2)
| ~ organization(X0)
| ~ has_immunity(X0,X1)
| ~ has_immunity(X0,X2) ),
inference(flattening,[],[f31]) ).
fof(f33,plain,
! [X0,X1,X2] :
( greater(X0,X2)
| ~ greater(X0,X1)
| ~ greater(X1,X2) ),
inference(ennf_transformation,[],[f5]) ).
fof(f34,plain,
! [X0,X1,X2] :
( greater(X0,X2)
| ~ greater(X0,X1)
| ~ greater(X1,X2) ),
inference(flattening,[],[f33]) ).
fof(f35,plain,
! [X0,X1] :
( ~ greater(X0,X1)
| ~ greater(X1,X0) ),
inference(ennf_transformation,[],[f4]) ).
fof(f36,plain,
! [X0,X1,X2] :
( stock_of_knowledge(X0,X2) = stock_of_knowledge(X0,X1)
| ~ organization(X0) ),
inference(ennf_transformation,[],[f13]) ).
fof(f37,plain,
! [X0,X1] :
( greater_or_equal(X0,X1)
| ( ~ greater(X0,X1)
& X0 != X1 ) ),
inference(ennf_transformation,[],[f19]) ).
fof(f38,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,[],[f12]) ).
fof(f39,plain,
! [X0,X1,X2] :
( external_ties(X0,X2) = external_ties(X0,X1)
| ~ organization(X0) ),
inference(ennf_transformation,[],[f14]) ).
fof(f40,plain,
( ( ~ greater(hazard_of_mortality(sK0,sK4),hazard_of_mortality(sK0,sK3))
| ~ greater(hazard_of_mortality(sK0,sK3),hazard_of_mortality(sK0,sK2))
| hazard_of_mortality(sK0,sK2) != hazard_of_mortality(sK0,sK1) )
& organization(sK0)
& has_endowment(sK0)
& smaller_or_equal(age(sK0,sK1),age(sK0,sK2))
& smaller_or_equal(age(sK0,sK2),eta)
& greater(age(sK0,sK3),eta)
& greater(age(sK0,sK4),age(sK0,sK3)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3),skolemize(X4,sK4)],[f21]) ).
fof(f41,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(f42,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,[],[f41]) ).
fof(f43,plain,
! [X0,X1] :
( ( smaller(X0,X1)
| ~ greater(X1,X0) )
& ( greater(X1,X0)
| ~ smaller(X0,X1) ) ),
inference(nnf_transformation,[],[f3]) ).
fof(f44,plain,
greater(age(sK0,sK4),age(sK0,sK3)),
inference(cnf_transformation,[],[f40]) ).
fof(f45,plain,
greater(age(sK0,sK3),eta),
inference(cnf_transformation,[],[f40]) ).
fof(f46,plain,
smaller_or_equal(age(sK0,sK2),eta),
inference(cnf_transformation,[],[f40]) ).
fof(f47,plain,
smaller_or_equal(age(sK0,sK1),age(sK0,sK2)),
inference(cnf_transformation,[],[f40]) ).
fof(f48,plain,
has_endowment(sK0),
inference(cnf_transformation,[],[f40]) ).
fof(f49,plain,
organization(sK0),
inference(cnf_transformation,[],[f40]) ).
fof(f50,plain,
( ~ greater(hazard_of_mortality(sK0,sK4),hazard_of_mortality(sK0,sK3))
| ~ greater(hazard_of_mortality(sK0,sK3),hazard_of_mortality(sK0,sK2))
| hazard_of_mortality(sK0,sK2) != hazard_of_mortality(sK0,sK1) ),
inference(cnf_transformation,[],[f40]) ).
fof(f51,plain,
! [X2,X0,X1] :
( ~ greater(age(X0,X2),age(X0,X1))
| ~ organization(X0)
| greater(internal_friction(X0,X2),internal_friction(X0,X1)) ),
inference(cnf_transformation,[],[f23]) ).
fof(f52,plain,
! [X0,X1] :
( ~ greater(age(X0,X1),eta)
| ~ has_immunity(X0,X1)
| ~ has_endowment(X0) ),
inference(cnf_transformation,[],[f24]) ).
fof(f53,plain,
! [X0,X1] :
( ~ smaller_or_equal(age(X0,X1),eta)
| has_immunity(X0,X1)
| ~ has_endowment(X0) ),
inference(cnf_transformation,[],[f24]) ).
fof(f56,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,[],[f26]) ).
fof(f58,plain,
! [X0,X1] :
( ~ smaller_or_equal(X0,X1)
| X0 = X1
| smaller(X0,X1) ),
inference(cnf_transformation,[],[f42]) ).
fof(f59,plain,
! [X0,X1] :
( smaller_or_equal(X0,X1)
| X0 != X1 ),
inference(cnf_transformation,[],[f42]) ).
fof(f60,plain,
! [X0,X1] :
( ~ smaller(X0,X1)
| smaller_or_equal(X0,X1) ),
inference(cnf_transformation,[],[f42]) ).
fof(f63,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,[],[f28]) ).
fof(f64,plain,
! [X2,X0,X1] :
( greater(hazard_of_mortality(X0,X2),hazard_of_mortality(X0,X1))
| ~ organization(X0)
| ~ has_immunity(X0,X1)
| has_immunity(X0,X2) ),
inference(cnf_transformation,[],[f30]) ).
fof(f65,plain,
! [X2,X0,X1] :
( ~ has_immunity(X0,X2)
| ~ organization(X0)
| ~ has_immunity(X0,X1)
| hazard_of_mortality(X0,X1) = hazard_of_mortality(X0,X2) ),
inference(cnf_transformation,[],[f32]) ).
fof(f66,plain,
! [X2,X0,X1] :
( ~ greater(X1,X2)
| ~ greater(X0,X1)
| greater(X0,X2) ),
inference(cnf_transformation,[],[f34]) ).
fof(f67,plain,
! [X0,X1] :
( ~ greater(X1,X0)
| ~ greater(X0,X1) ),
inference(cnf_transformation,[],[f35]) ).
fof(f68,plain,
! [X0,X1] :
( greater(X0,X1)
| X0 = X1
| smaller(X0,X1) ),
inference(cnf_transformation,[],[f6]) ).
fof(f69,plain,
! [X0,X1] :
( ~ smaller(X0,X1)
| greater(X1,X0) ),
inference(cnf_transformation,[],[f43]) ).
fof(f70,plain,
! [X0,X1] :
( ~ greater(X1,X0)
| smaller(X0,X1) ),
inference(cnf_transformation,[],[f43]) ).
fof(f71,plain,
! [X2,X0,X1] :
( ~ organization(X0)
| stock_of_knowledge(X0,X2) = stock_of_knowledge(X0,X1) ),
inference(cnf_transformation,[],[f36]) ).
fof(f72,plain,
! [X0,X1] :
( greater_or_equal(X0,X1)
| X0 != X1 ),
inference(cnf_transformation,[],[f37]) ).
fof(f74,plain,
! [X2,X0,X1] :
( position(X0,X2) = position(X0,X1)
| external_ties(X0,X2) != external_ties(X0,X1)
| ~ organization(X0) ),
inference(cnf_transformation,[],[f38]) ).
fof(f76,plain,
! [X2,X0,X1] :
( ~ organization(X0)
| external_ties(X0,X2) = external_ties(X0,X1) ),
inference(cnf_transformation,[],[f39]) ).
fof(f77,plain,
! [X1] : smaller_or_equal(X1,X1),
inference(equality_resolution,[],[f59]) ).
fof(f78,plain,
! [X1] : greater_or_equal(X1,X1),
inference(equality_resolution,[],[f72]) ).
fof(f79,plain,
! [X2,X0,X1] :
( ~ organization(X0)
| position(X0,X2) = position(X0,X1) ),
inference(forward_subsumption_resolution,[],[f74,f76]) ).
fof(f82,definition,
( spl5_1
<=> hazard_of_mortality(sK0,sK2) = hazard_of_mortality(sK0,sK1) ),
introduced(definition,[new_symbols(definition,[spl5_1])],[avatar_definition]) ).
fof(f83,plain,
( hazard_of_mortality(sK0,sK2) = hazard_of_mortality(sK0,sK1)
| ~ spl5_1 ),
inference(avatar_component_clause,[],[f82]) ).
fof(f84,plain,
( hazard_of_mortality(sK0,sK2) != hazard_of_mortality(sK0,sK1)
| spl5_1 ),
inference(avatar_component_clause,[],[f82]) ).
fof(f86,definition,
( spl5_2
<=> greater(hazard_of_mortality(sK0,sK3),hazard_of_mortality(sK0,sK2)) ),
introduced(definition,[new_symbols(definition,[spl5_2])],[avatar_definition]) ).
fof(f88,plain,
( ~ greater(hazard_of_mortality(sK0,sK3),hazard_of_mortality(sK0,sK2))
| spl5_2 ),
inference(avatar_component_clause,[],[f86]) ).
fof(f90,definition,
( spl5_3
<=> greater(hazard_of_mortality(sK0,sK4),hazard_of_mortality(sK0,sK3)) ),
introduced(definition,[new_symbols(definition,[spl5_3])],[avatar_definition]) ).
fof(f92,plain,
( ~ greater(hazard_of_mortality(sK0,sK4),hazard_of_mortality(sK0,sK3))
| spl5_3 ),
inference(avatar_component_clause,[],[f90]) ).
fof(f93,plain,
( ~ spl5_1
| ~ spl5_2
| ~ spl5_3 ),
inference(avatar_split_clause,[],[f50,f90,f86,f82]) ).
fof(f103,plain,
( eta = age(sK0,sK2)
| smaller(age(sK0,sK2),eta) ),
inference(resolution,[],[f58,f46]) ).
fof(f104,plain,
( age(sK0,sK1) = age(sK0,sK2)
| smaller(age(sK0,sK1),age(sK0,sK2)) ),
inference(resolution,[],[f58,f47]) ).
fof(f107,definition,
( spl5_4
<=> smaller(age(sK0,sK1),age(sK0,sK2)) ),
introduced(definition,[new_symbols(definition,[spl5_4])],[avatar_definition]) ).
fof(f109,plain,
( smaller(age(sK0,sK1),age(sK0,sK2))
| ~ spl5_4 ),
inference(avatar_component_clause,[],[f107]) ).
fof(f111,definition,
( spl5_5
<=> age(sK0,sK1) = age(sK0,sK2) ),
introduced(definition,[new_symbols(definition,[spl5_5])],[avatar_definition]) ).
fof(f113,plain,
( age(sK0,sK1) = age(sK0,sK2)
| ~ spl5_5 ),
inference(avatar_component_clause,[],[f111]) ).
fof(f114,plain,
( spl5_4
| spl5_5 ),
inference(avatar_split_clause,[],[f104,f111,f107]) ).
fof(f116,definition,
( spl5_6
<=> smaller(age(sK0,sK2),eta) ),
introduced(definition,[new_symbols(definition,[spl5_6])],[avatar_definition]) ).
fof(f118,plain,
( smaller(age(sK0,sK2),eta)
| ~ spl5_6 ),
inference(avatar_component_clause,[],[f116]) ).
fof(f120,definition,
( spl5_7
<=> eta = age(sK0,sK2) ),
introduced(definition,[new_symbols(definition,[spl5_7])],[avatar_definition]) ).
fof(f122,plain,
( eta = age(sK0,sK2)
| ~ spl5_7 ),
inference(avatar_component_clause,[],[f120]) ).
fof(f123,plain,
( spl5_6
| spl5_7 ),
inference(avatar_split_clause,[],[f103,f120,f116]) ).
fof(f124,plain,
( greater(eta,age(sK0,sK2))
| ~ spl5_6 ),
inference(resolution,[],[f118,f69]) ).
fof(f126,plain,
! [X0] :
( ~ greater(X0,age(sK0,sK3))
| greater(X0,eta) ),
inference(resolution,[],[f66,f45]) ).
fof(f135,plain,
( ! [X0] :
( greater(X0,age(sK0,sK2))
| ~ greater(X0,eta) )
| ~ spl5_6 ),
inference(resolution,[],[f124,f66]) ).
fof(f139,plain,
! [X0,X1] : stock_of_knowledge(sK0,X0) = stock_of_knowledge(sK0,X1),
inference(resolution,[],[f71,f49]) ).
fof(f142,plain,
! [X0,X1] : position(sK0,X0) = position(sK0,X1),
inference(resolution,[],[f79,f49]) ).
fof(f145,plain,
( ~ has_immunity(sK0,sK3)
| ~ has_endowment(sK0) ),
inference(resolution,[],[f52,f45]) ).
fof(f147,plain,
~ has_immunity(sK0,sK3),
inference(forward_subsumption_resolution,[],[f145,f48]) ).
fof(f148,plain,
( has_immunity(sK0,sK2)
| ~ has_endowment(sK0) ),
inference(resolution,[],[f53,f46]) ).
fof(f149,plain,
has_immunity(sK0,sK2),
inference(forward_subsumption_resolution,[],[f148,f48]) ).
fof(f152,plain,
! [X2,X0,X1] :
( smaller(hazard_of_mortality(X0,X1),hazard_of_mortality(X0,X2))
| ~ has_immunity(X0,X1)
| has_immunity(X0,X2)
| ~ organization(X0) ),
inference(resolution,[],[f64,f70]) ).
fof(f154,plain,
! [X0] :
( ~ organization(sK0)
| ~ has_immunity(sK0,X0)
| hazard_of_mortality(sK0,sK2) = hazard_of_mortality(sK0,X0) ),
inference(resolution,[],[f65,f149]) ).
fof(f155,plain,
! [X0] :
( ~ has_immunity(sK0,X0)
| hazard_of_mortality(sK0,sK2) = hazard_of_mortality(sK0,X0) ),
inference(forward_subsumption_resolution,[],[f154,f49]) ).
fof(f156,plain,
( greater(age(sK0,sK2),age(sK0,sK1))
| ~ spl5_4 ),
inference(resolution,[],[f109,f69]) ).
fof(f158,plain,
( ~ organization(sK0)
| greater(internal_friction(sK0,sK4),internal_friction(sK0,sK3)) ),
inference(resolution,[],[f51,f44]) ).
fof(f160,plain,
greater(internal_friction(sK0,sK4),internal_friction(sK0,sK3)),
inference(forward_subsumption_resolution,[],[f158,f49]) ).
fof(f184,plain,
( ~ smaller_or_equal(stock_of_knowledge(sK0,sK4),stock_of_knowledge(sK0,sK3))
| smaller(capability(sK0,sK4),capability(sK0,sK3))
| ~ organization(sK0) ),
inference(resolution,[],[f160,f56]) ).
fof(f189,plain,
( ~ smaller_or_equal(stock_of_knowledge(sK0,sK4),stock_of_knowledge(sK0,sK3))
| smaller(capability(sK0,sK4),capability(sK0,sK3)) ),
inference(forward_subsumption_resolution,[],[f184,f49]) ).
fof(f191,definition,
( spl5_8
<=> smaller(capability(sK0,sK4),capability(sK0,sK3)) ),
introduced(definition,[new_symbols(definition,[spl5_8])],[avatar_definition]) ).
fof(f193,plain,
( smaller(capability(sK0,sK4),capability(sK0,sK3))
| ~ spl5_8 ),
inference(avatar_component_clause,[],[f191]) ).
fof(f195,definition,
( spl5_9
<=> smaller_or_equal(stock_of_knowledge(sK0,sK4),stock_of_knowledge(sK0,sK3)) ),
introduced(definition,[new_symbols(definition,[spl5_9])],[avatar_definition]) ).
fof(f197,plain,
( ~ smaller_or_equal(stock_of_knowledge(sK0,sK4),stock_of_knowledge(sK0,sK3))
| spl5_9 ),
inference(avatar_component_clause,[],[f195]) ).
fof(f198,plain,
( spl5_8
| ~ spl5_9 ),
inference(avatar_split_clause,[],[f189,f195,f191]) ).
fof(f227,plain,
( ~ greater(age(sK0,sK1),age(sK0,sK2))
| ~ spl5_4 ),
inference(resolution,[],[f156,f67]) ).
fof(f248,plain,
greater(age(sK0,sK4),eta),
inference(resolution,[],[f126,f44]) ).
fof(f249,plain,
( ~ has_immunity(sK0,sK4)
| ~ has_endowment(sK0) ),
inference(resolution,[],[f248,f52]) ).
fof(f254,plain,
~ has_immunity(sK0,sK4),
inference(forward_subsumption_resolution,[],[f249,f48]) ).
fof(f279,plain,
( ! [X0] : ~ smaller_or_equal(stock_of_knowledge(sK0,X0),stock_of_knowledge(sK0,sK3))
| spl5_9 ),
inference(superposition,[],[f197,f139]) ).
fof(f334,plain,
( $false
| spl5_9 ),
inference(resolution,[],[f279,f77]) ).
fof(f339,plain,
spl5_9,
inference(avatar_contradiction_clause,[],[f334]) ).
fof(f340,plain,
( greater(capability(sK0,sK3),capability(sK0,sK4))
| ~ spl5_8 ),
inference(resolution,[],[f193,f69]) ).
fof(f349,plain,
( smaller(hazard_of_mortality(sK0,sK3),hazard_of_mortality(sK0,sK4))
| ~ greater_or_equal(position(sK0,sK3),position(sK0,sK4))
| ~ organization(sK0)
| has_immunity(sK0,sK4)
| has_immunity(sK0,sK3)
| ~ spl5_8 ),
inference(resolution,[],[f340,f63]) ).
fof(f355,plain,
( smaller(hazard_of_mortality(sK0,sK3),hazard_of_mortality(sK0,sK4))
| ~ greater_or_equal(position(sK0,sK3),position(sK0,sK4))
| ~ organization(sK0)
| has_immunity(sK0,sK4)
| ~ spl5_8 ),
inference(forward_subsumption_resolution,[],[f349,f152]) ).
fof(f356,plain,
( smaller(hazard_of_mortality(sK0,sK3),hazard_of_mortality(sK0,sK4))
| ~ greater_or_equal(position(sK0,sK3),position(sK0,sK4))
| has_immunity(sK0,sK4)
| ~ spl5_8 ),
inference(forward_subsumption_resolution,[],[f355,f49]) ).
fof(f357,plain,
( smaller(hazard_of_mortality(sK0,sK3),hazard_of_mortality(sK0,sK4))
| ~ greater_or_equal(position(sK0,sK3),position(sK0,sK4))
| ~ spl5_8 ),
inference(forward_subsumption_resolution,[],[f356,f254]) ).
fof(f359,definition,
( spl5_12
<=> greater_or_equal(position(sK0,sK3),position(sK0,sK4)) ),
introduced(definition,[new_symbols(definition,[spl5_12])],[avatar_definition]) ).
fof(f361,plain,
( ~ greater_or_equal(position(sK0,sK3),position(sK0,sK4))
| spl5_12 ),
inference(avatar_component_clause,[],[f359]) ).
fof(f363,definition,
( spl5_13
<=> smaller(hazard_of_mortality(sK0,sK3),hazard_of_mortality(sK0,sK4)) ),
introduced(definition,[new_symbols(definition,[spl5_13])],[avatar_definition]) ).
fof(f365,plain,
( smaller(hazard_of_mortality(sK0,sK3),hazard_of_mortality(sK0,sK4))
| ~ spl5_13 ),
inference(avatar_component_clause,[],[f363]) ).
fof(f366,plain,
( ~ spl5_12
| spl5_13
| ~ spl5_8 ),
inference(avatar_split_clause,[],[f357,f191,f363,f359]) ).
fof(f544,plain,
( smaller_or_equal(age(sK0,sK1),eta)
| ~ spl5_5 ),
inference(superposition,[],[f46,f113]) ).
fof(f560,plain,
( has_immunity(sK0,sK1)
| ~ has_endowment(sK0)
| ~ spl5_5 ),
inference(resolution,[],[f544,f53]) ).
fof(f562,plain,
( has_immunity(sK0,sK1)
| ~ spl5_5 ),
inference(forward_subsumption_resolution,[],[f560,f48]) ).
fof(f563,plain,
( hazard_of_mortality(sK0,sK2) = hazard_of_mortality(sK0,sK1)
| ~ spl5_5 ),
inference(resolution,[],[f562,f155]) ).
fof(f566,plain,
( $false
| spl5_1
| ~ spl5_5 ),
inference(forward_subsumption_resolution,[],[f563,f84]) ).
fof(f567,plain,
( spl5_1
| ~ spl5_5 ),
inference(avatar_contradiction_clause,[],[f566]) ).
fof(f572,plain,
( ! [X0] :
( ~ greater(X0,age(sK0,sK2))
| greater(X0,age(sK0,sK1)) )
| ~ spl5_4 ),
inference(resolution,[],[f156,f66]) ).
fof(f698,plain,
( ! [X0] : ~ greater_or_equal(position(sK0,X0),position(sK0,sK4))
| spl5_12 ),
inference(superposition,[],[f361,f142]) ).
fof(f832,plain,
( $false
| spl5_12 ),
inference(resolution,[],[f698,f78]) ).
fof(f838,plain,
spl5_12,
inference(avatar_contradiction_clause,[],[f832]) ).
fof(f845,plain,
( ~ greater(age(sK0,sK1),eta)
| ~ spl5_4
| ~ spl5_6 ),
inference(resolution,[],[f135,f227]) ).
fof(f849,plain,
( eta = age(sK0,sK1)
| smaller(age(sK0,sK1),eta)
| ~ spl5_4
| ~ spl5_6 ),
inference(resolution,[],[f845,f68]) ).
fof(f851,definition,
( spl5_28
<=> smaller(age(sK0,sK1),eta) ),
introduced(definition,[new_symbols(definition,[spl5_28])],[avatar_definition]) ).
fof(f853,plain,
( smaller(age(sK0,sK1),eta)
| ~ spl5_28 ),
inference(avatar_component_clause,[],[f851]) ).
fof(f855,definition,
( spl5_29
<=> eta = age(sK0,sK1) ),
introduced(definition,[new_symbols(definition,[spl5_29])],[avatar_definition]) ).
fof(f857,plain,
( eta = age(sK0,sK1)
| ~ spl5_29 ),
inference(avatar_component_clause,[],[f855]) ).
fof(f858,plain,
( spl5_28
| spl5_29
| ~ spl5_4
| ~ spl5_6 ),
inference(avatar_split_clause,[],[f849,f116,f107,f855,f851]) ).
fof(f866,plain,
( smaller(age(sK0,sK1),eta)
| ~ spl5_4
| ~ spl5_7 ),
inference(superposition,[],[f109,f122]) ).
fof(f886,plain,
( spl5_28
| ~ spl5_4
| ~ spl5_7 ),
inference(avatar_split_clause,[],[f866,f120,f107,f851]) ).
fof(f908,plain,
( smaller_or_equal(age(sK0,sK1),eta)
| ~ spl5_28 ),
inference(resolution,[],[f853,f60]) ).
fof(f927,plain,
( greater(eta,age(sK0,sK1))
| ~ spl5_4
| ~ spl5_6 ),
inference(resolution,[],[f572,f124]) ).
fof(f993,plain,
( has_immunity(sK0,sK1)
| ~ has_endowment(sK0)
| ~ spl5_28 ),
inference(resolution,[],[f908,f53]) ).
fof(f995,plain,
( has_immunity(sK0,sK1)
| ~ spl5_28 ),
inference(forward_subsumption_resolution,[],[f993,f48]) ).
fof(f999,plain,
( hazard_of_mortality(sK0,sK2) = hazard_of_mortality(sK0,sK1)
| ~ spl5_28 ),
inference(resolution,[],[f995,f155]) ).
fof(f1002,plain,
( $false
| spl5_1
| ~ spl5_28 ),
inference(forward_subsumption_resolution,[],[f999,f84]) ).
fof(f1003,plain,
( spl5_1
| ~ spl5_28 ),
inference(avatar_contradiction_clause,[],[f1002]) ).
fof(f1004,plain,
( ! [X0] :
( greater(hazard_of_mortality(sK0,X0),hazard_of_mortality(sK0,sK1))
| ~ organization(sK0)
| ~ has_immunity(sK0,sK2)
| has_immunity(sK0,X0) )
| ~ spl5_1 ),
inference(superposition,[],[f64,f83]) ).
fof(f1025,plain,
( ! [X0] :
( greater(hazard_of_mortality(sK0,X0),hazard_of_mortality(sK0,sK1))
| ~ has_immunity(sK0,sK2)
| has_immunity(sK0,X0) )
| ~ spl5_1 ),
inference(forward_subsumption_resolution,[],[f1004,f49]) ).
fof(f1032,plain,
( ! [X0] :
( greater(hazard_of_mortality(sK0,X0),hazard_of_mortality(sK0,sK1))
| has_immunity(sK0,X0) )
| ~ spl5_1 ),
inference(forward_subsumption_resolution,[],[f1025,f149]) ).
fof(f1136,plain,
( greater(hazard_of_mortality(sK0,sK4),hazard_of_mortality(sK0,sK3))
| ~ spl5_13 ),
inference(resolution,[],[f365,f69]) ).
fof(f1140,plain,
( $false
| spl5_3
| ~ spl5_13 ),
inference(forward_subsumption_resolution,[],[f1136,f92]) ).
fof(f1141,plain,
( spl5_3
| ~ spl5_13 ),
inference(avatar_contradiction_clause,[],[f1140]) ).
fof(f1142,plain,
( ~ greater(hazard_of_mortality(sK0,sK3),hazard_of_mortality(sK0,sK1))
| ~ spl5_1
| spl5_2 ),
inference(forward_demodulation,[],[f88,f83]) ).
fof(f1156,plain,
( has_immunity(sK0,sK3)
| ~ spl5_1
| spl5_2 ),
inference(resolution,[],[f1142,f1032]) ).
fof(f1173,plain,
( $false
| ~ spl5_1
| spl5_2 ),
inference(forward_subsumption_resolution,[],[f1156,f147]) ).
fof(f1174,plain,
( ~ spl5_1
| spl5_2 ),
inference(avatar_contradiction_clause,[],[f1173]) ).
fof(f1180,plain,
( greater(eta,eta)
| ~ spl5_4
| ~ spl5_6
| ~ spl5_29 ),
inference(forward_demodulation,[],[f927,f857]) ).
fof(f1189,plain,
( ~ greater(eta,eta)
| ~ spl5_4
| ~ spl5_6
| ~ spl5_29 ),
inference(resolution,[],[f1180,f67]) ).
fof(f1190,plain,
( $false
| ~ spl5_4
| ~ spl5_6
| ~ spl5_29 ),
inference(forward_subsumption_resolution,[],[f1189,f1180]) ).
fof(f1191,plain,
( ~ spl5_4
| ~ spl5_6
| ~ spl5_29 ),
inference(avatar_contradiction_clause,[],[f1190]) ).
cnf(s1,plain,
( ~ spl5_1
| ~ spl5_2
| ~ spl5_3 ),
inference(sat_conversion,[],[f93]) ).
cnf(s2,plain,
( spl5_4
| spl5_5 ),
inference(sat_conversion,[],[f114]) ).
cnf(s3,plain,
( spl5_6
| spl5_7 ),
inference(sat_conversion,[],[f123]) ).
cnf(s4,plain,
( spl5_8
| ~ spl5_9 ),
inference(sat_conversion,[],[f198]) ).
cnf(s6,plain,
spl5_9,
inference(sat_conversion,[],[f339]) ).
cnf(s7,plain,
( ~ spl5_8
| ~ spl5_12
| spl5_13 ),
inference(sat_conversion,[],[f366]) ).
cnf(s19,plain,
( spl5_1
| ~ spl5_5 ),
inference(sat_conversion,[],[f567]) ).
cnf(s25,plain,
spl5_12,
inference(sat_conversion,[],[f838]) ).
cnf(s28,plain,
( ~ spl5_4
| ~ spl5_6
| spl5_28
| spl5_29 ),
inference(sat_conversion,[],[f858]) ).
cnf(s30,plain,
( ~ spl5_4
| ~ spl5_7
| spl5_28 ),
inference(sat_conversion,[],[f886]) ).
cnf(s36,plain,
( spl5_1
| ~ spl5_28 ),
inference(sat_conversion,[],[f1003]) ).
cnf(s38,plain,
( spl5_3
| ~ spl5_13 ),
inference(sat_conversion,[],[f1141]) ).
cnf(s41,plain,
( ~ spl5_1
| spl5_2 ),
inference(sat_conversion,[],[f1174]) ).
cnf(s43,plain,
( ~ spl5_4
| ~ spl5_6
| ~ spl5_29 ),
inference(sat_conversion,[],[f1191]) ).
cnf(s45,plain,
( ~ spl5_8
| spl5_13 ),
inference(rat,[],[s7,s25]) ).
cnf(s48,plain,
spl5_8,
inference(rat,[],[s4,s6]) ).
cnf(s49,plain,
spl5_13,
inference(rat,[],[s45,s48]) ).
cnf(s50,plain,
spl5_3,
inference(rat,[],[s38,s49]) ).
cnf(s51,plain,
( ~ spl5_1
| ~ spl5_2 ),
inference(rat,[],[s1,s50]) ).
cnf(s52,plain,
( ~ spl5_4
| spl5_28 ),
inference(rat,[],[s28,s43,s3,s30]) ).
cnf(s53,plain,
spl5_1,
inference(rat,[],[s52,s2,s19,s36]) ).
cnf(s54,plain,
spl5_2,
inference(rat,[],[s41,s53]) ).
cnf(s55,plain,
$false,
inference(rat,[],[s51,s54,s53]) ).
fof(f1192,plain,
$false,
inference(avatar_sat_refutation,[],[s55]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT051+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.14/0.41 % Computer : n008.cluster.edu
% 0.14/0.41 % Model : x86_64 x86_64
% 0.14/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.41 % Memory : 8046.5625MB
% 0.14/0.41 % OS : Linux 6.8.0-71-generic
% 0.14/0.41 % CPULimit : 300
% 0.14/0.41 % WCLimit : 300
% 0.14/0.41 % DateTime : Sun Sep 27 17:28:54 UTC 2026
% 0.14/0.41 % CPUTime :
% 0.14/0.41 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.14/0.45 Running first-order theorem proving
% 0.14/0.45 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
% 4.20/1.77 % (1481454)Detected formulas, will run a generic FOF schedule.
% 4.20/1.77 % (1481504)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=2565104695:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 4.20/1.77 % (1481506)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=388213880:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 4.20/1.77 % (1481503)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=3934443001:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 4.20/1.77 % (1481508)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2375610814:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 4.20/1.77 % (1481507)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=552892107:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 4.20/1.77 % (1481509)dis-21_1_sil=8000:lcm=predicate:random_seed=3299389749: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)
% 4.20/1.77 % (1481505)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=2983964233:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 4.20/1.77 % (1481506)Refutation not found, incomplete strategy
% 4.20/1.77 % (1481506)------------------------------
% 4.20/1.77 % (1481506)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.20/1.77 % (1481506)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.20/1.77 % (1481506)CaDiCaL version: 2.1.3
% 4.20/1.77 % (1481506)Termination reason: Refutation not found, incomplete strategy
% 4.20/1.77 % (1481506)Time elapsed: 0.004 s
% 4.20/1.77 % (1481506)Peak memory usage: 88 MB
% 4.20/1.77 % (1481506)Instructions burned: 3 (million)
% 4.20/1.77 % (1481507)Instruction limit reached!
% 4.20/1.77 % (1481507)------------------------------
% 4.20/1.77 % (1481507)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.20/1.77 % (1481507)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.20/1.77 % (1481507)CaDiCaL version: 2.1.3
% 4.20/1.77 % (1481507)Termination reason: Instruction limit
% 4.20/1.77 % (1481507)Termination phase: Saturation
% 4.20/1.77 % (1481507)Time elapsed: 0.070 s
% 4.20/1.77 % (1481507)Peak memory usage: 88 MB
% 4.20/1.77 % (1481507)Instructions burned: 119 (million)
% 4.20/1.77 % (1481509)Instruction limit reached!
% 4.20/1.77 % (1481509)------------------------------
% 4.20/1.77 % (1481509)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.20/1.77 % (1481509)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.20/1.77 % (1481509)CaDiCaL version: 2.1.3
% 4.20/1.77 % (1481509)Termination reason: Instruction limit
% 4.20/1.77 % (1481509)Termination phase: Saturation
% 4.20/1.77 % (1481509)Time elapsed: 0.078 s
% 4.20/1.77 % (1481509)Peak memory usage: 89 MB
% 4.20/1.77 % (1481509)Instructions burned: 130 (million)
% 4.20/1.77 % (1481508)Instruction limit reached!
% 4.20/1.77 % (1481508)------------------------------
% 4.20/1.77 % (1481508)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.20/1.77 % (1481508)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.20/1.77 % (1481508)CaDiCaL version: 2.1.3
% 4.20/1.77 % (1481508)Termination reason: Instruction limit
% 4.20/1.77 % (1481508)Termination phase: Saturation
% 4.20/1.77 % (1481508)Time elapsed: 0.094 s
% 4.20/1.77 % (1481508)Peak memory usage: 89 MB
% 4.20/1.77 % (1481508)Instructions burned: 140 (million)
% 4.20/1.77 % (1481506)------------------------------
% 4.20/1.77 % (1481506)------------------------------
% 4.20/1.77 % (1481517)lrs+10_1_sil=8000:sp=occurrence:random_seed=4177615912:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 4.20/1.77 % (1481518)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1835397588:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 4.20/1.77 % (1481518)Refutation not found, incomplete strategy
% 4.20/1.77 % (1481518)------------------------------
% 4.20/1.77 % (1481518)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.20/1.77 % (1481518)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.20/1.77 % (1481518)CaDiCaL version: 2.1.3
% 4.20/1.77 % (1481518)Termination reason: Refutation not found, incomplete strategy
% 4.20/1.77 % (1481518)Time elapsed: 0.006 s
% 4.20/1.77 % (1481518)Peak memory usage: 89 MB
% 4.20/1.77 % (1481518)Instructions burned: 4 (million)
% 4.20/1.77 % (1481523)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3973069903:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 4.20/1.77 % (1481517)First to succeed.
% 4.20/1.77 % (1481517)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1481454"
% 4.20/1.77 % (1481523)Also succeeded, but the first one will report.
% 4.20/1.77 % (1481504)Also succeeded, but the first one will report.
% 4.20/1.77 % (1481536)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=2920066961:s2a=on:i=248:s2at=1.23:gtg=position_2994 on theBenchmark for (2994ds/248Mi)
% 4.20/1.77 % (1481536)Also succeeded, but the first one will report.
% 4.20/1.77 % (1481518)------------------------------
% 4.20/1.77 % (1481518)------------------------------
% 4.20/1.77 % (1481517)Refutation found. Thanks to Tanya!
% 4.20/1.77 % SZS status Theorem for theBenchmark
% 4.20/1.77 % SZS output start Proof for theBenchmark
% See solution above
% 6.73/1.97 % (1481517)------------------------------
% 6.73/1.97 % (1481517)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.73/1.97 % (1481517)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.73/1.97 % (1481517)CaDiCaL version: 2.1.3
% 6.73/1.97 % (1481517)Termination reason: Refutation
% 6.73/1.97 % (1481517)Time elapsed: 0.059 s
% 6.73/1.97 % (1481517)Peak memory usage: 90 MB
% 6.73/1.97 % (1481517)Instructions burned: 53 (million)
% 6.73/1.97 % (1481517)------------------------------
% 6.73/1.97 % (1481517)------------------------------
% 6.73/1.97 % (1481454)Success in time 0.873 s
% 6.73/1.97 % Vampire exiting
%------------------------------------------------------------------------------