%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : MGT034+2 : TPTP v9.3.1. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 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 12:02:36 PM UTC 2026
% Result : Theorem 0.18s 0.48s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 30
% Syntax : Number of formulae : 185 ( 23 unt; 13 def)
% Number of atoms : 531 ( 16 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 628 ( 282 ~; 262 |; 51 &)
% ( 16 <=>; 17 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 22 ( 20 usr; 14 prp; 0-4 aty)
% Number of functors : 11 ( 11 usr; 5 con; 0-2 aty)
% Number of variables : 168 ( 0 sgn 164 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1,X2,X3] :
( ( environment(X0)
& subpopulations(X1,X2,X0,X3)
& greater(growth_rate(X2,X3),growth_rate(X1,X3)) )
=> selection_favors(X2,X1,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp1_high_growth_rates) ).
fof(f2,axiom,
! [X0,X1] :
( ( environment(X0)
& subpopulations(first_movers,efficient_producers,X0,X1) )
=> ~ decreases(difference(disbanding_rate(first_movers,X1),disbanding_rate(efficient_producers,X1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l3) ).
fof(f3,axiom,
! [X0] :
( ( environment(X0)
& in_environment(X0,critical_point(X0)) )
=> subpopulations(first_movers,efficient_producers,X0,critical_point(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_critical_point_means_FM_and_EP) ).
fof(f4,axiom,
! [X0] :
( ( environment(X0)
& in_environment(X0,appear(efficient_producers,X0)) )
=> subpopulations(first_movers,efficient_producers,X0,appear(efficient_producers,X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_FM_and_EP_when_EP_appears) ).
fof(f5,axiom,
! [X0] :
( ( decreases(difference(founding_rate(first_movers,X0),founding_rate(efficient_producers,X0)))
& ~ decreases(difference(disbanding_rate(first_movers,X0),disbanding_rate(efficient_producers,X0))) )
=> decreases(difference(growth_rate(first_movers,X0),growth_rate(efficient_producers,X0))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_difference_between_founding_rates) ).
fof(f6,axiom,
! [X0,X1,X2] :
( ( environment(X0)
& in_environment(X0,X2)
& greater_or_equal(difference(growth_rate(first_movers,X2),growth_rate(efficient_producers,X2)),zero)
& greater_or_equal(X1,appear(efficient_producers,X0))
& greater(X2,X1) )
=> ( decreases(difference(growth_rate(first_movers,X1),growth_rate(efficient_producers,X1)))
=> greater(difference(growth_rate(first_movers,X1),growth_rate(efficient_producers,X1)),zero) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_decreasing_function) ).
fof(f7,axiom,
! [X0] :
( greater(zero,difference(growth_rate(first_movers,X0),growth_rate(efficient_producers,X0)))
<=> greater(growth_rate(efficient_producers,X0),growth_rate(first_movers,X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_negative_growth_rate_difference) ).
fof(f8,axiom,
! [X0] :
( greater(difference(growth_rate(first_movers,X0),growth_rate(efficient_producers,X0)),zero)
<=> greater(growth_rate(first_movers,X0),growth_rate(efficient_producers,X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_positive_growth_rate_difference) ).
fof(f12,axiom,
! [X0,X1] :
( ( environment(X0)
& in_environment(X0,critical_point(X0))
& greater_or_equal(X1,appear(efficient_producers,X0))
& greater(critical_point(X0),X1) )
=> in_environment(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_critical_time_points) ).
fof(f14,axiom,
! [X0,X1] :
( ( environment(X0)
& subpopulations(first_movers,efficient_producers,X0,X1) )
=> subpopulations(efficient_producers,first_movers,X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_symmetry_of_subpopulations) ).
fof(f15,axiom,
! [X0,X1] :
( ( environment(X0)
& subpopulations(first_movers,efficient_producers,X0,X1) )
=> greater_or_equal(X1,appear(efficient_producers,X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_FM_and_EP_members_EP_appeared) ).
fof(f16,axiom,
! [X0,X1] :
( greater_or_equal(X0,X1)
<=> ( greater(X0,X1)
| X0 = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_greater_or_equal) ).
fof(f17,axiom,
! [X0,X1] :
( ( environment(X0)
& subpopulations(first_movers,efficient_producers,X0,X1)
& ~ greater(zero,difference(growth_rate(first_movers,X1),growth_rate(efficient_producers,X1))) )
=> greater_or_equal(difference(growth_rate(first_movers,X1),growth_rate(efficient_producers,X1)),zero) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_relationship_of_growth_rates) ).
fof(f18,axiom,
! [X0,X1] :
( ( environment(X0)
& X1 = critical_point(X0) )
=> ( ~ greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1))
& ! [X2] :
( ( subpopulations(first_movers,efficient_producers,X0,X2)
& greater(X2,X1) )
=> greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1) ).
fof(f19,axiom,
! [X0,X1,X2,X3] :
( ( environment(X0)
& subpopulations(first_movers,efficient_producers,X0,X1)
& subpopulations(first_movers,efficient_producers,X0,X2)
& greater_or_equal(X3,X1)
& greater_or_equal(X2,X3) )
=> subpopulations(first_movers,efficient_producers,X0,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a10) ).
fof(f20,axiom,
! [X0,X1] :
( ( environment(X0)
& subpopulations(first_movers,efficient_producers,X0,X1) )
=> decreases(difference(founding_rate(first_movers,X1),founding_rate(efficient_producers,X1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a12) ).
fof(f21,conjecture,
! [X0,X1] :
( ( environment(X0)
& in_environment(X0,critical_point(X0))
& greater_or_equal(X1,appear(efficient_producers,X0))
& greater(critical_point(X0),X1) )
=> selection_favors(first_movers,efficient_producers,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_t3) ).
fof(f22,negated_conjecture,
~ ! [X0,X1] :
( ( environment(X0)
& in_environment(X0,critical_point(X0))
& greater_or_equal(X1,appear(efficient_producers,X0))
& greater(critical_point(X0),X1) )
=> selection_favors(first_movers,efficient_producers,X1) ),
inference(negated_conjecture,[status(cth)],[f21]) ).
fof(f23,plain,
! [X0,X1,X2,X3] :
( selection_favors(X2,X1,X3)
| ~ environment(X0)
| ~ subpopulations(X1,X2,X0,X3)
| ~ greater(growth_rate(X2,X3),growth_rate(X1,X3)) ),
inference(ennf_transformation,[],[f1]) ).
fof(f24,plain,
! [X0,X1,X2,X3] :
( selection_favors(X2,X1,X3)
| ~ environment(X0)
| ~ subpopulations(X1,X2,X0,X3)
| ~ greater(growth_rate(X2,X3),growth_rate(X1,X3)) ),
inference(flattening,[],[f23]) ).
fof(f25,plain,
! [X0,X1] :
( ~ decreases(difference(disbanding_rate(first_movers,X1),disbanding_rate(efficient_producers,X1)))
| ~ environment(X0)
| ~ subpopulations(first_movers,efficient_producers,X0,X1) ),
inference(ennf_transformation,[],[f2]) ).
fof(f26,plain,
! [X0,X1] :
( ~ decreases(difference(disbanding_rate(first_movers,X1),disbanding_rate(efficient_producers,X1)))
| ~ environment(X0)
| ~ subpopulations(first_movers,efficient_producers,X0,X1) ),
inference(flattening,[],[f25]) ).
fof(f27,plain,
! [X0] :
( subpopulations(first_movers,efficient_producers,X0,critical_point(X0))
| ~ environment(X0)
| ~ in_environment(X0,critical_point(X0)) ),
inference(ennf_transformation,[],[f3]) ).
fof(f28,plain,
! [X0] :
( subpopulations(first_movers,efficient_producers,X0,critical_point(X0))
| ~ environment(X0)
| ~ in_environment(X0,critical_point(X0)) ),
inference(flattening,[],[f27]) ).
fof(f29,plain,
! [X0] :
( subpopulations(first_movers,efficient_producers,X0,appear(efficient_producers,X0))
| ~ environment(X0)
| ~ in_environment(X0,appear(efficient_producers,X0)) ),
inference(ennf_transformation,[],[f4]) ).
fof(f30,plain,
! [X0] :
( subpopulations(first_movers,efficient_producers,X0,appear(efficient_producers,X0))
| ~ environment(X0)
| ~ in_environment(X0,appear(efficient_producers,X0)) ),
inference(flattening,[],[f29]) ).
fof(f31,plain,
! [X0] :
( decreases(difference(growth_rate(first_movers,X0),growth_rate(efficient_producers,X0)))
| ~ decreases(difference(founding_rate(first_movers,X0),founding_rate(efficient_producers,X0)))
| decreases(difference(disbanding_rate(first_movers,X0),disbanding_rate(efficient_producers,X0))) ),
inference(ennf_transformation,[],[f5]) ).
fof(f32,plain,
! [X0] :
( decreases(difference(growth_rate(first_movers,X0),growth_rate(efficient_producers,X0)))
| ~ decreases(difference(founding_rate(first_movers,X0),founding_rate(efficient_producers,X0)))
| decreases(difference(disbanding_rate(first_movers,X0),disbanding_rate(efficient_producers,X0))) ),
inference(flattening,[],[f31]) ).
fof(f33,plain,
! [X0,X1,X2] :
( greater(difference(growth_rate(first_movers,X1),growth_rate(efficient_producers,X1)),zero)
| ~ decreases(difference(growth_rate(first_movers,X1),growth_rate(efficient_producers,X1)))
| ~ environment(X0)
| ~ in_environment(X0,X2)
| ~ greater_or_equal(difference(growth_rate(first_movers,X2),growth_rate(efficient_producers,X2)),zero)
| ~ greater_or_equal(X1,appear(efficient_producers,X0))
| ~ greater(X2,X1) ),
inference(ennf_transformation,[],[f6]) ).
fof(f34,plain,
! [X0,X1,X2] :
( greater(difference(growth_rate(first_movers,X1),growth_rate(efficient_producers,X1)),zero)
| ~ decreases(difference(growth_rate(first_movers,X1),growth_rate(efficient_producers,X1)))
| ~ environment(X0)
| ~ in_environment(X0,X2)
| ~ greater_or_equal(difference(growth_rate(first_movers,X2),growth_rate(efficient_producers,X2)),zero)
| ~ greater_or_equal(X1,appear(efficient_producers,X0))
| ~ greater(X2,X1) ),
inference(flattening,[],[f33]) ).
fof(f39,plain,
! [X0,X1] :
( in_environment(X0,X1)
| ~ environment(X0)
| ~ in_environment(X0,critical_point(X0))
| ~ greater_or_equal(X1,appear(efficient_producers,X0))
| ~ greater(critical_point(X0),X1) ),
inference(ennf_transformation,[],[f12]) ).
fof(f40,plain,
! [X0,X1] :
( in_environment(X0,X1)
| ~ environment(X0)
| ~ in_environment(X0,critical_point(X0))
| ~ greater_or_equal(X1,appear(efficient_producers,X0))
| ~ greater(critical_point(X0),X1) ),
inference(flattening,[],[f39]) ).
fof(f43,plain,
! [X0,X1] :
( subpopulations(efficient_producers,first_movers,X0,X1)
| ~ environment(X0)
| ~ subpopulations(first_movers,efficient_producers,X0,X1) ),
inference(ennf_transformation,[],[f14]) ).
fof(f44,plain,
! [X0,X1] :
( subpopulations(efficient_producers,first_movers,X0,X1)
| ~ environment(X0)
| ~ subpopulations(first_movers,efficient_producers,X0,X1) ),
inference(flattening,[],[f43]) ).
fof(f45,plain,
! [X0,X1] :
( greater_or_equal(X1,appear(efficient_producers,X0))
| ~ environment(X0)
| ~ subpopulations(first_movers,efficient_producers,X0,X1) ),
inference(ennf_transformation,[],[f15]) ).
fof(f46,plain,
! [X0,X1] :
( greater_or_equal(X1,appear(efficient_producers,X0))
| ~ environment(X0)
| ~ subpopulations(first_movers,efficient_producers,X0,X1) ),
inference(flattening,[],[f45]) ).
fof(f47,plain,
! [X0,X1] :
( greater_or_equal(difference(growth_rate(first_movers,X1),growth_rate(efficient_producers,X1)),zero)
| ~ environment(X0)
| ~ subpopulations(first_movers,efficient_producers,X0,X1)
| greater(zero,difference(growth_rate(first_movers,X1),growth_rate(efficient_producers,X1))) ),
inference(ennf_transformation,[],[f17]) ).
fof(f48,plain,
! [X0,X1] :
( greater_or_equal(difference(growth_rate(first_movers,X1),growth_rate(efficient_producers,X1)),zero)
| ~ environment(X0)
| ~ subpopulations(first_movers,efficient_producers,X0,X1)
| greater(zero,difference(growth_rate(first_movers,X1),growth_rate(efficient_producers,X1))) ),
inference(flattening,[],[f47]) ).
fof(f49,plain,
! [X0,X1] :
( ( ~ greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1))
& ! [X2] :
( greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2))
| ~ subpopulations(first_movers,efficient_producers,X0,X2)
| ~ greater(X2,X1) ) )
| ~ environment(X0)
| critical_point(X0) != X1 ),
inference(ennf_transformation,[],[f18]) ).
fof(f50,plain,
! [X0,X1] :
( ( ~ greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1))
& ! [X2] :
( greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2))
| ~ subpopulations(first_movers,efficient_producers,X0,X2)
| ~ greater(X2,X1) ) )
| ~ environment(X0)
| critical_point(X0) != X1 ),
inference(flattening,[],[f49]) ).
fof(f51,plain,
! [X0,X1,X2,X3] :
( subpopulations(first_movers,efficient_producers,X0,X3)
| ~ environment(X0)
| ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ subpopulations(first_movers,efficient_producers,X0,X2)
| ~ greater_or_equal(X3,X1)
| ~ greater_or_equal(X2,X3) ),
inference(ennf_transformation,[],[f19]) ).
fof(f52,plain,
! [X0,X1,X2,X3] :
( subpopulations(first_movers,efficient_producers,X0,X3)
| ~ environment(X0)
| ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ subpopulations(first_movers,efficient_producers,X0,X2)
| ~ greater_or_equal(X3,X1)
| ~ greater_or_equal(X2,X3) ),
inference(flattening,[],[f51]) ).
fof(f53,plain,
! [X0,X1] :
( decreases(difference(founding_rate(first_movers,X1),founding_rate(efficient_producers,X1)))
| ~ environment(X0)
| ~ subpopulations(first_movers,efficient_producers,X0,X1) ),
inference(ennf_transformation,[],[f20]) ).
fof(f54,plain,
! [X0,X1] :
( decreases(difference(founding_rate(first_movers,X1),founding_rate(efficient_producers,X1)))
| ~ environment(X0)
| ~ subpopulations(first_movers,efficient_producers,X0,X1) ),
inference(flattening,[],[f53]) ).
fof(f55,plain,
? [X0,X1] :
( ~ selection_favors(first_movers,efficient_producers,X1)
& environment(X0)
& in_environment(X0,critical_point(X0))
& greater_or_equal(X1,appear(efficient_producers,X0))
& greater(critical_point(X0),X1) ),
inference(ennf_transformation,[],[f22]) ).
fof(f56,plain,
? [X0,X1] :
( ~ selection_favors(first_movers,efficient_producers,X1)
& environment(X0)
& in_environment(X0,critical_point(X0))
& greater_or_equal(X1,appear(efficient_producers,X0))
& greater(critical_point(X0),X1) ),
inference(flattening,[],[f55]) ).
fof(f57,plain,
! [X0] :
( ( greater(zero,difference(growth_rate(first_movers,X0),growth_rate(efficient_producers,X0)))
| ~ greater(growth_rate(efficient_producers,X0),growth_rate(first_movers,X0)) )
& ( greater(growth_rate(efficient_producers,X0),growth_rate(first_movers,X0))
| ~ greater(zero,difference(growth_rate(first_movers,X0),growth_rate(efficient_producers,X0))) ) ),
inference(nnf_transformation,[],[f7]) ).
fof(f58,plain,
! [X0] :
( ( greater(difference(growth_rate(first_movers,X0),growth_rate(efficient_producers,X0)),zero)
| ~ greater(growth_rate(first_movers,X0),growth_rate(efficient_producers,X0)) )
& ( greater(growth_rate(first_movers,X0),growth_rate(efficient_producers,X0))
| ~ greater(difference(growth_rate(first_movers,X0),growth_rate(efficient_producers,X0)),zero) ) ),
inference(nnf_transformation,[],[f8]) ).
fof(f59,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,[],[f16]) ).
fof(f60,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,[],[f59]) ).
fof(f61,plain,
( ~ selection_favors(first_movers,efficient_producers,sK1)
& environment(sK0)
& in_environment(sK0,critical_point(sK0))
& greater_or_equal(sK1,appear(efficient_producers,sK0))
& greater(critical_point(sK0),sK1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X0,sK0),skolemize(X1,sK1)],[f56]) ).
fof(f62,plain,
! [X2,X3,X0,X1] :
( ~ environment(X0)
| selection_favors(X2,X1,X3)
| ~ subpopulations(X1,X2,X0,X3)
| ~ greater(growth_rate(X2,X3),growth_rate(X1,X3)) ),
inference(cnf_transformation,[],[f24]) ).
fof(f63,plain,
! [X0,X1] :
( ~ decreases(difference(disbanding_rate(first_movers,X1),disbanding_rate(efficient_producers,X1)))
| ~ environment(X0)
| ~ subpopulations(first_movers,efficient_producers,X0,X1) ),
inference(cnf_transformation,[],[f26]) ).
fof(f64,plain,
! [X0] :
( ~ environment(X0)
| subpopulations(first_movers,efficient_producers,X0,critical_point(X0))
| ~ in_environment(X0,critical_point(X0)) ),
inference(cnf_transformation,[],[f28]) ).
fof(f65,plain,
! [X0] :
( ~ environment(X0)
| subpopulations(first_movers,efficient_producers,X0,appear(efficient_producers,X0))
| ~ in_environment(X0,appear(efficient_producers,X0)) ),
inference(cnf_transformation,[],[f30]) ).
fof(f66,plain,
! [X0] :
( ~ decreases(difference(founding_rate(first_movers,X0),founding_rate(efficient_producers,X0)))
| decreases(difference(growth_rate(first_movers,X0),growth_rate(efficient_producers,X0)))
| decreases(difference(disbanding_rate(first_movers,X0),disbanding_rate(efficient_producers,X0))) ),
inference(cnf_transformation,[],[f32]) ).
fof(f67,plain,
! [X2,X0,X1] :
( ~ decreases(difference(growth_rate(first_movers,X1),growth_rate(efficient_producers,X1)))
| greater(difference(growth_rate(first_movers,X1),growth_rate(efficient_producers,X1)),zero)
| ~ environment(X0)
| ~ in_environment(X0,X2)
| ~ greater_or_equal(difference(growth_rate(first_movers,X2),growth_rate(efficient_producers,X2)),zero)
| ~ greater_or_equal(X1,appear(efficient_producers,X0))
| ~ greater(X2,X1) ),
inference(cnf_transformation,[],[f34]) ).
fof(f68,plain,
! [X0] :
( ~ greater(zero,difference(growth_rate(first_movers,X0),growth_rate(efficient_producers,X0)))
| greater(growth_rate(efficient_producers,X0),growth_rate(first_movers,X0)) ),
inference(cnf_transformation,[],[f57]) ).
fof(f70,plain,
! [X0] :
( ~ greater(difference(growth_rate(first_movers,X0),growth_rate(efficient_producers,X0)),zero)
| greater(growth_rate(first_movers,X0),growth_rate(efficient_producers,X0)) ),
inference(cnf_transformation,[],[f58]) ).
fof(f75,plain,
! [X0,X1] :
( ~ environment(X0)
| in_environment(X0,X1)
| ~ in_environment(X0,critical_point(X0))
| ~ greater_or_equal(X1,appear(efficient_producers,X0))
| ~ greater(critical_point(X0),X1) ),
inference(cnf_transformation,[],[f40]) ).
fof(f77,plain,
! [X0,X1] :
( ~ environment(X0)
| subpopulations(efficient_producers,first_movers,X0,X1)
| ~ subpopulations(first_movers,efficient_producers,X0,X1) ),
inference(cnf_transformation,[],[f44]) ).
fof(f78,plain,
! [X0,X1] :
( ~ environment(X0)
| greater_or_equal(X1,appear(efficient_producers,X0))
| ~ subpopulations(first_movers,efficient_producers,X0,X1) ),
inference(cnf_transformation,[],[f46]) ).
fof(f79,plain,
! [X0,X1] :
( ~ greater_or_equal(X0,X1)
| X0 = X1
| greater(X0,X1) ),
inference(cnf_transformation,[],[f60]) ).
fof(f80,plain,
! [X0,X1] :
( X0 != X1
| greater_or_equal(X0,X1) ),
inference(cnf_transformation,[],[f60]) ).
fof(f81,plain,
! [X0,X1] :
( ~ greater(X0,X1)
| greater_or_equal(X0,X1) ),
inference(cnf_transformation,[],[f60]) ).
fof(f82,plain,
! [X0,X1] :
( ~ environment(X0)
| greater_or_equal(difference(growth_rate(first_movers,X1),growth_rate(efficient_producers,X1)),zero)
| ~ subpopulations(first_movers,efficient_producers,X0,X1)
| greater(zero,difference(growth_rate(first_movers,X1),growth_rate(efficient_producers,X1))) ),
inference(cnf_transformation,[],[f48]) ).
fof(f84,plain,
! [X0,X1] :
( ~ environment(X0)
| ~ greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1))
| critical_point(X0) != X1 ),
inference(cnf_transformation,[],[f50]) ).
fof(f85,plain,
! [X2,X3,X0,X1] :
( ~ environment(X0)
| subpopulations(first_movers,efficient_producers,X0,X3)
| ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ subpopulations(first_movers,efficient_producers,X0,X2)
| ~ greater_or_equal(X3,X1)
| ~ greater_or_equal(X2,X3) ),
inference(cnf_transformation,[],[f52]) ).
fof(f86,plain,
! [X0,X1] :
( ~ environment(X0)
| decreases(difference(founding_rate(first_movers,X1),founding_rate(efficient_producers,X1)))
| ~ subpopulations(first_movers,efficient_producers,X0,X1) ),
inference(cnf_transformation,[],[f54]) ).
fof(f87,plain,
greater(critical_point(sK0),sK1),
inference(cnf_transformation,[],[f61]) ).
fof(f88,plain,
greater_or_equal(sK1,appear(efficient_producers,sK0)),
inference(cnf_transformation,[],[f61]) ).
fof(f89,plain,
in_environment(sK0,critical_point(sK0)),
inference(cnf_transformation,[],[f61]) ).
fof(f90,plain,
environment(sK0),
inference(cnf_transformation,[],[f61]) ).
fof(f91,plain,
~ selection_favors(first_movers,efficient_producers,sK1),
inference(cnf_transformation,[],[f61]) ).
fof(f93,plain,
! [X0] : greater_or_equal(X0,X0),
inference(equality_resolution,[],[f80]) ).
fof(f94,plain,
greater_or_equal(critical_point(sK0),sK1),
inference(resolution,[],[f81,f87]) ).
fof(f122,plain,
( subpopulations(first_movers,efficient_producers,sK0,critical_point(sK0))
| ~ in_environment(sK0,critical_point(sK0)) ),
inference(resolution,[],[f64,f90]) ).
fof(f123,plain,
subpopulations(first_movers,efficient_producers,sK0,critical_point(sK0)),
inference(forward_subsumption_resolution,[],[f122,f89]) ).
fof(f124,plain,
! [X0] :
( ~ subpopulations(first_movers,efficient_producers,sK0,X0)
| subpopulations(efficient_producers,first_movers,sK0,X0) ),
inference(resolution,[],[f77,f90]) ).
fof(f126,plain,
! [X0] :
( ~ subpopulations(first_movers,efficient_producers,sK0,X0)
| greater_or_equal(X0,appear(efficient_producers,sK0)) ),
inference(resolution,[],[f78,f90]) ).
fof(f128,plain,
! [X0] :
( ~ greater(growth_rate(efficient_producers,X0),growth_rate(first_movers,X0))
| critical_point(sK0) != X0 ),
inference(resolution,[],[f84,f90]) ).
fof(f129,plain,
( subpopulations(first_movers,efficient_producers,sK0,appear(efficient_producers,sK0))
| ~ in_environment(sK0,appear(efficient_producers,sK0)) ),
inference(resolution,[],[f65,f90]) ).
fof(f131,definition,
( spl2_5
<=> in_environment(sK0,appear(efficient_producers,sK0)) ),
introduced(definition,[new_symbols(definition,[spl2_5])],[avatar_definition]) ).
fof(f133,plain,
( ~ in_environment(sK0,appear(efficient_producers,sK0))
| spl2_5 ),
inference(avatar_component_clause,[],[f131]) ).
fof(f135,definition,
( spl2_6
<=> subpopulations(first_movers,efficient_producers,sK0,appear(efficient_producers,sK0)) ),
introduced(definition,[new_symbols(definition,[spl2_6])],[avatar_definition]) ).
fof(f136,plain,
( ~ subpopulations(first_movers,efficient_producers,sK0,appear(efficient_producers,sK0))
| spl2_6 ),
inference(avatar_component_clause,[],[f135]) ).
fof(f137,plain,
( subpopulations(first_movers,efficient_producers,sK0,appear(efficient_producers,sK0))
| ~ spl2_6 ),
inference(avatar_component_clause,[],[f135]) ).
fof(f138,plain,
( ~ spl2_5
| spl2_6 ),
inference(avatar_split_clause,[],[f129,f135,f131]) ).
fof(f139,plain,
! [X0] :
( ~ subpopulations(first_movers,efficient_producers,sK0,X0)
| decreases(difference(founding_rate(first_movers,X0),founding_rate(efficient_producers,X0))) ),
inference(resolution,[],[f86,f90]) ).
fof(f142,plain,
greater_or_equal(critical_point(sK0),appear(efficient_producers,sK0)),
inference(resolution,[],[f126,f123]) ).
fof(f145,plain,
! [X2,X0,X1] :
( ~ greater(growth_rate(X0,X2),growth_rate(X1,X2))
| ~ subpopulations(X1,X0,sK0,X2)
| selection_favors(X0,X1,X2) ),
inference(resolution,[],[f62,f90]) ).
fof(f159,plain,
! [X0] :
( in_environment(sK0,X0)
| ~ in_environment(sK0,critical_point(sK0))
| ~ greater_or_equal(X0,appear(efficient_producers,sK0))
| ~ greater(critical_point(sK0),X0) ),
inference(resolution,[],[f75,f90]) ).
fof(f160,plain,
! [X0] :
( ~ greater_or_equal(X0,appear(efficient_producers,sK0))
| in_environment(sK0,X0)
| ~ greater(critical_point(sK0),X0) ),
inference(forward_subsumption_resolution,[],[f159,f89]) ).
fof(f163,plain,
( in_environment(sK0,appear(efficient_producers,sK0))
| ~ greater(critical_point(sK0),appear(efficient_producers,sK0)) ),
inference(resolution,[],[f160,f93]) ).
fof(f187,plain,
! [X2,X0,X1] :
( ~ greater_or_equal(X0,X1)
| ~ subpopulations(first_movers,efficient_producers,sK0,X1)
| ~ subpopulations(first_movers,efficient_producers,sK0,X2)
| subpopulations(first_movers,efficient_producers,sK0,X0)
| ~ greater_or_equal(X2,X0) ),
inference(resolution,[],[f85,f90]) ).
fof(f199,plain,
! [X0] :
( ~ subpopulations(first_movers,efficient_producers,sK0,X0)
| greater_or_equal(difference(growth_rate(first_movers,X0),growth_rate(efficient_producers,X0)),zero)
| greater(zero,difference(growth_rate(first_movers,X0),growth_rate(efficient_producers,X0))) ),
inference(resolution,[],[f82,f90]) ).
fof(f202,plain,
( critical_point(sK0) = appear(efficient_producers,sK0)
| greater(critical_point(sK0),appear(efficient_producers,sK0)) ),
inference(resolution,[],[f142,f79]) ).
fof(f204,definition,
( spl2_12
<=> greater(critical_point(sK0),appear(efficient_producers,sK0)) ),
introduced(definition,[new_symbols(definition,[spl2_12])],[avatar_definition]) ).
fof(f206,plain,
( greater(critical_point(sK0),appear(efficient_producers,sK0))
| ~ spl2_12 ),
inference(avatar_component_clause,[],[f204]) ).
fof(f208,definition,
( spl2_13
<=> critical_point(sK0) = appear(efficient_producers,sK0) ),
introduced(definition,[new_symbols(definition,[spl2_13])],[avatar_definition]) ).
fof(f210,plain,
( critical_point(sK0) = appear(efficient_producers,sK0)
| ~ spl2_13 ),
inference(avatar_component_clause,[],[f208]) ).
fof(f211,plain,
( spl2_12
| spl2_13 ),
inference(avatar_split_clause,[],[f202,f208,f204]) ).
fof(f229,definition,
( spl2_16
<=> subpopulations(first_movers,efficient_producers,sK0,sK1) ),
introduced(definition,[new_symbols(definition,[spl2_16])],[avatar_definition]) ).
fof(f231,plain,
( subpopulations(first_movers,efficient_producers,sK0,sK1)
| ~ spl2_16 ),
inference(avatar_component_clause,[],[f229]) ).
fof(f271,definition,
( spl2_24
<=> greater(growth_rate(efficient_producers,critical_point(sK0)),growth_rate(first_movers,critical_point(sK0))) ),
introduced(definition,[new_symbols(definition,[spl2_24])],[avatar_definition]) ).
fof(f273,plain,
( greater(growth_rate(efficient_producers,critical_point(sK0)),growth_rate(first_movers,critical_point(sK0)))
| ~ spl2_24 ),
inference(avatar_component_clause,[],[f271]) ).
fof(f284,plain,
! [X0] :
( ~ subpopulations(first_movers,efficient_producers,sK0,appear(efficient_producers,sK0))
| ~ subpopulations(first_movers,efficient_producers,sK0,X0)
| subpopulations(first_movers,efficient_producers,sK0,sK1)
| ~ greater_or_equal(X0,sK1) ),
inference(resolution,[],[f187,f88]) ).
fof(f285,plain,
( ! [X0] :
( ~ subpopulations(first_movers,efficient_producers,sK0,X0)
| subpopulations(first_movers,efficient_producers,sK0,sK1)
| ~ greater_or_equal(X0,sK1) )
| ~ spl2_6 ),
inference(forward_subsumption_resolution,[],[f284,f137]) ).
fof(f288,definition,
( spl2_26
<=> ! [X0] :
( ~ subpopulations(first_movers,efficient_producers,sK0,X0)
| ~ greater_or_equal(X0,sK1) ) ),
introduced(definition,[new_symbols(definition,[spl2_26])],[avatar_definition]) ).
fof(f289,plain,
( ! [X0] :
( ~ greater_or_equal(X0,sK1)
| ~ subpopulations(first_movers,efficient_producers,sK0,X0) )
| ~ spl2_26 ),
inference(avatar_component_clause,[],[f288]) ).
fof(f290,plain,
( spl2_16
| spl2_26
| ~ spl2_6 ),
inference(avatar_split_clause,[],[f285,f135,f288,f229]) ).
fof(f297,plain,
( subpopulations(efficient_producers,first_movers,sK0,sK1)
| ~ spl2_16 ),
inference(resolution,[],[f231,f124]) ).
fof(f298,plain,
( greater_or_equal(difference(growth_rate(first_movers,critical_point(sK0)),growth_rate(efficient_producers,critical_point(sK0))),zero)
| greater(zero,difference(growth_rate(first_movers,critical_point(sK0)),growth_rate(efficient_producers,critical_point(sK0)))) ),
inference(resolution,[],[f199,f123]) ).
fof(f320,definition,
( spl2_32
<=> greater(zero,difference(growth_rate(first_movers,critical_point(sK0)),growth_rate(efficient_producers,critical_point(sK0)))) ),
introduced(definition,[new_symbols(definition,[spl2_32])],[avatar_definition]) ).
fof(f322,plain,
( greater(zero,difference(growth_rate(first_movers,critical_point(sK0)),growth_rate(efficient_producers,critical_point(sK0))))
| ~ spl2_32 ),
inference(avatar_component_clause,[],[f320]) ).
fof(f324,definition,
( spl2_33
<=> greater_or_equal(difference(growth_rate(first_movers,critical_point(sK0)),growth_rate(efficient_producers,critical_point(sK0))),zero) ),
introduced(definition,[new_symbols(definition,[spl2_33])],[avatar_definition]) ).
fof(f326,plain,
( greater_or_equal(difference(growth_rate(first_movers,critical_point(sK0)),growth_rate(efficient_producers,critical_point(sK0))),zero)
| ~ spl2_33 ),
inference(avatar_component_clause,[],[f324]) ).
fof(f327,plain,
( spl2_32
| spl2_33 ),
inference(avatar_split_clause,[],[f298,f324,f320]) ).
fof(f329,plain,
( ~ subpopulations(first_movers,efficient_producers,sK0,critical_point(sK0))
| ~ spl2_26 ),
inference(resolution,[],[f289,f94]) ).
fof(f330,plain,
( $false
| ~ spl2_26 ),
inference(forward_subsumption_resolution,[],[f329,f123]) ).
fof(f331,plain,
~ spl2_26,
inference(avatar_contradiction_clause,[],[f330]) ).
fof(f332,plain,
( ~ greater(critical_point(sK0),appear(efficient_producers,sK0))
| spl2_5 ),
inference(forward_subsumption_resolution,[],[f163,f133]) ).
fof(f333,plain,
( $false
| spl2_5
| ~ spl2_12 ),
inference(forward_subsumption_resolution,[],[f332,f206]) ).
fof(f334,plain,
( spl2_5
| ~ spl2_12 ),
inference(avatar_contradiction_clause,[],[f333]) ).
fof(f339,plain,
( subpopulations(first_movers,efficient_producers,sK0,appear(efficient_producers,sK0))
| ~ spl2_13 ),
inference(superposition,[],[f123,f210]) ).
fof(f344,plain,
( $false
| spl2_6
| ~ spl2_13 ),
inference(forward_subsumption_resolution,[],[f339,f136]) ).
fof(f345,plain,
( spl2_6
| ~ spl2_13 ),
inference(avatar_contradiction_clause,[],[f344]) ).
fof(f352,plain,
( decreases(difference(founding_rate(first_movers,sK1),founding_rate(efficient_producers,sK1)))
| ~ spl2_16 ),
inference(resolution,[],[f231,f139]) ).
fof(f361,plain,
( greater(growth_rate(efficient_producers,critical_point(sK0)),growth_rate(first_movers,critical_point(sK0)))
| ~ spl2_32 ),
inference(resolution,[],[f322,f68]) ).
fof(f377,plain,
( spl2_24
| ~ spl2_32 ),
inference(avatar_split_clause,[],[f361,f320,f271]) ).
fof(f392,plain,
( decreases(difference(growth_rate(first_movers,sK1),growth_rate(efficient_producers,sK1)))
| decreases(difference(disbanding_rate(first_movers,sK1),disbanding_rate(efficient_producers,sK1)))
| ~ spl2_16 ),
inference(resolution,[],[f352,f66]) ).
fof(f394,definition,
( spl2_39
<=> decreases(difference(disbanding_rate(first_movers,sK1),disbanding_rate(efficient_producers,sK1))) ),
introduced(definition,[new_symbols(definition,[spl2_39])],[avatar_definition]) ).
fof(f396,plain,
( decreases(difference(disbanding_rate(first_movers,sK1),disbanding_rate(efficient_producers,sK1)))
| ~ spl2_39 ),
inference(avatar_component_clause,[],[f394]) ).
fof(f398,definition,
( spl2_40
<=> decreases(difference(growth_rate(first_movers,sK1),growth_rate(efficient_producers,sK1))) ),
introduced(definition,[new_symbols(definition,[spl2_40])],[avatar_definition]) ).
fof(f400,plain,
( decreases(difference(growth_rate(first_movers,sK1),growth_rate(efficient_producers,sK1)))
| ~ spl2_40 ),
inference(avatar_component_clause,[],[f398]) ).
fof(f401,plain,
( spl2_39
| spl2_40
| ~ spl2_16 ),
inference(avatar_split_clause,[],[f392,f229,f398,f394]) ).
fof(f466,plain,
( ! [X0,X1] :
( greater(difference(growth_rate(first_movers,sK1),growth_rate(efficient_producers,sK1)),zero)
| ~ environment(X0)
| ~ in_environment(X0,X1)
| ~ greater_or_equal(difference(growth_rate(first_movers,X1),growth_rate(efficient_producers,X1)),zero)
| ~ greater_or_equal(sK1,appear(efficient_producers,X0))
| ~ greater(X1,sK1) )
| ~ spl2_40 ),
inference(resolution,[],[f400,f67]) ).
fof(f468,definition,
( spl2_53
<=> ! [X0,X1] :
( ~ environment(X0)
| ~ greater(X1,sK1)
| ~ greater_or_equal(sK1,appear(efficient_producers,X0))
| ~ greater_or_equal(difference(growth_rate(first_movers,X1),growth_rate(efficient_producers,X1)),zero)
| ~ in_environment(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[spl2_53])],[avatar_definition]) ).
fof(f469,plain,
( ! [X0,X1] :
( ~ environment(X0)
| ~ greater(X1,sK1)
| ~ greater_or_equal(sK1,appear(efficient_producers,X0))
| ~ greater_or_equal(difference(growth_rate(first_movers,X1),growth_rate(efficient_producers,X1)),zero)
| ~ in_environment(X0,X1) )
| ~ spl2_53 ),
inference(avatar_component_clause,[],[f468]) ).
fof(f471,definition,
( spl2_54
<=> greater(difference(growth_rate(first_movers,sK1),growth_rate(efficient_producers,sK1)),zero) ),
introduced(definition,[new_symbols(definition,[spl2_54])],[avatar_definition]) ).
fof(f473,plain,
( greater(difference(growth_rate(first_movers,sK1),growth_rate(efficient_producers,sK1)),zero)
| ~ spl2_54 ),
inference(avatar_component_clause,[],[f471]) ).
fof(f474,plain,
( spl2_53
| spl2_54
| ~ spl2_40 ),
inference(avatar_split_clause,[],[f466,f398,f471,f468]) ).
fof(f484,plain,
( critical_point(sK0) != critical_point(sK0)
| ~ spl2_24 ),
inference(resolution,[],[f273,f128]) ).
fof(f489,plain,
( $false
| ~ spl2_24 ),
inference(trivial_inequality_removal,[],[f484]) ).
fof(f490,plain,
~ spl2_24,
inference(avatar_contradiction_clause,[],[f489]) ).
fof(f583,plain,
( greater(growth_rate(first_movers,sK1),growth_rate(efficient_producers,sK1))
| ~ spl2_54 ),
inference(resolution,[],[f473,f70]) ).
fof(f624,plain,
( ~ subpopulations(efficient_producers,first_movers,sK0,sK1)
| selection_favors(first_movers,efficient_producers,sK1)
| ~ spl2_54 ),
inference(resolution,[],[f583,f145]) ).
fof(f640,plain,
( selection_favors(first_movers,efficient_producers,sK1)
| ~ spl2_16
| ~ spl2_54 ),
inference(forward_subsumption_resolution,[],[f624,f297]) ).
fof(f641,plain,
( $false
| ~ spl2_16
| ~ spl2_54 ),
inference(forward_subsumption_resolution,[],[f640,f91]) ).
fof(f642,plain,
( ~ spl2_16
| ~ spl2_54 ),
inference(avatar_contradiction_clause,[],[f641]) ).
fof(f644,plain,
( ! [X0] :
( ~ environment(X0)
| ~ subpopulations(first_movers,efficient_producers,X0,sK1) )
| ~ spl2_39 ),
inference(resolution,[],[f396,f63]) ).
fof(f645,plain,
( ~ subpopulations(first_movers,efficient_producers,sK0,sK1)
| ~ spl2_39 ),
inference(resolution,[],[f644,f90]) ).
fof(f646,plain,
( $false
| ~ spl2_16
| ~ spl2_39 ),
inference(forward_subsumption_resolution,[],[f645,f231]) ).
fof(f647,plain,
( ~ spl2_16
| ~ spl2_39 ),
inference(avatar_contradiction_clause,[],[f646]) ).
fof(f680,plain,
( ! [X0] :
( ~ greater(X0,sK1)
| ~ greater_or_equal(sK1,appear(efficient_producers,sK0))
| ~ greater_or_equal(difference(growth_rate(first_movers,X0),growth_rate(efficient_producers,X0)),zero)
| ~ in_environment(sK0,X0) )
| ~ spl2_53 ),
inference(resolution,[],[f469,f90]) ).
fof(f681,plain,
( ! [X0] :
( ~ greater_or_equal(difference(growth_rate(first_movers,X0),growth_rate(efficient_producers,X0)),zero)
| ~ greater(X0,sK1)
| ~ in_environment(sK0,X0) )
| ~ spl2_53 ),
inference(forward_subsumption_resolution,[],[f680,f88]) ).
fof(f682,plain,
( ~ greater(critical_point(sK0),sK1)
| ~ in_environment(sK0,critical_point(sK0))
| ~ spl2_33
| ~ spl2_53 ),
inference(resolution,[],[f681,f326]) ).
fof(f689,plain,
( ~ in_environment(sK0,critical_point(sK0))
| ~ spl2_33
| ~ spl2_53 ),
inference(forward_subsumption_resolution,[],[f682,f87]) ).
fof(f691,plain,
( $false
| ~ spl2_33
| ~ spl2_53 ),
inference(forward_subsumption_resolution,[],[f689,f89]) ).
fof(f692,plain,
( ~ spl2_33
| ~ spl2_53 ),
inference(avatar_contradiction_clause,[],[f691]) ).
cnf(s3,plain,
( ~ spl2_5
| spl2_6 ),
inference(sat_conversion,[],[f138]) ).
cnf(s10,plain,
( spl2_12
| spl2_13 ),
inference(sat_conversion,[],[f211]) ).
cnf(s17,plain,
( ~ spl2_6
| spl2_16
| spl2_26 ),
inference(sat_conversion,[],[f290]) ).
cnf(s21,plain,
( spl2_32
| spl2_33 ),
inference(sat_conversion,[],[f327]) ).
cnf(s22,plain,
~ spl2_26,
inference(sat_conversion,[],[f331]) ).
cnf(s23,plain,
( spl2_5
| ~ spl2_12 ),
inference(sat_conversion,[],[f334]) ).
cnf(s24,plain,
( spl2_6
| ~ spl2_13 ),
inference(sat_conversion,[],[f345]) ).
cnf(s28,plain,
( spl2_24
| ~ spl2_32 ),
inference(sat_conversion,[],[f377]) ).
cnf(s30,plain,
( ~ spl2_16
| spl2_39
| spl2_40 ),
inference(sat_conversion,[],[f401]) ).
cnf(s37,plain,
( ~ spl2_40
| spl2_53
| spl2_54 ),
inference(sat_conversion,[],[f474]) ).
cnf(s39,plain,
~ spl2_24,
inference(sat_conversion,[],[f490]) ).
cnf(s53,plain,
( ~ spl2_16
| ~ spl2_54 ),
inference(sat_conversion,[],[f642]) ).
cnf(s54,plain,
( ~ spl2_16
| ~ spl2_39 ),
inference(sat_conversion,[],[f647]) ).
cnf(s60,plain,
( ~ spl2_33
| ~ spl2_53 ),
inference(sat_conversion,[],[f692]) ).
cnf(s61,plain,
~ spl2_32,
inference(rat,[],[s28,s39]) ).
cnf(s62,plain,
spl2_33,
inference(rat,[],[s21,s61]) ).
cnf(s63,plain,
~ spl2_53,
inference(rat,[],[s60,s62]) ).
cnf(s64,plain,
( ~ spl2_6
| spl2_16 ),
inference(rat,[],[s17,s22]) ).
cnf(s69,plain,
~ spl2_16,
inference(rat,[],[s37,s30,s53,s54,s63]) ).
cnf(s70,plain,
~ spl2_6,
inference(rat,[],[s64,s69]) ).
cnf(s71,plain,
~ spl2_13,
inference(rat,[],[s24,s70]) ).
cnf(s72,plain,
~ spl2_5,
inference(rat,[],[s3,s70]) ).
cnf(s73,plain,
spl2_12,
inference(rat,[],[s10,s71]) ).
cnf(s76,plain,
$false,
inference(rat,[],[s23,s73,s72]) ).
fof(f693,plain,
$false,
inference(avatar_sat_refutation,[],[s76]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT034+2 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.13/0.38 % Computer : n008.cluster.edu
% 0.13/0.38 % Model : x86_64 x86_64
% 0.13/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.38 % Memory : 8046.5625MB
% 0.13/0.38 % OS : Linux 6.8.0-71-generic
% 0.13/0.38 % CPULimit : 300
% 0.13/0.38 % WCLimit : 300
% 0.13/0.38 % DateTime : Sun Sep 27 17:22:55 UTC 2026
% 0.13/0.38 % CPUTime :
% 0.13/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.13/0.42 Running first-order model finding
% 0.13/0.42 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.48 % (1479471)Will run a generic schedule for satisfiability detection.
% 0.18/0.48 % (1479476)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=4286391402_2999 on theBenchmark for (2999ds/0Mi)
% 0.18/0.48 % (1479477)% WARNING: option uhcvi not known.
% 0.18/0.48 % TRYING [1]
% 0.18/0.48 % TRYING [2]
% 0.18/0.48 % (1479477)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=4016724834:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.18/0.48 % (1479478)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1084619970:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.18/0.48 % (1479479)dis+10_1_sil=32000:sp=arity:random_seed=324939751:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.18/0.48 % (1479482)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3506301288:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.18/0.48 % (1479480)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=83700619:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.18/0.48 % TRYING [3]
% 0.18/0.48 % (1479481)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2369580201:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.18/0.48 % (1479481) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1479471-1479481"...
% 0.18/0.48 % (1479481)...printing done.
% 0.18/0.48 % (1479481)Refutation found. Thanks to Tanya!
% 0.18/0.48 % SZS status Theorem for theBenchmark
% 0.18/0.48 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.48 % (1479481)------------------------------
% 0.18/0.48 % (1479481)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.18/0.48 % (1479481)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/0.48 % (1479481)CaDiCaL version: 2.1.3
% 0.18/0.48 % (1479481)Termination reason: Refutation
% 0.18/0.48 % (1479481)Time elapsed: 0.015 s
% 0.18/0.48 % (1479481)Peak memory usage: 12 MB
% 0.18/0.48 % (1479481)Instructions burned: 19 (million)
% 0.18/0.48 % (1479471)Success in time 0.052 s
% 0.18/0.48 % Vampire exiting
%------------------------------------------------------------------------------