%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : MGT025+1 : 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 : n001.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 12:02:33 PM UTC 2026
% Result : Theorem 0.10s 0.45s
% Output : Refutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 20
% Syntax : Number of formulae : 204 ( 23 unt; 13 def)
% Number of atoms : 686 ( 51 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 737 ( 255 ~; 398 |; 59 &)
% ( 13 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 23 ( 21 usr; 14 prp; 0-4 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-2 aty)
% Number of variables : 144 ( 0 sgn 140 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1,X2] :
( ( environment(X0)
& subpopulation(X1,X0,X2)
& ( greater(cardinality_at_time(X1,X2),zero)
=> ( X1 = efficient_producers
| X1 = first_movers ) ) )
=> number_of_organizations(X0,X2) = sum(cardinality_at_time(first_movers,X2),cardinality_at_time(efficient_producers,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_only_members) ).
fof(f2,axiom,
! [X0,X1] :
( ( environment(X0)
& in_environment(X0,X1) )
=> ( subpopulation(first_movers,X0,X1)
& subpopulation(efficient_producers,X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_subpopulations) ).
fof(f3,axiom,
! [X0,X1,X2] :
( ( X0 = sum(X1,X2)
& constant(X0) )
=> ( ( constant(X1)
& constant(X2) )
| ( increases(X1)
& decreases(X2) )
| ( decreases(X1)
& increases(X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_abc_sum_increase) ).
fof(f4,axiom,
! [X0,X1,X2] :
( ( environment(X1)
& in_environment(X1,X2)
& subpopulation(X0,X1,X2)
& greater(cardinality_at_time(X0,X2),zero) )
=> ( ( constant(cardinality_at_time(X0,X2))
=> growth_rate(X0,X2) = zero )
& ( increases(cardinality_at_time(X0,X2))
=> greater(growth_rate(X0,X2),zero) )
& ( decreases(cardinality_at_time(X0,X2))
=> greater(zero,growth_rate(X0,X2)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_growth_rate) ).
fof(f5,axiom,
! [X0,X1] :
( ( environment(X0)
& subpopulations(first_movers,efficient_producers,X0,X1) )
=> ( greater(cardinality_at_time(first_movers,X1),zero)
& greater(cardinality_at_time(efficient_producers,X1),zero) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_non_zero_producers) ).
fof(f6,axiom,
! [X0,X1] :
( ( environment(X0)
& subpopulations(first_movers,efficient_producers,X0,X1) )
=> in_environment(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_time_point_occur) ).
fof(f8,conjecture,
! [X0,X1] :
( ( environment(X0)
& subpopulations(first_movers,efficient_producers,X0,X1)
& constant(number_of_organizations(X0,X1)) )
=> ( ( growth_rate(first_movers,X1) = zero
& growth_rate(efficient_producers,X1) = zero )
| ( greater(growth_rate(first_movers,X1),zero)
& greater(zero,growth_rate(efficient_producers,X1)) )
| ( greater(growth_rate(efficient_producers,X1),zero)
& greater(zero,growth_rate(first_movers,X1)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_l7) ).
fof(f9,negated_conjecture,
~ ! [X0,X1] :
( ( environment(X0)
& subpopulations(first_movers,efficient_producers,X0,X1)
& constant(number_of_organizations(X0,X1)) )
=> ( ( growth_rate(first_movers,X1) = zero
& growth_rate(efficient_producers,X1) = zero )
| ( greater(growth_rate(first_movers,X1),zero)
& greater(zero,growth_rate(efficient_producers,X1)) )
| ( greater(growth_rate(efficient_producers,X1),zero)
& greater(zero,growth_rate(first_movers,X1)) ) ) ),
inference(negated_conjecture,[status(cth)],[f8]) ).
fof(f10,plain,
! [X0,X1,X2] :
( number_of_organizations(X0,X2) = sum(cardinality_at_time(first_movers,X2),cardinality_at_time(efficient_producers,X2))
| ~ environment(X0)
| ~ subpopulation(X1,X0,X2)
| ( efficient_producers != X1
& first_movers != X1
& greater(cardinality_at_time(X1,X2),zero) ) ),
inference(ennf_transformation,[],[f1]) ).
fof(f11,plain,
! [X0,X1,X2] :
( number_of_organizations(X0,X2) = sum(cardinality_at_time(first_movers,X2),cardinality_at_time(efficient_producers,X2))
| ~ environment(X0)
| ~ subpopulation(X1,X0,X2)
| ( efficient_producers != X1
& first_movers != X1
& greater(cardinality_at_time(X1,X2),zero) ) ),
inference(flattening,[],[f10]) ).
fof(f12,plain,
! [X0,X1] :
( ( subpopulation(first_movers,X0,X1)
& subpopulation(efficient_producers,X0,X1) )
| ~ environment(X0)
| ~ in_environment(X0,X1) ),
inference(ennf_transformation,[],[f2]) ).
fof(f13,plain,
! [X0,X1] :
( ( subpopulation(first_movers,X0,X1)
& subpopulation(efficient_producers,X0,X1) )
| ~ environment(X0)
| ~ in_environment(X0,X1) ),
inference(flattening,[],[f12]) ).
fof(f14,plain,
! [X0,X1,X2] :
( ( constant(X1)
& constant(X2) )
| ( increases(X1)
& decreases(X2) )
| ( decreases(X1)
& increases(X2) )
| sum(X1,X2) != X0
| ~ constant(X0) ),
inference(ennf_transformation,[],[f3]) ).
fof(f15,plain,
! [X0,X1,X2] :
( ( constant(X1)
& constant(X2) )
| ( increases(X1)
& decreases(X2) )
| ( decreases(X1)
& increases(X2) )
| sum(X1,X2) != X0
| ~ constant(X0) ),
inference(flattening,[],[f14]) ).
fof(f16,plain,
! [X0,X1,X2] :
( ( ( growth_rate(X0,X2) = zero
| ~ constant(cardinality_at_time(X0,X2)) )
& ( greater(growth_rate(X0,X2),zero)
| ~ increases(cardinality_at_time(X0,X2)) )
& ( greater(zero,growth_rate(X0,X2))
| ~ decreases(cardinality_at_time(X0,X2)) ) )
| ~ environment(X1)
| ~ in_environment(X1,X2)
| ~ subpopulation(X0,X1,X2)
| ~ greater(cardinality_at_time(X0,X2),zero) ),
inference(ennf_transformation,[],[f4]) ).
fof(f17,plain,
! [X0,X1,X2] :
( ( ( growth_rate(X0,X2) = zero
| ~ constant(cardinality_at_time(X0,X2)) )
& ( greater(growth_rate(X0,X2),zero)
| ~ increases(cardinality_at_time(X0,X2)) )
& ( greater(zero,growth_rate(X0,X2))
| ~ decreases(cardinality_at_time(X0,X2)) ) )
| ~ environment(X1)
| ~ in_environment(X1,X2)
| ~ subpopulation(X0,X1,X2)
| ~ greater(cardinality_at_time(X0,X2),zero) ),
inference(flattening,[],[f16]) ).
fof(f18,plain,
! [X0,X1] :
( ( greater(cardinality_at_time(first_movers,X1),zero)
& greater(cardinality_at_time(efficient_producers,X1),zero) )
| ~ environment(X0)
| ~ subpopulations(first_movers,efficient_producers,X0,X1) ),
inference(ennf_transformation,[],[f5]) ).
fof(f19,plain,
! [X0,X1] :
( ( greater(cardinality_at_time(first_movers,X1),zero)
& greater(cardinality_at_time(efficient_producers,X1),zero) )
| ~ environment(X0)
| ~ subpopulations(first_movers,efficient_producers,X0,X1) ),
inference(flattening,[],[f18]) ).
fof(f20,plain,
! [X0,X1] :
( in_environment(X0,X1)
| ~ environment(X0)
| ~ subpopulations(first_movers,efficient_producers,X0,X1) ),
inference(ennf_transformation,[],[f6]) ).
fof(f21,plain,
! [X0,X1] :
( in_environment(X0,X1)
| ~ environment(X0)
| ~ subpopulations(first_movers,efficient_producers,X0,X1) ),
inference(flattening,[],[f20]) ).
fof(f24,plain,
? [X0,X1] :
( ( zero != growth_rate(first_movers,X1)
| zero != growth_rate(efficient_producers,X1) )
& ( ~ greater(growth_rate(first_movers,X1),zero)
| ~ greater(zero,growth_rate(efficient_producers,X1)) )
& ( ~ greater(growth_rate(efficient_producers,X1),zero)
| ~ greater(zero,growth_rate(first_movers,X1)) )
& environment(X0)
& subpopulations(first_movers,efficient_producers,X0,X1)
& constant(number_of_organizations(X0,X1)) ),
inference(ennf_transformation,[],[f9]) ).
fof(f25,plain,
? [X0,X1] :
( ( zero != growth_rate(first_movers,X1)
| zero != growth_rate(efficient_producers,X1) )
& ( ~ greater(growth_rate(first_movers,X1),zero)
| ~ greater(zero,growth_rate(efficient_producers,X1)) )
& ( ~ greater(growth_rate(efficient_producers,X1),zero)
| ~ greater(zero,growth_rate(first_movers,X1)) )
& environment(X0)
& subpopulations(first_movers,efficient_producers,X0,X1)
& constant(number_of_organizations(X0,X1)) ),
inference(flattening,[],[f24]) ).
fof(f26,plain,
( ( zero != growth_rate(first_movers,sK1)
| zero != growth_rate(efficient_producers,sK1) )
& ( ~ greater(growth_rate(first_movers,sK1),zero)
| ~ greater(zero,growth_rate(efficient_producers,sK1)) )
& ( ~ greater(growth_rate(efficient_producers,sK1),zero)
| ~ greater(zero,growth_rate(first_movers,sK1)) )
& environment(sK0)
& subpopulations(first_movers,efficient_producers,sK0,sK1)
& constant(number_of_organizations(sK0,sK1)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X0,sK0),skolemize(X1,sK1)],[f25]) ).
fof(f29,plain,
! [X2,X0,X1] :
( number_of_organizations(X0,X2) = sum(cardinality_at_time(first_movers,X2),cardinality_at_time(efficient_producers,X2))
| ~ environment(X0)
| ~ subpopulation(X1,X0,X2)
| efficient_producers != X1 ),
inference(cnf_transformation,[],[f11]) ).
fof(f30,plain,
! [X0,X1] :
( subpopulation(efficient_producers,X0,X1)
| ~ environment(X0)
| ~ in_environment(X0,X1) ),
inference(cnf_transformation,[],[f13]) ).
fof(f31,plain,
! [X0,X1] :
( subpopulation(first_movers,X0,X1)
| ~ environment(X0)
| ~ in_environment(X0,X1) ),
inference(cnf_transformation,[],[f13]) ).
fof(f32,plain,
! [X2,X0,X1] :
( constant(X2)
| decreases(X2)
| increases(X2)
| sum(X1,X2) != X0
| ~ constant(X0) ),
inference(cnf_transformation,[],[f15]) ).
fof(f33,plain,
! [X2,X0,X1] :
( constant(X2)
| decreases(X2)
| decreases(X1)
| sum(X1,X2) != X0
| ~ constant(X0) ),
inference(cnf_transformation,[],[f15]) ).
fof(f34,plain,
! [X2,X0,X1] :
( constant(X2)
| increases(X1)
| increases(X2)
| sum(X1,X2) != X0
| ~ constant(X0) ),
inference(cnf_transformation,[],[f15]) ).
fof(f35,plain,
! [X2,X0,X1] :
( constant(X2)
| increases(X1)
| decreases(X1)
| sum(X1,X2) != X0
| ~ constant(X0) ),
inference(cnf_transformation,[],[f15]) ).
fof(f36,plain,
! [X2,X0,X1] :
( constant(X1)
| decreases(X2)
| increases(X2)
| sum(X1,X2) != X0
| ~ constant(X0) ),
inference(cnf_transformation,[],[f15]) ).
fof(f37,plain,
! [X2,X0,X1] :
( constant(X1)
| decreases(X2)
| decreases(X1)
| sum(X1,X2) != X0
| ~ constant(X0) ),
inference(cnf_transformation,[],[f15]) ).
fof(f38,plain,
! [X2,X0,X1] :
( constant(X1)
| increases(X1)
| increases(X2)
| sum(X1,X2) != X0
| ~ constant(X0) ),
inference(cnf_transformation,[],[f15]) ).
fof(f39,plain,
! [X2,X0,X1] :
( constant(X1)
| increases(X1)
| decreases(X1)
| sum(X1,X2) != X0
| ~ constant(X0) ),
inference(cnf_transformation,[],[f15]) ).
fof(f40,plain,
! [X2,X0,X1] :
( ~ greater(cardinality_at_time(X0,X2),zero)
| ~ decreases(cardinality_at_time(X0,X2))
| ~ environment(X1)
| ~ in_environment(X1,X2)
| ~ subpopulation(X0,X1,X2)
| greater(zero,growth_rate(X0,X2)) ),
inference(cnf_transformation,[],[f17]) ).
fof(f41,plain,
! [X2,X0,X1] :
( ~ greater(cardinality_at_time(X0,X2),zero)
| ~ increases(cardinality_at_time(X0,X2))
| ~ environment(X1)
| ~ in_environment(X1,X2)
| ~ subpopulation(X0,X1,X2)
| greater(growth_rate(X0,X2),zero) ),
inference(cnf_transformation,[],[f17]) ).
fof(f42,plain,
! [X2,X0,X1] :
( ~ greater(cardinality_at_time(X0,X2),zero)
| ~ constant(cardinality_at_time(X0,X2))
| ~ environment(X1)
| ~ in_environment(X1,X2)
| ~ subpopulation(X0,X1,X2)
| zero = growth_rate(X0,X2) ),
inference(cnf_transformation,[],[f17]) ).
fof(f43,plain,
! [X0,X1] :
( ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ environment(X0)
| greater(cardinality_at_time(efficient_producers,X1),zero) ),
inference(cnf_transformation,[],[f19]) ).
fof(f44,plain,
! [X0,X1] :
( ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ environment(X0)
| greater(cardinality_at_time(first_movers,X1),zero) ),
inference(cnf_transformation,[],[f19]) ).
fof(f45,plain,
! [X0,X1] :
( ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ environment(X0)
| in_environment(X0,X1) ),
inference(cnf_transformation,[],[f21]) ).
fof(f47,plain,
constant(number_of_organizations(sK0,sK1)),
inference(cnf_transformation,[],[f26]) ).
fof(f48,plain,
subpopulations(first_movers,efficient_producers,sK0,sK1),
inference(cnf_transformation,[],[f26]) ).
fof(f49,plain,
environment(sK0),
inference(cnf_transformation,[],[f26]) ).
fof(f50,plain,
( ~ greater(growth_rate(efficient_producers,sK1),zero)
| ~ greater(zero,growth_rate(first_movers,sK1)) ),
inference(cnf_transformation,[],[f26]) ).
fof(f51,plain,
( ~ greater(growth_rate(first_movers,sK1),zero)
| ~ greater(zero,growth_rate(efficient_producers,sK1)) ),
inference(cnf_transformation,[],[f26]) ).
fof(f52,plain,
( zero != growth_rate(first_movers,sK1)
| zero != growth_rate(efficient_producers,sK1) ),
inference(cnf_transformation,[],[f26]) ).
fof(f53,plain,
! [X2,X0] :
( ~ subpopulation(efficient_producers,X0,X2)
| ~ environment(X0)
| number_of_organizations(X0,X2) = sum(cardinality_at_time(first_movers,X2),cardinality_at_time(efficient_producers,X2)) ),
inference(equality_resolution,[],[f29]) ).
fof(f55,plain,
! [X2,X1] :
( ~ constant(sum(X1,X2))
| increases(X1)
| decreases(X1)
| constant(X1) ),
inference(equality_resolution,[],[f39]) ).
fof(f56,plain,
! [X2,X1] :
( ~ constant(sum(X1,X2))
| increases(X1)
| increases(X2)
| constant(X1) ),
inference(equality_resolution,[],[f38]) ).
fof(f57,plain,
! [X2,X1] :
( ~ constant(sum(X1,X2))
| decreases(X2)
| decreases(X1)
| constant(X1) ),
inference(equality_resolution,[],[f37]) ).
fof(f58,plain,
! [X2,X1] :
( ~ constant(sum(X1,X2))
| decreases(X2)
| increases(X2)
| constant(X1) ),
inference(equality_resolution,[],[f36]) ).
fof(f59,plain,
! [X2,X1] :
( ~ constant(sum(X1,X2))
| increases(X1)
| decreases(X1)
| constant(X2) ),
inference(equality_resolution,[],[f35]) ).
fof(f60,plain,
! [X2,X1] :
( ~ constant(sum(X1,X2))
| increases(X1)
| increases(X2)
| constant(X2) ),
inference(equality_resolution,[],[f34]) ).
fof(f61,plain,
! [X2,X1] :
( ~ constant(sum(X1,X2))
| decreases(X2)
| decreases(X1)
| constant(X2) ),
inference(equality_resolution,[],[f33]) ).
fof(f62,plain,
! [X2,X1] :
( ~ constant(sum(X1,X2))
| decreases(X2)
| increases(X2)
| constant(X2) ),
inference(equality_resolution,[],[f32]) ).
fof(f64,definition,
( spl2_1
<=> greater(zero,growth_rate(first_movers,sK1)) ),
introduced(definition,[new_symbols(definition,[spl2_1])],[avatar_definition]) ).
fof(f66,plain,
( ~ greater(zero,growth_rate(first_movers,sK1))
| spl2_1 ),
inference(avatar_component_clause,[],[f64]) ).
fof(f68,definition,
( spl2_2
<=> greater(growth_rate(efficient_producers,sK1),zero) ),
introduced(definition,[new_symbols(definition,[spl2_2])],[avatar_definition]) ).
fof(f70,plain,
( ~ greater(growth_rate(efficient_producers,sK1),zero)
| spl2_2 ),
inference(avatar_component_clause,[],[f68]) ).
fof(f71,plain,
( ~ spl2_1
| ~ spl2_2 ),
inference(avatar_split_clause,[],[f50,f68,f64]) ).
fof(f73,definition,
( spl2_3
<=> greater(zero,growth_rate(efficient_producers,sK1)) ),
introduced(definition,[new_symbols(definition,[spl2_3])],[avatar_definition]) ).
fof(f75,plain,
( ~ greater(zero,growth_rate(efficient_producers,sK1))
| spl2_3 ),
inference(avatar_component_clause,[],[f73]) ).
fof(f77,definition,
( spl2_4
<=> greater(growth_rate(first_movers,sK1),zero) ),
introduced(definition,[new_symbols(definition,[spl2_4])],[avatar_definition]) ).
fof(f79,plain,
( ~ greater(growth_rate(first_movers,sK1),zero)
| spl2_4 ),
inference(avatar_component_clause,[],[f77]) ).
fof(f80,plain,
( ~ spl2_3
| ~ spl2_4 ),
inference(avatar_split_clause,[],[f51,f77,f73]) ).
fof(f82,definition,
( spl2_5
<=> zero = growth_rate(efficient_producers,sK1) ),
introduced(definition,[new_symbols(definition,[spl2_5])],[avatar_definition]) ).
fof(f84,plain,
( zero != growth_rate(efficient_producers,sK1)
| spl2_5 ),
inference(avatar_component_clause,[],[f82]) ).
fof(f86,definition,
( spl2_6
<=> zero = growth_rate(first_movers,sK1) ),
introduced(definition,[new_symbols(definition,[spl2_6])],[avatar_definition]) ).
fof(f88,plain,
( zero != growth_rate(first_movers,sK1)
| spl2_6 ),
inference(avatar_component_clause,[],[f86]) ).
fof(f89,plain,
( ~ spl2_5
| ~ spl2_6 ),
inference(avatar_split_clause,[],[f52,f86,f82]) ).
fof(f218,plain,
( ~ environment(sK0)
| in_environment(sK0,sK1) ),
inference(resolution,[],[f45,f48]) ).
fof(f219,plain,
in_environment(sK0,sK1),
inference(forward_subsumption_resolution,[],[f218,f49]) ).
fof(f242,plain,
( ~ environment(sK0)
| greater(cardinality_at_time(efficient_producers,sK1),zero) ),
inference(resolution,[],[f43,f48]) ).
fof(f243,plain,
greater(cardinality_at_time(efficient_producers,sK1),zero),
inference(forward_subsumption_resolution,[],[f242,f49]) ).
fof(f249,plain,
( ~ environment(sK0)
| greater(cardinality_at_time(first_movers,sK1),zero) ),
inference(resolution,[],[f44,f48]) ).
fof(f250,plain,
greater(cardinality_at_time(first_movers,sK1),zero),
inference(forward_subsumption_resolution,[],[f249,f49]) ).
fof(f333,plain,
! [X0] :
( ~ decreases(cardinality_at_time(efficient_producers,sK1))
| ~ environment(X0)
| ~ in_environment(X0,sK1)
| ~ subpopulation(efficient_producers,X0,sK1)
| greater(zero,growth_rate(efficient_producers,sK1)) ),
inference(resolution,[],[f40,f243]) ).
fof(f335,plain,
! [X0] :
( ~ decreases(cardinality_at_time(first_movers,sK1))
| ~ environment(X0)
| ~ in_environment(X0,sK1)
| ~ subpopulation(first_movers,X0,sK1)
| greater(zero,growth_rate(first_movers,sK1)) ),
inference(resolution,[],[f40,f250]) ).
fof(f338,plain,
( ! [X0] :
( ~ decreases(cardinality_at_time(first_movers,sK1))
| ~ environment(X0)
| ~ in_environment(X0,sK1)
| ~ subpopulation(first_movers,X0,sK1) )
| spl2_1 ),
inference(forward_subsumption_resolution,[],[f335,f66]) ).
fof(f344,definition,
( spl2_27
<=> ! [X0] :
( ~ environment(X0)
| ~ in_environment(X0,sK1) ) ),
introduced(definition,[new_symbols(definition,[spl2_27])],[avatar_definition]) ).
fof(f345,plain,
( ! [X0] :
( ~ in_environment(X0,sK1)
| ~ environment(X0) )
| ~ spl2_27 ),
inference(avatar_component_clause,[],[f344]) ).
fof(f347,definition,
( spl2_28
<=> decreases(cardinality_at_time(first_movers,sK1)) ),
introduced(definition,[new_symbols(definition,[spl2_28])],[avatar_definition]) ).
fof(f349,plain,
( ~ decreases(cardinality_at_time(first_movers,sK1))
| spl2_28 ),
inference(avatar_component_clause,[],[f347]) ).
fof(f351,plain,
( ~ environment(sK0)
| ~ spl2_27 ),
inference(resolution,[],[f345,f219]) ).
fof(f352,plain,
( $false
| ~ spl2_27 ),
inference(forward_subsumption_resolution,[],[f351,f49]) ).
fof(f353,plain,
~ spl2_27,
inference(avatar_contradiction_clause,[],[f352]) ).
fof(f388,plain,
! [X0] :
( ~ increases(cardinality_at_time(efficient_producers,sK1))
| ~ environment(X0)
| ~ in_environment(X0,sK1)
| ~ subpopulation(efficient_producers,X0,sK1)
| greater(growth_rate(efficient_producers,sK1),zero) ),
inference(resolution,[],[f41,f243]) ).
fof(f390,plain,
! [X0] :
( ~ increases(cardinality_at_time(first_movers,sK1))
| ~ environment(X0)
| ~ in_environment(X0,sK1)
| ~ subpopulation(first_movers,X0,sK1)
| greater(growth_rate(first_movers,sK1),zero) ),
inference(resolution,[],[f41,f250]) ).
fof(f393,plain,
( ! [X0] :
( ~ increases(cardinality_at_time(first_movers,sK1))
| ~ environment(X0)
| ~ in_environment(X0,sK1)
| ~ subpopulation(first_movers,X0,sK1) )
| spl2_4 ),
inference(forward_subsumption_resolution,[],[f390,f79]) ).
fof(f396,plain,
( ! [X0] :
( ~ increases(cardinality_at_time(first_movers,sK1))
| ~ environment(X0)
| ~ in_environment(X0,sK1) )
| spl2_4 ),
inference(forward_subsumption_resolution,[],[f393,f31]) ).
fof(f399,definition,
( spl2_32
<=> increases(cardinality_at_time(first_movers,sK1)) ),
introduced(definition,[new_symbols(definition,[spl2_32])],[avatar_definition]) ).
fof(f401,plain,
( ~ increases(cardinality_at_time(first_movers,sK1))
| spl2_32 ),
inference(avatar_component_clause,[],[f399]) ).
fof(f402,plain,
( spl2_27
| ~ spl2_32
| spl2_4 ),
inference(avatar_split_clause,[],[f396,f77,f399,f344]) ).
fof(f486,plain,
( ! [X0] :
( ~ decreases(cardinality_at_time(first_movers,sK1))
| ~ environment(X0)
| ~ in_environment(X0,sK1) )
| spl2_1 ),
inference(forward_subsumption_resolution,[],[f338,f31]) ).
fof(f488,plain,
( spl2_27
| ~ spl2_28
| spl2_1 ),
inference(avatar_split_clause,[],[f486,f64,f347,f344]) ).
fof(f513,plain,
! [X0] :
( ~ constant(cardinality_at_time(efficient_producers,sK1))
| ~ environment(X0)
| ~ in_environment(X0,sK1)
| ~ subpopulation(efficient_producers,X0,sK1)
| zero = growth_rate(efficient_producers,sK1) ),
inference(resolution,[],[f42,f243]) ).
fof(f515,plain,
! [X0] :
( ~ constant(cardinality_at_time(first_movers,sK1))
| ~ environment(X0)
| ~ in_environment(X0,sK1)
| ~ subpopulation(first_movers,X0,sK1)
| zero = growth_rate(first_movers,sK1) ),
inference(resolution,[],[f42,f250]) ).
fof(f534,plain,
( ! [X0] :
( ~ constant(cardinality_at_time(first_movers,sK1))
| ~ environment(X0)
| ~ in_environment(X0,sK1)
| ~ subpopulation(first_movers,X0,sK1) )
| spl2_6 ),
inference(forward_subsumption_resolution,[],[f515,f88]) ).
fof(f541,plain,
( ! [X0] :
( ~ constant(cardinality_at_time(first_movers,sK1))
| ~ environment(X0)
| ~ in_environment(X0,sK1) )
| spl2_6 ),
inference(forward_subsumption_resolution,[],[f534,f31]) ).
fof(f543,definition,
( spl2_42
<=> constant(cardinality_at_time(first_movers,sK1)) ),
introduced(definition,[new_symbols(definition,[spl2_42])],[avatar_definition]) ).
fof(f545,plain,
( ~ constant(cardinality_at_time(first_movers,sK1))
| spl2_42 ),
inference(avatar_component_clause,[],[f543]) ).
fof(f546,plain,
( spl2_27
| ~ spl2_42
| spl2_6 ),
inference(avatar_split_clause,[],[f541,f86,f543,f344]) ).
fof(f631,plain,
! [X0] :
( ~ increases(cardinality_at_time(efficient_producers,sK1))
| ~ environment(X0)
| ~ in_environment(X0,sK1)
| greater(growth_rate(efficient_producers,sK1),zero) ),
inference(forward_subsumption_resolution,[],[f388,f30]) ).
fof(f712,plain,
! [X0,X1] :
( ~ environment(X0)
| number_of_organizations(X0,X1) = sum(cardinality_at_time(first_movers,X1),cardinality_at_time(efficient_producers,X1))
| ~ environment(X0)
| ~ in_environment(X0,X1) ),
inference(resolution,[],[f53,f30]) ).
fof(f713,plain,
! [X0,X1] :
( ~ in_environment(X0,X1)
| number_of_organizations(X0,X1) = sum(cardinality_at_time(first_movers,X1),cardinality_at_time(efficient_producers,X1))
| ~ environment(X0) ),
inference(duplicate_literal_removal,[],[f712]) ).
fof(f718,plain,
( number_of_organizations(sK0,sK1) = sum(cardinality_at_time(first_movers,sK1),cardinality_at_time(efficient_producers,sK1))
| ~ environment(sK0) ),
inference(resolution,[],[f713,f219]) ).
fof(f719,plain,
number_of_organizations(sK0,sK1) = sum(cardinality_at_time(first_movers,sK1),cardinality_at_time(efficient_producers,sK1)),
inference(forward_subsumption_resolution,[],[f718,f49]) ).
fof(f720,plain,
( ~ constant(number_of_organizations(sK0,sK1))
| increases(cardinality_at_time(first_movers,sK1))
| decreases(cardinality_at_time(first_movers,sK1))
| constant(cardinality_at_time(first_movers,sK1)) ),
inference(superposition,[],[f55,f719]) ).
fof(f721,plain,
( ~ constant(number_of_organizations(sK0,sK1))
| increases(cardinality_at_time(first_movers,sK1))
| increases(cardinality_at_time(efficient_producers,sK1))
| constant(cardinality_at_time(first_movers,sK1)) ),
inference(superposition,[],[f56,f719]) ).
fof(f722,plain,
( ~ constant(number_of_organizations(sK0,sK1))
| decreases(cardinality_at_time(efficient_producers,sK1))
| decreases(cardinality_at_time(first_movers,sK1))
| constant(cardinality_at_time(first_movers,sK1)) ),
inference(superposition,[],[f57,f719]) ).
fof(f723,plain,
( ~ constant(number_of_organizations(sK0,sK1))
| decreases(cardinality_at_time(efficient_producers,sK1))
| increases(cardinality_at_time(efficient_producers,sK1))
| constant(cardinality_at_time(first_movers,sK1)) ),
inference(superposition,[],[f58,f719]) ).
fof(f724,plain,
( ~ constant(number_of_organizations(sK0,sK1))
| increases(cardinality_at_time(first_movers,sK1))
| decreases(cardinality_at_time(first_movers,sK1))
| constant(cardinality_at_time(efficient_producers,sK1)) ),
inference(superposition,[],[f59,f719]) ).
fof(f725,plain,
( ~ constant(number_of_organizations(sK0,sK1))
| increases(cardinality_at_time(first_movers,sK1))
| increases(cardinality_at_time(efficient_producers,sK1))
| constant(cardinality_at_time(efficient_producers,sK1)) ),
inference(superposition,[],[f60,f719]) ).
fof(f726,plain,
( ~ constant(number_of_organizations(sK0,sK1))
| decreases(cardinality_at_time(efficient_producers,sK1))
| decreases(cardinality_at_time(first_movers,sK1))
| constant(cardinality_at_time(efficient_producers,sK1)) ),
inference(superposition,[],[f61,f719]) ).
fof(f727,plain,
( ~ constant(number_of_organizations(sK0,sK1))
| decreases(cardinality_at_time(efficient_producers,sK1))
| increases(cardinality_at_time(efficient_producers,sK1))
| constant(cardinality_at_time(efficient_producers,sK1)) ),
inference(superposition,[],[f62,f719]) ).
fof(f728,plain,
( decreases(cardinality_at_time(efficient_producers,sK1))
| increases(cardinality_at_time(efficient_producers,sK1))
| constant(cardinality_at_time(efficient_producers,sK1)) ),
inference(forward_subsumption_resolution,[],[f727,f47]) ).
fof(f729,plain,
( decreases(cardinality_at_time(efficient_producers,sK1))
| decreases(cardinality_at_time(first_movers,sK1))
| constant(cardinality_at_time(efficient_producers,sK1)) ),
inference(forward_subsumption_resolution,[],[f726,f47]) ).
fof(f730,plain,
( increases(cardinality_at_time(first_movers,sK1))
| increases(cardinality_at_time(efficient_producers,sK1))
| constant(cardinality_at_time(efficient_producers,sK1)) ),
inference(forward_subsumption_resolution,[],[f725,f47]) ).
fof(f731,plain,
( increases(cardinality_at_time(first_movers,sK1))
| decreases(cardinality_at_time(first_movers,sK1))
| constant(cardinality_at_time(efficient_producers,sK1)) ),
inference(forward_subsumption_resolution,[],[f724,f47]) ).
fof(f732,plain,
( decreases(cardinality_at_time(efficient_producers,sK1))
| increases(cardinality_at_time(efficient_producers,sK1))
| constant(cardinality_at_time(first_movers,sK1)) ),
inference(forward_subsumption_resolution,[],[f723,f47]) ).
fof(f733,plain,
( decreases(cardinality_at_time(efficient_producers,sK1))
| decreases(cardinality_at_time(first_movers,sK1))
| constant(cardinality_at_time(first_movers,sK1)) ),
inference(forward_subsumption_resolution,[],[f722,f47]) ).
fof(f734,plain,
( increases(cardinality_at_time(first_movers,sK1))
| increases(cardinality_at_time(efficient_producers,sK1))
| constant(cardinality_at_time(first_movers,sK1)) ),
inference(forward_subsumption_resolution,[],[f721,f47]) ).
fof(f735,plain,
( increases(cardinality_at_time(first_movers,sK1))
| decreases(cardinality_at_time(first_movers,sK1))
| constant(cardinality_at_time(first_movers,sK1)) ),
inference(forward_subsumption_resolution,[],[f720,f47]) ).
fof(f743,plain,
( decreases(cardinality_at_time(first_movers,sK1))
| constant(cardinality_at_time(first_movers,sK1))
| spl2_32 ),
inference(forward_subsumption_resolution,[],[f735,f401]) ).
fof(f751,plain,
( constant(cardinality_at_time(first_movers,sK1))
| spl2_28
| spl2_32 ),
inference(forward_subsumption_resolution,[],[f743,f349]) ).
fof(f758,plain,
( $false
| spl2_28
| spl2_32
| spl2_42 ),
inference(forward_subsumption_resolution,[],[f751,f545]) ).
fof(f759,plain,
( spl2_28
| spl2_32
| spl2_42 ),
inference(avatar_contradiction_clause,[],[f758]) ).
fof(f763,plain,
( decreases(cardinality_at_time(efficient_producers,sK1))
| increases(cardinality_at_time(efficient_producers,sK1))
| spl2_42 ),
inference(forward_subsumption_resolution,[],[f732,f545]) ).
fof(f767,plain,
( decreases(cardinality_at_time(efficient_producers,sK1))
| decreases(cardinality_at_time(first_movers,sK1))
| spl2_42 ),
inference(forward_subsumption_resolution,[],[f733,f545]) ).
fof(f777,plain,
! [X0] :
( ~ decreases(cardinality_at_time(efficient_producers,sK1))
| ~ environment(X0)
| ~ in_environment(X0,sK1)
| greater(zero,growth_rate(efficient_producers,sK1)) ),
inference(forward_subsumption_resolution,[],[f333,f30]) ).
fof(f807,plain,
( increases(cardinality_at_time(first_movers,sK1))
| increases(cardinality_at_time(efficient_producers,sK1))
| spl2_42 ),
inference(forward_subsumption_resolution,[],[f734,f545]) ).
fof(f818,plain,
( decreases(cardinality_at_time(efficient_producers,sK1))
| spl2_28
| spl2_42 ),
inference(forward_subsumption_resolution,[],[f767,f349]) ).
fof(f820,definition,
( spl2_54
<=> decreases(cardinality_at_time(efficient_producers,sK1)) ),
introduced(definition,[new_symbols(definition,[spl2_54])],[avatar_definition]) ).
fof(f822,plain,
( ~ decreases(cardinality_at_time(efficient_producers,sK1))
| spl2_54 ),
inference(avatar_component_clause,[],[f820]) ).
fof(f824,plain,
( $false
| spl2_28
| spl2_42
| spl2_54 ),
inference(forward_subsumption_resolution,[],[f818,f822]) ).
fof(f825,plain,
( spl2_28
| spl2_42
| spl2_54 ),
inference(avatar_contradiction_clause,[],[f824]) ).
fof(f829,plain,
( increases(cardinality_at_time(efficient_producers,sK1))
| spl2_42
| spl2_54 ),
inference(forward_subsumption_resolution,[],[f763,f822]) ).
fof(f835,plain,
( ! [X0] :
( ~ environment(X0)
| ~ in_environment(X0,sK1)
| greater(growth_rate(efficient_producers,sK1),zero) )
| spl2_42
| spl2_54 ),
inference(forward_subsumption_resolution,[],[f631,f829]) ).
fof(f840,plain,
! [X0] :
( ~ constant(cardinality_at_time(efficient_producers,sK1))
| ~ environment(X0)
| ~ in_environment(X0,sK1)
| zero = growth_rate(efficient_producers,sK1) ),
inference(forward_subsumption_resolution,[],[f513,f30]) ).
fof(f841,plain,
( ! [X0] :
( ~ environment(X0)
| ~ in_environment(X0,sK1) )
| spl2_2
| spl2_42
| spl2_54 ),
inference(forward_subsumption_resolution,[],[f835,f70]) ).
fof(f842,plain,
( spl2_27
| spl2_2
| spl2_42
| spl2_54 ),
inference(avatar_split_clause,[],[f841,f820,f543,f68,f344]) ).
fof(f843,plain,
( ! [X0] :
( ~ increases(cardinality_at_time(efficient_producers,sK1))
| ~ environment(X0)
| ~ in_environment(X0,sK1) )
| spl2_2 ),
inference(forward_subsumption_resolution,[],[f631,f70]) ).
fof(f844,plain,
( ! [X0] :
( ~ decreases(cardinality_at_time(efficient_producers,sK1))
| ~ environment(X0)
| ~ in_environment(X0,sK1) )
| spl2_3 ),
inference(forward_subsumption_resolution,[],[f777,f75]) ).
fof(f846,definition,
( spl2_55
<=> increases(cardinality_at_time(efficient_producers,sK1)) ),
introduced(definition,[new_symbols(definition,[spl2_55])],[avatar_definition]) ).
fof(f848,plain,
( ~ increases(cardinality_at_time(efficient_producers,sK1))
| spl2_55 ),
inference(avatar_component_clause,[],[f846]) ).
fof(f849,plain,
( spl2_27
| ~ spl2_55
| spl2_2 ),
inference(avatar_split_clause,[],[f843,f68,f846,f344]) ).
fof(f850,plain,
( spl2_27
| ~ spl2_54
| spl2_3 ),
inference(avatar_split_clause,[],[f844,f73,f820,f344]) ).
fof(f851,plain,
( increases(cardinality_at_time(first_movers,sK1))
| spl2_42
| spl2_55 ),
inference(forward_subsumption_resolution,[],[f807,f848]) ).
fof(f852,plain,
( $false
| spl2_32
| spl2_42
| spl2_55 ),
inference(forward_subsumption_resolution,[],[f851,f401]) ).
fof(f853,plain,
( spl2_32
| spl2_42
| spl2_55 ),
inference(avatar_contradiction_clause,[],[f852]) ).
fof(f863,plain,
( increases(cardinality_at_time(efficient_producers,sK1))
| constant(cardinality_at_time(efficient_producers,sK1))
| spl2_32 ),
inference(forward_subsumption_resolution,[],[f730,f401]) ).
fof(f865,definition,
( spl2_56
<=> constant(cardinality_at_time(efficient_producers,sK1)) ),
introduced(definition,[new_symbols(definition,[spl2_56])],[avatar_definition]) ).
fof(f866,plain,
( ~ constant(cardinality_at_time(efficient_producers,sK1))
| spl2_56 ),
inference(avatar_component_clause,[],[f865]) ).
fof(f867,plain,
( constant(cardinality_at_time(efficient_producers,sK1))
| ~ spl2_56 ),
inference(avatar_component_clause,[],[f865]) ).
fof(f868,plain,
( spl2_56
| spl2_55
| spl2_32 ),
inference(avatar_split_clause,[],[f863,f399,f846,f865]) ).
fof(f869,plain,
( decreases(cardinality_at_time(first_movers,sK1))
| constant(cardinality_at_time(efficient_producers,sK1))
| spl2_32 ),
inference(forward_subsumption_resolution,[],[f731,f401]) ).
fof(f870,plain,
( constant(cardinality_at_time(efficient_producers,sK1))
| spl2_28
| spl2_32 ),
inference(forward_subsumption_resolution,[],[f869,f349]) ).
fof(f871,plain,
( spl2_56
| spl2_28
| spl2_32 ),
inference(avatar_split_clause,[],[f870,f399,f347,f865]) ).
fof(f872,plain,
( ! [X0] :
( ~ environment(X0)
| ~ in_environment(X0,sK1)
| zero = growth_rate(efficient_producers,sK1) )
| ~ spl2_56 ),
inference(forward_subsumption_resolution,[],[f840,f867]) ).
fof(f873,plain,
( ! [X0] :
( ~ environment(X0)
| ~ in_environment(X0,sK1) )
| spl2_5
| ~ spl2_56 ),
inference(forward_subsumption_resolution,[],[f872,f84]) ).
fof(f874,plain,
( spl2_27
| spl2_5
| ~ spl2_56 ),
inference(avatar_split_clause,[],[f873,f865,f82,f344]) ).
fof(f877,plain,
( decreases(cardinality_at_time(efficient_producers,sK1))
| constant(cardinality_at_time(efficient_producers,sK1))
| spl2_28 ),
inference(forward_subsumption_resolution,[],[f729,f349]) ).
fof(f887,plain,
( constant(cardinality_at_time(efficient_producers,sK1))
| spl2_28
| spl2_54 ),
inference(forward_subsumption_resolution,[],[f877,f822]) ).
fof(f888,plain,
( $false
| spl2_28
| spl2_54
| spl2_56 ),
inference(forward_subsumption_resolution,[],[f887,f866]) ).
fof(f889,plain,
( spl2_28
| spl2_54
| spl2_56 ),
inference(avatar_contradiction_clause,[],[f888]) ).
fof(f894,plain,
( increases(cardinality_at_time(efficient_producers,sK1))
| constant(cardinality_at_time(efficient_producers,sK1))
| spl2_54 ),
inference(forward_subsumption_resolution,[],[f728,f822]) ).
fof(f895,plain,
( constant(cardinality_at_time(efficient_producers,sK1))
| spl2_54
| spl2_55 ),
inference(forward_subsumption_resolution,[],[f894,f848]) ).
fof(f896,plain,
( $false
| spl2_54
| spl2_55
| spl2_56 ),
inference(forward_subsumption_resolution,[],[f895,f866]) ).
fof(f897,plain,
( spl2_54
| spl2_55
| spl2_56 ),
inference(avatar_contradiction_clause,[],[f896]) ).
cnf(s28,plain,
( ~ spl2_1
| ~ spl2_2 ),
inference(sat_conversion,[],[f71]) ).
cnf(s32,plain,
( ~ spl2_3
| ~ spl2_4 ),
inference(sat_conversion,[],[f80]) ).
cnf(s36,plain,
( ~ spl2_5
| ~ spl2_6 ),
inference(sat_conversion,[],[f89]) ).
cnf(s202,plain,
~ spl2_27,
inference(sat_conversion,[],[f353]) ).
cnf(s240,plain,
( spl2_4
| spl2_27
| ~ spl2_32 ),
inference(sat_conversion,[],[f402]) ).
cnf(s319,plain,
( spl2_1
| spl2_27
| ~ spl2_28 ),
inference(sat_conversion,[],[f488]) ).
cnf(s354,plain,
( spl2_6
| spl2_27
| ~ spl2_42 ),
inference(sat_conversion,[],[f546]) ).
cnf(s506,plain,
( spl2_28
| spl2_32
| spl2_42 ),
inference(sat_conversion,[],[f759]) ).
cnf(s588,plain,
( spl2_28
| spl2_42
| spl2_54 ),
inference(sat_conversion,[],[f825]) ).
cnf(s614,plain,
( spl2_2
| spl2_27
| spl2_42
| spl2_54 ),
inference(sat_conversion,[],[f842]) ).
cnf(s620,plain,
( spl2_2
| spl2_27
| ~ spl2_55 ),
inference(sat_conversion,[],[f849]) ).
cnf(s624,plain,
( spl2_3
| spl2_27
| ~ spl2_54 ),
inference(sat_conversion,[],[f850]) ).
cnf(s633,plain,
( spl2_32
| spl2_42
| spl2_55 ),
inference(sat_conversion,[],[f853]) ).
cnf(s654,plain,
( spl2_32
| spl2_55
| spl2_56 ),
inference(sat_conversion,[],[f868]) ).
cnf(s659,plain,
( spl2_28
| spl2_32
| spl2_56 ),
inference(sat_conversion,[],[f871]) ).
cnf(s664,plain,
( spl2_5
| spl2_27
| ~ spl2_56 ),
inference(sat_conversion,[],[f874]) ).
cnf(s696,plain,
( spl2_28
| spl2_54
| spl2_56 ),
inference(sat_conversion,[],[f889]) ).
cnf(s700,plain,
( spl2_54
| spl2_55
| spl2_56 ),
inference(sat_conversion,[],[f897]) ).
cnf(s702,plain,
( spl2_54
| spl2_2 ),
inference(rat,[],[s36,s354,s664,s614,s700,s620,s202]) ).
cnf(s703,plain,
( spl2_32
| spl2_28 ),
inference(rat,[],[s36,s354,s664,s506,s659,s202]) ).
cnf(s704,plain,
( spl2_54
| spl2_28 ),
inference(rat,[],[s36,s354,s664,s588,s696,s202]) ).
cnf(s705,plain,
spl2_28,
inference(rat,[],[s704,s624,s32,s240,s703,s202]) ).
cnf(s706,plain,
spl2_1,
inference(rat,[],[s319,s202,s705]) ).
cnf(s707,plain,
~ spl2_2,
inference(rat,[],[s28,s706]) ).
cnf(s708,plain,
~ spl2_55,
inference(rat,[],[s620,s202,s707]) ).
cnf(s710,plain,
spl2_54,
inference(rat,[],[s702,s707]) ).
cnf(s711,plain,
spl2_3,
inference(rat,[],[s624,s202,s710]) ).
cnf(s712,plain,
~ spl2_4,
inference(rat,[],[s32,s711]) ).
cnf(s714,plain,
~ spl2_32,
inference(rat,[],[s240,s202,s712]) ).
cnf(s718,plain,
spl2_56,
inference(rat,[],[s654,s708,s714]) ).
cnf(s719,plain,
spl2_42,
inference(rat,[],[s633,s708,s714]) ).
cnf(s720,plain,
spl2_5,
inference(rat,[],[s664,s202,s718]) ).
cnf(s722,plain,
spl2_6,
inference(rat,[],[s354,s202,s719]) ).
cnf(s723,plain,
$false,
inference(rat,[],[s36,s722,s720]) ).
fof(f898,plain,
$false,
inference(avatar_sat_refutation,[],[s723]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : MGT025+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.37 % Computer : n001.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sun Sep 27 17:26:16 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.40 Running first-order model finding
% 0.10/0.40 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
% 0.10/0.45 % (3822166)Will run a generic schedule for satisfiability detection.
% 0.10/0.45 % (3822173)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=177542160:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.10/0.45 % (3822176)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1219153789:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.10/0.45 % (3822171)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=790512869_2999 on theBenchmark for (2999ds/0Mi)
% 0.10/0.45 % (3822177)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=603246361:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.10/0.45 % (3822174)dis+10_1_sil=32000:sp=arity:random_seed=4031112887:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.10/0.45 % (3822175)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3521142776:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.10/0.45 % (3822172)% WARNING: option uhcvi not known.
% 0.10/0.45 % TRYING [1]
% 0.10/0.45 % TRYING [2]
% 0.10/0.45 % (3822174) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3822166-3822174"...
% 0.10/0.45 % TRYING [3]
% 0.10/0.45 % (3822176) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3822166-3822176"...
% 0.10/0.45 % (3822173) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3822166-3822173"...
% 0.10/0.45 % (3822172)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3158161954:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.10/0.45 % (3822175) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3822166-3822175"...
% 0.10/0.45 % (3822173)...printing done.
% 0.10/0.45 % (3822174)...printing done.
% 0.10/0.45 % (3822173)Refutation found. Thanks to Tanya!
% 0.10/0.45 % SZS status Theorem for theBenchmark
% 0.10/0.45 % SZS output start Proof for theBenchmark
% See solution above
% 0.10/0.46 % (3822173)------------------------------
% 0.10/0.46 % (3822173)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.10/0.46 % (3822173)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.10/0.46 % (3822173)CaDiCaL version: 2.1.3
% 0.10/0.46 % (3822173)Termination reason: Refutation
% 0.10/0.46 % (3822173)Time elapsed: 0.014 s
% 0.10/0.46 % (3822173)Peak memory usage: 12 MB
% 0.10/0.46 % (3822173)Instructions burned: 33 (million)
% 0.10/0.46 % (3822166)Success in time 0.043 s
% 0.10/0.46 % Vampire exiting
%------------------------------------------------------------------------------