%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : MGT039+1 : TPTP v9.3.1. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n014.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 12:02:10 PM UTC 2026
% Result : Theorem 0.69s 0.92s
% Output : Refutation 0.69s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 27
% Syntax : Number of formulae : 188 ( 28 unt; 16 def)
% Number of atoms : 637 ( 35 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 814 ( 365 ~; 387 |; 34 &)
% ( 17 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 26 ( 24 usr; 17 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-1 aty)
% Number of variables : 123 ( 0 sgn 116 !; 7 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] :
( ( observational_period(X0)
& propagation_strategy(first_movers)
& propagation_strategy(efficient_producers)
& ! [X1] :
( ( environment(X1)
& in_environment(X0,X1) )
=> selection_favors(efficient_producers,first_movers,end_time(X1)) ) )
=> selection_favors(efficient_producers,first_movers,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp3_favoured_trategy) ).
fof(f2,axiom,
! [X0] :
( ( observational_period(X0)
& slow_change(X0) )
=> ! [X1] :
( ( environment(X1)
& in_environment(X0,X1) )
=> ? [X2] :
( in_environment(X1,X2)
& greater(X2,critical_point(X1)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp4_critical_point) ).
fof(f3,axiom,
propagation_strategy(first_movers),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_organizational_sets1) ).
fof(f4,axiom,
propagation_strategy(efficient_producers),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_organizational_sets2) ).
fof(f5,axiom,
! [X0,X1] :
( ( environment(X0)
& greater_or_equal(X1,start_time(X0))
& greater_or_equal(end_time(X0),X1) )
=> in_environment(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_time_in_environment) ).
fof(f6,axiom,
! [X0,X1] :
( ( environment(X0)
& in_environment(X0,X1) )
=> greater_or_equal(end_time(X0),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_environment_end_point) ).
fof(f7,axiom,
! [X0] :
( environment(X0)
=> greater_or_equal(critical_point(X0),start_time(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_time_of_critical_point) ).
fof(f8,axiom,
! [X0,X1,X2] :
( ( greater(X0,X1)
& greater(X1,X2) )
=> greater(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_greater_transitivity) ).
fof(f9,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(f11,axiom,
! [X0,X1] :
( ( environment(X0)
& in_environment(X0,X1)
& greater(X1,critical_point(X0)) )
=> selection_favors(efficient_producers,first_movers,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l8) ).
fof(f12,conjecture,
! [X0] :
( ( observational_period(X0)
& slow_change(X0) )
=> selection_favors(efficient_producers,first_movers,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_t8) ).
fof(f13,negated_conjecture,
~ ! [X0] :
( ( observational_period(X0)
& slow_change(X0) )
=> selection_favors(efficient_producers,first_movers,X0) ),
inference(negated_conjecture,[status(cth)],[f12]) ).
fof(f14,plain,
! [X0] :
( selection_favors(efficient_producers,first_movers,X0)
| ~ observational_period(X0)
| ~ propagation_strategy(first_movers)
| ~ propagation_strategy(efficient_producers)
| ? [X1] :
( ~ selection_favors(efficient_producers,first_movers,end_time(X1))
& environment(X1)
& in_environment(X0,X1) ) ),
inference(ennf_transformation,[],[f1]) ).
fof(f15,plain,
! [X0] :
( selection_favors(efficient_producers,first_movers,X0)
| ~ observational_period(X0)
| ~ propagation_strategy(first_movers)
| ~ propagation_strategy(efficient_producers)
| ? [X1] :
( ~ selection_favors(efficient_producers,first_movers,end_time(X1))
& environment(X1)
& in_environment(X0,X1) ) ),
inference(flattening,[],[f14]) ).
fof(f16,plain,
! [X0] :
( ! [X1] :
( ? [X2] :
( in_environment(X1,X2)
& greater(X2,critical_point(X1)) )
| ~ environment(X1)
| ~ in_environment(X0,X1) )
| ~ observational_period(X0)
| ~ slow_change(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f17,plain,
! [X0] :
( ! [X1] :
( ? [X2] :
( in_environment(X1,X2)
& greater(X2,critical_point(X1)) )
| ~ environment(X1)
| ~ in_environment(X0,X1) )
| ~ observational_period(X0)
| ~ slow_change(X0) ),
inference(flattening,[],[f16]) ).
fof(f18,plain,
! [X0,X1] :
( in_environment(X0,X1)
| ~ environment(X0)
| ~ greater_or_equal(X1,start_time(X0))
| ~ greater_or_equal(end_time(X0),X1) ),
inference(ennf_transformation,[],[f5]) ).
fof(f19,plain,
! [X0,X1] :
( in_environment(X0,X1)
| ~ environment(X0)
| ~ greater_or_equal(X1,start_time(X0))
| ~ greater_or_equal(end_time(X0),X1) ),
inference(flattening,[],[f18]) ).
fof(f20,plain,
! [X0,X1] :
( greater_or_equal(end_time(X0),X1)
| ~ environment(X0)
| ~ in_environment(X0,X1) ),
inference(ennf_transformation,[],[f6]) ).
fof(f21,plain,
! [X0,X1] :
( greater_or_equal(end_time(X0),X1)
| ~ environment(X0)
| ~ in_environment(X0,X1) ),
inference(flattening,[],[f20]) ).
fof(f22,plain,
! [X0] :
( greater_or_equal(critical_point(X0),start_time(X0))
| ~ environment(X0) ),
inference(ennf_transformation,[],[f7]) ).
fof(f23,plain,
! [X0,X1,X2] :
( greater(X0,X2)
| ~ greater(X0,X1)
| ~ greater(X1,X2) ),
inference(ennf_transformation,[],[f8]) ).
fof(f24,plain,
! [X0,X1,X2] :
( greater(X0,X2)
| ~ greater(X0,X1)
| ~ greater(X1,X2) ),
inference(flattening,[],[f23]) ).
fof(f27,plain,
! [X0,X1] :
( selection_favors(efficient_producers,first_movers,X1)
| ~ environment(X0)
| ~ in_environment(X0,X1)
| ~ greater(X1,critical_point(X0)) ),
inference(ennf_transformation,[],[f11]) ).
fof(f28,plain,
! [X0,X1] :
( selection_favors(efficient_producers,first_movers,X1)
| ~ environment(X0)
| ~ in_environment(X0,X1)
| ~ greater(X1,critical_point(X0)) ),
inference(flattening,[],[f27]) ).
fof(f29,plain,
? [X0] :
( ~ selection_favors(efficient_producers,first_movers,X0)
& observational_period(X0)
& slow_change(X0) ),
inference(ennf_transformation,[],[f13]) ).
fof(f30,plain,
? [X0] :
( ~ selection_favors(efficient_producers,first_movers,X0)
& observational_period(X0)
& slow_change(X0) ),
inference(flattening,[],[f29]) ).
fof(f31,plain,
! [X0] :
( selection_favors(efficient_producers,first_movers,X0)
| ~ observational_period(X0)
| ~ propagation_strategy(first_movers)
| ~ propagation_strategy(efficient_producers)
| ( ~ selection_favors(efficient_producers,first_movers,end_time(sK0(X0)))
& environment(sK0(X0))
& in_environment(X0,sK0(X0)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X1,sK0(X0))],[f15]) ).
fof(f32,plain,
! [X0] :
( ! [X1] :
( ( in_environment(X1,sK1(X1))
& greater(sK1(X1),critical_point(X1)) )
| ~ environment(X1)
| ~ in_environment(X0,X1) )
| ~ observational_period(X0)
| ~ slow_change(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(X2,sK1(X1))],[f17]) ).
fof(f33,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,[],[f9]) ).
fof(f34,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,[],[f33]) ).
fof(f35,plain,
( ~ selection_favors(efficient_producers,first_movers,sK2)
& observational_period(sK2)
& slow_change(sK2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(X0,sK2)],[f30]) ).
fof(f36,plain,
! [X0] :
( selection_favors(efficient_producers,first_movers,X0)
| ~ observational_period(X0)
| ~ propagation_strategy(first_movers)
| ~ propagation_strategy(efficient_producers)
| in_environment(X0,sK0(X0)) ),
inference(cnf_transformation,[],[f31]) ).
fof(f37,plain,
! [X0] :
( selection_favors(efficient_producers,first_movers,X0)
| ~ observational_period(X0)
| ~ propagation_strategy(first_movers)
| ~ propagation_strategy(efficient_producers)
| environment(sK0(X0)) ),
inference(cnf_transformation,[],[f31]) ).
fof(f38,plain,
! [X0] :
( selection_favors(efficient_producers,first_movers,X0)
| ~ observational_period(X0)
| ~ propagation_strategy(first_movers)
| ~ propagation_strategy(efficient_producers)
| ~ selection_favors(efficient_producers,first_movers,end_time(sK0(X0))) ),
inference(cnf_transformation,[],[f31]) ).
fof(f39,plain,
! [X0,X1] :
( ~ slow_change(X0)
| ~ environment(X1)
| ~ in_environment(X0,X1)
| ~ observational_period(X0)
| greater(sK1(X1),critical_point(X1)) ),
inference(cnf_transformation,[],[f32]) ).
fof(f40,plain,
! [X0,X1] :
( in_environment(X1,sK1(X1))
| ~ environment(X1)
| ~ in_environment(X0,X1)
| ~ observational_period(X0)
| ~ slow_change(X0) ),
inference(cnf_transformation,[],[f32]) ).
fof(f41,plain,
propagation_strategy(first_movers),
inference(cnf_transformation,[],[f3]) ).
fof(f42,plain,
propagation_strategy(efficient_producers),
inference(cnf_transformation,[],[f4]) ).
fof(f43,plain,
! [X0,X1] :
( ~ environment(X0)
| in_environment(X0,X1)
| ~ greater_or_equal(X1,start_time(X0))
| ~ greater_or_equal(end_time(X0),X1) ),
inference(cnf_transformation,[],[f19]) ).
fof(f44,plain,
! [X0,X1] :
( greater_or_equal(end_time(X0),X1)
| ~ environment(X0)
| ~ in_environment(X0,X1) ),
inference(cnf_transformation,[],[f21]) ).
fof(f45,plain,
! [X0] :
( greater_or_equal(critical_point(X0),start_time(X0))
| ~ environment(X0) ),
inference(cnf_transformation,[],[f22]) ).
fof(f46,plain,
! [X2,X0,X1] :
( ~ greater(X0,X1)
| greater(X0,X2)
| ~ greater(X1,X2) ),
inference(cnf_transformation,[],[f24]) ).
fof(f47,plain,
! [X0,X1] :
( greater(X0,X1)
| X0 = X1
| ~ greater_or_equal(X0,X1) ),
inference(cnf_transformation,[],[f34]) ).
fof(f48,plain,
! [X0,X1] :
( greater_or_equal(X0,X1)
| X0 != X1 ),
inference(cnf_transformation,[],[f34]) ).
fof(f49,plain,
! [X0,X1] :
( greater_or_equal(X0,X1)
| ~ greater(X0,X1) ),
inference(cnf_transformation,[],[f34]) ).
fof(f51,plain,
! [X0,X1] :
( ~ greater(X1,critical_point(X0))
| ~ environment(X0)
| ~ in_environment(X0,X1)
| selection_favors(efficient_producers,first_movers,X1) ),
inference(cnf_transformation,[],[f28]) ).
fof(f52,plain,
slow_change(sK2),
inference(cnf_transformation,[],[f35]) ).
fof(f53,plain,
observational_period(sK2),
inference(cnf_transformation,[],[f35]) ).
fof(f54,plain,
~ selection_favors(efficient_producers,first_movers,sK2),
inference(cnf_transformation,[],[f35]) ).
fof(f55,plain,
! [X1] : greater_or_equal(X1,X1),
inference(equality_resolution,[],[f48]) ).
fof(f57,definition,
( spl3_1
<=> propagation_strategy(efficient_producers) ),
introduced(definition,[new_symbols(definition,[spl3_1])],[avatar_definition]) ).
fof(f61,definition,
( spl3_2
<=> propagation_strategy(first_movers) ),
introduced(definition,[new_symbols(definition,[spl3_2])],[avatar_definition]) ).
fof(f65,definition,
( spl3_3
<=> ! [X0] :
( selection_favors(efficient_producers,first_movers,X0)
| in_environment(X0,sK0(X0))
| ~ observational_period(X0) ) ),
introduced(definition,[new_symbols(definition,[spl3_3])],[avatar_definition]) ).
fof(f66,plain,
( ! [X0] :
( in_environment(X0,sK0(X0))
| selection_favors(efficient_producers,first_movers,X0)
| ~ observational_period(X0) )
| ~ spl3_3 ),
inference(avatar_component_clause,[],[f65]) ).
fof(f67,plain,
( ~ spl3_1
| ~ spl3_2
| spl3_3 ),
inference(avatar_split_clause,[],[f36,f65,f61,f57]) ).
fof(f69,definition,
( spl3_4
<=> ! [X0] :
( selection_favors(efficient_producers,first_movers,X0)
| environment(sK0(X0))
| ~ observational_period(X0) ) ),
introduced(definition,[new_symbols(definition,[spl3_4])],[avatar_definition]) ).
fof(f70,plain,
( ! [X0] :
( environment(sK0(X0))
| selection_favors(efficient_producers,first_movers,X0)
| ~ observational_period(X0) )
| ~ spl3_4 ),
inference(avatar_component_clause,[],[f69]) ).
fof(f71,plain,
( ~ spl3_1
| ~ spl3_2
| spl3_4 ),
inference(avatar_split_clause,[],[f37,f69,f61,f57]) ).
fof(f73,definition,
( spl3_5
<=> ! [X0] :
( selection_favors(efficient_producers,first_movers,X0)
| ~ selection_favors(efficient_producers,first_movers,end_time(sK0(X0)))
| ~ observational_period(X0) ) ),
introduced(definition,[new_symbols(definition,[spl3_5])],[avatar_definition]) ).
fof(f74,plain,
( ! [X0] :
( ~ selection_favors(efficient_producers,first_movers,end_time(sK0(X0)))
| selection_favors(efficient_producers,first_movers,X0)
| ~ observational_period(X0) )
| ~ spl3_5 ),
inference(avatar_component_clause,[],[f73]) ).
fof(f75,plain,
( ~ spl3_1
| ~ spl3_2
| spl3_5 ),
inference(avatar_split_clause,[],[f38,f73,f61,f57]) ).
fof(f76,plain,
spl3_2,
inference(avatar_split_clause,[],[f41,f61]) ).
fof(f77,plain,
spl3_1,
inference(avatar_split_clause,[],[f42,f57]) ).
fof(f79,plain,
! [X0] :
( ~ environment(X0)
| ~ in_environment(sK2,X0)
| ~ observational_period(sK2)
| greater(sK1(X0),critical_point(X0)) ),
inference(resolution,[],[f39,f52]) ).
fof(f80,plain,
! [X0] :
( ~ environment(X0)
| ~ in_environment(sK2,X0)
| greater(sK1(X0),critical_point(X0)) ),
inference(forward_subsumption_resolution,[],[f79,f53]) ).
fof(f81,plain,
( ! [X0] :
( ~ in_environment(sK2,sK0(X0))
| greater(sK1(sK0(X0)),critical_point(sK0(X0)))
| selection_favors(efficient_producers,first_movers,X0)
| ~ observational_period(X0) )
| ~ spl3_4 ),
inference(resolution,[],[f80,f70]) ).
fof(f83,plain,
! [X2,X0,X1] :
( greater(X0,X2)
| ~ greater_or_equal(X0,X1)
| X0 = X1
| ~ greater(X1,X2) ),
inference(resolution,[],[f47,f46]) ).
fof(f84,plain,
( greater(sK1(sK0(sK2)),critical_point(sK0(sK2)))
| selection_favors(efficient_producers,first_movers,sK2)
| ~ observational_period(sK2)
| selection_favors(efficient_producers,first_movers,sK2)
| ~ observational_period(sK2)
| ~ spl3_3
| ~ spl3_4 ),
inference(resolution,[],[f81,f66]) ).
fof(f85,plain,
( greater(sK1(sK0(sK2)),critical_point(sK0(sK2)))
| selection_favors(efficient_producers,first_movers,sK2)
| ~ observational_period(sK2)
| ~ spl3_3
| ~ spl3_4 ),
inference(duplicate_literal_removal,[],[f84]) ).
fof(f86,plain,
( greater(sK1(sK0(sK2)),critical_point(sK0(sK2)))
| ~ observational_period(sK2)
| ~ spl3_3
| ~ spl3_4 ),
inference(forward_subsumption_resolution,[],[f85,f54]) ).
fof(f87,plain,
( greater(sK1(sK0(sK2)),critical_point(sK0(sK2)))
| ~ spl3_3
| ~ spl3_4 ),
inference(forward_subsumption_resolution,[],[f86,f53]) ).
fof(f88,plain,
( ! [X0,X1] :
( ~ observational_period(X0)
| ~ greater_or_equal(X1,start_time(sK0(X0)))
| ~ greater_or_equal(end_time(sK0(X0)),X1)
| selection_favors(efficient_producers,first_movers,X0)
| in_environment(sK0(X0),X1) )
| ~ spl3_4 ),
inference(resolution,[],[f43,f70]) ).
fof(f89,plain,
( ~ environment(sK0(sK2))
| ~ in_environment(sK0(sK2),sK1(sK0(sK2)))
| selection_favors(efficient_producers,first_movers,sK1(sK0(sK2)))
| ~ spl3_3
| ~ spl3_4 ),
inference(resolution,[],[f87,f51]) ).
fof(f92,definition,
( spl3_6
<=> selection_favors(efficient_producers,first_movers,sK1(sK0(sK2))) ),
introduced(definition,[new_symbols(definition,[spl3_6])],[avatar_definition]) ).
fof(f94,plain,
( selection_favors(efficient_producers,first_movers,sK1(sK0(sK2)))
| ~ spl3_6 ),
inference(avatar_component_clause,[],[f92]) ).
fof(f96,definition,
( spl3_7
<=> in_environment(sK0(sK2),sK1(sK0(sK2))) ),
introduced(definition,[new_symbols(definition,[spl3_7])],[avatar_definition]) ).
fof(f98,plain,
( ~ in_environment(sK0(sK2),sK1(sK0(sK2)))
| spl3_7 ),
inference(avatar_component_clause,[],[f96]) ).
fof(f100,definition,
( spl3_8
<=> environment(sK0(sK2)) ),
introduced(definition,[new_symbols(definition,[spl3_8])],[avatar_definition]) ).
fof(f101,plain,
( environment(sK0(sK2))
| ~ spl3_8 ),
inference(avatar_component_clause,[],[f100]) ).
fof(f102,plain,
( ~ environment(sK0(sK2))
| spl3_8 ),
inference(avatar_component_clause,[],[f100]) ).
fof(f103,plain,
( spl3_6
| ~ spl3_7
| ~ spl3_8
| ~ spl3_3
| ~ spl3_4 ),
inference(avatar_split_clause,[],[f89,f69,f65,f100,f96,f92]) ).
fof(f104,plain,
( ! [X0] :
( ~ environment(sK0(sK2))
| ~ in_environment(X0,sK0(sK2))
| ~ observational_period(X0)
| ~ slow_change(X0) )
| spl3_7 ),
inference(resolution,[],[f98,f40]) ).
fof(f106,definition,
( spl3_9
<=> ! [X0] :
( ~ in_environment(X0,sK0(sK2))
| ~ slow_change(X0)
| ~ observational_period(X0) ) ),
introduced(definition,[new_symbols(definition,[spl3_9])],[avatar_definition]) ).
fof(f107,plain,
( ! [X0] :
( ~ slow_change(X0)
| ~ in_environment(X0,sK0(sK2))
| ~ observational_period(X0) )
| ~ spl3_9 ),
inference(avatar_component_clause,[],[f106]) ).
fof(f108,plain,
( spl3_9
| ~ spl3_8
| spl3_7 ),
inference(avatar_split_clause,[],[f104,f96,f100,f106]) ).
fof(f109,plain,
! [X2,X0,X1] :
( selection_favors(efficient_producers,first_movers,X0)
| X0 = X1
| ~ greater(X1,critical_point(X2))
| ~ environment(X2)
| ~ in_environment(X2,X0)
| ~ greater_or_equal(X0,X1) ),
inference(resolution,[],[f83,f51]) ).
fof(f111,plain,
( selection_favors(efficient_producers,first_movers,sK2)
| ~ observational_period(sK2)
| ~ spl3_4
| spl3_8 ),
inference(resolution,[],[f102,f70]) ).
fof(f112,plain,
( ~ observational_period(sK2)
| ~ spl3_4
| spl3_8 ),
inference(forward_subsumption_resolution,[],[f111,f54]) ).
fof(f113,plain,
( $false
| ~ spl3_4
| spl3_8 ),
inference(forward_subsumption_resolution,[],[f112,f53]) ).
fof(f114,plain,
( ~ spl3_4
| spl3_8 ),
inference(avatar_contradiction_clause,[],[f113]) ).
fof(f119,plain,
( ! [X0] :
( ~ greater_or_equal(X0,start_time(sK0(sK2)))
| ~ greater_or_equal(end_time(sK0(sK2)),X0)
| selection_favors(efficient_producers,first_movers,sK2)
| in_environment(sK0(sK2),X0) )
| ~ spl3_4 ),
inference(resolution,[],[f88,f53]) ).
fof(f120,plain,
( ! [X0] :
( in_environment(sK0(sK2),X0)
| ~ greater_or_equal(end_time(sK0(sK2)),X0)
| ~ greater_or_equal(X0,start_time(sK0(sK2))) )
| ~ spl3_4 ),
inference(forward_subsumption_resolution,[],[f119,f54]) ).
fof(f121,plain,
( ~ in_environment(sK2,sK0(sK2))
| ~ observational_period(sK2)
| ~ spl3_9 ),
inference(resolution,[],[f107,f52]) ).
fof(f122,plain,
( ~ in_environment(sK2,sK0(sK2))
| ~ spl3_9 ),
inference(forward_subsumption_resolution,[],[f121,f53]) ).
fof(f133,plain,
( selection_favors(efficient_producers,first_movers,sK2)
| ~ observational_period(sK2)
| ~ spl3_3
| ~ spl3_9 ),
inference(resolution,[],[f122,f66]) ).
fof(f134,plain,
( ~ observational_period(sK2)
| ~ spl3_3
| ~ spl3_9 ),
inference(forward_subsumption_resolution,[],[f133,f54]) ).
fof(f135,plain,
( $false
| ~ spl3_3
| ~ spl3_9 ),
inference(forward_subsumption_resolution,[],[f134,f53]) ).
fof(f136,plain,
( ~ spl3_3
| ~ spl3_9 ),
inference(avatar_contradiction_clause,[],[f135]) ).
fof(f140,plain,
( ! [X2,X0,X1] :
( ~ observational_period(X0)
| ~ greater(X1,critical_point(X2))
| ~ environment(X2)
| ~ in_environment(X2,end_time(sK0(X0)))
| ~ greater_or_equal(end_time(sK0(X0)),X1)
| selection_favors(efficient_producers,first_movers,X0)
| end_time(sK0(X0)) = X1 )
| ~ spl3_5 ),
inference(resolution,[],[f109,f74]) ).
fof(f195,plain,
( ! [X0,X1] :
( ~ greater(X0,critical_point(X1))
| ~ environment(X1)
| ~ in_environment(X1,end_time(sK0(sK2)))
| ~ greater_or_equal(end_time(sK0(sK2)),X0)
| selection_favors(efficient_producers,first_movers,sK2)
| end_time(sK0(sK2)) = X0 )
| ~ spl3_5 ),
inference(resolution,[],[f140,f53]) ).
fof(f196,plain,
( ! [X0,X1] :
( ~ in_environment(X1,end_time(sK0(sK2)))
| ~ environment(X1)
| ~ greater(X0,critical_point(X1))
| ~ greater_or_equal(end_time(sK0(sK2)),X0)
| end_time(sK0(sK2)) = X0 )
| ~ spl3_5 ),
inference(forward_subsumption_resolution,[],[f195,f54]) ).
fof(f202,definition,
( spl3_18
<=> greater_or_equal(critical_point(sK0(sK2)),start_time(sK0(sK2))) ),
introduced(definition,[new_symbols(definition,[spl3_18])],[avatar_definition]) ).
fof(f203,plain,
( greater_or_equal(critical_point(sK0(sK2)),start_time(sK0(sK2)))
| ~ spl3_18 ),
inference(avatar_component_clause,[],[f202]) ).
fof(f204,plain,
( ~ greater_or_equal(critical_point(sK0(sK2)),start_time(sK0(sK2)))
| spl3_18 ),
inference(avatar_component_clause,[],[f202]) ).
fof(f206,definition,
( spl3_19
<=> critical_point(sK0(sK2)) = start_time(sK0(sK2)) ),
introduced(definition,[new_symbols(definition,[spl3_19])],[avatar_definition]) ).
fof(f207,plain,
( critical_point(sK0(sK2)) != start_time(sK0(sK2))
| spl3_19 ),
inference(avatar_component_clause,[],[f206]) ).
fof(f208,plain,
( critical_point(sK0(sK2)) = start_time(sK0(sK2))
| ~ spl3_19 ),
inference(avatar_component_clause,[],[f206]) ).
fof(f212,plain,
( ~ environment(sK0(sK2))
| spl3_18 ),
inference(resolution,[],[f204,f45]) ).
fof(f214,plain,
( $false
| ~ spl3_8
| spl3_18 ),
inference(forward_subsumption_resolution,[],[f212,f101]) ).
fof(f215,plain,
( ~ spl3_8
| spl3_18 ),
inference(avatar_contradiction_clause,[],[f214]) ).
fof(f237,plain,
( ! [X0] :
( ~ environment(sK0(sK2))
| ~ greater(X0,critical_point(sK0(sK2)))
| ~ greater_or_equal(end_time(sK0(sK2)),X0)
| end_time(sK0(sK2)) = X0
| ~ greater_or_equal(end_time(sK0(sK2)),end_time(sK0(sK2)))
| ~ greater_or_equal(end_time(sK0(sK2)),start_time(sK0(sK2))) )
| ~ spl3_4
| ~ spl3_5 ),
inference(resolution,[],[f196,f120]) ).
fof(f238,plain,
( ! [X0] :
( ~ greater(X0,critical_point(sK0(sK2)))
| ~ greater_or_equal(end_time(sK0(sK2)),X0)
| end_time(sK0(sK2)) = X0
| ~ greater_or_equal(end_time(sK0(sK2)),end_time(sK0(sK2)))
| ~ greater_or_equal(end_time(sK0(sK2)),start_time(sK0(sK2))) )
| ~ spl3_4
| ~ spl3_5
| ~ spl3_8 ),
inference(forward_subsumption_resolution,[],[f237,f101]) ).
fof(f239,plain,
( ! [X0] :
( ~ greater(X0,critical_point(sK0(sK2)))
| ~ greater_or_equal(end_time(sK0(sK2)),X0)
| end_time(sK0(sK2)) = X0
| ~ greater_or_equal(end_time(sK0(sK2)),start_time(sK0(sK2))) )
| ~ spl3_4
| ~ spl3_5
| ~ spl3_8 ),
inference(forward_subsumption_resolution,[],[f238,f55]) ).
fof(f240,plain,
( ! [X0] :
( ~ greater_or_equal(end_time(sK0(sK2)),critical_point(sK0(sK2)))
| ~ greater(X0,critical_point(sK0(sK2)))
| ~ greater_or_equal(end_time(sK0(sK2)),X0)
| end_time(sK0(sK2)) = X0 )
| ~ spl3_4
| ~ spl3_5
| ~ spl3_8
| ~ spl3_19 ),
inference(forward_demodulation,[],[f239,f208]) ).
fof(f242,definition,
( spl3_20
<=> ! [X0] :
( ~ greater(X0,critical_point(sK0(sK2)))
| end_time(sK0(sK2)) = X0
| ~ greater_or_equal(end_time(sK0(sK2)),X0) ) ),
introduced(definition,[new_symbols(definition,[spl3_20])],[avatar_definition]) ).
fof(f243,plain,
( ! [X0] :
( ~ greater_or_equal(end_time(sK0(sK2)),X0)
| end_time(sK0(sK2)) = X0
| ~ greater(X0,critical_point(sK0(sK2))) )
| ~ spl3_20 ),
inference(avatar_component_clause,[],[f242]) ).
fof(f245,definition,
( spl3_21
<=> greater_or_equal(end_time(sK0(sK2)),critical_point(sK0(sK2))) ),
introduced(definition,[new_symbols(definition,[spl3_21])],[avatar_definition]) ).
fof(f246,plain,
( greater_or_equal(end_time(sK0(sK2)),critical_point(sK0(sK2)))
| ~ spl3_21 ),
inference(avatar_component_clause,[],[f245]) ).
fof(f247,plain,
( ~ greater_or_equal(end_time(sK0(sK2)),critical_point(sK0(sK2)))
| spl3_21 ),
inference(avatar_component_clause,[],[f245]) ).
fof(f248,plain,
( spl3_20
| ~ spl3_21
| ~ spl3_4
| ~ spl3_5
| ~ spl3_8
| ~ spl3_19 ),
inference(avatar_split_clause,[],[f240,f206,f100,f73,f69,f245,f242]) ).
fof(f251,plain,
( ~ greater(end_time(sK0(sK2)),critical_point(sK0(sK2)))
| spl3_21 ),
inference(resolution,[],[f247,f49]) ).
fof(f277,plain,
( ! [X0] :
( ~ greater_or_equal(end_time(sK0(sK2)),X0)
| end_time(sK0(sK2)) = X0
| ~ greater(X0,critical_point(sK0(sK2))) )
| spl3_21 ),
inference(resolution,[],[f251,f83]) ).
fof(f279,plain,
( spl3_20
| spl3_21 ),
inference(avatar_split_clause,[],[f277,f245,f242]) ).
fof(f292,plain,
( ! [X0] :
( end_time(sK0(sK2)) = X0
| ~ greater(X0,critical_point(sK0(sK2)))
| ~ environment(sK0(sK2))
| ~ in_environment(sK0(sK2),X0) )
| ~ spl3_20 ),
inference(resolution,[],[f243,f44]) ).
fof(f295,plain,
( ! [X0] :
( ~ in_environment(sK0(sK2),X0)
| ~ greater(X0,critical_point(sK0(sK2)))
| end_time(sK0(sK2)) = X0 )
| ~ spl3_8
| ~ spl3_20 ),
inference(forward_subsumption_resolution,[],[f292,f101]) ).
fof(f304,plain,
( ! [X0] :
( ~ greater(sK1(sK0(sK2)),critical_point(sK0(sK2)))
| sK1(sK0(sK2)) = end_time(sK0(sK2))
| ~ environment(sK0(sK2))
| ~ in_environment(X0,sK0(sK2))
| ~ observational_period(X0)
| ~ slow_change(X0) )
| ~ spl3_8
| ~ spl3_20 ),
inference(resolution,[],[f295,f40]) ).
fof(f305,plain,
( ! [X0] :
( sK1(sK0(sK2)) = end_time(sK0(sK2))
| ~ environment(sK0(sK2))
| ~ in_environment(X0,sK0(sK2))
| ~ observational_period(X0)
| ~ slow_change(X0) )
| ~ spl3_8
| ~ spl3_20 ),
inference(forward_subsumption_resolution,[],[f304,f39]) ).
fof(f324,plain,
( ! [X0] :
( sK1(sK0(sK2)) = end_time(sK0(sK2))
| ~ in_environment(X0,sK0(sK2))
| ~ observational_period(X0)
| ~ slow_change(X0) )
| ~ spl3_8
| ~ spl3_20 ),
inference(forward_subsumption_resolution,[],[f305,f101]) ).
fof(f326,definition,
( spl3_28
<=> sK1(sK0(sK2)) = end_time(sK0(sK2)) ),
introduced(definition,[new_symbols(definition,[spl3_28])],[avatar_definition]) ).
fof(f328,plain,
( sK1(sK0(sK2)) = end_time(sK0(sK2))
| ~ spl3_28 ),
inference(avatar_component_clause,[],[f326]) ).
fof(f329,plain,
( spl3_9
| spl3_28
| ~ spl3_8
| ~ spl3_20 ),
inference(avatar_split_clause,[],[f324,f242,f100,f326,f106]) ).
fof(f339,plain,
( selection_favors(efficient_producers,first_movers,end_time(sK0(sK2)))
| ~ spl3_6
| ~ spl3_28 ),
inference(superposition,[],[f94,f328]) ).
fof(f363,definition,
( spl3_31
<=> critical_point(sK0(sK2)) = end_time(sK0(sK2)) ),
introduced(definition,[new_symbols(definition,[spl3_31])],[avatar_definition]) ).
fof(f364,plain,
( critical_point(sK0(sK2)) != end_time(sK0(sK2))
| spl3_31 ),
inference(avatar_component_clause,[],[f363]) ).
fof(f365,plain,
( critical_point(sK0(sK2)) = end_time(sK0(sK2))
| ~ spl3_31 ),
inference(avatar_component_clause,[],[f363]) ).
fof(f368,plain,
( selection_favors(efficient_producers,first_movers,sK2)
| ~ observational_period(sK2)
| ~ spl3_5
| ~ spl3_6
| ~ spl3_28 ),
inference(resolution,[],[f339,f74]) ).
fof(f369,plain,
( ~ observational_period(sK2)
| ~ spl3_5
| ~ spl3_6
| ~ spl3_28 ),
inference(forward_subsumption_resolution,[],[f368,f54]) ).
fof(f370,plain,
( $false
| ~ spl3_5
| ~ spl3_6
| ~ spl3_28 ),
inference(forward_subsumption_resolution,[],[f369,f53]) ).
fof(f371,plain,
( ~ spl3_5
| ~ spl3_6
| ~ spl3_28 ),
inference(avatar_contradiction_clause,[],[f370]) ).
fof(f373,definition,
( spl3_32
<=> greater_or_equal(end_time(sK0(sK2)),start_time(sK0(sK2))) ),
introduced(definition,[new_symbols(definition,[spl3_32])],[avatar_definition]) ).
fof(f375,plain,
( ~ greater_or_equal(end_time(sK0(sK2)),start_time(sK0(sK2)))
| spl3_32 ),
inference(avatar_component_clause,[],[f373]) ).
fof(f376,plain,
( ~ spl3_32
| spl3_20
| ~ spl3_4
| ~ spl3_5
| ~ spl3_8 ),
inference(avatar_split_clause,[],[f239,f100,f73,f69,f242,f373]) ).
fof(f391,plain,
( ~ greater(end_time(sK0(sK2)),start_time(sK0(sK2)))
| spl3_32 ),
inference(resolution,[],[f375,f49]) ).
fof(f419,plain,
( greater_or_equal(end_time(sK0(sK2)),start_time(sK0(sK2)))
| ~ environment(sK0(sK2))
| ~ spl3_31 ),
inference(superposition,[],[f45,f365]) ).
fof(f420,plain,
( ~ environment(sK0(sK2))
| ~ spl3_31
| spl3_32 ),
inference(forward_subsumption_resolution,[],[f419,f375]) ).
fof(f424,plain,
( $false
| ~ spl3_8
| ~ spl3_31
| spl3_32 ),
inference(forward_subsumption_resolution,[],[f420,f101]) ).
fof(f425,plain,
( ~ spl3_8
| ~ spl3_31
| spl3_32 ),
inference(avatar_contradiction_clause,[],[f424]) ).
fof(f434,plain,
( ! [X0] :
( ~ greater_or_equal(end_time(sK0(sK2)),X0)
| end_time(sK0(sK2)) = X0
| ~ greater(X0,start_time(sK0(sK2))) )
| spl3_32 ),
inference(resolution,[],[f391,f83]) ).
fof(f513,plain,
( critical_point(sK0(sK2)) = end_time(sK0(sK2))
| ~ greater(critical_point(sK0(sK2)),start_time(sK0(sK2)))
| ~ spl3_21
| spl3_32 ),
inference(resolution,[],[f434,f246]) ).
fof(f517,plain,
( ~ greater(critical_point(sK0(sK2)),start_time(sK0(sK2)))
| ~ spl3_21
| spl3_31
| spl3_32 ),
inference(forward_subsumption_resolution,[],[f513,f364]) ).
fof(f525,plain,
( critical_point(sK0(sK2)) = start_time(sK0(sK2))
| ~ greater_or_equal(critical_point(sK0(sK2)),start_time(sK0(sK2)))
| ~ spl3_21
| spl3_31
| spl3_32 ),
inference(resolution,[],[f517,f47]) ).
fof(f526,plain,
( ~ greater_or_equal(critical_point(sK0(sK2)),start_time(sK0(sK2)))
| spl3_19
| ~ spl3_21
| spl3_31
| spl3_32 ),
inference(forward_subsumption_resolution,[],[f525,f207]) ).
fof(f527,plain,
( $false
| ~ spl3_18
| spl3_19
| ~ spl3_21
| spl3_31
| spl3_32 ),
inference(forward_subsumption_resolution,[],[f526,f203]) ).
fof(f528,plain,
( ~ spl3_18
| spl3_19
| ~ spl3_21
| spl3_31
| spl3_32 ),
inference(avatar_contradiction_clause,[],[f527]) ).
cnf(s1,plain,
( ~ spl3_1
| ~ spl3_2
| spl3_3 ),
inference(sat_conversion,[],[f67]) ).
cnf(s2,plain,
( ~ spl3_1
| ~ spl3_2
| spl3_4 ),
inference(sat_conversion,[],[f71]) ).
cnf(s3,plain,
( ~ spl3_1
| ~ spl3_2
| spl3_5 ),
inference(sat_conversion,[],[f75]) ).
cnf(s4,plain,
spl3_2,
inference(sat_conversion,[],[f76]) ).
cnf(s5,plain,
spl3_1,
inference(sat_conversion,[],[f77]) ).
cnf(s6,plain,
( ~ spl3_3
| ~ spl3_4
| spl3_6
| ~ spl3_7
| ~ spl3_8 ),
inference(sat_conversion,[],[f103]) ).
cnf(s7,plain,
( spl3_7
| ~ spl3_8
| spl3_9 ),
inference(sat_conversion,[],[f108]) ).
cnf(s8,plain,
( ~ spl3_4
| spl3_8 ),
inference(sat_conversion,[],[f114]) ).
cnf(s10,plain,
( ~ spl3_3
| ~ spl3_9 ),
inference(sat_conversion,[],[f136]) ).
cnf(s15,plain,
( ~ spl3_8
| spl3_18 ),
inference(sat_conversion,[],[f215]) ).
cnf(s17,plain,
( ~ spl3_4
| ~ spl3_5
| ~ spl3_8
| ~ spl3_19
| spl3_20
| ~ spl3_21 ),
inference(sat_conversion,[],[f248]) ).
cnf(s19,plain,
( spl3_20
| spl3_21 ),
inference(sat_conversion,[],[f279]) ).
cnf(s21,plain,
( ~ spl3_8
| spl3_9
| ~ spl3_20
| spl3_28 ),
inference(sat_conversion,[],[f329]) ).
cnf(s29,plain,
( ~ spl3_5
| ~ spl3_6
| ~ spl3_28 ),
inference(sat_conversion,[],[f371]) ).
cnf(s30,plain,
( ~ spl3_4
| ~ spl3_5
| ~ spl3_8
| spl3_20
| ~ spl3_32 ),
inference(sat_conversion,[],[f376]) ).
cnf(s37,plain,
( ~ spl3_8
| ~ spl3_31
| spl3_32 ),
inference(sat_conversion,[],[f425]) ).
cnf(s38,plain,
( ~ spl3_18
| spl3_19
| ~ spl3_21
| spl3_31
| spl3_32 ),
inference(sat_conversion,[],[f528]) ).
cnf(s39,plain,
spl3_5,
inference(rat,[],[s3,s4,s5]) ).
cnf(s40,plain,
spl3_4,
inference(rat,[],[s2,s4,s5]) ).
cnf(s41,plain,
spl3_8,
inference(rat,[],[s8,s40]) ).
cnf(s42,plain,
spl3_18,
inference(rat,[],[s15,s41]) ).
cnf(s43,plain,
spl3_3,
inference(rat,[],[s1,s4,s5]) ).
cnf(s44,plain,
~ spl3_9,
inference(rat,[],[s10,s43]) ).
cnf(s45,plain,
spl3_7,
inference(rat,[],[s7,s41,s44]) ).
cnf(s46,plain,
spl3_6,
inference(rat,[],[s6,s41,s43,s40,s45]) ).
cnf(s47,plain,
~ spl3_28,
inference(rat,[],[s29,s39,s46]) ).
cnf(s48,plain,
~ spl3_20,
inference(rat,[],[s21,s44,s41,s47]) ).
cnf(s49,plain,
spl3_21,
inference(rat,[],[s19,s48]) ).
cnf(s51,plain,
~ spl3_32,
inference(rat,[],[s30,s41,s40,s39,s48]) ).
cnf(s52,plain,
~ spl3_19,
inference(rat,[],[s17,s49,s41,s40,s39,s48]) ).
cnf(s53,plain,
~ spl3_31,
inference(rat,[],[s37,s41,s51]) ).
cnf(s54,plain,
$false,
inference(rat,[],[s38,s51,s49,s42,s53,s52]) ).
fof(f529,plain,
$false,
inference(avatar_sat_refutation,[],[s54]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : MGT039+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.38 % Computer : n014.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Sun Sep 27 17:23:47 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.41 Running first-order theorem proving
% 0.11/0.41 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.69/0.92 % (1040293)Detected formulas, will run a generic FOF schedule.
% 0.69/0.92 % (1040303)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1197807051:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 0.69/0.92 % (1040304)dis-21_1_sil=8000:lcm=predicate:random_seed=3522258647:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 0.69/0.92 % (1040300)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=46871116:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 0.69/0.92 % (1040299)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=3045505588:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 0.69/0.92 % (1040301)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=51009739:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 0.69/0.92 % (1040302)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2402334691:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 0.69/0.92 % (1040298)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=788424960:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 0.69/0.92 % (1040303)First to succeed.
% 0.69/0.92 % (1040301)Refutation not found, incomplete strategy
% 0.69/0.92 % (1040301)------------------------------
% 0.69/0.92 % (1040301)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.69/0.92 % (1040301)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.69/0.92 % (1040301)CaDiCaL version: 2.1.3
% 0.69/0.92 % (1040301)Termination reason: Refutation not found, incomplete strategy
% 0.69/0.92 % (1040301)Time elapsed: 0.001 s
% 0.69/0.92 % (1040301)Peak memory usage: 87 MB
% 0.69/0.92 % (1040303)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1040293"
% 0.69/0.92 % (1040302)Instruction limit reached!
% 0.69/0.92 % (1040302)------------------------------
% 0.69/0.92 % (1040302)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.69/0.92 % (1040302)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.69/0.92 % (1040302)CaDiCaL version: 2.1.3
% 0.69/0.92 % (1040302)Termination reason: Instruction limit
% 0.69/0.92 % (1040302)Termination phase: Saturation
% 0.69/0.92 % (1040302)Time elapsed: 0.049 s
% 0.69/0.92 % (1040302)Peak memory usage: 87 MB
% 0.69/0.92 % (1040302)Instructions burned: 121 (million)
% 0.69/0.92 % (1040304)Instruction limit reached!
% 0.69/0.92 % (1040304)------------------------------
% 0.69/0.92 % (1040304)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.69/0.92 % (1040304)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.69/0.92 % (1040304)CaDiCaL version: 2.1.3
% 0.69/0.92 % (1040304)Termination reason: Instruction limit
% 0.69/0.92 % (1040304)Termination phase: Saturation
% 0.69/0.92 % (1040304)Time elapsed: 0.050 s
% 0.69/0.92 % (1040304)Peak memory usage: 90 MB
% 0.69/0.92 % (1040304)Instructions burned: 131 (million)
% 0.69/0.92 % (1040303)Refutation found. Thanks to Tanya!
% 0.69/0.92 % SZS status Theorem for theBenchmark
% 0.69/0.92 % SZS output start Proof for theBenchmark
% See solution above
% 0.69/1.01 % (1040303)------------------------------
% 0.69/1.01 % (1040303)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.69/1.01 % (1040303)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.69/1.01 % (1040303)CaDiCaL version: 2.1.3
% 0.69/1.01 % (1040303)Termination reason: Refutation
% 0.69/1.01 % (1040303)Time elapsed: 0.010 s
% 0.69/1.01 % (1040303)Peak memory usage: 89 MB
% 0.69/1.01 % (1040303)Instructions burned: 24 (million)
% 0.69/1.01 % (1040303)------------------------------
% 0.69/1.01 % (1040303)------------------------------
% 0.69/1.01 % (1040293)Success in time 0.3 s
% 0.69/1.01 % Vampire exiting
%------------------------------------------------------------------------------