%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : MGT026-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n019.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 : Fri Sep 25 02:12:24 PM UTC 2026
% Result : Unsatisfiable 2.20s 1.28s
% Output : CNFRefutation 2.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 16
% Syntax : Number of formulae : 79 ( 16 unt; 0 def)
% Number of atoms : 275 ( 52 equ)
% Maximal formula atoms : 11 ( 3 avg)
% Number of connectives : 375 ( 192 ~; 183 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 11 ( 9 usr; 3 prp; 0-4 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-2 aty)
% Number of variables : 106 ( 0 sgn 106 !; 0 ?; 68 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X3,X0,X1] :
( selection_favors(X2,X1,X3)
| ~ greater(growth_rate(X2,X3),growth_rate(X1,X3))
| ~ subpopulations(X1,X2,X0,X3)
| ~ environment(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp1_high_growth_rates_28) ).
fof(f2,axiom,
! [X2,X3,X0,X1] :
( selection_favors(X1,X3,X2)
| cardinality_at_time(X3,X2) != zero
| ~ greater(cardinality_at_time(X1,X2),zero)
| ~ subpopulation(X3,X0,X2)
| ~ subpopulation(X1,X0,X2)
| ~ environment(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp2_favour_members_29) ).
fof(f3,plain,
! [X2,X3,X0,X1] :
( selection_favors(X1,X3,X2)
| zero != cardinality_at_time(X3,X2)
| ~ greater(cardinality_at_time(X1,X2),zero)
| ~ subpopulation(X3,X0,X2)
| ~ subpopulation(X1,X0,X2)
| ~ environment(X0) ),
inference(reorient_equations,[],[f2]) ).
fof(f4,axiom,
! [X0,X1] :
( subpopulations(first_movers,efficient_producers,X0,X1)
| ~ greater(cardinality_at_time(efficient_producers,X1),zero)
| ~ greater(cardinality_at_time(first_movers,X1),zero)
| ~ in_environment(X0,X1)
| ~ environment(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_non_empty_fm_and_ep_30) ).
fof(f5,axiom,
! [X0,X1] :
( greater_or_equal(cardinality_at_time(first_movers,X1),zero)
| ~ in_environment(X0,X1)
| ~ environment(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_first_movers_exist_31) ).
fof(f6,axiom,
! [X0,X1] :
( subpopulation(first_movers,X0,X1)
| ~ in_environment(X0,X1)
| ~ environment(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_subpopulations_32) ).
fof(f7,axiom,
! [X0,X1] :
( subpopulation(efficient_producers,X0,X1)
| ~ in_environment(X0,X1)
| ~ environment(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_subpopulations_33) ).
fof(f8,axiom,
! [X0] :
( greater_or_equal(critical_point(X0),appear(efficient_producers,X0))
| ~ environment(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_critical_point_after_EP_34) ).
fof(f9,axiom,
! [X2,X0,X1] :
( greater(X0,X2)
| ~ greater(X1,X2)
| ~ greater(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_greater_transitivity_35) ).
fof(f10,axiom,
! [X0,X1] :
( X0 = X1
| greater(X0,X1)
| ~ greater_or_equal(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_greater_or_equal_36) ).
fof(f11,axiom,
! [X0,X1] :
( greater_or_equal(X0,X1)
| ~ greater(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_greater_or_equal_37) ).
fof(f15,axiom,
! [X2,X0,X1] :
( greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2))
| ~ greater(X2,X1)
| ~ subpopulations(first_movers,efficient_producers,X0,X2)
| X1 != critical_point(X0)
| ~ environment(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_40) ).
fof(f16,plain,
! [X2,X0,X1] :
( greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2))
| ~ greater(X2,X1)
| ~ subpopulations(first_movers,efficient_producers,X0,X2)
| critical_point(X0) != X1
| ~ environment(X0) ),
inference(reorient_equations,[],[f15]) ).
fof(f17,axiom,
! [X0,X1] :
( greater(cardinality_at_time(efficient_producers,X1),zero)
| ~ greater_or_equal(X1,appear(efficient_producers,X0))
| ~ in_environment(X0,X1)
| ~ environment(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t6_41) ).
fof(f18,negated_conjecture,
environment(sk1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_l8_42) ).
fof(f19,negated_conjecture,
in_environment(sk1,sk2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_l8_43) ).
fof(f20,negated_conjecture,
greater(sk2,critical_point(sk1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_l8_44) ).
fof(f21,negated_conjecture,
~ selection_favors(efficient_producers,first_movers,sk2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_l8_45) ).
fof(f24,plain,
! [X2,X0] :
( greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2))
| ~ greater(X2,critical_point(X0))
| ~ subpopulations(first_movers,efficient_producers,X0,X2)
| ~ environment(X0) ),
inference(equality_resolution,[],[f16]) ).
tcf(c_67,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( selection_favors(X0,X2,X1)
| ~ environment(X3)
| ~ subpopulations(X2,X0,X3,X1)
| ~ greater(growth_rate(X0,X1),growth_rate(X2,X1)) ),
inference(cnf_transformation,[],[f1]) ).
tcf(c_68,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( selection_favors(X2,X0,X1)
| ~ environment(X3)
| ~ subpopulation(X2,X3,X1)
| ~ subpopulation(X0,X3,X1)
| ~ greater(cardinality_at_time(X2,X1),zero)
| ( cardinality_at_time(X0,X1) != zero ) ),
inference(cnf_transformation,[],[f3]) ).
tcf(c_69,plain,
! [X0: $i,X1: $i] :
( subpopulations(first_movers,efficient_producers,X1,X0)
| ~ environment(X1)
| ~ in_environment(X1,X0)
| ~ greater(cardinality_at_time(efficient_producers,X0),zero)
| ~ greater(cardinality_at_time(first_movers,X0),zero) ),
inference(cnf_transformation,[],[f4]) ).
tcf(c_70,plain,
! [X0: $i,X1: $i] :
( greater_or_equal(cardinality_at_time(first_movers,X1),zero)
| ~ environment(X0)
| ~ in_environment(X0,X1) ),
inference(cnf_transformation,[],[f5]) ).
tcf(c_71,plain,
! [X0: $i,X1: $i] :
( subpopulation(first_movers,X0,X1)
| ~ environment(X0)
| ~ in_environment(X0,X1) ),
inference(cnf_transformation,[],[f6]) ).
tcf(c_72,plain,
! [X0: $i,X1: $i] :
( subpopulation(efficient_producers,X0,X1)
| ~ environment(X0)
| ~ in_environment(X0,X1) ),
inference(cnf_transformation,[],[f7]) ).
tcf(c_73,plain,
! [X0: $i] :
( greater_or_equal(critical_point(X0),appear(efficient_producers,X0))
| ~ environment(X0) ),
inference(cnf_transformation,[],[f8]) ).
tcf(c_74,plain,
! [X0: $i,X1: $i,X2: $i] :
( greater(X0,X2)
| ~ greater(X1,X2)
| ~ greater(X0,X1) ),
inference(cnf_transformation,[],[f9]) ).
tcf(c_75,plain,
! [X0: $i,X1: $i] :
( greater(X0,X1)
| ( X0 = X1 )
| ~ greater_or_equal(X0,X1) ),
inference(cnf_transformation,[],[f10]) ).
tcf(c_76,plain,
! [X0: $i,X1: $i] :
( greater_or_equal(X0,X1)
| ~ greater(X0,X1) ),
inference(cnf_transformation,[],[f11]) ).
tcf(c_79,plain,
! [X0: $i,X1: $i] :
( greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1))
| ~ environment(X0)
| ~ greater(X1,critical_point(X0))
| ~ subpopulations(first_movers,efficient_producers,X0,X1) ),
inference(cnf_transformation,[],[f24]) ).
tcf(c_80,plain,
! [X0: $i,X1: $i] :
( greater(cardinality_at_time(efficient_producers,X0),zero)
| ~ environment(X1)
| ~ in_environment(X1,X0)
| ~ greater_or_equal(X0,appear(efficient_producers,X1)) ),
inference(cnf_transformation,[],[f17]) ).
tcf(c_81,negated_conjecture,
environment(sk1),
inference(cnf_transformation,[],[f18]) ).
tcf(c_82,negated_conjecture,
in_environment(sk1,sk2),
inference(cnf_transformation,[],[f19]) ).
tcf(c_83,negated_conjecture,
greater(sk2,critical_point(sk1)),
inference(cnf_transformation,[],[f20]) ).
tcf(c_84,negated_conjecture,
~ selection_favors(efficient_producers,first_movers,sk2),
inference(cnf_transformation,[],[f21]) ).
tcf(c_295,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ environment(X3)
| ~ subpopulations(X2,X0,X3,X1)
| ~ greater(growth_rate(X0,X1),growth_rate(X2,X1))
| ( X2 != first_movers )
| ( X1 != sk2 )
| ( X0 != efficient_producers ) ),
inference(resolution_lifted,[status(thm)],[c_67,c_84]) ).
tcf(c_296,plain,
! [X0: $i] :
( ~ environment(X0)
| ~ subpopulations(first_movers,efficient_producers,X0,sk2)
| ~ greater(growth_rate(efficient_producers,sk2),growth_rate(first_movers,sk2)) ),
inference(unflattening,[status(thm)],[c_295]) ).
tcf(c_307,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ environment(X3)
| ~ subpopulation(X2,X3,X1)
| ~ subpopulation(X0,X3,X1)
| ~ greater(cardinality_at_time(X2,X1),zero)
| ( X2 != efficient_producers )
| ( X1 != sk2 )
| ( X0 != first_movers )
| ( cardinality_at_time(X0,X1) != zero ) ),
inference(resolution_lifted,[status(thm)],[c_68,c_84]) ).
tcf(c_308,plain,
! [X0: $i] :
( ~ environment(X0)
| ~ subpopulation(efficient_producers,X0,sk2)
| ~ subpopulation(first_movers,X0,sk2)
| ~ greater(cardinality_at_time(efficient_producers,sk2),zero)
| ( cardinality_at_time(first_movers,sk2) != zero ) ),
inference(unflattening,[status(thm)],[c_307]) ).
tcf(c_333,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2))
| ~ environment(X1)
| ~ environment(X0)
| ~ in_environment(X1,X3)
| ~ greater(X2,critical_point(X0))
| ~ greater(cardinality_at_time(efficient_producers,X3),zero)
| ~ greater(cardinality_at_time(first_movers,X3),zero)
| ( efficient_producers != efficient_producers )
| ( first_movers != first_movers )
| ( X2 != X3 )
| ( X0 != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_79,c_69]) ).
tcf(c_334,plain,
! [X0: $i,X1: $i] :
( greater(growth_rate(efficient_producers,X0),growth_rate(first_movers,X0))
| ~ environment(X1)
| ~ in_environment(X1,X0)
| ~ greater(X0,critical_point(X1))
| ~ greater(cardinality_at_time(efficient_producers,X0),zero)
| ~ greater(cardinality_at_time(first_movers,X0),zero) ),
inference(unflattening,[status(thm)],[c_333]) ).
tcf(c_354,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ environment(X2)
| ~ environment(X1)
| ~ in_environment(X1,X0)
| ~ greater(cardinality_at_time(efficient_producers,X0),zero)
| ~ greater(cardinality_at_time(first_movers,X0),zero)
| ~ greater(growth_rate(efficient_producers,sk2),growth_rate(first_movers,sk2))
| ( efficient_producers != efficient_producers )
| ( first_movers != first_movers )
| ( X1 != X2 )
| ( X0 != sk2 ) ),
inference(resolution_lifted,[status(thm)],[c_69,c_296]) ).
tcf(c_355,plain,
! [X0: $i] :
( ~ environment(X0)
| ~ in_environment(X0,sk2)
| ~ greater(cardinality_at_time(efficient_producers,sk2),zero)
| ~ greater(cardinality_at_time(first_movers,sk2),zero)
| ~ greater(growth_rate(efficient_producers,sk2),growth_rate(first_movers,sk2)) ),
inference(unflattening,[status(thm)],[c_354]) ).
tcf(c_383,plain,
! [X0: $i,X1: $i] :
( subpopulation(efficient_producers,X0,X1)
| ~ environment(X0)
| ( X1 != sk2 )
| ( X0 != sk1 ) ),
inference(resolution_lifted,[status(thm)],[c_72,c_82]) ).
tcf(c_384,plain,
( subpopulation(efficient_producers,sk1,sk2)
| ~ environment(sk1) ),
inference(unflattening,[status(thm)],[c_383]) ).
tcf(c_390,plain,
! [X0: $i,X1: $i] :
( subpopulation(first_movers,X0,X1)
| ~ environment(X0)
| ( X1 != sk2 )
| ( X0 != sk1 ) ),
inference(resolution_lifted,[status(thm)],[c_71,c_82]) ).
tcf(c_391,plain,
( subpopulation(first_movers,sk1,sk2)
| ~ environment(sk1) ),
inference(unflattening,[status(thm)],[c_390]) ).
tcf(c_397,plain,
! [X0: $i,X1: $i] :
( greater_or_equal(cardinality_at_time(first_movers,X1),zero)
| ~ environment(X0)
| ( X1 != sk2 )
| ( X0 != sk1 ) ),
inference(resolution_lifted,[status(thm)],[c_70,c_82]) ).
tcf(c_398,plain,
( greater_or_equal(cardinality_at_time(first_movers,sk2),zero)
| ~ environment(sk1) ),
inference(unflattening,[status(thm)],[c_397]) ).
tcf(c_399,plain,
greater_or_equal(cardinality_at_time(first_movers,sk2),zero),
inference(global_subsumption_just,[status(thm)],[c_398,c_81,c_398]) ).
tcf(c_404,plain,
! [X0: $i,X1: $i] :
( greater(growth_rate(efficient_producers,X0),growth_rate(first_movers,X0))
| ~ environment(X1)
| ~ greater(X0,critical_point(X1))
| ~ greater(cardinality_at_time(efficient_producers,X0),zero)
| ~ greater(cardinality_at_time(first_movers,X0),zero)
| ( X1 != sk1 )
| ( X0 != sk2 ) ),
inference(resolution_lifted,[status(thm)],[c_334,c_82]) ).
tcf(c_405,plain,
( greater(growth_rate(efficient_producers,sk2),growth_rate(first_movers,sk2))
| ~ environment(sk1)
| ~ greater(sk2,critical_point(sk1))
| ~ greater(cardinality_at_time(efficient_producers,sk2),zero)
| ~ greater(cardinality_at_time(first_movers,sk2),zero) ),
inference(unflattening,[status(thm)],[c_404]) ).
tcf(c_406,plain,
( greater(growth_rate(efficient_producers,sk2),growth_rate(first_movers,sk2))
| ~ greater(cardinality_at_time(efficient_producers,sk2),zero)
| ~ greater(cardinality_at_time(first_movers,sk2),zero) ),
inference(global_subsumption_just,[status(thm)],[c_405,c_81,c_83,c_405]) ).
tcf(c_417,plain,
! [X0: $i,X1: $i] :
( greater(cardinality_at_time(efficient_producers,X0),zero)
| ~ environment(X1)
| ~ greater_or_equal(X0,appear(efficient_producers,X1))
| ( X1 != sk1 )
| ( X0 != sk2 ) ),
inference(resolution_lifted,[status(thm)],[c_80,c_82]) ).
tcf(c_418,plain,
( greater(cardinality_at_time(efficient_producers,sk2),zero)
| ~ environment(sk1)
| ~ greater_or_equal(sk2,appear(efficient_producers,sk1)) ),
inference(unflattening,[status(thm)],[c_417]) ).
tcf(c_419,plain,
( greater(cardinality_at_time(efficient_producers,sk2),zero)
| ~ greater_or_equal(sk2,appear(efficient_producers,sk1)) ),
inference(global_subsumption_just,[status(thm)],[c_418,c_81,c_418]) ).
tcf(c_427,plain,
! [X0: $i] :
( ~ environment(X0)
| ~ greater(cardinality_at_time(efficient_producers,sk2),zero)
| ~ greater(cardinality_at_time(first_movers,sk2),zero)
| ~ greater(growth_rate(efficient_producers,sk2),growth_rate(first_movers,sk2))
| ( sk2 != sk2 )
| ( X0 != sk1 ) ),
inference(resolution_lifted,[status(thm)],[c_82,c_355]) ).
tcf(c_428,plain,
( ~ environment(sk1)
| ~ greater(cardinality_at_time(efficient_producers,sk2),zero)
| ~ greater(cardinality_at_time(first_movers,sk2),zero)
| ~ greater(growth_rate(efficient_producers,sk2),growth_rate(first_movers,sk2)) ),
inference(unflattening,[status(thm)],[c_427]) ).
tcf(c_429,plain,
( ~ greater(cardinality_at_time(first_movers,sk2),zero)
| ~ greater(cardinality_at_time(efficient_producers,sk2),zero) ),
inference(global_subsumption_just,[status(thm)],[c_428,c_81,c_406,c_428]) ).
tcf(c_430,plain,
( ~ greater(cardinality_at_time(efficient_producers,sk2),zero)
| ~ greater(cardinality_at_time(first_movers,sk2),zero) ),
inference(renaming,[status(thm)],[c_429]) ).
tcf(c_444,plain,
! [X0: $i] :
( ~ subpopulation(efficient_producers,X0,sk2)
| ~ subpopulation(first_movers,X0,sk2)
| ~ greater(cardinality_at_time(efficient_producers,sk2),zero)
| ( X0 != sk1 )
| ( cardinality_at_time(first_movers,sk2) != zero ) ),
inference(resolution_lifted,[status(thm)],[c_308,c_81]) ).
tcf(c_445,plain,
( ~ subpopulation(efficient_producers,sk1,sk2)
| ~ subpopulation(first_movers,sk1,sk2)
| ~ greater(cardinality_at_time(efficient_producers,sk2),zero)
| ( cardinality_at_time(first_movers,sk2) != zero ) ),
inference(unflattening,[status(thm)],[c_444]) ).
tcf(c_459,plain,
! [X0: $i] :
( greater_or_equal(critical_point(X0),appear(efficient_producers,X0))
| ( X0 != sk1 ) ),
inference(resolution_lifted,[status(thm)],[c_73,c_81]) ).
tcf(c_460,plain,
greater_or_equal(critical_point(sk1),appear(efficient_producers,sk1)),
inference(unflattening,[status(thm)],[c_459]) ).
tcf(c_472,plain,
! [X0: $i,X1: $i] :
( greater(X0,X1)
| ( X0 = X1 )
| ( X1 != zero )
| ( cardinality_at_time(first_movers,sk2) != X0 ) ),
inference(resolution_lifted,[status(thm)],[c_75,c_399]) ).
tcf(c_473,plain,
( greater(cardinality_at_time(first_movers,sk2),zero)
| ( cardinality_at_time(first_movers,sk2) = zero ) ),
inference(unflattening,[status(thm)],[c_472]) ).
tcf(c_480,plain,
! [X0: $i,X1: $i] :
( greater(cardinality_at_time(efficient_producers,sk2),zero)
| ~ greater(X0,X1)
| ( X0 != sk2 )
| ( appear(efficient_producers,sk1) != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_76,c_419]) ).
tcf(c_481,plain,
( greater(cardinality_at_time(efficient_producers,sk2),zero)
| ~ greater(sk2,appear(efficient_producers,sk1)) ),
inference(unflattening,[status(thm)],[c_480]) ).
tcf(c_482,plain,
~ greater(sk2,appear(efficient_producers,sk1)),
inference(global_subsumption_just,[status(thm)],[c_481,c_81,c_384,c_391,c_430,c_445,c_473,c_481]) ).
tcf(c_487,plain,
! [X0: $i,X1: $i] :
( greater(X0,X1)
| ( X0 = X1 )
| ( critical_point(sk1) != X0 )
| ( appear(efficient_producers,sk1) != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_75,c_460]) ).
tcf(c_488,plain,
( greater(critical_point(sk1),appear(efficient_producers,sk1))
| ( critical_point(sk1) = appear(efficient_producers,sk1) ) ),
inference(unflattening,[status(thm)],[c_487]) ).
tcf(c_653,plain,
( greater(iPr_def_11,iPr_def_13)
| ( iPr_def_11 = iPr_def_13 ) ),
inference(demodulation,[status(thm)],[c_488]) ).
tcf(c_654,plain,
~ greater(sk2,iPr_def_13),
inference(demodulation,[status(thm)],[c_482]) ).
tcf(c_657,negated_conjecture,
greater(sk2,iPr_def_11),
inference(demodulation,[status(thm)],[c_83]) ).
tcf(c_852,plain,
! [X0: $i] :
( greater(sk2,X0)
| ~ greater(iPr_def_11,X0) ),
inference(superposition,[status(thm)],[c_657,c_74]) ).
tcf(c_868,plain,
( greater(sk2,iPr_def_13)
| ( iPr_def_11 = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_653,c_852]) ).
tcf(c_869,plain,
iPr_def_11 = iPr_def_13,
inference(forward_subsumption_resolution,[status(thm)],[c_868,c_654]) ).
tcf(c_873,plain,
~ greater(sk2,iPr_def_11),
inference(demodulation,[status(thm)],[c_654,c_869]) ).
tcf(c_874,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_873,c_657]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT026-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.37 % Computer : n019.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 : Thu Sep 24 01:04:19 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.41 Running first-order theorem proving
% 0.10/0.41 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.42
% 0.10/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.10/0.42
% 0.10/0.43 % Detected problem language: tptp
% 0.10/0.44 % Proving...
% 2.20/1.28 % SZS status Started for theBenchmark.p
% 2.20/1.28 % SZS status Unsatisfiable for theBenchmark.p
% 2.20/1.28
% 2.20/1.28 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.20/1.28
% 2.20/1.28 % ------ iProver source info
% 2.20/1.28
% 2.20/1.28 % git: date: 2026-07-19 20:42:38 +0200
% 2.20/1.28 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.20/1.28 % git: non_committed_changes: false
% 2.20/1.28
% 2.20/1.28 % ------ Parsing...% successful
% 2.20/1.28
% 2.20/1.28
% 2.20/1.28 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 2.20/1.28
% 2.20/1.28 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe:2:0s pe:4:0s pe_e sup_sim: 0 sf_s rm: 7 0s sf_e pe_s pe_e sup_sim: 0 sf_s rm: 7 0s sf_e pe_s pe_e %
% 2.20/1.28
% 2.20/1.28 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 2.20/1.28
% 2.20/1.28 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 2.20/1.28 % ------ Proving...
% 2.20/1.28 % ------ Problem Properties
% 2.20/1.28
% 2.20/1.28 %
% 2.20/1.28 % clauses 16
% 2.20/1.28 % conjectures 1
% 2.20/1.28 % EPR 10
% 2.20/1.28 % Horn 14
% 2.20/1.28 % unary 12
% 2.20/1.28 % binary 3
% 2.20/1.28 % lits 21
% 2.20/1.28 % lits eq 12
% 2.20/1.28 % fd_pure 0
% 2.20/1.28 % fd_pseudo 0
% 2.20/1.28 % fd_cond 0
% 2.20/1.28 % fd_pseudo_cond 0
% 2.20/1.28 % AC symbols 0
% 2.20/1.28
% 2.20/1.28 % ------ Schedule dynamic 5 is on
% 2.20/1.28
% 2.20/1.28 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 2.20/1.28
% 2.20/1.28
% 2.20/1.28 % ------
% 2.20/1.28 % Current options:
% 2.20/1.28 % ------
% 2.20/1.28
% 2.20/1.28
% 2.20/1.28 %
% 2.20/1.28
% 2.20/1.28 % ------ Proving...
% 2.20/1.28 %
% 2.20/1.28
% 2.20/1.28 % SZS status Unsatisfiable for theBenchmark.p
% 2.20/1.28
% 2.20/1.28 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.20/1.28
% 2.20/1.28
%------------------------------------------------------------------------------