%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : MGT036-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n018.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 02:12:31 PM UTC 2026
% Result : Unsatisfiable 0.55s 6.20s
% Output : CNFRefutation 0.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 13
% Syntax : Number of formulae : 44 ( 16 unt; 2 def)
% Number of atoms : 111 ( 2 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 122 ( 64 ~; 58 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 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 : 10 ( 8 usr; 3 prp; 0-4 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 62 ( 0 sgn 62 !; 0 ?; 41 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( subpopulations(efficient_producers,first_movers,X0,X1)
| ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ environment(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_symmetry_of_FM_and_EP_1) ).
fof(f2,axiom,
! [X0,X1] :
( in_environment(X0,X1)
| ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ environment(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_time_point_occur_2) ).
fof(f3,axiom,
! [X2,X0,X1] :
( ~ greater(zero,growth_rate(X1,X2))
| environment(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_growth_rate_relationships_3) ).
fof(f5,axiom,
! [X0,X1] :
( ~ greater(zero,growth_rate(X0,X1))
| ~ greater_or_equal(growth_rate(X0,X1),zero) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_growth_rate_relationships_5) ).
fof(f8,axiom,
! [X2,X3,X0,X1] :
( greater_or_equal(growth_rate(X2,X3),zero)
| ~ outcompetes(X2,X1,X3)
| ~ subpopulations(X1,X2,X0,X3)
| ~ environment(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2_8) ).
fof(f9,axiom,
! [X2,X3,X0,X1] :
( greater(zero,growth_rate(X1,X3))
| ~ outcompetes(X2,X1,X3)
| ~ subpopulations(X1,X2,X0,X3)
| ~ environment(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2_9) ).
fof(f10,axiom,
! [X2,X3,X0,X1] :
( ~ greater(zero,growth_rate(X3,X1))
| ~ greater(resilience(X3),resilience(X2))
| greater(zero,growth_rate(X2,X1))
| ~ in_environment(X0,X1)
| ~ environment(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a12_10) ).
fof(f11,axiom,
greater(resilience(efficient_producers),resilience(first_movers)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a2_11) ).
fof(f12,negated_conjecture,
environment(sk1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_t5_12) ).
fof(f13,negated_conjecture,
subpopulations(first_movers,efficient_producers,sk1,sk2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_t5_13) ).
fof(f14,negated_conjecture,
outcompetes(first_movers,efficient_producers,sk2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_t5_14) ).
tcf(c_63,plain,
! [X0: $i,X1: $i] :
( subpopulations(efficient_producers,first_movers,X0,X1)
| ~ environment(X0)
| ~ subpopulations(first_movers,efficient_producers,X0,X1) ),
inference(cnf_transformation,[],[f1]) ).
tcf(c_64,plain,
! [X0: $i,X1: $i] :
( in_environment(X0,X1)
| ~ environment(X0)
| ~ subpopulations(first_movers,efficient_producers,X0,X1) ),
inference(cnf_transformation,[],[f2]) ).
tcf(c_65,plain,
! [X0: $i,X1: $i,X2: $i] :
( environment(X2)
| ~ greater(zero,growth_rate(X0,X1)) ),
inference(cnf_transformation,[],[f3]) ).
tcf(c_67,plain,
! [X0: $i,X1: $i] :
( ~ greater_or_equal(growth_rate(X0,X1),zero)
| ~ greater(zero,growth_rate(X0,X1)) ),
inference(cnf_transformation,[],[f5]) ).
tcf(c_70,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( greater_or_equal(growth_rate(X1,X3),zero)
| ~ environment(X2)
| ~ outcompetes(X1,X0,X3)
| ~ subpopulations(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f8]) ).
tcf(c_71,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( greater(zero,growth_rate(X0,X3))
| ~ environment(X2)
| ~ outcompetes(X1,X0,X3)
| ~ subpopulations(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f9]) ).
tcf(c_72,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( greater(zero,growth_rate(X1,X2))
| ~ environment(X3)
| ~ in_environment(X3,X2)
| ~ greater(zero,growth_rate(X0,X2))
| ~ greater(resilience(X0),resilience(X1)) ),
inference(cnf_transformation,[],[f10]) ).
tcf(c_73,plain,
greater(resilience(efficient_producers),resilience(first_movers)),
inference(cnf_transformation,[],[f11]) ).
tcf(c_74,negated_conjecture,
environment(sk1),
inference(cnf_transformation,[],[f12]) ).
tcf(c_75,negated_conjecture,
subpopulations(first_movers,efficient_producers,sk1,sk2),
inference(cnf_transformation,[],[f13]) ).
tcf(c_76,negated_conjecture,
outcompetes(first_movers,efficient_producers,sk2),
inference(cnf_transformation,[],[f14]) ).
tcf(c_98,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( greater(zero,growth_rate(X1,X2))
| ~ in_environment(X3,X2)
| ~ greater(zero,growth_rate(X0,X2))
| ~ greater(resilience(X0),resilience(X1)) ),
inference(backward_subsumption_resolution,[status(thm)],[c_72,c_65]) ).
tcf(c_160,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( greater(zero,growth_rate(X3,X1))
| ~ environment(X0)
| ~ greater(zero,growth_rate(X2,X1))
| ~ greater(resilience(X2),resilience(X3))
| ~ subpopulations(first_movers,efficient_producers,X0,X1) ),
inference(resolution,[status(thm)],[c_64,c_98]) ).
tcf(c_171,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( greater(zero,growth_rate(X3,X1))
| ~ greater(zero,growth_rate(X2,X1))
| ~ greater(resilience(X2),resilience(X3))
| ~ subpopulations(first_movers,efficient_producers,X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_160,c_65]) ).
tcf(c_180,plain,
! [X0: $i] :
( greater(zero,growth_rate(efficient_producers,sk2))
| ~ environment(X0)
| ~ subpopulations(efficient_producers,first_movers,X0,sk2) ),
inference(resolution,[status(thm)],[c_71,c_76]) ).
tcf(c_191,plain,
! [X0: $i] :
( greater_or_equal(growth_rate(first_movers,sk2),zero)
| ~ environment(X0)
| ~ subpopulations(efficient_producers,first_movers,X0,sk2) ),
inference(resolution,[status(thm)],[c_70,c_76]) ).
tcf(c_211,plain,
! [X0: $i] :
( ~ environment(X0)
| ~ greater(zero,growth_rate(first_movers,sk2))
| ~ subpopulations(efficient_producers,first_movers,X0,sk2) ),
inference(resolution,[status(thm)],[c_67,c_191]) ).
tcf(c_219,plain,
! [X0: $i] :
( ~ greater(zero,growth_rate(first_movers,sk2))
| ~ subpopulations(efficient_producers,first_movers,X0,sk2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_211,c_65]) ).
tcf(c_357,definition,
iPr_def_12 = growth_rate(first_movers,sk2),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_358,definition,
iPr_def_13 = growth_rate(efficient_producers,sk2),
introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).
tcf(c_359,plain,
! [X0: $i] :
( ~ greater(zero,iPr_def_12)
| ~ subpopulations(efficient_producers,first_movers,X0,sk2) ),
inference(demodulation,[status(thm)],[c_219,c_357]) ).
tcf(c_360,plain,
! [X0: $i] :
( greater(zero,iPr_def_13)
| ~ environment(X0)
| ~ subpopulations(efficient_producers,first_movers,X0,sk2) ),
inference(demodulation,[status(thm)],[c_180,c_358]) ).
tcf(c_361,negated_conjecture,
subpopulations(first_movers,efficient_producers,sk1,sk2),
inference(demodulation,[status(thm)],[c_75]) ).
tcf(c_362,negated_conjecture,
environment(sk1),
inference(demodulation,[status(thm)],[c_74]) ).
tcf(c_602,plain,
( subpopulations(efficient_producers,first_movers,sk1,sk2)
| ~ environment(sk1) ),
inference(superposition,[status(thm)],[c_361,c_63]) ).
tcf(c_603,plain,
subpopulations(efficient_producers,first_movers,sk1,sk2),
inference(forward_subsumption_resolution,[status(thm)],[c_602,c_362]) ).
tcf(c_604,plain,
~ greater(zero,iPr_def_12),
inference(superposition,[status(thm)],[c_603,c_359]) ).
tcf(c_605,plain,
( greater(zero,iPr_def_13)
| ~ environment(sk1) ),
inference(superposition,[status(thm)],[c_603,c_360]) ).
tcf(c_606,plain,
greater(zero,iPr_def_13),
inference(forward_subsumption_resolution,[status(thm)],[c_605,c_362]) ).
tcf(c_640,plain,
! [X0: $i,X1: $i] :
( greater(zero,growth_rate(X1,sk2))
| ~ greater(zero,growth_rate(X0,sk2))
| ~ greater(resilience(X0),resilience(X1)) ),
inference(superposition,[status(thm)],[c_361,c_171]) ).
tcf(c_650,plain,
( greater(zero,growth_rate(first_movers,sk2))
| ~ greater(zero,growth_rate(efficient_producers,sk2)) ),
inference(superposition,[status(thm)],[c_73,c_640]) ).
tcf(c_651,plain,
( greater(zero,iPr_def_12)
| ~ greater(zero,iPr_def_13) ),
inference(light_normalisation,[status(thm)],[c_650,c_357,c_358]) ).
tcf(c_652,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_651,c_604,c_606]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT036-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/5.38 % Computer : n018.cluster.edu
% 0.11/5.38 % Model : x86_64 x86_64
% 0.11/5.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/5.38 % Memory : 8046.5625MB
% 0.11/5.38 % OS : Linux 6.8.0-71-generic
% 0.11/5.38 % CPULimit : 300
% 0.11/5.38 % WCLimit : 300
% 0.11/5.38 % DateTime : Thu Sep 24 01:10:24 UTC 2026
% 0.11/5.38 % CPUTime :
% 0.11/5.38 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.16/5.42 Running first-order theorem proving
% 0.16/5.42 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/5.43
% 0.16/5.43 % ======== iProver multi-core TPTP/SMT =========
% 0.16/5.43
% 0.16/5.43 % Detected problem language: tptp
% 0.16/5.45 % Proving...
% 0.55/6.20 % SZS status Started for theBenchmark.p
% 0.55/6.20 % SZS status Unsatisfiable for theBenchmark.p
% 0.55/6.20
% 0.55/6.20 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 0.55/6.20
% 0.55/6.20 % ------ iProver source info
% 0.55/6.20
% 0.55/6.20 % git: date: 2026-07-19 20:42:38 +0200
% 0.55/6.20 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 0.55/6.20 % git: non_committed_changes: false
% 0.55/6.20
% 0.55/6.20 % ------ Parsing...% successful
% 0.55/6.20
% 0.55/6.20
% 0.55/6.20 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 0.55/6.20
% 0.55/6.20 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe:1:0s pe:2:0s pe_e sf_s rm: 0 0s sf_e pe_s pe_e %
% 0.55/6.20
% 0.55/6.20 % ------ Preprocessing... gs_s sp: 2 0s gs_e snvd_s sp: 0 0s snvd_e %
% 0.55/6.20
% 0.55/6.20 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 0.55/6.20 % ------ Proving...
% 0.55/6.20 % ------ Problem Properties
% 0.55/6.20
% 0.55/6.20 %
% 0.55/6.20 % clauses 13
% 0.55/6.20 % conjectures 2
% 0.55/6.20 % EPR 7
% 0.55/6.20 % Horn 12
% 0.55/6.20 % unary 5
% 0.55/6.20 % binary 5
% 0.55/6.20 % lits 25
% 0.55/6.20 % lits eq 2
% 0.55/6.20 % fd_pure 0
% 0.55/6.20 % fd_pseudo 0
% 0.55/6.20 % fd_cond 0
% 0.55/6.20 % fd_pseudo_cond 0
% 0.55/6.20 % AC symbols 0
% 0.55/6.20
% 0.55/6.20 % ------ Schedule dynamic 5 is on
% 0.55/6.20
% 0.55/6.20 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 0.55/6.20
% 0.55/6.20
% 0.55/6.20 % ------
% 0.55/6.20 % Current options:
% 0.55/6.20 % ------
% 0.55/6.20
% 0.55/6.20
% 0.55/6.20 %
% 0.55/6.20
% 0.55/6.20 % ------ Proving...
% 0.55/6.20 %
% 0.55/6.20
% 0.55/6.20 % SZS status Unsatisfiable for theBenchmark.p
% 0.55/6.20
% 0.55/6.20 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.55/6.20
%------------------------------------------------------------------------------