TSTP Solution File: MGT023-1 by iProver---3.8
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%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : MGT023-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n018.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 09:14:15 EDT 2023
% Result : Unsatisfiable 0.67s 1.09s
% Output : CNFRefutation 0.67s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 9
% Syntax : Number of clauses : 32 ( 7 unt; 17 nHn; 32 RR)
% Number of literals : 120 ( 33 equ; 69 neg)
% Maximal clause size : 12 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-4 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 32 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,plain,
( ~ in_environment(X0,X1)
| ~ environment(X0)
| critical_point(X0) = X1
| subpopulations(first_movers,efficient_producers,X0,sk1(X1,X0))
| greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_17) ).
cnf(c_50,plain,
( ~ in_environment(X0,X1)
| ~ environment(X0)
| critical_point(X0) = X1
| greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1))
| greater(sk1(X1,X0),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_18) ).
cnf(c_51,plain,
( ~ greater(growth_rate(efficient_producers,sk1(X0,X1)),growth_rate(first_movers,sk1(X0,X1)))
| ~ in_environment(X1,X0)
| ~ environment(X1)
| critical_point(X1) = X0
| greater(growth_rate(efficient_producers,X0),growth_rate(first_movers,X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_19) ).
cnf(c_52,plain,
( ~ environment(X0)
| ~ stable(X0)
| in_environment(X0,sk2(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l12_20) ).
cnf(c_53,plain,
( ~ greater(growth_rate(efficient_producers,sk2(X0)),growth_rate(first_movers,sk2(X0)))
| ~ environment(X0)
| ~ stable(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l12_21) ).
cnf(c_54,plain,
( ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ greater(X1,sk2(X0))
| ~ environment(X0)
| ~ stable(X0)
| greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l12_22) ).
cnf(c_55,negated_conjecture,
environment(sk3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_l5_23) ).
cnf(c_56,negated_conjecture,
stable(sk3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_l5_24) ).
cnf(c_57,negated_conjecture,
~ in_environment(sk3,critical_point(sk3)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_l5_25) ).
cnf(c_181,plain,
( sk1(X0,X1) != X2
| X1 != X3
| efficient_producers != efficient_producers
| first_movers != first_movers
| ~ greater(X2,sk2(X3))
| ~ in_environment(X1,X0)
| ~ environment(X1)
| ~ environment(X3)
| ~ stable(X3)
| critical_point(X1) = X0
| greater(growth_rate(efficient_producers,X0),growth_rate(first_movers,X0))
| greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2)) ),
inference(resolution_lifted,[status(thm)],[c_49,c_54]) ).
cnf(c_182,plain,
( ~ greater(sk1(X0,X1),sk2(X1))
| ~ in_environment(X1,X0)
| ~ environment(X1)
| ~ stable(X1)
| critical_point(X1) = X0
| greater(growth_rate(efficient_producers,sk1(X0,X1)),growth_rate(first_movers,sk1(X0,X1)))
| greater(growth_rate(efficient_producers,X0),growth_rate(first_movers,X0)) ),
inference(unflattening,[status(thm)],[c_181]) ).
cnf(c_184,plain,
( critical_point(X1) = X0
| ~ stable(X1)
| ~ environment(X1)
| ~ in_environment(X1,X0)
| ~ greater(sk1(X0,X1),sk2(X1))
| greater(growth_rate(efficient_producers,X0),growth_rate(first_movers,X0)) ),
inference(global_subsumption_just,[status(thm)],[c_182,c_51,c_182]) ).
cnf(c_185,plain,
( ~ greater(sk1(X0,X1),sk2(X1))
| ~ in_environment(X1,X0)
| ~ environment(X1)
| ~ stable(X1)
| critical_point(X1) = X0
| greater(growth_rate(efficient_producers,X0),growth_rate(first_movers,X0)) ),
inference(renaming,[status(thm)],[c_184]) ).
cnf(c_211,plain,
( X0 != sk3
| ~ greater(growth_rate(efficient_producers,sk2(X0)),growth_rate(first_movers,sk2(X0)))
| ~ environment(X0) ),
inference(resolution_lifted,[status(thm)],[c_53,c_56]) ).
cnf(c_212,plain,
( ~ greater(growth_rate(efficient_producers,sk2(sk3)),growth_rate(first_movers,sk2(sk3)))
| ~ environment(sk3) ),
inference(unflattening,[status(thm)],[c_211]) ).
cnf(c_218,plain,
( X0 != sk3
| ~ environment(X0)
| in_environment(X0,sk2(X0)) ),
inference(resolution_lifted,[status(thm)],[c_52,c_56]) ).
cnf(c_219,plain,
( ~ environment(sk3)
| in_environment(sk3,sk2(sk3)) ),
inference(unflattening,[status(thm)],[c_218]) ).
cnf(c_220,plain,
in_environment(sk3,sk2(sk3)),
inference(global_subsumption_just,[status(thm)],[c_219,c_55,c_219]) ).
cnf(c_225,plain,
( X0 != sk3
| ~ greater(sk1(X1,X0),sk2(X0))
| ~ in_environment(X0,X1)
| ~ environment(X0)
| critical_point(X0) = X1
| greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1)) ),
inference(resolution_lifted,[status(thm)],[c_56,c_185]) ).
cnf(c_226,plain,
( ~ greater(sk1(X0,sk3),sk2(sk3))
| ~ in_environment(sk3,X0)
| ~ environment(sk3)
| critical_point(sk3) = X0
| greater(growth_rate(efficient_producers,X0),growth_rate(first_movers,X0)) ),
inference(unflattening,[status(thm)],[c_225]) ).
cnf(c_228,plain,
( ~ in_environment(sk3,X0)
| ~ greater(sk1(X0,sk3),sk2(sk3))
| critical_point(sk3) = X0
| greater(growth_rate(efficient_producers,X0),growth_rate(first_movers,X0)) ),
inference(global_subsumption_just,[status(thm)],[c_226,c_55,c_226]) ).
cnf(c_229,plain,
( ~ greater(sk1(X0,sk3),sk2(sk3))
| ~ in_environment(sk3,X0)
| critical_point(sk3) = X0
| greater(growth_rate(efficient_producers,X0),growth_rate(first_movers,X0)) ),
inference(renaming,[status(thm)],[c_228]) ).
cnf(c_249,plain,
( X0 != sk3
| ~ in_environment(X0,X1)
| critical_point(X0) = X1
| greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1))
| greater(sk1(X1,X0),X1) ),
inference(resolution_lifted,[status(thm)],[c_50,c_55]) ).
cnf(c_250,plain,
( ~ in_environment(sk3,X0)
| critical_point(sk3) = X0
| greater(growth_rate(efficient_producers,X0),growth_rate(first_movers,X0))
| greater(sk1(X0,sk3),X0) ),
inference(unflattening,[status(thm)],[c_249]) ).
cnf(c_287,plain,
( critical_point(sk3) != sk2(sk3)
| sk3 != sk3 ),
inference(resolution_lifted,[status(thm)],[c_57,c_220]) ).
cnf(c_304,plain,
( sk2(sk3) != X0
| sk3 != sk3
| critical_point(sk3) = X0
| greater(growth_rate(efficient_producers,X0),growth_rate(first_movers,X0))
| greater(sk1(X0,sk3),X0) ),
inference(resolution_lifted,[status(thm)],[c_220,c_250]) ).
cnf(c_305,plain,
( critical_point(sk3) = sk2(sk3)
| greater(growth_rate(efficient_producers,sk2(sk3)),growth_rate(first_movers,sk2(sk3)))
| greater(sk1(sk2(sk3),sk3),sk2(sk3)) ),
inference(unflattening,[status(thm)],[c_304]) ).
cnf(c_314,plain,
( sk2(sk3) != X0
| sk3 != sk3
| ~ greater(sk1(X0,sk3),sk2(sk3))
| critical_point(sk3) = X0
| greater(growth_rate(efficient_producers,X0),growth_rate(first_movers,X0)) ),
inference(resolution_lifted,[status(thm)],[c_220,c_229]) ).
cnf(c_315,plain,
( ~ greater(sk1(sk2(sk3),sk3),sk2(sk3))
| critical_point(sk3) = sk2(sk3)
| greater(growth_rate(efficient_producers,sk2(sk3)),growth_rate(first_movers,sk2(sk3))) ),
inference(unflattening,[status(thm)],[c_314]) ).
cnf(c_316,plain,
critical_point(sk3) = sk2(sk3),
inference(global_subsumption_just,[status(thm)],[c_315,c_55,c_212,c_305,c_315]) ).
cnf(c_321,plain,
sk3 != sk3,
inference(backward_subsumption_resolution,[status(thm)],[c_287,c_316]) ).
cnf(c_324,plain,
$false,
inference(equality_resolution_simp,[status(thm)],[c_321]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : MGT023-1 : TPTP v8.1.2. Released v2.4.0.
% 0.00/0.13 % Command : run_iprover %s %d THM
% 0.12/0.33 % Computer : n018.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Mon Aug 28 06:34:46 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.19/0.45 Running first-order theorem proving
% 0.19/0.45 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.67/1.09 % SZS status Started for theBenchmark.p
% 0.67/1.09 % SZS status Unsatisfiable for theBenchmark.p
% 0.67/1.09
% 0.67/1.09 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 0.67/1.09
% 0.67/1.09 ------ iProver source info
% 0.67/1.09
% 0.67/1.09 git: date: 2023-05-31 18:12:56 +0000
% 0.67/1.09 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 0.67/1.09 git: non_committed_changes: false
% 0.67/1.09 git: last_make_outside_of_git: false
% 0.67/1.09
% 0.67/1.09 ------ Parsing...successful
% 0.67/1.09
% 0.67/1.09
% 0.67/1.09
% 0.67/1.09 ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe:2:0s pe:4:0s pe_e
% 0.67/1.09
% 0.67/1.09 % SZS status Unsatisfiable for theBenchmark.p
% 0.67/1.09
% 0.67/1.09 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.67/1.10
% 0.67/1.10
%------------------------------------------------------------------------------