TSTP Solution File: MGT036+3 by iProver---3.8
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%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : MGT036+3 : TPTP v8.1.2. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n009.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 09:14:28 EDT 2023
% Result : Theorem 0.79s 1.19s
% Output : CNFRefutation 0.79s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 5
% Syntax : Number of formulae : 37 ( 9 unt; 0 def)
% Number of atoms : 120 ( 0 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 139 ( 56 ~; 47 |; 30 &)
% ( 3 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-4 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 75 ( 0 sgn; 44 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1,X2,X3] :
( ( subpopulations(X1,X2,X0,X3)
& environment(X0) )
=> subpopulations(X2,X1,X0,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_symmetry_of_subpopulations) ).
fof(f2,axiom,
! [X0,X1,X2,X3] :
( ( subpopulations(X1,X2,X0,X3)
& environment(X0) )
=> ( ( greater(zero,growth_rate(X1,X3))
& greater_or_equal(growth_rate(X2,X3),zero) )
<=> outcompetes(X2,X1,X3) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2) ).
fof(f3,axiom,
? [X0,X3] :
( greater(zero,growth_rate(efficient_producers,X3))
& greater_or_equal(growth_rate(first_movers,X3),zero)
& subpopulations(first_movers,efficient_producers,X0,X3)
& environment(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a13_star) ).
fof(f4,conjecture,
? [X0,X3] :
( outcompetes(first_movers,efficient_producers,X3)
& subpopulations(first_movers,efficient_producers,X0,X3)
& environment(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_t5_star) ).
fof(f5,negated_conjecture,
~ ? [X0,X3] :
( outcompetes(first_movers,efficient_producers,X3)
& subpopulations(first_movers,efficient_producers,X0,X3)
& environment(X0) ),
inference(negated_conjecture,[],[f4]) ).
fof(f6,plain,
? [X0,X1] :
( greater(zero,growth_rate(efficient_producers,X1))
& greater_or_equal(growth_rate(first_movers,X1),zero)
& subpopulations(first_movers,efficient_producers,X0,X1)
& environment(X0) ),
inference(rectify,[],[f3]) ).
fof(f7,plain,
~ ? [X0,X1] :
( outcompetes(first_movers,efficient_producers,X1)
& subpopulations(first_movers,efficient_producers,X0,X1)
& environment(X0) ),
inference(rectify,[],[f5]) ).
fof(f8,plain,
! [X0,X1,X2,X3] :
( subpopulations(X2,X1,X0,X3)
| ~ subpopulations(X1,X2,X0,X3)
| ~ environment(X0) ),
inference(ennf_transformation,[],[f1]) ).
fof(f9,plain,
! [X0,X1,X2,X3] :
( subpopulations(X2,X1,X0,X3)
| ~ subpopulations(X1,X2,X0,X3)
| ~ environment(X0) ),
inference(flattening,[],[f8]) ).
fof(f10,plain,
! [X0,X1,X2,X3] :
( ( ( greater(zero,growth_rate(X1,X3))
& greater_or_equal(growth_rate(X2,X3),zero) )
<=> outcompetes(X2,X1,X3) )
| ~ subpopulations(X1,X2,X0,X3)
| ~ environment(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f11,plain,
! [X0,X1,X2,X3] :
( ( ( greater(zero,growth_rate(X1,X3))
& greater_or_equal(growth_rate(X2,X3),zero) )
<=> outcompetes(X2,X1,X3) )
| ~ subpopulations(X1,X2,X0,X3)
| ~ environment(X0) ),
inference(flattening,[],[f10]) ).
fof(f12,plain,
! [X0,X1] :
( ~ outcompetes(first_movers,efficient_producers,X1)
| ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ environment(X0) ),
inference(ennf_transformation,[],[f7]) ).
fof(f13,plain,
! [X0,X1,X2,X3] :
( ( ( ( greater(zero,growth_rate(X1,X3))
& greater_or_equal(growth_rate(X2,X3),zero) )
| ~ outcompetes(X2,X1,X3) )
& ( outcompetes(X2,X1,X3)
| ~ greater(zero,growth_rate(X1,X3))
| ~ greater_or_equal(growth_rate(X2,X3),zero) ) )
| ~ subpopulations(X1,X2,X0,X3)
| ~ environment(X0) ),
inference(nnf_transformation,[],[f11]) ).
fof(f14,plain,
! [X0,X1,X2,X3] :
( ( ( ( greater(zero,growth_rate(X1,X3))
& greater_or_equal(growth_rate(X2,X3),zero) )
| ~ outcompetes(X2,X1,X3) )
& ( outcompetes(X2,X1,X3)
| ~ greater(zero,growth_rate(X1,X3))
| ~ greater_or_equal(growth_rate(X2,X3),zero) ) )
| ~ subpopulations(X1,X2,X0,X3)
| ~ environment(X0) ),
inference(flattening,[],[f13]) ).
fof(f15,plain,
( ? [X0,X1] :
( greater(zero,growth_rate(efficient_producers,X1))
& greater_or_equal(growth_rate(first_movers,X1),zero)
& subpopulations(first_movers,efficient_producers,X0,X1)
& environment(X0) )
=> ( greater(zero,growth_rate(efficient_producers,sK1))
& greater_or_equal(growth_rate(first_movers,sK1),zero)
& subpopulations(first_movers,efficient_producers,sK0,sK1)
& environment(sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f16,plain,
( greater(zero,growth_rate(efficient_producers,sK1))
& greater_or_equal(growth_rate(first_movers,sK1),zero)
& subpopulations(first_movers,efficient_producers,sK0,sK1)
& environment(sK0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f6,f15]) ).
fof(f17,plain,
! [X2,X3,X0,X1] :
( subpopulations(X2,X1,X0,X3)
| ~ subpopulations(X1,X2,X0,X3)
| ~ environment(X0) ),
inference(cnf_transformation,[],[f9]) ).
fof(f18,plain,
! [X2,X3,X0,X1] :
( outcompetes(X2,X1,X3)
| ~ greater(zero,growth_rate(X1,X3))
| ~ greater_or_equal(growth_rate(X2,X3),zero)
| ~ subpopulations(X1,X2,X0,X3)
| ~ environment(X0) ),
inference(cnf_transformation,[],[f14]) ).
fof(f21,plain,
environment(sK0),
inference(cnf_transformation,[],[f16]) ).
fof(f22,plain,
subpopulations(first_movers,efficient_producers,sK0,sK1),
inference(cnf_transformation,[],[f16]) ).
fof(f23,plain,
greater_or_equal(growth_rate(first_movers,sK1),zero),
inference(cnf_transformation,[],[f16]) ).
fof(f24,plain,
greater(zero,growth_rate(efficient_producers,sK1)),
inference(cnf_transformation,[],[f16]) ).
fof(f25,plain,
! [X0,X1] :
( ~ outcompetes(first_movers,efficient_producers,X1)
| ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ environment(X0) ),
inference(cnf_transformation,[],[f12]) ).
cnf(c_49,plain,
( ~ subpopulations(X0,X1,X2,X3)
| ~ environment(X2)
| subpopulations(X1,X0,X2,X3) ),
inference(cnf_transformation,[],[f17]) ).
cnf(c_52,plain,
( ~ subpopulations(X0,X1,X2,X3)
| ~ greater(zero,growth_rate(X0,X3))
| ~ greater_or_equal(growth_rate(X1,X3),zero)
| ~ environment(X2)
| outcompetes(X1,X0,X3) ),
inference(cnf_transformation,[],[f18]) ).
cnf(c_53,plain,
greater(zero,growth_rate(efficient_producers,sK1)),
inference(cnf_transformation,[],[f24]) ).
cnf(c_54,plain,
greater_or_equal(growth_rate(first_movers,sK1),zero),
inference(cnf_transformation,[],[f23]) ).
cnf(c_55,plain,
subpopulations(first_movers,efficient_producers,sK0,sK1),
inference(cnf_transformation,[],[f22]) ).
cnf(c_56,plain,
environment(sK0),
inference(cnf_transformation,[],[f21]) ).
cnf(c_57,negated_conjecture,
( ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ outcompetes(first_movers,efficient_producers,X1)
| ~ environment(X0) ),
inference(cnf_transformation,[],[f25]) ).
cnf(c_202,plain,
( ~ subpopulations(X0,X1,sK0,X2)
| ~ greater(zero,growth_rate(X0,X2))
| ~ greater_or_equal(growth_rate(X1,X2),zero)
| outcompetes(X1,X0,X2) ),
inference(resolution,[status(thm)],[c_52,c_56]) ).
cnf(c_238,plain,
( ~ subpopulations(X0,X1,sK0,X2)
| subpopulations(X1,X0,sK0,X2) ),
inference(resolution,[status(thm)],[c_49,c_56]) ).
cnf(c_245,plain,
( ~ subpopulations(first_movers,efficient_producers,sK0,X0)
| ~ outcompetes(first_movers,efficient_producers,X0) ),
inference(resolution,[status(thm)],[c_56,c_57]) ).
cnf(c_339,plain,
( ~ subpopulations(efficient_producers,first_movers,sK0,X0)
| ~ subpopulations(first_movers,efficient_producers,sK0,X0)
| ~ greater(zero,growth_rate(efficient_producers,X0))
| ~ greater_or_equal(growth_rate(first_movers,X0),zero) ),
inference(resolution,[status(thm)],[c_202,c_245]) ).
cnf(c_349,plain,
( ~ subpopulations(first_movers,efficient_producers,sK0,X0)
| ~ greater(zero,growth_rate(efficient_producers,X0))
| ~ greater_or_equal(growth_rate(first_movers,X0),zero) ),
inference(forward_subsumption_resolution,[status(thm)],[c_339,c_238]) ).
cnf(c_357,plain,
( ~ subpopulations(first_movers,efficient_producers,sK0,sK1)
| ~ greater_or_equal(growth_rate(first_movers,sK1),zero) ),
inference(resolution,[status(thm)],[c_53,c_349]) ).
cnf(c_358,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_357,c_54,c_55]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : MGT036+3 : TPTP v8.1.2. Released v2.0.0.
% 0.07/0.13 % Command : run_iprover %s %d THM
% 0.13/0.34 % Computer : n009.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Aug 28 06:04:50 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.47 Running first-order theorem proving
% 0.19/0.47 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.79/1.19 % SZS status Started for theBenchmark.p
% 0.79/1.19 % SZS status Theorem for theBenchmark.p
% 0.79/1.19
% 0.79/1.19 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 0.79/1.19
% 0.79/1.19 ------ iProver source info
% 0.79/1.19
% 0.79/1.19 git: date: 2023-05-31 18:12:56 +0000
% 0.79/1.19 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 0.79/1.19 git: non_committed_changes: false
% 0.79/1.19 git: last_make_outside_of_git: false
% 0.79/1.19
% 0.79/1.19 ------ Parsing...
% 0.79/1.19 ------ Clausification by vclausify_rel & Parsing by iProver...
% 0.79/1.19
% 0.79/1.19 ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe:1:0s pe:2:0s
% 0.79/1.19
% 0.79/1.19 % SZS status Theorem for theBenchmark.p
% 0.79/1.19
% 0.79/1.19 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.79/1.19
% 0.79/1.19
%------------------------------------------------------------------------------