TSTP Solution File: MGT019+2 by iProver---3.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : MGT019+2 : TPTP v8.1.2. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n022.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 09:14:13 EDT 2023
% Result : CounterSatisfiable 1.78s 1.19s
% Output : Saturation 1.78s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
~ ! [X0,X1] :
( ( subpopulations(first_movers,efficient_producers,X0,X1)
& environment(X0) )
=> greater(disbanding_rate(first_movers,X1),disbanding_rate(efficient_producers,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l2) ).
fof(f2,axiom,
! [X1] :
( ( greater_or_equal(founding_rate(efficient_producers,X1),founding_rate(first_movers,X1))
& greater(disbanding_rate(first_movers,X1),disbanding_rate(efficient_producers,X1)) )
=> greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_EP_lower_disbanding_rate) ).
fof(f3,axiom,
! [X2,X3] :
( greater_or_equal(X2,X3)
=> ( X2 = X3
| greater(X2,X3) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_greater_or_equal) ).
fof(f4,axiom,
! [X0] :
( ( stable(X0)
& environment(X0) )
=> ? [X4] :
( ! [X1] :
( ( greater_or_equal(X1,X4)
& subpopulations(first_movers,efficient_producers,X0,X1) )
=> greater_or_equal(founding_rate(efficient_producers,X1),founding_rate(first_movers,X1)) )
& in_environment(X0,X4) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a8) ).
fof(f5,conjecture,
! [X0] :
( ( stable(X0)
& environment(X0) )
=> ? [X4] :
( ! [X1] :
( ( greater_or_equal(X1,X4)
& subpopulations(first_movers,efficient_producers,X0,X1) )
=> greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1)) )
& in_environment(X0,X4) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_l1) ).
fof(f6,negated_conjecture,
~ ! [X0] :
( ( stable(X0)
& environment(X0) )
=> ? [X4] :
( ! [X1] :
( ( greater_or_equal(X1,X4)
& subpopulations(first_movers,efficient_producers,X0,X1) )
=> greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1)) )
& in_environment(X0,X4) ) ),
inference(negated_conjecture,[],[f5]) ).
fof(f7,plain,
! [X0] :
( ( greater_or_equal(founding_rate(efficient_producers,X0),founding_rate(first_movers,X0))
& greater(disbanding_rate(first_movers,X0),disbanding_rate(efficient_producers,X0)) )
=> greater(growth_rate(efficient_producers,X0),growth_rate(first_movers,X0)) ),
inference(rectify,[],[f2]) ).
fof(f8,plain,
! [X0,X1] :
( greater_or_equal(X0,X1)
=> ( X0 = X1
| greater(X0,X1) ) ),
inference(rectify,[],[f3]) ).
fof(f9,plain,
! [X0] :
( ( stable(X0)
& environment(X0) )
=> ? [X1] :
( ! [X2] :
( ( greater_or_equal(X2,X1)
& subpopulations(first_movers,efficient_producers,X0,X2) )
=> greater_or_equal(founding_rate(efficient_producers,X2),founding_rate(first_movers,X2)) )
& in_environment(X0,X1) ) ),
inference(rectify,[],[f4]) ).
fof(f10,plain,
~ ! [X0] :
( ( stable(X0)
& environment(X0) )
=> ? [X1] :
( ! [X2] :
( ( greater_or_equal(X2,X1)
& subpopulations(first_movers,efficient_producers,X0,X2) )
=> greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2)) )
& in_environment(X0,X1) ) ),
inference(rectify,[],[f6]) ).
fof(f11,plain,
? [X0,X1] :
( ~ greater(disbanding_rate(first_movers,X1),disbanding_rate(efficient_producers,X1))
& subpopulations(first_movers,efficient_producers,X0,X1)
& environment(X0) ),
inference(ennf_transformation,[],[f1]) ).
fof(f12,plain,
? [X0,X1] :
( ~ greater(disbanding_rate(first_movers,X1),disbanding_rate(efficient_producers,X1))
& subpopulations(first_movers,efficient_producers,X0,X1)
& environment(X0) ),
inference(flattening,[],[f11]) ).
fof(f13,plain,
! [X0] :
( greater(growth_rate(efficient_producers,X0),growth_rate(first_movers,X0))
| ~ greater_or_equal(founding_rate(efficient_producers,X0),founding_rate(first_movers,X0))
| ~ greater(disbanding_rate(first_movers,X0),disbanding_rate(efficient_producers,X0)) ),
inference(ennf_transformation,[],[f7]) ).
fof(f14,plain,
! [X0] :
( greater(growth_rate(efficient_producers,X0),growth_rate(first_movers,X0))
| ~ greater_or_equal(founding_rate(efficient_producers,X0),founding_rate(first_movers,X0))
| ~ greater(disbanding_rate(first_movers,X0),disbanding_rate(efficient_producers,X0)) ),
inference(flattening,[],[f13]) ).
fof(f15,plain,
! [X0,X1] :
( X0 = X1
| greater(X0,X1)
| ~ greater_or_equal(X0,X1) ),
inference(ennf_transformation,[],[f8]) ).
fof(f16,plain,
! [X0,X1] :
( X0 = X1
| greater(X0,X1)
| ~ greater_or_equal(X0,X1) ),
inference(flattening,[],[f15]) ).
fof(f17,plain,
! [X0] :
( ? [X1] :
( ! [X2] :
( greater_or_equal(founding_rate(efficient_producers,X2),founding_rate(first_movers,X2))
| ~ greater_or_equal(X2,X1)
| ~ subpopulations(first_movers,efficient_producers,X0,X2) )
& in_environment(X0,X1) )
| ~ stable(X0)
| ~ environment(X0) ),
inference(ennf_transformation,[],[f9]) ).
fof(f18,plain,
! [X0] :
( ? [X1] :
( ! [X2] :
( greater_or_equal(founding_rate(efficient_producers,X2),founding_rate(first_movers,X2))
| ~ greater_or_equal(X2,X1)
| ~ subpopulations(first_movers,efficient_producers,X0,X2) )
& in_environment(X0,X1) )
| ~ stable(X0)
| ~ environment(X0) ),
inference(flattening,[],[f17]) ).
fof(f19,plain,
? [X0] :
( ! [X1] :
( ? [X2] :
( ~ greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2))
& greater_or_equal(X2,X1)
& subpopulations(first_movers,efficient_producers,X0,X2) )
| ~ in_environment(X0,X1) )
& stable(X0)
& environment(X0) ),
inference(ennf_transformation,[],[f10]) ).
fof(f20,plain,
? [X0] :
( ! [X1] :
( ? [X2] :
( ~ greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2))
& greater_or_equal(X2,X1)
& subpopulations(first_movers,efficient_producers,X0,X2) )
| ~ in_environment(X0,X1) )
& stable(X0)
& environment(X0) ),
inference(flattening,[],[f19]) ).
fof(f21,plain,
( ? [X0,X1] :
( ~ greater(disbanding_rate(first_movers,X1),disbanding_rate(efficient_producers,X1))
& subpopulations(first_movers,efficient_producers,X0,X1)
& environment(X0) )
=> ( ~ greater(disbanding_rate(first_movers,sK1),disbanding_rate(efficient_producers,sK1))
& subpopulations(first_movers,efficient_producers,sK0,sK1)
& environment(sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f22,plain,
( ~ greater(disbanding_rate(first_movers,sK1),disbanding_rate(efficient_producers,sK1))
& subpopulations(first_movers,efficient_producers,sK0,sK1)
& environment(sK0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f12,f21]) ).
fof(f23,plain,
! [X0] :
( ? [X1] :
( ! [X2] :
( greater_or_equal(founding_rate(efficient_producers,X2),founding_rate(first_movers,X2))
| ~ greater_or_equal(X2,X1)
| ~ subpopulations(first_movers,efficient_producers,X0,X2) )
& in_environment(X0,X1) )
=> ( ! [X2] :
( greater_or_equal(founding_rate(efficient_producers,X2),founding_rate(first_movers,X2))
| ~ greater_or_equal(X2,sK2(X0))
| ~ subpopulations(first_movers,efficient_producers,X0,X2) )
& in_environment(X0,sK2(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f24,plain,
! [X0] :
( ( ! [X2] :
( greater_or_equal(founding_rate(efficient_producers,X2),founding_rate(first_movers,X2))
| ~ greater_or_equal(X2,sK2(X0))
| ~ subpopulations(first_movers,efficient_producers,X0,X2) )
& in_environment(X0,sK2(X0)) )
| ~ stable(X0)
| ~ environment(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f18,f23]) ).
fof(f25,plain,
( ? [X0] :
( ! [X1] :
( ? [X2] :
( ~ greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2))
& greater_or_equal(X2,X1)
& subpopulations(first_movers,efficient_producers,X0,X2) )
| ~ in_environment(X0,X1) )
& stable(X0)
& environment(X0) )
=> ( ! [X1] :
( ? [X2] :
( ~ greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2))
& greater_or_equal(X2,X1)
& subpopulations(first_movers,efficient_producers,sK3,X2) )
| ~ in_environment(sK3,X1) )
& stable(sK3)
& environment(sK3) ) ),
introduced(choice_axiom,[]) ).
fof(f26,plain,
! [X1] :
( ? [X2] :
( ~ greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2))
& greater_or_equal(X2,X1)
& subpopulations(first_movers,efficient_producers,sK3,X2) )
=> ( ~ greater(growth_rate(efficient_producers,sK4(X1)),growth_rate(first_movers,sK4(X1)))
& greater_or_equal(sK4(X1),X1)
& subpopulations(first_movers,efficient_producers,sK3,sK4(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f27,plain,
( ! [X1] :
( ( ~ greater(growth_rate(efficient_producers,sK4(X1)),growth_rate(first_movers,sK4(X1)))
& greater_or_equal(sK4(X1),X1)
& subpopulations(first_movers,efficient_producers,sK3,sK4(X1)) )
| ~ in_environment(sK3,X1) )
& stable(sK3)
& environment(sK3) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3,sK4])],[f20,f26,f25]) ).
fof(f28,plain,
environment(sK0),
inference(cnf_transformation,[],[f22]) ).
fof(f29,plain,
subpopulations(first_movers,efficient_producers,sK0,sK1),
inference(cnf_transformation,[],[f22]) ).
fof(f30,plain,
~ greater(disbanding_rate(first_movers,sK1),disbanding_rate(efficient_producers,sK1)),
inference(cnf_transformation,[],[f22]) ).
fof(f31,plain,
! [X0] :
( greater(growth_rate(efficient_producers,X0),growth_rate(first_movers,X0))
| ~ greater_or_equal(founding_rate(efficient_producers,X0),founding_rate(first_movers,X0))
| ~ greater(disbanding_rate(first_movers,X0),disbanding_rate(efficient_producers,X0)) ),
inference(cnf_transformation,[],[f14]) ).
fof(f32,plain,
! [X0,X1] :
( X0 = X1
| greater(X0,X1)
| ~ greater_or_equal(X0,X1) ),
inference(cnf_transformation,[],[f16]) ).
fof(f33,plain,
! [X0] :
( in_environment(X0,sK2(X0))
| ~ stable(X0)
| ~ environment(X0) ),
inference(cnf_transformation,[],[f24]) ).
fof(f34,plain,
! [X2,X0] :
( greater_or_equal(founding_rate(efficient_producers,X2),founding_rate(first_movers,X2))
| ~ greater_or_equal(X2,sK2(X0))
| ~ subpopulations(first_movers,efficient_producers,X0,X2)
| ~ stable(X0)
| ~ environment(X0) ),
inference(cnf_transformation,[],[f24]) ).
fof(f35,plain,
environment(sK3),
inference(cnf_transformation,[],[f27]) ).
fof(f36,plain,
stable(sK3),
inference(cnf_transformation,[],[f27]) ).
fof(f37,plain,
! [X1] :
( subpopulations(first_movers,efficient_producers,sK3,sK4(X1))
| ~ in_environment(sK3,X1) ),
inference(cnf_transformation,[],[f27]) ).
fof(f38,plain,
! [X1] :
( greater_or_equal(sK4(X1),X1)
| ~ in_environment(sK3,X1) ),
inference(cnf_transformation,[],[f27]) ).
fof(f39,plain,
! [X1] :
( ~ greater(growth_rate(efficient_producers,sK4(X1)),growth_rate(first_movers,sK4(X1)))
| ~ in_environment(sK3,X1) ),
inference(cnf_transformation,[],[f27]) ).
cnf(c_49,plain,
~ greater(disbanding_rate(first_movers,sK1),disbanding_rate(efficient_producers,sK1)),
inference(cnf_transformation,[],[f30]) ).
cnf(c_50,plain,
subpopulations(first_movers,efficient_producers,sK0,sK1),
inference(cnf_transformation,[],[f29]) ).
cnf(c_51,plain,
environment(sK0),
inference(cnf_transformation,[],[f28]) ).
cnf(c_52,plain,
( ~ greater(disbanding_rate(first_movers,X0),disbanding_rate(efficient_producers,X0))
| ~ greater_or_equal(founding_rate(efficient_producers,X0),founding_rate(first_movers,X0))
| greater(growth_rate(efficient_producers,X0),growth_rate(first_movers,X0)) ),
inference(cnf_transformation,[],[f31]) ).
cnf(c_53,plain,
( ~ greater_or_equal(X0,X1)
| X0 = X1
| greater(X0,X1) ),
inference(cnf_transformation,[],[f32]) ).
cnf(c_54,plain,
( ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ greater_or_equal(X1,sK2(X0))
| ~ environment(X0)
| ~ stable(X0)
| greater_or_equal(founding_rate(efficient_producers,X1),founding_rate(first_movers,X1)) ),
inference(cnf_transformation,[],[f34]) ).
cnf(c_55,plain,
( ~ environment(X0)
| ~ stable(X0)
| in_environment(X0,sK2(X0)) ),
inference(cnf_transformation,[],[f33]) ).
cnf(c_56,negated_conjecture,
( ~ greater(growth_rate(efficient_producers,sK4(X0)),growth_rate(first_movers,sK4(X0)))
| ~ in_environment(sK3,X0) ),
inference(cnf_transformation,[],[f39]) ).
cnf(c_57,negated_conjecture,
( ~ in_environment(sK3,X0)
| greater_or_equal(sK4(X0),X0) ),
inference(cnf_transformation,[],[f38]) ).
cnf(c_58,negated_conjecture,
( ~ in_environment(sK3,X0)
| subpopulations(first_movers,efficient_producers,sK3,sK4(X0)) ),
inference(cnf_transformation,[],[f37]) ).
cnf(c_59,negated_conjecture,
stable(sK3),
inference(cnf_transformation,[],[f36]) ).
cnf(c_60,negated_conjecture,
environment(sK3),
inference(cnf_transformation,[],[f35]) ).
cnf(c_156,plain,
X0 = X0,
theory(equality) ).
cnf(c_157,plain,
X0_1 = X0_1,
theory(equality) ).
cnf(c_158,plain,
( X0 != X1
| X2 != X1
| X2 = X0 ),
theory(equality) ).
cnf(c_159,plain,
( X0 != X1
| X2 != X3
| disbanding_rate(X0,X2) = disbanding_rate(X1,X3) ),
theory(equality) ).
cnf(c_160,plain,
( X0 != X1
| X2 != X3
| ~ greater(X1,X3)
| greater(X0,X2) ),
theory(equality) ).
cnf(c_161,plain,
( X0 != X1
| X2 != X3
| X4 != X5
| X6 != X7
| ~ subpopulations(X1,X3,X5,X7)
| subpopulations(X0,X2,X4,X6) ),
theory(equality) ).
cnf(c_162,plain,
( X0 != X1
| ~ environment(X1)
| environment(X0) ),
theory(equality) ).
cnf(c_163,plain,
( X0 != X1
| X2 != X3
| growth_rate(X0,X2) = growth_rate(X1,X3) ),
theory(equality) ).
cnf(c_164,plain,
( X0 != X1
| founding_rate(X0,X2) = founding_rate(X1,X2) ),
theory(equality) ).
cnf(c_165,plain,
( X0 != X1
| X2 != X3
| ~ greater_or_equal(X1,X3)
| greater_or_equal(X0,X2) ),
theory(equality) ).
cnf(c_166,plain,
( X0 != X1
| ~ stable(X1)
| stable(X0) ),
theory(equality) ).
cnf(c_167,plain,
( X0 != X1
| X2 != X3
| ~ in_environment(X1,X3)
| in_environment(X0,X2) ),
theory(equality) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : MGT019+2 : TPTP v8.1.2. Released v2.0.0.
% 0.00/0.13 % Command : run_iprover %s %d THM
% 0.17/0.35 % Computer : n022.cluster.edu
% 0.17/0.35 % Model : x86_64 x86_64
% 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.35 % Memory : 8042.1875MB
% 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.35 % CPULimit : 300
% 0.17/0.35 % WCLimit : 300
% 0.17/0.35 % DateTime : Mon Aug 28 06:22:39 EDT 2023
% 0.17/0.35 % CPUTime :
% 0.20/0.48 Running first-order theorem proving
% 0.20/0.48 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 1.78/1.19 % SZS status Started for theBenchmark.p
% 1.78/1.19 % SZS status CounterSatisfiable for theBenchmark.p
% 1.78/1.19
% 1.78/1.19 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 1.78/1.19
% 1.78/1.19 ------ iProver source info
% 1.78/1.19
% 1.78/1.19 git: date: 2023-05-31 18:12:56 +0000
% 1.78/1.19 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 1.78/1.19 git: non_committed_changes: false
% 1.78/1.19 git: last_make_outside_of_git: false
% 1.78/1.19
% 1.78/1.19 ------ Parsing...
% 1.78/1.19 ------ Clausification by vclausify_rel & Parsing by iProver...
% 1.78/1.19
% 1.78/1.19 ------ Preprocessing... sup_sim: 0 sf_s rm: 24 0s sf_e pe_s pe_e sf_s rm: 12 0s sf_e pe_s pe_e
% 1.78/1.19
% 1.78/1.19 ------ Preprocessing...------ preprocesses with Option_epr_horn
% 1.78/1.19 gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 1.78/1.19 ------ Proving...
% 1.78/1.19 ------ Problem Properties
% 1.78/1.19
% 1.78/1.19
% 1.78/1.19 clauses 0
% 1.78/1.19 conjectures 0
% 1.78/1.19 EPR 0
% 1.78/1.19 Horn 0
% 1.78/1.19 unary 0
% 1.78/1.19 binary 0
% 1.78/1.19 lits 0
% 1.78/1.19 lits eq 0
% 1.78/1.19 fd_pure 0
% 1.78/1.19 fd_pseudo 0
% 1.78/1.19 fd_cond 0
% 1.78/1.19 fd_pseudo_cond 0
% 1.78/1.19 AC symbols 0
% 1.78/1.19
% 1.78/1.19 ------ Schedule EPR Horn non eq is on
% 1.78/1.19
% 1.78/1.19 ------ no conjectures: strip conj schedule
% 1.78/1.19
% 1.78/1.19 ------ no equalities: superposition off
% 1.78/1.19
% 1.78/1.19 ------ Option_epr_horn stripped conjectures Time Limit: Unbounded
% 1.78/1.19
% 1.78/1.19
% 1.78/1.19
% 1.78/1.19
% 1.78/1.19 % SZS status CounterSatisfiable for theBenchmark.p
% 1.78/1.19
% 1.78/1.19 % SZS output start Saturation for theBenchmark.p
% See solution above
% 1.78/1.19
% 1.78/1.19
%------------------------------------------------------------------------------