%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : MGT021-1 : 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 : n020.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 02:12:22 PM UTC 2026
% Result : Unsatisfiable 1.21s 1.26s
% Output : CNFRefutation 1.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 10
% Syntax : Number of formulae : 32 ( 8 unt; 0 def)
% Number of atoms : 96 ( 0 equ)
% Maximal formula atoms : 6 ( 3 avg)
% Number of connectives : 135 ( 71 ~; 64 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 8 ( 7 usr; 1 prp; 0-4 aty)
% Number of functors : 10 ( 10 usr; 5 con; 0-2 aty)
% Number of variables : 41 ( 0 sgn 41 !; 0 ?; 28 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( in_environment(X0,X1)
| ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ environment(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_time_point_in_environment_27) ).
fof(f2,axiom,
! [X0,X1] :
( greater(number_of_organizations(X0,X1),zero)
| ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ environment(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_environment_not_empty_28) ).
fof(f3,axiom,
! [X0] :
( ~ decreases(X0)
| ~ increases(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_increase_not_decrease_29) ).
fof(f5,axiom,
! [X0,X1] :
( decreases(resources(X0,X1))
| ~ greater(equilibrium(X0),X1)
| ~ greater(number_of_organizations(X0,X1),zero)
| ~ in_environment(X0,X1)
| ~ environment(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a3_31) ).
fof(f6,axiom,
! [X0,X1] :
( constant(resources(X0,X1))
| greater(equilibrium(X0),X1)
| ~ greater(number_of_organizations(X0,X1),zero)
| ~ in_environment(X0,X1)
| ~ environment(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a3_32) ).
fof(f7,axiom,
! [X0,X1] :
( increases(difference(disbanding_rate(first_movers,X1),disbanding_rate(efficient_producers,X1)))
| ~ decreases(resources(X0,X1))
| ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ environment(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l4_33) ).
fof(f8,axiom,
! [X0,X1] :
( ~ decreases(difference(disbanding_rate(first_movers,X1),disbanding_rate(efficient_producers,X1)))
| ~ constant(resources(X0,X1))
| ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ environment(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l4_34) ).
fof(f9,negated_conjecture,
environment(sk1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_l3_35) ).
fof(f10,negated_conjecture,
subpopulations(first_movers,efficient_producers,sk1,sk2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_l3_36) ).
fof(f11,negated_conjecture,
decreases(difference(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,sk2))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_l3_37) ).
tcf(c_60,plain,
! [X0: $i,X1: $i] :
( in_environment(X0,X1)
| ~ environment(X0)
| ~ subpopulations(first_movers,efficient_producers,X0,X1) ),
inference(cnf_transformation,[],[f1]) ).
tcf(c_61,plain,
! [X0: $i,X1: $i] :
( greater(number_of_organizations(X0,X1),zero)
| ~ environment(X0)
| ~ subpopulations(first_movers,efficient_producers,X0,X1) ),
inference(cnf_transformation,[],[f2]) ).
tcf(c_62,plain,
! [X0: $i] :
( ~ decreases(X0)
| ~ increases(X0) ),
inference(cnf_transformation,[],[f3]) ).
tcf(c_63,plain,
! [X0: $i,X1: $i] :
( decreases(resources(X0,X1))
| ~ environment(X0)
| ~ in_environment(X0,X1)
| ~ greater(equilibrium(X0),X1)
| ~ greater(number_of_organizations(X0,X1),zero) ),
inference(cnf_transformation,[],[f5]) ).
tcf(c_64,plain,
! [X0: $i,X1: $i] :
( constant(resources(X0,X1))
| greater(equilibrium(X0),X1)
| ~ environment(X0)
| ~ in_environment(X0,X1)
| ~ greater(number_of_organizations(X0,X1),zero) ),
inference(cnf_transformation,[],[f6]) ).
tcf(c_65,plain,
! [X0: $i,X1: $i] :
( increases(difference(disbanding_rate(first_movers,X1),disbanding_rate(efficient_producers,X1)))
| ~ environment(X0)
| ~ decreases(resources(X0,X1))
| ~ subpopulations(first_movers,efficient_producers,X0,X1) ),
inference(cnf_transformation,[],[f7]) ).
tcf(c_66,plain,
! [X0: $i,X1: $i] :
( ~ environment(X1)
| ~ constant(resources(X1,X0))
| ~ subpopulations(first_movers,efficient_producers,X1,X0)
| ~ decreases(difference(disbanding_rate(first_movers,X0),disbanding_rate(efficient_producers,X0))) ),
inference(cnf_transformation,[],[f8]) ).
tcf(c_67,negated_conjecture,
environment(sk1),
inference(cnf_transformation,[],[f9]) ).
tcf(c_68,negated_conjecture,
subpopulations(first_movers,efficient_producers,sk1,sk2),
inference(cnf_transformation,[],[f10]) ).
tcf(c_69,negated_conjecture,
decreases(difference(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,sk2))),
inference(cnf_transformation,[],[f11]) ).
tcf(c_135,plain,
! [X0: $i,X1: $i] :
( ~ environment(X1)
| ~ decreases(resources(X1,X0))
| ~ subpopulations(first_movers,efficient_producers,X1,X0)
| ~ decreases(difference(disbanding_rate(first_movers,X0),disbanding_rate(efficient_producers,X0))) ),
inference(resolution,[status(thm)],[c_62,c_65]) ).
tcf(c_153,plain,
! [X0: $i,X1: $i] :
( greater(equilibrium(X1),X0)
| ~ environment(X1)
| ~ in_environment(X1,X0)
| ~ greater(number_of_organizations(X1,X0),zero)
| ~ subpopulations(first_movers,efficient_producers,X1,X0)
| ~ decreases(difference(disbanding_rate(first_movers,X0),disbanding_rate(efficient_producers,X0))) ),
inference(resolution,[status(thm)],[c_64,c_66]) ).
tcf(c_167,plain,
! [X0: $i,X1: $i] :
( greater(equilibrium(X1),X0)
| ~ environment(X1)
| ~ subpopulations(first_movers,efficient_producers,X1,X0)
| ~ decreases(difference(disbanding_rate(first_movers,X0),disbanding_rate(efficient_producers,X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_153,c_60,c_61]) ).
tcf(c_177,plain,
! [X0: $i,X1: $i] :
( decreases(resources(X0,X1))
| ~ environment(X0)
| ~ greater(equilibrium(X0),X1)
| ~ greater(number_of_organizations(X0,X1),zero)
| ~ subpopulations(first_movers,efficient_producers,X0,X1) ),
inference(resolution,[status(thm)],[c_60,c_63]) ).
tcf(c_179,plain,
! [X0: $i,X1: $i] :
( decreases(resources(X0,X1))
| ~ environment(X0)
| ~ greater(equilibrium(X0),X1)
| ~ subpopulations(first_movers,efficient_producers,X0,X1) ),
inference(global_subsumption_just,[status(thm)],[c_177,c_60,c_61,c_63]) ).
tcf(c_198,plain,
! [X0: $i] :
( decreases(resources(sk1,X0))
| ~ greater(equilibrium(sk1),X0)
| ~ subpopulations(first_movers,efficient_producers,sk1,X0) ),
inference(resolution,[status(thm)],[c_179,c_67]) ).
tcf(c_217,plain,
! [X0: $i] :
( greater(equilibrium(sk1),X0)
| ~ subpopulations(first_movers,efficient_producers,sk1,X0)
| ~ decreases(difference(disbanding_rate(first_movers,X0),disbanding_rate(efficient_producers,X0))) ),
inference(resolution,[status(thm)],[c_167,c_67]) ).
tcf(c_228,plain,
! [X0: $i] :
( ~ decreases(resources(sk1,X0))
| ~ subpopulations(first_movers,efficient_producers,sk1,X0)
| ~ decreases(difference(disbanding_rate(first_movers,X0),disbanding_rate(efficient_producers,X0))) ),
inference(resolution,[status(thm)],[c_135,c_67]) ).
tcf(c_230,plain,
! [X0: $i] :
( ~ decreases(difference(disbanding_rate(first_movers,X0),disbanding_rate(efficient_producers,X0)))
| ~ subpopulations(first_movers,efficient_producers,sk1,X0) ),
inference(global_subsumption_just,[status(thm)],[c_228,c_198,c_217,c_228]) ).
tcf(c_231,plain,
! [X0: $i] :
( ~ subpopulations(first_movers,efficient_producers,sk1,X0)
| ~ decreases(difference(disbanding_rate(first_movers,X0),disbanding_rate(efficient_producers,X0))) ),
inference(renaming,[status(thm)],[c_230]) ).
tcf(c_246,plain,
~ decreases(difference(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,sk2))),
inference(resolution,[status(thm)],[c_68,c_231]) ).
tcf(c_247,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_246,c_69]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT021-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.36 % Computer : n020.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Thu Sep 24 01:03:03 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.39 Running first-order theorem proving
% 0.10/0.39 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
% 0.10/0.40
% 0.10/0.40 % ======== iProver multi-core TPTP/SMT =========
% 0.10/0.40
% 0.10/0.40 % Detected problem language: tptp
% 0.10/0.41 % Proving...
% 1.21/1.26 % SZS status Started for theBenchmark.p
% 1.21/1.26 % SZS status Unsatisfiable for theBenchmark.p
% 1.21/1.26
% 1.21/1.26 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.21/1.26
% 1.21/1.26 % ------ iProver source info
% 1.21/1.26
% 1.21/1.26 % git: date: 2026-07-19 20:42:38 +0200
% 1.21/1.26 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.21/1.26 % git: non_committed_changes: false
% 1.21/1.26
% 1.21/1.26 % ------ Parsing...% successful
% 1.21/1.26
% 1.21/1.26
% 1.21/1.26 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 1.21/1.26
% 1.21/1.26 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe:1:0s pe:2:0s pe:4:0s%
% 1.21/1.26
% 1.21/1.26 % SZS status Unsatisfiable for theBenchmark.p
% 1.21/1.26
% 1.21/1.26 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.21/1.26
% 1.21/1.26
%------------------------------------------------------------------------------