%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : MGT021+1 : TPTP v9.3.1. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n017.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 : Thu Sep 24 01:26:03 PM UTC 2026
% Result : Theorem 0.13s 0.42s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 6
% Syntax : Number of formulae : 34 ( 5 unt; 0 def)
% Number of atoms : 121 ( 0 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 150 ( 63 ~; 49 |; 19 &)
% ( 0 <=>; 19 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% 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 : 48 ( 0 sgn 29 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(prove_l3,conjecture,
! [X1,X2] :
( ( subpopulations(first_movers,efficient_producers,X1,X2)
& environment(X1) )
=> ~ decreases(difference(disbanding_rate(first_movers,X2),disbanding_rate(efficient_producers,X2))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_l3) ).
fof(l4,hypothesis,
! [X1,X2] :
( ( subpopulations(first_movers,efficient_producers,X1,X2)
& environment(X1) )
=> ( ( constant(resources(X1,X2))
=> ~ decreases(difference(disbanding_rate(first_movers,X2),disbanding_rate(efficient_producers,X2))) )
& ( decreases(resources(X1,X2))
=> increases(difference(disbanding_rate(first_movers,X2),disbanding_rate(efficient_producers,X2))) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l4) ).
fof(a3,hypothesis,
! [X1,X2] :
( ( greater(number_of_organizations(X1,X2),zero)
& in_environment(X1,X2)
& environment(X1) )
=> ( ( ~ greater(equilibrium(X1),X2)
=> constant(resources(X1,X2)) )
& ( greater(equilibrium(X1),X2)
=> decreases(resources(X1,X2)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a3) ).
fof(mp_environment_not_empty,axiom,
! [X1,X2] :
( ( subpopulations(first_movers,efficient_producers,X1,X2)
& environment(X1) )
=> greater(number_of_organizations(X1,X2),zero) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_environment_not_empty) ).
fof(mp_time_point_in_environment,axiom,
! [X1,X2] :
( ( subpopulations(first_movers,efficient_producers,X1,X2)
& environment(X1) )
=> in_environment(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_time_point_in_environment) ).
fof(mp_increase_not_decrease,axiom,
! [X3] :
( increases(X3)
=> ~ decreases(X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_increase_not_decrease) ).
fof(c_0_6,negated_conjecture,
~ ! [X1,X2] :
( ( subpopulations(first_movers,efficient_producers,X1,X2)
& environment(X1) )
=> ~ decreases(difference(disbanding_rate(first_movers,X2),disbanding_rate(efficient_producers,X2))) ),
inference(assume_negation,[status(cth)],[prove_l3]) ).
fof(c_0_7,hypothesis,
! [X1,X2] :
( ( subpopulations(first_movers,efficient_producers,X1,X2)
& environment(X1) )
=> ( ( constant(resources(X1,X2))
=> ~ decreases(difference(disbanding_rate(first_movers,X2),disbanding_rate(efficient_producers,X2))) )
& ( decreases(resources(X1,X2))
=> increases(difference(disbanding_rate(first_movers,X2),disbanding_rate(efficient_producers,X2))) ) ) ),
inference(fof_simplification,[status(thm)],[l4]) ).
fof(c_0_8,negated_conjecture,
~ ! [X1,X2] :
( ( subpopulations(first_movers,efficient_producers,X1,X2)
& environment(X1) )
=> ~ decreases(difference(disbanding_rate(first_movers,X2),disbanding_rate(efficient_producers,X2))) ),
inference(fof_simplification,[status(thm)],[c_0_6]) ).
fof(c_0_9,hypothesis,
! [X1,X2] :
( ( greater(number_of_organizations(X1,X2),zero)
& in_environment(X1,X2)
& environment(X1) )
=> ( ( ~ greater(equilibrium(X1),X2)
=> constant(resources(X1,X2)) )
& ( greater(equilibrium(X1),X2)
=> decreases(resources(X1,X2)) ) ) ),
inference(fof_simplification,[status(thm)],[a3]) ).
fof(c_0_10,hypothesis,
! [X7,X8] :
( ( ~ subpopulations(first_movers,efficient_producers,X7,X8)
| ~ environment(X7)
| ~ decreases(difference(disbanding_rate(first_movers,X8),disbanding_rate(efficient_producers,X8)))
| ~ constant(resources(X7,X8)) )
& ( ~ subpopulations(first_movers,efficient_producers,X7,X8)
| ~ environment(X7)
| increases(difference(disbanding_rate(first_movers,X8),disbanding_rate(efficient_producers,X8)))
| ~ decreases(resources(X7,X8)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_7])])])]) ).
fof(c_0_11,negated_conjecture,
( decreases(difference(disbanding_rate(first_movers,esk2_0),disbanding_rate(efficient_producers,esk2_0)))
& subpopulations(first_movers,efficient_producers,esk1_0,esk2_0)
& environment(esk1_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_8])])]) ).
fof(c_0_12,hypothesis,
! [X5,X6] :
( ( ~ greater(number_of_organizations(X5,X6),zero)
| ~ in_environment(X5,X6)
| ~ environment(X5)
| constant(resources(X5,X6))
| greater(equilibrium(X5),X6) )
& ( ~ greater(number_of_organizations(X5,X6),zero)
| ~ in_environment(X5,X6)
| ~ environment(X5)
| decreases(resources(X5,X6))
| ~ greater(equilibrium(X5),X6) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_9])])])]) ).
fof(c_0_13,plain,
! [X11,X12] :
( greater(number_of_organizations(X11,X12),zero)
| ~ subpopulations(first_movers,efficient_producers,X11,X12)
| ~ environment(X11) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mp_environment_not_empty])])]) ).
fof(c_0_14,plain,
! [X13,X14] :
( in_environment(X13,X14)
| ~ subpopulations(first_movers,efficient_producers,X13,X14)
| ~ environment(X13) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mp_time_point_in_environment])])]) ).
cnf(c_0_15,hypothesis,
( ~ subpopulations(first_movers,efficient_producers,X1,X2)
| ~ environment(X1)
| ~ decreases(difference(disbanding_rate(first_movers,X2),disbanding_rate(efficient_producers,X2)))
| ~ constant(resources(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_16,negated_conjecture,
decreases(difference(disbanding_rate(first_movers,esk2_0),disbanding_rate(efficient_producers,esk2_0))),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_17,hypothesis,
( ~ greater(number_of_organizations(X1,X2),zero)
| ~ in_environment(X1,X2)
| ~ environment(X1)
| ~ greater(equilibrium(X1),X2)
| decreases(resources(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_18,plain,
( ~ subpopulations(first_movers,efficient_producers,X1,X2)
| ~ environment(X1)
| greater(number_of_organizations(X1,X2),zero) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_19,plain,
( ~ subpopulations(first_movers,efficient_producers,X1,X2)
| ~ environment(X1)
| in_environment(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_20,negated_conjecture,
( ~ environment(X1)
| ~ subpopulations(first_movers,efficient_producers,X1,esk2_0)
| ~ constant(resources(X1,esk2_0)) ),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_21,hypothesis,
( ~ greater(number_of_organizations(X1,X2),zero)
| ~ in_environment(X1,X2)
| ~ environment(X1)
| constant(resources(X1,X2))
| greater(equilibrium(X1),X2) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_22,hypothesis,
( ~ environment(X1)
| ~ subpopulations(first_movers,efficient_producers,X1,X2)
| ~ greater(equilibrium(X1),X2)
| decreases(resources(X1,X2)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_19]) ).
cnf(c_0_23,hypothesis,
( ~ environment(X1)
| ~ subpopulations(first_movers,efficient_producers,X1,esk2_0)
| greater(equilibrium(X1),esk2_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_19]),c_0_18]) ).
fof(c_0_24,plain,
! [X3] :
( increases(X3)
=> ~ decreases(X3) ),
inference(fof_simplification,[status(thm)],[mp_increase_not_decrease]) ).
cnf(c_0_25,hypothesis,
( ~ subpopulations(first_movers,efficient_producers,X1,X2)
| ~ environment(X1)
| ~ decreases(resources(X1,X2))
| increases(difference(disbanding_rate(first_movers,X2),disbanding_rate(efficient_producers,X2))) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_26,hypothesis,
( ~ environment(X1)
| ~ subpopulations(first_movers,efficient_producers,X1,esk2_0)
| decreases(resources(X1,esk2_0)) ),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
fof(c_0_27,plain,
! [X15] :
( ~ decreases(X15)
| ~ increases(X15) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_24])])]) ).
cnf(c_0_28,hypothesis,
( ~ environment(X1)
| ~ subpopulations(first_movers,efficient_producers,X1,esk2_0)
| increases(difference(disbanding_rate(first_movers,esk2_0),disbanding_rate(efficient_producers,esk2_0))) ),
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
cnf(c_0_29,negated_conjecture,
subpopulations(first_movers,efficient_producers,esk1_0,esk2_0),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_30,negated_conjecture,
environment(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_31,plain,
( ~ decreases(X1)
| ~ increases(X1) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_32,negated_conjecture,
increases(difference(disbanding_rate(first_movers,esk2_0),disbanding_rate(efficient_producers,esk2_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_29]),c_0_30])]) ).
cnf(c_0_33,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_32]),c_0_16])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : MGT021+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.35 % Computer : n017.cluster.edu
% 0.07/0.35 % Model : x86_64 x86_64
% 0.07/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.35 % Memory : 8046.5625MB
% 0.07/0.35 % OS : Linux 6.8.0-71-generic
% 0.07/0.35 % CPULimit : 300
% 0.07/0.35 % WCLimit : 300
% 0.07/0.35 % DateTime : Mon Sep 21 01:16:56 UTC 2026
% 0.07/0.35 % CPUTime :
% 0.07/0.35 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.40 Running first-order theorem proving
% 0.13/0.40 Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.42 % Version: 3.5.1
% 0.13/0.42 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.13/0.42 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.13/0.42 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.13/0.42 % Starting new_bool_3 with 300s (1) cores
% 0.13/0.42 % Starting new_bool_1 with 300s (1) cores
% 0.13/0.42 % Starting sh5l with 300s (1) cores
% 0.13/0.42 % new_bool_3 with pid 1112343 completed with status 0
% 0.13/0.42 % Result found by new_bool_3
% 0.13/0.42 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.13/0.42 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.13/0.42 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.13/0.42 % Starting new_bool_3 with 300s (1) cores
% 0.13/0.42 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.13/0.42 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.13/0.42 % Search class: FGHNF-FFSS21-SFFFFFNN
% 0.13/0.42 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.13/0.42 % Starting SubtermCWHack with 31s (1) cores
% 0.13/0.42 % SubtermCWHack with pid 1112349 completed with status 0
% 0.13/0.42 % Result found by SubtermCWHack
% 0.13/0.42 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.13/0.42 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.13/0.42 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.13/0.42 % Starting new_bool_3 with 300s (1) cores
% 0.13/0.42 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.13/0.42 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.13/0.42 % Search class: FGHNF-FFSS21-SFFFFFNN
% 0.13/0.42 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.13/0.42 % Starting SubtermCWHack with 31s (1) cores
% 0.13/0.42 % Preprocessing time : 0.001 s
% 0.13/0.42
% 0.13/0.42 % Proof found!
% 0.13/0.42 % SZS status Theorem
% 0.13/0.42 % SZS output start CNFRefutation
% See solution above
% 0.13/0.42 % Parsed axioms : 7
% 0.13/0.42 % Removed by relevancy pruning/SinE : 1
% 0.13/0.42 % Initial clauses : 10
% 0.13/0.42 % Removed in clause preprocessing : 0
% 0.13/0.42 % Initial clauses in saturation : 10
% 0.13/0.42 % Processed clauses : 16
% 0.13/0.42 % ...of these trivial : 0
% 0.13/0.42 % ...subsumed : 0
% 0.13/0.42 % ...remaining for further processing : 16
% 0.13/0.42 % Other redundant clauses eliminated : 0
% 0.13/0.42 % Clauses deleted for lack of memory : 0
% 0.13/0.42 % Backward-subsumed : 0
% 0.13/0.42 % Backward-rewritten : 1
% 0.13/0.42 % Generated clauses : 7
% 0.13/0.42 % ...of the previous two non-redundant : 6
% 0.13/0.42 % ...aggressively subsumed : 0
% 0.13/0.42 % Contextual simplify-reflections : 3
% 0.13/0.42 % Paramodulations : 7
% 0.13/0.42 % Factorizations : 0
% 0.13/0.42 % NegExts : 0
% 0.13/0.42 % Equation resolutions : 0
% 0.13/0.42 % Disequality decompositions : 0
% 0.13/0.42 % Total rewrite steps : 3
% 0.13/0.42 % ...of those cached : 0
% 0.13/0.42 % Propositional unsat checks : 0
% 0.13/0.42 % Propositional check models : 0
% 0.13/0.42 % Propositional check unsatisfiable : 0
% 0.13/0.42 % Propositional clauses : 0
% 0.13/0.42 % Propositional clauses after purity: 0
% 0.13/0.42 % Propositional unsat core size : 0
% 0.13/0.42 % Propositional preprocessing time : 0.000
% 0.13/0.42 % Propositional encoding time : 0.000
% 0.13/0.42 % Propositional solver time : 0.000
% 0.13/0.42 % Success case prop preproc time : 0.000
% 0.13/0.42 % Success case prop encoding time : 0.000
% 0.13/0.42 % Success case prop solver time : 0.000
% 0.13/0.42 % Current number of processed clauses : 15
% 0.13/0.42 % Positive orientable unit clauses : 4
% 0.13/0.42 % Positive unorientable unit clauses: 0
% 0.13/0.42 % Negative unit clauses : 0
% 0.13/0.42 % Non-unit-clauses : 11
% 0.13/0.42 % Current number of unprocessed clauses: 0
% 0.13/0.42 % ...number of literals in the above : 0
% 0.13/0.42 % Current number of archived formulas : 0
% 0.13/0.42 % Current number of archived clauses : 1
% 0.13/0.42 % Clause-clause subsumption calls (NU) : 52
% 0.13/0.42 % Rec. Clause-clause subsumption calls : 21
% 0.13/0.42 % Non-unit clause-clause subsumptions : 3
% 0.13/0.42 % Unit Clause-clause subsumption calls : 0
% 0.13/0.42 % Rewrite failures with RHS unbound : 0
% 0.13/0.42 % BW rewrite match attempts : 2
% 0.13/0.42 % BW rewrite match successes : 1
% 0.13/0.42 % Condensation attempts : 0
% 0.13/0.42 % Condensation successes : 0
% 0.13/0.42 % Termbank termtop insertions : 1208
% 0.13/0.42 % Search garbage collected termcells : 168
% 0.13/0.42
% 0.13/0.42 % -------------------------------------------------
% 0.13/0.42 % User time : 0.005 s
% 0.13/0.42 % System time : 0.002 s
% 0.13/0.42 % Total time : 0.007 s
% 0.13/0.42 % Maximum resident set size: 3640 pages
% 0.13/0.42
% 0.13/0.42 % -------------------------------------------------
% 0.13/0.42 % User time : 0.007 s
% 0.13/0.42 % System time : 0.006 s
% 0.13/0.42 % Total time : 0.013 s
% 0.13/0.42 % Maximum resident set size: 4608 pages
% 0.13/0.42 % E exiting
%------------------------------------------------------------------------------