%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : MGT021-1 : TPTP v9.2.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n003.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 : Tue May 5 04:47:08 PM UTC 2026
% Result : Unsatisfiable 1.24s 1.71s
% Output : CNFRefutation 1.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 10
% Syntax : Number of clauses : 28 ( 9 unt; 4 nHn; 28 RR)
% Number of literals : 76 ( 0 equ; 50 neg)
% Maximal clause size : 5 ( 2 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 : 31 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(a3_32,hypothesis,
( greater(equilibrium(X1),X2)
| constant(resources(X1,X2))
| ~ environment(X1)
| ~ in_environment(X1,X2)
| ~ greater(number_of_organizations(X1,X2),zero) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a3_32) ).
cnf(mp_environment_not_empty_28,axiom,
( greater(number_of_organizations(X1,X2),zero)
| ~ environment(X1)
| ~ subpopulations(first_movers,efficient_producers,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_environment_not_empty_28) ).
cnf(mp_time_point_in_environment_27,axiom,
( in_environment(X1,X2)
| ~ environment(X1)
| ~ subpopulations(first_movers,efficient_producers,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_time_point_in_environment_27) ).
cnf(l4_34,hypothesis,
( ~ environment(X1)
| ~ subpopulations(first_movers,efficient_producers,X1,X2)
| ~ constant(resources(X1,X2))
| ~ decreases(difference(disbanding_rate(first_movers,X2),disbanding_rate(efficient_producers,X2))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l4_34) ).
cnf(prove_l3_37,negated_conjecture,
decreases(difference(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,sk2))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_l3_37) ).
cnf(prove_l3_36,negated_conjecture,
subpopulations(first_movers,efficient_producers,sk1,sk2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_l3_36) ).
cnf(prove_l3_35,negated_conjecture,
environment(sk1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_l3_35) ).
cnf(l4_33,hypothesis,
( increases(difference(disbanding_rate(first_movers,X2),disbanding_rate(efficient_producers,X2)))
| ~ environment(X1)
| ~ subpopulations(first_movers,efficient_producers,X1,X2)
| ~ decreases(resources(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l4_33) ).
cnf(a3_31,hypothesis,
( decreases(resources(X1,X2))
| ~ environment(X1)
| ~ in_environment(X1,X2)
| ~ greater(number_of_organizations(X1,X2),zero)
| ~ greater(equilibrium(X1),X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a3_31) ).
cnf(mp_increase_not_decrease_29,axiom,
( ~ increases(X1)
| ~ decreases(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_increase_not_decrease_29) ).
cnf(c_0_10,hypothesis,
( greater(equilibrium(X1),X2)
| constant(resources(X1,X2))
| ~ environment(X1)
| ~ in_environment(X1,X2)
| ~ greater(number_of_organizations(X1,X2),zero) ),
a3_32 ).
cnf(c_0_11,axiom,
( greater(number_of_organizations(X1,X2),zero)
| ~ environment(X1)
| ~ subpopulations(first_movers,efficient_producers,X1,X2) ),
mp_environment_not_empty_28 ).
cnf(c_0_12,axiom,
( in_environment(X1,X2)
| ~ environment(X1)
| ~ subpopulations(first_movers,efficient_producers,X1,X2) ),
mp_time_point_in_environment_27 ).
cnf(c_0_13,hypothesis,
( ~ environment(X1)
| ~ subpopulations(first_movers,efficient_producers,X1,X2)
| ~ constant(resources(X1,X2))
| ~ decreases(difference(disbanding_rate(first_movers,X2),disbanding_rate(efficient_producers,X2))) ),
l4_34 ).
cnf(c_0_14,negated_conjecture,
decreases(difference(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,sk2))),
prove_l3_37 ).
cnf(c_0_15,hypothesis,
( constant(resources(X1,X2))
| greater(equilibrium(X1),X2)
| ~ subpopulations(first_movers,efficient_producers,X1,X2)
| ~ environment(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_11]),c_0_12]) ).
cnf(c_0_16,negated_conjecture,
subpopulations(first_movers,efficient_producers,sk1,sk2),
prove_l3_36 ).
cnf(c_0_17,negated_conjecture,
environment(sk1),
prove_l3_35 ).
cnf(c_0_18,hypothesis,
( increases(difference(disbanding_rate(first_movers,X2),disbanding_rate(efficient_producers,X2)))
| ~ environment(X1)
| ~ subpopulations(first_movers,efficient_producers,X1,X2)
| ~ decreases(resources(X1,X2)) ),
l4_33 ).
cnf(c_0_19,hypothesis,
( decreases(resources(X1,X2))
| ~ environment(X1)
| ~ in_environment(X1,X2)
| ~ greater(number_of_organizations(X1,X2),zero)
| ~ greater(equilibrium(X1),X2) ),
a3_31 ).
cnf(c_0_20,negated_conjecture,
( ~ constant(resources(X1,sk2))
| ~ subpopulations(first_movers,efficient_producers,X1,sk2)
| ~ environment(X1) ),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_21,negated_conjecture,
( constant(resources(sk1,sk2))
| greater(equilibrium(sk1),sk2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_16]),c_0_17])]) ).
cnf(c_0_22,axiom,
( ~ increases(X1)
| ~ decreases(X1) ),
mp_increase_not_decrease_29 ).
cnf(c_0_23,negated_conjecture,
( increases(difference(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,sk2)))
| ~ decreases(resources(sk1,sk2)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_16]),c_0_17])]) ).
cnf(c_0_24,hypothesis,
( decreases(resources(X1,X2))
| ~ greater(equilibrium(X1),X2)
| ~ subpopulations(first_movers,efficient_producers,X1,X2)
| ~ environment(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_11]),c_0_12]) ).
cnf(c_0_25,negated_conjecture,
greater(equilibrium(sk1),sk2),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_16]),c_0_17])]) ).
cnf(c_0_26,negated_conjecture,
~ decreases(resources(sk1,sk2)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_23]),c_0_14])]) ).
cnf(c_0_27,hypothesis,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_16]),c_0_17])]),c_0_26]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : MGT021-1 : TPTP v9.2.1. Released v2.4.0.
% 0.00/0.11 % Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.16/0.32 % Computer : n003.cluster.edu
% 0.16/0.32 % Model : x86_64 x86_64
% 0.16/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.32 % Memory : 8042.1875MB
% 0.16/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.32 % CPULimit : 300
% 0.16/0.32 % WCLimit : 300
% 0.16/0.32 % DateTime : Mon May 4 23:26:41 EDT 2026
% 0.16/0.32 % CPUTime :
% 0.16/0.33 % start to proof: theBenchmark
% 1.24/1.71 % Version : CSE_E---1.7
% 1.24/1.71 % Problem : theBenchmark.p
% 1.24/1.71 % SZS status Unsatisfiable for theBenchmark.p
% 1.24/1.71 % SZS output start CNFRefutation
% See solution above
% 1.24/1.71 % Total time : 1.370s
%------------------------------------------------------------------------------