%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : MGT036-1 : TPTP v9.2.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n020.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 04:48:15 PM UTC 2026
% Result : Unsatisfiable 1.22s 1.71s
% Output : CNFRefutation 1.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 12
% Syntax : Number of clauses : 38 ( 14 unt; 0 nHn; 33 RR)
% Number of literals : 87 ( 0 equ; 55 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-4 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 72 ( 16 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(d2_9,hypothesis,
( greater(zero,growth_rate(X2,X4))
| ~ environment(X1)
| ~ subpopulations(X2,X3,X1,X4)
| ~ outcompetes(X3,X2,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d2_9) ).
cnf(mp_symmetry_of_FM_and_EP_1,axiom,
( subpopulations(efficient_producers,first_movers,X1,X2)
| ~ environment(X1)
| ~ subpopulations(first_movers,efficient_producers,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_symmetry_of_FM_and_EP_1) ).
cnf(prove_t5_13,negated_conjecture,
subpopulations(first_movers,efficient_producers,sk1,sk2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_t5_13) ).
cnf(prove_t5_14,negated_conjecture,
outcompetes(first_movers,efficient_producers,sk2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_t5_14) ).
cnf(prove_t5_12,negated_conjecture,
environment(sk1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_t5_12) ).
cnf(mp_growth_rate_relationships_3,axiom,
( environment(X1)
| ~ greater(zero,growth_rate(X2,X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_growth_rate_relationships_3) ).
cnf(d2_8,hypothesis,
( greater_or_equal(growth_rate(X3,X4),zero)
| ~ environment(X1)
| ~ subpopulations(X2,X3,X1,X4)
| ~ outcompetes(X3,X2,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d2_8) ).
cnf(mp_growth_rate_relationships_4,axiom,
( subpopulations(X1,X2,X3,X4)
| ~ greater(zero,growth_rate(X1,X4)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_growth_rate_relationships_4) ).
cnf(a12_10,hypothesis,
( greater(zero,growth_rate(X3,X2))
| ~ environment(X1)
| ~ in_environment(X1,X2)
| ~ greater(resilience(X4),resilience(X3))
| ~ greater(zero,growth_rate(X4,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a12_10) ).
cnf(mp_growth_rate_relationships_5,axiom,
( ~ greater_or_equal(growth_rate(X1,X2),zero)
| ~ greater(zero,growth_rate(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_growth_rate_relationships_5) ).
cnf(a2_11,hypothesis,
greater(resilience(efficient_producers),resilience(first_movers)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a2_11) ).
cnf(mp_time_point_occur_2,axiom,
( in_environment(X1,X2)
| ~ environment(X1)
| ~ subpopulations(first_movers,efficient_producers,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_time_point_occur_2) ).
cnf(c_0_12,hypothesis,
( greater(zero,growth_rate(X2,X4))
| ~ environment(X1)
| ~ subpopulations(X2,X3,X1,X4)
| ~ outcompetes(X3,X2,X4) ),
d2_9 ).
cnf(c_0_13,axiom,
( subpopulations(efficient_producers,first_movers,X1,X2)
| ~ environment(X1)
| ~ subpopulations(first_movers,efficient_producers,X1,X2) ),
mp_symmetry_of_FM_and_EP_1 ).
cnf(c_0_14,hypothesis,
( greater(zero,growth_rate(efficient_producers,X1))
| ~ outcompetes(first_movers,efficient_producers,X1)
| ~ subpopulations(first_movers,efficient_producers,X2,X1)
| ~ environment(X2) ),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_15,negated_conjecture,
subpopulations(first_movers,efficient_producers,sk1,sk2),
prove_t5_13 ).
cnf(c_0_16,negated_conjecture,
outcompetes(first_movers,efficient_producers,sk2),
prove_t5_14 ).
cnf(c_0_17,negated_conjecture,
environment(sk1),
prove_t5_12 ).
cnf(c_0_18,axiom,
( environment(X1)
| ~ greater(zero,growth_rate(X2,X3)) ),
mp_growth_rate_relationships_3 ).
cnf(c_0_19,negated_conjecture,
greater(zero,growth_rate(efficient_producers,sk2)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_15]),c_0_16]),c_0_17])]) ).
cnf(c_0_20,hypothesis,
( greater_or_equal(growth_rate(X3,X4),zero)
| ~ environment(X1)
| ~ subpopulations(X2,X3,X1,X4)
| ~ outcompetes(X3,X2,X4) ),
d2_8 ).
cnf(c_0_21,negated_conjecture,
environment(X1),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_22,hypothesis,
( greater_or_equal(growth_rate(X1,X2),zero)
| ~ outcompetes(X1,X3,X2)
| ~ subpopulations(X3,X1,X4,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_20,c_0_21])]) ).
cnf(c_0_23,axiom,
( subpopulations(X1,X2,X3,X4)
| ~ greater(zero,growth_rate(X1,X4)) ),
mp_growth_rate_relationships_4 ).
cnf(c_0_24,hypothesis,
( greater_or_equal(growth_rate(X1,X2),zero)
| ~ outcompetes(X1,X3,X2)
| ~ greater(zero,growth_rate(X3,X2)) ),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_25,hypothesis,
( greater(zero,growth_rate(X3,X2))
| ~ environment(X1)
| ~ in_environment(X1,X2)
| ~ greater(resilience(X4),resilience(X3))
| ~ greater(zero,growth_rate(X4,X2)) ),
a12_10 ).
cnf(c_0_26,axiom,
( ~ greater_or_equal(growth_rate(X1,X2),zero)
| ~ greater(zero,growth_rate(X1,X2)) ),
mp_growth_rate_relationships_5 ).
cnf(c_0_27,negated_conjecture,
( greater_or_equal(growth_rate(X1,sk2),zero)
| ~ outcompetes(X1,efficient_producers,sk2) ),
inference(spm,[status(thm)],[c_0_24,c_0_19]) ).
cnf(c_0_28,hypothesis,
( greater(zero,growth_rate(X1,X2))
| ~ greater(zero,growth_rate(X3,X2))
| ~ greater(resilience(X3),resilience(X1))
| ~ in_environment(X4,X2) ),
inference(csr,[status(thm)],[c_0_25,c_0_18]) ).
cnf(c_0_29,negated_conjecture,
( ~ outcompetes(X1,efficient_producers,sk2)
| ~ greater(zero,growth_rate(X1,sk2)) ),
inference(spm,[status(thm)],[c_0_26,c_0_27]) ).
cnf(c_0_30,negated_conjecture,
( greater(zero,growth_rate(X1,sk2))
| ~ greater(resilience(efficient_producers),resilience(X1))
| ~ in_environment(X2,sk2) ),
inference(spm,[status(thm)],[c_0_28,c_0_19]) ).
cnf(c_0_31,hypothesis,
greater(resilience(efficient_producers),resilience(first_movers)),
a2_11 ).
cnf(c_0_32,negated_conjecture,
~ greater(zero,growth_rate(first_movers,sk2)),
inference(spm,[status(thm)],[c_0_29,c_0_16]) ).
cnf(c_0_33,axiom,
( in_environment(X1,X2)
| ~ environment(X1)
| ~ subpopulations(first_movers,efficient_producers,X1,X2) ),
mp_time_point_occur_2 ).
cnf(c_0_34,hypothesis,
~ in_environment(X1,sk2),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_31]),c_0_32]) ).
cnf(c_0_35,plain,
( in_environment(X1,X2)
| ~ subpopulations(first_movers,efficient_producers,X1,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_33,c_0_21])]) ).
cnf(c_0_36,hypothesis,
~ subpopulations(first_movers,efficient_producers,X1,sk2),
inference(spm,[status(thm)],[c_0_34,c_0_35]) ).
cnf(c_0_37,negated_conjecture,
$false,
inference(sr,[status(thm)],[c_0_15,c_0_36]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : MGT036-1 : TPTP v9.2.1. Released v2.4.0.
% 0.00/0.12 % Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.15/0.32 % Computer : n020.cluster.edu
% 0.15/0.32 % Model : x86_64 x86_64
% 0.15/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.32 % Memory : 8042.1875MB
% 0.15/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.32 % CPULimit : 300
% 0.15/0.32 % WCLimit : 300
% 0.15/0.32 % DateTime : Mon May 4 23:28:34 EDT 2026
% 0.15/0.32 % CPUTime :
% 0.15/0.33 % start to proof: theBenchmark
% 1.22/1.71 % Version : CSE_E---1.7
% 1.22/1.71 % Problem : theBenchmark.p
% 1.22/1.71 % SZS status Unsatisfiable for theBenchmark.p
% 1.22/1.71 % SZS output start CNFRefutation
% See solution above
% 1.22/1.71 % Total time : 1.370s
%------------------------------------------------------------------------------