%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : MGT022-2 : 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 : n018.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 1.25s 1.71s
% Output : CNFRefutation 1.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 9
% Syntax : Number of clauses : 26 ( 10 unt; 4 nHn; 26 RR)
% Number of literals : 58 ( 0 equ; 31 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-4 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 22 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(a6_3,hypothesis,
( constant(difference(disbanding_rate(X2,X4),disbanding_rate(X3,X4)))
| ~ environment(X1)
| ~ subpopulations(X2,X3,X1,X4)
| ~ greater(resilience(X3),resilience(X2))
| ~ constant(resources(X1,X4)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a6_3) ).
cnf(a2_4,hypothesis,
greater(resilience(efficient_producers),resilience(first_movers)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a2_4) ).
cnf(prove_l4_6,negated_conjecture,
subpopulations(first_movers,efficient_producers,sk1,sk2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_l4_6) ).
cnf(prove_l4_5,negated_conjecture,
environment(sk1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_l4_5) ).
cnf(mp_constant_not_decrease_1,axiom,
( ~ constant(X1)
| ~ decreases(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_constant_not_decrease_1) ).
cnf(a6_2,hypothesis,
( increases(difference(disbanding_rate(X2,X4),disbanding_rate(X3,X4)))
| ~ environment(X1)
| ~ subpopulations(X2,X3,X1,X4)
| ~ greater(resilience(X3),resilience(X2))
| ~ decreases(resources(X1,X4)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a6_2) ).
cnf(prove_l4_8,negated_conjecture,
( decreases(resources(sk1,sk2))
| decreases(difference(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,sk2))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_l4_8) ).
cnf(prove_l4_7,negated_conjecture,
( decreases(resources(sk1,sk2))
| constant(resources(sk1,sk2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_l4_7) ).
cnf(prove_l4_9,negated_conjecture,
( constant(resources(sk1,sk2))
| ~ increases(difference(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,sk2))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_l4_9) ).
cnf(c_0_9,hypothesis,
( constant(difference(disbanding_rate(X2,X4),disbanding_rate(X3,X4)))
| ~ environment(X1)
| ~ subpopulations(X2,X3,X1,X4)
| ~ greater(resilience(X3),resilience(X2))
| ~ constant(resources(X1,X4)) ),
a6_3 ).
cnf(c_0_10,hypothesis,
greater(resilience(efficient_producers),resilience(first_movers)),
a2_4 ).
cnf(c_0_11,hypothesis,
( constant(difference(disbanding_rate(first_movers,X1),disbanding_rate(efficient_producers,X1)))
| ~ subpopulations(first_movers,efficient_producers,X2,X1)
| ~ environment(X2)
| ~ constant(resources(X2,X1)) ),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_12,negated_conjecture,
subpopulations(first_movers,efficient_producers,sk1,sk2),
prove_l4_6 ).
cnf(c_0_13,negated_conjecture,
environment(sk1),
prove_l4_5 ).
cnf(c_0_14,axiom,
( ~ constant(X1)
| ~ decreases(X1) ),
mp_constant_not_decrease_1 ).
cnf(c_0_15,negated_conjecture,
( constant(difference(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,sk2)))
| ~ constant(resources(sk1,sk2)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_12]),c_0_13])]) ).
cnf(c_0_16,hypothesis,
( increases(difference(disbanding_rate(X2,X4),disbanding_rate(X3,X4)))
| ~ environment(X1)
| ~ subpopulations(X2,X3,X1,X4)
| ~ greater(resilience(X3),resilience(X2))
| ~ decreases(resources(X1,X4)) ),
a6_2 ).
cnf(c_0_17,negated_conjecture,
( ~ decreases(difference(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,sk2)))
| ~ constant(resources(sk1,sk2)) ),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_18,negated_conjecture,
( decreases(resources(sk1,sk2))
| decreases(difference(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,sk2))) ),
prove_l4_8 ).
cnf(c_0_19,negated_conjecture,
( decreases(resources(sk1,sk2))
| constant(resources(sk1,sk2)) ),
prove_l4_7 ).
cnf(c_0_20,hypothesis,
( increases(difference(disbanding_rate(first_movers,X1),disbanding_rate(efficient_producers,X1)))
| ~ subpopulations(first_movers,efficient_producers,X2,X1)
| ~ environment(X2)
| ~ decreases(resources(X2,X1)) ),
inference(spm,[status(thm)],[c_0_16,c_0_10]) ).
cnf(c_0_21,negated_conjecture,
decreases(resources(sk1,sk2)),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_19]) ).
cnf(c_0_22,negated_conjecture,
( constant(resources(sk1,sk2))
| ~ increases(difference(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,sk2))) ),
prove_l4_9 ).
cnf(c_0_23,negated_conjecture,
increases(difference(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,sk2))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_12]),c_0_13])]),c_0_21])]) ).
cnf(c_0_24,negated_conjecture,
constant(resources(sk1,sk2)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_22,c_0_23])]) ).
cnf(c_0_25,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_24]),c_0_21])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : MGT022-2 : 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
% 0.14/0.32 % Computer : n018.cluster.edu
% 0.14/0.32 % Model : x86_64 x86_64
% 0.14/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.32 % Memory : 8042.1875MB
% 0.14/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.32 % CPULimit : 300
% 0.14/0.32 % WCLimit : 300
% 0.14/0.32 % DateTime : Mon May 4 23:27:02 EDT 2026
% 0.14/0.33 % CPUTime :
% 0.14/0.34 % start to proof: theBenchmark
% 1.25/1.71 % Version : CSE_E---1.7
% 1.25/1.71 % Problem : theBenchmark.p
% 1.25/1.71 % SZS status Unsatisfiable for theBenchmark.p
% 1.25/1.71 % SZS output start CNFRefutation
% See solution above
% 1.25/1.71 % Total time : 1.371s
%------------------------------------------------------------------------------