TSTP Solution File: MGT022-2 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : MGT022-2 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% Computer : n029.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 : Thu Aug 31 09:07:22 EDT 2023
% Result : Unsatisfiable 0.19s 0.55s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 23
% Syntax : Number of formulae : 40 ( 10 unt; 14 typ; 0 def)
% Number of atoms : 58 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 63 ( 31 ~; 32 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 17 ( 10 >; 7 *; 0 +; 0 <<)
% 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; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
constant: $i > $o ).
tff(decl_23,type,
decreases: $i > $o ).
tff(decl_24,type,
environment: $i > $o ).
tff(decl_25,type,
subpopulations: ( $i * $i * $i * $i ) > $o ).
tff(decl_26,type,
resilience: $i > $i ).
tff(decl_27,type,
greater: ( $i * $i ) > $o ).
tff(decl_28,type,
resources: ( $i * $i ) > $i ).
tff(decl_29,type,
disbanding_rate: ( $i * $i ) > $i ).
tff(decl_30,type,
difference: ( $i * $i ) > $i ).
tff(decl_31,type,
increases: $i > $o ).
tff(decl_32,type,
efficient_producers: $i ).
tff(decl_33,type,
first_movers: $i ).
tff(decl_34,type,
sk1: $i ).
tff(decl_35,type,
sk2: $i ).
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 v8.1.2. Released v2.4.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.13/0.34 % Computer : n029.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Aug 28 06:24:26 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.54 start to proof: theBenchmark
% 0.19/0.55 % Version : CSE_E---1.5
% 0.19/0.55 % Problem : theBenchmark.p
% 0.19/0.55 % Proof found
% 0.19/0.55 % SZS status Theorem for theBenchmark.p
% 0.19/0.55 % SZS output start Proof
% See solution above
% 0.19/0.56 % Total time : 0.004000 s
% 0.19/0.56 % SZS output end Proof
% 0.19/0.56 % Total time : 0.007000 s
%------------------------------------------------------------------------------