TSTP Solution File: MGT032-2 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : MGT032-2 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% Computer : n011.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 09:07:48 EDT 2023
% Result : Unsatisfiable 0.20s 0.59s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 21
% Syntax : Number of formulae : 34 ( 6 unt; 13 typ; 0 def)
% Number of atoms : 57 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 77 ( 41 ~; 36 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 19 ( 10 >; 9 *; 0 +; 0 <<)
% Number of predicates : 8 ( 7 usr; 1 prp; 0-4 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 24 ( 0 sgn; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
environment: $i > $o ).
tff(decl_23,type,
subpopulations: ( $i * $i * $i * $i ) > $o ).
tff(decl_24,type,
growth_rate: ( $i * $i ) > $i ).
tff(decl_25,type,
greater: ( $i * $i ) > $o ).
tff(decl_26,type,
selection_favors: ( $i * $i * $i ) > $o ).
tff(decl_27,type,
stable: $i > $o ).
tff(decl_28,type,
sk1: $i > $i ).
tff(decl_29,type,
in_environment: ( $i * $i ) > $o ).
tff(decl_30,type,
first_movers: $i ).
tff(decl_31,type,
efficient_producers: $i ).
tff(decl_32,type,
greater_or_equal: ( $i * $i ) > $o ).
tff(decl_33,type,
sk2: $i ).
tff(decl_34,type,
sk3: $i > $i ).
cnf(l1_3,hypothesis,
( greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2))
| ~ environment(X1)
| ~ stable(X1)
| ~ subpopulations(first_movers,efficient_producers,X1,X2)
| ~ greater_or_equal(X2,sk1(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l1_3) ).
cnf(prove_t1_7,negated_conjecture,
( greater_or_equal(sk3(X1),X1)
| ~ in_environment(sk2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_t1_7) ).
cnf(mp1_high_growth_rates_1,axiom,
( selection_favors(X3,X2,X4)
| ~ environment(X1)
| ~ subpopulations(X2,X3,X1,X4)
| ~ greater(growth_rate(X3,X4),growth_rate(X2,X4)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp1_high_growth_rates_1) ).
cnf(prove_t1_8,negated_conjecture,
( ~ in_environment(sk2,X1)
| ~ selection_favors(efficient_producers,first_movers,sk3(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_t1_8) ).
cnf(prove_t1_6,negated_conjecture,
( subpopulations(first_movers,efficient_producers,sk2,sk3(X1))
| ~ in_environment(sk2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_t1_6) ).
cnf(prove_t1_4,negated_conjecture,
environment(sk2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_t1_4) ).
cnf(prove_t1_5,negated_conjecture,
stable(sk2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_t1_5) ).
cnf(l1_2,hypothesis,
( in_environment(X1,sk1(X1))
| ~ environment(X1)
| ~ stable(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l1_2) ).
cnf(c_0_8,hypothesis,
( greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2))
| ~ environment(X1)
| ~ stable(X1)
| ~ subpopulations(first_movers,efficient_producers,X1,X2)
| ~ greater_or_equal(X2,sk1(X1)) ),
l1_3 ).
cnf(c_0_9,negated_conjecture,
( greater_or_equal(sk3(X1),X1)
| ~ in_environment(sk2,X1) ),
prove_t1_7 ).
cnf(c_0_10,axiom,
( selection_favors(X3,X2,X4)
| ~ environment(X1)
| ~ subpopulations(X2,X3,X1,X4)
| ~ greater(growth_rate(X3,X4),growth_rate(X2,X4)) ),
mp1_high_growth_rates_1 ).
cnf(c_0_11,negated_conjecture,
( greater(growth_rate(efficient_producers,sk3(sk1(X1))),growth_rate(first_movers,sk3(sk1(X1))))
| ~ in_environment(sk2,sk1(X1))
| ~ stable(X1)
| ~ subpopulations(first_movers,efficient_producers,X1,sk3(sk1(X1)))
| ~ environment(X1) ),
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_12,negated_conjecture,
( ~ in_environment(sk2,X1)
| ~ selection_favors(efficient_producers,first_movers,sk3(X1)) ),
prove_t1_8 ).
cnf(c_0_13,negated_conjecture,
( ~ in_environment(sk2,sk1(X1))
| ~ stable(X1)
| ~ subpopulations(first_movers,efficient_producers,X2,sk3(sk1(X1)))
| ~ subpopulations(first_movers,efficient_producers,X1,sk3(sk1(X1)))
| ~ environment(X2)
| ~ environment(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_11]),c_0_12]) ).
cnf(c_0_14,negated_conjecture,
( subpopulations(first_movers,efficient_producers,sk2,sk3(X1))
| ~ in_environment(sk2,X1) ),
prove_t1_6 ).
cnf(c_0_15,negated_conjecture,
environment(sk2),
prove_t1_4 ).
cnf(c_0_16,negated_conjecture,
( ~ in_environment(sk2,sk1(X1))
| ~ stable(X1)
| ~ subpopulations(first_movers,efficient_producers,X1,sk3(sk1(X1)))
| ~ environment(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_14]),c_0_15])]) ).
cnf(c_0_17,negated_conjecture,
stable(sk2),
prove_t1_5 ).
cnf(c_0_18,negated_conjecture,
~ in_environment(sk2,sk1(sk2)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_14]),c_0_17]),c_0_15])]) ).
cnf(c_0_19,hypothesis,
( in_environment(X1,sk1(X1))
| ~ environment(X1)
| ~ stable(X1) ),
l1_2 ).
cnf(c_0_20,hypothesis,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_19]),c_0_17]),c_0_15])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : MGT032-2 : TPTP v8.1.2. Released v2.4.0.
% 0.12/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.13/0.34 % Computer : n011.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
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon Aug 28 06:19:25 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.58 start to proof: theBenchmark
% 0.20/0.59 % Version : CSE_E---1.5
% 0.20/0.59 % Problem : theBenchmark.p
% 0.20/0.59 % Proof found
% 0.20/0.59 % SZS status Theorem for theBenchmark.p
% 0.20/0.59 % SZS output start Proof
% See solution above
% 0.20/0.59 % Total time : 0.004000 s
% 0.20/0.59 % SZS output end Proof
% 0.20/0.59 % Total time : 0.007000 s
%------------------------------------------------------------------------------