%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : MGT046-1 : TPTP v9.3.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% Computer : n031.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 8 06:03:00 AM UTC 2026
% Result : Unsatisfiable 86.42s 62.96s
% Output : CNFRefutation 86.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 13
% Syntax : Number of formulae : 53 ( 23 unt; 0 typ; 0 def)
% Number of atoms : 113 ( 4 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 123 ( 63 ~; 60 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 3 con; 0-2 aty)
% Number of variables : 61 ( 61 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ smaller_or_equal > smaller > has_immunity > greater_or_equal > greater > organization > has_endowment > stock_of_knowledge > position > internal_friction > hazard_of_mortality > external_ties > capability > age > #nlpp > sk3 > sk2 > sk1
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(hazard_of_mortality,type,
hazard_of_mortality: ( $i * $i ) > $i ).
tff(greater,type,
greater: ( $i * $i ) > $o ).
tff(sk2,type,
sk2: $i ).
tff(organization,type,
organization: $i > $o ).
tff(sk1,type,
sk1: $i ).
tff(position,type,
position: ( $i * $i ) > $i ).
tff(has_endowment,type,
has_endowment: $i > $o ).
tff(internal_friction,type,
internal_friction: ( $i * $i ) > $i ).
tff(smaller,type,
smaller: ( $i * $i ) > $o ).
tff(capability,type,
capability: ( $i * $i ) > $i ).
tff(stock_of_knowledge,type,
stock_of_knowledge: ( $i * $i ) > $i ).
tff(age,type,
age: ( $i * $i ) > $i ).
tff(has_immunity,type,
has_immunity: ( $i * $i ) > $o ).
tff(sk3,type,
sk3: $i ).
tff(external_ties,type,
external_ties: ( $i * $i ) > $i ).
tff(greater_or_equal,type,
greater_or_equal: ( $i * $i ) > $o ).
tff(smaller_or_equal,type,
smaller_or_equal: ( $i * $i ) > $o ).
tff(f_239,axiom,
~ has_endowment(sk1),
file(unknown,unknown) ).
tff(f_237,axiom,
organization(sk1),
file(unknown,unknown) ).
tff(f_240,axiom,
greater(age(sk1,sk3),age(sk1,sk2)),
file(unknown,unknown) ).
tff(f_231,axiom,
! [A,B,C] :
( ~ organization(A)
| ~ greater(age(A,B),age(A,C))
| greater(external_ties(A,B),external_ties(A,C)) ),
file(unknown,unknown) ).
tff(f_207,axiom,
! [A,B,C] :
( ~ organization(A)
| ~ greater(external_ties(A,B),external_ties(A,C))
| greater(position(A,B),position(A,C)) ),
file(unknown,unknown) ).
tff(f_76,axiom,
! [A,B] :
( ~ greater(A,B)
| greater_or_equal(A,B) ),
file(unknown,unknown) ).
tff(f_223,axiom,
! [A,B,C] :
( ~ organization(A)
| ~ greater(age(A,B),age(A,C))
| greater(stock_of_knowledge(A,B),stock_of_knowledge(A,C)) ),
file(unknown,unknown) ).
tff(f_64,axiom,
! [A,B] :
( ( A != B )
| smaller_or_equal(A,B) ),
file(unknown,unknown) ).
tff(f_236,axiom,
! [A,B,C] :
( ~ organization(A)
| ( internal_friction(A,B) = internal_friction(A,C) ) ),
file(unknown,unknown) ).
tff(f_177,axiom,
! [A,B,C] :
( ~ organization(A)
| ~ greater(stock_of_knowledge(A,B),stock_of_knowledge(A,C))
| ~ smaller_or_equal(internal_friction(A,B),internal_friction(A,C))
| greater(capability(A,B),capability(A,C)) ),
file(unknown,unknown) ).
tff(f_136,axiom,
! [A,B,C] :
( ~ organization(A)
| has_immunity(A,B)
| has_immunity(A,C)
| ~ greater(capability(A,C),capability(A,B))
| ~ greater_or_equal(position(A,C),position(A,B))
| smaller(hazard_of_mortality(A,C),hazard_of_mortality(A,B)) ),
file(unknown,unknown) ).
tff(f_242,axiom,
~ smaller(hazard_of_mortality(sk1,sk3),hazard_of_mortality(sk1,sk2)),
file(unknown,unknown) ).
tff(f_121,axiom,
! [A,B] :
( ~ organization(A)
| has_endowment(A)
| ~ has_immunity(A,B) ),
file(unknown,unknown) ).
tff(c_50,plain,
~ has_endowment(sk1),
inference(cnfTransformation,[status(thm)],[f_239]) ).
tff(c_48,plain,
organization(sk1),
inference(cnfTransformation,[status(thm)],[f_237]) ).
tff(c_52,plain,
greater(age(sk1,sk3),age(sk1,sk2)),
inference(cnfTransformation,[status(thm)],[f_240]) ).
tff(c_44,plain,
! [A_53,B_54,C_55] :
( greater(external_ties(A_53,B_54),external_ties(A_53,C_55))
| ~ greater(age(A_53,B_54),age(A_53,C_55))
| ~ organization(A_53) ),
inference(cnfTransformation,[status(thm)],[f_231]) ).
tff(c_38,plain,
! [A_44,B_45,C_46] :
( greater(position(A_44,B_45),position(A_44,C_46))
| ~ greater(external_ties(A_44,B_45),external_ties(A_44,C_46))
| ~ organization(A_44) ),
inference(cnfTransformation,[status(thm)],[f_207]) ).
tff(c_10,plain,
! [A_9,B_10] :
( greater_or_equal(A_9,B_10)
| ~ greater(A_9,B_10) ),
inference(cnfTransformation,[status(thm)],[f_76]) ).
tff(c_42,plain,
! [A_50,B_51,C_52] :
( greater(stock_of_knowledge(A_50,B_51),stock_of_knowledge(A_50,C_52))
| ~ greater(age(A_50,B_51),age(A_50,C_52))
| ~ organization(A_50) ),
inference(cnfTransformation,[status(thm)],[f_223]) ).
tff(c_6,plain,
! [B_6] : smaller_or_equal(B_6,B_6),
inference(cnfTransformation,[status(thm)],[f_64]) ).
tff(c_103,plain,
! [A_79,C_80,B_81] :
( ( internal_friction(A_79,C_80) = internal_friction(A_79,B_81) )
| ~ organization(A_79) ),
inference(cnfTransformation,[status(thm)],[f_236]) ).
tff(c_106,plain,
! [C_80,B_81] : ( internal_friction(sk1,C_80) = internal_friction(sk1,B_81) ),
inference(resolution,[status(thm)],[c_48,c_103]) ).
tff(c_373732,plain,
! [A_94249,B_94250,C_94251] :
( greater(capability(A_94249,B_94250),capability(A_94249,C_94251))
| ~ smaller_or_equal(internal_friction(A_94249,B_94250),internal_friction(A_94249,C_94251))
| ~ greater(stock_of_knowledge(A_94249,B_94250),stock_of_knowledge(A_94249,C_94251))
| ~ organization(A_94249) ),
inference(cnfTransformation,[status(thm)],[f_177]) ).
tff(c_373735,plain,
! [B_81,C_94251,C_80] :
( greater(capability(sk1,B_81),capability(sk1,C_94251))
| ~ smaller_or_equal(internal_friction(sk1,C_80),internal_friction(sk1,C_94251))
| ~ greater(stock_of_knowledge(sk1,B_81),stock_of_knowledge(sk1,C_94251))
| ~ organization(sk1) ),
inference(superposition,[status(thm),theory(equality)],[c_106,c_373732]) ).
tff(c_473256,plain,
! [B_127153,C_127154,C_127155] :
( greater(capability(sk1,B_127153),capability(sk1,C_127154))
| ~ smaller_or_equal(internal_friction(sk1,C_127155),internal_friction(sk1,C_127154))
| ~ greater(stock_of_knowledge(sk1,B_127153),stock_of_knowledge(sk1,C_127154)) ),
inference(demodulation,[status(thm),theory(equality)],[c_48,c_373735]) ).
tff(c_473666,plain,
! [B_127282,C_127283] :
( greater(capability(sk1,B_127282),capability(sk1,C_127283))
| ~ greater(stock_of_knowledge(sk1,B_127282),stock_of_knowledge(sk1,C_127283)) ),
inference(resolution,[status(thm)],[c_6,c_473256]) ).
tff(c_474149,plain,
! [B_51,C_52] :
( greater(capability(sk1,B_51),capability(sk1,C_52))
| ~ greater(age(sk1,B_51),age(sk1,C_52))
| ~ organization(sk1) ),
inference(resolution,[status(thm)],[c_42,c_473666]) ).
tff(c_474202,plain,
! [B_127410,C_127411] :
( greater(capability(sk1,B_127410),capability(sk1,C_127411))
| ~ greater(age(sk1,B_127410),age(sk1,C_127411)) ),
inference(demodulation,[status(thm),theory(equality)],[c_48,c_474149]) ).
tff(c_374103,plain,
! [A_94285,C_94286,B_94287] :
( smaller(hazard_of_mortality(A_94285,C_94286),hazard_of_mortality(A_94285,B_94287))
| ~ greater_or_equal(position(A_94285,C_94286),position(A_94285,B_94287))
| ~ greater(capability(A_94285,C_94286),capability(A_94285,B_94287))
| has_immunity(A_94285,C_94286)
| has_immunity(A_94285,B_94287)
| ~ organization(A_94285) ),
inference(cnfTransformation,[status(thm)],[f_136]) ).
tff(c_54,plain,
~ smaller(hazard_of_mortality(sk1,sk3),hazard_of_mortality(sk1,sk2)),
inference(cnfTransformation,[status(thm)],[f_242]) ).
tff(c_374106,plain,
( ~ greater_or_equal(position(sk1,sk3),position(sk1,sk2))
| ~ greater(capability(sk1,sk3),capability(sk1,sk2))
| has_immunity(sk1,sk3)
| has_immunity(sk1,sk2)
| ~ organization(sk1) ),
inference(resolution,[status(thm)],[c_374103,c_54]) ).
tff(c_374112,plain,
( ~ greater_or_equal(position(sk1,sk3),position(sk1,sk2))
| ~ greater(capability(sk1,sk3),capability(sk1,sk2))
| has_immunity(sk1,sk3)
| has_immunity(sk1,sk2) ),
inference(demodulation,[status(thm),theory(equality)],[c_48,c_374106]) ).
tff(c_375230,plain,
~ greater(capability(sk1,sk3),capability(sk1,sk2)),
inference(splitLeft,[status(thm)],[c_374112]) ).
tff(c_474279,plain,
~ greater(age(sk1,sk3),age(sk1,sk2)),
inference(resolution,[status(thm)],[c_474202,c_375230]) ).
tff(c_475158,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_52,c_474279]) ).
tff(c_475159,plain,
( ~ greater_or_equal(position(sk1,sk3),position(sk1,sk2))
| has_immunity(sk1,sk2)
| has_immunity(sk1,sk3) ),
inference(splitRight,[status(thm)],[c_374112]) ).
tff(c_475275,plain,
~ greater_or_equal(position(sk1,sk3),position(sk1,sk2)),
inference(splitLeft,[status(thm)],[c_475159]) ).
tff(c_475291,plain,
~ greater(position(sk1,sk3),position(sk1,sk2)),
inference(resolution,[status(thm)],[c_10,c_475275]) ).
tff(c_475294,plain,
( ~ greater(external_ties(sk1,sk3),external_ties(sk1,sk2))
| ~ organization(sk1) ),
inference(resolution,[status(thm)],[c_38,c_475291]) ).
tff(c_475324,plain,
~ greater(external_ties(sk1,sk3),external_ties(sk1,sk2)),
inference(demodulation,[status(thm),theory(equality)],[c_48,c_475294]) ).
tff(c_475332,plain,
( ~ greater(age(sk1,sk3),age(sk1,sk2))
| ~ organization(sk1) ),
inference(resolution,[status(thm)],[c_44,c_475324]) ).
tff(c_475351,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_48,c_52,c_475332]) ).
tff(c_475352,plain,
( has_immunity(sk1,sk3)
| has_immunity(sk1,sk2) ),
inference(splitRight,[status(thm)],[c_475159]) ).
tff(c_475354,plain,
has_immunity(sk1,sk2),
inference(splitLeft,[status(thm)],[c_475352]) ).
tff(c_24,plain,
! [A_24,B_25] :
( ~ has_immunity(A_24,B_25)
| has_endowment(A_24)
| ~ organization(A_24) ),
inference(cnfTransformation,[status(thm)],[f_121]) ).
tff(c_475357,plain,
( has_endowment(sk1)
| ~ organization(sk1) ),
inference(resolution,[status(thm)],[c_475354,c_24]) ).
tff(c_475360,plain,
has_endowment(sk1),
inference(demodulation,[status(thm),theory(equality)],[c_48,c_475357]) ).
tff(c_475362,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_50,c_475360]) ).
tff(c_475363,plain,
has_immunity(sk1,sk3),
inference(splitRight,[status(thm)],[c_475352]) ).
tff(c_475367,plain,
( has_endowment(sk1)
| ~ organization(sk1) ),
inference(resolution,[status(thm)],[c_475363,c_24]) ).
tff(c_475370,plain,
has_endowment(sk1),
inference(demodulation,[status(thm),theory(equality)],[c_48,c_475367]) ).
tff(c_475372,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_50,c_475370]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : MGT046-1 : TPTP v9.3.0. Released v2.4.0.
% 0.00/0.04 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.08/0.35 % Computer : n031.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Mon Sep 7 13:13:56 UTC 2026
% 0.08/0.35 % CPUTime :
% 86.42/62.96 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 86.42/62.97
% 86.42/62.97 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------