%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : MGT048-1 : 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/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% Computer : n008.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 26.62s 10.28s
% Output : CNFRefutation 26.74s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 7
% Syntax : Number of formulae : 21 ( 10 unt; 0 typ; 0 def)
% Number of atoms : 41 ( 4 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 44 ( 24 ~; 20 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 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 : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 31 ( 31 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ smaller_or_equal > smaller > greater_or_equal > greater > organization > stock_of_knowledge > internal_friction > capability > age > #nlpp > sk3 > sk2 > sk1
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(greater,type,
greater: ( $i * $i ) > $o ).
tff(sk2,type,
sk2: $i ).
tff(organization,type,
organization: $i > $o ).
tff(sk1,type,
sk1: $i ).
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(sk3,type,
sk3: $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_159,axiom,
organization(sk1),
file(unknown,unknown) ).
tff(f_160,axiom,
greater(age(sk1,sk3),age(sk1,sk2)),
file(unknown,unknown) ).
tff(f_158,axiom,
! [A,B,C] :
( ~ organization(A)
| ~ greater(age(A,B),age(A,C))
| greater(internal_friction(A,B),internal_friction(A,C)) ),
file(unknown,unknown) ).
tff(f_63,axiom,
! [A,B] :
( ( A != B )
| smaller_or_equal(A,B) ),
file(unknown,unknown) ).
tff(f_150,axiom,
! [A,B,C] :
( ~ organization(A)
| ( stock_of_knowledge(A,B) = stock_of_knowledge(A,C) ) ),
file(unknown,unknown) ).
tff(f_134,axiom,
! [A,B,C] :
( ~ organization(A)
| ~ smaller_or_equal(stock_of_knowledge(A,B),stock_of_knowledge(A,C))
| ~ greater(internal_friction(A,B),internal_friction(A,C))
| smaller(capability(A,B),capability(A,C)) ),
file(unknown,unknown) ).
tff(f_162,axiom,
~ smaller(capability(sk1,sk3),capability(sk1,sk2)),
file(unknown,unknown) ).
tff(c_34,plain,
organization(sk1),
inference(cnfTransformation,[status(thm)],[f_159]) ).
tff(c_36,plain,
greater(age(sk1,sk3),age(sk1,sk2)),
inference(cnfTransformation,[status(thm)],[f_160]) ).
tff(c_32,plain,
! [A_36,B_37,C_38] :
( greater(internal_friction(A_36,B_37),internal_friction(A_36,C_38))
| ~ greater(age(A_36,B_37),age(A_36,C_38))
| ~ organization(A_36) ),
inference(cnfTransformation,[status(thm)],[f_158]) ).
tff(c_6,plain,
! [B_6] : smaller_or_equal(B_6,B_6),
inference(cnfTransformation,[status(thm)],[f_63]) ).
tff(c_86,plain,
! [A_57,C_58,B_59] :
( ( stock_of_knowledge(A_57,C_58) = stock_of_knowledge(A_57,B_59) )
| ~ organization(A_57) ),
inference(cnfTransformation,[status(thm)],[f_150]) ).
tff(c_89,plain,
! [C_58,B_59] : ( stock_of_knowledge(sk1,C_58) = stock_of_knowledge(sk1,B_59) ),
inference(resolution,[status(thm)],[c_34,c_86]) ).
tff(c_27252,plain,
! [A_8529,B_8530,C_8531] :
( smaller(capability(A_8529,B_8530),capability(A_8529,C_8531))
| ~ greater(internal_friction(A_8529,B_8530),internal_friction(A_8529,C_8531))
| ~ smaller_or_equal(stock_of_knowledge(A_8529,B_8530),stock_of_knowledge(A_8529,C_8531))
| ~ organization(A_8529) ),
inference(cnfTransformation,[status(thm)],[f_134]) ).
tff(c_27255,plain,
! [B_59,C_8531,C_58] :
( smaller(capability(sk1,B_59),capability(sk1,C_8531))
| ~ greater(internal_friction(sk1,B_59),internal_friction(sk1,C_8531))
| ~ smaller_or_equal(stock_of_knowledge(sk1,C_58),stock_of_knowledge(sk1,C_8531))
| ~ organization(sk1) ),
inference(superposition,[status(thm),theory(equality)],[c_89,c_27252]) ).
tff(c_57918,plain,
! [B_16786,C_16787,C_16788] :
( smaller(capability(sk1,B_16786),capability(sk1,C_16787))
| ~ greater(internal_friction(sk1,B_16786),internal_friction(sk1,C_16787))
| ~ smaller_or_equal(stock_of_knowledge(sk1,C_16788),stock_of_knowledge(sk1,C_16787)) ),
inference(demodulation,[status(thm),theory(equality)],[c_34,c_27255]) ).
tff(c_58243,plain,
! [B_16869,C_16870] :
( smaller(capability(sk1,B_16869),capability(sk1,C_16870))
| ~ greater(internal_friction(sk1,B_16869),internal_friction(sk1,C_16870)) ),
inference(resolution,[status(thm)],[c_6,c_57918]) ).
tff(c_38,plain,
~ smaller(capability(sk1,sk3),capability(sk1,sk2)),
inference(cnfTransformation,[status(thm)],[f_162]) ).
tff(c_58790,plain,
~ greater(internal_friction(sk1,sk3),internal_friction(sk1,sk2)),
inference(resolution,[status(thm)],[c_58243,c_38]) ).
tff(c_58935,plain,
( ~ greater(age(sk1,sk3),age(sk1,sk2))
| ~ organization(sk1) ),
inference(resolution,[status(thm)],[c_32,c_58790]) ).
tff(c_58975,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_34,c_36,c_58935]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT048-1 : TPTP v9.3.0. Released v2.4.0.
% 0.00/0.05 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.11/0.37 % Computer : n008.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Mon Sep 7 13:16:23 UTC 2026
% 0.11/0.38 % CPUTime :
% 26.62/10.28 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 26.62/10.29
% 26.62/10.29 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------