TSTP Solution File: MGT057-1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : MGT057-1 : TPTP v8.1.2. 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 : n032.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 Aug 22 10:49:45 EDT 2023
% Result : Unsatisfiable 3.81s 2.01s
% Output : CNFRefutation 3.81s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 29
% Syntax : Number of formulae : 67 ( 27 unt; 16 typ; 0 def)
% Number of atoms : 93 ( 14 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 94 ( 52 ~; 42 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 17 ( 10 >; 7 *; 0 +; 0 <<)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-2 aty)
% Number of variables : 35 (; 35 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ smaller_or_equal > smaller > has_immunity > greater_or_equal > greater > organization > has_endowment > hazard_of_mortality > age > #nlpp > sk1 > zero > sk5 > sk4 > sk3 > sk2 > eta
%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(sk1,type,
sk1: $i > $i ).
tff(sk2,type,
sk2: $i ).
tff(organization,type,
organization: $i > $o ).
tff(has_endowment,type,
has_endowment: $i > $o ).
tff(eta,type,
eta: $i ).
tff(smaller,type,
smaller: ( $i * $i ) > $o ).
tff(sk4,type,
sk4: $i ).
tff(sk5,type,
sk5: $i ).
tff(age,type,
age: ( $i * $i ) > $i ).
tff(has_immunity,type,
has_immunity: ( $i * $i ) > $o ).
tff(sk3,type,
sk3: $i ).
tff(greater_or_equal,type,
greater_or_equal: ( $i * $i ) > $o ).
tff(zero,type,
zero: $i ).
tff(smaller_or_equal,type,
smaller_or_equal: ( $i * $i ) > $o ).
tff(f_197,axiom,
has_endowment(sk2),
file(unknown,unknown) ).
tff(f_200,axiom,
greater(age(sk2,sk5),eta),
file(unknown,unknown) ).
tff(f_136,axiom,
! [A,B] :
( ~ has_endowment(A)
| ~ greater(age(A,B),eta)
| ~ has_immunity(A,B) ),
file(unknown,unknown) ).
tff(f_196,axiom,
organization(sk2),
file(unknown,unknown) ).
tff(f_201,axiom,
greater(eta,zero),
file(unknown,unknown) ).
tff(f_92,axiom,
! [A,B] :
( ~ greater(A,B)
| smaller(B,A) ),
file(unknown,unknown) ).
tff(f_60,axiom,
! [A,B] :
( ~ smaller(A,B)
| smaller_or_equal(A,B) ),
file(unknown,unknown) ).
tff(f_198,axiom,
age(sk2,sk3) = zero,
file(unknown,unknown) ).
tff(f_127,axiom,
! [A,B] :
( ~ has_endowment(A)
| ~ smaller_or_equal(age(A,B),eta)
| has_immunity(A,B) ),
file(unknown,unknown) ).
tff(f_195,axiom,
! [A,B,C] :
( ~ organization(A)
| ~ has_immunity(A,B)
| has_immunity(A,C)
| greater(hazard_of_mortality(A,C),hazard_of_mortality(A,B)) ),
file(unknown,unknown) ).
tff(f_199,axiom,
smaller_or_equal(age(sk2,sk4),eta),
file(unknown,unknown) ).
tff(f_185,axiom,
! [A,B,C] :
( ~ organization(A)
| ~ has_immunity(A,B)
| ~ has_immunity(A,C)
| ( hazard_of_mortality(A,B) = hazard_of_mortality(A,C) ) ),
file(unknown,unknown) ).
tff(f_206,axiom,
( ~ greater(hazard_of_mortality(sk2,sk5),hazard_of_mortality(sk2,sk4))
| ( hazard_of_mortality(sk2,sk4) != hazard_of_mortality(sk2,sk3) ) ),
file(unknown,unknown) ).
tff(c_44,plain,
has_endowment(sk2),
inference(cnfTransformation,[status(thm)],[f_197]) ).
tff(c_50,plain,
greater(age(sk2,sk5),eta),
inference(cnfTransformation,[status(thm)],[f_200]) ).
tff(c_186,plain,
! [A_66,B_67] :
( ~ has_immunity(A_66,B_67)
| ~ greater(age(A_66,B_67),eta)
| ~ has_endowment(A_66) ),
inference(cnfTransformation,[status(thm)],[f_136]) ).
tff(c_195,plain,
( ~ has_immunity(sk2,sk5)
| ~ has_endowment(sk2) ),
inference(resolution,[status(thm)],[c_50,c_186]) ).
tff(c_203,plain,
~ has_immunity(sk2,sk5),
inference(demodulation,[status(thm),theory(equality)],[c_44,c_195]) ).
tff(c_42,plain,
organization(sk2),
inference(cnfTransformation,[status(thm)],[f_196]) ).
tff(c_52,plain,
greater(eta,zero),
inference(cnfTransformation,[status(thm)],[f_201]) ).
tff(c_16,plain,
! [B_16,A_15] :
( smaller(B_16,A_15)
| ~ greater(A_15,B_16) ),
inference(cnfTransformation,[status(thm)],[f_92]) ).
tff(c_4,plain,
! [A_3,B_4] :
( smaller_or_equal(A_3,B_4)
| ~ smaller(A_3,B_4) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_46,plain,
age(sk2,sk3) = zero,
inference(cnfTransformation,[status(thm)],[f_198]) ).
tff(c_216,plain,
! [A_68,B_69] :
( has_immunity(A_68,B_69)
| ~ smaller_or_equal(age(A_68,B_69),eta)
| ~ has_endowment(A_68) ),
inference(cnfTransformation,[status(thm)],[f_127]) ).
tff(c_225,plain,
( has_immunity(sk2,sk3)
| ~ smaller_or_equal(zero,eta)
| ~ has_endowment(sk2) ),
inference(superposition,[status(thm),theory(equality)],[c_46,c_216]) ).
tff(c_231,plain,
( has_immunity(sk2,sk3)
| ~ smaller_or_equal(zero,eta) ),
inference(demodulation,[status(thm),theory(equality)],[c_44,c_225]) ).
tff(c_242,plain,
~ smaller_or_equal(zero,eta),
inference(splitLeft,[status(thm)],[c_231]) ).
tff(c_246,plain,
~ smaller(zero,eta),
inference(resolution,[status(thm)],[c_4,c_242]) ).
tff(c_252,plain,
~ greater(eta,zero),
inference(resolution,[status(thm)],[c_16,c_246]) ).
tff(c_259,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_52,c_252]) ).
tff(c_260,plain,
has_immunity(sk2,sk3),
inference(splitRight,[status(thm)],[c_231]) ).
tff(c_439,plain,
! [A_84,C_85,B_86] :
( greater(hazard_of_mortality(A_84,C_85),hazard_of_mortality(A_84,B_86))
| has_immunity(A_84,C_85)
| ~ has_immunity(A_84,B_86)
| ~ organization(A_84) ),
inference(cnfTransformation,[status(thm)],[f_195]) ).
tff(c_48,plain,
smaller_or_equal(age(sk2,sk4),eta),
inference(cnfTransformation,[status(thm)],[f_199]) ).
tff(c_222,plain,
( has_immunity(sk2,sk4)
| ~ has_endowment(sk2) ),
inference(resolution,[status(thm)],[c_48,c_216]) ).
tff(c_229,plain,
has_immunity(sk2,sk4),
inference(demodulation,[status(thm),theory(equality)],[c_44,c_222]) ).
tff(c_351,plain,
! [A_75,C_76,B_77] :
( ( hazard_of_mortality(A_75,C_76) = hazard_of_mortality(A_75,B_77) )
| ~ has_immunity(A_75,C_76)
| ~ has_immunity(A_75,B_77)
| ~ organization(A_75) ),
inference(cnfTransformation,[status(thm)],[f_185]) ).
tff(c_353,plain,
! [B_77] :
( ( hazard_of_mortality(sk2,sk3) = hazard_of_mortality(sk2,B_77) )
| ~ has_immunity(sk2,B_77)
| ~ organization(sk2) ),
inference(resolution,[status(thm)],[c_260,c_351]) ).
tff(c_365,plain,
! [B_78] :
( ( hazard_of_mortality(sk2,sk3) = hazard_of_mortality(sk2,B_78) )
| ~ has_immunity(sk2,B_78) ),
inference(demodulation,[status(thm),theory(equality)],[c_42,c_353]) ).
tff(c_374,plain,
hazard_of_mortality(sk2,sk4) = hazard_of_mortality(sk2,sk3),
inference(resolution,[status(thm)],[c_229,c_365]) ).
tff(c_54,plain,
( ( hazard_of_mortality(sk2,sk4) != hazard_of_mortality(sk2,sk3) )
| ~ greater(hazard_of_mortality(sk2,sk5),hazard_of_mortality(sk2,sk4)) ),
inference(cnfTransformation,[status(thm)],[f_206]) ).
tff(c_262,plain,
~ greater(hazard_of_mortality(sk2,sk5),hazard_of_mortality(sk2,sk4)),
inference(splitLeft,[status(thm)],[c_54]) ).
tff(c_384,plain,
~ greater(hazard_of_mortality(sk2,sk5),hazard_of_mortality(sk2,sk3)),
inference(demodulation,[status(thm),theory(equality)],[c_374,c_262]) ).
tff(c_442,plain,
( has_immunity(sk2,sk5)
| ~ has_immunity(sk2,sk3)
| ~ organization(sk2) ),
inference(resolution,[status(thm)],[c_439,c_384]) ).
tff(c_457,plain,
has_immunity(sk2,sk5),
inference(demodulation,[status(thm),theory(equality)],[c_42,c_260,c_442]) ).
tff(c_459,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_203,c_457]) ).
tff(c_460,plain,
hazard_of_mortality(sk2,sk4) != hazard_of_mortality(sk2,sk3),
inference(splitRight,[status(thm)],[c_54]) ).
tff(c_563,plain,
! [A_93,C_94,B_95] :
( ( hazard_of_mortality(A_93,C_94) = hazard_of_mortality(A_93,B_95) )
| ~ has_immunity(A_93,C_94)
| ~ has_immunity(A_93,B_95)
| ~ organization(A_93) ),
inference(cnfTransformation,[status(thm)],[f_185]) ).
tff(c_565,plain,
! [B_95] :
( ( hazard_of_mortality(sk2,sk3) = hazard_of_mortality(sk2,B_95) )
| ~ has_immunity(sk2,B_95)
| ~ organization(sk2) ),
inference(resolution,[status(thm)],[c_260,c_563]) ).
tff(c_576,plain,
! [B_96] :
( ( hazard_of_mortality(sk2,sk3) = hazard_of_mortality(sk2,B_96) )
| ~ has_immunity(sk2,B_96) ),
inference(demodulation,[status(thm),theory(equality)],[c_42,c_565]) ).
tff(c_582,plain,
hazard_of_mortality(sk2,sk4) = hazard_of_mortality(sk2,sk3),
inference(resolution,[status(thm)],[c_229,c_576]) ).
tff(c_588,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_460,c_582]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : MGT057-1 : TPTP v8.1.2. Released v2.4.0.
% 0.00/0.13 % 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
% 0.13/0.34 % Computer : n032.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 : Thu Aug 3 20:35:06 EDT 2023
% 0.13/0.34 % CPUTime :
% 3.81/2.01 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.81/2.02
% 3.81/2.02 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 3.81/2.05
% 3.81/2.05 Inference rules
% 3.81/2.05 ----------------------
% 3.81/2.05 #Ref : 0
% 3.81/2.05 #Sup : 115
% 3.81/2.05 #Fact : 2
% 3.81/2.05 #Define : 0
% 3.81/2.05 #Split : 7
% 3.81/2.05 #Chain : 0
% 3.81/2.05 #Close : 0
% 3.81/2.05
% 3.81/2.05 Ordering : KBO
% 3.81/2.05
% 3.81/2.05 Simplification rules
% 3.81/2.05 ----------------------
% 3.81/2.05 #Subsume : 24
% 3.81/2.05 #Demod : 35
% 3.81/2.05 #Tautology : 30
% 3.81/2.05 #SimpNegUnit : 3
% 3.81/2.05 #BackRed : 1
% 3.81/2.05
% 3.81/2.05 #Partial instantiations: 0
% 3.81/2.05 #Strategies tried : 1
% 3.81/2.05
% 3.81/2.05 Timing (in seconds)
% 3.81/2.05 ----------------------
% 3.81/2.06 Preprocessing : 0.55
% 3.81/2.06 Parsing : 0.25
% 3.81/2.06 CNF conversion : 0.03
% 3.81/2.06 Main loop : 0.42
% 3.81/2.06 Inferencing : 0.16
% 3.81/2.06 Reduction : 0.11
% 3.81/2.06 Demodulation : 0.08
% 3.81/2.06 BG Simplification : 0.02
% 3.81/2.06 Subsumption : 0.09
% 3.81/2.06 Abstraction : 0.02
% 3.81/2.06 MUC search : 0.00
% 3.81/2.06 Cooper : 0.00
% 3.81/2.06 Total : 1.02
% 3.81/2.06 Index Insertion : 0.00
% 3.81/2.06 Index Deletion : 0.00
% 3.81/2.06 Index Matching : 0.00
% 3.81/2.06 BG Taut test : 0.00
%------------------------------------------------------------------------------