TSTP Solution File: MGT048+1 by Beagle---0.9.51
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : MGT048+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 : n019.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 10:49:43 EDT 2023
% Result : Theorem 20.07s 9.14s
% Output : CNFRefutation 20.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 17
% Syntax : Number of formulae : 31 ( 7 unt; 12 typ; 0 def)
% Number of atoms : 48 ( 7 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 46 ( 17 ~; 14 |; 7 &)
% ( 1 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 17 ( 9 >; 8 *; 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 : 34 (; 34 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ smaller_or_equal > smaller > greater_or_equal > greater > organization > stock_of_knowledge > internal_friction > capability > age > #nlpp > #skF_2 > #skF_3 > #skF_1
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(greater,type,
greater: ( $i * $i ) > $o ).
tff(organization,type,
organization: $i > $o ).
tff(internal_friction,type,
internal_friction: ( $i * $i ) > $i ).
tff(smaller,type,
smaller: ( $i * $i ) > $o ).
tff('#skF_2',type,
'#skF_2': $i ).
tff('#skF_3',type,
'#skF_3': $i ).
tff(capability,type,
capability: ( $i * $i ) > $i ).
tff('#skF_1',type,
'#skF_1': $i ).
tff(stock_of_knowledge,type,
stock_of_knowledge: ( $i * $i ) > $i ).
tff(age,type,
age: ( $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_172,negated_conjecture,
~ ! [X,T0,T] :
( ( organization(X)
& greater(age(X,T),age(X,T0)) )
=> smaller(capability(X,T),capability(X,T0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lemma_5) ).
tff(f_158,axiom,
! [X,T0,T] :
( ( organization(X)
& greater(age(X,T),age(X,T0)) )
=> greater(internal_friction(X,T),internal_friction(X,T0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_12) ).
tff(f_58,axiom,
! [X,Y] :
( smaller_or_equal(X,Y)
<=> ( smaller(X,Y)
| ( X = Y ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/MGT001+0.ax',definition_smaller_or_equal) ).
tff(f_150,axiom,
! [X,T0,T] :
( organization(X)
=> ( stock_of_knowledge(X,T) = stock_of_knowledge(X,T0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_10) ).
tff(f_142,axiom,
! [X,T0,T] :
( organization(X)
=> ( ( ( greater(stock_of_knowledge(X,T),stock_of_knowledge(X,T0))
& smaller_or_equal(internal_friction(X,T),internal_friction(X,T0)) )
=> greater(capability(X,T),capability(X,T0)) )
& ( ( smaller_or_equal(stock_of_knowledge(X,T),stock_of_knowledge(X,T0))
& greater(internal_friction(X,T),internal_friction(X,T0)) )
=> smaller(capability(X,T),capability(X,T0)) )
& ( ( ( stock_of_knowledge(X,T) = stock_of_knowledge(X,T0) )
& ( internal_friction(X,T) = internal_friction(X,T0) ) )
=> ( capability(X,T) = capability(X,T0) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_5) ).
tff(c_38,plain,
organization('#skF_1'),
inference(cnfTransformation,[status(thm)],[f_172]) ).
tff(c_36,plain,
greater(age('#skF_1','#skF_3'),age('#skF_1','#skF_2')),
inference(cnfTransformation,[status(thm)],[f_172]) ).
tff(c_32,plain,
! [X_20,T_22,T0_21] :
( greater(internal_friction(X_20,T_22),internal_friction(X_20,T0_21))
| ~ greater(age(X_20,T_22),age(X_20,T0_21))
| ~ organization(X_20) ),
inference(cnfTransformation,[status(thm)],[f_158]) ).
tff(c_4,plain,
! [Y_2] : smaller_or_equal(Y_2,Y_2),
inference(cnfTransformation,[status(thm)],[f_58]) ).
tff(c_86,plain,
! [X_41,T_42,T0_43] :
( ( stock_of_knowledge(X_41,T_42) = stock_of_knowledge(X_41,T0_43) )
| ~ organization(X_41) ),
inference(cnfTransformation,[status(thm)],[f_150]) ).
tff(c_89,plain,
! [T_42,T0_43] : ( stock_of_knowledge('#skF_1',T_42) = stock_of_knowledge('#skF_1',T0_43) ),
inference(resolution,[status(thm)],[c_38,c_86]) ).
tff(c_88177,plain,
! [X_23462,T_23463,T0_23464] :
( smaller(capability(X_23462,T_23463),capability(X_23462,T0_23464))
| ~ greater(internal_friction(X_23462,T_23463),internal_friction(X_23462,T0_23464))
| ~ smaller_or_equal(stock_of_knowledge(X_23462,T_23463),stock_of_knowledge(X_23462,T0_23464))
| ~ organization(X_23462) ),
inference(cnfTransformation,[status(thm)],[f_142]) ).
tff(c_88186,plain,
! [T_42,T0_23464,T0_43] :
( smaller(capability('#skF_1',T_42),capability('#skF_1',T0_23464))
| ~ greater(internal_friction('#skF_1',T_42),internal_friction('#skF_1',T0_23464))
| ~ smaller_or_equal(stock_of_knowledge('#skF_1',T0_43),stock_of_knowledge('#skF_1',T0_23464))
| ~ organization('#skF_1') ),
inference(superposition,[status(thm),theory(equality)],[c_89,c_88177]) ).
tff(c_129231,plain,
! [T_33764,T0_33765,T0_33766] :
( smaller(capability('#skF_1',T_33764),capability('#skF_1',T0_33765))
| ~ greater(internal_friction('#skF_1',T_33764),internal_friction('#skF_1',T0_33765))
| ~ smaller_or_equal(stock_of_knowledge('#skF_1',T0_33766),stock_of_knowledge('#skF_1',T0_33765)) ),
inference(demodulation,[status(thm),theory(equality)],[c_38,c_88186]) ).
tff(c_129556,plain,
! [T_33847,T0_33848] :
( smaller(capability('#skF_1',T_33847),capability('#skF_1',T0_33848))
| ~ greater(internal_friction('#skF_1',T_33847),internal_friction('#skF_1',T0_33848)) ),
inference(resolution,[status(thm)],[c_4,c_129231]) ).
tff(c_34,plain,
~ smaller(capability('#skF_1','#skF_3'),capability('#skF_1','#skF_2')),
inference(cnfTransformation,[status(thm)],[f_172]) ).
tff(c_130103,plain,
~ greater(internal_friction('#skF_1','#skF_3'),internal_friction('#skF_1','#skF_2')),
inference(resolution,[status(thm)],[c_129556,c_34]) ).
tff(c_130241,plain,
( ~ greater(age('#skF_1','#skF_3'),age('#skF_1','#skF_2'))
| ~ organization('#skF_1') ),
inference(resolution,[status(thm)],[c_32,c_130103]) ).
tff(c_130274,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_38,c_36,c_130241]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : MGT048+1 : TPTP v8.1.2. Released v2.4.0.
% 0.00/0.15 % 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
% 0.14/0.36 % Computer : n019.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Thu Aug 3 20:32:16 EDT 2023
% 0.14/0.36 % CPUTime :
% 20.07/9.14 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 20.07/9.14
% 20.07/9.14 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 20.07/9.16
% 20.07/9.16 Inference rules
% 20.07/9.16 ----------------------
% 20.07/9.16 #Ref : 5
% 20.07/9.16 #Sup : 13903
% 20.07/9.16 #Fact : 394
% 20.07/9.16 #Define : 0
% 20.07/9.16 #Split : 13
% 20.07/9.16 #Chain : 0
% 20.07/9.16 #Close : 0
% 20.07/9.16
% 20.07/9.16 Ordering : KBO
% 20.07/9.16
% 20.07/9.16 Simplification rules
% 20.07/9.16 ----------------------
% 20.07/9.16 #Subsume : 3258
% 20.07/9.17 #Demod : 1222
% 20.07/9.17 #Tautology : 457
% 20.07/9.17 #SimpNegUnit : 1058
% 20.07/9.17 #BackRed : 44
% 20.07/9.17
% 20.07/9.17 #Partial instantiations: 29148
% 20.07/9.17 #Strategies tried : 1
% 20.07/9.17
% 20.07/9.17 Timing (in seconds)
% 20.07/9.17 ----------------------
% 20.07/9.17 Preprocessing : 0.50
% 20.07/9.17 Parsing : 0.24
% 20.07/9.17 CNF conversion : 0.03
% 20.07/9.17 Main loop : 7.62
% 20.07/9.17 Inferencing : 1.75
% 20.07/9.17 Reduction : 1.22
% 20.07/9.17 Demodulation : 0.74
% 20.07/9.17 BG Simplification : 0.17
% 20.07/9.17 Subsumption : 4.17
% 20.07/9.17 Abstraction : 0.22
% 20.07/9.17 MUC search : 0.00
% 20.07/9.17 Cooper : 0.00
% 20.07/9.17 Total : 8.16
% 20.07/9.17 Index Insertion : 0.00
% 20.07/9.17 Index Deletion : 0.00
% 20.07/9.17 Index Matching : 0.00
% 20.07/9.17 BG Taut test : 0.00
%------------------------------------------------------------------------------