TSTP Solution File: MGT058+1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : MGT058+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/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 : n010.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 : Theorem 4.55s 2.48s
% Output : CNFRefutation 4.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 24
% Syntax : Number of formulae : 86 ( 36 unt; 18 typ; 0 def)
% Number of atoms : 130 ( 13 equ)
% Maximal formula atoms : 6 ( 1 avg)
% Number of connectives : 130 ( 68 ~; 46 |; 6 &)
% ( 5 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 19 ( 13 >; 6 *; 0 +; 0 <<)
% Number of predicates : 10 ( 8 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 5 con; 0-2 aty)
% Number of variables : 37 (; 36 !; 1 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ smaller_or_equal > smaller > positional_advantage > greater_or_equal > greater > robust_position > organization > fragile_position > age > #nlpp > zero > tau > sigma > #skF_2 > #skF_4 > #skF_1 > #skF_5 > #skF_6 > #skF_3
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(greater,type,
greater: ( $i * $i ) > $o ).
tff('#skF_2',type,
'#skF_2': $i > $i ).
tff('#skF_4',type,
'#skF_4': $i > $i ).
tff(organization,type,
organization: $i > $o ).
tff('#skF_1',type,
'#skF_1': $i > $i ).
tff(positional_advantage,type,
positional_advantage: ( $i * $i ) > $o ).
tff('#skF_5',type,
'#skF_5': $i ).
tff(robust_position,type,
robust_position: $i > $o ).
tff(smaller,type,
smaller: ( $i * $i ) > $o ).
tff('#skF_6',type,
'#skF_6': $i ).
tff(fragile_position,type,
fragile_position: $i > $o ).
tff(sigma,type,
sigma: $i ).
tff(age,type,
age: ( $i * $i ) > $i ).
tff('#skF_3',type,
'#skF_3': $i > $i ).
tff(greater_or_equal,type,
greater_or_equal: ( $i * $i ) > $o ).
tff(tau,type,
tau: $i ).
tff(zero,type,
zero: $i ).
tff(smaller_or_equal,type,
smaller_or_equal: ( $i * $i ) > $o ).
tff(f_176,negated_conjecture,
~ ! [X] :
( ( organization(X)
& ? [T0] : ( age(X,T0) = zero )
& greater_or_equal(sigma,zero)
& greater_or_equal(tau,zero) )
=> ~ ( fragile_position(X)
& robust_position(X) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lemma_10) ).
tff(f_58,axiom,
! [X,Y] :
( smaller_or_equal(X,Y)
<=> ( smaller(X,Y)
| ( X = Y ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MGT001+0.ax',definition_smaller_or_equal) ).
tff(f_70,axiom,
! [X,Y] :
( greater_or_equal(X,Y)
<=> ( greater(X,Y)
| ( X = Y ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MGT001+0.ax',definition_greater_or_equal) ).
tff(f_80,axiom,
! [X,Y] :
( smaller(X,Y)
<=> greater(Y,X) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MGT001+0.ax',definition_smaller) ).
tff(f_156,axiom,
! [X] :
( robust_position(X)
<=> ! [T] :
( ( smaller_or_equal(age(X,T),tau)
=> ~ positional_advantage(X,T) )
& ( greater(age(X,T),tau)
=> positional_advantage(X,T) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_4) ).
tff(f_139,axiom,
! [X] :
( fragile_position(X)
<=> ! [T] :
( ( smaller_or_equal(age(X,T),sigma)
=> positional_advantage(X,T) )
& ( greater(age(X,T),sigma)
=> ~ positional_advantage(X,T) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_3) ).
tff(c_48,plain,
robust_position('#skF_5'),
inference(cnfTransformation,[status(thm)],[f_176]) ).
tff(c_4,plain,
! [Y_2] : smaller_or_equal(Y_2,Y_2),
inference(cnfTransformation,[status(thm)],[f_58]) ).
tff(c_50,plain,
fragile_position('#skF_5'),
inference(cnfTransformation,[status(thm)],[f_176]) ).
tff(c_54,plain,
greater_or_equal(sigma,zero),
inference(cnfTransformation,[status(thm)],[f_176]) ).
tff(c_74,plain,
! [Y_35,X_36] :
( ( Y_35 = X_36 )
| greater(X_36,Y_35)
| ~ greater_or_equal(X_36,Y_35) ),
inference(cnfTransformation,[status(thm)],[f_70]) ).
tff(c_90,plain,
( ( zero = sigma )
| greater(sigma,zero) ),
inference(resolution,[status(thm)],[c_54,c_74]) ).
tff(c_92,plain,
greater(sigma,zero),
inference(splitLeft,[status(thm)],[c_90]) ).
tff(c_16,plain,
! [X_5,Y_6] :
( smaller(X_5,Y_6)
| ~ greater(Y_6,X_5) ),
inference(cnfTransformation,[status(thm)],[f_80]) ).
tff(c_6,plain,
! [X_1,Y_2] :
( ~ smaller(X_1,Y_2)
| smaller_or_equal(X_1,Y_2) ),
inference(cnfTransformation,[status(thm)],[f_58]) ).
tff(c_52,plain,
greater_or_equal(tau,zero),
inference(cnfTransformation,[status(thm)],[f_176]) ).
tff(c_91,plain,
( ( zero = tau )
| greater(tau,zero) ),
inference(resolution,[status(thm)],[c_52,c_74]) ).
tff(c_101,plain,
greater(tau,zero),
inference(splitLeft,[status(thm)],[c_91]) ).
tff(c_56,plain,
age('#skF_5','#skF_6') = zero,
inference(cnfTransformation,[status(thm)],[f_176]) ).
tff(c_178,plain,
! [X_47,T_48] :
( ~ positional_advantage(X_47,T_48)
| ~ smaller_or_equal(age(X_47,T_48),tau)
| ~ robust_position(X_47) ),
inference(cnfTransformation,[status(thm)],[f_156]) ).
tff(c_184,plain,
( ~ positional_advantage('#skF_5','#skF_6')
| ~ smaller_or_equal(zero,tau)
| ~ robust_position('#skF_5') ),
inference(superposition,[status(thm),theory(equality)],[c_56,c_178]) ).
tff(c_187,plain,
( ~ positional_advantage('#skF_5','#skF_6')
| ~ smaller_or_equal(zero,tau) ),
inference(demodulation,[status(thm),theory(equality)],[c_48,c_184]) ).
tff(c_188,plain,
~ smaller_or_equal(zero,tau),
inference(splitLeft,[status(thm)],[c_187]) ).
tff(c_192,plain,
~ smaller(zero,tau),
inference(resolution,[status(thm)],[c_6,c_188]) ).
tff(c_198,plain,
~ greater(tau,zero),
inference(resolution,[status(thm)],[c_16,c_192]) ).
tff(c_205,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_101,c_198]) ).
tff(c_206,plain,
~ positional_advantage('#skF_5','#skF_6'),
inference(splitRight,[status(thm)],[c_187]) ).
tff(c_341,plain,
! [X_64,T_65] :
( positional_advantage(X_64,T_65)
| ~ smaller_or_equal(age(X_64,T_65),sigma)
| ~ fragile_position(X_64) ),
inference(cnfTransformation,[status(thm)],[f_139]) ).
tff(c_347,plain,
( positional_advantage('#skF_5','#skF_6')
| ~ smaller_or_equal(zero,sigma)
| ~ fragile_position('#skF_5') ),
inference(superposition,[status(thm),theory(equality)],[c_56,c_341]) ).
tff(c_350,plain,
( positional_advantage('#skF_5','#skF_6')
| ~ smaller_or_equal(zero,sigma) ),
inference(demodulation,[status(thm),theory(equality)],[c_50,c_347]) ).
tff(c_351,plain,
~ smaller_or_equal(zero,sigma),
inference(negUnitSimplification,[status(thm)],[c_206,c_350]) ).
tff(c_355,plain,
~ smaller(zero,sigma),
inference(resolution,[status(thm)],[c_6,c_351]) ).
tff(c_378,plain,
~ greater(sigma,zero),
inference(resolution,[status(thm)],[c_16,c_355]) ).
tff(c_385,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_92,c_378]) ).
tff(c_386,plain,
zero = tau,
inference(splitRight,[status(thm)],[c_91]) ).
tff(c_389,plain,
greater(sigma,tau),
inference(demodulation,[status(thm),theory(equality)],[c_386,c_92]) ).
tff(c_390,plain,
age('#skF_5','#skF_6') = tau,
inference(demodulation,[status(thm),theory(equality)],[c_386,c_56]) ).
tff(c_505,plain,
! [X_79,T_80] :
( ~ positional_advantage(X_79,T_80)
| ~ smaller_or_equal(age(X_79,T_80),tau)
| ~ robust_position(X_79) ),
inference(cnfTransformation,[status(thm)],[f_156]) ).
tff(c_508,plain,
( ~ positional_advantage('#skF_5','#skF_6')
| ~ smaller_or_equal(tau,tau)
| ~ robust_position('#skF_5') ),
inference(superposition,[status(thm),theory(equality)],[c_390,c_505]) ).
tff(c_513,plain,
~ positional_advantage('#skF_5','#skF_6'),
inference(demodulation,[status(thm),theory(equality)],[c_48,c_4,c_508]) ).
tff(c_549,plain,
! [X_86,T_87] :
( positional_advantage(X_86,T_87)
| ~ smaller_or_equal(age(X_86,T_87),sigma)
| ~ fragile_position(X_86) ),
inference(cnfTransformation,[status(thm)],[f_139]) ).
tff(c_552,plain,
( positional_advantage('#skF_5','#skF_6')
| ~ smaller_or_equal(tau,sigma)
| ~ fragile_position('#skF_5') ),
inference(superposition,[status(thm),theory(equality)],[c_390,c_549]) ).
tff(c_557,plain,
( positional_advantage('#skF_5','#skF_6')
| ~ smaller_or_equal(tau,sigma) ),
inference(demodulation,[status(thm),theory(equality)],[c_50,c_552]) ).
tff(c_558,plain,
~ smaller_or_equal(tau,sigma),
inference(negUnitSimplification,[status(thm)],[c_513,c_557]) ).
tff(c_563,plain,
~ smaller(tau,sigma),
inference(resolution,[status(thm)],[c_6,c_558]) ).
tff(c_569,plain,
~ greater(sigma,tau),
inference(resolution,[status(thm)],[c_16,c_563]) ).
tff(c_576,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_389,c_569]) ).
tff(c_577,plain,
zero = sigma,
inference(splitRight,[status(thm)],[c_90]) ).
tff(c_579,plain,
age('#skF_5','#skF_6') = sigma,
inference(demodulation,[status(thm),theory(equality)],[c_577,c_56]) ).
tff(c_870,plain,
! [X_123,T_124] :
( positional_advantage(X_123,T_124)
| ~ smaller_or_equal(age(X_123,T_124),sigma)
| ~ fragile_position(X_123) ),
inference(cnfTransformation,[status(thm)],[f_139]) ).
tff(c_873,plain,
( positional_advantage('#skF_5','#skF_6')
| ~ smaller_or_equal(sigma,sigma)
| ~ fragile_position('#skF_5') ),
inference(superposition,[status(thm),theory(equality)],[c_579,c_870]) ).
tff(c_878,plain,
positional_advantage('#skF_5','#skF_6'),
inference(demodulation,[status(thm),theory(equality)],[c_50,c_4,c_873]) ).
tff(c_596,plain,
( ( tau = sigma )
| greater(tau,sigma) ),
inference(demodulation,[status(thm),theory(equality)],[c_577,c_577,c_91]) ).
tff(c_597,plain,
greater(tau,sigma),
inference(splitLeft,[status(thm)],[c_596]) ).
tff(c_760,plain,
! [X_107,T_108] :
( positional_advantage(X_107,T_108)
| ~ smaller_or_equal(age(X_107,T_108),sigma)
| ~ fragile_position(X_107) ),
inference(cnfTransformation,[status(thm)],[f_139]) ).
tff(c_763,plain,
( positional_advantage('#skF_5','#skF_6')
| ~ smaller_or_equal(sigma,sigma)
| ~ fragile_position('#skF_5') ),
inference(superposition,[status(thm),theory(equality)],[c_579,c_760]) ).
tff(c_768,plain,
positional_advantage('#skF_5','#skF_6'),
inference(demodulation,[status(thm),theory(equality)],[c_50,c_4,c_763]) ).
tff(c_770,plain,
! [X_109,T_110] :
( ~ positional_advantage(X_109,T_110)
| ~ smaller_or_equal(age(X_109,T_110),tau)
| ~ robust_position(X_109) ),
inference(cnfTransformation,[status(thm)],[f_156]) ).
tff(c_773,plain,
( ~ positional_advantage('#skF_5','#skF_6')
| ~ smaller_or_equal(sigma,tau)
| ~ robust_position('#skF_5') ),
inference(superposition,[status(thm),theory(equality)],[c_579,c_770]) ).
tff(c_778,plain,
~ smaller_or_equal(sigma,tau),
inference(demodulation,[status(thm),theory(equality)],[c_48,c_768,c_773]) ).
tff(c_783,plain,
~ smaller(sigma,tau),
inference(resolution,[status(thm)],[c_6,c_778]) ).
tff(c_803,plain,
~ greater(tau,sigma),
inference(resolution,[status(thm)],[c_16,c_783]) ).
tff(c_810,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_597,c_803]) ).
tff(c_811,plain,
tau = sigma,
inference(splitRight,[status(thm)],[c_596]) ).
tff(c_36,plain,
! [X_18,T_21] :
( ~ positional_advantage(X_18,T_21)
| ~ smaller_or_equal(age(X_18,T_21),tau)
| ~ robust_position(X_18) ),
inference(cnfTransformation,[status(thm)],[f_156]) ).
tff(c_881,plain,
! [X_125,T_126] :
( ~ positional_advantage(X_125,T_126)
| ~ smaller_or_equal(age(X_125,T_126),sigma)
| ~ robust_position(X_125) ),
inference(demodulation,[status(thm),theory(equality)],[c_811,c_36]) ).
tff(c_884,plain,
( ~ positional_advantage('#skF_5','#skF_6')
| ~ smaller_or_equal(sigma,sigma)
| ~ robust_position('#skF_5') ),
inference(superposition,[status(thm),theory(equality)],[c_579,c_881]) ).
tff(c_890,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_48,c_4,c_878,c_884]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : MGT058+1 : TPTP v8.1.2. Released v2.4.0.
% 0.00/0.14 % 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
% 0.15/0.35 % Computer : n010.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Thu Aug 3 20:22:29 EDT 2023
% 0.15/0.36 % CPUTime :
% 4.55/2.48 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.55/2.49
% 4.55/2.49 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 4.55/2.53
% 4.55/2.53 Inference rules
% 4.55/2.53 ----------------------
% 4.55/2.53 #Ref : 0
% 4.55/2.53 #Sup : 171
% 4.55/2.53 #Fact : 8
% 4.55/2.53 #Define : 0
% 4.55/2.53 #Split : 5
% 4.55/2.53 #Chain : 0
% 4.55/2.53 #Close : 0
% 4.55/2.53
% 4.55/2.53 Ordering : KBO
% 4.55/2.53
% 4.55/2.53 Simplification rules
% 4.55/2.53 ----------------------
% 4.55/2.53 #Subsume : 40
% 4.55/2.53 #Demod : 66
% 4.55/2.53 #Tautology : 55
% 4.55/2.53 #SimpNegUnit : 9
% 4.55/2.53 #BackRed : 9
% 4.55/2.53
% 4.55/2.53 #Partial instantiations: 0
% 4.55/2.53 #Strategies tried : 1
% 4.55/2.53
% 4.55/2.53 Timing (in seconds)
% 4.55/2.53 ----------------------
% 4.55/2.53 Preprocessing : 0.71
% 4.55/2.53 Parsing : 0.35
% 4.55/2.53 CNF conversion : 0.05
% 4.55/2.53 Main loop : 0.49
% 4.55/2.53 Inferencing : 0.20
% 4.55/2.53 Reduction : 0.12
% 4.55/2.53 Demodulation : 0.08
% 4.55/2.53 BG Simplification : 0.04
% 4.55/2.53 Subsumption : 0.11
% 4.55/2.53 Abstraction : 0.02
% 4.55/2.53 MUC search : 0.00
% 4.55/2.53 Cooper : 0.00
% 4.55/2.53 Total : 1.27
% 4.55/2.53 Index Insertion : 0.00
% 4.55/2.53 Index Deletion : 0.00
% 4.55/2.53 Index Matching : 0.00
% 4.55/2.53 BG Taut test : 0.00
%------------------------------------------------------------------------------