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/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 : n017.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 3.53s 1.94s
% Output : CNFRefutation 3.90s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 27
% Syntax : Number of formulae : 92 ( 43 unt; 16 typ; 0 def)
% Number of atoms : 130 ( 14 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 127 ( 73 ~; 54 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 17 ( 11 >; 6 *; 0 +; 0 <<)
% Number of predicates : 10 ( 8 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 37 (; 37 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ smaller_or_equal > smaller > positional_advantage > greater_or_equal > greater > robust_position > organization > fragile_position > age > #nlpp > sk2 > sk1 > zero > tau > sk4 > sk3 > sigma
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(greater,type,
greater: ( $i * $i ) > $o ).
tff(sk1,type,
sk1: $i > $i ).
tff(sk2,type,
sk2: $i > $i ).
tff(organization,type,
organization: $i > $o ).
tff(positional_advantage,type,
positional_advantage: ( $i * $i ) > $o ).
tff(robust_position,type,
robust_position: $i > $o ).
tff(smaller,type,
smaller: ( $i * $i ) > $o ).
tff(sk4,type,
sk4: $i ).
tff(fragile_position,type,
fragile_position: $i > $o ).
tff(sigma,type,
sigma: $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(tau,type,
tau: $i ).
tff(zero,type,
zero: $i ).
tff(smaller_or_equal,type,
smaller_or_equal: ( $i * $i ) > $o ).
tff(f_204,axiom,
robust_position(sk3),
file(unknown,unknown) ).
tff(f_63,axiom,
! [A,B] :
( ( A != B )
| smaller_or_equal(A,B) ),
file(unknown,unknown) ).
tff(f_203,axiom,
fragile_position(sk3),
file(unknown,unknown) ).
tff(f_202,axiom,
greater_or_equal(tau,zero),
file(unknown,unknown) ).
tff(f_70,axiom,
! [A,B] :
( ~ greater_or_equal(A,B)
| greater(A,B)
| ( A = B ) ),
file(unknown,unknown) ).
tff(f_90,axiom,
! [A,B] :
( ~ greater(A,B)
| smaller(B,A) ),
file(unknown,unknown) ).
tff(f_58,axiom,
! [A,B] :
( ~ smaller(A,B)
| smaller_or_equal(A,B) ),
file(unknown,unknown) ).
tff(f_201,axiom,
greater_or_equal(sigma,zero),
file(unknown,unknown) ).
tff(f_200,axiom,
age(sk3,sk4) = zero,
file(unknown,unknown) ).
tff(f_120,axiom,
! [A,B] :
( ~ fragile_position(A)
| ~ smaller_or_equal(age(A,B),sigma)
| positional_advantage(A,B) ),
file(unknown,unknown) ).
tff(f_164,axiom,
! [A,B] :
( ~ robust_position(A)
| ~ smaller_or_equal(age(A,B),tau)
| ~ positional_advantage(A,B) ),
file(unknown,unknown) ).
tff(c_58,plain,
robust_position(sk3),
inference(cnfTransformation,[status(thm)],[f_204]) ).
tff(c_6,plain,
! [B_6] : smaller_or_equal(B_6,B_6),
inference(cnfTransformation,[status(thm)],[f_63]) ).
tff(c_56,plain,
fragile_position(sk3),
inference(cnfTransformation,[status(thm)],[f_203]) ).
tff(c_54,plain,
greater_or_equal(tau,zero),
inference(cnfTransformation,[status(thm)],[f_202]) ).
tff(c_89,plain,
! [B_56,A_57] :
( ( B_56 = A_57 )
| greater(A_57,B_56)
| ~ greater_or_equal(A_57,B_56) ),
inference(cnfTransformation,[status(thm)],[f_70]) ).
tff(c_103,plain,
( ( zero = tau )
| greater(tau,zero) ),
inference(resolution,[status(thm)],[c_54,c_89]) ).
tff(c_107,plain,
greater(tau,zero),
inference(splitLeft,[status(thm)],[c_103]) ).
tff(c_16,plain,
! [B_16,A_15] :
( smaller(B_16,A_15)
| ~ greater(A_15,B_16) ),
inference(cnfTransformation,[status(thm)],[f_90]) ).
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_58]) ).
tff(c_52,plain,
greater_or_equal(sigma,zero),
inference(cnfTransformation,[status(thm)],[f_201]) ).
tff(c_106,plain,
( ( zero = sigma )
| greater(sigma,zero) ),
inference(resolution,[status(thm)],[c_52,c_89]) ).
tff(c_115,plain,
greater(sigma,zero),
inference(splitLeft,[status(thm)],[c_106]) ).
tff(c_50,plain,
age(sk3,sk4) = zero,
inference(cnfTransformation,[status(thm)],[f_200]) ).
tff(c_136,plain,
! [A_63,B_64] :
( positional_advantage(A_63,B_64)
| ~ smaller_or_equal(age(A_63,B_64),sigma)
| ~ fragile_position(A_63) ),
inference(cnfTransformation,[status(thm)],[f_120]) ).
tff(c_142,plain,
( positional_advantage(sk3,sk4)
| ~ smaller_or_equal(zero,sigma)
| ~ fragile_position(sk3) ),
inference(superposition,[status(thm),theory(equality)],[c_50,c_136]) ).
tff(c_145,plain,
( positional_advantage(sk3,sk4)
| ~ smaller_or_equal(zero,sigma) ),
inference(demodulation,[status(thm),theory(equality)],[c_56,c_142]) ).
tff(c_146,plain,
~ smaller_or_equal(zero,sigma),
inference(splitLeft,[status(thm)],[c_145]) ).
tff(c_150,plain,
~ smaller(zero,sigma),
inference(resolution,[status(thm)],[c_4,c_146]) ).
tff(c_156,plain,
~ greater(sigma,zero),
inference(resolution,[status(thm)],[c_16,c_150]) ).
tff(c_163,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_115,c_156]) ).
tff(c_164,plain,
positional_advantage(sk3,sk4),
inference(splitRight,[status(thm)],[c_145]) ).
tff(c_166,plain,
! [A_65,B_66] :
( ~ positional_advantage(A_65,B_66)
| ~ smaller_or_equal(age(A_65,B_66),tau)
| ~ robust_position(A_65) ),
inference(cnfTransformation,[status(thm)],[f_164]) ).
tff(c_172,plain,
( ~ positional_advantage(sk3,sk4)
| ~ smaller_or_equal(zero,tau)
| ~ robust_position(sk3) ),
inference(superposition,[status(thm),theory(equality)],[c_50,c_166]) ).
tff(c_175,plain,
( ~ positional_advantage(sk3,sk4)
| ~ smaller_or_equal(zero,tau) ),
inference(demodulation,[status(thm),theory(equality)],[c_58,c_172]) ).
tff(c_187,plain,
~ smaller_or_equal(zero,tau),
inference(demodulation,[status(thm),theory(equality)],[c_164,c_175]) ).
tff(c_191,plain,
~ smaller(zero,tau),
inference(resolution,[status(thm)],[c_4,c_187]) ).
tff(c_203,plain,
~ greater(tau,zero),
inference(resolution,[status(thm)],[c_16,c_191]) ).
tff(c_210,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_107,c_203]) ).
tff(c_211,plain,
zero = sigma,
inference(splitRight,[status(thm)],[c_106]) ).
tff(c_214,plain,
greater(tau,sigma),
inference(demodulation,[status(thm),theory(equality)],[c_211,c_107]) ).
tff(c_215,plain,
age(sk3,sk4) = sigma,
inference(demodulation,[status(thm),theory(equality)],[c_211,c_50]) ).
tff(c_257,plain,
! [A_74,B_75] :
( positional_advantage(A_74,B_75)
| ~ smaller_or_equal(age(A_74,B_75),sigma)
| ~ fragile_position(A_74) ),
inference(cnfTransformation,[status(thm)],[f_120]) ).
tff(c_260,plain,
( positional_advantage(sk3,sk4)
| ~ smaller_or_equal(sigma,sigma)
| ~ fragile_position(sk3) ),
inference(superposition,[status(thm),theory(equality)],[c_215,c_257]) ).
tff(c_265,plain,
positional_advantage(sk3,sk4),
inference(demodulation,[status(thm),theory(equality)],[c_56,c_6,c_260]) ).
tff(c_244,plain,
! [A_71,B_72] :
( ~ positional_advantage(A_71,B_72)
| ~ smaller_or_equal(age(A_71,B_72),tau)
| ~ robust_position(A_71) ),
inference(cnfTransformation,[status(thm)],[f_164]) ).
tff(c_247,plain,
( ~ positional_advantage(sk3,sk4)
| ~ smaller_or_equal(sigma,tau)
| ~ robust_position(sk3) ),
inference(superposition,[status(thm),theory(equality)],[c_215,c_244]) ).
tff(c_252,plain,
( ~ positional_advantage(sk3,sk4)
| ~ smaller_or_equal(sigma,tau) ),
inference(demodulation,[status(thm),theory(equality)],[c_58,c_247]) ).
tff(c_268,plain,
~ smaller_or_equal(sigma,tau),
inference(demodulation,[status(thm),theory(equality)],[c_265,c_252]) ).
tff(c_272,plain,
~ smaller(sigma,tau),
inference(resolution,[status(thm)],[c_4,c_268]) ).
tff(c_278,plain,
~ greater(tau,sigma),
inference(resolution,[status(thm)],[c_16,c_272]) ).
tff(c_285,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_214,c_278]) ).
tff(c_286,plain,
zero = tau,
inference(splitRight,[status(thm)],[c_103]) ).
tff(c_306,plain,
( ( tau = sigma )
| greater(sigma,tau) ),
inference(demodulation,[status(thm),theory(equality)],[c_286,c_286,c_106]) ).
tff(c_307,plain,
greater(sigma,tau),
inference(splitLeft,[status(thm)],[c_306]) ).
tff(c_288,plain,
age(sk3,sk4) = tau,
inference(demodulation,[status(thm),theory(equality)],[c_286,c_50]) ).
tff(c_308,plain,
! [A_79,B_80] :
( positional_advantage(A_79,B_80)
| ~ smaller_or_equal(age(A_79,B_80),sigma)
| ~ fragile_position(A_79) ),
inference(cnfTransformation,[status(thm)],[f_120]) ).
tff(c_311,plain,
( positional_advantage(sk3,sk4)
| ~ smaller_or_equal(tau,sigma)
| ~ fragile_position(sk3) ),
inference(superposition,[status(thm),theory(equality)],[c_288,c_308]) ).
tff(c_316,plain,
( positional_advantage(sk3,sk4)
| ~ smaller_or_equal(tau,sigma) ),
inference(demodulation,[status(thm),theory(equality)],[c_56,c_311]) ).
tff(c_325,plain,
~ smaller_or_equal(tau,sigma),
inference(splitLeft,[status(thm)],[c_316]) ).
tff(c_329,plain,
~ smaller(tau,sigma),
inference(resolution,[status(thm)],[c_4,c_325]) ).
tff(c_345,plain,
~ greater(sigma,tau),
inference(resolution,[status(thm)],[c_16,c_329]) ).
tff(c_352,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_307,c_345]) ).
tff(c_353,plain,
positional_advantage(sk3,sk4),
inference(splitRight,[status(thm)],[c_316]) ).
tff(c_355,plain,
! [A_83,B_84] :
( ~ positional_advantage(A_83,B_84)
| ~ smaller_or_equal(age(A_83,B_84),tau)
| ~ robust_position(A_83) ),
inference(cnfTransformation,[status(thm)],[f_164]) ).
tff(c_358,plain,
( ~ positional_advantage(sk3,sk4)
| ~ smaller_or_equal(tau,tau)
| ~ robust_position(sk3) ),
inference(superposition,[status(thm),theory(equality)],[c_288,c_355]) ).
tff(c_364,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_58,c_6,c_353,c_358]) ).
tff(c_365,plain,
tau = sigma,
inference(splitRight,[status(thm)],[c_306]) ).
tff(c_367,plain,
age(sk3,sk4) = sigma,
inference(demodulation,[status(thm),theory(equality)],[c_365,c_288]) ).
tff(c_385,plain,
! [A_85,B_86] :
( positional_advantage(A_85,B_86)
| ~ smaller_or_equal(age(A_85,B_86),sigma)
| ~ fragile_position(A_85) ),
inference(cnfTransformation,[status(thm)],[f_120]) ).
tff(c_388,plain,
( positional_advantage(sk3,sk4)
| ~ smaller_or_equal(sigma,sigma)
| ~ fragile_position(sk3) ),
inference(superposition,[status(thm),theory(equality)],[c_367,c_385]) ).
tff(c_393,plain,
positional_advantage(sk3,sk4),
inference(demodulation,[status(thm),theory(equality)],[c_56,c_6,c_388]) ).
tff(c_36,plain,
! [A_32,B_33] :
( ~ positional_advantage(A_32,B_33)
| ~ smaller_or_equal(age(A_32,B_33),tau)
| ~ robust_position(A_32) ),
inference(cnfTransformation,[status(thm)],[f_164]) ).
tff(c_429,plain,
! [A_89,B_90] :
( ~ positional_advantage(A_89,B_90)
| ~ smaller_or_equal(age(A_89,B_90),sigma)
| ~ robust_position(A_89) ),
inference(demodulation,[status(thm),theory(equality)],[c_365,c_36]) ).
tff(c_432,plain,
( ~ positional_advantage(sk3,sk4)
| ~ smaller_or_equal(sigma,sigma)
| ~ robust_position(sk3) ),
inference(superposition,[status(thm),theory(equality)],[c_367,c_429]) ).
tff(c_438,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_58,c_6,c_393,c_432]) ).
%------------------------------------------------------------------------------
%----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/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
% 0.15/0.36 % Computer : n017.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Thu Aug 3 20:00:36 EDT 2023
% 0.15/0.36 % CPUTime :
% 3.53/1.94 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.53/1.95
% 3.53/1.95 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 3.90/1.99
% 3.90/1.99 Inference rules
% 3.90/1.99 ----------------------
% 3.90/1.99 #Ref : 0
% 3.90/1.99 #Sup : 76
% 3.90/1.99 #Fact : 2
% 3.90/1.99 #Define : 0
% 3.90/1.99 #Split : 6
% 3.90/1.99 #Chain : 0
% 3.90/1.99 #Close : 0
% 3.90/1.99
% 3.90/1.99 Ordering : KBO
% 3.90/1.99
% 3.90/1.99 Simplification rules
% 3.90/1.99 ----------------------
% 3.90/1.99 #Subsume : 5
% 3.90/1.99 #Demod : 53
% 3.90/1.99 #Tautology : 34
% 3.90/1.99 #SimpNegUnit : 5
% 3.90/1.99 #BackRed : 12
% 3.90/1.99
% 3.90/1.99 #Partial instantiations: 0
% 3.90/1.99 #Strategies tried : 1
% 3.90/1.99
% 3.90/1.99 Timing (in seconds)
% 3.90/1.99 ----------------------
% 3.90/1.99 Preprocessing : 0.51
% 3.90/1.99 Parsing : 0.24
% 3.90/1.99 CNF conversion : 0.03
% 3.90/1.99 Main loop : 0.38
% 3.90/1.99 Inferencing : 0.15
% 3.90/1.99 Reduction : 0.10
% 3.90/1.99 Demodulation : 0.07
% 3.90/1.99 BG Simplification : 0.02
% 3.90/1.99 Subsumption : 0.08
% 3.90/1.99 Abstraction : 0.01
% 3.90/1.99 MUC search : 0.00
% 3.90/1.99 Cooper : 0.00
% 3.90/1.99 Total : 0.95
% 3.90/1.99 Index Insertion : 0.00
% 3.90/2.00 Index Deletion : 0.00
% 3.90/2.00 Index Matching : 0.00
% 3.90/2.00 BG Taut test : 0.00
%------------------------------------------------------------------------------