TSTP Solution File: SYN618-1 by Beagle---0.9.51
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%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SYN618-1 : TPTP v8.1.2. Released v2.5.0.
% 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 11:11:26 EDT 2023
% Result : Unsatisfiable 7.55s 2.93s
% Output : CNFRefutation 7.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 34
% Syntax : Number of formulae : 56 ( 18 unt; 23 typ; 0 def)
% Number of atoms : 65 ( 0 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 68 ( 36 ~; 32 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 25 ( 14 >; 11 *; 0 +; 0 <<)
% Number of predicates : 11 ( 10 usr; 1 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 9 con; 0-2 aty)
% Number of variables : 33 (; 33 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ p11 > p5 > p4 > p2 > p15 > p14 > p13 > p12 > p10 > p9 > f8 > #nlpp > f7 > f6 > f3 > c24 > c23 > c22 > c21 > c20 > c19 > c18 > c17 > c16
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(f3,type,
f3: $i > $i ).
tff(p15,type,
p15: ( $i * $i ) > $o ).
tff(p4,type,
p4: ( $i * $i ) > $o ).
tff(c16,type,
c16: $i ).
tff(f7,type,
f7: $i > $i ).
tff(p13,type,
p13: ( $i * $i ) > $o ).
tff(p2,type,
p2: ( $i * $i ) > $o ).
tff(c21,type,
c21: $i ).
tff(c23,type,
c23: $i ).
tff(c17,type,
c17: $i ).
tff(p11,type,
p11: ( $i * $i * $i ) > $o ).
tff(c22,type,
c22: $i ).
tff(p5,type,
p5: ( $i * $i ) > $o ).
tff(f6,type,
f6: $i > $i ).
tff(f8,type,
f8: ( $i * $i ) > $i ).
tff(p14,type,
p14: ( $i * $i ) > $o ).
tff(c18,type,
c18: $i ).
tff(p10,type,
p10: ( $i * $i ) > $o ).
tff(c19,type,
c19: $i ).
tff(p9,type,
p9: $i > $o ).
tff(c20,type,
c20: $i ).
tff(p12,type,
p12: ( $i * $i ) > $o ).
tff(c24,type,
c24: $i ).
tff(f_30,axiom,
! [X24] : p2(X24,X24),
file(unknown,unknown) ).
tff(f_158,axiom,
! [X40,X41,X42,X43] :
( p5(f8(X40,X41),f8(X42,X43))
| ~ p2(X40,X42)
| ~ p5(X41,X43) ),
file(unknown,unknown) ).
tff(f_49,axiom,
p5(f8(f3(c16),c23),f6(f7(c22))),
file(unknown,unknown) ).
tff(f_82,axiom,
! [X35,X36,X34] :
( p5(X35,X36)
| ~ p5(X34,X35)
| ~ p5(X34,X36) ),
file(unknown,unknown) ).
tff(f_51,axiom,
~ p5(f8(f3(c16),c20),f6(f7(c22))),
file(unknown,unknown) ).
tff(f_34,axiom,
p13(c23,c21),
file(unknown,unknown) ).
tff(f_35,axiom,
p13(c19,c23),
file(unknown,unknown) ).
tff(f_26,axiom,
! [X34] : p5(X34,X34),
file(unknown,unknown) ).
tff(f_38,axiom,
p2(c17,f3(c16)),
file(unknown,unknown) ).
tff(f_98,axiom,
! [X25,X26,X24] :
( p2(X25,X26)
| ~ p2(X24,X25)
| ~ p2(X24,X26) ),
file(unknown,unknown) ).
tff(f_169,axiom,
! [X37] :
( p5(X37,c20)
| ~ p13(X37,c21)
| ~ p13(c19,X37)
| ~ p5(f8(c17,X37),f6(f7(c22))) ),
file(unknown,unknown) ).
tff(c_10,plain,
! [X24_4] : p2(X24_4,X24_4),
inference(cnfTransformation,[status(thm)],[f_30]) ).
tff(c_60,plain,
! [X41_43,X43_45,X40_42,X42_44] :
( ~ p5(X41_43,X43_45)
| ~ p2(X40_42,X42_44)
| p5(f8(X40_42,X41_43),f8(X42_44,X43_45)) ),
inference(cnfTransformation,[status(thm)],[f_158]) ).
tff(c_32,plain,
p5(f8(f3(c16),c23),f6(f7(c22))),
inference(cnfTransformation,[status(thm)],[f_49]) ).
tff(c_261,plain,
! [X34_94,X36_95,X35_96] :
( ~ p5(X34_94,X36_95)
| ~ p5(X34_94,X35_96)
| p5(X35_96,X36_95) ),
inference(cnfTransformation,[status(thm)],[f_82]) ).
tff(c_1225,plain,
! [X35_194] :
( ~ p5(f8(f3(c16),c23),X35_194)
| p5(X35_194,f6(f7(c22))) ),
inference(resolution,[status(thm)],[c_32,c_261]) ).
tff(c_4542,plain,
! [X42_316,X43_317] :
( p5(f8(X42_316,X43_317),f6(f7(c22)))
| ~ p5(c23,X43_317)
| ~ p2(f3(c16),X42_316) ),
inference(resolution,[status(thm)],[c_60,c_1225]) ).
tff(c_34,plain,
~ p5(f8(f3(c16),c20),f6(f7(c22))),
inference(cnfTransformation,[status(thm)],[f_51]) ).
tff(c_4568,plain,
( ~ p5(c23,c20)
| ~ p2(f3(c16),f3(c16)) ),
inference(resolution,[status(thm)],[c_4542,c_34]) ).
tff(c_4586,plain,
~ p5(c23,c20),
inference(demodulation,[status(thm),theory(equality)],[c_10,c_4568]) ).
tff(c_16,plain,
p13(c23,c21),
inference(cnfTransformation,[status(thm)],[f_34]) ).
tff(c_18,plain,
p13(c19,c23),
inference(cnfTransformation,[status(thm)],[f_35]) ).
tff(c_6,plain,
! [X34_2] : p5(X34_2,X34_2),
inference(cnfTransformation,[status(thm)],[f_26]) ).
tff(c_24,plain,
p2(c17,f3(c16)),
inference(cnfTransformation,[status(thm)],[f_38]) ).
tff(c_89,plain,
! [X24_67,X26_68,X25_69] :
( ~ p2(X24_67,X26_68)
| ~ p2(X24_67,X25_69)
| p2(X25_69,X26_68) ),
inference(cnfTransformation,[status(thm)],[f_98]) ).
tff(c_99,plain,
! [X24_70,X25_71] :
( ~ p2(X24_70,X25_71)
| p2(X25_71,X24_70) ),
inference(resolution,[status(thm)],[c_10,c_89]) ).
tff(c_107,plain,
p2(f3(c16),c17),
inference(resolution,[status(thm)],[c_24,c_99]) ).
tff(c_62,plain,
! [X37_46] :
( ~ p5(f8(c17,X37_46),f6(f7(c22)))
| ~ p13(c19,X37_46)
| ~ p13(X37_46,c21)
| p5(X37_46,c20) ),
inference(cnfTransformation,[status(thm)],[f_169]) ).
tff(c_4561,plain,
! [X43_317] :
( ~ p13(c19,X43_317)
| ~ p13(X43_317,c21)
| p5(X43_317,c20)
| ~ p5(c23,X43_317)
| ~ p2(f3(c16),c17) ),
inference(resolution,[status(thm)],[c_4542,c_62]) ).
tff(c_6882,plain,
! [X43_358] :
( ~ p13(c19,X43_358)
| ~ p13(X43_358,c21)
| p5(X43_358,c20)
| ~ p5(c23,X43_358) ),
inference(demodulation,[status(thm),theory(equality)],[c_107,c_4561]) ).
tff(c_6891,plain,
( ~ p13(c19,c23)
| ~ p13(c23,c21)
| p5(c23,c20) ),
inference(resolution,[status(thm)],[c_6,c_6882]) ).
tff(c_6896,plain,
p5(c23,c20),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_18,c_6891]) ).
tff(c_6898,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_4586,c_6896]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : SYN618-1 : TPTP v8.1.2. Released v2.5.0.
% 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
% 0.15/0.36 % Computer : n019.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 17:22:01 EDT 2023
% 0.15/0.37 % CPUTime :
% 7.55/2.93 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 7.55/2.94
% 7.55/2.94 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 7.55/2.98
% 7.55/2.98 Inference rules
% 7.55/2.98 ----------------------
% 7.55/2.98 #Ref : 0
% 7.55/2.98 #Sup : 1687
% 7.55/2.98 #Fact : 0
% 7.55/2.98 #Define : 0
% 7.55/2.98 #Split : 24
% 7.55/2.98 #Chain : 0
% 7.55/2.98 #Close : 0
% 7.55/2.99
% 7.55/2.99 Ordering : KBO
% 7.55/2.99
% 7.55/2.99 Simplification rules
% 7.55/2.99 ----------------------
% 7.55/2.99 #Subsume : 735
% 7.55/2.99 #Demod : 375
% 7.55/2.99 #Tautology : 139
% 7.55/2.99 #SimpNegUnit : 50
% 7.55/2.99 #BackRed : 0
% 7.55/2.99
% 7.55/2.99 #Partial instantiations: 0
% 7.55/2.99 #Strategies tried : 1
% 7.55/2.99
% 7.55/2.99 Timing (in seconds)
% 7.55/2.99 ----------------------
% 7.55/2.99 Preprocessing : 0.48
% 7.55/2.99 Parsing : 0.26
% 7.55/2.99 CNF conversion : 0.03
% 7.55/2.99 Main loop : 1.41
% 7.55/2.99 Inferencing : 0.42
% 7.55/2.99 Reduction : 0.40
% 7.55/2.99 Demodulation : 0.27
% 7.55/2.99 BG Simplification : 0.04
% 7.55/2.99 Subsumption : 0.47
% 7.55/2.99 Abstraction : 0.04
% 7.55/2.99 MUC search : 0.00
% 7.55/2.99 Cooper : 0.00
% 7.55/2.99 Total : 1.96
% 7.55/2.99 Index Insertion : 0.00
% 7.55/2.99 Index Deletion : 0.00
% 7.55/2.99 Index Matching : 0.00
% 7.55/2.99 BG Taut test : 0.00
%------------------------------------------------------------------------------