TSTP Solution File: SYN558-1 by Beagle---0.9.51
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SYN558-1 : 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/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 : n016.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 11:11:18 EDT 2023
% Result : Unsatisfiable 6.04s 2.59s
% Output : CNFRefutation 6.35s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 21
% Syntax : Number of formulae : 61 ( 15 unt; 9 typ; 0 def)
% Number of atoms : 120 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 143 ( 75 ~; 68 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 10 ( 5 >; 5 *; 0 +; 0 <<)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-1 aty)
% Number of variables : 99 (; 99 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ p5 > p6 > p4 > p2 > #nlpp > f3 > c9 > c8 > c7 > c10
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(f3,type,
f3: $i > $i ).
tff(p4,type,
p4: ( $i * $i ) > $o ).
tff(p2,type,
p2: ( $i * $i ) > $o ).
tff(c8,type,
c8: $i ).
tff(c9,type,
c9: $i ).
tff(c10,type,
c10: $i ).
tff(c7,type,
c7: $i ).
tff(p6,type,
p6: ( $i * $i ) > $o ).
tff(p5,type,
p5: ( $i * $i * $i ) > $o ).
tff(f_23,axiom,
! [X0] : p2(X0,X0),
file(unknown,unknown) ).
tff(f_29,axiom,
p5(c7,c10,c8),
file(unknown,unknown) ).
tff(f_36,axiom,
! [X6,X7] :
( p2(f3(X6),f3(X7))
| ~ p2(X6,X7) ),
file(unknown,unknown) ).
tff(f_27,axiom,
! [X21] : p6(c7,f3(X21)),
file(unknown,unknown) ).
tff(f_31,axiom,
! [X21] : p5(c7,X21,f3(X21)),
file(unknown,unknown) ).
tff(f_66,axiom,
! [X11,X12,X13,X14] :
( p5(X11,X12,X13)
| ~ p5(X11,X12,X14)
| ~ p5(X11,X14,X13) ),
file(unknown,unknown) ).
tff(f_91,axiom,
! [X3,X4,X5] :
( p2(X3,X4)
| ~ p6(c7,X4)
| ~ p6(c7,X3)
| ~ p5(c7,X5,X4)
| ~ p5(c7,X5,X3) ),
file(unknown,unknown) ).
tff(f_50,axiom,
! [X1,X2,X0] :
( p2(X1,X2)
| ~ p2(X0,X1)
| ~ p2(X0,X2) ),
file(unknown,unknown) ).
tff(f_28,axiom,
p5(c7,c10,c9),
file(unknown,unknown) ).
tff(f_25,axiom,
! [X8] : p4(X8,X8),
file(unknown,unknown) ).
tff(f_105,axiom,
! [X16,X15,X17,X20,X19,X18] :
( p5(X15,X16,X17)
| ~ p2(X18,X16)
| ~ p2(X19,X17)
| ~ p4(X20,X15)
| ~ p5(X20,X18,X19) ),
file(unknown,unknown) ).
tff(f_42,axiom,
! [X26] :
( ~ p5(c7,c8,X26)
| ~ p5(c7,c9,X26) ),
file(unknown,unknown) ).
tff(c_2,plain,
! [X0_1] : p2(X0_1,X0_1),
inference(cnfTransformation,[status(thm)],[f_23]) ).
tff(c_10,plain,
p5(c7,c10,c8),
inference(cnfTransformation,[status(thm)],[f_29]) ).
tff(c_14,plain,
! [X6_5,X7_6] :
( ~ p2(X6_5,X7_6)
| p2(f3(X6_5),f3(X7_6)) ),
inference(cnfTransformation,[status(thm)],[f_36]) ).
tff(c_6,plain,
! [X21_3] : p6(c7,f3(X21_3)),
inference(cnfTransformation,[status(thm)],[f_27]) ).
tff(c_12,plain,
! [X21_4] : p5(c7,X21_4,f3(X21_4)),
inference(cnfTransformation,[status(thm)],[f_31]) ).
tff(c_82,plain,
! [X11_53,X14_54,X13_55,X12_56] :
( ~ p5(X11_53,X14_54,X13_55)
| ~ p5(X11_53,X12_56,X14_54)
| p5(X11_53,X12_56,X13_55) ),
inference(cnfTransformation,[status(thm)],[f_66]) ).
tff(c_89,plain,
! [X12_56,X21_4] :
( ~ p5(c7,X12_56,X21_4)
| p5(c7,X12_56,f3(X21_4)) ),
inference(resolution,[status(thm)],[c_12,c_82]) ).
tff(c_138,plain,
! [X5_65,X3_66,X4_67] :
( ~ p5(c7,X5_65,X3_66)
| ~ p5(c7,X5_65,X4_67)
| ~ p6(c7,X3_66)
| ~ p6(c7,X4_67)
| p2(X3_66,X4_67) ),
inference(cnfTransformation,[status(thm)],[f_91]) ).
tff(c_140,plain,
! [X12_56,X4_67,X21_4] :
( ~ p5(c7,X12_56,X4_67)
| ~ p6(c7,f3(X21_4))
| ~ p6(c7,X4_67)
| p2(f3(X21_4),X4_67)
| ~ p5(c7,X12_56,X21_4) ),
inference(resolution,[status(thm)],[c_89,c_138]) ).
tff(c_1580,plain,
! [X12_164,X4_165,X21_166] :
( ~ p5(c7,X12_164,X4_165)
| ~ p6(c7,X4_165)
| p2(f3(X21_166),X4_165)
| ~ p5(c7,X12_164,X21_166) ),
inference(demodulation,[status(thm),theory(equality)],[c_6,c_140]) ).
tff(c_1610,plain,
! [X21_4,X21_166] :
( ~ p6(c7,f3(X21_4))
| p2(f3(X21_166),f3(X21_4))
| ~ p5(c7,X21_4,X21_166) ),
inference(resolution,[status(thm)],[c_12,c_1580]) ).
tff(c_1932,plain,
! [X21_184,X21_185] :
( p2(f3(X21_184),f3(X21_185))
| ~ p5(c7,X21_185,X21_184) ),
inference(demodulation,[status(thm),theory(equality)],[c_6,c_1610]) ).
tff(c_18,plain,
! [X0_10,X2_9,X1_8] :
( ~ p2(X0_10,X2_9)
| ~ p2(X0_10,X1_8)
| p2(X1_8,X2_9) ),
inference(cnfTransformation,[status(thm)],[f_50]) ).
tff(c_2063,plain,
! [X21_196,X1_197,X21_198] :
( ~ p2(f3(X21_196),X1_197)
| p2(X1_197,f3(X21_198))
| ~ p5(c7,X21_198,X21_196) ),
inference(resolution,[status(thm)],[c_1932,c_18]) ).
tff(c_2631,plain,
! [X7_211,X21_212,X6_213] :
( p2(f3(X7_211),f3(X21_212))
| ~ p5(c7,X21_212,X6_213)
| ~ p2(X6_213,X7_211) ),
inference(resolution,[status(thm)],[c_14,c_2063]) ).
tff(c_3035,plain,
! [X7_224] :
( p2(f3(X7_224),f3(c10))
| ~ p2(c8,X7_224) ),
inference(resolution,[status(thm)],[c_10,c_2631]) ).
tff(c_49,plain,
! [X0_43,X2_44,X1_45] :
( ~ p2(X0_43,X2_44)
| ~ p2(X0_43,X1_45)
| p2(X1_45,X2_44) ),
inference(cnfTransformation,[status(thm)],[f_50]) ).
tff(c_55,plain,
! [X0_1,X1_45] :
( ~ p2(X0_1,X1_45)
| p2(X1_45,X0_1) ),
inference(resolution,[status(thm)],[c_2,c_49]) ).
tff(c_3085,plain,
! [X7_224] :
( p2(f3(c10),f3(X7_224))
| ~ p2(c8,X7_224) ),
inference(resolution,[status(thm)],[c_3035,c_55]) ).
tff(c_8,plain,
p5(c7,c10,c9),
inference(cnfTransformation,[status(thm)],[f_28]) ).
tff(c_2824,plain,
! [X7_214] :
( p2(f3(X7_214),f3(c10))
| ~ p2(c9,X7_214) ),
inference(resolution,[status(thm)],[c_8,c_2631]) ).
tff(c_3246,plain,
! [X7_231] :
( p2(f3(c10),f3(X7_231))
| ~ p2(c9,X7_231) ),
inference(resolution,[status(thm)],[c_2824,c_55]) ).
tff(c_4,plain,
! [X8_2] : p4(X8_2,X8_2),
inference(cnfTransformation,[status(thm)],[f_25]) ).
tff(c_180,plain,
! [X18_74,X16_75,X19_79,X15_76,X20_77,X17_78] :
( ~ p5(X20_77,X18_74,X19_79)
| ~ p4(X20_77,X15_76)
| ~ p2(X19_79,X17_78)
| ~ p2(X18_74,X16_75)
| p5(X15_76,X16_75,X17_78) ),
inference(cnfTransformation,[status(thm)],[f_105]) ).
tff(c_526,plain,
! [X15_114,X21_115,X17_116,X16_117] :
( ~ p4(c7,X15_114)
| ~ p2(f3(X21_115),X17_116)
| ~ p2(X21_115,X16_117)
| p5(X15_114,X16_117,X17_116) ),
inference(resolution,[status(thm)],[c_12,c_180]) ).
tff(c_545,plain,
! [X15_114,X21_115,X16_117] :
( ~ p4(c7,X15_114)
| ~ p2(X21_115,X16_117)
| p5(X15_114,X16_117,f3(X21_115)) ),
inference(resolution,[status(thm)],[c_2,c_526]) ).
tff(c_121,plain,
! [X12_63,X21_64] :
( ~ p5(c7,X12_63,X21_64)
| p5(c7,X12_63,f3(X21_64)) ),
inference(resolution,[status(thm)],[c_12,c_82]) ).
tff(c_22,plain,
! [X11_14,X14_17,X13_16,X12_15] :
( ~ p5(X11_14,X14_17,X13_16)
| ~ p5(X11_14,X12_15,X14_17)
| p5(X11_14,X12_15,X13_16) ),
inference(cnfTransformation,[status(thm)],[f_66]) ).
tff(c_760,plain,
! [X12_133,X12_134,X21_135] :
( ~ p5(c7,X12_133,X12_134)
| p5(c7,X12_133,f3(X21_135))
| ~ p5(c7,X12_134,X21_135) ),
inference(resolution,[status(thm)],[c_121,c_22]) ).
tff(c_843,plain,
! [X21_138,X21_139] :
( p5(c7,X21_138,f3(X21_139))
| ~ p5(c7,f3(X21_138),X21_139) ),
inference(resolution,[status(thm)],[c_12,c_760]) ).
tff(c_847,plain,
! [X21_138,X21_115] :
( p5(c7,X21_138,f3(f3(X21_115)))
| ~ p4(c7,c7)
| ~ p2(X21_115,f3(X21_138)) ),
inference(resolution,[status(thm)],[c_545,c_843]) ).
tff(c_874,plain,
! [X21_138,X21_115] :
( p5(c7,X21_138,f3(f3(X21_115)))
| ~ p2(X21_115,f3(X21_138)) ),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_847]) ).
tff(c_2105,plain,
! [X21_200,X21_201] :
( p5(c7,X21_200,f3(f3(X21_201)))
| ~ p2(X21_201,f3(X21_200)) ),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_847]) ).
tff(c_16,plain,
! [X26_7] :
( ~ p5(c7,c9,X26_7)
| ~ p5(c7,c8,X26_7) ),
inference(cnfTransformation,[status(thm)],[f_42]) ).
tff(c_2349,plain,
! [X21_206] :
( ~ p5(c7,c8,f3(f3(X21_206)))
| ~ p2(X21_206,f3(c9)) ),
inference(resolution,[status(thm)],[c_2105,c_16]) ).
tff(c_2381,plain,
! [X21_115] :
( ~ p2(X21_115,f3(c9))
| ~ p2(X21_115,f3(c8)) ),
inference(resolution,[status(thm)],[c_874,c_2349]) ).
tff(c_3257,plain,
( ~ p2(f3(c10),f3(c8))
| ~ p2(c9,c9) ),
inference(resolution,[status(thm)],[c_3246,c_2381]) ).
tff(c_3298,plain,
~ p2(f3(c10),f3(c8)),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_3257]) ).
tff(c_3362,plain,
~ p2(c8,c8),
inference(resolution,[status(thm)],[c_3085,c_3298]) ).
tff(c_3385,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_3362]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SYN558-1 : TPTP v8.1.2. Released v2.5.0.
% 0.14/0.14 % 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
% 0.14/0.35 % Computer : n016.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Thu Aug 3 17:35:53 EDT 2023
% 0.20/0.35 % CPUTime :
% 6.04/2.59 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 6.04/2.60
% 6.04/2.60 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 6.35/2.64
% 6.35/2.64 Inference rules
% 6.35/2.64 ----------------------
% 6.35/2.64 #Ref : 0
% 6.35/2.64 #Sup : 750
% 6.35/2.64 #Fact : 0
% 6.35/2.64 #Define : 0
% 6.35/2.64 #Split : 4
% 6.35/2.64 #Chain : 0
% 6.35/2.64 #Close : 0
% 6.35/2.64
% 6.35/2.64 Ordering : KBO
% 6.35/2.64
% 6.35/2.64 Simplification rules
% 6.35/2.64 ----------------------
% 6.35/2.64 #Subsume : 262
% 6.35/2.64 #Demod : 245
% 6.35/2.64 #Tautology : 6
% 6.35/2.64 #SimpNegUnit : 0
% 6.35/2.64 #BackRed : 0
% 6.35/2.64
% 6.35/2.64 #Partial instantiations: 0
% 6.35/2.64 #Strategies tried : 1
% 6.35/2.64
% 6.35/2.64 Timing (in seconds)
% 6.35/2.64 ----------------------
% 6.35/2.64 Preprocessing : 0.44
% 6.35/2.64 Parsing : 0.25
% 6.35/2.64 CNF conversion : 0.02
% 6.35/2.64 Main loop : 0.98
% 6.35/2.64 Inferencing : 0.35
% 6.35/2.64 Reduction : 0.26
% 6.35/2.64 Demodulation : 0.17
% 6.35/2.64 BG Simplification : 0.03
% 6.35/2.64 Subsumption : 0.28
% 6.35/2.64 Abstraction : 0.03
% 6.35/2.64 MUC search : 0.00
% 6.35/2.64 Cooper : 0.00
% 6.35/2.64 Total : 1.48
% 6.35/2.64 Index Insertion : 0.00
% 6.35/2.64 Index Deletion : 0.00
% 6.35/2.64 Index Matching : 0.00
% 6.35/2.64 BG Taut test : 0.00
%------------------------------------------------------------------------------