TSTP Solution File: SYN579-1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SYN579-1 : 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 : n005.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 11:11:21 EDT 2023
% Result : Unsatisfiable 16.36s 6.56s
% Output : CNFRefutation 16.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 28
% Syntax : Number of formulae : 61 ( 17 unt; 15 typ; 0 def)
% Number of atoms : 104 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 121 ( 63 ~; 58 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 17 ( 10 >; 7 *; 0 +; 0 <<)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-2 aty)
% Number of variables : 60 (; 60 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ p9 > p7 > p3 > p2 > p11 > p10 > f8 > #nlpp > f6 > f5 > f4 > c16 > c15 > c14 > c13 > c12
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(c12,type,
c12: $i ).
tff(c16,type,
c16: $i ).
tff(p2,type,
p2: ( $i * $i ) > $o ).
tff(c14,type,
c14: $i ).
tff(p11,type,
p11: ( $i * $i ) > $o ).
tff(c15,type,
c15: $i ).
tff(f5,type,
f5: $i > $i ).
tff(f6,type,
f6: $i > $i ).
tff(p3,type,
p3: ( $i * $i ) > $o ).
tff(f8,type,
f8: ( $i * $i ) > $i ).
tff(p10,type,
p10: ( $i * $i ) > $o ).
tff(f4,type,
f4: $i > $i ).
tff(c13,type,
c13: $i ).
tff(p7,type,
p7: ( $i * $i ) > $o ).
tff(p9,type,
p9: ( $i * $i ) > $o ).
tff(f_29,axiom,
! [X7] : p2(X7,X7),
file(unknown,unknown) ).
tff(f_31,axiom,
p11(c14,c15),
file(unknown,unknown) ).
tff(f_32,axiom,
p2(c16,f5(c14)),
file(unknown,unknown) ).
tff(f_93,axiom,
! [X8,X9,X7] :
( p2(X8,X9)
| ~ p2(X7,X8)
| ~ p2(X7,X9) ),
file(unknown,unknown) ).
tff(f_25,axiom,
! [X21] : p7(X21,X21),
file(unknown,unknown) ).
tff(f_30,axiom,
p9(c12,c13),
file(unknown,unknown) ).
tff(f_46,axiom,
! [X32] :
( p9(X32,f6(c16))
| ~ p9(X32,c13) ),
file(unknown,unknown) ).
tff(f_133,axiom,
! [X33,X34] :
( p9(f8(X33,X34),X33)
| p9(f8(X33,X34),f6(X34))
| ~ p11(X34,c15)
| ~ p9(c12,X33) ),
file(unknown,unknown) ).
tff(f_41,axiom,
! [X32] :
( p9(X32,c13)
| ~ p9(X32,f6(c16)) ),
file(unknown,unknown) ).
tff(f_56,axiom,
! [X18,X19] :
( p3(f6(X18),f6(X19))
| ~ p2(X18,X19) ),
file(unknown,unknown) ).
tff(f_115,axiom,
! [X28,X29,X31,X30] :
( p9(X28,X29)
| ~ p7(X31,X28)
| ~ p9(X31,X30)
| ~ p3(X30,X29) ),
file(unknown,unknown) ).
tff(f_36,axiom,
! [X20] : p3(f6(f5(X20)),f6(X20)),
file(unknown,unknown) ).
tff(f_145,axiom,
! [X34,X33] :
( ~ p11(X34,c15)
| ~ p9(c12,X33)
| ~ p9(f8(X33,X34),X33)
| ~ p9(f8(X33,X34),f6(X34)) ),
file(unknown,unknown) ).
tff(c_8,plain,
! [X7_4] : p2(X7_4,X7_4),
inference(cnfTransformation,[status(thm)],[f_29]) ).
tff(c_12,plain,
p11(c14,c15),
inference(cnfTransformation,[status(thm)],[f_31]) ).
tff(c_14,plain,
p2(c16,f5(c14)),
inference(cnfTransformation,[status(thm)],[f_32]) ).
tff(c_96,plain,
! [X7_70,X9_71,X8_72] :
( ~ p2(X7_70,X9_71)
| ~ p2(X7_70,X8_72)
| p2(X8_72,X9_71) ),
inference(cnfTransformation,[status(thm)],[f_93]) ).
tff(c_104,plain,
! [X8_72] :
( ~ p2(c16,X8_72)
| p2(X8_72,f5(c14)) ),
inference(resolution,[status(thm)],[c_14,c_96]) ).
tff(c_4,plain,
! [X21_2] : p7(X21_2,X21_2),
inference(cnfTransformation,[status(thm)],[f_25]) ).
tff(c_10,plain,
p9(c12,c13),
inference(cnfTransformation,[status(thm)],[f_30]) ).
tff(c_22,plain,
! [X32_8] :
( ~ p9(X32_8,c13)
| p9(X32_8,f6(c16)) ),
inference(cnfTransformation,[status(thm)],[f_46]) ).
tff(c_423,plain,
! [X33_115,X34_116] :
( ~ p9(c12,X33_115)
| ~ p11(X34_116,c15)
| p9(f8(X33_115,X34_116),f6(X34_116))
| p9(f8(X33_115,X34_116),X33_115) ),
inference(cnfTransformation,[status(thm)],[f_133]) ).
tff(c_20,plain,
! [X32_7] :
( ~ p9(X32_7,f6(c16))
| p9(X32_7,c13) ),
inference(cnfTransformation,[status(thm)],[f_41]) ).
tff(c_437,plain,
! [X34_116] :
( p9(f8(f6(c16),X34_116),c13)
| ~ p9(c12,f6(c16))
| ~ p11(X34_116,c15)
| p9(f8(f6(c16),X34_116),f6(X34_116)) ),
inference(resolution,[status(thm)],[c_423,c_20]) ).
tff(c_2959,plain,
~ p9(c12,f6(c16)),
inference(splitLeft,[status(thm)],[c_437]) ).
tff(c_2962,plain,
~ p9(c12,c13),
inference(resolution,[status(thm)],[c_22,c_2959]) ).
tff(c_2966,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_10,c_2962]) ).
tff(c_2968,plain,
p9(c12,f6(c16)),
inference(splitRight,[status(thm)],[c_437]) ).
tff(c_26,plain,
! [X18_11,X19_12] :
( ~ p2(X18_11,X19_12)
| p3(f6(X18_11),f6(X19_12)) ),
inference(cnfTransformation,[status(thm)],[f_56]) ).
tff(c_203,plain,
! [X30_86,X29_87,X31_88,X28_89] :
( ~ p3(X30_86,X29_87)
| ~ p9(X31_88,X30_86)
| ~ p7(X31_88,X28_89)
| p9(X28_89,X29_87) ),
inference(cnfTransformation,[status(thm)],[f_115]) ).
tff(c_221,plain,
! [X31_88,X18_11,X28_89,X19_12] :
( ~ p9(X31_88,f6(X18_11))
| ~ p7(X31_88,X28_89)
| p9(X28_89,f6(X19_12))
| ~ p2(X18_11,X19_12) ),
inference(resolution,[status(thm)],[c_26,c_203]) ).
tff(c_3311,plain,
! [X28_331,X19_332] :
( ~ p7(c12,X28_331)
| p9(X28_331,f6(X19_332))
| ~ p2(c16,X19_332) ),
inference(resolution,[status(thm)],[c_2968,c_221]) ).
tff(c_18,plain,
! [X20_6] : p3(f6(f5(X20_6)),f6(X20_6)),
inference(cnfTransformation,[status(thm)],[f_36]) ).
tff(c_222,plain,
! [X31_88,X20_6,X28_89] :
( ~ p9(X31_88,f6(f5(X20_6)))
| ~ p7(X31_88,X28_89)
| p9(X28_89,f6(X20_6)) ),
inference(resolution,[status(thm)],[c_18,c_203]) ).
tff(c_28879,plain,
! [X28_811,X28_812,X20_813] :
( ~ p7(X28_811,X28_812)
| p9(X28_812,f6(X20_813))
| ~ p7(c12,X28_811)
| ~ p2(c16,f5(X20_813)) ),
inference(resolution,[status(thm)],[c_3311,c_222]) ).
tff(c_28889,plain,
! [X21_814,X20_815] :
( p9(X21_814,f6(X20_815))
| ~ p7(c12,X21_814)
| ~ p2(c16,f5(X20_815)) ),
inference(resolution,[status(thm)],[c_4,c_28879]) ).
tff(c_44,plain,
! [X33_39,X34_40] :
( ~ p9(c12,X33_39)
| ~ p11(X34_40,c15)
| p9(f8(X33_39,X34_40),f6(X34_40))
| p9(f8(X33_39,X34_40),X33_39) ),
inference(cnfTransformation,[status(thm)],[f_133]) ).
tff(c_422,plain,
! [X34_40] :
( ~ p9(c12,f6(X34_40))
| ~ p11(X34_40,c15)
| p9(f8(f6(X34_40),X34_40),f6(X34_40)) ),
inference(factorization,[status(thm),theory(equality)],[c_44]) ).
tff(c_1623,plain,
! [X34_216] :
( ~ p9(c12,f6(X34_216))
| ~ p11(X34_216,c15)
| p9(f8(f6(X34_216),X34_216),f6(X34_216)) ),
inference(factorization,[status(thm),theory(equality)],[c_44]) ).
tff(c_46,plain,
! [X33_42,X34_41] :
( ~ p9(f8(X33_42,X34_41),f6(X34_41))
| ~ p9(f8(X33_42,X34_41),X33_42)
| ~ p9(c12,X33_42)
| ~ p11(X34_41,c15) ),
inference(cnfTransformation,[status(thm)],[f_145]) ).
tff(c_4519,plain,
! [X34_392] :
( ~ p9(f8(f6(X34_392),X34_392),f6(X34_392))
| ~ p9(c12,f6(X34_392))
| ~ p11(X34_392,c15) ),
inference(resolution,[status(thm)],[c_1623,c_46]) ).
tff(c_4555,plain,
! [X34_40] :
( ~ p9(c12,f6(X34_40))
| ~ p11(X34_40,c15) ),
inference(resolution,[status(thm)],[c_422,c_4519]) ).
tff(c_28895,plain,
! [X20_815] :
( ~ p11(X20_815,c15)
| ~ p7(c12,c12)
| ~ p2(c16,f5(X20_815)) ),
inference(resolution,[status(thm)],[c_28889,c_4555]) ).
tff(c_28919,plain,
! [X20_816] :
( ~ p11(X20_816,c15)
| ~ p2(c16,f5(X20_816)) ),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_28895]) ).
tff(c_28941,plain,
( ~ p11(c14,c15)
| ~ p2(c16,c16) ),
inference(resolution,[status(thm)],[c_104,c_28919]) ).
tff(c_28957,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_8,c_12,c_28941]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SYN579-1 : TPTP v8.1.2. Released v2.5.0.
% 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
% 0.13/0.34 % Computer : n005.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Thu Aug 3 17:27:26 EDT 2023
% 0.19/0.34 % CPUTime :
% 16.36/6.56 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 16.36/6.57
% 16.36/6.57 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 16.47/6.60
% 16.47/6.60 Inference rules
% 16.47/6.60 ----------------------
% 16.47/6.60 #Ref : 0
% 16.47/6.60 #Sup : 7358
% 16.47/6.60 #Fact : 2
% 16.47/6.60 #Define : 0
% 16.47/6.60 #Split : 14
% 16.47/6.60 #Chain : 0
% 16.47/6.60 #Close : 0
% 16.47/6.60
% 16.47/6.60 Ordering : KBO
% 16.47/6.60
% 16.47/6.60 Simplification rules
% 16.47/6.60 ----------------------
% 16.47/6.60 #Subsume : 1723
% 16.47/6.60 #Demod : 1558
% 16.47/6.60 #Tautology : 928
% 16.47/6.60 #SimpNegUnit : 18
% 16.47/6.60 #BackRed : 0
% 16.47/6.60
% 16.47/6.60 #Partial instantiations: 0
% 16.47/6.60 #Strategies tried : 1
% 16.47/6.60
% 16.47/6.60 Timing (in seconds)
% 16.47/6.60 ----------------------
% 16.47/6.60 Preprocessing : 0.46
% 16.47/6.60 Parsing : 0.26
% 16.47/6.60 CNF conversion : 0.03
% 16.47/6.60 Main loop : 5.02
% 16.47/6.60 Inferencing : 1.08
% 16.47/6.60 Reduction : 1.21
% 16.47/6.60 Demodulation : 0.84
% 16.47/6.60 BG Simplification : 0.06
% 16.47/6.60 Subsumption : 2.32
% 16.47/6.60 Abstraction : 0.08
% 16.47/6.60 MUC search : 0.00
% 16.47/6.60 Cooper : 0.00
% 16.47/6.60 Total : 5.53
% 16.47/6.60 Index Insertion : 0.00
% 16.47/6.60 Index Deletion : 0.00
% 16.47/6.60 Index Matching : 0.00
% 16.47/6.60 BG Taut test : 0.00
%------------------------------------------------------------------------------