TSTP Solution File: SYN652-1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SYN652-1 : 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 : n022.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 11:11:31 EDT 2023
% Result : Unsatisfiable 14.73s 6.10s
% Output : CNFRefutation 14.73s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 46
% Syntax : Number of formulae : 74 ( 18 unt; 37 typ; 0 def)
% Number of atoms : 71 ( 0 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 71 ( 37 ~; 34 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 52 ( 26 >; 26 *; 0 +; 0 <<)
% Number of predicates : 17 ( 16 usr; 1 prp; 0-2 aty)
% Number of functors : 21 ( 21 usr; 11 con; 0-2 aty)
% Number of variables : 62 (; 62 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ p9 > p7 > p6 > p4 > p3 > p27 > p25 > p23 > p21 > p2 > p19 > p18 > p16 > p14 > p12 > p11 > f8 > f5 > f26 > f24 > f22 > f20 > f17 > f15 > f13 > f10 > #nlpp > c38 > c37 > c36 > c35 > c34 > c33 > c32 > c31 > c30 > c29 > c28
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(f5,type,
f5: ( $i * $i ) > $i ).
tff(p4,type,
p4: ( $i * $i ) > $o ).
tff(f26,type,
f26: ( $i * $i ) > $i ).
tff(f22,type,
f22: ( $i * $i ) > $i ).
tff(p23,type,
p23: ( $i * $i ) > $o ).
tff(c37,type,
c37: $i ).
tff(p16,type,
p16: ( $i * $i ) > $o ).
tff(f13,type,
f13: ( $i * $i ) > $i ).
tff(p2,type,
p2: ( $i * $i ) > $o ).
tff(f24,type,
f24: ( $i * $i ) > $i ).
tff(c34,type,
c34: $i ).
tff(p21,type,
p21: ( $i * $i ) > $o ).
tff(f17,type,
f17: ( $i * $i ) > $i ).
tff(p11,type,
p11: ( $i * $i ) > $o ).
tff(c32,type,
c32: $i ).
tff(p27,type,
p27: ( $i * $i ) > $o ).
tff(p3,type,
p3: ( $i * $i ) > $o ).
tff(c38,type,
c38: $i ).
tff(f8,type,
f8: ( $i * $i ) > $i ).
tff(c36,type,
c36: $i ).
tff(p19,type,
p19: ( $i * $i ) > $o ).
tff(p25,type,
p25: ( $i * $i ) > $o ).
tff(c29,type,
c29: $i ).
tff(p14,type,
p14: ( $i * $i ) > $o ).
tff(c30,type,
c30: $i ).
tff(p6,type,
p6: ( $i * $i ) > $o ).
tff(f10,type,
f10: ( $i * $i ) > $i ).
tff(c35,type,
c35: $i ).
tff(f15,type,
f15: ( $i * $i ) > $i ).
tff(c31,type,
c31: $i ).
tff(c28,type,
c28: $i ).
tff(p7,type,
p7: ( $i * $i ) > $o ).
tff(p12,type,
p12: ( $i * $i ) > $o ).
tff(p9,type,
p9: ( $i * $i ) > $o ).
tff(c33,type,
c33: $i ).
tff(p18,type,
p18: ( $i * $i ) > $o ).
tff(f20,type,
f20: ( $i * $i ) > $i ).
tff(f_49,axiom,
! [X6] : p14(X6,X6),
file(unknown,unknown) ).
tff(f_31,axiom,
! [X53] : p4(X53,X53),
file(unknown,unknown) ).
tff(f_52,axiom,
p4(c34,f5(c35,c32)),
file(unknown,unknown) ).
tff(f_95,axiom,
! [X54,X55,X53] :
( p4(X54,X55)
| ~ p4(X53,X54)
| ~ p4(X53,X55) ),
file(unknown,unknown) ).
tff(f_236,axiom,
! [X56,X57,X58,X59] :
( p4(f15(X56,X57),f15(X58,X59))
| ~ p14(X56,X58)
| ~ p4(X57,X59) ),
file(unknown,unknown) ).
tff(f_177,axiom,
! [X60,X61] : p4(f15(f17(c36,X60),f5(c35,X61)),f5(X60,X61)),
file(unknown,unknown) ).
tff(f_53,axiom,
p27(f8(f10(c28,f13(c29,c30)),c32),c33),
file(unknown,unknown) ).
tff(f_273,axiom,
! [X73,X74] :
( p4(f5(c31,X73),f5(c31,X74))
| ~ p27(f8(f10(c28,f13(c29,c30)),X73),X74) ),
file(unknown,unknown) ).
tff(f_55,axiom,
~ p4(f5(c31,c33),f15(f17(c36,c31),c34)),
file(unknown,unknown) ).
tff(c_28,plain,
! [X6_14] : p14(X6_14,X6_14),
inference(cnfTransformation,[status(thm)],[f_49]) ).
tff(c_10,plain,
! [X53_5] : p4(X53_5,X53_5),
inference(cnfTransformation,[status(thm)],[f_31]) ).
tff(c_32,plain,
p4(c34,f5(c35,c32)),
inference(cnfTransformation,[status(thm)],[f_52]) ).
tff(c_141,plain,
! [X53_145,X55_146,X54_147] :
( ~ p4(X53_145,X55_146)
| ~ p4(X53_145,X54_147)
| p4(X54_147,X55_146) ),
inference(cnfTransformation,[status(thm)],[f_95]) ).
tff(c_153,plain,
! [X53_150,X54_151] :
( ~ p4(X53_150,X54_151)
| p4(X54_151,X53_150) ),
inference(resolution,[status(thm)],[c_10,c_141]) ).
tff(c_158,plain,
p4(f5(c35,c32),c34),
inference(resolution,[status(thm)],[c_32,c_153]) ).
tff(c_82,plain,
! [X57_88,X59_90,X56_87,X58_89] :
( ~ p4(X57_88,X59_90)
| ~ p14(X56_87,X58_89)
| p4(f15(X56_87,X57_88),f15(X58_89,X59_90)) ),
inference(cnfTransformation,[status(thm)],[f_236]) ).
tff(c_563,plain,
! [X57_252,X59_253,X56_254,X58_255] :
( ~ p4(X57_252,X59_253)
| ~ p14(X56_254,X58_255)
| p4(f15(X56_254,X57_252),f15(X58_255,X59_253)) ),
inference(cnfTransformation,[status(thm)],[f_236]) ).
tff(c_46,plain,
! [X53_30,X55_29,X54_28] :
( ~ p4(X53_30,X55_29)
| ~ p4(X53_30,X54_28)
| p4(X54_28,X55_29) ),
inference(cnfTransformation,[status(thm)],[f_95]) ).
tff(c_2668,plain,
! [X54_399,X57_403,X56_402,X59_401,X58_400] :
( ~ p4(f15(X56_402,X57_403),X54_399)
| p4(X54_399,f15(X58_400,X59_401))
| ~ p4(X57_403,X59_401)
| ~ p14(X56_402,X58_400) ),
inference(resolution,[status(thm)],[c_563,c_46]) ).
tff(c_9087,plain,
! [X58_598,X59_596,X59_597,X58_595,X56_599,X57_594] :
( p4(f15(X58_595,X59_596),f15(X58_598,X59_597))
| ~ p4(X57_594,X59_597)
| ~ p14(X56_599,X58_598)
| ~ p4(X57_594,X59_596)
| ~ p14(X56_599,X58_595) ),
inference(resolution,[status(thm)],[c_82,c_2668]) ).
tff(c_35626,plain,
! [X58_1137,X59_1138,X58_1139,X56_1140] :
( p4(f15(X58_1137,X59_1138),f15(X58_1139,c34))
| ~ p14(X56_1140,X58_1139)
| ~ p4(f5(c35,c32),X59_1138)
| ~ p14(X56_1140,X58_1137) ),
inference(resolution,[status(thm)],[c_158,c_9087]) ).
tff(c_36184,plain,
! [X58_1154,X59_1155,X6_1156] :
( p4(f15(X58_1154,X59_1155),f15(X6_1156,c34))
| ~ p4(f5(c35,c32),X59_1155)
| ~ p14(X6_1156,X58_1154) ),
inference(resolution,[status(thm)],[c_28,c_35626]) ).
tff(c_295,plain,
! [X60_205,X61_206] : p4(f15(f17(c36,X60_205),f5(c35,X61_206)),f5(X60_205,X61_206)),
inference(cnfTransformation,[status(thm)],[f_177]) ).
tff(c_147,plain,
! [X53_5,X54_147] :
( ~ p4(X53_5,X54_147)
| p4(X54_147,X53_5) ),
inference(resolution,[status(thm)],[c_10,c_141]) ).
tff(c_300,plain,
! [X60_205,X61_206] : p4(f5(X60_205,X61_206),f15(f17(c36,X60_205),f5(c35,X61_206))),
inference(resolution,[status(thm)],[c_295,c_147]) ).
tff(c_34,plain,
p27(f8(f10(c28,f13(c29,c30)),c32),c33),
inference(cnfTransformation,[status(thm)],[f_53]) ).
tff(c_592,plain,
! [X73_264,X74_265] :
( ~ p27(f8(f10(c28,f13(c29,c30)),X73_264),X74_265)
| p4(f5(c31,X73_264),f5(c31,X74_265)) ),
inference(cnfTransformation,[status(thm)],[f_273]) ).
tff(c_596,plain,
p4(f5(c31,c32),f5(c31,c33)),
inference(resolution,[status(thm)],[c_34,c_592]) ).
tff(c_616,plain,
! [X54_266] :
( ~ p4(f5(c31,c32),X54_266)
| p4(X54_266,f5(c31,c33)) ),
inference(resolution,[status(thm)],[c_596,c_46]) ).
tff(c_644,plain,
p4(f15(f17(c36,c31),f5(c35,c32)),f5(c31,c33)),
inference(resolution,[status(thm)],[c_300,c_616]) ).
tff(c_697,plain,
! [X54_28] :
( ~ p4(f15(f17(c36,c31),f5(c35,c32)),X54_28)
| p4(X54_28,f5(c31,c33)) ),
inference(resolution,[status(thm)],[c_644,c_46]) ).
tff(c_36268,plain,
! [X6_1156] :
( p4(f15(X6_1156,c34),f5(c31,c33))
| ~ p4(f5(c35,c32),f5(c35,c32))
| ~ p14(X6_1156,f17(c36,c31)) ),
inference(resolution,[status(thm)],[c_36184,c_697]) ).
tff(c_36462,plain,
! [X6_1175] :
( p4(f15(X6_1175,c34),f5(c31,c33))
| ~ p14(X6_1175,f17(c36,c31)) ),
inference(demodulation,[status(thm),theory(equality)],[c_10,c_36268]) ).
tff(c_36563,plain,
! [X6_1178] :
( p4(f5(c31,c33),f15(X6_1178,c34))
| ~ p14(X6_1178,f17(c36,c31)) ),
inference(resolution,[status(thm)],[c_36462,c_147]) ).
tff(c_36,plain,
~ p4(f5(c31,c33),f15(f17(c36,c31),c34)),
inference(cnfTransformation,[status(thm)],[f_55]) ).
tff(c_36628,plain,
~ p14(f17(c36,c31),f17(c36,c31)),
inference(resolution,[status(thm)],[c_36563,c_36]) ).
tff(c_36671,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_28,c_36628]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN652-1 : TPTP v8.1.2. Released v2.5.0.
% 0.00/0.13 % 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
% 0.17/0.34 % Computer : n022.cluster.edu
% 0.17/0.34 % Model : x86_64 x86_64
% 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.34 % Memory : 8042.1875MB
% 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.34 % CPULimit : 300
% 0.17/0.34 % WCLimit : 300
% 0.17/0.34 % DateTime : Thu Aug 3 17:19:18 EDT 2023
% 0.17/0.35 % CPUTime :
% 14.73/6.10 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 14.73/6.11
% 14.73/6.11 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 14.73/6.14
% 14.73/6.14 Inference rules
% 14.73/6.14 ----------------------
% 14.73/6.14 #Ref : 0
% 14.73/6.14 #Sup : 8364
% 14.73/6.14 #Fact : 0
% 14.73/6.14 #Define : 0
% 14.73/6.14 #Split : 13
% 14.73/6.14 #Chain : 0
% 14.73/6.14 #Close : 0
% 14.73/6.14
% 14.73/6.14 Ordering : KBO
% 14.73/6.14
% 14.73/6.14 Simplification rules
% 14.73/6.14 ----------------------
% 14.73/6.14 #Subsume : 3701
% 14.73/6.14 #Demod : 3716
% 14.73/6.14 #Tautology : 1056
% 14.73/6.14 #SimpNegUnit : 151
% 14.73/6.14 #BackRed : 0
% 14.73/6.14
% 14.73/6.14 #Partial instantiations: 0
% 14.73/6.14 #Strategies tried : 1
% 14.73/6.14
% 14.73/6.14 Timing (in seconds)
% 14.73/6.14 ----------------------
% 14.73/6.14 Preprocessing : 0.53
% 14.73/6.14 Parsing : 0.30
% 14.73/6.14 CNF conversion : 0.03
% 14.73/6.14 Main loop : 4.56
% 14.73/6.14 Inferencing : 1.15
% 14.73/6.14 Reduction : 1.35
% 14.73/6.14 Demodulation : 0.95
% 14.73/6.14 BG Simplification : 0.06
% 14.73/6.14 Subsumption : 1.70
% 14.73/6.14 Abstraction : 0.09
% 14.73/6.14 MUC search : 0.00
% 14.73/6.14 Cooper : 0.00
% 14.73/6.14 Total : 5.14
% 14.73/6.14 Index Insertion : 0.00
% 14.73/6.15 Index Deletion : 0.00
% 14.73/6.15 Index Matching : 0.00
% 14.73/6.15 BG Taut test : 0.00
%------------------------------------------------------------------------------