TSTP Solution File: SYN668-1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SYN668-1 : 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 : n012.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 11:11:34 EDT 2023
% Result : Unsatisfiable 12.59s 4.71s
% Output : CNFRefutation 12.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 43
% Syntax : Number of formulae : 57 ( 12 unt; 36 typ; 0 def)
% Number of atoms : 36 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 34 ( 19 ~; 15 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 47 ( 26 >; 21 *; 0 +; 0 <<)
% Number of predicates : 16 ( 15 usr; 1 prp; 0-3 aty)
% Number of functors : 21 ( 21 usr; 10 con; 0-2 aty)
% Number of variables : 19 (; 19 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ p23 > p7 > p6 > p3 > p27 > p26 > p25 > p24 > p20 > p2 > p19 > p14 > p12 > p10 > p22 > f21 > f18 > f16 > f15 > f13 > f11 > #nlpp > f9 > f8 > f5 > f4 > f17 > c37 > c36 > c35 > c34 > c33 > c32 > c31 > c30 > c29 > c28
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(f11,type,
f11: ( $i * $i ) > $i ).
tff(c37,type,
c37: $i ).
tff(f13,type,
f13: ( $i * $i ) > $i ).
tff(f17,type,
f17: $i > $i ).
tff(p2,type,
p2: ( $i * $i ) > $o ).
tff(c34,type,
c34: $i ).
tff(p20,type,
p20: ( $i * $i ) > $o ).
tff(p23,type,
p23: ( $i * $i * $i ) > $o ).
tff(c32,type,
c32: $i ).
tff(p22,type,
p22: $i > $o ).
tff(f18,type,
f18: ( $i * $i ) > $i ).
tff(p27,type,
p27: ( $i * $i ) > $o ).
tff(f5,type,
f5: $i > $i ).
tff(p3,type,
p3: ( $i * $i ) > $o ).
tff(c36,type,
c36: $i ).
tff(p19,type,
p19: ( $i * $i ) > $o ).
tff(f9,type,
f9: $i > $i ).
tff(p25,type,
p25: ( $i * $i ) > $o ).
tff(c29,type,
c29: $i ).
tff(p14,type,
p14: ( $i * $i ) > $o ).
tff(p24,type,
p24: ( $i * $i ) > $o ).
tff(c30,type,
c30: $i ).
tff(f8,type,
f8: $i > $i ).
tff(p10,type,
p10: ( $i * $i ) > $o ).
tff(f4,type,
f4: $i > $i ).
tff(f16,type,
f16: ( $i * $i ) > $i ).
tff(p6,type,
p6: ( $i * $i ) > $o ).
tff(c35,type,
c35: $i ).
tff(f15,type,
f15: ( $i * $i ) > $i ).
tff(c31,type,
c31: $i ).
tff(c28,type,
c28: $i ).
tff(p26,type,
p26: ( $i * $i ) > $o ).
tff(f21,type,
f21: ( $i * $i ) > $i ).
tff(p7,type,
p7: ( $i * $i ) > $o ).
tff(p12,type,
p12: ( $i * $i ) > $o ).
tff(c33,type,
c33: $i ).
tff(f_42,axiom,
p25(c33,c36),
file(unknown,unknown) ).
tff(f_44,axiom,
p25(c32,c33),
file(unknown,unknown) ).
tff(f_270,axiom,
! [X36] :
( p2(f11(f4(X36),c34),f11(f4(c32),c34))
| ~ p25(X36,c36)
| ~ p25(c32,X36) ),
file(unknown,unknown) ).
tff(f_34,axiom,
! [X28] : p2(X28,X28),
file(unknown,unknown) ).
tff(f_132,axiom,
! [X29,X30,X28] :
( p2(X29,X30)
| ~ p2(X28,X29)
| ~ p2(X28,X30) ),
file(unknown,unknown) ).
tff(f_201,axiom,
p2(f11(f4(c32),c34),f18(f11(f4(c33),c34),f9(f17(c31)))),
file(unknown,unknown) ).
tff(f_51,axiom,
! [X96] : ~ p2(X96,f18(X96,f9(f17(c31)))),
file(unknown,unknown) ).
tff(c_24,plain,
p25(c33,c36),
inference(cnfTransformation,[status(thm)],[f_42]) ).
tff(c_28,plain,
p25(c32,c33),
inference(cnfTransformation,[status(thm)],[f_44]) ).
tff(c_1540,plain,
! [X36_355] :
( ~ p25(c32,X36_355)
| ~ p25(X36_355,c36)
| p2(f11(f4(X36_355),c34),f11(f4(c32),c34)) ),
inference(cnfTransformation,[status(thm)],[f_270]) ).
tff(c_14,plain,
! [X28_6] : p2(X28_6,X28_6),
inference(cnfTransformation,[status(thm)],[f_34]) ).
tff(c_225,plain,
! [X28_166,X30_167,X29_168] :
( ~ p2(X28_166,X30_167)
| ~ p2(X28_166,X29_168)
| p2(X29_168,X30_167) ),
inference(cnfTransformation,[status(thm)],[f_132]) ).
tff(c_237,plain,
! [X28_6,X29_168] :
( ~ p2(X28_6,X29_168)
| p2(X29_168,X28_6) ),
inference(resolution,[status(thm)],[c_14,c_225]) ).
tff(c_13416,plain,
! [X36_1147] :
( p2(f11(f4(c32),c34),f11(f4(X36_1147),c34))
| ~ p25(c32,X36_1147)
| ~ p25(X36_1147,c36) ),
inference(resolution,[status(thm)],[c_1540,c_237]) ).
tff(c_76,plain,
p2(f11(f4(c32),c34),f18(f11(f4(c33),c34),f9(f17(c31)))),
inference(cnfTransformation,[status(thm)],[f_201]) ).
tff(c_60,plain,
! [X28_41,X30_40,X29_39] :
( ~ p2(X28_41,X30_40)
| ~ p2(X28_41,X29_39)
| p2(X29_39,X30_40) ),
inference(cnfTransformation,[status(thm)],[f_132]) ).
tff(c_4691,plain,
! [X29_636] :
( ~ p2(f11(f4(c32),c34),X29_636)
| p2(X29_636,f18(f11(f4(c33),c34),f9(f17(c31)))) ),
inference(resolution,[status(thm)],[c_76,c_60]) ).
tff(c_36,plain,
! [X96_11] : ~ p2(X96_11,f18(X96_11,f9(f17(c31)))),
inference(cnfTransformation,[status(thm)],[f_51]) ).
tff(c_4922,plain,
~ p2(f11(f4(c32),c34),f11(f4(c33),c34)),
inference(resolution,[status(thm)],[c_4691,c_36]) ).
tff(c_13524,plain,
( ~ p25(c32,c33)
| ~ p25(c33,c36) ),
inference(resolution,[status(thm)],[c_13416,c_4922]) ).
tff(c_13632,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_24,c_28,c_13524]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.16 % Problem : SYN668-1 : TPTP v8.1.2. Released v2.5.0.
% 0.12/0.17 % 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
% 0.15/0.39 % Computer : n012.cluster.edu
% 0.15/0.39 % Model : x86_64 x86_64
% 0.15/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.39 % Memory : 8042.1875MB
% 0.15/0.39 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.39 % CPULimit : 300
% 0.15/0.39 % WCLimit : 300
% 0.15/0.39 % DateTime : Thu Aug 3 17:20:07 EDT 2023
% 0.15/0.39 % CPUTime :
% 12.59/4.71 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 12.59/4.72
% 12.59/4.72 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 12.59/4.74
% 12.59/4.74 Inference rules
% 12.59/4.74 ----------------------
% 12.59/4.74 #Ref : 0
% 12.59/4.74 #Sup : 4171
% 12.59/4.74 #Fact : 0
% 12.59/4.74 #Define : 0
% 12.59/4.74 #Split : 2
% 12.59/4.74 #Chain : 0
% 12.59/4.74 #Close : 0
% 12.59/4.74
% 12.59/4.74 Ordering : KBO
% 12.59/4.74
% 12.59/4.74 Simplification rules
% 12.59/4.74 ----------------------
% 12.59/4.74 #Subsume : 440
% 12.59/4.74 #Demod : 109
% 12.59/4.74 #Tautology : 52
% 12.59/4.74 #SimpNegUnit : 0
% 12.59/4.74 #BackRed : 0
% 12.59/4.74
% 12.59/4.74 #Partial instantiations: 0
% 12.59/4.74 #Strategies tried : 1
% 12.59/4.74
% 12.59/4.74 Timing (in seconds)
% 12.59/4.74 ----------------------
% 12.59/4.75 Preprocessing : 0.55
% 12.59/4.75 Parsing : 0.31
% 12.59/4.75 CNF conversion : 0.04
% 12.59/4.75 Main loop : 3.10
% 12.59/4.75 Inferencing : 0.69
% 12.59/4.75 Reduction : 0.73
% 12.59/4.75 Demodulation : 0.49
% 12.59/4.75 BG Simplification : 0.06
% 12.59/4.75 Subsumption : 1.37
% 12.59/4.75 Abstraction : 0.07
% 12.59/4.75 MUC search : 0.00
% 12.59/4.75 Cooper : 0.00
% 12.59/4.75 Total : 3.70
% 12.59/4.75 Index Insertion : 0.00
% 12.59/4.75 Index Deletion : 0.00
% 12.59/4.75 Index Matching : 0.00
% 12.59/4.75 BG Taut test : 0.00
%------------------------------------------------------------------------------