TSTP Solution File: SYN630-1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SYN630-1 : 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 11:11:28 EDT 2023
% Result : Unsatisfiable 11.76s 3.89s
% Output : CNFRefutation 12.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 35
% Syntax : Number of formulae : 46 ( 12 unt; 29 typ; 0 def)
% Number of atoms : 31 ( 0 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 30 ( 16 ~; 14 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 3 avg)
% Maximal term depth : 9 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 37 ( 21 >; 16 *; 0 +; 0 <<)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 23 ( 23 usr; 8 con; 0-2 aty)
% Number of variables : 20 (; 20 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ p6 > p4 > p3 > p22 > p21 > p2 > f8 > f7 > f5 > f20 > f19 > f18 > f15 > f14 > f13 > f12 > #nlpp > f9 > f17 > f16 > f11 > f10 > c30 > c29 > c28 > c27 > c26 > c25 > c24 > c23
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(f5,type,
f5: ( $i * $i ) > $i ).
tff(p4,type,
p4: ( $i * $i ) > $o ).
tff(f19,type,
f19: ( $i * $i ) > $i ).
tff(p22,type,
p22: ( $i * $i ) > $o ).
tff(f12,type,
f12: ( $i * $i ) > $i ).
tff(f13,type,
f13: ( $i * $i ) > $i ).
tff(f17,type,
f17: $i > $i ).
tff(p2,type,
p2: ( $i * $i ) > $o ).
tff(f14,type,
f14: ( $i * $i ) > $i ).
tff(c26,type,
c26: $i ).
tff(p21,type,
p21: ( $i * $i ) > $o ).
tff(c23,type,
c23: $i ).
tff(c27,type,
c27: $i ).
tff(f7,type,
f7: ( $i * $i ) > $i ).
tff(f16,type,
f16: $i > $i ).
tff(f18,type,
f18: ( $i * $i ) > $i ).
tff(p3,type,
p3: ( $i * $i ) > $o ).
tff(f8,type,
f8: ( $i * $i ) > $i ).
tff(c25,type,
c25: $i ).
tff(f9,type,
f9: $i > $i ).
tff(c29,type,
c29: $i ).
tff(c30,type,
c30: $i ).
tff(p6,type,
p6: ( $i * $i ) > $o ).
tff(f15,type,
f15: ( $i * $i ) > $i ).
tff(c28,type,
c28: $i ).
tff(f11,type,
f11: $i > $i ).
tff(f20,type,
f20: ( $i * $i ) > $i ).
tff(c24,type,
c24: $i ).
tff(f10,type,
f10: $i > $i ).
tff(f_31,axiom,
p21(c27,f12(f9(f10(f11(c29))),c24)),
file(unknown,unknown) ).
tff(f_91,axiom,
p22(f12(f9(f10(f11(c29))),f18(c24,f9(f11(c29)))),c27),
file(unknown,unknown) ).
tff(f_30,axiom,
p21(c28,f9(f10(f11(c29)))),
file(unknown,unknown) ).
tff(f_194,axiom,
p3(c26,f13(f15(f17(f16(f9(f11(c29)))),c28),f13(f15(f16(f9(f10(f11(c29)))),c30),f14(f16(c27),f15(f16(f9(f10(f11(c29)))),c25))))),
file(unknown,unknown) ).
tff(f_252,axiom,
! [X22,X23,X24,X21,X20,X19,X18] :
( p4(f5(f7(X19,f8(X20,X21)),X18),X23)
| ~ p21(X22,f9(f10(f11(c29))))
| ~ p21(X23,f12(f9(f10(f11(c29))),X20))
| ~ p22(f12(f9(f10(f11(c29))),f18(X20,f9(f11(c29)))),X23)
| ~ p3(X18,f13(f15(f17(f16(f9(f11(c29)))),X22),f13(f15(f16(f9(f10(f11(c29)))),X24),f14(f16(X23),f15(f16(f9(f10(f11(c29)))),X21))))) ),
file(unknown,unknown) ).
tff(f_58,axiom,
~ p4(f5(f7(c23,f8(c24,c25)),c26),c27),
file(unknown,unknown) ).
tff(c_12,plain,
p21(c27,f12(f9(f10(f11(c29))),c24)),
inference(cnfTransformation,[status(thm)],[f_31]) ).
tff(c_34,plain,
p22(f12(f9(f10(f11(c29))),f18(c24,f9(f11(c29)))),c27),
inference(cnfTransformation,[status(thm)],[f_91]) ).
tff(c_10,plain,
p21(c28,f9(f10(f11(c29)))),
inference(cnfTransformation,[status(thm)],[f_30]) ).
tff(c_60,plain,
p3(c26,f13(f15(f17(f16(f9(f11(c29)))),c28),f13(f15(f16(f9(f10(f11(c29)))),c30),f14(f16(c27),f15(f16(f9(f10(f11(c29)))),c25))))),
inference(cnfTransformation,[status(thm)],[f_194]) ).
tff(c_1927,plain,
! [X23_410,X20_411,X18_412,X21_407,X22_408,X24_409,X19_406] :
( ~ p3(X18_412,f13(f15(f17(f16(f9(f11(c29)))),X22_408),f13(f15(f16(f9(f10(f11(c29)))),X24_409),f14(f16(X23_410),f15(f16(f9(f10(f11(c29)))),X21_407)))))
| ~ p22(f12(f9(f10(f11(c29))),f18(X20_411,f9(f11(c29)))),X23_410)
| ~ p21(X23_410,f12(f9(f10(f11(c29))),X20_411))
| ~ p21(X22_408,f9(f10(f11(c29))))
| p4(f5(f7(X19_406,f8(X20_411,X21_407)),X18_412),X23_410) ),
inference(cnfTransformation,[status(thm)],[f_252]) ).
tff(c_1929,plain,
! [X20_411,X19_406] :
( ~ p22(f12(f9(f10(f11(c29))),f18(X20_411,f9(f11(c29)))),c27)
| ~ p21(c27,f12(f9(f10(f11(c29))),X20_411))
| ~ p21(c28,f9(f10(f11(c29))))
| p4(f5(f7(X19_406,f8(X20_411,c25)),c26),c27) ),
inference(resolution,[status(thm)],[c_60,c_1927]) ).
tff(c_10540,plain,
! [X20_849,X19_850] :
( ~ p22(f12(f9(f10(f11(c29))),f18(X20_849,f9(f11(c29)))),c27)
| ~ p21(c27,f12(f9(f10(f11(c29))),X20_849))
| p4(f5(f7(X19_850,f8(X20_849,c25)),c26),c27) ),
inference(demodulation,[status(thm),theory(equality)],[c_10,c_1929]) ).
tff(c_10542,plain,
! [X19_850] :
( ~ p21(c27,f12(f9(f10(f11(c29))),c24))
| p4(f5(f7(X19_850,f8(c24,c25)),c26),c27) ),
inference(resolution,[status(thm)],[c_34,c_10540]) ).
tff(c_10545,plain,
! [X19_850] : p4(f5(f7(X19_850,f8(c24,c25)),c26),c27),
inference(demodulation,[status(thm),theory(equality)],[c_12,c_10542]) ).
tff(c_24,plain,
~ p4(f5(f7(c23,f8(c24,c25)),c26),c27),
inference(cnfTransformation,[status(thm)],[f_58]) ).
tff(c_10548,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_10545,c_24]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SYN630-1 : 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
% 0.13/0.35 % Computer : n005.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Thu Aug 3 17:27:56 EDT 2023
% 0.13/0.35 % CPUTime :
% 11.76/3.89 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 11.76/3.89
% 11.76/3.89 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 12.09/3.92
% 12.09/3.92 Inference rules
% 12.09/3.92 ----------------------
% 12.09/3.92 #Ref : 0
% 12.09/3.92 #Sup : 3365
% 12.09/3.92 #Fact : 0
% 12.09/3.92 #Define : 0
% 12.09/3.92 #Split : 1
% 12.09/3.92 #Chain : 0
% 12.09/3.92 #Close : 0
% 12.09/3.92
% 12.09/3.92 Ordering : KBO
% 12.09/3.92
% 12.09/3.92 Simplification rules
% 12.09/3.92 ----------------------
% 12.09/3.92 #Subsume : 241
% 12.09/3.92 #Demod : 12
% 12.09/3.92 #Tautology : 4
% 12.09/3.92 #SimpNegUnit : 0
% 12.09/3.92 #BackRed : 1
% 12.09/3.92
% 12.09/3.92 #Partial instantiations: 0
% 12.09/3.92 #Strategies tried : 1
% 12.09/3.92
% 12.09/3.92 Timing (in seconds)
% 12.09/3.92 ----------------------
% 12.09/3.92 Preprocessing : 0.58
% 12.09/3.92 Parsing : 0.33
% 12.09/3.92 CNF conversion : 0.03
% 12.09/3.92 Main loop : 2.21
% 12.09/3.92 Inferencing : 0.57
% 12.09/3.92 Reduction : 0.49
% 12.09/3.92 Demodulation : 0.33
% 12.09/3.92 BG Simplification : 0.07
% 12.09/3.92 Subsumption : 0.92
% 12.09/3.92 Abstraction : 0.06
% 12.09/3.92 MUC search : 0.00
% 12.09/3.92 Cooper : 0.00
% 12.09/3.92 Total : 2.84
% 12.09/3.92 Index Insertion : 0.00
% 12.09/3.93 Index Deletion : 0.00
% 12.09/3.93 Index Matching : 0.00
% 12.09/3.93 BG Taut test : 0.00
%------------------------------------------------------------------------------