TSTP Solution File: SYN651-1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SYN651-1 : 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 : n027.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 22.24s 10.17s
% Output : CNFRefutation 22.28s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 40
% Syntax : Number of formulae : 53 ( 8 unt; 33 typ; 0 def)
% Number of atoms : 40 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 43 ( 23 ~; 20 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 44 ( 22 >; 22 *; 0 +; 0 <<)
% Number of predicates : 14 ( 13 usr; 1 prp; 0-2 aty)
% Number of functors : 20 ( 20 usr; 11 con; 0-2 aty)
% Number of variables : 43 (; 43 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ p9 > p8 > p6 > p4 > p3 > p23 > p21 > p2 > p19 > p17 > p15 > p13 > p11 > f7 > f5 > f22 > f20 > f18 > f16 > f14 > f12 > f10 > #nlpp > c34 > c33 > c32 > c31 > c30 > c29 > c28 > c27 > c26 > c25 > c24
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(f5,type,
f5: ( $i * $i ) > $i ).
tff(p15,type,
p15: ( $i * $i ) > $o ).
tff(p4,type,
p4: ( $i * $i ) > $o ).
tff(f22,type,
f22: ( $i * $i ) > $i ).
tff(p23,type,
p23: ( $i * $i ) > $o ).
tff(f12,type,
f12: ( $i * $i ) > $i ).
tff(p13,type,
p13: ( $i * $i ) > $o ).
tff(p2,type,
p2: ( $i * $i ) > $o ).
tff(f14,type,
f14: ( $i * $i ) > $i ).
tff(c26,type,
c26: $i ).
tff(c34,type,
c34: $i ).
tff(p21,type,
p21: ( $i * $i ) > $o ).
tff(p11,type,
p11: ( $i * $i ) > $o ).
tff(p17,type,
p17: ( $i * $i ) > $o ).
tff(p8,type,
p8: ( $i * $i ) > $o ).
tff(c32,type,
c32: $i ).
tff(c27,type,
c27: $i ).
tff(f7,type,
f7: ( $i * $i ) > $i ).
tff(f18,type,
f18: ( $i * $i ) > $i ).
tff(p3,type,
p3: ( $i * $i ) > $o ).
tff(p19,type,
p19: ( $i * $i ) > $o ).
tff(c25,type,
c25: $i ).
tff(c29,type,
c29: $i ).
tff(c30,type,
c30: $i ).
tff(f16,type,
f16: ( $i * $i ) > $i ).
tff(p6,type,
p6: ( $i * $i ) > $o ).
tff(f10,type,
f10: ( $i * $i ) > $i ).
tff(c31,type,
c31: $i ).
tff(c28,type,
c28: $i ).
tff(p9,type,
p9: ( $i * $i ) > $o ).
tff(c33,type,
c33: $i ).
tff(f20,type,
f20: ( $i * $i ) > $i ).
tff(c24,type,
c24: $i ).
tff(f_143,axiom,
p23(f5(f7(f10(c24,f12(c25,c26)),c27),c30),c29),
file(unknown,unknown) ).
tff(f_46,axiom,
p23(f5(c27,c28),c30),
file(unknown,unknown) ).
tff(f_248,axiom,
! [X45,X46,X47,X48] :
( p23(f5(X45,f14(f16(f18(f20(c31,X46),X47),X45),X48)),X48)
| ~ p23(f5(f7(f10(c24,f12(c25,X46)),X45),X47),X48) ),
file(unknown,unknown) ).
tff(f_274,axiom,
! [X46,X45,X47,X48] :
( p23(f5(f7(f10(c24,X46),X45),X47),f14(f16(f18(f20(c31,X46),X47),X45),X48))
| ~ p23(f5(f7(f10(c24,f12(c25,X46)),X45),X47),X48) ),
file(unknown,unknown) ).
tff(f_269,axiom,
! [X49,X50,X52] :
( p23(f5(f7(f10(c24,f12(c25,c26)),c27),X49),X50)
| ~ p23(f5(c27,X49),X52)
| ~ p23(f5(f7(f10(c24,c26),c27),X52),X50) ),
file(unknown,unknown) ).
tff(f_261,axiom,
! [X47,X46,X45,X48,X51] :
( p23(f5(f7(f10(c24,f12(c25,X46)),X45),X47),X48)
| ~ p23(f5(X45,X51),X48)
| ~ p23(f5(f7(f10(c24,X46),X45),X47),X51) ),
file(unknown,unknown) ).
tff(f_156,axiom,
~ p23(f5(f7(f10(c24,f12(c25,f12(c25,c26))),c27),c28),c29),
file(unknown,unknown) ).
tff(c_52,plain,
p23(f5(f7(f10(c24,f12(c25,c26)),c27),c30),c29),
inference(cnfTransformation,[status(thm)],[f_143]) ).
tff(c_26,plain,
p23(f5(c27,c28),c30),
inference(cnfTransformation,[status(thm)],[f_46]) ).
tff(c_82,plain,
! [X46_98,X45_97,X47_99,X48_100] :
( ~ p23(f5(f7(f10(c24,f12(c25,X46_98)),X45_97),X47_99),X48_100)
| p23(f5(X45_97,f14(f16(f18(f20(c31,X46_98),X47_99),X45_97),X48_100)),X48_100) ),
inference(cnfTransformation,[status(thm)],[f_248]) ).
tff(c_632,plain,
! [X46_351,X45_352,X47_353,X48_354] :
( ~ p23(f5(f7(f10(c24,f12(c25,X46_351)),X45_352),X47_353),X48_354)
| p23(f5(f7(f10(c24,X46_351),X45_352),X47_353),f14(f16(f18(f20(c31,X46_351),X47_353),X45_352),X48_354)) ),
inference(cnfTransformation,[status(thm)],[f_274]) ).
tff(c_88,plain,
! [X52_110,X50_109,X49_108] :
( ~ p23(f5(f7(f10(c24,c26),c27),X52_110),X50_109)
| ~ p23(f5(c27,X49_108),X52_110)
| p23(f5(f7(f10(c24,f12(c25,c26)),c27),X49_108),X50_109) ),
inference(cnfTransformation,[status(thm)],[f_269]) ).
tff(c_2190,plain,
! [X49_900,X47_901,X48_902] :
( ~ p23(f5(c27,X49_900),X47_901)
| p23(f5(f7(f10(c24,f12(c25,c26)),c27),X49_900),f14(f16(f18(f20(c31,c26),X47_901),c27),X48_902))
| ~ p23(f5(f7(f10(c24,f12(c25,c26)),c27),X47_901),X48_902) ),
inference(resolution,[status(thm)],[c_632,c_88]) ).
tff(c_86,plain,
! [X51_107,X45_105,X46_104,X48_106,X47_103] :
( ~ p23(f5(f7(f10(c24,X46_104),X45_105),X47_103),X51_107)
| ~ p23(f5(X45_105,X51_107),X48_106)
| p23(f5(f7(f10(c24,f12(c25,X46_104)),X45_105),X47_103),X48_106) ),
inference(cnfTransformation,[status(thm)],[f_261]) ).
tff(c_10363,plain,
! [X47_2041,X48_2042,X48_2043,X49_2044] :
( ~ p23(f5(c27,f14(f16(f18(f20(c31,c26),X47_2041),c27),X48_2042)),X48_2043)
| p23(f5(f7(f10(c24,f12(c25,f12(c25,c26))),c27),X49_2044),X48_2043)
| ~ p23(f5(c27,X49_2044),X47_2041)
| ~ p23(f5(f7(f10(c24,f12(c25,c26)),c27),X47_2041),X48_2042) ),
inference(resolution,[status(thm)],[c_2190,c_86]) ).
tff(c_30170,plain,
! [X49_3961,X48_3962,X47_3963] :
( p23(f5(f7(f10(c24,f12(c25,f12(c25,c26))),c27),X49_3961),X48_3962)
| ~ p23(f5(c27,X49_3961),X47_3963)
| ~ p23(f5(f7(f10(c24,f12(c25,c26)),c27),X47_3963),X48_3962) ),
inference(resolution,[status(thm)],[c_82,c_10363]) ).
tff(c_30534,plain,
! [X48_3967] :
( p23(f5(f7(f10(c24,f12(c25,f12(c25,c26))),c27),c28),X48_3967)
| ~ p23(f5(f7(f10(c24,f12(c25,c26)),c27),c30),X48_3967) ),
inference(resolution,[status(thm)],[c_26,c_30170]) ).
tff(c_56,plain,
~ p23(f5(f7(f10(c24,f12(c25,f12(c25,c26))),c27),c28),c29),
inference(cnfTransformation,[status(thm)],[f_156]) ).
tff(c_30553,plain,
~ p23(f5(f7(f10(c24,f12(c25,c26)),c27),c30),c29),
inference(resolution,[status(thm)],[c_30534,c_56]) ).
tff(c_30567,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_52,c_30553]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN651-1 : TPTP v8.1.2. Released v2.5.0.
% 0.00/0.13 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/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
% 0.14/0.34 % Computer : n027.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Thu Aug 3 17:46:54 EDT 2023
% 0.14/0.34 % CPUTime :
% 22.24/10.17 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 22.28/10.17
% 22.28/10.17 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 22.28/10.20
% 22.28/10.20 Inference rules
% 22.28/10.20 ----------------------
% 22.28/10.20 #Ref : 0
% 22.28/10.20 #Sup : 8345
% 22.28/10.20 #Fact : 0
% 22.28/10.20 #Define : 0
% 22.28/10.20 #Split : 28
% 22.28/10.20 #Chain : 0
% 22.28/10.20 #Close : 0
% 22.28/10.20
% 22.28/10.20 Ordering : KBO
% 22.28/10.20
% 22.28/10.20 Simplification rules
% 22.28/10.20 ----------------------
% 22.28/10.20 #Subsume : 1221
% 22.28/10.20 #Demod : 476
% 22.28/10.20 #Tautology : 37
% 22.28/10.20 #SimpNegUnit : 0
% 22.28/10.20 #BackRed : 0
% 22.28/10.20
% 22.28/10.20 #Partial instantiations: 0
% 22.28/10.20 #Strategies tried : 1
% 22.28/10.20
% 22.28/10.20 Timing (in seconds)
% 22.28/10.20 ----------------------
% 22.28/10.21 Preprocessing : 0.55
% 22.28/10.21 Parsing : 0.31
% 22.28/10.21 CNF conversion : 0.03
% 22.28/10.21 Main loop : 8.48
% 22.28/10.21 Inferencing : 1.83
% 22.28/10.21 Reduction : 1.78
% 22.28/10.21 Demodulation : 1.14
% 22.28/10.21 BG Simplification : 0.10
% 22.28/10.21 Subsumption : 4.15
% 22.28/10.21 Abstraction : 0.14
% 22.28/10.21 MUC search : 0.00
% 22.28/10.21 Cooper : 0.00
% 22.28/10.21 Total : 9.08
% 22.28/10.21 Index Insertion : 0.00
% 22.28/10.21 Index Deletion : 0.00
% 22.28/10.21 Index Matching : 0.00
% 22.28/10.21 BG Taut test : 0.00
%------------------------------------------------------------------------------