TSTP Solution File: SYN687-1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SYN687-1 : 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 : n023.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 11:11:37 EDT 2023
% Result : Unsatisfiable 19.16s 7.86s
% Output : CNFRefutation 19.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 52
% Syntax : Number of formulae : 72 ( 11 unt; 46 typ; 0 def)
% Number of atoms : 54 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 47 ( 19 ~; 28 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 68 ( 34 >; 34 *; 0 +; 0 <<)
% Number of predicates : 21 ( 20 usr; 1 prp; 0-2 aty)
% Number of functors : 26 ( 26 usr; 12 con; 0-2 aty)
% Number of variables : 47 (; 47 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ p8 > p6 > p4 > p35 > p34 > p33 > p31 > p3 > p29 > p27 > p25 > p23 > p21 > p2 > p19 > p17 > p15 > p13 > p11 > p10 > f9 > f7 > f5 > f32 > f30 > f28 > f26 > f24 > f22 > f20 > f18 > f16 > f14 > f12 > #nlpp > c47 > c46 > c45 > c44 > c43 > c42 > c41 > c40 > c39 > c38 > c37 > c36
%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(f32,type,
f32: ( $i * $i ) > $i ).
tff(c47,type,
c47: $i ).
tff(f26,type,
f26: ( $i * $i ) > $i ).
tff(f22,type,
f22: ( $i * $i ) > $i ).
tff(p23,type,
p23: ( $i * $i ) > $o ).
tff(c45,type,
c45: $i ).
tff(f12,type,
f12: ( $i * $i ) > $i ).
tff(c37,type,
c37: $i ).
tff(p13,type,
p13: ( $i * $i ) > $o ).
tff(f9,type,
f9: ( $i * $i ) > $i ).
tff(p2,type,
p2: ( $i * $i ) > $o ).
tff(c40,type,
c40: $i ).
tff(f14,type,
f14: ( $i * $i ) > $i ).
tff(f24,type,
f24: ( $i * $i ) > $i ).
tff(p21,type,
p21: ( $i * $i ) > $o ).
tff(p29,type,
p29: ( $i * $i ) > $o ).
tff(c42,type,
c42: $i ).
tff(p11,type,
p11: ( $i * $i ) > $o ).
tff(p31,type,
p31: ( $i * $i ) > $o ).
tff(p17,type,
p17: ( $i * $i ) > $o ).
tff(p8,type,
p8: ( $i * $i ) > $o ).
tff(f30,type,
f30: ( $i * $i ) > $i ).
tff(p35,type,
p35: ( $i * $i ) > $o ).
tff(p33,type,
p33: ( $i * $i ) > $o ).
tff(f7,type,
f7: ( $i * $i ) > $i ).
tff(c41,type,
c41: $i ).
tff(c39,type,
c39: $i ).
tff(c44,type,
c44: $i ).
tff(f18,type,
f18: ( $i * $i ) > $i ).
tff(p27,type,
p27: ( $i * $i ) > $o ).
tff(f28,type,
f28: ( $i * $i ) > $i ).
tff(p3,type,
p3: ( $i * $i ) > $o ).
tff(c38,type,
c38: $i ).
tff(c46,type,
c46: $i ).
tff(c36,type,
c36: $i ).
tff(p19,type,
p19: ( $i * $i ) > $o ).
tff(p25,type,
p25: ( $i * $i ) > $o ).
tff(c43,type,
c43: $i ).
tff(p10,type,
p10: ( $i * $i ) > $o ).
tff(f16,type,
f16: ( $i * $i ) > $i ).
tff(p6,type,
p6: ( $i * $i ) > $o ).
tff(p34,type,
p34: ( $i * $i ) > $o ).
tff(f20,type,
f20: ( $i * $i ) > $i ).
tff(f_58,axiom,
p34(c36,c37),
file(unknown,unknown) ).
tff(f_343,axiom,
! [X106,X108,X107] :
( p4(f5(f9(c39,X106),X108),f5(f9(c39,X107),X108))
| p35(f12(c37,f14(f16(f18(c40,X106),X107),X108)),X108) ),
file(unknown,unknown) ).
tff(f_366,axiom,
! [X116,X117,X119] :
( p4(f5(f26(f28(c46,X116),X117),X119),f5(f9(X117,f26(f28(c46,X116),X117)),X119))
| ~ p34(c36,X116)
| ~ p4(f5(f9(X117,f26(f28(c46,X116),X117)),f30(f32(c45,X116),X117)),f5(f9(X117,f26(f28(c47,X116),X117)),f30(f32(c45,X116),X117))) ),
file(unknown,unknown) ).
tff(f_358,axiom,
! [X116,X117,X118,X119] :
( p4(f5(f26(f28(c46,X116),X117),X118),f5(f26(f28(c47,X116),X117),X118))
| p4(f5(f26(f28(c46,X116),X117),X119),f5(f9(X117,f26(f28(c46,X116),X117)),X119))
| ~ p34(c36,X116)
| ~ p35(f12(X116,X118),f30(f32(c45,X116),X117)) ),
file(unknown,unknown) ).
tff(f_348,axiom,
! [X106,X108,X107] :
( p4(f5(f9(c39,X106),X108),f5(f9(c39,X107),X108))
| ~ p4(f5(X106,f14(f16(f18(c40,X106),X107),X108)),f5(X107,f14(f16(f18(c40,X106),X107),X108))) ),
file(unknown,unknown) ).
tff(f_227,axiom,
! [X130] : ~ p4(f5(X130,f7(c38,X130)),f5(f9(c39,X130),f7(c38,X130))),
file(unknown,unknown) ).
tff(c_38,plain,
p34(c36,c37),
inference(cnfTransformation,[status(thm)],[f_58]) ).
tff(c_110,plain,
! [X106_138,X107_140,X108_139] :
( p35(f12(c37,f14(f16(f18(c40,X106_138),X107_140),X108_139)),X108_139)
| p4(f5(f9(c39,X106_138),X108_139),f5(f9(c39,X107_140),X108_139)) ),
inference(cnfTransformation,[status(thm)],[f_343]) ).
tff(c_609,plain,
! [X117_405,X116_406,X119_407] :
( ~ p4(f5(f9(X117_405,f26(f28(c46,X116_406),X117_405)),f30(f32(c45,X116_406),X117_405)),f5(f9(X117_405,f26(f28(c47,X116_406),X117_405)),f30(f32(c45,X116_406),X117_405)))
| ~ p34(c36,X116_406)
| p4(f5(f26(f28(c46,X116_406),X117_405),X119_407),f5(f9(X117_405,f26(f28(c46,X116_406),X117_405)),X119_407)) ),
inference(cnfTransformation,[status(thm)],[f_366]) ).
tff(c_616,plain,
! [X116_406,X119_407] :
( ~ p34(c36,X116_406)
| p4(f5(f26(f28(c46,X116_406),c39),X119_407),f5(f9(c39,f26(f28(c46,X116_406),c39)),X119_407))
| p35(f12(c37,f14(f16(f18(c40,f26(f28(c46,X116_406),c39)),f26(f28(c47,X116_406),c39)),f30(f32(c45,X116_406),c39))),f30(f32(c45,X116_406),c39)) ),
inference(resolution,[status(thm)],[c_110,c_609]) ).
tff(c_543,plain,
! [X116_381,X118_382,X117_383,X119_384] :
( ~ p35(f12(X116_381,X118_382),f30(f32(c45,X116_381),X117_383))
| ~ p34(c36,X116_381)
| p4(f5(f26(f28(c46,X116_381),X117_383),X119_384),f5(f9(X117_383,f26(f28(c46,X116_381),X117_383)),X119_384))
| p4(f5(f26(f28(c46,X116_381),X117_383),X118_382),f5(f26(f28(c47,X116_381),X117_383),X118_382)) ),
inference(cnfTransformation,[status(thm)],[f_358]) ).
tff(c_112,plain,
! [X106_141,X107_143,X108_142] :
( ~ p4(f5(X106_141,f14(f16(f18(c40,X106_141),X107_143),X108_142)),f5(X107_143,f14(f16(f18(c40,X106_141),X107_143),X108_142)))
| p4(f5(f9(c39,X106_141),X108_142),f5(f9(c39,X107_143),X108_142)) ),
inference(cnfTransformation,[status(thm)],[f_348]) ).
tff(c_2375,plain,
! [X116_1095,X117_1096,X108_1097,X119_1098] :
( p4(f5(f9(c39,f26(f28(c46,X116_1095),X117_1096)),X108_1097),f5(f9(c39,f26(f28(c47,X116_1095),X117_1096)),X108_1097))
| ~ p35(f12(X116_1095,f14(f16(f18(c40,f26(f28(c46,X116_1095),X117_1096)),f26(f28(c47,X116_1095),X117_1096)),X108_1097)),f30(f32(c45,X116_1095),X117_1096))
| ~ p34(c36,X116_1095)
| p4(f5(f26(f28(c46,X116_1095),X117_1096),X119_1098),f5(f9(X117_1096,f26(f28(c46,X116_1095),X117_1096)),X119_1098)) ),
inference(resolution,[status(thm)],[c_543,c_112]) ).
tff(c_2378,plain,
! [X119_1098,X119_407] :
( p4(f5(f9(c39,f26(f28(c46,c37),c39)),f30(f32(c45,c37),c39)),f5(f9(c39,f26(f28(c47,c37),c39)),f30(f32(c45,c37),c39)))
| p4(f5(f26(f28(c46,c37),c39),X119_1098),f5(f9(c39,f26(f28(c46,c37),c39)),X119_1098))
| ~ p34(c36,c37)
| p4(f5(f26(f28(c46,c37),c39),X119_407),f5(f9(c39,f26(f28(c46,c37),c39)),X119_407)) ),
inference(resolution,[status(thm)],[c_616,c_2375]) ).
tff(c_2381,plain,
! [X119_1098,X119_407] :
( p4(f5(f9(c39,f26(f28(c46,c37),c39)),f30(f32(c45,c37),c39)),f5(f9(c39,f26(f28(c47,c37),c39)),f30(f32(c45,c37),c39)))
| p4(f5(f26(f28(c46,c37),c39),X119_1098),f5(f9(c39,f26(f28(c46,c37),c39)),X119_1098))
| p4(f5(f26(f28(c46,c37),c39),X119_407),f5(f9(c39,f26(f28(c46,c37),c39)),X119_407)) ),
inference(demodulation,[status(thm),theory(equality)],[c_38,c_2378]) ).
tff(c_20844,plain,
p4(f5(f9(c39,f26(f28(c46,c37),c39)),f30(f32(c45,c37),c39)),f5(f9(c39,f26(f28(c47,c37),c39)),f30(f32(c45,c37),c39))),
inference(splitLeft,[status(thm)],[c_2381]) ).
tff(c_116,plain,
! [X117_149,X116_148,X119_150] :
( ~ p4(f5(f9(X117_149,f26(f28(c46,X116_148),X117_149)),f30(f32(c45,X116_148),X117_149)),f5(f9(X117_149,f26(f28(c47,X116_148),X117_149)),f30(f32(c45,X116_148),X117_149)))
| ~ p34(c36,X116_148)
| p4(f5(f26(f28(c46,X116_148),X117_149),X119_150),f5(f9(X117_149,f26(f28(c46,X116_148),X117_149)),X119_150)) ),
inference(cnfTransformation,[status(thm)],[f_366]) ).
tff(c_21374,plain,
! [X119_150] :
( ~ p34(c36,c37)
| p4(f5(f26(f28(c46,c37),c39),X119_150),f5(f9(c39,f26(f28(c46,c37),c39)),X119_150)) ),
inference(resolution,[status(thm)],[c_20844,c_116]) ).
tff(c_21398,plain,
! [X119_3282] : p4(f5(f26(f28(c46,c37),c39),X119_3282),f5(f9(c39,f26(f28(c46,c37),c39)),X119_3282)),
inference(demodulation,[status(thm),theory(equality)],[c_38,c_21374]) ).
tff(c_80,plain,
! [X130_81] : ~ p4(f5(X130_81,f7(c38,X130_81)),f5(f9(c39,X130_81),f7(c38,X130_81))),
inference(cnfTransformation,[status(thm)],[f_227]) ).
tff(c_21481,plain,
$false,
inference(resolution,[status(thm)],[c_21398,c_80]) ).
tff(c_21482,plain,
! [X119_407,X119_1098] :
( p4(f5(f26(f28(c46,c37),c39),X119_407),f5(f9(c39,f26(f28(c46,c37),c39)),X119_407))
| p4(f5(f26(f28(c46,c37),c39),X119_1098),f5(f9(c39,f26(f28(c46,c37),c39)),X119_1098)) ),
inference(splitRight,[status(thm)],[c_2381]) ).
tff(c_22474,plain,
! [X119_3323] : p4(f5(f26(f28(c46,c37),c39),X119_3323),f5(f9(c39,f26(f28(c46,c37),c39)),X119_3323)),
inference(splitLeft,[status(thm)],[c_21482]) ).
tff(c_22557,plain,
$false,
inference(resolution,[status(thm)],[c_22474,c_80]) ).
tff(c_22559,plain,
! [X119_3324] : p4(f5(f26(f28(c46,c37),c39),X119_3324),f5(f9(c39,f26(f28(c46,c37),c39)),X119_3324)),
inference(splitRight,[status(thm)],[c_21482]) ).
tff(c_22642,plain,
$false,
inference(resolution,[status(thm)],[c_22559,c_80]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : SYN687-1 : TPTP v8.1.2. Released v2.5.0.
% 0.06/0.12 % 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
% 0.12/0.32 % Computer : n023.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 300
% 0.12/0.32 % DateTime : Thu Aug 3 17:29:22 EDT 2023
% 0.12/0.32 % CPUTime :
% 19.16/7.86 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 19.16/7.87
% 19.16/7.87 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 19.16/7.90
% 19.16/7.90 Inference rules
% 19.16/7.90 ----------------------
% 19.16/7.90 #Ref : 0
% 19.16/7.90 #Sup : 6370
% 19.16/7.90 #Fact : 2
% 19.16/7.90 #Define : 0
% 19.16/7.90 #Split : 4
% 19.16/7.90 #Chain : 0
% 19.16/7.90 #Close : 0
% 19.16/7.90
% 19.16/7.90 Ordering : KBO
% 19.16/7.90
% 19.16/7.90 Simplification rules
% 19.16/7.90 ----------------------
% 19.16/7.90 #Subsume : 959
% 19.16/7.90 #Demod : 527
% 19.16/7.90 #Tautology : 72
% 19.16/7.90 #SimpNegUnit : 0
% 19.16/7.90 #BackRed : 0
% 19.16/7.90
% 19.16/7.90 #Partial instantiations: 0
% 19.16/7.90 #Strategies tried : 1
% 19.16/7.90
% 19.16/7.90 Timing (in seconds)
% 19.16/7.90 ----------------------
% 19.16/7.91 Preprocessing : 0.57
% 19.16/7.91 Parsing : 0.32
% 19.16/7.91 CNF conversion : 0.04
% 19.16/7.91 Main loop : 6.32
% 19.16/7.91 Inferencing : 1.16
% 19.16/7.91 Reduction : 1.19
% 19.16/7.91 Demodulation : 0.78
% 19.16/7.91 BG Simplification : 0.09
% 19.16/7.91 Subsumption : 3.50
% 19.16/7.91 Abstraction : 0.11
% 19.16/7.91 MUC search : 0.00
% 19.16/7.91 Cooper : 0.00
% 19.16/7.91 Total : 6.94
% 19.16/7.91 Index Insertion : 0.00
% 19.16/7.91 Index Deletion : 0.00
% 19.16/7.91 Index Matching : 0.00
% 19.16/7.91 BG Taut test : 0.00
%------------------------------------------------------------------------------