TSTP Solution File: SYN696-1 by Beagle---0.9.51
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SYN696-1 : 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 : n029.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 11:11:38 EDT 2023
% Result : Unsatisfiable 179.78s 142.51s
% Output : CNFRefutation 179.78s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 56
% Syntax : Number of formulae : 90 ( 18 unt; 46 typ; 0 def)
% Number of atoms : 84 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 84 ( 44 ~; 40 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 53 ( 32 >; 21 *; 0 +; 0 <<)
% Number of predicates : 19 ( 18 usr; 1 prp; 0-3 aty)
% Number of functors : 28 ( 28 usr; 14 con; 0-2 aty)
% Number of variables : 64 (; 64 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ p26 > p7 > p6 > p33 > p32 > p31 > p3 > p27 > p21 > p2 > p17 > p14 > p12 > p10 > p30 > p29 > p28 > p25 > f23 > f22 > f19 > f15 > f13 > f11 > #nlpp > f9 > f8 > f5 > f4 > f24 > f20 > f18 > f16 > c47 > c46 > c45 > c44 > c43 > c42 > c41 > c40 > c39 > c38 > c37 > c36 > c35 > c34
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(p32,type,
p32: ( $i * $i ) > $o ).
tff(f11,type,
f11: ( $i * $i ) > $i ).
tff(p26,type,
p26: ( $i * $i * $i ) > $o ).
tff(c47,type,
c47: $i ).
tff(f18,type,
f18: $i > $i ).
tff(f22,type,
f22: ( $i * $i ) > $i ).
tff(c45,type,
c45: $i ).
tff(f19,type,
f19: ( $i * $i ) > $i ).
tff(c37,type,
c37: $i ).
tff(f13,type,
f13: ( $i * $i ) > $i ).
tff(p2,type,
p2: ( $i * $i ) > $o ).
tff(c40,type,
c40: $i ).
tff(c34,type,
c34: $i ).
tff(p21,type,
p21: ( $i * $i ) > $o ).
tff(f20,type,
f20: $i > $i ).
tff(c42,type,
c42: $i ).
tff(p31,type,
p31: ( $i * $i ) > $o ).
tff(p17,type,
p17: ( $i * $i ) > $o ).
tff(p33,type,
p33: ( $i * $i ) > $o ).
tff(f24,type,
f24: $i > $i ).
tff(c41,type,
c41: $i ).
tff(f16,type,
f16: $i > $i ).
tff(c39,type,
c39: $i ).
tff(c44,type,
c44: $i ).
tff(p27,type,
p27: ( $i * $i ) > $o ).
tff(p30,type,
p30: $i > $o ).
tff(f5,type,
f5: $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(p25,type,
p25: $i > $o ).
tff(f9,type,
f9: $i > $i ).
tff(p14,type,
p14: ( $i * $i ) > $o ).
tff(c43,type,
c43: $i ).
tff(f23,type,
f23: ( $i * $i ) > $i ).
tff(f8,type,
f8: $i > $i ).
tff(p10,type,
p10: ( $i * $i ) > $o ).
tff(f4,type,
f4: $i > $i ).
tff(p6,type,
p6: ( $i * $i ) > $o ).
tff(c35,type,
c35: $i ).
tff(f15,type,
f15: ( $i * $i ) > $i ).
tff(p29,type,
p29: $i > $o ).
tff(p7,type,
p7: ( $i * $i ) > $o ).
tff(p12,type,
p12: ( $i * $i ) > $o ).
tff(p28,type,
p28: $i > $o ).
tff(f_29,axiom,
! [X5] : p10(X5,X5),
file(unknown,unknown) ).
tff(f_46,axiom,
p2(c44,c45),
file(unknown,unknown) ).
tff(f_39,axiom,
! [X43] : p2(X43,X43),
file(unknown,unknown) ).
tff(f_175,axiom,
! [X44,X45,X43] :
( p2(X44,X45)
| ~ p2(X43,X44)
| ~ p2(X43,X45) ),
file(unknown,unknown) ).
tff(f_127,axiom,
! [X91,X92] :
( p3(f4(X91),f4(X92))
| ~ p2(X91,X92) ),
file(unknown,unknown) ).
tff(f_159,axiom,
! [X89,X90,X88] :
( p3(X89,X90)
| ~ p3(X88,X89)
| ~ p3(X88,X90) ),
file(unknown,unknown) ).
tff(f_35,axiom,
! [X88] : p3(X88,X88),
file(unknown,unknown) ).
tff(f_302,axiom,
! [X46,X47,X48,X49] :
( p2(f11(X46,X47),f11(X48,X49))
| ~ p10(X47,X49)
| ~ p3(X46,X48) ),
file(unknown,unknown) ).
tff(f_263,axiom,
p2(f11(f4(f23(c44,f9(f20(c37)))),c43),f11(f4(c44),c43)),
file(unknown,unknown) ).
tff(f_265,axiom,
~ p2(f11(f4(c45),c43),f11(f4(f23(c44,f9(f20(c37)))),c43)),
file(unknown,unknown) ).
tff(c_14,plain,
! [X5_1] : p10(X5_1,X5_1),
inference(cnfTransformation,[status(thm)],[f_29]) ).
tff(c_32,plain,
p2(c44,c45),
inference(cnfTransformation,[status(thm)],[f_46]) ).
tff(c_24,plain,
! [X43_6] : p2(X43_6,X43_6),
inference(cnfTransformation,[status(thm)],[f_39]) ).
tff(c_477,plain,
! [X43_213,X45_214,X44_215] :
( ~ p2(X43_213,X45_214)
| ~ p2(X43_213,X44_215)
| p2(X44_215,X45_214) ),
inference(cnfTransformation,[status(thm)],[f_175]) ).
tff(c_513,plain,
! [X43_220,X44_221] :
( ~ p2(X43_220,X44_221)
| p2(X44_221,X43_220) ),
inference(resolution,[status(thm)],[c_24,c_477]) ).
tff(c_533,plain,
p2(c45,c44),
inference(resolution,[status(thm)],[c_32,c_513]) ).
tff(c_72,plain,
! [X91_33,X92_34] :
( ~ p2(X91_33,X92_34)
| p3(f4(X91_33),f4(X92_34)) ),
inference(cnfTransformation,[status(thm)],[f_127]) ).
tff(c_543,plain,
! [X88_222,X90_223,X89_224] :
( ~ p3(X88_222,X90_223)
| ~ p3(X88_222,X89_224)
| p3(X89_224,X90_223) ),
inference(cnfTransformation,[status(thm)],[f_159]) ).
tff(c_2888,plain,
! [X91_496,X89_497,X92_498] :
( ~ p3(f4(X91_496),X89_497)
| p3(X89_497,f4(X92_498))
| ~ p2(X91_496,X92_498) ),
inference(resolution,[status(thm)],[c_72,c_543]) ).
tff(c_5623,plain,
! [X92_614,X92_615,X91_616] :
( p3(f4(X92_614),f4(X92_615))
| ~ p2(X91_616,X92_615)
| ~ p2(X91_616,X92_614) ),
inference(resolution,[status(thm)],[c_72,c_2888]) ).
tff(c_5805,plain,
! [X92_614] :
( p3(f4(X92_614),f4(c44))
| ~ p2(c45,X92_614) ),
inference(resolution,[status(thm)],[c_533,c_5623]) ).
tff(c_20,plain,
! [X88_4] : p3(X88_4,X88_4),
inference(cnfTransformation,[status(thm)],[f_35]) ).
tff(c_562,plain,
! [X88_227,X89_228] :
( ~ p3(X88_227,X89_228)
| p3(X89_228,X88_227) ),
inference(resolution,[status(thm)],[c_20,c_543]) ).
tff(c_823,plain,
! [X92_256,X91_257] :
( p3(f4(X92_256),f4(X91_257))
| ~ p2(X91_257,X92_256) ),
inference(resolution,[status(thm)],[c_72,c_562]) ).
tff(c_80,plain,
! [X88_46,X90_45,X89_44] :
( ~ p3(X88_46,X90_45)
| ~ p3(X88_46,X89_44)
| p3(X89_44,X90_45) ),
inference(cnfTransformation,[status(thm)],[f_159]) ).
tff(c_6675,plain,
! [X92_652,X89_653,X91_654] :
( ~ p3(f4(X92_652),X89_653)
| p3(X89_653,f4(X91_654))
| ~ p2(X91_654,X92_652) ),
inference(resolution,[status(thm)],[c_823,c_80]) ).
tff(c_17371,plain,
! [X91_924,X92_925] :
( p3(f4(c44),f4(X91_924))
| ~ p2(X91_924,X92_925)
| ~ p2(c45,X92_925) ),
inference(resolution,[status(thm)],[c_5805,c_6675]) ).
tff(c_17617,plain,
( p3(f4(c44),f4(c45))
| ~ p2(c45,c44) ),
inference(resolution,[status(thm)],[c_533,c_17371]) ).
tff(c_17756,plain,
p3(f4(c44),f4(c45)),
inference(demodulation,[status(thm),theory(equality)],[c_533,c_17617]) ).
tff(c_5813,plain,
! [X92_617] :
( p3(f4(X92_617),f4(c44))
| ~ p2(c45,X92_617) ),
inference(resolution,[status(thm)],[c_533,c_5623]) ).
tff(c_5829,plain,
! [X92_617,X89_44] :
( ~ p3(f4(X92_617),X89_44)
| p3(X89_44,f4(c44))
| ~ p2(c45,X92_617) ),
inference(resolution,[status(thm)],[c_5813,c_80]) ).
tff(c_17767,plain,
( p3(f4(c45),f4(c44))
| ~ p2(c45,c44) ),
inference(resolution,[status(thm)],[c_17756,c_5829]) ).
tff(c_17780,plain,
p3(f4(c45),f4(c44)),
inference(demodulation,[status(thm),theory(equality)],[c_533,c_17767]) ).
tff(c_957,plain,
! [X46_293,X48_294,X47_295,X49_296] :
( ~ p3(X46_293,X48_294)
| ~ p10(X47_295,X49_296)
| p2(f11(X46_293,X47_295),f11(X48_294,X49_296)) ),
inference(cnfTransformation,[status(thm)],[f_302]) ).
tff(c_498,plain,
! [X43_6,X44_215] :
( ~ p2(X43_6,X44_215)
| p2(X44_215,X43_6) ),
inference(resolution,[status(thm)],[c_24,c_477]) ).
tff(c_968,plain,
! [X48_294,X49_296,X46_293,X47_295] :
( p2(f11(X48_294,X49_296),f11(X46_293,X47_295))
| ~ p3(X46_293,X48_294)
| ~ p10(X47_295,X49_296) ),
inference(resolution,[status(thm)],[c_957,c_498]) ).
tff(c_110,plain,
p2(f11(f4(f23(c44,f9(f20(c37)))),c43),f11(f4(c44),c43)),
inference(cnfTransformation,[status(thm)],[f_263]) ).
tff(c_1167,plain,
p2(f11(f4(c44),c43),f11(f4(f23(c44,f9(f20(c37)))),c43)),
inference(resolution,[status(thm)],[c_110,c_498]) ).
tff(c_84,plain,
! [X43_52,X45_51,X44_50] :
( ~ p2(X43_52,X45_51)
| ~ p2(X43_52,X44_50)
| p2(X44_50,X45_51) ),
inference(cnfTransformation,[status(thm)],[f_175]) ).
tff(c_328539,plain,
! [X44_2854] :
( ~ p2(f11(f4(c44),c43),X44_2854)
| p2(X44_2854,f11(f4(f23(c44,f9(f20(c37)))),c43)) ),
inference(resolution,[status(thm)],[c_1167,c_84]) ).
tff(c_112,plain,
~ p2(f11(f4(c45),c43),f11(f4(f23(c44,f9(f20(c37)))),c43)),
inference(cnfTransformation,[status(thm)],[f_265]) ).
tff(c_329747,plain,
~ p2(f11(f4(c44),c43),f11(f4(c45),c43)),
inference(resolution,[status(thm)],[c_328539,c_112]) ).
tff(c_329763,plain,
( ~ p3(f4(c45),f4(c44))
| ~ p10(c43,c43) ),
inference(resolution,[status(thm)],[c_968,c_329747]) ).
tff(c_329773,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_14,c_17780,c_329763]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN696-1 : 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 : n029.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 17:50:37 EDT 2023
% 0.17/0.35 % CPUTime :
% 179.78/142.51 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 179.78/142.52
% 179.78/142.52 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 179.78/142.56
% 179.78/142.56 Inference rules
% 179.78/142.56 ----------------------
% 179.78/142.56 #Ref : 0
% 179.78/142.56 #Sup : 103905
% 179.78/142.56 #Fact : 0
% 179.78/142.56 #Define : 0
% 179.78/142.56 #Split : 268
% 179.78/142.56 #Chain : 0
% 179.78/142.56 #Close : 0
% 179.78/142.56
% 179.78/142.56 Ordering : KBO
% 179.78/142.56
% 179.78/142.56 Simplification rules
% 179.78/142.56 ----------------------
% 179.78/142.56 #Subsume : 13286
% 179.78/142.56 #Demod : 2534
% 179.78/142.56 #Tautology : 812
% 179.78/142.56 #SimpNegUnit : 189
% 179.78/142.56 #BackRed : 0
% 179.78/142.56
% 179.78/142.56 #Partial instantiations: 0
% 179.78/142.56 #Strategies tried : 1
% 179.78/142.56
% 179.78/142.56 Timing (in seconds)
% 179.78/142.56 ----------------------
% 179.95/142.56 Preprocessing : 0.61
% 179.95/142.56 Parsing : 0.32
% 179.95/142.56 CNF conversion : 0.04
% 179.95/142.56 Main loop : 140.81
% 179.95/142.56 Inferencing : 7.33
% 179.95/142.56 Reduction : 26.72
% 179.95/142.56 Demodulation : 13.05
% 179.95/142.56 BG Simplification : 0.48
% 179.95/142.56 Subsumption : 95.60
% 179.95/142.56 Abstraction : 0.68
% 179.95/142.56 MUC search : 0.00
% 179.95/142.56 Cooper : 0.00
% 179.95/142.56 Total : 141.48
% 179.95/142.56 Index Insertion : 0.00
% 179.95/142.56 Index Deletion : 0.00
% 179.95/142.56 Index Matching : 0.00
% 179.95/142.56 BG Taut test : 0.00
%------------------------------------------------------------------------------