TSTP Solution File: SYN717-1 by Beagle---0.9.51
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SYN717-1 : 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 11:11:42 EDT 2023
% Result : Unsatisfiable 7.57s 2.73s
% Output : CNFRefutation 7.96s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 101
% Syntax : Number of formulae : 124 ( 18 unt; 89 typ; 0 def)
% Number of atoms : 66 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 68 ( 37 ~; 31 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 120 ( 60 >; 60 *; 0 +; 0 <<)
% Number of predicates : 39 ( 38 usr; 1 prp; 0-2 aty)
% Number of functors : 51 ( 51 usr; 29 con; 0-2 aty)
% Number of variables : 58 (; 58 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ p9 > p7 > p61 > p60 > p6 > p59 > p57 > p55 > p53 > p52 > p50 > p49 > p47 > p46 > p44 > p41 > p4 > p39 > p37 > p35 > p34 > p32 > p30 > p3 > p28 > p27 > p26 > p24 > p23 > p22 > p20 > p2 > p19 > p18 > p16 > p14 > p12 > p10 > f8 > f58 > f56 > f54 > f51 > f5 > f48 > f45 > f43 > f42 > f40 > f38 > f36 > f33 > f31 > f29 > f25 > f21 > f17 > f15 > f13 > f11 > #nlpp > c90 > c89 > c88 > c87 > c86 > c85 > c84 > c83 > c82 > c81 > c80 > c79 > c78 > c77 > c76 > c75 > c74 > c73 > c72 > c71 > c70 > c69 > c68 > c67 > c66 > c65 > c64 > c63 > c62
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(p61,type,
p61: ( $i * $i ) > $o ).
tff(p32,type,
p32: ( $i * $i ) > $o ).
tff(f11,type,
f11: ( $i * $i ) > $i ).
tff(f5,type,
f5: ( $i * $i ) > $i ).
tff(p4,type,
p4: ( $i * $i ) > $o ).
tff(c80,type,
c80: $i ).
tff(f45,type,
f45: ( $i * $i ) > $i ).
tff(c69,type,
c69: $i ).
tff(c64,type,
c64: $i ).
tff(p46,type,
p46: ( $i * $i ) > $o ).
tff(p23,type,
p23: ( $i * $i ) > $o ).
tff(f36,type,
f36: ( $i * $i ) > $i ).
tff(p22,type,
p22: ( $i * $i ) > $o ).
tff(c82,type,
c82: $i ).
tff(p57,type,
p57: ( $i * $i ) > $o ).
tff(c76,type,
c76: $i ).
tff(c66,type,
c66: $i ).
tff(p47,type,
p47: ( $i * $i ) > $o ).
tff(p16,type,
p16: ( $i * $i ) > $o ).
tff(f13,type,
f13: ( $i * $i ) > $i ).
tff(p2,type,
p2: ( $i * $i ) > $o ).
tff(c72,type,
c72: $i ).
tff(p60,type,
p60: ( $i * $i ) > $o ).
tff(f38,type,
f38: ( $i * $i ) > $i ).
tff(f58,type,
f58: ( $i * $i ) > $i ).
tff(c89,type,
c89: $i ).
tff(c87,type,
c87: $i ).
tff(p20,type,
p20: ( $i * $i ) > $o ).
tff(c78,type,
c78: $i ).
tff(p53,type,
p53: ( $i * $i ) > $o ).
tff(c71,type,
c71: $i ).
tff(f17,type,
f17: ( $i * $i ) > $i ).
tff(p50,type,
p50: ( $i * $i ) > $o ).
tff(f48,type,
f48: ( $i * $i ) > $i ).
tff(c83,type,
c83: $i ).
tff(p35,type,
p35: ( $i * $i ) > $o ).
tff(c88,type,
c88: $i ).
tff(c73,type,
c73: $i ).
tff(f51,type,
f51: ( $i * $i ) > $i ).
tff(c63,type,
c63: $i ).
tff(p52,type,
p52: ( $i * $i ) > $o ).
tff(p27,type,
p27: ( $i * $i ) > $o ).
tff(p3,type,
p3: ( $i * $i ) > $o ).
tff(f42,type,
f42: ( $i * $i ) > $i ).
tff(f31,type,
f31: ( $i * $i ) > $i ).
tff(p44,type,
p44: ( $i * $i ) > $o ).
tff(p37,type,
p37: ( $i * $i ) > $o ).
tff(f8,type,
f8: ( $i * $i ) > $i ).
tff(p39,type,
p39: ( $i * $i ) > $o ).
tff(c85,type,
c85: $i ).
tff(p30,type,
p30: ( $i * $i ) > $o ).
tff(f56,type,
f56: ( $i * $i ) > $i ).
tff(p19,type,
p19: ( $i * $i ) > $o ).
tff(c67,type,
c67: $i ).
tff(f54,type,
f54: ( $i * $i ) > $i ).
tff(p14,type,
p14: ( $i * $i ) > $o ).
tff(p24,type,
p24: ( $i * $i ) > $o ).
tff(c68,type,
c68: $i ).
tff(c75,type,
c75: $i ).
tff(c86,type,
c86: $i ).
tff(p10,type,
p10: ( $i * $i ) > $o ).
tff(p41,type,
p41: ( $i * $i ) > $o ).
tff(c81,type,
c81: $i ).
tff(f33,type,
f33: ( $i * $i ) > $i ).
tff(f43,type,
f43: ( $i * $i ) > $i ).
tff(f40,type,
f40: ( $i * $i ) > $i ).
tff(c77,type,
c77: $i ).
tff(c74,type,
c74: $i ).
tff(p6,type,
p6: ( $i * $i ) > $o ).
tff(f15,type,
f15: ( $i * $i ) > $i ).
tff(c84,type,
c84: $i ).
tff(p28,type,
p28: ( $i * $i ) > $o ).
tff(c70,type,
c70: $i ).
tff(f29,type,
f29: ( $i * $i ) > $i ).
tff(p26,type,
p26: ( $i * $i ) > $o ).
tff(f21,type,
f21: ( $i * $i ) > $i ).
tff(c79,type,
c79: $i ).
tff(p7,type,
p7: ( $i * $i ) > $o ).
tff(c65,type,
c65: $i ).
tff(c90,type,
c90: $i ).
tff(p34,type,
p34: ( $i * $i ) > $o ).
tff(p12,type,
p12: ( $i * $i ) > $o ).
tff(p9,type,
p9: ( $i * $i ) > $o ).
tff(p55,type,
p55: ( $i * $i ) > $o ).
tff(p18,type,
p18: ( $i * $i ) > $o ).
tff(p59,type,
p59: ( $i * $i ) > $o ).
tff(c62,type,
c62: $i ).
tff(p49,type,
p49: ( $i * $i ) > $o ).
tff(f25,type,
f25: ( $i * $i ) > $i ).
tff(f_77,axiom,
! [X55] : p22(X55,X55),
file(unknown,unknown) ).
tff(f_92,axiom,
p23(c79,c77),
file(unknown,unknown) ).
tff(f_75,axiom,
! [X58] : p23(X58,X58),
file(unknown,unknown) ).
tff(f_318,axiom,
! [X59,X60,X58] :
( p23(X59,X60)
| ~ p23(X58,X59)
| ~ p23(X58,X60) ),
file(unknown,unknown) ).
tff(f_496,axiom,
! [X68,X69,X70,X71] :
( p24(f25(X68,X69),f25(X70,X71))
| ~ p22(X68,X70)
| ~ p23(X69,X71) ),
file(unknown,unknown) ).
tff(f_73,axiom,
! [X65] : p24(X65,X65),
file(unknown,unknown) ).
tff(f_310,axiom,
! [X66,X67,X65] :
( p24(X66,X67)
| ~ p24(X65,X66)
| ~ p24(X65,X67) ),
file(unknown,unknown) ).
tff(f_98,axiom,
p60(f25(c75,c79),f21(c76,c78)),
file(unknown,unknown) ).
tff(f_79,axiom,
! [X48] : p20(X48,X48),
file(unknown,unknown) ).
tff(f_416,axiom,
! [X186,X187,X189,X188] :
( p60(X186,X187)
| ~ p24(X189,X186)
| ~ p60(X189,X188)
| ~ p20(X188,X187) ),
file(unknown,unknown) ).
tff(f_100,axiom,
p59(f29(c73,f31(f33(c74,c77),c78)),c72),
file(unknown,unknown) ).
tff(f_601,axiom,
! [X209,X212,X211,X210] :
( ~ p60(f25(c75,X209),f21(c76,X212))
| ~ p59(f29(c73,f31(f33(c74,X211),X212)),c72)
| ~ p59(f29(c73,f31(f33(c74,X209),X210)),c72) ),
file(unknown,unknown) ).
tff(c_56,plain,
! [X55_28] : p22(X55_28,X55_28),
inference(cnfTransformation,[status(thm)],[f_77]) ).
tff(c_72,plain,
p23(c79,c77),
inference(cnfTransformation,[status(thm)],[f_92]) ).
tff(c_54,plain,
! [X58_27] : p23(X58_27,X58_27),
inference(cnfTransformation,[status(thm)],[f_75]) ).
tff(c_419,plain,
! [X58_382,X60_383,X59_384] :
( ~ p23(X58_382,X60_383)
| ~ p23(X58_382,X59_384)
| p23(X59_384,X60_383) ),
inference(cnfTransformation,[status(thm)],[f_318]) ).
tff(c_431,plain,
! [X58_387,X59_388] :
( ~ p23(X58_387,X59_388)
| p23(X59_388,X58_387) ),
inference(resolution,[status(thm)],[c_54,c_419]) ).
tff(c_438,plain,
p23(c77,c79),
inference(resolution,[status(thm)],[c_72,c_431]) ).
tff(c_973,plain,
! [X69_569,X71_570,X68_571,X70_572] :
( ~ p23(X69_569,X71_570)
| ~ p22(X68_571,X70_572)
| p24(f25(X68_571,X69_569),f25(X70_572,X71_570)) ),
inference(cnfTransformation,[status(thm)],[f_496]) ).
tff(c_52,plain,
! [X65_26] : p24(X65_26,X65_26),
inference(cnfTransformation,[status(thm)],[f_73]) ).
tff(c_587,plain,
! [X65_451,X67_452,X66_453] :
( ~ p24(X65_451,X67_452)
| ~ p24(X65_451,X66_453)
| p24(X66_453,X67_452) ),
inference(cnfTransformation,[status(thm)],[f_310]) ).
tff(c_590,plain,
! [X65_26,X66_453] :
( ~ p24(X65_26,X66_453)
| p24(X66_453,X65_26) ),
inference(resolution,[status(thm)],[c_52,c_587]) ).
tff(c_978,plain,
! [X70_572,X71_570,X68_571,X69_569] :
( p24(f25(X70_572,X71_570),f25(X68_571,X69_569))
| ~ p23(X69_569,X71_570)
| ~ p22(X68_571,X70_572) ),
inference(resolution,[status(thm)],[c_973,c_590]) ).
tff(c_84,plain,
p60(f25(c75,c79),f21(c76,c78)),
inference(cnfTransformation,[status(thm)],[f_98]) ).
tff(c_58,plain,
! [X48_29] : p20(X48_29,X48_29),
inference(cnfTransformation,[status(thm)],[f_79]) ).
tff(c_673,plain,
! [X188_474,X187_475,X189_476,X186_477] :
( ~ p20(X188_474,X187_475)
| ~ p60(X189_476,X188_474)
| ~ p24(X189_476,X186_477)
| p60(X186_477,X187_475) ),
inference(cnfTransformation,[status(thm)],[f_416]) ).
tff(c_681,plain,
! [X189_482,X48_483,X186_484] :
( ~ p60(X189_482,X48_483)
| ~ p24(X189_482,X186_484)
| p60(X186_484,X48_483) ),
inference(resolution,[status(thm)],[c_58,c_673]) ).
tff(c_684,plain,
! [X186_484] :
( ~ p24(f25(c75,c79),X186_484)
| p60(X186_484,f21(c76,c78)) ),
inference(resolution,[status(thm)],[c_84,c_681]) ).
tff(c_88,plain,
p59(f29(c73,f31(f33(c74,c77),c78)),c72),
inference(cnfTransformation,[status(thm)],[f_100]) ).
tff(c_1057,plain,
! [X209_601,X210_602,X211_603,X212_604] :
( ~ p59(f29(c73,f31(f33(c74,X209_601),X210_602)),c72)
| ~ p59(f29(c73,f31(f33(c74,X211_603),X212_604)),c72)
| ~ p60(f25(c75,X209_601),f21(c76,X212_604)) ),
inference(cnfTransformation,[status(thm)],[f_601]) ).
tff(c_1853,plain,
! [X211_800,X212_801] :
( ~ p59(f29(c73,f31(f33(c74,X211_800),X212_801)),c72)
| ~ p60(f25(c75,c77),f21(c76,X212_801)) ),
inference(resolution,[status(thm)],[c_88,c_1057]) ).
tff(c_1864,plain,
~ p60(f25(c75,c77),f21(c76,c78)),
inference(resolution,[status(thm)],[c_88,c_1853]) ).
tff(c_1868,plain,
~ p24(f25(c75,c79),f25(c75,c77)),
inference(resolution,[status(thm)],[c_684,c_1864]) ).
tff(c_1871,plain,
( ~ p23(c77,c79)
| ~ p22(c75,c75) ),
inference(resolution,[status(thm)],[c_978,c_1868]) ).
tff(c_1878,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_56,c_438,c_1871]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : SYN717-1 : TPTP v8.1.2. Released v2.5.0.
% 0.08/0.14 % 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
% 0.15/0.35 % Computer : n023.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Thu Aug 3 17:48:37 EDT 2023
% 0.15/0.35 % CPUTime :
% 7.57/2.73 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 7.57/2.74
% 7.57/2.74 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 7.96/2.78
% 7.96/2.78 Inference rules
% 7.96/2.78 ----------------------
% 7.96/2.78 #Ref : 0
% 7.96/2.78 #Sup : 401
% 7.96/2.78 #Fact : 0
% 7.96/2.78 #Define : 0
% 7.96/2.78 #Split : 6
% 7.96/2.78 #Chain : 0
% 7.96/2.78 #Close : 0
% 7.96/2.78
% 7.96/2.78 Ordering : KBO
% 7.96/2.78
% 7.96/2.78 Simplification rules
% 7.96/2.78 ----------------------
% 7.96/2.78 #Subsume : 87
% 7.96/2.78 #Demod : 123
% 7.96/2.78 #Tautology : 78
% 7.96/2.78 #SimpNegUnit : 0
% 7.96/2.78 #BackRed : 0
% 7.96/2.78
% 7.96/2.78 #Partial instantiations: 0
% 7.96/2.78 #Strategies tried : 1
% 7.96/2.78
% 7.96/2.78 Timing (in seconds)
% 7.96/2.78 ----------------------
% 7.96/2.78 Preprocessing : 0.66
% 7.96/2.78 Parsing : 0.37
% 7.96/2.78 CNF conversion : 0.05
% 7.96/2.78 Main loop : 1.02
% 7.96/2.78 Inferencing : 0.36
% 7.96/2.78 Reduction : 0.28
% 7.96/2.78 Demodulation : 0.20
% 7.96/2.78 BG Simplification : 0.04
% 7.96/2.78 Subsumption : 0.27
% 7.96/2.78 Abstraction : 0.03
% 7.96/2.78 MUC search : 0.00
% 7.96/2.78 Cooper : 0.00
% 7.96/2.78 Total : 1.75
% 7.96/2.78 Index Insertion : 0.00
% 7.96/2.78 Index Deletion : 0.00
% 7.96/2.78 Index Matching : 0.00
% 7.96/2.78 BG Taut test : 0.00
%------------------------------------------------------------------------------