TSTP Solution File: SYN655-1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SYN655-1 : 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 : n002.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 11:11:32 EDT 2023
% Result : Unsatisfiable 12.08s 4.18s
% Output : CNFRefutation 12.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 39
% Syntax : Number of formulae : 56 ( 9 unt; 32 typ; 0 def)
% Number of atoms : 43 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 40 ( 21 ~; 19 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 8 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 84 ( 20 >; 64 *; 0 +; 0 <<)
% Number of predicates : 11 ( 10 usr; 1 prp; 0-2 aty)
% Number of functors : 22 ( 22 usr; 12 con; 0-8 aty)
% Number of variables : 124 (; 124 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ p9 > p8 > p7 > p6 > p5 > p3 > p21 > p2 > p12 > p10 > f20 > f19 > f18 > f17 > f16 > f15 > f14 > f11 > #nlpp > f4 > f13 > c33 > c32 > c31 > c30 > c29 > c28 > c27 > c26 > c25 > c24 > c23 > c22
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(f18,type,
f18: ( $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(f14,type,
f14: ( $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(f16,type,
f16: ( $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(f11,type,
f11: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(f20,type,
f20: ( $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(p2,type,
p2: ( $i * $i ) > $o ).
tff(c26,type,
c26: $i ).
tff(p21,type,
p21: ( $i * $i ) > $o ).
tff(f19,type,
f19: ( $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(c23,type,
c23: $i ).
tff(f13,type,
f13: $i > $i ).
tff(p8,type,
p8: ( $i * $i ) > $o ).
tff(c32,type,
c32: $i ).
tff(c22,type,
c22: $i ).
tff(c27,type,
c27: $i ).
tff(p5,type,
p5: ( $i * $i ) > $o ).
tff(p3,type,
p3: ( $i * $i ) > $o ).
tff(f17,type,
f17: ( $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(c25,type,
c25: $i ).
tff(c29,type,
c29: $i ).
tff(c30,type,
c30: $i ).
tff(p10,type,
p10: ( $i * $i ) > $o ).
tff(f4,type,
f4: $i > $i ).
tff(p6,type,
p6: ( $i * $i ) > $o ).
tff(f15,type,
f15: ( $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(c31,type,
c31: $i ).
tff(c28,type,
c28: $i ).
tff(p7,type,
p7: ( $i * $i ) > $o ).
tff(p12,type,
p12: ( $i * $i ) > $o ).
tff(p9,type,
p9: ( $i * $i ) > $o ).
tff(c33,type,
c33: $i ).
tff(c24,type,
c24: $i ).
tff(f_41,axiom,
~ p9(c22,c23),
file(unknown,unknown) ).
tff(f_153,axiom,
p21(f11(c24,c25,c26,c27,c22,c28),f11(c29,c30,c31,c32,c23,c33)),
file(unknown,unknown) ).
tff(f_444,axiom,
! [X38,X36,X43,X40,X39,X42,X37,X41] :
( p3(X41,f11(f19(X37,X38,X39,X40,X41,X36,X42,X43),f18(X37,X38,X39,X40,X41,X36,X42,X43),f17(X37,X38,X39,X40,X41,X36,X42,X43),f16(X37,X38,X39,X40,X41,X36,X42,X43),f15(X37,X38,X39,X40,X41,X36,X42,X43),f14(X37,X38,X39,X40,X41,X36,X42,X43)))
| ~ p21(f11(X38,X39,X36,X42,X43,X40),X41) ),
file(unknown,unknown) ).
tff(f_168,axiom,
! [X5,X6,X3,X9,X12,X7,X11,X13,X8,X4,X14,X10] :
( p9(X9,X14)
| ~ p3(f11(X5,X6,X7,X8,X9,X3),f11(X10,X11,X12,X13,X14,X4)) ),
file(unknown,unknown) ).
tff(f_25,axiom,
! [X177] : p9(X177,X177),
file(unknown,unknown) ).
tff(f_82,axiom,
! [X178,X179,X177] :
( p9(X178,X179)
| ~ p9(X177,X178)
| ~ p9(X177,X179) ),
file(unknown,unknown) ).
tff(f_193,axiom,
! [X38,X36,X43,X40,X39,X42,X37,X41] :
( p9(X43,f15(X37,X38,X39,X40,X41,X36,X42,X43))
| ~ p21(f11(X38,X39,X36,X42,X43,X40),X41) ),
file(unknown,unknown) ).
tff(c_20,plain,
~ p9(c22,c23),
inference(cnfTransformation,[status(thm)],[f_41]) ).
tff(c_54,plain,
p21(f11(c24,c25,c26,c27,c22,c28),f11(c29,c30,c31,c32,c23,c33)),
inference(cnfTransformation,[status(thm)],[f_153]) ).
tff(c_2679,plain,
! [X42_1126,X38_1120,X43_1125,X36_1123,X37_1119,X40_1121,X39_1124,X41_1122] :
( ~ p21(f11(X38_1120,X39_1124,X36_1123,X42_1126,X43_1125,X40_1121),X41_1122)
| p3(X41_1122,f11(f19(X37_1119,X38_1120,X39_1124,X40_1121,X41_1122,X36_1123,X42_1126,X43_1125),f18(X37_1119,X38_1120,X39_1124,X40_1121,X41_1122,X36_1123,X42_1126,X43_1125),f17(X37_1119,X38_1120,X39_1124,X40_1121,X41_1122,X36_1123,X42_1126,X43_1125),f16(X37_1119,X38_1120,X39_1124,X40_1121,X41_1122,X36_1123,X42_1126,X43_1125),f15(X37_1119,X38_1120,X39_1124,X40_1121,X41_1122,X36_1123,X42_1126,X43_1125),f14(X37_1119,X38_1120,X39_1124,X40_1121,X41_1122,X36_1123,X42_1126,X43_1125))) ),
inference(cnfTransformation,[status(thm)],[f_444]) ).
tff(c_60,plain,
! [X11_85,X6_80,X8_87,X13_86,X14_89,X4_88,X3_81,X7_84,X10_90,X9_82,X12_83,X5_79] :
( ~ p3(f11(X5_79,X6_80,X7_84,X8_87,X9_82,X3_81),f11(X10_90,X11_85,X12_83,X13_86,X14_89,X4_88))
| p9(X9_82,X14_89) ),
inference(cnfTransformation,[status(thm)],[f_168]) ).
tff(c_4360,plain,
! [X37_1573,X36_1568,X9_1566,X42_1572,X5_1565,X8_1574,X7_1575,X40_1569,X38_1567,X6_1564,X43_1576,X39_1571,X3_1570] :
( p9(X9_1566,f15(X37_1573,X38_1567,X39_1571,X40_1569,f11(X5_1565,X6_1564,X7_1575,X8_1574,X9_1566,X3_1570),X36_1568,X42_1572,X43_1576))
| ~ p21(f11(X38_1567,X39_1571,X36_1568,X42_1572,X43_1576,X40_1569),f11(X5_1565,X6_1564,X7_1575,X8_1574,X9_1566,X3_1570)) ),
inference(resolution,[status(thm)],[c_2679,c_60]) ).
tff(c_4,plain,
! [X177_2] : p9(X177_2,X177_2),
inference(cnfTransformation,[status(thm)],[f_25]) ).
tff(c_178,plain,
! [X177_362,X179_363,X178_364] :
( ~ p9(X177_362,X179_363)
| ~ p9(X177_362,X178_364)
| p9(X178_364,X179_363) ),
inference(cnfTransformation,[status(thm)],[f_82]) ).
tff(c_181,plain,
! [X177_2,X178_364] :
( ~ p9(X177_2,X178_364)
| p9(X178_364,X177_2) ),
inference(resolution,[status(thm)],[c_4,c_178]) ).
tff(c_12536,plain,
! [X3_2920,X5_2910,X40_2913,X42_2917,X8_2912,X37_2914,X6_2918,X39_2921,X7_2916,X38_2915,X43_2919,X36_2922,X9_2911] :
( p9(f15(X37_2914,X38_2915,X39_2921,X40_2913,f11(X5_2910,X6_2918,X7_2916,X8_2912,X9_2911,X3_2920),X36_2922,X42_2917,X43_2919),X9_2911)
| ~ p21(f11(X38_2915,X39_2921,X36_2922,X42_2917,X43_2919,X40_2913),f11(X5_2910,X6_2918,X7_2916,X8_2912,X9_2911,X3_2920)) ),
inference(resolution,[status(thm)],[c_4360,c_181]) ).
tff(c_909,plain,
! [X37_696,X42_697,X38_693,X36_698,X39_692,X40_691,X41_694,X43_695] :
( ~ p21(f11(X38_693,X39_692,X36_698,X42_697,X43_695,X40_691),X41_694)
| p9(X43_695,f15(X37_696,X38_693,X39_692,X40_691,X41_694,X36_698,X42_697,X43_695)) ),
inference(cnfTransformation,[status(thm)],[f_193]) ).
tff(c_2914,plain,
! [X41_1183,X43_1186,X37_1184,X40_1182,X42_1185,X38_1180,X36_1181,X39_1187] :
( p9(f15(X37_1184,X38_1180,X39_1187,X40_1182,X41_1183,X36_1181,X42_1185,X43_1186),X43_1186)
| ~ p21(f11(X38_1180,X39_1187,X36_1181,X42_1185,X43_1186,X40_1182),X41_1183) ),
inference(resolution,[status(thm)],[c_909,c_181]) ).
tff(c_34,plain,
! [X177_26,X179_25,X178_24] :
( ~ p9(X177_26,X179_25)
| ~ p9(X177_26,X178_24)
| p9(X178_24,X179_25) ),
inference(cnfTransformation,[status(thm)],[f_82]) ).
tff(c_2920,plain,
! [X41_1183,X43_1186,X37_1184,X40_1182,X42_1185,X38_1180,X178_24,X36_1181,X39_1187] :
( ~ p9(f15(X37_1184,X38_1180,X39_1187,X40_1182,X41_1183,X36_1181,X42_1185,X43_1186),X178_24)
| p9(X178_24,X43_1186)
| ~ p21(f11(X38_1180,X39_1187,X36_1181,X42_1185,X43_1186,X40_1182),X41_1183) ),
inference(resolution,[status(thm)],[c_2914,c_34]) ).
tff(c_12661,plain,
! [X3_2966,X36_2968,X5_2976,X8_2972,X42_2977,X43_2975,X7_2974,X9_2973,X38_2969,X40_2967,X39_2970,X6_2971] :
( p9(X9_2973,X43_2975)
| ~ p21(f11(X38_2969,X39_2970,X36_2968,X42_2977,X43_2975,X40_2967),f11(X5_2976,X6_2971,X7_2974,X8_2972,X9_2973,X3_2966)) ),
inference(resolution,[status(thm)],[c_12536,c_2920]) ).
tff(c_12669,plain,
p9(c23,c22),
inference(resolution,[status(thm)],[c_54,c_12661]) ).
tff(c_12673,plain,
p9(c22,c23),
inference(resolution,[status(thm)],[c_12669,c_181]) ).
tff(c_12680,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_20,c_12673]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : SYN655-1 : 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
% 0.14/0.36 % Computer : n002.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Thu Aug 3 17:35:46 EDT 2023
% 0.14/0.36 % CPUTime :
% 12.08/4.18 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 12.08/4.19
% 12.08/4.19 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 12.08/4.22
% 12.08/4.22 Inference rules
% 12.08/4.22 ----------------------
% 12.08/4.22 #Ref : 0
% 12.08/4.22 #Sup : 3327
% 12.08/4.22 #Fact : 0
% 12.08/4.22 #Define : 0
% 12.08/4.22 #Split : 0
% 12.08/4.22 #Chain : 0
% 12.08/4.22 #Close : 0
% 12.08/4.22
% 12.08/4.22 Ordering : KBO
% 12.08/4.22
% 12.08/4.22 Simplification rules
% 12.08/4.22 ----------------------
% 12.08/4.22 #Subsume : 1270
% 12.08/4.22 #Demod : 615
% 12.08/4.22 #Tautology : 290
% 12.08/4.22 #SimpNegUnit : 52
% 12.08/4.22 #BackRed : 0
% 12.08/4.22
% 12.08/4.22 #Partial instantiations: 0
% 12.08/4.22 #Strategies tried : 1
% 12.08/4.22
% 12.08/4.22 Timing (in seconds)
% 12.08/4.22 ----------------------
% 12.08/4.22 Preprocessing : 0.60
% 12.08/4.22 Parsing : 0.35
% 12.08/4.22 CNF conversion : 0.04
% 12.08/4.22 Main loop : 2.54
% 12.08/4.22 Inferencing : 0.73
% 12.08/4.22 Reduction : 0.58
% 12.08/4.22 Demodulation : 0.40
% 12.08/4.22 BG Simplification : 0.06
% 12.08/4.22 Subsumption : 1.01
% 12.08/4.22 Abstraction : 0.06
% 12.08/4.23 MUC search : 0.00
% 12.08/4.23 Cooper : 0.00
% 12.08/4.23 Total : 3.19
% 12.08/4.23 Index Insertion : 0.00
% 12.08/4.23 Index Deletion : 0.00
% 12.08/4.23 Index Matching : 0.00
% 12.08/4.23 BG Taut test : 0.00
%------------------------------------------------------------------------------