TSTP Solution File: SYN705-1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SYN705-1 : 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 : 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 11:11:40 EDT 2023
% Result : Unsatisfiable 26.26s 14.91s
% Output : CNFRefutation 26.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 67
% Syntax : Number of formulae : 86 ( 14 unt; 57 typ; 0 def)
% Number of atoms : 56 ( 0 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 57 ( 30 ~; 27 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 92 ( 46 >; 46 *; 0 +; 0 <<)
% Number of predicates : 27 ( 26 usr; 1 prp; 0-2 aty)
% Number of functors : 31 ( 31 usr; 11 con; 0-2 aty)
% Number of variables : 68 (; 68 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ p9 > p7 > p6 > p47 > p45 > p43 > p41 > p4 > p39 > p37 > p35 > p33 > p31 > p3 > p29 > p27 > p25 > p23 > p21 > p2 > p19 > p17 > p15 > p14 > p12 > p11 > f8 > f5 > f46 > f44 > f42 > f40 > f38 > f36 > f34 > f32 > f30 > f28 > f26 > f24 > f22 > f20 > f18 > f16 > f13 > f10 > #nlpp > c58 > c57 > c56 > c55 > c54 > c53 > c52 > c51 > c50 > c49 > c48
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(f5,type,
f5: ( $i * $i ) > $i ).
tff(p15,type,
p15: ( $i * $i ) > $o ).
tff(c57,type,
c57: $i ).
tff(p4,type,
p4: ( $i * $i ) > $o ).
tff(f32,type,
f32: ( $i * $i ) > $i ).
tff(p43,type,
p43: ( $i * $i ) > $o ).
tff(f26,type,
f26: ( $i * $i ) > $i ).
tff(f22,type,
f22: ( $i * $i ) > $i ).
tff(p23,type,
p23: ( $i * $i ) > $o ).
tff(c55,type,
c55: $i ).
tff(f36,type,
f36: ( $i * $i ) > $i ).
tff(c58,type,
c58: $i ).
tff(p47,type,
p47: ( $i * $i ) > $o ).
tff(f13,type,
f13: ( $i * $i ) > $i ).
tff(p2,type,
p2: ( $i * $i ) > $o ).
tff(c52,type,
c52: $i ).
tff(f24,type,
f24: ( $i * $i ) > $i ).
tff(f44,type,
f44: ( $i * $i ) > $i ).
tff(f38,type,
f38: ( $i * $i ) > $i ).
tff(p21,type,
p21: ( $i * $i ) > $o ).
tff(p29,type,
p29: ( $i * $i ) > $o ).
tff(c48,type,
c48: $i ).
tff(p11,type,
p11: ( $i * $i ) > $o ).
tff(p31,type,
p31: ( $i * $i ) > $o ).
tff(p17,type,
p17: ( $i * $i ) > $o ).
tff(f30,type,
f30: ( $i * $i ) > $i ).
tff(p35,type,
p35: ( $i * $i ) > $o ).
tff(c53,type,
c53: $i ).
tff(p33,type,
p33: ( $i * $i ) > $o ).
tff(f18,type,
f18: ( $i * $i ) > $i ).
tff(p27,type,
p27: ( $i * $i ) > $o ).
tff(p45,type,
p45: ( $i * $i ) > $o ).
tff(f28,type,
f28: ( $i * $i ) > $i ).
tff(p3,type,
p3: ( $i * $i ) > $o ).
tff(c54,type,
c54: $i ).
tff(f46,type,
f46: ( $i * $i ) > $i ).
tff(f42,type,
f42: ( $i * $i ) > $i ).
tff(p37,type,
p37: ( $i * $i ) > $o ).
tff(f8,type,
f8: ( $i * $i ) > $i ).
tff(p39,type,
p39: ( $i * $i ) > $o ).
tff(p19,type,
p19: ( $i * $i ) > $o ).
tff(p25,type,
p25: ( $i * $i ) > $o ).
tff(p14,type,
p14: ( $i * $i ) > $o ).
tff(c50,type,
c50: $i ).
tff(p41,type,
p41: ( $i * $i ) > $o ).
tff(f40,type,
f40: ( $i * $i ) > $i ).
tff(f16,type,
f16: ( $i * $i ) > $i ).
tff(p6,type,
p6: ( $i * $i ) > $o ).
tff(f10,type,
f10: ( $i * $i ) > $i ).
tff(c51,type,
c51: $i ).
tff(c56,type,
c56: $i ).
tff(p7,type,
p7: ( $i * $i ) > $o ).
tff(c49,type,
c49: $i ).
tff(f34,type,
f34: ( $i * $i ) > $i ).
tff(p12,type,
p12: ( $i * $i ) > $o ).
tff(p9,type,
p9: ( $i * $i ) > $o ).
tff(f20,type,
f20: ( $i * $i ) > $i ).
tff(f_462,axiom,
! [X147,X149,X150,X148] :
( p47(f5(c48,f13(f16(f18(c50,X147),X149),X150)),X148)
| ~ p47(X147,X148) ),
file(unknown,unknown) ).
tff(f_273,axiom,
~ p47(f5(c48,f13(f16(f18(c50,c51),c52),c53)),c55),
file(unknown,unknown) ).
tff(f_61,axiom,
! [X38] : p2(X38,X38),
file(unknown,unknown) ).
tff(f_475,axiom,
! [X65,X66,X67,X68] : p3(f8(f10(c49,f13(f16(f18(c50,X65),X66),X67)),X68),f13(f16(f18(c50,f20(f22(f24(f26(c56,X65),X66),X67),X68)),f30(f32(f34(f36(c57,X65),X66),X67),X68)),f40(f42(f44(f46(c58,X65),X66),X67),X68))),
file(unknown,unknown) ).
tff(f_463,axiom,
p47(f5(c48,f8(f10(c49,f13(f16(f18(c50,c51),c52),c53)),c54)),c55),
file(unknown,unknown) ).
tff(f_27,axiom,
! [X162] : p7(X162,X162),
file(unknown,unknown) ).
tff(f_327,axiom,
! [X126,X127,X128,X129] :
( p4(f5(X126,X127),f5(X128,X129))
| ~ p2(X126,X128)
| ~ p3(X127,X129) ),
file(unknown,unknown) ).
tff(f_287,axiom,
! [X151,X152,X153,X154] :
( p47(X151,X152)
| ~ p47(X153,X154)
| ~ p7(X154,X152)
| ~ p4(X153,X151) ),
file(unknown,unknown) ).
tff(f_452,axiom,
! [X147,X148,X149,X150] :
( p47(X147,X148)
| ~ p47(f5(c48,f13(f16(f18(c50,X147),X149),X150)),X148) ),
file(unknown,unknown) ).
tff(f_457,axiom,
! [X68,X67,X66,X69,X65] :
( p47(X65,X69)
| ~ p47(f20(f22(f24(f26(c56,X65),X66),X67),X68),X69) ),
file(unknown,unknown) ).
tff(c_624,plain,
! [X147_498,X148_499,X149_500,X150_501] :
( ~ p47(X147_498,X148_499)
| p47(f5(c48,f13(f16(f18(c50,X147_498),X149_500),X150_501)),X148_499) ),
inference(cnfTransformation,[status(thm)],[f_462]) ).
tff(c_102,plain,
~ p47(f5(c48,f13(f16(f18(c50,c51),c52),c53)),c55),
inference(cnfTransformation,[status(thm)],[f_273]) ).
tff(c_632,plain,
~ p47(c51,c55),
inference(resolution,[status(thm)],[c_624,c_102]) ).
tff(c_40,plain,
! [X38_20] : p2(X38_20,X38_20),
inference(cnfTransformation,[status(thm)],[f_61]) ).
tff(c_160,plain,
! [X65_212,X66_213,X67_214,X68_215] : p3(f8(f10(c49,f13(f16(f18(c50,X65_212),X66_213),X67_214)),X68_215),f13(f16(f18(c50,f20(f22(f24(f26(c56,X65_212),X66_213),X67_214),X68_215)),f30(f32(f34(f36(c57,X65_212),X66_213),X67_214),X68_215)),f40(f42(f44(f46(c58,X65_212),X66_213),X67_214),X68_215))),
inference(cnfTransformation,[status(thm)],[f_475]) ).
tff(c_154,plain,
p47(f5(c48,f8(f10(c49,f13(f16(f18(c50,c51),c52),c53)),c54)),c55),
inference(cnfTransformation,[status(thm)],[f_463]) ).
tff(c_6,plain,
! [X162_3] : p7(X162_3,X162_3),
inference(cnfTransformation,[status(thm)],[f_27]) ).
tff(c_476,plain,
! [X127_409,X129_410,X126_411,X128_412] :
( ~ p3(X127_409,X129_410)
| ~ p2(X126_411,X128_412)
| p4(f5(X126_411,X127_409),f5(X128_412,X129_410)) ),
inference(cnfTransformation,[status(thm)],[f_327]) ).
tff(c_106,plain,
! [X153_107,X151_105,X154_108,X152_106] :
( ~ p4(X153_107,X151_105)
| ~ p7(X154_108,X152_106)
| ~ p47(X153_107,X154_108)
| p47(X151_105,X152_106) ),
inference(cnfTransformation,[status(thm)],[f_287]) ).
tff(c_1061,plain,
! [X126_707,X129_709,X152_705,X127_704,X128_708,X154_706] :
( ~ p7(X154_706,X152_705)
| ~ p47(f5(X126_707,X127_704),X154_706)
| p47(f5(X128_708,X129_709),X152_705)
| ~ p3(X127_704,X129_709)
| ~ p2(X126_707,X128_708) ),
inference(resolution,[status(thm)],[c_476,c_106]) ).
tff(c_1065,plain,
! [X162_714,X126_710,X129_713,X128_712,X127_711] :
( ~ p47(f5(X126_710,X127_711),X162_714)
| p47(f5(X128_712,X129_713),X162_714)
| ~ p3(X127_711,X129_713)
| ~ p2(X126_710,X128_712) ),
inference(resolution,[status(thm)],[c_6,c_1061]) ).
tff(c_3000,plain,
! [X128_1753,X129_1754] :
( p47(f5(X128_1753,X129_1754),c55)
| ~ p3(f8(f10(c49,f13(f16(f18(c50,c51),c52),c53)),c54),X129_1754)
| ~ p2(c48,X128_1753) ),
inference(resolution,[status(thm)],[c_154,c_1065]) ).
tff(c_35418,plain,
! [X128_10713] :
( p47(f5(X128_10713,f13(f16(f18(c50,f20(f22(f24(f26(c56,c51),c52),c53),c54)),f30(f32(f34(f36(c57,c51),c52),c53),c54)),f40(f42(f44(f46(c58,c51),c52),c53),c54))),c55)
| ~ p2(c48,X128_10713) ),
inference(resolution,[status(thm)],[c_160,c_3000]) ).
tff(c_148,plain,
! [X147_189,X149_191,X150_192,X148_190] :
( ~ p47(f5(c48,f13(f16(f18(c50,X147_189),X149_191),X150_192)),X148_190)
| p47(X147_189,X148_190) ),
inference(cnfTransformation,[status(thm)],[f_452]) ).
tff(c_35438,plain,
( p47(f20(f22(f24(f26(c56,c51),c52),c53),c54),c55)
| ~ p2(c48,c48) ),
inference(resolution,[status(thm)],[c_35418,c_148]) ).
tff(c_35449,plain,
p47(f20(f22(f24(f26(c56,c51),c52),c53),c54),c55),
inference(demodulation,[status(thm),theory(equality)],[c_40,c_35438]) ).
tff(c_150,plain,
! [X69_196,X65_197,X67_194,X68_193,X66_195] :
( ~ p47(f20(f22(f24(f26(c56,X65_197),X66_195),X67_194),X68_193),X69_196)
| p47(X65_197,X69_196) ),
inference(cnfTransformation,[status(thm)],[f_457]) ).
tff(c_35490,plain,
p47(c51,c55),
inference(resolution,[status(thm)],[c_35449,c_150]) ).
tff(c_35513,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_632,c_35490]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SYN705-1 : TPTP v8.1.2. Released v2.5.0.
% 0.07/0.14 % 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
% 0.14/0.35 % Computer : n023.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Thu Aug 3 17:41:22 EDT 2023
% 0.14/0.35 % CPUTime :
% 26.26/14.91 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 26.26/14.92
% 26.26/14.92 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 26.26/14.96
% 26.26/14.96 Inference rules
% 26.26/14.96 ----------------------
% 26.26/14.96 #Ref : 0
% 26.26/14.96 #Sup : 10771
% 26.26/14.96 #Fact : 0
% 26.26/14.96 #Define : 0
% 26.26/14.96 #Split : 0
% 26.26/14.96 #Chain : 0
% 26.26/14.96 #Close : 0
% 26.26/14.96
% 26.26/14.96 Ordering : KBO
% 26.26/14.96
% 26.26/14.96 Simplification rules
% 26.26/14.96 ----------------------
% 26.26/14.96 #Subsume : 955
% 26.26/14.96 #Demod : 36
% 26.26/14.96 #Tautology : 36
% 26.26/14.96 #SimpNegUnit : 1
% 26.26/14.96 #BackRed : 0
% 26.26/14.96
% 26.26/14.96 #Partial instantiations: 0
% 26.26/14.96 #Strategies tried : 1
% 26.26/14.96
% 26.26/14.96 Timing (in seconds)
% 26.26/14.96 ----------------------
% 26.26/14.96 Preprocessing : 0.61
% 26.26/14.96 Parsing : 0.36
% 26.26/14.96 CNF conversion : 0.04
% 26.26/14.96 Main loop : 13.24
% 26.26/14.96 Inferencing : 2.49
% 26.26/14.96 Reduction : 3.58
% 26.26/14.96 Demodulation : 2.38
% 26.26/14.96 BG Simplification : 0.11
% 26.26/14.96 Subsumption : 6.29
% 26.26/14.96 Abstraction : 0.18
% 26.26/14.96 MUC search : 0.00
% 26.26/14.96 Cooper : 0.00
% 26.26/14.96 Total : 13.91
% 26.26/14.96 Index Insertion : 0.00
% 26.26/14.96 Index Deletion : 0.00
% 26.26/14.96 Index Matching : 0.00
% 26.26/14.96 BG Taut test : 0.00
%------------------------------------------------------------------------------