TSTP Solution File: SYN591-1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SYN591-1 : 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 : n024.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 11:11:23 EDT 2023
% Result : Unsatisfiable 76.49s 56.05s
% Output : CNFRefutation 76.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 29
% Syntax : Number of formulae : 60 ( 15 unt; 17 typ; 0 def)
% Number of atoms : 99 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 111 ( 55 ~; 56 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 18 ( 11 >; 7 *; 0 +; 0 <<)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-2 aty)
% Number of variables : 69 (; 69 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ p7 > p3 > p2 > p12 > p11 > p10 > p9 > p8 > f4 > #nlpp > f6 > f5 > c18 > c17 > c16 > c15 > c14 > c13
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(c16,type,
c16: $i ).
tff(p2,type,
p2: ( $i * $i ) > $o ).
tff(c14,type,
c14: $i ).
tff(p8,type,
p8: $i > $o ).
tff(c17,type,
c17: $i ).
tff(p11,type,
p11: ( $i * $i ) > $o ).
tff(c15,type,
c15: $i ).
tff(f5,type,
f5: $i > $i ).
tff(f6,type,
f6: $i > $i ).
tff(p3,type,
p3: ( $i * $i ) > $o ).
tff(f4,type,
f4: ( $i * $i ) > $i ).
tff(c18,type,
c18: $i ).
tff(p10,type,
p10: ( $i * $i ) > $o ).
tff(c13,type,
c13: $i ).
tff(p7,type,
p7: ( $i * $i ) > $o ).
tff(p9,type,
p9: $i > $o ).
tff(p12,type,
p12: ( $i * $i ) > $o ).
tff(f_27,axiom,
! [X15] : p2(X15,X15),
file(unknown,unknown) ).
tff(f_37,axiom,
p12(c14,f4(c18,c17)),
file(unknown,unknown) ).
tff(f_101,axiom,
! [X20] :
( p2(f6(X20),f5(X20))
| ~ p12(c14,f4(X20,c17)) ),
file(unknown,unknown) ).
tff(f_88,axiom,
! [X16,X17,X15] :
( p2(X16,X17)
| ~ p2(X15,X16)
| ~ p2(X15,X17) ),
file(unknown,unknown) ).
tff(f_142,axiom,
! [X26,X27,X28,X29] :
( p3(f4(X26,X27),f4(X28,X29))
| ~ p2(X26,X28)
| ~ p2(X27,X29) ),
file(unknown,unknown) ).
tff(f_25,axiom,
! [X30] : p7(X30,X30),
file(unknown,unknown) ).
tff(f_29,axiom,
! [X23] : p3(X23,X23),
file(unknown,unknown) ).
tff(f_96,axiom,
! [X24,X25,X23] :
( p3(X24,X25)
| ~ p3(X23,X24)
| ~ p3(X23,X25) ),
file(unknown,unknown) ).
tff(f_149,axiom,
! [X9] :
( p11(c13,f4(c17,f5(X9)))
| p11(c13,f4(f5(X9),c17))
| ~ p12(c14,f4(X9,c17)) ),
file(unknown,unknown) ).
tff(f_134,axiom,
! [X5,X6,X8,X7] :
( p11(X5,X6)
| ~ p3(X8,X6)
| ~ p7(X7,X5)
| ~ p11(X7,X8) ),
file(unknown,unknown) ).
tff(f_41,axiom,
~ p11(c13,f4(f6(c18),c17)),
file(unknown,unknown) ).
tff(f_39,axiom,
~ p11(c13,f4(c17,f6(c18))),
file(unknown,unknown) ).
tff(c_8,plain,
! [X15_2] : p2(X15_2,X15_2),
inference(cnfTransformation,[status(thm)],[f_27]) ).
tff(c_22,plain,
p12(c14,f4(c18,c17)),
inference(cnfTransformation,[status(thm)],[f_37]) ).
tff(c_118,plain,
! [X20_71] :
( ~ p12(c14,f4(X20_71,c17))
| p2(f6(X20_71),f5(X20_71)) ),
inference(cnfTransformation,[status(thm)],[f_101]) ).
tff(c_90,plain,
! [X15_64,X17_65,X16_66] :
( ~ p2(X15_64,X17_65)
| ~ p2(X15_64,X16_66)
| p2(X16_66,X17_65) ),
inference(cnfTransformation,[status(thm)],[f_88]) ).
tff(c_99,plain,
! [X15_2,X16_66] :
( ~ p2(X15_2,X16_66)
| p2(X16_66,X15_2) ),
inference(resolution,[status(thm)],[c_8,c_90]) ).
tff(c_123,plain,
! [X20_71] :
( p2(f5(X20_71),f6(X20_71))
| ~ p12(c14,f4(X20_71,c17)) ),
inference(resolution,[status(thm)],[c_118,c_99]) ).
tff(c_52,plain,
! [X27_37,X29_39,X26_36,X28_38] :
( ~ p2(X27_37,X29_39)
| ~ p2(X26_36,X28_38)
| p3(f4(X26_36,X27_37),f4(X28_38,X29_39)) ),
inference(cnfTransformation,[status(thm)],[f_142]) ).
tff(c_6,plain,
! [X30_1] : p7(X30_1,X30_1),
inference(cnfTransformation,[status(thm)],[f_25]) ).
tff(c_44,plain,
! [X20_23] :
( ~ p12(c14,f4(X20_23,c17))
| p2(f6(X20_23),f5(X20_23)) ),
inference(cnfTransformation,[status(thm)],[f_101]) ).
tff(c_324,plain,
! [X27_120,X29_121,X26_122,X28_123] :
( ~ p2(X27_120,X29_121)
| ~ p2(X26_122,X28_123)
| p3(f4(X26_122,X27_120),f4(X28_123,X29_121)) ),
inference(cnfTransformation,[status(thm)],[f_142]) ).
tff(c_10,plain,
! [X23_3] : p3(X23_3,X23_3),
inference(cnfTransformation,[status(thm)],[f_29]) ).
tff(c_72,plain,
! [X23_54,X25_55,X24_56] :
( ~ p3(X23_54,X25_55)
| ~ p3(X23_54,X24_56)
| p3(X24_56,X25_55) ),
inference(cnfTransformation,[status(thm)],[f_96]) ).
tff(c_75,plain,
! [X23_3,X24_56] :
( ~ p3(X23_3,X24_56)
| p3(X24_56,X23_3) ),
inference(resolution,[status(thm)],[c_10,c_72]) ).
tff(c_334,plain,
! [X28_123,X29_121,X26_122,X27_120] :
( p3(f4(X28_123,X29_121),f4(X26_122,X27_120))
| ~ p2(X27_120,X29_121)
| ~ p2(X26_122,X28_123) ),
inference(resolution,[status(thm)],[c_324,c_75]) ).
tff(c_370,plain,
! [X9_130] :
( ~ p12(c14,f4(X9_130,c17))
| p11(c13,f4(f5(X9_130),c17))
| p11(c13,f4(c17,f5(X9_130))) ),
inference(cnfTransformation,[status(thm)],[f_149]) ).
tff(c_50,plain,
! [X7_35,X8_34,X5_32,X6_33] :
( ~ p11(X7_35,X8_34)
| ~ p7(X7_35,X5_32)
| ~ p3(X8_34,X6_33)
| p11(X5_32,X6_33) ),
inference(cnfTransformation,[status(thm)],[f_134]) ).
tff(c_1393,plain,
! [X5_218,X9_219,X6_220] :
( ~ p7(c13,X5_218)
| ~ p3(f4(f5(X9_219),c17),X6_220)
| p11(X5_218,X6_220)
| ~ p12(c14,f4(X9_219,c17))
| p11(c13,f4(c17,f5(X9_219))) ),
inference(resolution,[status(thm)],[c_370,c_50]) ).
tff(c_2517,plain,
! [X9_275,X6_276] :
( ~ p3(f4(f5(X9_275),c17),X6_276)
| p11(c13,X6_276)
| ~ p12(c14,f4(X9_275,c17))
| p11(c13,f4(c17,f5(X9_275))) ),
inference(resolution,[status(thm)],[c_6,c_1393]) ).
tff(c_22460,plain,
! [X26_796,X27_797,X9_798] :
( p11(c13,f4(X26_796,X27_797))
| ~ p12(c14,f4(X9_798,c17))
| p11(c13,f4(c17,f5(X9_798)))
| ~ p2(X27_797,c17)
| ~ p2(X26_796,f5(X9_798)) ),
inference(resolution,[status(thm)],[c_334,c_2517]) ).
tff(c_167068,plain,
! [X20_2307,X27_2308] :
( p11(c13,f4(f6(X20_2307),X27_2308))
| p11(c13,f4(c17,f5(X20_2307)))
| ~ p2(X27_2308,c17)
| ~ p12(c14,f4(X20_2307,c17)) ),
inference(resolution,[status(thm)],[c_44,c_22460]) ).
tff(c_26,plain,
~ p11(c13,f4(f6(c18),c17)),
inference(cnfTransformation,[status(thm)],[f_41]) ).
tff(c_167073,plain,
( p11(c13,f4(c17,f5(c18)))
| ~ p2(c17,c17)
| ~ p12(c14,f4(c18,c17)) ),
inference(resolution,[status(thm)],[c_167068,c_26]) ).
tff(c_167077,plain,
p11(c13,f4(c17,f5(c18))),
inference(demodulation,[status(thm),theory(equality)],[c_22,c_8,c_167073]) ).
tff(c_167081,plain,
! [X5_2309,X6_2310] :
( ~ p7(c13,X5_2309)
| ~ p3(f4(c17,f5(c18)),X6_2310)
| p11(X5_2309,X6_2310) ),
inference(resolution,[status(thm)],[c_167077,c_50]) ).
tff(c_167086,plain,
! [X6_2311] :
( ~ p3(f4(c17,f5(c18)),X6_2311)
| p11(c13,X6_2311) ),
inference(resolution,[status(thm)],[c_6,c_167081]) ).
tff(c_167128,plain,
! [X28_2312,X29_2313] :
( p11(c13,f4(X28_2312,X29_2313))
| ~ p2(f5(c18),X29_2313)
| ~ p2(c17,X28_2312) ),
inference(resolution,[status(thm)],[c_52,c_167086]) ).
tff(c_167155,plain,
! [X28_2312] :
( p11(c13,f4(X28_2312,f6(c18)))
| ~ p2(c17,X28_2312)
| ~ p12(c14,f4(c18,c17)) ),
inference(resolution,[status(thm)],[c_123,c_167128]) ).
tff(c_167183,plain,
! [X28_2314] :
( p11(c13,f4(X28_2314,f6(c18)))
| ~ p2(c17,X28_2314) ),
inference(demodulation,[status(thm),theory(equality)],[c_22,c_167155]) ).
tff(c_24,plain,
~ p11(c13,f4(c17,f6(c18))),
inference(cnfTransformation,[status(thm)],[f_39]) ).
tff(c_167188,plain,
~ p2(c17,c17),
inference(resolution,[status(thm)],[c_167183,c_24]) ).
tff(c_167193,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_8,c_167188]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SYN591-1 : TPTP v8.1.2. Released v2.5.0.
% 0.11/0.13 % 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
% 0.13/0.34 % Computer : n024.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Thu Aug 3 17:24:00 EDT 2023
% 0.13/0.34 % CPUTime :
% 76.49/56.05 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 76.49/56.06
% 76.49/56.06 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 76.60/56.09
% 76.60/56.09 Inference rules
% 76.60/56.09 ----------------------
% 76.60/56.09 #Ref : 0
% 76.60/56.09 #Sup : 54617
% 76.60/56.09 #Fact : 0
% 76.60/56.09 #Define : 0
% 76.60/56.09 #Split : 0
% 76.60/56.09 #Chain : 0
% 76.60/56.09 #Close : 0
% 76.60/56.09
% 76.60/56.09 Ordering : KBO
% 76.60/56.09
% 76.60/56.09 Simplification rules
% 76.60/56.09 ----------------------
% 76.60/56.09 #Subsume : 1846
% 76.60/56.09 #Demod : 17
% 76.60/56.09 #Tautology : 13
% 76.60/56.09 #SimpNegUnit : 0
% 76.60/56.09 #BackRed : 0
% 76.60/56.09
% 76.60/56.09 #Partial instantiations: 0
% 76.60/56.09 #Strategies tried : 1
% 76.60/56.09
% 76.60/56.09 Timing (in seconds)
% 76.60/56.09 ----------------------
% 76.60/56.09 Preprocessing : 0.46
% 76.60/56.09 Parsing : 0.26
% 76.60/56.09 CNF conversion : 0.03
% 76.60/56.09 Main loop : 54.58
% 76.60/56.09 Inferencing : 2.11
% 76.60/56.09 Reduction : 3.73
% 76.60/56.09 Demodulation : 2.31
% 76.60/56.09 BG Simplification : 0.33
% 76.60/56.09 Subsumption : 45.17
% 76.60/56.09 Abstraction : 0.47
% 76.60/56.09 MUC search : 0.00
% 76.60/56.09 Cooper : 0.00
% 76.60/56.09 Total : 55.09
% 76.60/56.09 Index Insertion : 0.00
% 76.60/56.09 Index Deletion : 0.00
% 76.60/56.09 Index Matching : 0.00
% 76.60/56.09 BG Taut test : 0.00
%------------------------------------------------------------------------------