TSTP Solution File: SYN556-1 by Beagle---0.9.51
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SYN556-1 : 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 : n010.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 11:11:17 EDT 2023
% Result : Timeout 287.61s 223.66s
% Output : None
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 22
% Syntax : Number of formulae : 53 ( 14 unt; 12 typ; 0 def)
% Number of atoms : 103 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 129 ( 67 ~; 62 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 6 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 13 ( 7 >; 6 *; 0 +; 0 <<)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 5 con; 0-3 aty)
% Number of variables : 100 (; 100 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ p3 > p2 > f4 > f8 > f5 > #nlpp > f7 > f6 > c9 > c13 > c12 > c11 > c10
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(f5,type,
f5: ( $i * $i ) > $i ).
tff(c12,type,
c12: $i ).
tff(f7,type,
f7: $i > $i ).
tff(p2,type,
p2: ( $i * $i ) > $o ).
tff(c9,type,
c9: $i ).
tff(c10,type,
c10: $i ).
tff(f6,type,
f6: $i > $i ).
tff(p3,type,
p3: ( $i * $i ) > $o ).
tff(f8,type,
f8: ( $i * $i ) > $i ).
tff(c11,type,
c11: $i ).
tff(f4,type,
f4: ( $i * $i * $i ) > $i ).
tff(c13,type,
c13: $i ).
tff(f_23,axiom,
! [X0] : p2(X0,X0),
file(unknown,unknown) ).
tff(f_25,axiom,
! [X15] : p3(X15,X15),
file(unknown,unknown) ).
tff(f_26,axiom,
p2(c10,c13),
file(unknown,unknown) ).
tff(f_44,axiom,
! [X1,X2,X0] :
( p2(X1,X2)
| ~ p2(X0,X1)
| ~ p2(X0,X2) ),
file(unknown,unknown) ).
tff(f_71,axiom,
! [X11,X12,X13,X14] :
( p2(f8(X11,X12),f8(X13,X14))
| ~ p2(X12,X14)
| ~ p3(X11,X13) ),
file(unknown,unknown) ).
tff(f_63,axiom,
! [X3,X4,X5,X6] :
( p2(f5(X3,X4),f5(X5,X6))
| ~ p2(X3,X5)
| ~ p2(X4,X6) ),
file(unknown,unknown) ).
tff(f_53,axiom,
p3(c9,f4(c13,f5(f8(c11,c13),f6(f7(c12))),c11)),
file(unknown,unknown) ).
tff(f_52,axiom,
! [X16,X17,X15] :
( p3(X16,X17)
| ~ p3(X15,X16)
| ~ p3(X15,X17) ),
file(unknown,unknown) ).
tff(f_82,axiom,
! [X22,X23,X21,X20,X19,X18] :
( p3(f4(X18,X19,X20),f4(X21,X22,X23))
| ~ p2(X19,X22)
| ~ p3(X20,X23)
| ~ p2(X18,X21) ),
file(unknown,unknown) ).
tff(f_55,axiom,
~ p3(c9,f4(c10,f5(f8(c11,c10),f6(f7(c12))),c11)),
file(unknown,unknown) ).
tff(c_2,plain,
! [X0_1] : p2(X0_1,X0_1),
inference(cnfTransformation,[status(thm)],[f_23]) ).
tff(c_4,plain,
! [X15_2] : p3(X15_2,X15_2),
inference(cnfTransformation,[status(thm)],[f_25]) ).
tff(c_6,plain,
p2(c10,c13),
inference(cnfTransformation,[status(thm)],[f_26]) ).
tff(c_38,plain,
! [X0_38,X2_39,X1_40] :
( ~ p2(X0_38,X2_39)
| ~ p2(X0_38,X1_40)
| p2(X1_40,X2_39) ),
inference(cnfTransformation,[status(thm)],[f_44]) ).
tff(c_51,plain,
! [X0_41,X1_42] :
( ~ p2(X0_41,X1_42)
| p2(X1_42,X0_41) ),
inference(resolution,[status(thm)],[c_2,c_38]) ).
tff(c_64,plain,
p2(c13,c10),
inference(resolution,[status(thm)],[c_6,c_51]) ).
tff(c_255,plain,
! [X11_69,X13_70,X12_71,X14_72] :
( ~ p3(X11_69,X13_70)
| ~ p2(X12_71,X14_72)
| p2(f8(X11_69,X12_71),f8(X13_70,X14_72)) ),
inference(cnfTransformation,[status(thm)],[f_71]) ).
tff(c_49,plain,
! [X0_1,X1_40] :
( ~ p2(X0_1,X1_40)
| p2(X1_40,X0_1) ),
inference(resolution,[status(thm)],[c_2,c_38]) ).
tff(c_2108,plain,
! [X13_160,X14_161,X11_162,X12_163] :
( p2(f8(X13_160,X14_161),f8(X11_162,X12_163))
| ~ p3(X11_162,X13_160)
| ~ p2(X12_163,X14_161) ),
inference(resolution,[status(thm)],[c_255,c_49]) ).
tff(c_12,plain,
! [X0_9,X2_8,X1_7] :
( ~ p2(X0_9,X2_8)
| ~ p2(X0_9,X1_7)
| p2(X1_7,X2_8) ),
inference(cnfTransformation,[status(thm)],[f_44]) ).
tff(c_267,plain,
! [X13_70,X11_69,X14_72,X1_7,X12_71] :
( ~ p2(f8(X11_69,X12_71),X1_7)
| p2(X1_7,f8(X13_70,X14_72))
| ~ p3(X11_69,X13_70)
| ~ p2(X12_71,X14_72) ),
inference(resolution,[status(thm)],[c_255,c_12]) ).
tff(c_31299,plain,
! [X14_591,X14_590,X13_594,X12_595,X11_593,X13_592] :
( p2(f8(X11_593,X12_595),f8(X13_594,X14_590))
| ~ p3(X13_592,X13_594)
| ~ p2(X14_591,X14_590)
| ~ p3(X11_593,X13_592)
| ~ p2(X12_595,X14_591) ),
inference(resolution,[status(thm)],[c_2108,c_267]) ).
tff(c_110692,plain,
! [X11_1321,X12_1317,X14_1319,X14_1318,X15_1320] :
( p2(f8(X11_1321,X12_1317),f8(X15_1320,X14_1318))
| ~ p2(X14_1319,X14_1318)
| ~ p3(X11_1321,X15_1320)
| ~ p2(X12_1317,X14_1319) ),
inference(resolution,[status(thm)],[c_4,c_31299]) ).
tff(c_112702,plain,
! [X11_1330,X12_1331,X15_1332] :
( p2(f8(X11_1330,X12_1331),f8(X15_1332,c10))
| ~ p3(X11_1330,X15_1332)
| ~ p2(X12_1331,c13) ),
inference(resolution,[status(thm)],[c_64,c_110692]) ).
tff(c_112992,plain,
! [X15_1332,X11_1330,X12_1331] :
( p2(f8(X15_1332,c10),f8(X11_1330,X12_1331))
| ~ p3(X11_1330,X15_1332)
| ~ p2(X12_1331,c13) ),
inference(resolution,[status(thm)],[c_112702,c_49]) ).
tff(c_156,plain,
! [X4_58,X6_59,X3_60,X5_61] :
( ~ p2(X4_58,X6_59)
| ~ p2(X3_60,X5_61)
| p2(f5(X3_60,X4_58),f5(X5_61,X6_59)) ),
inference(cnfTransformation,[status(thm)],[f_63]) ).
tff(c_164,plain,
! [X5_61,X6_59,X3_60,X4_58] :
( p2(f5(X5_61,X6_59),f5(X3_60,X4_58))
| ~ p2(X4_58,X6_59)
| ~ p2(X3_60,X5_61) ),
inference(resolution,[status(thm)],[c_156,c_49]) ).
tff(c_16,plain,
p3(c9,f4(c13,f5(f8(c11,c13),f6(f7(c12))),c11)),
inference(cnfTransformation,[status(thm)],[f_53]) ).
tff(c_29,plain,
! [X15_33,X17_34,X16_35] :
( ~ p3(X15_33,X17_34)
| ~ p3(X15_33,X16_35)
| p3(X16_35,X17_34) ),
inference(cnfTransformation,[status(thm)],[f_52]) ).
tff(c_32,plain,
! [X15_2,X16_35] :
( ~ p3(X15_2,X16_35)
| p3(X16_35,X15_2) ),
inference(resolution,[status(thm)],[c_4,c_29]) ).
tff(c_69,plain,
p3(f4(c13,f5(f8(c11,c13),f6(f7(c12))),c11),c9),
inference(resolution,[status(thm)],[c_16,c_32]) ).
tff(c_316,plain,
! [X21_78,X23_80,X22_79,X19_76,X18_81,X20_77] :
( ~ p2(X18_81,X21_78)
| ~ p3(X20_77,X23_80)
| ~ p2(X19_76,X22_79)
| p3(f4(X18_81,X19_76,X20_77),f4(X21_78,X22_79,X23_80)) ),
inference(cnfTransformation,[status(thm)],[f_82]) ).
tff(c_14,plain,
! [X15_12,X17_11,X16_10] :
( ~ p3(X15_12,X17_11)
| ~ p3(X15_12,X16_10)
| p3(X16_10,X17_11) ),
inference(cnfTransformation,[status(thm)],[f_52]) ).
tff(c_322,plain,
! [X21_78,X23_80,X22_79,X19_76,X16_10,X18_81,X20_77] :
( ~ p3(f4(X18_81,X19_76,X20_77),X16_10)
| p3(X16_10,f4(X21_78,X22_79,X23_80))
| ~ p2(X18_81,X21_78)
| ~ p3(X20_77,X23_80)
| ~ p2(X19_76,X22_79) ),
inference(resolution,[status(thm)],[c_316,c_14]) ).
tff(c_36358,plain,
! [X21_648,X22_649,X23_650] :
( p3(c9,f4(X21_648,X22_649,X23_650))
| ~ p2(c13,X21_648)
| ~ p3(c11,X23_650)
| ~ p2(f5(f8(c11,c13),f6(f7(c12))),X22_649) ),
inference(resolution,[status(thm)],[c_69,c_322]) ).
tff(c_493606,plain,
! [X21_3280,X3_3281,X4_3282,X23_3283] :
( p3(c9,f4(X21_3280,f5(X3_3281,X4_3282),X23_3283))
| ~ p2(c13,X21_3280)
| ~ p3(c11,X23_3283)
| ~ p2(X4_3282,f6(f7(c12)))
| ~ p2(X3_3281,f8(c11,c13)) ),
inference(resolution,[status(thm)],[c_164,c_36358]) ).
tff(c_18,plain,
~ p3(c9,f4(c10,f5(f8(c11,c10),f6(f7(c12))),c11)),
inference(cnfTransformation,[status(thm)],[f_55]) ).
tff(c_493685,plain,
( ~ p2(c13,c10)
| ~ p3(c11,c11)
| ~ p2(f6(f7(c12)),f6(f7(c12)))
| ~ p2(f8(c11,c10),f8(c11,c13)) ),
inference(resolution,[status(thm)],[c_493606,c_18]) ).
tff(c_493732,plain,
~ p2(f8(c11,c10),f8(c11,c13)),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_4,c_64,c_493685]) ).
tff(c_493737,plain,
( ~ p3(c11,c11)
| ~ p2(c13,c13) ),
inference(resolution,[status(thm)],[c_112992,c_493732]) ).
tff(c_493756,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_4,c_493737]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SYN556-1 : TPTP v8.1.2. Released v2.5.0.
% 0.13/0.14 % 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 : n010.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
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Thu Aug 3 17:21:59 EDT 2023
% 0.14/0.36 % CPUTime :
% 287.61/223.66 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 287.61/223.67
% 287.61/223.67 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 287.61/223.70
% 287.61/223.70 Inference rules
% 287.61/223.70 ----------------------
% 287.61/223.70 #Ref : 0
% 287.61/223.70 #Sup : 155716
% 287.61/223.70 #Fact : 0
% 287.61/223.70 #Define : 0
% 287.61/223.70 #Split : 129
% 287.61/223.70 #Chain : 0
% 287.61/223.70 #Close : 0
% 287.61/223.70
% 287.61/223.70 Ordering : KBO
% 287.61/223.70
% 287.61/223.70 Simplification rules
% 287.61/223.70 ----------------------
% 287.61/223.70 #Subsume : 28074
% 287.61/223.70 #Demod : 5836
% 287.61/223.70 #Tautology : 1292
% 287.61/223.70 #SimpNegUnit : 1
% 287.61/223.70 #BackRed : 1
% 287.61/223.70
% 287.61/223.70 #Partial instantiations: 0
% 287.61/223.70 #Strategies tried : 1
% 287.61/223.70
% 287.61/223.70 Timing (in seconds)
% 287.61/223.70 ----------------------
% 287.61/223.71 Preprocessing : 0.45
% 287.61/223.71 Parsing : 0.25
% 287.61/223.71 CNF conversion : 0.02
% 287.61/223.71 Main loop : 222.18
% 287.61/223.71 Inferencing : 6.10
% 287.61/223.71 Reduction : 21.68
% 287.61/223.71 Demodulation : 10.99
% 287.61/223.71 BG Simplification : 0.71
% 287.61/223.71 Subsumption : 173.87
% 287.61/223.71 Abstraction : 1.07
% 287.61/223.71 MUC search : 0.00
% 287.61/223.71 Cooper : 0.00
% 287.61/223.71 Total : 222.68
% 287.61/223.71 Index Insertion : 0.00
% 287.61/223.71 Index Deletion : 0.00
% 287.61/223.71 Index Matching : 0.00
% 287.61/223.71 BG Taut test : 0.00
%------------------------------------------------------------------------------