TSTP Solution File: SYN565-1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SYN565-1 : 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 : n005.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 11:11:19 EDT 2023
% Result : Unsatisfiable 31.77s 20.01s
% Output : CNFRefutation 31.77s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 25
% Syntax : Number of formulae : 61 ( 19 unt; 11 typ; 0 def)
% Number of atoms : 99 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 102 ( 53 ~; 49 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 16 ( 9 >; 7 *; 0 +; 0 <<)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 2 con; 0-2 aty)
% Number of variables : 113 (; 113 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ p4 > p2 > p10 > f9 > f8 > f6 > f3 > #nlpp > f7 > f5 > c12 > c11
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(p4,type,
p4: ( $i * $i ) > $o ).
tff(c12,type,
c12: $i ).
tff(f7,type,
f7: $i > $i ).
tff(f9,type,
f9: ( $i * $i ) > $i ).
tff(p2,type,
p2: ( $i * $i ) > $o ).
tff(f5,type,
f5: $i > $i ).
tff(f8,type,
f8: ( $i * $i ) > $i ).
tff(c11,type,
c11: $i ).
tff(p10,type,
p10: ( $i * $i ) > $o ).
tff(f3,type,
f3: ( $i * $i ) > $i ).
tff(f6,type,
f6: ( $i * $i ) > $i ).
tff(f_25,axiom,
! [X23] : p4(X23,X23),
file(unknown,unknown) ).
tff(f_29,axiom,
! [X38,X39] : p4(f8(X38,X39),f6(X38,f7(X39))),
file(unknown,unknown) ).
tff(f_31,axiom,
! [X32,X33] : p4(f7(f8(X32,X33)),f8(X33,X32)),
file(unknown,unknown) ).
tff(f_41,axiom,
! [X30,X31] :
( p4(f7(X30),f7(X31))
| ~ p4(X30,X31) ),
file(unknown,unknown) ).
tff(f_57,axiom,
! [X24,X25,X23] :
( p4(X24,X25)
| ~ p4(X23,X24)
| ~ p4(X23,X25) ),
file(unknown,unknown) ).
tff(f_36,axiom,
! [X16,X17] :
( p2(f5(X16),f5(X17))
| ~ p4(X16,X17) ),
file(unknown,unknown) ).
tff(f_27,axiom,
! [X18] : p2(f5(f7(X18)),f5(X18)),
file(unknown,unknown) ).
tff(f_49,axiom,
! [X10,X11,X9] :
( p2(X10,X11)
| ~ p2(X9,X10)
| ~ p2(X9,X11) ),
file(unknown,unknown) ).
tff(f_23,axiom,
! [X9] : p2(X9,X9),
file(unknown,unknown) ).
tff(f_98,axiom,
! [X12,X13,X14,X15] :
( p2(f3(X12,X13),f3(X14,X15))
| ~ p2(X12,X14)
| ~ p2(X13,X15) ),
file(unknown,unknown) ).
tff(f_59,axiom,
! [X7,X8] : p10(f5(X7),f3(f5(f6(X7,X8)),f5(X8))),
file(unknown,unknown) ).
tff(f_82,axiom,
! [X0,X1,X2,X3] :
( p10(X0,X1)
| ~ p2(X2,X0)
| ~ p2(X3,X1)
| ~ p10(X2,X3) ),
file(unknown,unknown) ).
tff(f_71,axiom,
! [X4,X6,X5] :
( p10(f9(X4,X6),X5)
| ~ p10(X4,f3(X5,X6)) ),
file(unknown,unknown) ).
tff(f_61,axiom,
~ p10(f9(f5(c11),f5(c12)),f5(f8(c12,c11))),
file(unknown,unknown) ).
tff(c_4,plain,
! [X23_2] : p4(X23_2,X23_2),
inference(cnfTransformation,[status(thm)],[f_25]) ).
tff(c_8,plain,
! [X38_4,X39_5] : p4(f8(X38_4,X39_5),f6(X38_4,f7(X39_5))),
inference(cnfTransformation,[status(thm)],[f_29]) ).
tff(c_10,plain,
! [X32_6,X33_7] : p4(f7(f8(X32_6,X33_7)),f8(X33_7,X32_6)),
inference(cnfTransformation,[status(thm)],[f_31]) ).
tff(c_14,plain,
! [X30_10,X31_11] :
( ~ p4(X30_10,X31_11)
| p4(f7(X30_10),f7(X31_11)) ),
inference(cnfTransformation,[status(thm)],[f_41]) ).
tff(c_44,plain,
! [X23_57,X25_58,X24_59] :
( ~ p4(X23_57,X25_58)
| ~ p4(X23_57,X24_59)
| p4(X24_59,X25_58) ),
inference(cnfTransformation,[status(thm)],[f_57]) ).
tff(c_827,plain,
! [X30_164,X24_165,X31_166] :
( ~ p4(f7(X30_164),X24_165)
| p4(X24_165,f7(X31_166))
| ~ p4(X30_164,X31_166) ),
inference(resolution,[status(thm)],[c_14,c_44]) ).
tff(c_1001,plain,
! [X33_187,X32_188,X31_189] :
( p4(f8(X33_187,X32_188),f7(X31_189))
| ~ p4(f8(X32_188,X33_187),X31_189) ),
inference(resolution,[status(thm)],[c_10,c_827]) ).
tff(c_843,plain,
! [X31_11,X31_166,X30_10] :
( p4(f7(X31_11),f7(X31_166))
| ~ p4(X30_10,X31_166)
| ~ p4(X30_10,X31_11) ),
inference(resolution,[status(thm)],[c_14,c_827]) ).
tff(c_51100,plain,
! [X31_1316,X31_1317,X33_1318,X32_1319] :
( p4(f7(X31_1316),f7(f7(X31_1317)))
| ~ p4(f8(X33_1318,X32_1319),X31_1316)
| ~ p4(f8(X32_1319,X33_1318),X31_1317) ),
inference(resolution,[status(thm)],[c_1001,c_843]) ).
tff(c_73512,plain,
! [X38_1650,X39_1651,X31_1652] :
( p4(f7(f6(X38_1650,f7(X39_1651))),f7(f7(X31_1652)))
| ~ p4(f8(X39_1651,X38_1650),X31_1652) ),
inference(resolution,[status(thm)],[c_8,c_51100]) ).
tff(c_12,plain,
! [X16_8,X17_9] :
( ~ p4(X16_8,X17_9)
| p2(f5(X16_8),f5(X17_9)) ),
inference(cnfTransformation,[status(thm)],[f_36]) ).
tff(c_6,plain,
! [X18_3] : p2(f5(f7(X18_3)),f5(X18_3)),
inference(cnfTransformation,[status(thm)],[f_27]) ).
tff(c_71,plain,
! [X9_62,X11_63,X10_64] :
( ~ p2(X9_62,X11_63)
| ~ p2(X9_62,X10_64)
| p2(X10_64,X11_63) ),
inference(cnfTransformation,[status(thm)],[f_49]) ).
tff(c_130,plain,
! [X18_76,X10_77] :
( ~ p2(f5(f7(X18_76)),X10_77)
| p2(X10_77,f5(X18_76)) ),
inference(resolution,[status(thm)],[c_6,c_71]) ).
tff(c_152,plain,
! [X17_9,X18_76] :
( p2(f5(X17_9),f5(X18_76))
| ~ p4(f7(X18_76),X17_9) ),
inference(resolution,[status(thm)],[c_12,c_130]) ).
tff(c_2,plain,
! [X9_1] : p2(X9_1,X9_1),
inference(cnfTransformation,[status(thm)],[f_23]) ).
tff(c_81,plain,
! [X9_65,X10_66] :
( ~ p2(X9_65,X10_66)
| p2(X10_66,X9_65) ),
inference(resolution,[status(thm)],[c_2,c_71]) ).
tff(c_89,plain,
! [X18_3] : p2(f5(X18_3),f5(f7(X18_3))),
inference(resolution,[status(thm)],[c_6,c_81]) ).
tff(c_157,plain,
! [X18_78] : p2(f5(f7(f7(X18_78))),f5(X18_78)),
inference(resolution,[status(thm)],[c_89,c_130]) ).
tff(c_16,plain,
! [X9_14,X11_13,X10_12] :
( ~ p2(X9_14,X11_13)
| ~ p2(X9_14,X10_12)
| p2(X10_12,X11_13) ),
inference(cnfTransformation,[status(thm)],[f_49]) ).
tff(c_353,plain,
! [X18_112,X10_113] :
( ~ p2(f5(f7(f7(X18_112))),X10_113)
| p2(X10_113,f5(X18_112)) ),
inference(resolution,[status(thm)],[c_157,c_16]) ).
tff(c_427,plain,
! [X18_76,X18_112] :
( p2(f5(X18_76),f5(X18_112))
| ~ p4(f7(X18_76),f7(f7(X18_112))) ),
inference(resolution,[status(thm)],[c_152,c_353]) ).
tff(c_73994,plain,
! [X38_1650,X39_1651,X31_1652] :
( p2(f5(f6(X38_1650,f7(X39_1651))),f5(X31_1652))
| ~ p4(f8(X39_1651,X38_1650),X31_1652) ),
inference(resolution,[status(thm)],[c_73512,c_427]) ).
tff(c_32,plain,
! [X13_35,X15_37,X12_34,X14_36] :
( ~ p2(X13_35,X15_37)
| ~ p2(X12_34,X14_36)
| p2(f3(X12_34,X13_35),f3(X14_36,X15_37)) ),
inference(cnfTransformation,[status(thm)],[f_98]) ).
tff(c_20,plain,
! [X7_18,X8_19] : p10(f5(X7_18),f3(f5(f6(X7_18,X8_19)),f5(X8_19))),
inference(cnfTransformation,[status(thm)],[f_59]) ).
tff(c_329,plain,
! [X2_106,X3_107,X1_108,X0_109] :
( ~ p10(X2_106,X3_107)
| ~ p2(X3_107,X1_108)
| ~ p2(X2_106,X0_109)
| p10(X0_109,X1_108) ),
inference(cnfTransformation,[status(thm)],[f_82]) ).
tff(c_1952,plain,
! [X7_255,X8_256,X1_257,X0_258] :
( ~ p2(f3(f5(f6(X7_255,X8_256)),f5(X8_256)),X1_257)
| ~ p2(f5(X7_255),X0_258)
| p10(X0_258,X1_257) ),
inference(resolution,[status(thm)],[c_20,c_329]) ).
tff(c_14016,plain,
! [X0_599,X7_601,X14_602,X15_600,X8_603] :
( ~ p2(f5(X7_601),X0_599)
| p10(X0_599,f3(X14_602,X15_600))
| ~ p2(f5(X8_603),X15_600)
| ~ p2(f5(f6(X7_601,X8_603)),X14_602) ),
inference(resolution,[status(thm)],[c_32,c_1952]) ).
tff(c_31871,plain,
! [X7_986,X14_987,X15_988,X8_989] :
( p10(f5(X7_986),f3(X14_987,X15_988))
| ~ p2(f5(X8_989),X15_988)
| ~ p2(f5(f6(X7_986,X8_989)),X14_987) ),
inference(resolution,[status(thm)],[c_2,c_14016]) ).
tff(c_78085,plain,
! [X7_1708,X14_1709,X18_1710] :
( p10(f5(X7_1708),f3(X14_1709,f5(X18_1710)))
| ~ p2(f5(f6(X7_1708,f7(X18_1710))),X14_1709) ),
inference(resolution,[status(thm)],[c_6,c_31871]) ).
tff(c_80173,plain,
! [X38_1753,X31_1754,X39_1755] :
( p10(f5(X38_1753),f3(f5(X31_1754),f5(X39_1755)))
| ~ p4(f8(X39_1755,X38_1753),X31_1754) ),
inference(resolution,[status(thm)],[c_73994,c_78085]) ).
tff(c_169,plain,
! [X4_79,X5_80,X6_81] :
( ~ p10(X4_79,f3(X5_80,X6_81))
| p10(f9(X4_79,X6_81),X5_80) ),
inference(cnfTransformation,[status(thm)],[f_71]) ).
tff(c_22,plain,
~ p10(f9(f5(c11),f5(c12)),f5(f8(c12,c11))),
inference(cnfTransformation,[status(thm)],[f_61]) ).
tff(c_173,plain,
~ p10(f5(c11),f3(f5(f8(c12,c11)),f5(c12))),
inference(resolution,[status(thm)],[c_169,c_22]) ).
tff(c_80188,plain,
~ p4(f8(c12,c11),f8(c12,c11)),
inference(resolution,[status(thm)],[c_80173,c_173]) ).
tff(c_80197,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_80188]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : SYN565-1 : TPTP v8.1.2. Released v2.5.0.
% 0.00/0.15 % 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
% 0.15/0.36 % Computer : n005.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Thu Aug 3 17:14:42 EDT 2023
% 0.15/0.36 % CPUTime :
% 31.77/20.01 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 31.77/20.01
% 31.77/20.01 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 31.77/20.05
% 31.77/20.05 Inference rules
% 31.77/20.05 ----------------------
% 31.77/20.05 #Ref : 0
% 31.77/20.05 #Sup : 23331
% 31.77/20.05 #Fact : 0
% 31.77/20.05 #Define : 0
% 31.77/20.05 #Split : 2
% 31.77/20.05 #Chain : 0
% 31.77/20.05 #Close : 0
% 31.77/20.05
% 31.77/20.05 Ordering : KBO
% 31.77/20.05
% 31.77/20.05 Simplification rules
% 31.77/20.05 ----------------------
% 31.77/20.05 #Subsume : 3464
% 31.77/20.05 #Demod : 387
% 31.77/20.05 #Tautology : 408
% 31.77/20.05 #SimpNegUnit : 0
% 31.77/20.05 #BackRed : 0
% 31.77/20.05
% 31.77/20.05 #Partial instantiations: 0
% 31.77/20.05 #Strategies tried : 1
% 31.77/20.05
% 31.77/20.05 Timing (in seconds)
% 31.77/20.05 ----------------------
% 31.77/20.05 Preprocessing : 0.47
% 31.77/20.05 Parsing : 0.26
% 31.77/20.05 CNF conversion : 0.03
% 31.77/20.05 Main loop : 18.47
% 31.77/20.05 Inferencing : 1.46
% 31.77/20.05 Reduction : 2.18
% 31.77/20.05 Demodulation : 1.50
% 31.77/20.05 BG Simplification : 0.13
% 31.77/20.05 Subsumption : 13.52
% 31.77/20.05 Abstraction : 0.20
% 31.77/20.05 MUC search : 0.00
% 31.77/20.05 Cooper : 0.00
% 31.77/20.05 Total : 19.00
% 31.77/20.05 Index Insertion : 0.00
% 31.77/20.05 Index Deletion : 0.00
% 31.77/20.06 Index Matching : 0.00
% 31.77/20.06 BG Taut test : 0.00
%------------------------------------------------------------------------------