TSTP Solution File: SYN569-1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SYN569-1 : 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 : n028.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 11:11:20 EDT 2023
% Result : Unsatisfiable 20.82s 10.72s
% Output : CNFRefutation 20.82s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 25
% Syntax : Number of formulae : 62 ( 16 unt; 14 typ; 0 def)
% Number of atoms : 110 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 129 ( 67 ~; 62 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 18 ( 9 >; 9 *; 0 +; 0 <<)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-2 aty)
% Number of variables : 66 (; 66 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ p9 > p8 > p6 > p2 > p10 > f7 > f5 > f4 > #nlpp > f3 > c15 > c14 > c13 > c12 > c11
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(f3,type,
f3: $i > $i ).
tff(f5,type,
f5: ( $i * $i ) > $i ).
tff(c12,type,
c12: $i ).
tff(p2,type,
p2: ( $i * $i ) > $o ).
tff(c14,type,
c14: $i ).
tff(p8,type,
p8: ( $i * $i ) > $o ).
tff(f7,type,
f7: ( $i * $i ) > $i ).
tff(c15,type,
c15: $i ).
tff(c11,type,
c11: $i ).
tff(f4,type,
f4: ( $i * $i ) > $i ).
tff(p10,type,
p10: ( $i * $i ) > $o ).
tff(p6,type,
p6: ( $i * $i ) > $o ).
tff(c13,type,
c13: $i ).
tff(p9,type,
p9: ( $i * $i * $i ) > $o ).
tff(f_29,axiom,
p9(c13,c15,c14),
file(unknown,unknown) ).
tff(f_26,axiom,
p8(c14,c12),
file(unknown,unknown) ).
tff(f_28,axiom,
p8(c11,c14),
file(unknown,unknown) ).
tff(f_23,axiom,
! [X6] : p2(X6,X6),
file(unknown,unknown) ).
tff(f_34,axiom,
! [X4,X5] :
( p10(X4,X5)
| ~ p8(X4,X5) ),
file(unknown,unknown) ).
tff(f_71,axiom,
! [X40] :
( p9(c13,f3(X40),X40)
| ~ p10(X40,c12)
| ~ p10(c11,X40) ),
file(unknown,unknown) ).
tff(f_63,axiom,
! [X9,X10,X11,X12] :
( p2(X9,X10)
| ~ p9(X11,X9,X12)
| ~ p9(X11,X10,X12) ),
file(unknown,unknown) ).
tff(f_55,axiom,
! [X7,X8,X6] :
( p2(X7,X8)
| ~ p2(X6,X7)
| ~ p2(X6,X8) ),
file(unknown,unknown) ).
tff(f_94,axiom,
p2(f5(f7(c13,c12),f7(c13,c11)),f4(f5(c12,c11),c15)),
file(unknown,unknown) ).
tff(f_102,axiom,
! [X15,X16,X17,X18] :
( p2(f4(X15,X16),f4(X17,X18))
| ~ p2(X15,X17)
| ~ p2(X16,X18) ),
file(unknown,unknown) ).
tff(f_141,axiom,
! [X41] :
( ~ p8(X41,c12)
| ~ p8(c11,X41)
| ~ p2(f5(f7(c13,c12),f7(c13,c11)),f4(f5(c12,c11),f3(X41))) ),
file(unknown,unknown) ).
tff(c_12,plain,
p9(c13,c15,c14),
inference(cnfTransformation,[status(thm)],[f_29]) ).
tff(c_6,plain,
p8(c14,c12),
inference(cnfTransformation,[status(thm)],[f_26]) ).
tff(c_10,plain,
p8(c11,c14),
inference(cnfTransformation,[status(thm)],[f_28]) ).
tff(c_2,plain,
! [X6_1] : p2(X6_1,X6_1),
inference(cnfTransformation,[status(thm)],[f_23]) ).
tff(c_43,plain,
! [X4_47,X5_48] :
( ~ p8(X4_47,X5_48)
| p10(X4_47,X5_48) ),
inference(cnfTransformation,[status(thm)],[f_34]) ).
tff(c_53,plain,
p10(c14,c12),
inference(resolution,[status(thm)],[c_6,c_43]) ).
tff(c_55,plain,
p10(c11,c14),
inference(resolution,[status(thm)],[c_10,c_43]) ).
tff(c_98,plain,
! [X40_68] :
( ~ p10(c11,X40_68)
| ~ p10(X40_68,c12)
| p9(c13,f3(X40_68),X40_68) ),
inference(cnfTransformation,[status(thm)],[f_71]) ).
tff(c_81,plain,
! [X11_61,X10_62,X12_63,X9_64] :
( ~ p9(X11_61,X10_62,X12_63)
| ~ p9(X11_61,X9_64,X12_63)
| p2(X9_64,X10_62) ),
inference(cnfTransformation,[status(thm)],[f_63]) ).
tff(c_84,plain,
! [X9_64] :
( ~ p9(c13,X9_64,c14)
| p2(X9_64,c15) ),
inference(resolution,[status(thm)],[c_12,c_81]) ).
tff(c_102,plain,
( p2(f3(c14),c15)
| ~ p10(c11,c14)
| ~ p10(c14,c12) ),
inference(resolution,[status(thm)],[c_98,c_84]) ).
tff(c_107,plain,
p2(f3(c14),c15),
inference(demodulation,[status(thm),theory(equality)],[c_53,c_55,c_102]) ).
tff(c_66,plain,
! [X6_56,X8_57,X7_58] :
( ~ p2(X6_56,X8_57)
| ~ p2(X6_56,X7_58)
| p2(X7_58,X8_57) ),
inference(cnfTransformation,[status(thm)],[f_55]) ).
tff(c_72,plain,
! [X6_1,X7_58] :
( ~ p2(X6_1,X7_58)
| p2(X7_58,X6_1) ),
inference(resolution,[status(thm)],[c_2,c_66]) ).
tff(c_123,plain,
p2(c15,f3(c14)),
inference(resolution,[status(thm)],[c_107,c_72]) ).
tff(c_20,plain,
! [X6_12,X8_11,X7_10] :
( ~ p2(X6_12,X8_11)
| ~ p2(X6_12,X7_10)
| p2(X7_10,X8_11) ),
inference(cnfTransformation,[status(thm)],[f_55]) ).
tff(c_131,plain,
! [X7_10] :
( ~ p2(c15,X7_10)
| p2(X7_10,f3(c14)) ),
inference(resolution,[status(thm)],[c_123,c_20]) ).
tff(c_22,plain,
! [X11_15,X10_14,X12_16,X9_13] :
( ~ p9(X11_15,X10_14,X12_16)
| ~ p9(X11_15,X9_13,X12_16)
| p2(X9_13,X10_14) ),
inference(cnfTransformation,[status(thm)],[f_63]) ).
tff(c_1094,plain,
! [X9_159,X40_160] :
( ~ p9(c13,X9_159,X40_160)
| p2(X9_159,f3(X40_160))
| ~ p10(c11,X40_160)
| ~ p10(X40_160,c12) ),
inference(resolution,[status(thm)],[c_98,c_22]) ).
tff(c_5468,plain,
! [X40_304,X9_305] :
( p2(f3(X40_304),X9_305)
| ~ p9(c13,X9_305,X40_304)
| ~ p10(c11,X40_304)
| ~ p10(X40_304,c12) ),
inference(resolution,[status(thm)],[c_1094,c_72]) ).
tff(c_154,plain,
! [X7_74] :
( ~ p2(c15,X7_74)
| p2(X7_74,f3(c14)) ),
inference(resolution,[status(thm)],[c_123,c_20]) ).
tff(c_231,plain,
! [X7_82] :
( p2(f3(c14),X7_82)
| ~ p2(c15,X7_82) ),
inference(resolution,[status(thm)],[c_154,c_72]) ).
tff(c_244,plain,
! [X7_10,X7_82] :
( ~ p2(f3(c14),X7_10)
| p2(X7_10,X7_82)
| ~ p2(c15,X7_82) ),
inference(resolution,[status(thm)],[c_231,c_20]) ).
tff(c_5557,plain,
! [X9_305,X7_82] :
( p2(X9_305,X7_82)
| ~ p2(c15,X7_82)
| ~ p9(c13,X9_305,c14)
| ~ p10(c11,c14)
| ~ p10(c14,c12) ),
inference(resolution,[status(thm)],[c_5468,c_244]) ).
tff(c_6025,plain,
! [X9_315,X7_316] :
( p2(X9_315,X7_316)
| ~ p2(c15,X7_316)
| ~ p9(c13,X9_315,c14) ),
inference(demodulation,[status(thm),theory(equality)],[c_53,c_55,c_5557]) ).
tff(c_6044,plain,
! [X9_315] :
( p2(X9_315,f3(c14))
| ~ p9(c13,X9_315,c14)
| ~ p2(c15,c15) ),
inference(resolution,[status(thm)],[c_131,c_6025]) ).
tff(c_6062,plain,
! [X9_315] :
( p2(X9_315,f3(c14))
| ~ p9(c13,X9_315,c14) ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_6044]) ).
tff(c_30,plain,
p2(f5(f7(c13,c12),f7(c13,c11)),f4(f5(c12,c11),c15)),
inference(cnfTransformation,[status(thm)],[f_94]) ).
tff(c_252,plain,
p2(f4(f5(c12,c11),c15),f5(f7(c13,c12),f7(c13,c11))),
inference(resolution,[status(thm)],[c_30,c_72]) ).
tff(c_356,plain,
! [X16_101,X18_102,X15_103,X17_104] :
( ~ p2(X16_101,X18_102)
| ~ p2(X15_103,X17_104)
| p2(f4(X15_103,X16_101),f4(X17_104,X18_102)) ),
inference(cnfTransformation,[status(thm)],[f_102]) ).
tff(c_365,plain,
! [X16_101,X7_10,X18_102,X17_104,X15_103] :
( ~ p2(f4(X15_103,X16_101),X7_10)
| p2(X7_10,f4(X17_104,X18_102))
| ~ p2(X16_101,X18_102)
| ~ p2(X15_103,X17_104) ),
inference(resolution,[status(thm)],[c_356,c_20]) ).
tff(c_53030,plain,
! [X17_945,X18_946] :
( p2(f5(f7(c13,c12),f7(c13,c11)),f4(X17_945,X18_946))
| ~ p2(c15,X18_946)
| ~ p2(f5(c12,c11),X17_945) ),
inference(resolution,[status(thm)],[c_252,c_365]) ).
tff(c_40,plain,
! [X41_44] :
( ~ p2(f5(f7(c13,c12),f7(c13,c11)),f4(f5(c12,c11),f3(X41_44)))
| ~ p8(c11,X41_44)
| ~ p8(X41_44,c12) ),
inference(cnfTransformation,[status(thm)],[f_141]) ).
tff(c_53156,plain,
! [X41_44] :
( ~ p8(c11,X41_44)
| ~ p8(X41_44,c12)
| ~ p2(c15,f3(X41_44))
| ~ p2(f5(c12,c11),f5(c12,c11)) ),
inference(resolution,[status(thm)],[c_53030,c_40]) ).
tff(c_53230,plain,
! [X41_947] :
( ~ p8(c11,X41_947)
| ~ p8(X41_947,c12)
| ~ p2(c15,f3(X41_947)) ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_53156]) ).
tff(c_53250,plain,
( ~ p8(c11,c14)
| ~ p8(c14,c12)
| ~ p9(c13,c15,c14) ),
inference(resolution,[status(thm)],[c_6062,c_53230]) ).
tff(c_53291,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_12,c_6,c_10,c_53250]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SYN569-1 : TPTP v8.1.2. Released v2.5.0.
% 0.00/0.14 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/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
% 0.13/0.35 % Computer : n028.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Thu Aug 3 17:35:09 EDT 2023
% 0.13/0.35 % CPUTime :
% 20.82/10.72 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 20.82/10.73
% 20.82/10.73 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 20.82/10.76
% 20.82/10.76 Inference rules
% 20.82/10.76 ----------------------
% 20.82/10.76 #Ref : 0
% 20.82/10.76 #Sup : 14252
% 20.82/10.76 #Fact : 0
% 20.82/10.76 #Define : 0
% 20.82/10.76 #Split : 52
% 20.82/10.76 #Chain : 0
% 20.82/10.76 #Close : 0
% 20.82/10.76
% 20.82/10.76 Ordering : KBO
% 20.82/10.76
% 20.82/10.76 Simplification rules
% 20.82/10.76 ----------------------
% 20.82/10.76 #Subsume : 6344
% 20.82/10.76 #Demod : 2149
% 20.82/10.76 #Tautology : 328
% 20.82/10.76 #SimpNegUnit : 77
% 20.82/10.76 #BackRed : 0
% 20.82/10.76
% 20.82/10.76 #Partial instantiations: 0
% 20.82/10.76 #Strategies tried : 1
% 20.82/10.76
% 20.82/10.76 Timing (in seconds)
% 20.82/10.76 ----------------------
% 20.82/10.77 Preprocessing : 0.49
% 20.82/10.77 Parsing : 0.28
% 20.82/10.77 CNF conversion : 0.03
% 20.82/10.77 Main loop : 9.17
% 20.82/10.77 Inferencing : 1.03
% 20.82/10.77 Reduction : 1.56
% 20.82/10.77 Demodulation : 0.93
% 20.82/10.77 BG Simplification : 0.08
% 20.82/10.77 Subsumption : 5.99
% 20.82/10.77 Abstraction : 0.13
% 20.82/10.77 MUC search : 0.00
% 20.82/10.77 Cooper : 0.00
% 20.82/10.77 Total : 9.72
% 20.82/10.77 Index Insertion : 0.00
% 20.82/10.77 Index Deletion : 0.00
% 20.82/10.77 Index Matching : 0.00
% 20.82/10.77 BG Taut test : 0.00
%------------------------------------------------------------------------------