TSTP Solution File: SYN598-10 by Beagle---0.9.51
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%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SYN598-10 : TPTP v8.1.2. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% Computer : n021.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 11:11:24 EDT 2023
% Result : Unsatisfiable 14.03s 5.37s
% Output : CNFRefutation 14.03s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 33
% Syntax : Number of formulae : 57 ( 33 unt; 24 typ; 0 def)
% Number of atoms : 33 ( 32 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 14 ( 3 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 31 ( 20 >; 11 *; 0 +; 0 <<)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 24 ( 24 usr; 4 con; 0-4 aty)
% Number of variables : 56 (; 56 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ ifeq > p7 > p5 > p3 > p20 > p2 > p19 > f11 > f10 > #nlpp > p18 > p17 > f9 > f8 > f6 > f4 > f16 > f15 > f14 > f13 > f12 > true > c23 > c22 > c21
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(f12,type,
f12: $i > $i ).
tff(f11,type,
f11: ( $i * $i ) > $i ).
tff(p20,type,
p20: ( $i * $i ) > $i ).
tff(p18,type,
p18: $i > $i ).
tff(p19,type,
p19: ( $i * $i ) > $i ).
tff(p17,type,
p17: $i > $i ).
tff(c21,type,
c21: $i ).
tff(f14,type,
f14: $i > $i ).
tff(c23,type,
c23: $i ).
tff(f13,type,
f13: $i > $i ).
tff(c22,type,
c22: $i ).
tff(f16,type,
f16: $i > $i ).
tff(p3,type,
p3: ( $i * $i ) > $i ).
tff(f6,type,
f6: $i > $i ).
tff(p7,type,
p7: ( $i * $i ) > $i ).
tff(f9,type,
f9: $i > $i ).
tff(p2,type,
p2: ( $i * $i ) > $i ).
tff(f8,type,
f8: $i > $i ).
tff(f4,type,
f4: $i > $i ).
tff(f10,type,
f10: ( $i * $i ) > $i ).
tff(true,type,
true: $i ).
tff(p5,type,
p5: ( $i * $i ) > $i ).
tff(ifeq,type,
ifeq: ( $i * $i * $i * $i ) > $i ).
tff(f15,type,
f15: $i > $i ).
tff(f_75,axiom,
p19(f10(f11(f14(f12(f15(f13(c23)))),c22),f11(f14(f12(f15(f13(c23)))),f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))),f8(f9(c21))) != true,
file(unknown,unknown) ).
tff(f_24,axiom,
! [A,B,C] : ( ifeq(A,A,B,C) = B ),
file(unknown,unknown) ).
tff(f_35,axiom,
p3(f4(f6(c21)),c22) = true,
file(unknown,unknown) ).
tff(f_28,axiom,
! [X34] : ( p7(X34,X34) = true ),
file(unknown,unknown) ).
tff(f_71,axiom,
! [X42,X44,X41,X43] : ( ifeq(p3(X42,X44),true,ifeq(p7(X41,X43),true,p7(f11(X41,X42),f11(X43,X44)),true),true) = true ),
file(unknown,unknown) ).
tff(f_73,axiom,
! [X38,X40,X37,X39] : ( ifeq(p7(X38,X40),true,ifeq(p7(X37,X39),true,p7(f10(X37,X38),f10(X39,X40)),true),true) = true ),
file(unknown,unknown) ).
tff(f_26,axiom,
p18(c21) = true,
file(unknown,unknown) ).
tff(f_77,axiom,
! [X8] : ( ifeq(p18(X8),true,p19(f10(f11(f14(f12(f15(f13(c23)))),f4(f6(X8))),f11(f14(f12(f15(f13(c23)))),f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))),f8(f9(X8))),true) = true ),
file(unknown,unknown) ).
tff(f_67,axiom,
! [X6,X7,X5,X4] : ( ifeq(p19(X6,X7),true,ifeq(p7(X7,X5),true,ifeq(p7(X6,X4),true,p19(X4,X5),true),true),true) = true ),
file(unknown,unknown) ).
tff(c_56,plain,
p19(f10(f11(f14(f12(f15(f13(c23)))),c22),f11(f14(f12(f15(f13(c23)))),f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))),f8(f9(c21))) != true,
inference(cnfTransformation,[status(thm)],[f_75]) ).
tff(c_2,plain,
! [A_1,B_2,C_3] : ( ifeq(A_1,A_1,B_2,C_3) = B_2 ),
inference(cnfTransformation,[status(thm)],[f_24]) ).
tff(c_16,plain,
p3(f4(f6(c21)),c22) = true,
inference(cnfTransformation,[status(thm)],[f_35]) ).
tff(c_8,plain,
! [X34_4] : ( p7(X34_4,X34_4) = true ),
inference(cnfTransformation,[status(thm)],[f_28]) ).
tff(c_927,plain,
! [X42_121,X44_122,X41_123,X43_124] : ( ifeq(p3(X42_121,X44_122),true,ifeq(p7(X41_123,X43_124),true,p7(f11(X41_123,X42_121),f11(X43_124,X44_122)),true),true) = true ),
inference(cnfTransformation,[status(thm)],[f_71]) ).
tff(c_958,plain,
! [X42_121,X44_122,X34_4] : ( ifeq(p3(X42_121,X44_122),true,ifeq(true,true,p7(f11(X34_4,X42_121),f11(X34_4,X44_122)),true),true) = true ),
inference(superposition,[status(thm),theory(equality)],[c_8,c_927]) ).
tff(c_1526,plain,
! [X42_149,X44_150,X34_151] : ( ifeq(p3(X42_149,X44_150),true,p7(f11(X34_151,X42_149),f11(X34_151,X44_150)),true) = true ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_958]) ).
tff(c_2149,plain,
! [X34_174] : ( ifeq(true,true,p7(f11(X34_174,f4(f6(c21))),f11(X34_174,c22)),true) = true ),
inference(superposition,[status(thm),theory(equality)],[c_16,c_1526]) ).
tff(c_2154,plain,
! [X34_174] : ( p7(f11(X34_174,f4(f6(c21))),f11(X34_174,c22)) = true ),
inference(superposition,[status(thm),theory(equality)],[c_2149,c_2]) ).
tff(c_812,plain,
! [X38_116,X40_117,X37_118,X39_119] : ( ifeq(p7(X38_116,X40_117),true,ifeq(p7(X37_118,X39_119),true,p7(f10(X37_118,X38_116),f10(X39_119,X40_117)),true),true) = true ),
inference(cnfTransformation,[status(thm)],[f_73]) ).
tff(c_4182,plain,
! [X37_210,X39_211,X34_212] : ( ifeq(true,true,ifeq(p7(X37_210,X39_211),true,p7(f10(X37_210,X34_212),f10(X39_211,X34_212)),true),true) = true ),
inference(superposition,[status(thm),theory(equality)],[c_8,c_812]) ).
tff(c_4207,plain,
! [X34_174,X34_212] : ( ifeq(true,true,ifeq(true,true,p7(f10(f11(X34_174,f4(f6(c21))),X34_212),f10(f11(X34_174,c22),X34_212)),true),true) = true ),
inference(superposition,[status(thm),theory(equality)],[c_2154,c_4182]) ).
tff(c_4234,plain,
! [X34_174,X34_212] : ( p7(f10(f11(X34_174,f4(f6(c21))),X34_212),f10(f11(X34_174,c22),X34_212)) = true ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_2,c_4207]) ).
tff(c_6,plain,
p18(c21) = true,
inference(cnfTransformation,[status(thm)],[f_26]) ).
tff(c_1347,plain,
! [X8_135] : ( ifeq(p18(X8_135),true,p19(f10(f11(f14(f12(f15(f13(c23)))),f4(f6(X8_135))),f11(f14(f12(f15(f13(c23)))),f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))),f8(f9(X8_135))),true) = true ),
inference(cnfTransformation,[status(thm)],[f_77]) ).
tff(c_1354,plain,
ifeq(true,true,p19(f10(f11(f14(f12(f15(f13(c23)))),f4(f6(c21))),f11(f14(f12(f15(f13(c23)))),f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))),f8(f9(c21))),true) = true,
inference(superposition,[status(thm),theory(equality)],[c_6,c_1347]) ).
tff(c_4970,plain,
p19(f10(f11(f14(f12(f15(f13(c23)))),f4(f6(c21))),f11(f14(f12(f15(f13(c23)))),f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))),f8(f9(c21))) = true,
inference(superposition,[status(thm),theory(equality)],[c_1354,c_2]) ).
tff(c_1025,plain,
! [X6_125,X7_126,X5_127,X4_128] : ( ifeq(p19(X6_125,X7_126),true,ifeq(p7(X7_126,X5_127),true,ifeq(p7(X6_125,X4_128),true,p19(X4_128,X5_127),true),true),true) = true ),
inference(cnfTransformation,[status(thm)],[f_67]) ).
tff(c_1038,plain,
! [X6_125,X34_4,X4_128] : ( ifeq(p19(X6_125,X34_4),true,ifeq(true,true,ifeq(p7(X6_125,X4_128),true,p19(X4_128,X34_4),true),true),true) = true ),
inference(superposition,[status(thm),theory(equality)],[c_8,c_1025]) ).
tff(c_1046,plain,
! [X6_125,X34_4,X4_128] : ( ifeq(p19(X6_125,X34_4),true,ifeq(p7(X6_125,X4_128),true,p19(X4_128,X34_4),true),true) = true ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_1038]) ).
tff(c_17434,plain,
! [X4_341] : ( ifeq(true,true,ifeq(p7(f10(f11(f14(f12(f15(f13(c23)))),f4(f6(c21))),f11(f14(f12(f15(f13(c23)))),f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))),X4_341),true,p19(X4_341,f8(f9(c21))),true),true) = true ),
inference(superposition,[status(thm),theory(equality)],[c_4970,c_1046]) ).
tff(c_17448,plain,
ifeq(true,true,ifeq(true,true,p19(f10(f11(f14(f12(f15(f13(c23)))),c22),f11(f14(f12(f15(f13(c23)))),f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))),f8(f9(c21))),true),true) = true,
inference(superposition,[status(thm),theory(equality)],[c_4234,c_17434]) ).
tff(c_17459,plain,
p19(f10(f11(f14(f12(f15(f13(c23)))),c22),f11(f14(f12(f15(f13(c23)))),f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))),f8(f9(c21))) = true,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_2,c_17448]) ).
tff(c_17461,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_56,c_17459]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN598-10 : TPTP v8.1.2. Released v7.5.0.
% 0.00/0.13 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.12/0.34 % Computer : n021.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Thu Aug 3 17:21:51 EDT 2023
% 0.12/0.34 % CPUTime :
% 14.03/5.37 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 14.03/5.37
% 14.03/5.37 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 14.03/5.41
% 14.03/5.41 Inference rules
% 14.03/5.41 ----------------------
% 14.03/5.41 #Ref : 0
% 14.03/5.41 #Sup : 4889
% 14.03/5.41 #Fact : 0
% 14.03/5.41 #Define : 0
% 14.03/5.41 #Split : 0
% 14.03/5.41 #Chain : 0
% 14.03/5.41 #Close : 0
% 14.03/5.41
% 14.03/5.41 Ordering : KBO
% 14.03/5.41
% 14.03/5.41 Simplification rules
% 14.03/5.41 ----------------------
% 14.03/5.41 #Subsume : 0
% 14.03/5.41 #Demod : 4697
% 14.03/5.41 #Tautology : 2270
% 14.03/5.41 #SimpNegUnit : 1
% 14.03/5.41 #BackRed : 134
% 14.03/5.41
% 14.03/5.41 #Partial instantiations: 0
% 14.03/5.41 #Strategies tried : 1
% 14.03/5.41
% 14.03/5.41 Timing (in seconds)
% 14.03/5.41 ----------------------
% 14.03/5.42 Preprocessing : 0.54
% 14.03/5.42 Parsing : 0.30
% 14.03/5.42 CNF conversion : 0.03
% 14.03/5.42 Main loop : 3.80
% 14.03/5.42 Inferencing : 0.87
% 14.03/5.42 Reduction : 2.02
% 14.03/5.42 Demodulation : 1.75
% 14.03/5.42 BG Simplification : 0.06
% 14.03/5.42 Subsumption : 0.64
% 14.03/5.42 Abstraction : 0.06
% 14.03/5.42 MUC search : 0.00
% 14.03/5.42 Cooper : 0.00
% 14.03/5.42 Total : 4.40
% 14.03/5.42 Index Insertion : 0.00
% 14.03/5.42 Index Deletion : 0.00
% 14.03/5.42 Index Matching : 0.00
% 14.03/5.42 BG Taut test : 0.00
%------------------------------------------------------------------------------