TSTP Solution File: SYN600-1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SYN600-1 : 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 : n013.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 278.40s 221.81s
% Output : CNFRefutation 278.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 33
% Syntax : Number of formulae : 68 ( 15 unt; 21 typ; 0 def)
% Number of atoms : 114 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 136 ( 69 ~; 67 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 12 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 27 ( 18 >; 9 *; 0 +; 0 <<)
% Number of predicates : 8 ( 7 usr; 1 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 3 con; 0-2 aty)
% Number of variables : 74 (; 74 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ p7 > p5 > p3 > p2 > p18 > p17 > p19 > f9 > f8 > f10 > #nlpp > f6 > f4 > f16 > f15 > f14 > f13 > f12 > f11 > c22 > c21 > c20
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(f12,type,
f12: $i > $i ).
tff(f9,type,
f9: ( $i * $i ) > $i ).
tff(p2,type,
p2: ( $i * $i ) > $o ).
tff(c21,type,
c21: $i ).
tff(f14,type,
f14: $i > $i ).
tff(p19,type,
p19: $i > $o ).
tff(f13,type,
f13: $i > $i ).
tff(p17,type,
p17: ( $i * $i ) > $o ).
tff(c22,type,
c22: $i ).
tff(p5,type,
p5: ( $i * $i ) > $o ).
tff(f16,type,
f16: $i > $i ).
tff(f6,type,
f6: $i > $i ).
tff(p3,type,
p3: ( $i * $i ) > $o ).
tff(f8,type,
f8: ( $i * $i ) > $i ).
tff(f4,type,
f4: $i > $i ).
tff(f10,type,
f10: ( $i * $i ) > $i ).
tff(p7,type,
p7: ( $i * $i ) > $o ).
tff(c20,type,
c20: $i ).
tff(f11,type,
f11: $i > $i ).
tff(p18,type,
p18: ( $i * $i ) > $o ).
tff(f15,type,
f15: $i > $i ).
tff(f_34,axiom,
~ p3(f4(f6(c21)),f4(f6(c22))),
file(unknown,unknown) ).
tff(f_32,axiom,
p7(f16(c21),f16(c22)),
file(unknown,unknown) ).
tff(f_27,axiom,
! [X32] : p7(X32,X32),
file(unknown,unknown) ).
tff(f_98,axiom,
! [X33,X34,X32] :
( p7(X33,X34)
| ~ p7(X32,X33)
| ~ p7(X32,X34) ),
file(unknown,unknown) ).
tff(f_23,axiom,
p19(c22),
file(unknown,unknown) ).
tff(f_22,axiom,
p19(c21),
file(unknown,unknown) ).
tff(f_82,axiom,
! [X41,X42] :
( p7(f15(X41),f15(X42))
| ~ p7(X41,X42) ),
file(unknown,unknown) ).
tff(f_165,axiom,
! [X4] :
( p18(f9(f10(f13(f11(f14(f12(c20)))),f4(f6(X4))),f10(f13(f11(f14(f12(c20)))),f11(f12(f12(f12(f12(f12(f12(f12(c20)))))))))),f15(f16(X4)))
| ~ p19(X4) ),
file(unknown,unknown) ).
tff(f_136,axiom,
! [X5,X6,X7,X8] :
( p18(X5,X6)
| ~ p7(X7,X5)
| ~ p7(X8,X6)
| ~ p18(X7,X8) ),
file(unknown,unknown) ).
tff(f_170,axiom,
! [X4] :
( p17(f15(f16(X4)),f8(f13(f11(f14(f12(c20)))),f9(f10(f13(f11(f14(f12(c20)))),f4(f6(X4))),f10(f13(f11(f14(f12(c20)))),f11(f12(f12(f12(f12(f12(f12(f12(c20))))))))))))
| ~ p19(X4) ),
file(unknown,unknown) ).
tff(f_125,axiom,
! [X0,X1,X2,X3] :
( p17(X0,X1)
| ~ p7(X2,X0)
| ~ p7(X3,X1)
| ~ p17(X2,X3) ),
file(unknown,unknown) ).
tff(f_181,axiom,
! [X27,X28] :
( p3(f4(f6(X27)),X28)
| ~ p19(X27)
| ~ p18(f9(f10(f13(f11(f14(f12(c20)))),X28),f10(f13(f11(f14(f12(c20)))),f11(f12(f12(f12(f12(f12(f12(f12(c20)))))))))),f15(f16(X27)))
| ~ p17(f15(f16(X27)),f8(f13(f11(f14(f12(c20)))),f9(f10(f13(f11(f14(f12(c20)))),X28),f10(f13(f11(f14(f12(c20)))),f11(f12(f12(f12(f12(f12(f12(f12(c20)))))))))))) ),
file(unknown,unknown) ).
tff(c_16,plain,
~ p3(f4(f6(c21)),f4(f6(c22))),
inference(cnfTransformation,[status(thm)],[f_34]) ).
tff(c_14,plain,
p7(f16(c21),f16(c22)),
inference(cnfTransformation,[status(thm)],[f_32]) ).
tff(c_8,plain,
! [X32_2] : p7(X32_2,X32_2),
inference(cnfTransformation,[status(thm)],[f_27]) ).
tff(c_119,plain,
! [X32_93,X34_94,X33_95] :
( ~ p7(X32_93,X34_94)
| ~ p7(X32_93,X33_95)
| p7(X33_95,X34_94) ),
inference(cnfTransformation,[status(thm)],[f_98]) ).
tff(c_135,plain,
! [X32_96,X33_97] :
( ~ p7(X32_96,X33_97)
| p7(X33_97,X32_96) ),
inference(resolution,[status(thm)],[c_8,c_119]) ).
tff(c_149,plain,
p7(f16(c22),f16(c21)),
inference(resolution,[status(thm)],[c_14,c_135]) ).
tff(c_4,plain,
p19(c22),
inference(cnfTransformation,[status(thm)],[f_23]) ).
tff(c_2,plain,
p19(c21),
inference(cnfTransformation,[status(thm)],[f_22]) ).
tff(c_34,plain,
! [X41_21,X42_22] :
( ~ p7(X41_21,X42_22)
| p7(f15(X41_21),f15(X42_22)) ),
inference(cnfTransformation,[status(thm)],[f_82]) ).
tff(c_458,plain,
! [X41_146,X33_147,X42_148] :
( ~ p7(f15(X41_146),X33_147)
| p7(X33_147,f15(X42_148))
| ~ p7(X41_146,X42_148) ),
inference(resolution,[status(thm)],[c_34,c_119]) ).
tff(c_682,plain,
! [X42_193,X42_194,X41_195] :
( p7(f15(X42_193),f15(X42_194))
| ~ p7(X41_195,X42_194)
| ~ p7(X41_195,X42_193) ),
inference(resolution,[status(thm)],[c_34,c_458]) ).
tff(c_737,plain,
! [X42_193] :
( p7(f15(X42_193),f15(f16(c21)))
| ~ p7(f16(c22),X42_193) ),
inference(resolution,[status(thm)],[c_149,c_682]) ).
tff(c_226,plain,
! [X42_107,X41_108] :
( p7(f15(X42_107),f15(X41_108))
| ~ p7(X41_108,X42_107) ),
inference(resolution,[status(thm)],[c_34,c_135]) ).
tff(c_38,plain,
! [X32_28,X34_27,X33_26] :
( ~ p7(X32_28,X34_27)
| ~ p7(X32_28,X33_26)
| p7(X33_26,X34_27) ),
inference(cnfTransformation,[status(thm)],[f_98]) ).
tff(c_926,plain,
! [X42_223,X33_224,X41_225] :
( ~ p7(f15(X42_223),X33_224)
| p7(X33_224,f15(X41_225))
| ~ p7(X41_225,X42_223) ),
inference(resolution,[status(thm)],[c_226,c_38]) ).
tff(c_9008,plain,
! [X41_705,X42_706] :
( p7(f15(f16(c21)),f15(X41_705))
| ~ p7(X41_705,X42_706)
| ~ p7(f16(c22),X42_706) ),
inference(resolution,[status(thm)],[c_737,c_926]) ).
tff(c_9128,plain,
( p7(f15(f16(c21)),f15(f16(c22)))
| ~ p7(f16(c22),f16(c21)) ),
inference(resolution,[status(thm)],[c_149,c_9008]) ).
tff(c_9210,plain,
p7(f15(f16(c21)),f15(f16(c22))),
inference(demodulation,[status(thm),theory(equality)],[c_149,c_9128]) ).
tff(c_134,plain,
! [X32_2,X33_95] :
( ~ p7(X32_2,X33_95)
| p7(X33_95,X32_2) ),
inference(resolution,[status(thm)],[c_8,c_119]) ).
tff(c_9274,plain,
p7(f15(f16(c22)),f15(f16(c21))),
inference(resolution,[status(thm)],[c_9210,c_134]) ).
tff(c_520,plain,
! [X4_165] :
( ~ p19(X4_165)
| p18(f9(f10(f13(f11(f14(f12(c20)))),f4(f6(X4_165))),f10(f13(f11(f14(f12(c20)))),f11(f12(f12(f12(f12(f12(f12(f12(c20)))))))))),f15(f16(X4_165))) ),
inference(cnfTransformation,[status(thm)],[f_165]) ).
tff(c_46,plain,
! [X7_41,X8_42,X6_40,X5_39] :
( ~ p18(X7_41,X8_42)
| ~ p7(X8_42,X6_40)
| ~ p7(X7_41,X5_39)
| p18(X5_39,X6_40) ),
inference(cnfTransformation,[status(thm)],[f_136]) ).
tff(c_1362,plain,
! [X4_285,X6_286,X5_287] :
( ~ p7(f15(f16(X4_285)),X6_286)
| ~ p7(f9(f10(f13(f11(f14(f12(c20)))),f4(f6(X4_285))),f10(f13(f11(f14(f12(c20)))),f11(f12(f12(f12(f12(f12(f12(f12(c20)))))))))),X5_287)
| p18(X5_287,X6_286)
| ~ p19(X4_285) ),
inference(resolution,[status(thm)],[c_520,c_46]) ).
tff(c_4355,plain,
! [X4_495,X5_496,X42_497] :
( ~ p7(f9(f10(f13(f11(f14(f12(c20)))),f4(f6(X4_495))),f10(f13(f11(f14(f12(c20)))),f11(f12(f12(f12(f12(f12(f12(f12(c20)))))))))),X5_496)
| p18(X5_496,f15(X42_497))
| ~ p19(X4_495)
| ~ p7(f16(X4_495),X42_497) ),
inference(resolution,[status(thm)],[c_34,c_1362]) ).
tff(c_4367,plain,
! [X4_495,X42_497] :
( p18(f9(f10(f13(f11(f14(f12(c20)))),f4(f6(X4_495))),f10(f13(f11(f14(f12(c20)))),f11(f12(f12(f12(f12(f12(f12(f12(c20)))))))))),f15(X42_497))
| ~ p19(X4_495)
| ~ p7(f16(X4_495),X42_497) ),
inference(resolution,[status(thm)],[c_8,c_4355]) ).
tff(c_630,plain,
! [X4_181] :
( ~ p19(X4_181)
| p17(f15(f16(X4_181)),f8(f13(f11(f14(f12(c20)))),f9(f10(f13(f11(f14(f12(c20)))),f4(f6(X4_181))),f10(f13(f11(f14(f12(c20)))),f11(f12(f12(f12(f12(f12(f12(f12(c20)))))))))))) ),
inference(cnfTransformation,[status(thm)],[f_170]) ).
tff(c_44,plain,
! [X2_37,X3_38,X1_36,X0_35] :
( ~ p17(X2_37,X3_38)
| ~ p7(X3_38,X1_36)
| ~ p7(X2_37,X0_35)
| p17(X0_35,X1_36) ),
inference(cnfTransformation,[status(thm)],[f_125]) ).
tff(c_1479,plain,
! [X4_310,X1_311,X0_312] :
( ~ p7(f8(f13(f11(f14(f12(c20)))),f9(f10(f13(f11(f14(f12(c20)))),f4(f6(X4_310))),f10(f13(f11(f14(f12(c20)))),f11(f12(f12(f12(f12(f12(f12(f12(c20))))))))))),X1_311)
| ~ p7(f15(f16(X4_310)),X0_312)
| p17(X0_312,X1_311)
| ~ p19(X4_310) ),
inference(resolution,[status(thm)],[c_630,c_44]) ).
tff(c_4775,plain,
! [X4_519,X0_520] :
( ~ p7(f15(f16(X4_519)),X0_520)
| p17(X0_520,f8(f13(f11(f14(f12(c20)))),f9(f10(f13(f11(f14(f12(c20)))),f4(f6(X4_519))),f10(f13(f11(f14(f12(c20)))),f11(f12(f12(f12(f12(f12(f12(f12(c20))))))))))))
| ~ p19(X4_519) ),
inference(resolution,[status(thm)],[c_8,c_1479]) ).
tff(c_58,plain,
! [X27_57,X28_58] :
( ~ p17(f15(f16(X27_57)),f8(f13(f11(f14(f12(c20)))),f9(f10(f13(f11(f14(f12(c20)))),X28_58),f10(f13(f11(f14(f12(c20)))),f11(f12(f12(f12(f12(f12(f12(f12(c20))))))))))))
| ~ p18(f9(f10(f13(f11(f14(f12(c20)))),X28_58),f10(f13(f11(f14(f12(c20)))),f11(f12(f12(f12(f12(f12(f12(f12(c20)))))))))),f15(f16(X27_57)))
| ~ p19(X27_57)
| p3(f4(f6(X27_57)),X28_58) ),
inference(cnfTransformation,[status(thm)],[f_181]) ).
tff(c_49063,plain,
! [X4_2079,X27_2080] :
( ~ p18(f9(f10(f13(f11(f14(f12(c20)))),f4(f6(X4_2079))),f10(f13(f11(f14(f12(c20)))),f11(f12(f12(f12(f12(f12(f12(f12(c20)))))))))),f15(f16(X27_2080)))
| ~ p19(X27_2080)
| p3(f4(f6(X27_2080)),f4(f6(X4_2079)))
| ~ p7(f15(f16(X4_2079)),f15(f16(X27_2080)))
| ~ p19(X4_2079) ),
inference(resolution,[status(thm)],[c_4775,c_58]) ).
tff(c_432064,plain,
! [X27_7886,X4_7887] :
( ~ p19(X27_7886)
| p3(f4(f6(X27_7886)),f4(f6(X4_7887)))
| ~ p7(f15(f16(X4_7887)),f15(f16(X27_7886)))
| ~ p19(X4_7887)
| ~ p7(f16(X4_7887),f16(X27_7886)) ),
inference(resolution,[status(thm)],[c_4367,c_49063]) ).
tff(c_432179,plain,
( ~ p19(c21)
| p3(f4(f6(c21)),f4(f6(c22)))
| ~ p19(c22)
| ~ p7(f16(c22),f16(c21)) ),
inference(resolution,[status(thm)],[c_9274,c_432064]) ).
tff(c_432289,plain,
p3(f4(f6(c21)),f4(f6(c22))),
inference(demodulation,[status(thm),theory(equality)],[c_149,c_4,c_2,c_432179]) ).
tff(c_432291,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_16,c_432289]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SYN600-1 : 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
% 0.14/0.36 % Computer : n013.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Thu Aug 3 17:08:03 EDT 2023
% 0.14/0.36 % CPUTime :
% 278.40/221.81 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 278.40/221.81
% 278.40/221.81 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 278.40/221.85
% 278.40/221.85 Inference rules
% 278.40/221.85 ----------------------
% 278.40/221.85 #Ref : 0
% 278.40/221.85 #Sup : 140201
% 278.40/221.85 #Fact : 0
% 278.40/221.85 #Define : 0
% 278.40/221.85 #Split : 8
% 278.40/221.85 #Chain : 0
% 278.40/221.85 #Close : 0
% 278.40/221.85
% 278.40/221.85 Ordering : KBO
% 278.40/221.85
% 278.40/221.85 Simplification rules
% 278.40/221.85 ----------------------
% 278.40/221.85 #Subsume : 8793
% 278.40/221.85 #Demod : 2195
% 278.40/221.85 #Tautology : 594
% 278.40/221.85 #SimpNegUnit : 1
% 278.40/221.85 #BackRed : 0
% 278.40/221.85
% 278.40/221.85 #Partial instantiations: 0
% 278.40/221.85 #Strategies tried : 1
% 278.40/221.85
% 278.40/221.85 Timing (in seconds)
% 278.40/221.85 ----------------------
% 278.40/221.86 Preprocessing : 0.50
% 278.40/221.86 Parsing : 0.27
% 278.40/221.86 CNF conversion : 0.03
% 278.40/221.86 Main loop : 220.29
% 278.40/221.86 Inferencing : 9.35
% 278.40/221.86 Reduction : 20.68
% 278.40/221.86 Demodulation : 11.79
% 278.40/221.86 BG Simplification : 0.84
% 278.40/221.86 Subsumption : 154.83
% 278.40/221.86 Abstraction : 1.23
% 278.40/221.86 MUC search : 0.00
% 278.40/221.86 Cooper : 0.00
% 278.40/221.86 Total : 220.85
% 278.40/221.86 Index Insertion : 0.00
% 278.40/221.86 Index Deletion : 0.00
% 278.40/221.86 Index Matching : 0.00
% 278.40/221.86 BG Taut test : 0.00
%------------------------------------------------------------------------------