TSTP Solution File: LCL197-3 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : LCL197-3 : TPTP v8.1.2. Released v2.3.0.
% 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 10:47:37 EDT 2023
% Result : Unsatisfiable 97.98s 84.35s
% Output : CNFRefutation 98.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 16
% Syntax : Number of formulae : 85 ( 36 unt; 7 typ; 0 def)
% Number of atoms : 133 ( 3 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 114 ( 59 ~; 55 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 7 ( 5 >; 2 *; 0 +; 0 <<)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 179 (; 179 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ theorem > axiom > or > implies > #nlpp > not > q > p
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(theorem,type,
theorem: $i > $o ).
tff(or,type,
or: ( $i * $i ) > $i ).
tff(not,type,
not: $i > $i ).
tff(q,type,
q: $i ).
tff(axiom,type,
axiom: $i > $o ).
tff(p,type,
p: $i ).
tff(implies,type,
implies: ( $i * $i ) > $i ).
tff(f_48,axiom,
! [A,B] : axiom(implies(A,or(B,A))),
file(unknown,unknown) ).
tff(f_56,axiom,
! [X,Y] : ( implies(X,Y) = or(not(X),Y) ),
file(unknown,unknown) ).
tff(f_61,axiom,
! [X] :
( theorem(X)
| ~ axiom(X) ),
file(unknown,unknown) ).
tff(f_54,axiom,
! [A,B,C] : axiom(implies(implies(A,B),implies(or(C,A),or(C,B)))),
file(unknown,unknown) ).
tff(f_69,axiom,
! [X,Y] :
( theorem(X)
| ~ theorem(implies(Y,X))
| ~ theorem(Y) ),
file(unknown,unknown) ).
tff(f_52,axiom,
! [A,B,C] : axiom(implies(or(A,or(B,C)),or(B,or(A,C)))),
file(unknown,unknown) ).
tff(f_46,axiom,
! [A] : axiom(implies(or(A,A),A)),
file(unknown,unknown) ).
tff(f_50,axiom,
! [A,B] : axiom(implies(or(A,B),or(B,A))),
file(unknown,unknown) ).
tff(f_77,axiom,
~ theorem(implies(or(q,or(p,q)),or(p,q))),
file(unknown,unknown) ).
tff(c_4,plain,
! [A_2,B_3] : axiom(implies(A_2,or(B_3,A_2))),
inference(cnfTransformation,[status(thm)],[f_48]) ).
tff(c_22,plain,
! [X_21,Y_22] : ( or(not(X_21),Y_22) = implies(X_21,Y_22) ),
inference(cnfTransformation,[status(thm)],[f_56]) ).
tff(c_32,plain,
! [Y_22,X_21] : axiom(implies(Y_22,implies(X_21,Y_22))),
inference(superposition,[status(thm),theory(equality)],[c_22,c_4]) ).
tff(c_14,plain,
! [X_14] :
( ~ axiom(X_14)
| theorem(X_14) ),
inference(cnfTransformation,[status(thm)],[f_61]) ).
tff(c_12,plain,
! [X_12,Y_13] : ( or(not(X_12),Y_13) = implies(X_12,Y_13) ),
inference(cnfTransformation,[status(thm)],[f_56]) ).
tff(c_102,plain,
! [A_36,B_37,C_38] : axiom(implies(implies(A_36,B_37),implies(or(C_38,A_36),or(C_38,B_37)))),
inference(cnfTransformation,[status(thm)],[f_54]) ).
tff(c_108,plain,
! [Y_13,B_37,X_12] : axiom(implies(implies(Y_13,B_37),implies(implies(X_12,Y_13),or(not(X_12),B_37)))),
inference(superposition,[status(thm),theory(equality)],[c_12,c_102]) ).
tff(c_305,plain,
! [Y_66,B_67,X_68] : axiom(implies(implies(Y_66,B_67),implies(implies(X_68,Y_66),implies(X_68,B_67)))),
inference(demodulation,[status(thm),theory(equality)],[c_12,c_108]) ).
tff(c_39,plain,
! [Y_25,X_26] :
( ~ theorem(Y_25)
| ~ theorem(implies(Y_25,X_26))
| theorem(X_26) ),
inference(cnfTransformation,[status(thm)],[f_69]) ).
tff(c_43,plain,
! [Y_25,X_26] :
( ~ theorem(Y_25)
| theorem(X_26)
| ~ axiom(implies(Y_25,X_26)) ),
inference(resolution,[status(thm)],[c_14,c_39]) ).
tff(c_1987,plain,
! [Y_245,B_246,X_247] :
( ~ theorem(implies(Y_245,B_246))
| theorem(implies(implies(X_247,Y_245),implies(X_247,B_246))) ),
inference(resolution,[status(thm)],[c_305,c_43]) ).
tff(c_16,plain,
! [Y_16,X_15] :
( ~ theorem(Y_16)
| ~ theorem(implies(Y_16,X_15))
| theorem(X_15) ),
inference(cnfTransformation,[status(thm)],[f_69]) ).
tff(c_2551,plain,
! [X_280,Y_281,B_282] :
( ~ theorem(implies(X_280,Y_281))
| theorem(implies(X_280,B_282))
| ~ theorem(implies(Y_281,B_282)) ),
inference(resolution,[status(thm)],[c_1987,c_16]) ).
tff(c_9113,plain,
! [X_611,B_612,Y_613] :
( theorem(implies(X_611,B_612))
| ~ theorem(implies(Y_613,B_612))
| ~ axiom(implies(X_611,Y_613)) ),
inference(resolution,[status(thm)],[c_14,c_2551]) ).
tff(c_19611,plain,
! [X_998,B_999,Y_1000] :
( theorem(implies(X_998,B_999))
| ~ axiom(implies(X_998,Y_1000))
| ~ axiom(implies(Y_1000,B_999)) ),
inference(resolution,[status(thm)],[c_14,c_9113]) ).
tff(c_19654,plain,
! [Y_1001,B_1002,X_1003] :
( theorem(implies(Y_1001,B_1002))
| ~ axiom(implies(implies(X_1003,Y_1001),B_1002)) ),
inference(resolution,[status(thm)],[c_32,c_19611]) ).
tff(c_19849,plain,
! [Y_1007,B_1008,X_1009] : theorem(implies(Y_1007,or(B_1008,implies(X_1009,Y_1007)))),
inference(resolution,[status(thm)],[c_4,c_19654]) ).
tff(c_129,plain,
! [A_40,B_41,C_42] : axiom(implies(or(A_40,or(B_41,C_42)),or(B_41,or(A_40,C_42)))),
inference(cnfTransformation,[status(thm)],[f_52]) ).
tff(c_142,plain,
! [X_12,B_41,Y_13] : axiom(implies(or(not(X_12),or(B_41,Y_13)),or(B_41,implies(X_12,Y_13)))),
inference(superposition,[status(thm),theory(equality)],[c_12,c_129]) ).
tff(c_456,plain,
! [X_92,B_93,Y_94] : axiom(implies(implies(X_92,or(B_93,Y_94)),or(B_93,implies(X_92,Y_94)))),
inference(demodulation,[status(thm),theory(equality)],[c_12,c_142]) ).
tff(c_1344,plain,
! [X_199,B_200,Y_201] :
( ~ theorem(implies(X_199,or(B_200,Y_201)))
| theorem(or(B_200,implies(X_199,Y_201))) ),
inference(resolution,[status(thm)],[c_456,c_43]) ).
tff(c_2,plain,
! [A_1] : axiom(implies(or(A_1,A_1),A_1)),
inference(cnfTransformation,[status(thm)],[f_46]) ).
tff(c_52,plain,
! [Y_30,X_31] :
( ~ theorem(Y_30)
| theorem(X_31)
| ~ axiom(implies(Y_30,X_31)) ),
inference(resolution,[status(thm)],[c_14,c_39]) ).
tff(c_71,plain,
! [A_1] :
( ~ theorem(or(A_1,A_1))
| theorem(A_1) ),
inference(resolution,[status(thm)],[c_2,c_52]) ).
tff(c_1374,plain,
! [X_199,Y_201] :
( theorem(implies(X_199,Y_201))
| ~ theorem(implies(X_199,or(implies(X_199,Y_201),Y_201))) ),
inference(resolution,[status(thm)],[c_1344,c_71]) ).
tff(c_19978,plain,
! [Y_1010,X_1011] : theorem(implies(Y_1010,implies(X_1011,Y_1010))),
inference(resolution,[status(thm)],[c_19849,c_1374]) ).
tff(c_135,plain,
! [A_40,X_12,Y_13] : axiom(implies(or(A_40,implies(X_12,Y_13)),or(not(X_12),or(A_40,Y_13)))),
inference(superposition,[status(thm),theory(equality)],[c_12,c_129]) ).
tff(c_650,plain,
! [A_114,X_115,Y_116] : axiom(implies(or(A_114,implies(X_115,Y_116)),implies(X_115,or(A_114,Y_116)))),
inference(demodulation,[status(thm),theory(equality)],[c_12,c_135]) ).
tff(c_1768,plain,
! [A_232,X_233,Y_234] :
( ~ theorem(or(A_232,implies(X_233,Y_234)))
| theorem(implies(X_233,or(A_232,Y_234))) ),
inference(resolution,[status(thm)],[c_650,c_43]) ).
tff(c_1839,plain,
! [X_12,X_233,Y_234] :
( ~ theorem(implies(X_12,implies(X_233,Y_234)))
| theorem(implies(X_233,or(not(X_12),Y_234))) ),
inference(superposition,[status(thm),theory(equality)],[c_12,c_1768]) ).
tff(c_1861,plain,
! [X_12,X_233,Y_234] :
( ~ theorem(implies(X_12,implies(X_233,Y_234)))
| theorem(implies(X_233,implies(X_12,Y_234))) ),
inference(demodulation,[status(thm),theory(equality)],[c_12,c_1839]) ).
tff(c_20088,plain,
! [X_1012,Y_1013] : theorem(implies(X_1012,implies(Y_1013,Y_1013))),
inference(resolution,[status(thm)],[c_19978,c_1861]) ).
tff(c_72,plain,
! [A_2,B_3] :
( ~ theorem(A_2)
| theorem(or(B_3,A_2)) ),
inference(resolution,[status(thm)],[c_4,c_52]) ).
tff(c_2147,plain,
! [A_258,B_259,C_260] :
( ~ theorem(implies(A_258,B_259))
| theorem(implies(or(C_260,A_258),or(C_260,B_259))) ),
inference(resolution,[status(thm)],[c_102,c_43]) ).
tff(c_2300,plain,
! [C_269,A_270,B_271] :
( ~ theorem(or(C_269,A_270))
| theorem(or(C_269,B_271))
| ~ theorem(implies(A_270,B_271)) ),
inference(resolution,[status(thm)],[c_2147,c_16]) ).
tff(c_2392,plain,
! [B_3,B_271,A_2] :
( theorem(or(B_3,B_271))
| ~ theorem(implies(A_2,B_271))
| ~ theorem(A_2) ),
inference(resolution,[status(thm)],[c_72,c_2300]) ).
tff(c_20210,plain,
! [B_3,Y_1013,X_1012] :
( theorem(or(B_3,implies(Y_1013,Y_1013)))
| ~ theorem(X_1012) ),
inference(resolution,[status(thm)],[c_20088,c_2392]) ).
tff(c_20973,plain,
! [X_1012] : ~ theorem(X_1012),
inference(splitLeft,[status(thm)],[c_20210]) ).
tff(c_44,plain,
! [A_27,B_28] : axiom(implies(or(A_27,B_28),or(B_28,A_27))),
inference(cnfTransformation,[status(thm)],[f_50]) ).
tff(c_247,plain,
! [X_57,Y_58] : axiom(implies(implies(X_57,Y_58),or(Y_58,not(X_57)))),
inference(superposition,[status(thm),theory(equality)],[c_12,c_44]) ).
tff(c_254,plain,
! [X_57,X_12] : axiom(implies(implies(X_57,not(X_12)),implies(X_12,not(X_57)))),
inference(superposition,[status(thm),theory(equality)],[c_12,c_247]) ).
tff(c_20663,plain,
! [X_1021,X_1022] : theorem(implies(not(X_1021),implies(X_1021,not(X_1022)))),
inference(resolution,[status(thm)],[c_254,c_19654]) ).
tff(c_20727,plain,
! [X_1021,X_1022] : theorem(implies(X_1021,implies(not(X_1021),not(X_1022)))),
inference(resolution,[status(thm)],[c_20663,c_1861]) ).
tff(c_21323,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_20973,c_20727]) ).
tff(c_21325,plain,
! [B_1031,Y_1032] : theorem(or(B_1031,implies(Y_1032,Y_1032))),
inference(splitRight,[status(thm)],[c_20210]) ).
tff(c_661,plain,
! [A_114,X_115,Y_116] :
( ~ theorem(or(A_114,implies(X_115,Y_116)))
| theorem(implies(X_115,or(A_114,Y_116))) ),
inference(resolution,[status(thm)],[c_650,c_43]) ).
tff(c_21402,plain,
! [Y_1032,B_1031] : theorem(implies(Y_1032,or(B_1031,Y_1032))),
inference(resolution,[status(thm)],[c_21325,c_661]) ).
tff(c_6,plain,
! [A_4,B_5] : axiom(implies(or(A_4,B_5),or(B_5,A_4))),
inference(cnfTransformation,[status(thm)],[f_50]) ).
tff(c_112,plain,
! [A_36,B_37,C_38] :
( ~ theorem(implies(A_36,B_37))
| theorem(implies(or(C_38,A_36),or(C_38,B_37))) ),
inference(resolution,[status(thm)],[c_102,c_43]) ).
tff(c_65103,plain,
! [X_2107,C_2108,B_2109,A_2110] :
( theorem(implies(X_2107,or(C_2108,B_2109)))
| ~ axiom(implies(X_2107,or(C_2108,A_2110)))
| ~ theorem(implies(A_2110,B_2109)) ),
inference(resolution,[status(thm)],[c_112,c_9113]) ).
tff(c_207741,plain,
! [A_4458,B_4459,B_4460] :
( theorem(implies(or(A_4458,B_4459),or(B_4459,B_4460)))
| ~ theorem(implies(A_4458,B_4460)) ),
inference(resolution,[status(thm)],[c_6,c_65103]) ).
tff(c_467,plain,
! [X_92,B_93,Y_94] :
( ~ theorem(implies(X_92,or(B_93,Y_94)))
| theorem(or(B_93,implies(X_92,Y_94))) ),
inference(resolution,[status(thm)],[c_456,c_43]) ).
tff(c_380,plain,
! [A_80,B_81,C_82] :
( ~ theorem(or(A_80,or(B_81,C_82)))
| theorem(or(B_81,or(A_80,C_82))) ),
inference(resolution,[status(thm)],[c_129,c_43]) ).
tff(c_506,plain,
! [B_104,B_105,C_106] :
( theorem(or(B_104,or(B_105,C_106)))
| ~ theorem(or(B_104,C_106)) ),
inference(resolution,[status(thm)],[c_72,c_380]) ).
tff(c_521,plain,
! [X_12,B_105,C_106] :
( theorem(implies(X_12,or(B_105,C_106)))
| ~ theorem(or(not(X_12),C_106)) ),
inference(superposition,[status(thm),theory(equality)],[c_12,c_506]) ).
tff(c_668,plain,
! [X_119,B_120,C_121] :
( theorem(implies(X_119,or(B_120,C_121)))
| ~ theorem(implies(X_119,C_121)) ),
inference(demodulation,[status(thm),theory(equality)],[c_12,c_521]) ).
tff(c_868,plain,
! [X_139,B_140,C_141] :
( ~ theorem(X_139)
| theorem(or(B_140,C_141))
| ~ theorem(implies(X_139,C_141)) ),
inference(resolution,[status(thm)],[c_668,c_16]) ).
tff(c_900,plain,
! [X_144,B_145,C_146] :
( ~ theorem(X_144)
| theorem(or(B_145,C_146))
| ~ axiom(implies(X_144,C_146)) ),
inference(resolution,[status(thm)],[c_14,c_868]) ).
tff(c_1256,plain,
! [A_190,B_191,B_192] :
( ~ theorem(or(A_190,B_191))
| theorem(or(B_192,or(B_191,A_190))) ),
inference(resolution,[status(thm)],[c_6,c_900]) ).
tff(c_147,plain,
! [A_40,B_41,C_42] :
( ~ theorem(or(A_40,or(B_41,C_42)))
| theorem(or(B_41,or(A_40,C_42))) ),
inference(resolution,[status(thm)],[c_129,c_43]) ).
tff(c_1446,plain,
! [B_210,B_211,A_212] :
( theorem(or(B_210,or(B_211,A_212)))
| ~ theorem(or(A_212,B_210)) ),
inference(resolution,[status(thm)],[c_1256,c_147]) ).
tff(c_1551,plain,
! [B_220,A_221] :
( theorem(or(B_220,A_221))
| ~ theorem(or(A_221,or(B_220,A_221))) ),
inference(resolution,[status(thm)],[c_1446,c_71]) ).
tff(c_1626,plain,
! [X_12,Y_13] :
( theorem(or(not(X_12),Y_13))
| ~ theorem(or(Y_13,implies(X_12,Y_13))) ),
inference(superposition,[status(thm),theory(equality)],[c_12,c_1551]) ).
tff(c_1888,plain,
! [X_243,Y_244] :
( theorem(implies(X_243,Y_244))
| ~ theorem(or(Y_244,implies(X_243,Y_244))) ),
inference(demodulation,[status(thm),theory(equality)],[c_12,c_1626]) ).
tff(c_1972,plain,
! [X_92,Y_94] :
( theorem(implies(X_92,Y_94))
| ~ theorem(implies(X_92,or(Y_94,Y_94))) ),
inference(resolution,[status(thm)],[c_467,c_1888]) ).
tff(c_208030,plain,
! [A_4461,B_4462] :
( theorem(implies(or(A_4461,B_4462),B_4462))
| ~ theorem(implies(A_4461,B_4462)) ),
inference(resolution,[status(thm)],[c_207741,c_1972]) ).
tff(c_18,plain,
~ theorem(implies(or(q,or(p,q)),or(p,q))),
inference(cnfTransformation,[status(thm)],[f_77]) ).
tff(c_208260,plain,
~ theorem(implies(q,or(p,q))),
inference(resolution,[status(thm)],[c_208030,c_18]) ).
tff(c_208358,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_21402,c_208260]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : LCL197-3 : TPTP v8.1.2. Released v2.3.0.
% 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 : n005.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 13:32:27 EDT 2023
% 0.22/0.36 % CPUTime :
% 97.98/84.35 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 98.14/84.36
% 98.14/84.36 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 98.34/84.41
% 98.34/84.41 Inference rules
% 98.34/84.41 ----------------------
% 98.34/84.41 #Ref : 0
% 98.34/84.41 #Sup : 51393
% 98.34/84.41 #Fact : 0
% 98.34/84.41 #Define : 0
% 98.34/84.41 #Split : 4
% 98.34/84.41 #Chain : 0
% 98.34/84.41 #Close : 0
% 98.34/84.41
% 98.34/84.41 Ordering : KBO
% 98.34/84.41
% 98.34/84.41 Simplification rules
% 98.34/84.41 ----------------------
% 98.34/84.41 #Subsume : 8405
% 98.34/84.41 #Demod : 12660
% 98.34/84.41 #Tautology : 11429
% 98.34/84.41 #SimpNegUnit : 634
% 98.34/84.41 #BackRed : 205
% 98.34/84.41
% 98.34/84.41 #Partial instantiations: 0
% 98.34/84.41 #Strategies tried : 1
% 98.34/84.41
% 98.34/84.41 Timing (in seconds)
% 98.34/84.41 ----------------------
% 98.34/84.41 Preprocessing : 0.45
% 98.34/84.41 Parsing : 0.24
% 98.34/84.41 CNF conversion : 0.02
% 98.34/84.41 Main loop : 82.81
% 98.34/84.41 Inferencing : 5.18
% 98.34/84.41 Reduction : 31.72
% 98.34/84.41 Demodulation : 24.67
% 98.34/84.41 BG Simplification : 0.22
% 98.34/84.41 Subsumption : 41.06
% 98.34/84.41 Abstraction : 0.33
% 98.34/84.41 MUC search : 0.00
% 98.34/84.41 Cooper : 0.00
% 98.34/84.41 Total : 83.33
% 98.34/84.41 Index Insertion : 0.00
% 98.34/84.41 Index Deletion : 0.00
% 98.34/84.41 Index Matching : 0.00
% 98.34/84.41 BG Taut test : 0.00
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