TSTP Solution File: LCL211-1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : LCL211-1 : TPTP v8.1.2. Released v1.1.0.
% 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 : n002.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 10:47:41 EDT 2023
% Result : Unsatisfiable 129.61s 115.81s
% Output : CNFRefutation 129.90s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 15
% Syntax : Number of formulae : 63 ( 24 unt; 6 typ; 0 def)
% Number of atoms : 99 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 86 ( 44 ~; 42 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 5 ( 4 >; 1 *; 0 +; 0 <<)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-1 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 138 (; 138 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ theorem > axiom > or > #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(f_61,axiom,
! [A,B,C] : axiom(or(not(or(not(A),B)),or(not(or(C,A)),or(C,B)))),
file(unknown,unknown) ).
tff(f_59,axiom,
! [A,B,C] : axiom(or(not(or(A,or(B,C))),or(B,or(A,C)))),
file(unknown,unknown) ).
tff(f_53,axiom,
! [A] : axiom(or(not(or(A,A)),A)),
file(unknown,unknown) ).
tff(f_55,axiom,
! [A,B] : axiom(or(not(A),or(B,A))),
file(unknown,unknown) ).
tff(f_66,axiom,
! [X] :
( theorem(X)
| ~ axiom(X) ),
file(unknown,unknown) ).
tff(f_82,axiom,
! [X,Z,Y] :
( theorem(or(not(X),Z))
| ~ axiom(or(not(X),Y))
| ~ theorem(or(not(Y),Z)) ),
file(unknown,unknown) ).
tff(f_74,axiom,
! [X,Y] :
( theorem(X)
| ~ axiom(or(not(Y),X))
| ~ theorem(Y) ),
file(unknown,unknown) ).
tff(f_57,axiom,
! [A,B] : axiom(or(not(or(A,B)),or(B,A))),
file(unknown,unknown) ).
tff(f_86,axiom,
~ theorem(or(not(not(q)),or(not(or(p,q)),p))),
file(unknown,unknown) ).
tff(c_10,plain,
! [A_9,B_10,C_11] : axiom(or(not(or(not(A_9),B_10)),or(not(or(C_11,A_9)),or(C_11,B_10)))),
inference(cnfTransformation,[status(thm)],[f_61]) ).
tff(c_8,plain,
! [A_6,B_7,C_8] : axiom(or(not(or(A_6,or(B_7,C_8))),or(B_7,or(A_6,C_8)))),
inference(cnfTransformation,[status(thm)],[f_59]) ).
tff(c_2,plain,
! [A_1] : axiom(or(not(or(A_1,A_1)),A_1)),
inference(cnfTransformation,[status(thm)],[f_53]) ).
tff(c_4,plain,
! [A_2,B_3] : axiom(or(not(A_2),or(B_3,A_2))),
inference(cnfTransformation,[status(thm)],[f_55]) ).
tff(c_12,plain,
! [X_12] :
( ~ axiom(X_12)
| theorem(X_12) ),
inference(cnfTransformation,[status(thm)],[f_66]) ).
tff(c_128,plain,
! [Y_42,Z_43,X_44] :
( ~ theorem(or(not(Y_42),Z_43))
| ~ axiom(or(not(X_44),Y_42))
| theorem(or(not(X_44),Z_43)) ),
inference(cnfTransformation,[status(thm)],[f_82]) ).
tff(c_406,plain,
! [X_84,Y_85,Z_86] :
( ~ axiom(or(not(X_84),Y_85))
| theorem(or(not(X_84),Z_86))
| ~ axiom(or(not(Y_85),Z_86)) ),
inference(resolution,[status(thm)],[c_12,c_128]) ).
tff(c_442,plain,
! [A_89,Z_90,B_91] :
( theorem(or(not(A_89),Z_90))
| ~ axiom(or(not(or(B_91,A_89)),Z_90)) ),
inference(resolution,[status(thm)],[c_4,c_406]) ).
tff(c_464,plain,
! [A_92] : theorem(or(not(A_92),A_92)),
inference(resolution,[status(thm)],[c_2,c_442]) ).
tff(c_97,plain,
! [A_34,B_35,C_36] : axiom(or(not(or(A_34,or(B_35,C_36))),or(B_35,or(A_34,C_36)))),
inference(cnfTransformation,[status(thm)],[f_59]) ).
tff(c_14,plain,
! [Y_14,X_13] :
( ~ theorem(Y_14)
| ~ axiom(or(not(Y_14),X_13))
| theorem(X_13) ),
inference(cnfTransformation,[status(thm)],[f_74]) ).
tff(c_101,plain,
! [A_34,B_35,C_36] :
( ~ theorem(or(A_34,or(B_35,C_36)))
| theorem(or(B_35,or(A_34,C_36))) ),
inference(resolution,[status(thm)],[c_97,c_14]) ).
tff(c_553,plain,
! [B_108,C_109] : theorem(or(B_108,or(not(or(B_108,C_109)),C_109))),
inference(resolution,[status(thm)],[c_464,c_101]) ).
tff(c_36,plain,
! [A_25,B_26] : axiom(or(not(or(A_25,B_26)),or(B_26,A_25))),
inference(cnfTransformation,[status(thm)],[f_57]) ).
tff(c_40,plain,
! [A_25,B_26] :
( ~ theorem(or(A_25,B_26))
| theorem(or(B_26,A_25)) ),
inference(resolution,[status(thm)],[c_36,c_14]) ).
tff(c_564,plain,
! [B_108,C_109] : theorem(or(or(not(or(B_108,C_109)),C_109),B_108)),
inference(resolution,[status(thm)],[c_553,c_40]) ).
tff(c_22,plain,
! [Y_22,X_23] :
( ~ theorem(Y_22)
| ~ axiom(or(not(Y_22),X_23))
| theorem(X_23) ),
inference(cnfTransformation,[status(thm)],[f_74]) ).
tff(c_30,plain,
! [A_2,B_3] :
( ~ theorem(A_2)
| theorem(or(B_3,A_2)) ),
inference(resolution,[status(thm)],[c_4,c_22]) ).
tff(c_145,plain,
! [A_45,B_46,C_47] :
( ~ theorem(or(A_45,or(B_46,C_47)))
| theorem(or(B_46,or(A_45,C_47))) ),
inference(resolution,[status(thm)],[c_97,c_14]) ).
tff(c_160,plain,
! [B_46,B_3,C_47] :
( theorem(or(B_46,or(B_3,C_47)))
| ~ theorem(or(B_46,C_47)) ),
inference(resolution,[status(thm)],[c_30,c_145]) ).
tff(c_215,plain,
! [B_57,B_58,C_59] :
( theorem(or(B_57,or(B_58,C_59)))
| ~ theorem(or(B_57,C_59)) ),
inference(resolution,[status(thm)],[c_30,c_145]) ).
tff(c_29,plain,
! [A_1] :
( ~ theorem(or(A_1,A_1))
| theorem(A_1) ),
inference(resolution,[status(thm)],[c_2,c_22]) ).
tff(c_251,plain,
! [B_60,C_61] :
( theorem(or(B_60,C_61))
| ~ theorem(or(or(B_60,C_61),C_61)) ),
inference(resolution,[status(thm)],[c_215,c_29]) ).
tff(c_7218,plain,
! [B_901,B_902,C_903] :
( theorem(or(B_901,or(B_902,C_903)))
| ~ theorem(or(or(B_901,or(B_902,C_903)),C_903)) ),
inference(resolution,[status(thm)],[c_160,c_251]) ).
tff(c_8015,plain,
! [B_904,B_905] : theorem(or(not(or(B_904,or(B_905,B_904))),or(B_905,B_904))),
inference(resolution,[status(thm)],[c_564,c_7218]) ).
tff(c_16,plain,
! [Y_17,Z_16,X_15] :
( ~ theorem(or(not(Y_17),Z_16))
| ~ axiom(or(not(X_15),Y_17))
| theorem(or(not(X_15),Z_16)) ),
inference(cnfTransformation,[status(thm)],[f_82]) ).
tff(c_15160,plain,
! [X_1672,B_1673,B_1674] :
( ~ axiom(or(not(X_1672),or(B_1673,or(B_1674,B_1673))))
| theorem(or(not(X_1672),or(B_1674,B_1673))) ),
inference(resolution,[status(thm)],[c_8015,c_16]) ).
tff(c_15188,plain,
! [A_1675,C_1676] : theorem(or(not(or(A_1675,or(C_1676,C_1676))),or(A_1675,C_1676))),
inference(resolution,[status(thm)],[c_8,c_15160]) ).
tff(c_17280,plain,
! [X_1904,A_1905,C_1906] :
( ~ axiom(or(not(X_1904),or(A_1905,or(C_1906,C_1906))))
| theorem(or(not(X_1904),or(A_1905,C_1906))) ),
inference(resolution,[status(thm)],[c_15188,c_16]) ).
tff(c_17301,plain,
! [A_9,B_10] : theorem(or(not(or(not(A_9),B_10)),or(not(or(B_10,A_9)),B_10))),
inference(resolution,[status(thm)],[c_10,c_17280]) ).
tff(c_6,plain,
! [A_4,B_5] : axiom(or(not(or(A_4,B_5)),or(B_5,A_4))),
inference(cnfTransformation,[status(thm)],[f_57]) ).
tff(c_3849,plain,
! [X_501,Y_502,B_503,C_504] :
( ~ axiom(or(not(X_501),Y_502))
| theorem(or(not(X_501),or(B_503,C_504)))
| ~ theorem(or(not(Y_502),C_504)) ),
inference(resolution,[status(thm)],[c_215,c_16]) ).
tff(c_12615,plain,
! [A_1369,B_1370,B_1371,C_1372] :
( theorem(or(not(or(A_1369,B_1370)),or(B_1371,C_1372)))
| ~ theorem(or(not(or(B_1370,A_1369)),C_1372)) ),
inference(resolution,[status(thm)],[c_6,c_3849]) ).
tff(c_138305,plain,
! [A_7412,B_7411,C_7415,X_7414,B_7413] :
( ~ axiom(or(not(X_7414),or(A_7412,B_7411)))
| theorem(or(not(X_7414),or(B_7413,C_7415)))
| ~ theorem(or(not(or(B_7411,A_7412)),C_7415)) ),
inference(resolution,[status(thm)],[c_12615,c_16]) ).
tff(c_138384,plain,
! [A_7420,B_7421,C_7422,B_7423] :
( theorem(or(not(A_7420),or(B_7421,C_7422)))
| ~ theorem(or(not(or(A_7420,B_7423)),C_7422)) ),
inference(resolution,[status(thm)],[c_4,c_138305]) ).
tff(c_152468,plain,
! [A_7780,B_7781,B_7782] : theorem(or(not(not(A_7780)),or(B_7781,or(not(or(B_7782,A_7780)),B_7782)))),
inference(resolution,[status(thm)],[c_17301,c_138384]) ).
tff(c_153087,plain,
! [B_7832,A_7833,B_7834] : theorem(or(B_7832,or(not(not(A_7833)),or(not(or(B_7834,A_7833)),B_7834)))),
inference(resolution,[status(thm)],[c_152468,c_101]) ).
tff(c_233,plain,
! [B_58,C_59,B_57] :
( theorem(or(or(B_58,C_59),B_57))
| ~ theorem(or(B_57,C_59)) ),
inference(resolution,[status(thm)],[c_215,c_40]) ).
tff(c_301,plain,
! [B_65,C_66,B_67] :
( theorem(or(or(B_65,C_66),B_67))
| ~ theorem(or(B_67,C_66)) ),
inference(resolution,[status(thm)],[c_215,c_40]) ).
tff(c_8163,plain,
! [B_921,B_922,C_923,C_924] :
( theorem(or(B_921,or(or(B_922,C_923),C_924)))
| ~ theorem(or(or(B_921,C_924),C_923)) ),
inference(resolution,[status(thm)],[c_301,c_101]) ).
tff(c_32497,plain,
! [B_3304,C_3305,C_3306,B_3307] :
( theorem(or(or(or(B_3304,C_3305),C_3306),B_3307))
| ~ theorem(or(or(B_3307,C_3306),C_3305)) ),
inference(resolution,[status(thm)],[c_8163,c_40]) ).
tff(c_234,plain,
! [B_58,C_59] :
( theorem(or(B_58,C_59))
| ~ theorem(or(or(B_58,C_59),C_59)) ),
inference(resolution,[status(thm)],[c_215,c_29]) ).
tff(c_32536,plain,
! [B_3308,C_3309,B_3310] :
( theorem(or(or(B_3308,C_3309),B_3310))
| ~ theorem(or(or(B_3310,B_3310),C_3309)) ),
inference(resolution,[status(thm)],[c_32497,c_234]) ).
tff(c_35498,plain,
! [B_3360,B_3361,C_3362] :
( theorem(or(or(B_3360,B_3361),C_3362))
| ~ theorem(or(B_3361,C_3362)) ),
inference(resolution,[status(thm)],[c_233,c_32536]) ).
tff(c_35540,plain,
! [B_3360,B_3361] :
( theorem(or(B_3360,B_3361))
| ~ theorem(or(B_3361,or(B_3360,B_3361))) ),
inference(resolution,[status(thm)],[c_35498,c_29]) ).
tff(c_153200,plain,
! [A_7833,B_7834] : theorem(or(not(not(A_7833)),or(not(or(B_7834,A_7833)),B_7834))),
inference(resolution,[status(thm)],[c_153087,c_35540]) ).
tff(c_18,plain,
~ theorem(or(not(not(q)),or(not(or(p,q)),p))),
inference(cnfTransformation,[status(thm)],[f_86]) ).
tff(c_153222,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_153200,c_18]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : LCL211-1 : TPTP v8.1.2. Released v1.1.0.
% 0.00/0.14 % 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
% 0.15/0.35 % Computer : n002.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Thu Aug 3 14:09:01 EDT 2023
% 0.15/0.35 % CPUTime :
% 129.61/115.81 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 129.61/115.82
% 129.61/115.82 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 129.90/115.86
% 129.90/115.86 Inference rules
% 129.90/115.86 ----------------------
% 129.90/115.86 #Ref : 0
% 129.90/115.86 #Sup : 34479
% 129.90/115.86 #Fact : 0
% 129.90/115.86 #Define : 0
% 129.90/115.86 #Split : 0
% 129.90/115.86 #Chain : 0
% 129.90/115.86 #Close : 0
% 129.90/115.86
% 129.90/115.86 Ordering : KBO
% 129.90/115.86
% 129.90/115.86 Simplification rules
% 129.90/115.86 ----------------------
% 129.90/115.86 #Subsume : 1659
% 129.90/115.86 #Demod : 11245
% 129.90/115.86 #Tautology : 11255
% 129.90/115.86 #SimpNegUnit : 0
% 129.90/115.86 #BackRed : 1
% 129.90/115.86
% 129.90/115.86 #Partial instantiations: 0
% 129.90/115.86 #Strategies tried : 1
% 129.90/115.86
% 129.90/115.86 Timing (in seconds)
% 129.90/115.86 ----------------------
% 129.90/115.87 Preprocessing : 0.44
% 129.90/115.87 Parsing : 0.24
% 129.90/115.87 CNF conversion : 0.02
% 129.90/115.87 Main loop : 114.34
% 129.90/115.87 Inferencing : 9.48
% 129.90/115.87 Reduction : 45.12
% 129.90/115.87 Demodulation : 39.87
% 129.90/115.87 BG Simplification : 0.16
% 129.90/115.87 Subsumption : 55.09
% 129.90/115.87 Abstraction : 0.30
% 129.90/115.87 MUC search : 0.00
% 129.90/115.87 Cooper : 0.00
% 129.90/115.87 Total : 114.85
% 129.90/115.87 Index Insertion : 0.00
% 129.90/115.87 Index Deletion : 0.00
% 129.90/115.87 Index Matching : 0.00
% 129.90/115.87 BG Taut test : 0.00
%------------------------------------------------------------------------------