TSTP Solution File: LCL208-1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : LCL208-1 : 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 : n008.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 10:47:40 EDT 2023
% Result : Unsatisfiable 137.41s 123.88s
% Output : CNFRefutation 137.41s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 15
% Syntax : Number of formulae : 66 ( 26 unt; 6 typ; 0 def)
% Number of atoms : 103 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 89 ( 46 ~; 43 |; 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 : 143 (; 143 !; 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_57,axiom,
! [A,B] : axiom(or(not(or(A,B)),or(B,A))),
file(unknown,unknown) ).
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_86,axiom,
~ theorem(or(not(or(p,q)),or(not(not(p)),q))),
file(unknown,unknown) ).
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_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_7670,plain,
! [B_966,B_967,C_968] :
( theorem(or(B_966,or(B_967,C_968)))
| ~ theorem(or(or(B_966,or(B_967,C_968)),C_968)) ),
inference(resolution,[status(thm)],[c_160,c_251]) ).
tff(c_8520,plain,
! [B_969,B_970] : theorem(or(not(or(B_969,or(B_970,B_969))),or(B_970,B_969))),
inference(resolution,[status(thm)],[c_564,c_7670]) ).
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_14544,plain,
! [X_1592,B_1593,B_1594] :
( ~ axiom(or(not(X_1592),or(B_1593,or(B_1594,B_1593))))
| theorem(or(not(X_1592),or(B_1594,B_1593))) ),
inference(resolution,[status(thm)],[c_8520,c_16]) ).
tff(c_14572,plain,
! [A_1595,C_1596] : theorem(or(not(or(A_1595,or(C_1596,C_1596))),or(A_1595,C_1596))),
inference(resolution,[status(thm)],[c_8,c_14544]) ).
tff(c_16821,plain,
! [X_1847,A_1848,C_1849] :
( ~ axiom(or(not(X_1847),or(A_1848,or(C_1849,C_1849))))
| theorem(or(not(X_1847),or(A_1848,C_1849))) ),
inference(resolution,[status(thm)],[c_14572,c_16]) ).
tff(c_16842,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_16821]) ).
tff(c_3413,plain,
! [X_454,Y_455,B_456,C_457] :
( ~ axiom(or(not(X_454),Y_455))
| theorem(or(not(X_454),or(B_456,C_457)))
| ~ theorem(or(not(Y_455),C_457)) ),
inference(resolution,[status(thm)],[c_215,c_16]) ).
tff(c_12076,plain,
! [A_1305,B_1306,B_1307,C_1308] :
( theorem(or(not(or(A_1305,B_1306)),or(B_1307,C_1308)))
| ~ theorem(or(not(or(B_1306,A_1305)),C_1308)) ),
inference(resolution,[status(thm)],[c_6,c_3413]) ).
tff(c_144412,plain,
! [B_7479,C_7480,A_7481,X_7482,B_7478] :
( ~ axiom(or(not(X_7482),or(A_7481,B_7479)))
| theorem(or(not(X_7482),or(B_7478,C_7480)))
| ~ theorem(or(not(or(B_7479,A_7481)),C_7480)) ),
inference(resolution,[status(thm)],[c_12076,c_16]) ).
tff(c_144553,plain,
! [A_7492,B_7493,C_7494,B_7495] :
( theorem(or(not(A_7492),or(B_7493,C_7494)))
| ~ theorem(or(not(or(A_7492,B_7495)),C_7494)) ),
inference(resolution,[status(thm)],[c_4,c_144412]) ).
tff(c_152564,plain,
! [A_7773,B_7774,B_7775] : theorem(or(not(not(A_7773)),or(B_7774,or(not(or(B_7775,A_7773)),B_7775)))),
inference(resolution,[status(thm)],[c_16842,c_144553]) ).
tff(c_156297,plain,
! [B_8003,A_8004,B_8005] : theorem(or(B_8003,or(not(not(A_8004)),or(not(or(B_8005,A_8004)),B_8005)))),
inference(resolution,[status(thm)],[c_152564,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_7242,plain,
! [B_913,B_914,C_915,C_916] :
( theorem(or(B_913,or(or(B_914,C_915),C_916)))
| ~ theorem(or(or(B_913,C_916),C_915)) ),
inference(resolution,[status(thm)],[c_301,c_101]) ).
tff(c_33912,plain,
! [B_3443,C_3444,C_3445,B_3446] :
( theorem(or(or(or(B_3443,C_3444),C_3445),B_3446))
| ~ theorem(or(or(B_3446,C_3445),C_3444)) ),
inference(resolution,[status(thm)],[c_7242,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_33951,plain,
! [B_3447,C_3448,B_3449] :
( theorem(or(or(B_3447,C_3448),B_3449))
| ~ theorem(or(or(B_3449,B_3449),C_3448)) ),
inference(resolution,[status(thm)],[c_33912,c_234]) ).
tff(c_37064,plain,
! [B_3505,B_3506,C_3507] :
( theorem(or(or(B_3505,B_3506),C_3507))
| ~ theorem(or(B_3506,C_3507)) ),
inference(resolution,[status(thm)],[c_233,c_33951]) ).
tff(c_37106,plain,
! [B_3505,B_3506] :
( theorem(or(B_3505,B_3506))
| ~ theorem(or(B_3506,or(B_3505,B_3506))) ),
inference(resolution,[status(thm)],[c_37064,c_29]) ).
tff(c_156430,plain,
! [A_8006,B_8007] : theorem(or(not(not(A_8006)),or(not(or(B_8007,A_8006)),B_8007))),
inference(resolution,[status(thm)],[c_156297,c_37106]) ).
tff(c_156567,plain,
! [B_8013,A_8014] : theorem(or(not(or(B_8013,A_8014)),or(not(not(A_8014)),B_8013))),
inference(resolution,[status(thm)],[c_156430,c_101]) ).
tff(c_158045,plain,
! [X_8110,B_8111,A_8112] :
( ~ axiom(or(not(X_8110),or(B_8111,A_8112)))
| theorem(or(not(X_8110),or(not(not(A_8112)),B_8111))) ),
inference(resolution,[status(thm)],[c_156567,c_16]) ).
tff(c_18,plain,
~ theorem(or(not(or(p,q)),or(not(not(p)),q))),
inference(cnfTransformation,[status(thm)],[f_86]) ).
tff(c_158096,plain,
~ axiom(or(not(or(p,q)),or(q,p))),
inference(resolution,[status(thm)],[c_158045,c_18]) ).
tff(c_158118,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_6,c_158096]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LCL208-1 : TPTP v8.1.2. Released v1.1.0.
% 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
% 0.13/0.34 % Computer : n008.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Thu Aug 3 13:31:18 EDT 2023
% 0.13/0.34 % CPUTime :
% 137.41/123.88 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 137.41/123.89
% 137.41/123.89 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 137.41/123.93
% 137.41/123.93 Inference rules
% 137.41/123.93 ----------------------
% 137.41/123.93 #Ref : 0
% 137.41/123.93 #Sup : 35572
% 137.41/123.93 #Fact : 0
% 137.41/123.93 #Define : 0
% 137.41/123.93 #Split : 0
% 137.41/123.93 #Chain : 0
% 137.41/123.93 #Close : 0
% 137.41/123.93
% 137.41/123.93 Ordering : KBO
% 137.41/123.93
% 137.41/123.93 Simplification rules
% 137.41/123.93 ----------------------
% 137.41/123.93 #Subsume : 1700
% 137.41/123.93 #Demod : 11599
% 137.41/123.93 #Tautology : 11609
% 137.41/123.93 #SimpNegUnit : 0
% 137.41/123.93 #BackRed : 0
% 137.41/123.93
% 137.41/123.93 #Partial instantiations: 0
% 137.41/123.93 #Strategies tried : 1
% 137.41/123.93
% 137.41/123.93 Timing (in seconds)
% 137.41/123.93 ----------------------
% 137.41/123.93 Preprocessing : 0.43
% 137.41/123.93 Parsing : 0.24
% 137.41/123.93 CNF conversion : 0.02
% 137.41/123.93 Main loop : 122.36
% 137.41/123.93 Inferencing : 10.07
% 137.41/123.93 Reduction : 47.65
% 137.41/123.93 Demodulation : 41.80
% 137.41/123.93 BG Simplification : 0.17
% 137.41/123.93 Subsumption : 59.57
% 137.41/123.93 Abstraction : 0.33
% 137.41/123.93 MUC search : 0.00
% 137.41/123.93 Cooper : 0.00
% 137.41/123.93 Total : 122.85
% 137.41/123.93 Index Insertion : 0.00
% 137.41/123.93 Index Deletion : 0.00
% 137.41/123.93 Index Matching : 0.00
% 137.41/123.93 BG Taut test : 0.00
%------------------------------------------------------------------------------