TSTP Solution File: LCL216-1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : LCL216-1 : 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 : n027.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 30.15s 20.59s
% Output : CNFRefutation 30.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 15
% Syntax : Number of formulae : 53 ( 22 unt; 6 typ; 0 def)
% Number of atoms : 80 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 69 ( 36 ~; 33 |; 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 : 110 (; 110 !; 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_55,axiom,
! [A,B] : axiom(or(not(A),or(B,A))),
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_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_53,axiom,
! [A] : axiom(or(not(or(A,A)),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_86,axiom,
~ theorem(or(not(or(p,q)),or(not(or(p,not(q))),p))),
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_4,plain,
! [A_2,B_3] : axiom(or(not(A_2),or(B_3,A_2))),
inference(cnfTransformation,[status(thm)],[f_55]) ).
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_12,plain,
! [X_12] :
( ~ axiom(X_12)
| theorem(X_12) ),
inference(cnfTransformation,[status(thm)],[f_66]) ).
tff(c_161,plain,
! [Y_48,Z_49,X_50] :
( ~ theorem(or(not(Y_48),Z_49))
| ~ axiom(or(not(X_50),Y_48))
| theorem(or(not(X_50),Z_49)) ),
inference(cnfTransformation,[status(thm)],[f_82]) ).
tff(c_565,plain,
! [X_102,Y_103,Z_104] :
( ~ axiom(or(not(X_102),Y_103))
| theorem(or(not(X_102),Z_104))
| ~ axiom(or(not(Y_103),Z_104)) ),
inference(resolution,[status(thm)],[c_12,c_161]) ).
tff(c_1134,plain,
! [A_196,B_197,C_198,Z_199] :
( theorem(or(not(or(A_196,or(B_197,C_198))),Z_199))
| ~ axiom(or(not(or(B_197,or(A_196,C_198))),Z_199)) ),
inference(resolution,[status(thm)],[c_8,c_565]) ).
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_7127,plain,
! [X_878,Z_879,C_877,B_876,A_875] :
( ~ axiom(or(not(X_878),or(A_875,or(B_876,C_877))))
| theorem(or(not(X_878),Z_879))
| ~ axiom(or(not(or(B_876,or(A_875,C_877))),Z_879)) ),
inference(resolution,[status(thm)],[c_1134,c_16]) ).
tff(c_12925,plain,
! [B_1395,C_1396,Z_1397,B_1398] :
( theorem(or(not(or(B_1395,C_1396)),Z_1397))
| ~ axiom(or(not(or(B_1395,or(B_1398,C_1396))),Z_1397)) ),
inference(resolution,[status(thm)],[c_4,c_7127]) ).
tff(c_12953,plain,
! [A_1399,C_1400,B_1401] : theorem(or(not(or(A_1399,C_1400)),or(or(B_1401,C_1400),A_1399))),
inference(resolution,[status(thm)],[c_6,c_12925]) ).
tff(c_110,plain,
! [A_36,B_37,C_38] : axiom(or(not(or(A_36,or(B_37,C_38))),or(B_37,or(A_36,C_38)))),
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_114,plain,
! [A_36,B_37,C_38] :
( ~ theorem(or(A_36,or(B_37,C_38)))
| theorem(or(B_37,or(A_36,C_38))) ),
inference(resolution,[status(thm)],[c_110,c_14]) ).
tff(c_12967,plain,
! [B_1402,C_1403,A_1404] : theorem(or(or(B_1402,C_1403),or(not(or(A_1404,C_1403)),A_1404))),
inference(resolution,[status(thm)],[c_12953,c_114]) ).
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_13015,plain,
! [A_1411,C_1412,B_1413] : theorem(or(or(not(or(A_1411,C_1412)),A_1411),or(B_1413,C_1412))),
inference(resolution,[status(thm)],[c_12967,c_40]) ).
tff(c_13055,plain,
! [B_1414,A_1415,C_1416] : theorem(or(B_1414,or(or(not(or(A_1415,C_1416)),A_1415),C_1416))),
inference(resolution,[status(thm)],[c_13015,c_114]) ).
tff(c_2,plain,
! [A_1] : axiom(or(not(or(A_1,A_1)),A_1)),
inference(cnfTransformation,[status(thm)],[f_53]) ).
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_29,plain,
! [A_1] :
( ~ theorem(or(A_1,A_1))
| theorem(A_1) ),
inference(resolution,[status(thm)],[c_2,c_22]) ).
tff(c_13106,plain,
! [A_1417,C_1418] : theorem(or(or(not(or(A_1417,C_1418)),A_1417),C_1418)),
inference(resolution,[status(thm)],[c_13055,c_29]) ).
tff(c_13130,plain,
! [C_1418,A_1417] : theorem(or(C_1418,or(not(or(A_1417,C_1418)),A_1417))),
inference(resolution,[status(thm)],[c_13106,c_40]) ).
tff(c_123,plain,
! [A_39,B_40,C_41] : axiom(or(not(or(not(A_39),B_40)),or(not(or(C_41,A_39)),or(C_41,B_40)))),
inference(cnfTransformation,[status(thm)],[f_61]) ).
tff(c_447,plain,
! [A_87,B_88,C_89] :
( ~ theorem(or(not(A_87),B_88))
| theorem(or(not(or(C_89,A_87)),or(C_89,B_88))) ),
inference(resolution,[status(thm)],[c_123,c_14]) ).
tff(c_1018,plain,
! [C_174,A_175,B_176] :
( theorem(or(C_174,or(not(or(C_174,A_175)),B_176)))
| ~ theorem(or(not(A_175),B_176)) ),
inference(resolution,[status(thm)],[c_447,c_114]) ).
tff(c_1028,plain,
! [C_174,A_175,B_176] :
( theorem(or(or(not(or(C_174,A_175)),B_176),C_174))
| ~ theorem(or(not(A_175),B_176)) ),
inference(resolution,[status(thm)],[c_1018,c_40]) ).
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_128,plain,
! [A_42,B_43,C_44] :
( ~ theorem(or(A_42,or(B_43,C_44)))
| theorem(or(B_43,or(A_42,C_44))) ),
inference(resolution,[status(thm)],[c_110,c_14]) ).
tff(c_143,plain,
! [B_43,B_3,C_44] :
( theorem(or(B_43,or(B_3,C_44)))
| ~ theorem(or(B_43,C_44)) ),
inference(resolution,[status(thm)],[c_30,c_128]) ).
tff(c_195,plain,
! [B_54,B_55,C_56] :
( theorem(or(B_54,or(B_55,C_56)))
| ~ theorem(or(B_54,C_56)) ),
inference(resolution,[status(thm)],[c_30,c_128]) ).
tff(c_244,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_195,c_29]) ).
tff(c_7967,plain,
! [B_1012,B_1013,C_1014] :
( theorem(or(B_1012,or(B_1013,C_1014)))
| ~ theorem(or(or(B_1012,or(B_1013,C_1014)),C_1014)) ),
inference(resolution,[status(thm)],[c_143,c_244]) ).
tff(c_44195,plain,
! [C_3812,A_3813,B_3814] :
( theorem(or(not(or(C_3812,A_3813)),or(B_3814,C_3812)))
| ~ theorem(or(not(A_3813),or(B_3814,C_3812))) ),
inference(resolution,[status(thm)],[c_1028,c_7967]) ).
tff(c_18,plain,
~ theorem(or(not(or(p,q)),or(not(or(p,not(q))),p))),
inference(cnfTransformation,[status(thm)],[f_86]) ).
tff(c_44209,plain,
~ theorem(or(not(q),or(not(or(p,not(q))),p))),
inference(resolution,[status(thm)],[c_44195,c_18]) ).
tff(c_44220,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_13130,c_44209]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : LCL216-1 : TPTP v8.1.2. Released v1.1.0.
% 0.12/0.13 % 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
% 0.13/0.35 % Computer : n027.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Thu Aug 3 14:44:08 EDT 2023
% 0.13/0.35 % CPUTime :
% 30.15/20.59 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 30.15/20.60
% 30.15/20.60 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 30.15/20.63
% 30.15/20.63 Inference rules
% 30.15/20.63 ----------------------
% 30.15/20.63 #Ref : 0
% 30.15/20.63 #Sup : 9699
% 30.15/20.63 #Fact : 0
% 30.15/20.63 #Define : 0
% 30.15/20.63 #Split : 0
% 30.15/20.63 #Chain : 0
% 30.15/20.63 #Close : 0
% 30.15/20.63
% 30.15/20.63 Ordering : KBO
% 30.15/20.63
% 30.15/20.63 Simplification rules
% 30.15/20.63 ----------------------
% 30.15/20.63 #Subsume : 777
% 30.15/20.63 #Demod : 4044
% 30.15/20.63 #Tautology : 4049
% 30.15/20.63 #SimpNegUnit : 0
% 30.15/20.63 #BackRed : 0
% 30.15/20.63
% 30.15/20.63 #Partial instantiations: 0
% 30.15/20.63 #Strategies tried : 1
% 30.15/20.63
% 30.15/20.63 Timing (in seconds)
% 30.15/20.63 ----------------------
% 30.15/20.64 Preprocessing : 0.47
% 30.15/20.64 Parsing : 0.26
% 30.15/20.64 CNF conversion : 0.02
% 30.15/20.64 Main loop : 19.02
% 30.15/20.64 Inferencing : 3.23
% 30.15/20.64 Reduction : 7.82
% 30.15/20.64 Demodulation : 6.54
% 30.15/20.64 BG Simplification : 0.07
% 30.15/20.64 Subsumption : 7.12
% 30.15/20.64 Abstraction : 0.11
% 30.15/20.64 MUC search : 0.00
% 30.15/20.64 Cooper : 0.00
% 30.15/20.64 Total : 19.55
% 30.15/20.64 Index Insertion : 0.00
% 30.15/20.64 Index Deletion : 0.00
% 30.15/20.64 Index Matching : 0.00
% 30.15/20.64 BG Taut test : 0.00
%------------------------------------------------------------------------------