TSTP Solution File: LCL227-1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : LCL227-1 : 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 : n015.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 10:47:44 EDT 2023
% Result : Unsatisfiable 213.28s 196.32s
% Output : CNFRefutation 213.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 17
% Syntax : Number of formulae : 65 ( 31 unt; 8 typ; 0 def)
% Number of atoms : 93 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 76 ( 40 ~; 36 |; 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 : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 137 (; 137 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ theorem > axiom > or > #nlpp > not > s > r > q > p
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(r,type,
r: $i ).
tff(s,type,
s: $i ).
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_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_59,axiom,
! [A,B,C] : axiom(or(not(or(A,or(B,C))),or(B,or(A,C)))),
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(not(q),or(not(r),s))),or(not(or(p,q)),or(not(or(p,r)),or(p,s))))),
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_12,plain,
! [X_12] :
( ~ axiom(X_12)
| theorem(X_12) ),
inference(cnfTransformation,[status(thm)],[f_66]) ).
tff(c_121,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_520,plain,
! [X_101,Y_102,Z_103] :
( ~ axiom(or(not(X_101),Y_102))
| theorem(or(not(X_101),Z_103))
| ~ axiom(or(not(Y_102),Z_103)) ),
inference(resolution,[status(thm)],[c_12,c_121]) ).
tff(c_565,plain,
! [A_107,Z_108,B_109] :
( theorem(or(not(A_107),Z_108))
| ~ axiom(or(not(or(B_109,A_107)),Z_108)) ),
inference(resolution,[status(thm)],[c_4,c_520]) ).
tff(c_588,plain,
! [B_110,A_111] : theorem(or(not(B_110),or(B_110,A_111))),
inference(resolution,[status(thm)],[c_6,c_565]) ).
tff(c_56,plain,
! [A_32,B_33,C_34] : axiom(or(not(or(A_32,or(B_33,C_34))),or(B_33,or(A_32,C_34)))),
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_60,plain,
! [A_32,B_33,C_34] :
( ~ theorem(or(A_32,or(B_33,C_34)))
| theorem(or(B_33,or(A_32,C_34))) ),
inference(resolution,[status(thm)],[c_56,c_14]) ).
tff(c_598,plain,
! [B_112,A_113] : theorem(or(B_112,or(not(B_112),A_113))),
inference(resolution,[status(thm)],[c_588,c_60]) ).
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_621,plain,
! [B_116,A_117] : theorem(or(or(not(B_116),A_117),B_116)),
inference(resolution,[status(thm)],[c_598,c_40]) ).
tff(c_886,plain,
! [B_159,C_160,A_161] : theorem(or(B_159,or(or(not(or(B_159,C_160)),A_161),C_160))),
inference(resolution,[status(thm)],[c_621,c_60]) ).
tff(c_938,plain,
! [B_168,C_169,A_170] : theorem(or(or(or(not(or(B_168,C_169)),A_170),C_169),B_168)),
inference(resolution,[status(thm)],[c_886,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_79,plain,
! [A_39,B_40,C_41] :
( ~ theorem(or(A_39,or(B_40,C_41)))
| theorem(or(B_40,or(A_39,C_41))) ),
inference(resolution,[status(thm)],[c_56,c_14]) ).
tff(c_142,plain,
! [B_51,B_52,C_53] :
( theorem(or(B_51,or(B_52,C_53)))
| ~ theorem(or(B_51,C_53)) ),
inference(resolution,[status(thm)],[c_30,c_79]) ).
tff(c_2,plain,
! [A_1] : axiom(or(not(or(A_1,A_1)),A_1)),
inference(cnfTransformation,[status(thm)],[f_53]) ).
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_157,plain,
! [B_52,C_53] :
( theorem(or(B_52,C_53))
| ~ theorem(or(or(B_52,C_53),C_53)) ),
inference(resolution,[status(thm)],[c_142,c_29]) ).
tff(c_952,plain,
! [B_171,A_172] : theorem(or(or(not(or(B_171,B_171)),A_172),B_171)),
inference(resolution,[status(thm)],[c_938,c_157]) ).
tff(c_975,plain,
! [B_176,A_177] : theorem(or(B_176,or(not(or(B_176,B_176)),A_177))),
inference(resolution,[status(thm)],[c_952,c_40]) ).
tff(c_984,plain,
! [B_176,A_177] : theorem(or(not(or(B_176,B_176)),or(B_176,A_177))),
inference(resolution,[status(thm)],[c_975,c_60]) ).
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_211,plain,
! [A_59,B_60,C_61] : axiom(or(not(or(not(A_59),B_60)),or(not(or(C_61,A_59)),or(C_61,B_60)))),
inference(cnfTransformation,[status(thm)],[f_61]) ).
tff(c_389,plain,
! [A_84,B_85,C_86] :
( ~ theorem(or(not(A_84),B_85))
| theorem(or(not(or(C_86,A_84)),or(C_86,B_85))) ),
inference(resolution,[status(thm)],[c_211,c_14]) ).
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_1381,plain,
! [X_206,C_207,A_208,B_209] :
( ~ axiom(or(not(X_206),or(C_207,A_208)))
| theorem(or(not(X_206),or(C_207,B_209)))
| ~ theorem(or(not(A_208),B_209)) ),
inference(resolution,[status(thm)],[c_389,c_16]) ).
tff(c_4867,plain,
! [A_565,B_566,C_567,B_568] :
( theorem(or(not(or(A_565,or(B_566,C_567))),or(B_566,B_568)))
| ~ theorem(or(not(or(A_565,C_567)),B_568)) ),
inference(resolution,[status(thm)],[c_8,c_1381]) ).
tff(c_25298,plain,
! [C_2485,A_2484,B_2482,B_2483,X_2486] :
( ~ axiom(or(not(X_2486),or(A_2484,or(B_2483,C_2485))))
| theorem(or(not(X_2486),or(B_2483,B_2482)))
| ~ theorem(or(not(or(A_2484,C_2485)),B_2482)) ),
inference(resolution,[status(thm)],[c_4867,c_16]) ).
tff(c_25569,plain,
! [B_2516,C_2517,B_2518,B_2519] :
( theorem(or(not(or(B_2516,C_2517)),or(B_2516,B_2518)))
| ~ theorem(or(not(or(B_2519,C_2517)),B_2518)) ),
inference(resolution,[status(thm)],[c_4,c_25298]) ).
tff(c_27045,plain,
! [B_2520,B_2521,A_2522] : theorem(or(not(or(B_2520,B_2521)),or(B_2520,or(B_2521,A_2522)))),
inference(resolution,[status(thm)],[c_984,c_25569]) ).
tff(c_27067,plain,
! [B_2523,B_2524,A_2525] : theorem(or(B_2523,or(not(or(B_2523,B_2524)),or(B_2524,A_2525)))),
inference(resolution,[status(thm)],[c_27045,c_60]) ).
tff(c_27190,plain,
! [B_2541,B_2542,A_2543] : theorem(or(or(not(or(B_2541,B_2542)),or(B_2542,A_2543)),B_2541)),
inference(resolution,[status(thm)],[c_27067,c_40]) ).
tff(c_27214,plain,
! [B_2544,A_2545] : theorem(or(not(or(or(B_2544,A_2545),B_2544)),or(B_2544,A_2545))),
inference(resolution,[status(thm)],[c_27190,c_157]) ).
tff(c_30401,plain,
! [X_2962,B_2963,A_2964] :
( ~ axiom(or(not(X_2962),or(or(B_2963,A_2964),B_2963)))
| theorem(or(not(X_2962),or(B_2963,A_2964))) ),
inference(resolution,[status(thm)],[c_27214,c_16]) ).
tff(c_30419,plain,
! [A_4,A_2964] : theorem(or(not(or(A_4,or(A_4,A_2964))),or(A_4,A_2964))),
inference(resolution,[status(thm)],[c_6,c_30401]) ).
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_6758,plain,
! [A_779,B_780,C_781,B_782] :
( theorem(or(not(or(not(A_779),B_780)),or(not(or(C_781,A_779)),B_782)))
| ~ theorem(or(not(or(C_781,B_780)),B_782)) ),
inference(resolution,[status(thm)],[c_10,c_1381]) ).
tff(c_28861,plain,
! [B_2765,C_2769,B_2767,X_2768,A_2766] :
( ~ axiom(or(not(X_2768),or(not(A_2766),B_2765)))
| theorem(or(not(X_2768),or(not(or(C_2769,A_2766)),B_2767)))
| ~ theorem(or(not(or(C_2769,B_2765)),B_2767)) ),
inference(resolution,[status(thm)],[c_6758,c_16]) ).
tff(c_200232,plain,
! [A_9966,B_9967,A_9963,C_9965,C_9964] :
( theorem(or(not(or(A_9966,or(not(A_9963),C_9964))),or(not(or(C_9965,A_9963)),B_9967)))
| ~ theorem(or(not(or(C_9965,or(A_9966,C_9964))),B_9967)) ),
inference(resolution,[status(thm)],[c_8,c_28861]) ).
tff(c_18,plain,
~ theorem(or(not(or(not(q),or(not(r),s))),or(not(or(p,q)),or(not(or(p,r)),or(p,s))))),
inference(cnfTransformation,[status(thm)],[f_86]) ).
tff(c_6771,plain,
~ theorem(or(not(or(p,or(not(r),s))),or(not(or(p,r)),or(p,s)))),
inference(resolution,[status(thm)],[c_6758,c_18]) ).
tff(c_200269,plain,
~ theorem(or(not(or(p,or(p,s))),or(p,s))),
inference(resolution,[status(thm)],[c_200232,c_6771]) ).
tff(c_200300,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_30419,c_200269]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LCL227-1 : 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 : n015.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 14:00:13 EDT 2023
% 0.13/0.34 % CPUTime :
% 213.28/196.32 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 213.37/196.33
% 213.37/196.33 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 213.37/196.37
% 213.37/196.37 Inference rules
% 213.37/196.37 ----------------------
% 213.37/196.37 #Ref : 0
% 213.37/196.37 #Sup : 45299
% 213.37/196.37 #Fact : 0
% 213.37/196.37 #Define : 0
% 213.37/196.37 #Split : 1
% 213.37/196.37 #Chain : 0
% 213.37/196.37 #Close : 0
% 213.37/196.37
% 213.37/196.37 Ordering : KBO
% 213.37/196.37
% 213.37/196.37 Simplification rules
% 213.37/196.37 ----------------------
% 213.37/196.37 #Subsume : 2858
% 213.37/196.37 #Demod : 13985
% 213.37/196.37 #Tautology : 13994
% 213.37/196.37 #SimpNegUnit : 0
% 213.37/196.37 #BackRed : 0
% 213.37/196.37
% 213.37/196.37 #Partial instantiations: 0
% 213.37/196.37 #Strategies tried : 1
% 213.37/196.37
% 213.37/196.37 Timing (in seconds)
% 213.37/196.37 ----------------------
% 213.37/196.38 Preprocessing : 0.41
% 213.37/196.38 Parsing : 0.22
% 213.37/196.38 CNF conversion : 0.02
% 213.37/196.38 Main loop : 194.91
% 213.37/196.38 Inferencing : 16.96
% 213.37/196.38 Reduction : 76.38
% 213.37/196.38 Demodulation : 64.54
% 213.37/196.38 BG Simplification : 0.22
% 213.37/196.38 Subsumption : 92.25
% 213.37/196.38 Abstraction : 0.46
% 213.37/196.38 MUC search : 0.00
% 213.37/196.38 Cooper : 0.00
% 213.37/196.38 Total : 195.37
% 213.37/196.38 Index Insertion : 0.00
% 213.37/196.38 Index Deletion : 0.00
% 213.37/196.38 Index Matching : 0.00
% 213.37/196.38 BG Taut test : 0.00
%------------------------------------------------------------------------------