TSTP Solution File: LCL296-3 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : LCL296-3 : 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/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 : n012.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 10:47:53 EDT 2023
% Result : Unsatisfiable 7.19s 2.85s
% Output : CNFRefutation 7.44s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 19
% Syntax : Number of formulae : 67 ( 32 unt; 9 typ; 0 def)
% Number of atoms : 91 ( 9 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 69 ( 36 ~; 33 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 11 ( 7 >; 4 *; 0 +; 0 <<)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 2 con; 0-2 aty)
% Number of variables : 111 (; 111 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ theorem > axiom > or > implies > equivalent > and > #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(equivalent,type,
equivalent: ( $i * $i ) > $i ).
tff(and,type,
and: ( $i * $i ) > $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_61,axiom,
! [X] :
( theorem(X)
| ~ axiom(X) ),
file(unknown,unknown) ).
tff(f_56,axiom,
! [X,Y] : ( implies(X,Y) = or(not(X),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_69,axiom,
! [X,Y] :
( theorem(X)
| ~ theorem(implies(Y,X))
| ~ theorem(Y) ),
file(unknown,unknown) ).
tff(f_50,axiom,
! [A,B] : axiom(implies(or(A,B),or(B,A))),
file(unknown,unknown) ).
tff(f_46,axiom,
! [A] : axiom(implies(or(A,A),A)),
file(unknown,unknown) ).
tff(f_119,axiom,
! [P,Q] : ( equivalent(P,Q) = and(implies(P,Q),implies(Q,P)) ),
file(unknown,unknown) ).
tff(f_96,axiom,
! [P,Q] : ( and(P,Q) = not(or(not(P),not(Q))) ),
file(unknown,unknown) ).
tff(f_123,axiom,
~ theorem(equivalent(implies(p,not(q)),or(not(p),not(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_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_230,plain,
! [A_60,B_61,C_62] : axiom(implies(or(A_60,or(B_61,C_62)),or(B_61,or(A_60,C_62)))),
inference(cnfTransformation,[status(thm)],[f_52]) ).
tff(c_240,plain,
! [X_12,B_61,C_62] : axiom(implies(implies(X_12,or(B_61,C_62)),or(B_61,or(not(X_12),C_62)))),
inference(superposition,[status(thm),theory(equality)],[c_12,c_230]) ).
tff(c_660,plain,
! [X_106,B_107,C_108] : axiom(implies(implies(X_106,or(B_107,C_108)),or(B_107,implies(X_106,C_108)))),
inference(demodulation,[status(thm),theory(equality)],[c_12,c_240]) ).
tff(c_70,plain,
! [Y_33,X_34] :
( ~ theorem(Y_33)
| ~ theorem(implies(Y_33,X_34))
| theorem(X_34) ),
inference(cnfTransformation,[status(thm)],[f_69]) ).
tff(c_74,plain,
! [Y_33,X_34] :
( ~ theorem(Y_33)
| theorem(X_34)
| ~ axiom(implies(Y_33,X_34)) ),
inference(resolution,[status(thm)],[c_14,c_70]) ).
tff(c_678,plain,
! [X_106,B_107,C_108] :
( ~ theorem(implies(X_106,or(B_107,C_108)))
| theorem(or(B_107,implies(X_106,C_108))) ),
inference(resolution,[status(thm)],[c_660,c_74]) ).
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_93,plain,
! [Y_38,X_39] :
( ~ theorem(Y_38)
| theorem(X_39)
| ~ axiom(implies(Y_38,X_39)) ),
inference(resolution,[status(thm)],[c_14,c_70]) ).
tff(c_113,plain,
! [A_2,B_3] :
( ~ theorem(A_2)
| theorem(or(B_3,A_2)) ),
inference(resolution,[status(thm)],[c_4,c_93]) ).
tff(c_236,plain,
! [A_60,X_12,Y_13] : axiom(implies(or(A_60,implies(X_12,Y_13)),or(not(X_12),or(A_60,Y_13)))),
inference(superposition,[status(thm),theory(equality)],[c_12,c_230]) ).
tff(c_925,plain,
! [A_138,X_139,Y_140] : axiom(implies(or(A_138,implies(X_139,Y_140)),implies(X_139,or(A_138,Y_140)))),
inference(demodulation,[status(thm),theory(equality)],[c_12,c_236]) ).
tff(c_1794,plain,
! [A_256,X_257,Y_258] :
( ~ theorem(or(A_256,implies(X_257,Y_258)))
| theorem(implies(X_257,or(A_256,Y_258))) ),
inference(resolution,[status(thm)],[c_925,c_74]) ).
tff(c_1850,plain,
! [X_261,B_262,Y_263] :
( theorem(implies(X_261,or(B_262,Y_263)))
| ~ theorem(implies(X_261,Y_263)) ),
inference(resolution,[status(thm)],[c_113,c_1794]) ).
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_1868,plain,
! [X_264,B_265,Y_266] :
( ~ theorem(X_264)
| theorem(or(B_265,Y_266))
| ~ theorem(implies(X_264,Y_266)) ),
inference(resolution,[status(thm)],[c_1850,c_16]) ).
tff(c_2451,plain,
! [X_296,B_297,Y_298] :
( ~ theorem(X_296)
| theorem(or(B_297,Y_298))
| ~ axiom(implies(X_296,Y_298)) ),
inference(resolution,[status(thm)],[c_14,c_1868]) ).
tff(c_2751,plain,
! [A_326,B_327,B_328] :
( ~ theorem(or(A_326,B_327))
| theorem(or(B_328,or(B_327,A_326))) ),
inference(resolution,[status(thm)],[c_6,c_2451]) ).
tff(c_248,plain,
! [A_60,B_61,C_62] :
( ~ theorem(or(A_60,or(B_61,C_62)))
| theorem(or(B_61,or(A_60,C_62))) ),
inference(resolution,[status(thm)],[c_230,c_74]) ).
tff(c_3425,plain,
! [B_370,B_371,A_372] :
( theorem(or(B_370,or(B_371,A_372)))
| ~ theorem(or(A_372,B_370)) ),
inference(resolution,[status(thm)],[c_2751,c_248]) ).
tff(c_2,plain,
! [A_1] : axiom(implies(or(A_1,A_1),A_1)),
inference(cnfTransformation,[status(thm)],[f_46]) ).
tff(c_112,plain,
! [A_1] :
( ~ theorem(or(A_1,A_1))
| theorem(A_1) ),
inference(resolution,[status(thm)],[c_2,c_93]) ).
tff(c_3692,plain,
! [B_399,A_400] :
( theorem(or(B_399,A_400))
| ~ theorem(or(A_400,or(B_399,A_400))) ),
inference(resolution,[status(thm)],[c_3425,c_112]) ).
tff(c_3779,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_3692]) ).
tff(c_4014,plain,
! [X_418,Y_419] :
( theorem(implies(X_418,Y_419))
| ~ theorem(or(Y_419,implies(X_418,Y_419))) ),
inference(demodulation,[status(thm),theory(equality)],[c_12,c_3779]) ).
tff(c_4481,plain,
! [X_440,C_441] :
( theorem(implies(X_440,C_441))
| ~ theorem(implies(X_440,or(C_441,C_441))) ),
inference(resolution,[status(thm)],[c_678,c_4014]) ).
tff(c_4591,plain,
! [X_444,C_445] :
( theorem(implies(X_444,C_445))
| ~ axiom(implies(X_444,or(C_445,C_445))) ),
inference(resolution,[status(thm)],[c_14,c_4481]) ).
tff(c_4631,plain,
! [A_2] : theorem(implies(A_2,A_2)),
inference(resolution,[status(thm)],[c_4,c_4591]) ).
tff(c_20,plain,
! [P_19,Q_20] : ( and(implies(P_19,Q_20),implies(Q_20,P_19)) = equivalent(P_19,Q_20) ),
inference(cnfTransformation,[status(thm)],[f_119]) ).
tff(c_18,plain,
! [P_17,Q_18] : ( not(or(not(P_17),not(Q_18))) = and(P_17,Q_18) ),
inference(cnfTransformation,[status(thm)],[f_96]) ).
tff(c_52,plain,
! [P_31,Q_32] : ( not(implies(P_31,not(Q_32))) = and(P_31,Q_32) ),
inference(demodulation,[status(thm),theory(equality)],[c_12,c_18]) ).
tff(c_61,plain,
! [P_31,Q_32,Y_13] : ( implies(implies(P_31,not(Q_32)),Y_13) = or(and(P_31,Q_32),Y_13) ),
inference(superposition,[status(thm),theory(equality)],[c_52,c_12]) ).
tff(c_28,plain,
! [X_25,Y_26] : ( or(not(X_25),Y_26) = implies(X_25,Y_26) ),
inference(cnfTransformation,[status(thm)],[f_56]) ).
tff(c_35,plain,
! [X_25] : axiom(implies(implies(X_25,not(X_25)),not(X_25))),
inference(superposition,[status(thm),theory(equality)],[c_28,c_2]) ).
tff(c_503,plain,
! [X_93] : axiom(or(and(X_93,X_93),not(X_93))),
inference(demodulation,[status(thm),theory(equality)],[c_61,c_35]) ).
tff(c_45,plain,
! [A_29,B_30] : axiom(implies(or(A_29,B_30),or(B_30,A_29))),
inference(cnfTransformation,[status(thm)],[f_50]) ).
tff(c_258,plain,
! [Y_64,X_65] : axiom(implies(or(Y_64,not(X_65)),implies(X_65,Y_64))),
inference(superposition,[status(thm),theory(equality)],[c_12,c_45]) ).
tff(c_282,plain,
! [Y_68,X_69] :
( ~ theorem(or(Y_68,not(X_69)))
| theorem(implies(X_69,Y_68)) ),
inference(resolution,[status(thm)],[c_258,c_74]) ).
tff(c_309,plain,
! [X_69,Y_68] :
( theorem(implies(X_69,Y_68))
| ~ axiom(or(Y_68,not(X_69))) ),
inference(resolution,[status(thm)],[c_14,c_282]) ).
tff(c_515,plain,
! [X_94] : theorem(implies(X_94,and(X_94,X_94))),
inference(resolution,[status(thm)],[c_503,c_309]) ).
tff(c_528,plain,
! [X_95] :
( ~ theorem(X_95)
| theorem(and(X_95,X_95)) ),
inference(resolution,[status(thm)],[c_515,c_16]) ).
tff(c_538,plain,
! [Q_20] :
( ~ theorem(implies(Q_20,Q_20))
| theorem(equivalent(Q_20,Q_20)) ),
inference(superposition,[status(thm),theory(equality)],[c_20,c_528]) ).
tff(c_4639,plain,
! [Q_20] : theorem(equivalent(Q_20,Q_20)),
inference(demodulation,[status(thm),theory(equality)],[c_4631,c_538]) ).
tff(c_22,plain,
~ theorem(equivalent(implies(p,not(q)),or(not(p),not(q)))),
inference(cnfTransformation,[status(thm)],[f_123]) ).
tff(c_23,plain,
~ theorem(equivalent(implies(p,not(q)),implies(p,not(q)))),
inference(demodulation,[status(thm),theory(equality)],[c_12,c_22]) ).
tff(c_4687,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_4639,c_23]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : LCL296-3 : TPTP v8.1.2. Released v2.3.0.
% 0.00/0.14 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/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
% 0.15/0.36 % Computer : n012.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Thu Aug 3 13:21:52 EDT 2023
% 0.15/0.36 % CPUTime :
% 7.19/2.85 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 7.19/2.85
% 7.19/2.85 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 7.44/2.89
% 7.44/2.89 Inference rules
% 7.44/2.89 ----------------------
% 7.44/2.89 #Ref : 0
% 7.44/2.89 #Sup : 1116
% 7.44/2.89 #Fact : 0
% 7.44/2.89 #Define : 0
% 7.44/2.89 #Split : 2
% 7.44/2.89 #Chain : 0
% 7.44/2.89 #Close : 0
% 7.44/2.89
% 7.44/2.89 Ordering : KBO
% 7.44/2.89
% 7.44/2.89 Simplification rules
% 7.44/2.89 ----------------------
% 7.44/2.89 #Subsume : 424
% 7.44/2.89 #Demod : 390
% 7.44/2.89 #Tautology : 92
% 7.44/2.89 #SimpNegUnit : 0
% 7.44/2.89 #BackRed : 6
% 7.44/2.89
% 7.44/2.89 #Partial instantiations: 0
% 7.44/2.89 #Strategies tried : 1
% 7.44/2.89
% 7.44/2.89 Timing (in seconds)
% 7.44/2.89 ----------------------
% 7.44/2.89 Preprocessing : 0.45
% 7.44/2.89 Parsing : 0.24
% 7.44/2.89 CNF conversion : 0.02
% 7.44/2.89 Main loop : 1.28
% 7.44/2.89 Inferencing : 0.47
% 7.44/2.89 Reduction : 0.38
% 7.44/2.89 Demodulation : 0.27
% 7.44/2.89 BG Simplification : 0.03
% 7.44/2.89 Subsumption : 0.31
% 7.44/2.89 Abstraction : 0.03
% 7.44/2.89 MUC search : 0.00
% 7.44/2.89 Cooper : 0.00
% 7.44/2.89 Total : 1.78
% 7.44/2.89 Index Insertion : 0.00
% 7.44/2.89 Index Deletion : 0.00
% 7.44/2.89 Index Matching : 0.00
% 7.44/2.89 BG Taut test : 0.00
%------------------------------------------------------------------------------