TSTP Solution File: LCL265-3 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : LCL265-3 : 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 : n007.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 10:47:50 EDT 2023
% Result : Timeout 288.00s 234.40s
% Output : None
% Verified :
% SZS Type : Refutation
% Derivation depth : 39
% Number of leaves : 19
% Syntax : Number of formulae : 168 ( 64 unt; 8 typ; 0 def)
% Number of atoms : 288 ( 11 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 258 ( 130 ~; 128 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 5 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 : 6 ( 6 usr; 1 con; 0-2 aty)
% Number of variables : 337 (; 337 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ theorem > axiom > or > implies > equivalent > and > #nlpp > not > 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(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_54,axiom,
! [A,B,C] : axiom(implies(implies(A,B),implies(or(C,A),or(C,B)))),
file(unknown,unknown) ).
tff(f_123,axiom,
~ theorem(equivalent(p,not(not(p)))),
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_126,plain,
! [A_44,B_45,C_46] : axiom(implies(or(A_44,or(B_45,C_46)),or(B_45,or(A_44,C_46)))),
inference(cnfTransformation,[status(thm)],[f_52]) ).
tff(c_139,plain,
! [X_12,B_45,Y_13] : axiom(implies(or(not(X_12),or(B_45,Y_13)),or(B_45,implies(X_12,Y_13)))),
inference(superposition,[status(thm),theory(equality)],[c_12,c_126]) ).
tff(c_832,plain,
! [X_135,B_136,Y_137] : axiom(implies(implies(X_135,or(B_136,Y_137)),or(B_136,implies(X_135,Y_137)))),
inference(demodulation,[status(thm),theory(equality)],[c_12,c_139]) ).
tff(c_55,plain,
! [Y_31,X_32] :
( ~ theorem(Y_31)
| ~ theorem(implies(Y_31,X_32))
| theorem(X_32) ),
inference(cnfTransformation,[status(thm)],[f_69]) ).
tff(c_59,plain,
! [Y_31,X_32] :
( ~ theorem(Y_31)
| theorem(X_32)
| ~ axiom(implies(Y_31,X_32)) ),
inference(resolution,[status(thm)],[c_14,c_55]) ).
tff(c_850,plain,
! [X_135,B_136,Y_137] :
( ~ theorem(implies(X_135,or(B_136,Y_137)))
| theorem(or(B_136,implies(X_135,Y_137))) ),
inference(resolution,[status(thm)],[c_832,c_59]) ).
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_96,plain,
! [Y_38,X_39] :
( ~ theorem(Y_38)
| theorem(X_39)
| ~ axiom(implies(Y_38,X_39)) ),
inference(resolution,[status(thm)],[c_14,c_55]) ).
tff(c_115,plain,
! [A_2,B_3] :
( ~ theorem(A_2)
| theorem(or(B_3,A_2)) ),
inference(resolution,[status(thm)],[c_4,c_96]) ).
tff(c_143,plain,
! [A_44,X_12,C_46] : axiom(implies(or(A_44,or(not(X_12),C_46)),implies(X_12,or(A_44,C_46)))),
inference(superposition,[status(thm),theory(equality)],[c_12,c_126]) ).
tff(c_593,plain,
! [A_98,X_99,C_100] : axiom(implies(or(A_98,implies(X_99,C_100)),implies(X_99,or(A_98,C_100)))),
inference(demodulation,[status(thm),theory(equality)],[c_12,c_143]) ).
tff(c_1414,plain,
! [A_218,X_219,C_220] :
( ~ theorem(or(A_218,implies(X_219,C_220)))
| theorem(implies(X_219,or(A_218,C_220))) ),
inference(resolution,[status(thm)],[c_593,c_59]) ).
tff(c_1496,plain,
! [X_230,B_231,C_232] :
( theorem(implies(X_230,or(B_231,C_232)))
| ~ theorem(implies(X_230,C_232)) ),
inference(resolution,[status(thm)],[c_115,c_1414]) ).
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_1514,plain,
! [X_233,B_234,C_235] :
( ~ theorem(X_233)
| theorem(or(B_234,C_235))
| ~ theorem(implies(X_233,C_235)) ),
inference(resolution,[status(thm)],[c_1496,c_16]) ).
tff(c_1646,plain,
! [X_245,B_246,C_247] :
( ~ theorem(X_245)
| theorem(or(B_246,C_247))
| ~ axiom(implies(X_245,C_247)) ),
inference(resolution,[status(thm)],[c_14,c_1514]) ).
tff(c_2842,plain,
! [A_333,B_334,B_335] :
( ~ theorem(or(A_333,B_334))
| theorem(or(B_335,or(B_334,A_333))) ),
inference(resolution,[status(thm)],[c_6,c_1646]) ).
tff(c_144,plain,
! [A_44,B_45,C_46] :
( ~ theorem(or(A_44,or(B_45,C_46)))
| theorem(or(B_45,or(A_44,C_46))) ),
inference(resolution,[status(thm)],[c_126,c_59]) ).
tff(c_3194,plain,
! [B_368,B_369,A_370] :
( theorem(or(B_368,or(B_369,A_370)))
| ~ theorem(or(A_370,B_368)) ),
inference(resolution,[status(thm)],[c_2842,c_144]) ).
tff(c_3259,plain,
! [B_373,X_374,Y_375] :
( theorem(or(B_373,implies(X_374,Y_375)))
| ~ theorem(or(Y_375,B_373)) ),
inference(superposition,[status(thm),theory(equality)],[c_12,c_3194]) ).
tff(c_2,plain,
! [A_1] : axiom(implies(or(A_1,A_1),A_1)),
inference(cnfTransformation,[status(thm)],[f_46]) ).
tff(c_116,plain,
! [A_1] :
( ~ theorem(or(A_1,A_1))
| theorem(A_1) ),
inference(resolution,[status(thm)],[c_2,c_96]) ).
tff(c_3751,plain,
! [X_415,Y_416] :
( theorem(implies(X_415,Y_416))
| ~ theorem(or(Y_416,implies(X_415,Y_416))) ),
inference(resolution,[status(thm)],[c_3259,c_116]) ).
tff(c_3995,plain,
! [X_427,Y_428] :
( theorem(implies(X_427,Y_428))
| ~ theorem(implies(X_427,or(Y_428,Y_428))) ),
inference(resolution,[status(thm)],[c_850,c_3751]) ).
tff(c_4100,plain,
! [X_431,Y_432] :
( theorem(implies(X_431,Y_432))
| ~ axiom(implies(X_431,or(Y_432,Y_432))) ),
inference(resolution,[status(thm)],[c_14,c_3995]) ).
tff(c_4354,plain,
! [A_436] : theorem(implies(A_436,A_436)),
inference(resolution,[status(thm)],[c_4,c_4100]) ).
tff(c_48,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_269,plain,
! [Y_66,X_67] : axiom(implies(or(Y_66,not(X_67)),implies(X_67,Y_66))),
inference(superposition,[status(thm),theory(equality)],[c_12,c_48]) ).
tff(c_298,plain,
! [Y_70,X_71] :
( ~ theorem(or(Y_70,not(X_71)))
| theorem(implies(X_71,Y_70)) ),
inference(resolution,[status(thm)],[c_269,c_59]) ).
tff(c_320,plain,
! [X_12,X_71] :
( ~ theorem(implies(X_12,not(X_71)))
| theorem(implies(X_71,not(X_12))) ),
inference(superposition,[status(thm),theory(equality)],[c_12,c_298]) ).
tff(c_4384,plain,
! [X_71] : theorem(implies(X_71,not(not(X_71)))),
inference(resolution,[status(thm)],[c_4354,c_320]) ).
tff(c_51,plain,
! [X_12,Y_13] : axiom(implies(implies(X_12,Y_13),or(Y_13,not(X_12)))),
inference(superposition,[status(thm),theory(equality)],[c_12,c_48]) ).
tff(c_4139,plain,
! [A_2] : theorem(implies(A_2,A_2)),
inference(resolution,[status(thm)],[c_4,c_4100]) ).
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_69,plain,
! [P_35,Q_36] : ( not(implies(P_35,not(Q_36))) = and(P_35,Q_36) ),
inference(demodulation,[status(thm),theory(equality)],[c_12,c_18]) ).
tff(c_78,plain,
! [P_35,Q_36,Y_13] : ( implies(implies(P_35,not(Q_36)),Y_13) = or(and(P_35,Q_36),Y_13) ),
inference(superposition,[status(thm),theory(equality)],[c_69,c_12]) ).
tff(c_31,plain,
! [X_25,Y_26] : ( or(not(X_25),Y_26) = implies(X_25,Y_26) ),
inference(cnfTransformation,[status(thm)],[f_56]) ).
tff(c_41,plain,
! [X_25] : axiom(implies(implies(X_25,not(X_25)),not(X_25))),
inference(superposition,[status(thm),theory(equality)],[c_31,c_2]) ).
tff(c_416,plain,
! [X_75] : axiom(or(and(X_75,X_75),not(X_75))),
inference(demodulation,[status(thm),theory(equality)],[c_78,c_41]) ).
tff(c_423,plain,
! [Q_20] : axiom(or(equivalent(Q_20,Q_20),not(implies(Q_20,Q_20)))),
inference(superposition,[status(thm),theory(equality)],[c_20,c_416]) ).
tff(c_444,plain,
! [X_79,Y_80] :
( theorem(implies(X_79,Y_80))
| ~ axiom(or(Y_80,not(X_79))) ),
inference(resolution,[status(thm)],[c_14,c_298]) ).
tff(c_458,plain,
! [Q_20] : theorem(implies(implies(Q_20,Q_20),equivalent(Q_20,Q_20))),
inference(resolution,[status(thm)],[c_423,c_444]) ).
tff(c_1543,plain,
! [Q_20,B_234] :
( ~ theorem(implies(Q_20,Q_20))
| theorem(or(B_234,equivalent(Q_20,Q_20))) ),
inference(resolution,[status(thm)],[c_458,c_1514]) ).
tff(c_4351,plain,
! [B_234,Q_20] : theorem(or(B_234,equivalent(Q_20,Q_20))),
inference(demodulation,[status(thm),theory(equality)],[c_4139,c_1543]) ).
tff(c_330,plain,
! [X_25] : axiom(or(and(X_25,X_25),not(X_25))),
inference(demodulation,[status(thm),theory(equality)],[c_78,c_41]) ).
tff(c_459,plain,
! [X_25] : theorem(implies(X_25,and(X_25,X_25))),
inference(resolution,[status(thm)],[c_330,c_444]) ).
tff(c_182,plain,
! [A_50,B_51,C_52] : axiom(implies(implies(A_50,B_51),implies(or(C_52,A_50),or(C_52,B_51)))),
inference(cnfTransformation,[status(thm)],[f_54]) ).
tff(c_191,plain,
! [A_50,Y_13,X_12] : axiom(implies(implies(A_50,Y_13),implies(or(not(X_12),A_50),implies(X_12,Y_13)))),
inference(superposition,[status(thm),theory(equality)],[c_12,c_182]) ).
tff(c_512,plain,
! [A_85,Y_86,X_87] : axiom(implies(implies(A_85,Y_86),implies(implies(X_87,A_85),implies(X_87,Y_86)))),
inference(demodulation,[status(thm),theory(equality)],[c_12,c_191]) ).
tff(c_2481,plain,
! [A_315,Y_316,X_317] :
( ~ theorem(implies(A_315,Y_316))
| theorem(implies(implies(X_317,A_315),implies(X_317,Y_316))) ),
inference(resolution,[status(thm)],[c_512,c_59]) ).
tff(c_10956,plain,
! [X_727,A_728,Y_729] :
( ~ theorem(implies(X_727,A_728))
| theorem(implies(X_727,Y_729))
| ~ theorem(implies(A_728,Y_729)) ),
inference(resolution,[status(thm)],[c_2481,c_16]) ).
tff(c_12459,plain,
! [X_812,Y_813] :
( theorem(implies(X_812,Y_813))
| ~ theorem(implies(and(X_812,X_812),Y_813)) ),
inference(resolution,[status(thm)],[c_459,c_10956]) ).
tff(c_12861,plain,
! [X_821,Y_822] :
( theorem(implies(X_821,Y_822))
| ~ axiom(implies(and(X_821,X_821),Y_822)) ),
inference(resolution,[status(thm)],[c_14,c_12459]) ).
tff(c_12880,plain,
! [X_821,B_3] : theorem(implies(X_821,or(B_3,and(X_821,X_821)))),
inference(resolution,[status(thm)],[c_4,c_12861]) ).
tff(c_5296,plain,
! [P_483,Q_484] : theorem(or(and(P_483,Q_484),implies(P_483,not(Q_484)))),
inference(superposition,[status(thm),theory(equality)],[c_78,c_4354]) ).
tff(c_611,plain,
! [A_98,X_99,C_100] :
( ~ theorem(or(A_98,implies(X_99,C_100)))
| theorem(implies(X_99,or(A_98,C_100))) ),
inference(resolution,[status(thm)],[c_593,c_59]) ).
tff(c_7594,plain,
! [P_551,Q_552] : theorem(implies(P_551,or(and(P_551,Q_552),not(Q_552)))),
inference(resolution,[status(thm)],[c_5296,c_611]) ).
tff(c_192,plain,
! [A_50,B_51,C_52] :
( ~ theorem(implies(A_50,B_51))
| theorem(implies(or(C_52,A_50),or(C_52,B_51))) ),
inference(resolution,[status(thm)],[c_182,c_59]) ).
tff(c_4064,plain,
! [B_429,A_430] :
( theorem(implies(or(B_429,A_430),B_429))
| ~ theorem(implies(A_430,B_429)) ),
inference(resolution,[status(thm)],[c_192,c_3995]) ).
tff(c_5691,plain,
! [B_499,A_500] :
( ~ theorem(or(B_499,A_500))
| theorem(B_499)
| ~ theorem(implies(A_500,B_499)) ),
inference(resolution,[status(thm)],[c_4064,c_16]) ).
tff(c_5873,plain,
! [B_3,A_2] :
( theorem(B_3)
| ~ theorem(implies(A_2,B_3))
| ~ theorem(A_2) ),
inference(resolution,[status(thm)],[c_115,c_5691]) ).
tff(c_8859,plain,
! [P_603,Q_604] :
( theorem(or(and(P_603,Q_604),not(Q_604)))
| ~ theorem(P_603) ),
inference(resolution,[status(thm)],[c_7594,c_5873]) ).
tff(c_280,plain,
! [Y_66,X_67] :
( ~ theorem(or(Y_66,not(X_67)))
| theorem(implies(X_67,Y_66)) ),
inference(resolution,[status(thm)],[c_269,c_59]) ).
tff(c_8906,plain,
! [Q_604,P_603] :
( theorem(implies(Q_604,and(P_603,Q_604)))
| ~ theorem(P_603) ),
inference(resolution,[status(thm)],[c_8859,c_280]) ).
tff(c_37,plain,
! [Y_26,X_25] : axiom(implies(Y_26,implies(X_25,Y_26))),
inference(superposition,[status(thm),theory(equality)],[c_31,c_4]) ).
tff(c_1682,plain,
! [Y_26,B_246,X_25] :
( ~ theorem(Y_26)
| theorem(or(B_246,implies(X_25,Y_26))) ),
inference(resolution,[status(thm)],[c_37,c_1646]) ).
tff(c_15397,plain,
! [B_924,X_925,Y_926] :
( theorem(B_924)
| ~ theorem(implies(implies(X_925,Y_926),B_924))
| ~ theorem(Y_926) ),
inference(resolution,[status(thm)],[c_1682,c_5691]) ).
tff(c_88649,plain,
! [P_2483,X_2484,Y_2485] :
( theorem(and(P_2483,implies(X_2484,Y_2485)))
| ~ theorem(Y_2485)
| ~ theorem(P_2483) ),
inference(resolution,[status(thm)],[c_8906,c_15397]) ).
tff(c_98370,plain,
! [P_2641,Q_2642] :
( theorem(equivalent(P_2641,Q_2642))
| ~ theorem(P_2641)
| ~ theorem(implies(P_2641,Q_2642)) ),
inference(superposition,[status(thm),theory(equality)],[c_20,c_88649]) ).
tff(c_176915,plain,
! [X_3542,B_3543] :
( theorem(equivalent(X_3542,or(B_3543,and(X_3542,X_3542))))
| ~ theorem(X_3542) ),
inference(resolution,[status(thm)],[c_12880,c_98370]) ).
tff(c_177010,plain,
! [Q_20,B_3543] :
( theorem(equivalent(implies(Q_20,Q_20),or(B_3543,equivalent(Q_20,Q_20))))
| ~ theorem(implies(Q_20,Q_20)) ),
inference(superposition,[status(thm),theory(equality)],[c_20,c_176915]) ).
tff(c_177039,plain,
! [Q_20,B_3543] : theorem(equivalent(implies(Q_20,Q_20),or(B_3543,equivalent(Q_20,Q_20)))),
inference(demodulation,[status(thm),theory(equality)],[c_4139,c_177010]) ).
tff(c_23,plain,
! [P_17,Q_18] : ( not(implies(P_17,not(Q_18))) = and(P_17,Q_18) ),
inference(demodulation,[status(thm),theory(equality)],[c_12,c_18]) ).
tff(c_195,plain,
! [A_53,B_54] :
( ~ theorem(or(A_53,B_54))
| theorem(or(B_54,A_53)) ),
inference(resolution,[status(thm)],[c_6,c_96]) ).
tff(c_205,plain,
! [A_55,B_56] :
( theorem(or(A_55,B_56))
| ~ theorem(A_55) ),
inference(resolution,[status(thm)],[c_115,c_195]) ).
tff(c_214,plain,
! [X_12,Y_13] :
( theorem(implies(X_12,Y_13))
| ~ theorem(not(X_12)) ),
inference(superposition,[status(thm),theory(equality)],[c_12,c_205]) ).
tff(c_7907,plain,
! [B_572,A_573] :
( theorem(B_572)
| ~ theorem(implies(A_573,B_572))
| ~ axiom(or(B_572,A_573)) ),
inference(resolution,[status(thm)],[c_14,c_5691]) ).
tff(c_8105,plain,
! [Y_576,X_577] :
( theorem(Y_576)
| ~ axiom(or(Y_576,X_577))
| ~ theorem(not(X_577)) ),
inference(resolution,[status(thm)],[c_214,c_7907]) ).
tff(c_9173,plain,
! [X_622,Y_623] :
( theorem(not(X_622))
| ~ axiom(implies(X_622,Y_623))
| ~ theorem(not(Y_623)) ),
inference(superposition,[status(thm),theory(equality)],[c_12,c_8105]) ).
tff(c_9222,plain,
! [Y_624,X_625] :
( theorem(not(Y_624))
| ~ theorem(not(implies(X_625,Y_624))) ),
inference(resolution,[status(thm)],[c_37,c_9173]) ).
tff(c_10020,plain,
! [Q_670,P_671] :
( theorem(not(not(Q_670)))
| ~ theorem(and(P_671,Q_670)) ),
inference(superposition,[status(thm),theory(equality)],[c_23,c_9222]) ).
tff(c_71655,plain,
! [Q_2193,P_2194] :
( theorem(not(not(implies(Q_2193,P_2194))))
| ~ theorem(equivalent(P_2194,Q_2193)) ),
inference(superposition,[status(thm),theory(equality)],[c_20,c_10020]) ).
tff(c_204,plain,
! [B_54,A_53] :
( theorem(or(B_54,A_53))
| ~ axiom(or(A_53,B_54)) ),
inference(resolution,[status(thm)],[c_14,c_195]) ).
tff(c_17380,plain,
! [B_1003,A_1004] :
( theorem(B_1003)
| ~ theorem(implies(A_1004,B_1003))
| ~ axiom(or(A_1004,B_1003)) ),
inference(resolution,[status(thm)],[c_204,c_5691]) ).
tff(c_17636,plain,
! [Y_1006,X_1007] :
( theorem(Y_1006)
| ~ axiom(or(X_1007,Y_1006))
| ~ theorem(not(X_1007)) ),
inference(resolution,[status(thm)],[c_214,c_17380]) ).
tff(c_29226,plain,
! [Y_1305,X_1306] :
( theorem(Y_1305)
| ~ axiom(implies(X_1306,Y_1305))
| ~ theorem(not(not(X_1306))) ),
inference(superposition,[status(thm),theory(equality)],[c_12,c_17636]) ).
tff(c_29279,plain,
! [B_3,A_2] :
( theorem(or(B_3,A_2))
| ~ theorem(not(not(A_2))) ),
inference(resolution,[status(thm)],[c_4,c_29226]) ).
tff(c_139308,plain,
! [B_3091,Q_3092,P_3093] :
( theorem(or(B_3091,implies(Q_3092,P_3093)))
| ~ theorem(equivalent(P_3093,Q_3092)) ),
inference(resolution,[status(thm)],[c_71655,c_29279]) ).
tff(c_1904,plain,
! [A_273,B_274,C_275] :
( ~ theorem(or(A_273,or(B_274,C_275)))
| theorem(or(B_274,or(A_273,C_275))) ),
inference(resolution,[status(thm)],[c_126,c_59]) ).
tff(c_2052,plain,
! [B_288,B_289,C_290] :
( theorem(or(B_288,or(B_289,C_290)))
| ~ theorem(or(B_288,C_290)) ),
inference(resolution,[status(thm)],[c_115,c_1904]) ).
tff(c_113,plain,
! [A_4,B_5] :
( ~ theorem(or(A_4,B_5))
| theorem(or(B_5,A_4)) ),
inference(resolution,[status(thm)],[c_6,c_96]) ).
tff(c_2073,plain,
! [B_289,C_290,B_288] :
( theorem(or(or(B_289,C_290),B_288))
| ~ theorem(or(B_288,C_290)) ),
inference(resolution,[status(thm)],[c_2052,c_113]) ).
tff(c_7661,plain,
! [Y_555] : theorem(implies(or(or(Y_555,Y_555),or(Y_555,Y_555)),Y_555)),
inference(resolution,[status(thm)],[c_2,c_4100]) ).
tff(c_20216,plain,
! [Y_1095] :
( theorem(Y_1095)
| ~ theorem(or(or(Y_1095,Y_1095),or(Y_1095,Y_1095))) ),
inference(resolution,[status(thm)],[c_7661,c_5873]) ).
tff(c_20388,plain,
! [C_290] :
( theorem(C_290)
| ~ theorem(or(or(C_290,C_290),C_290)) ),
inference(resolution,[status(thm)],[c_2073,c_20216]) ).
tff(c_139446,plain,
! [Q_3094,P_3095] :
( theorem(implies(Q_3094,P_3095))
| ~ theorem(equivalent(P_3095,Q_3094)) ),
inference(resolution,[status(thm)],[c_139308,c_20388]) ).
tff(c_114,plain,
! [Y_26,X_25] :
( ~ theorem(Y_26)
| theorem(implies(X_25,Y_26)) ),
inference(resolution,[status(thm)],[c_37,c_96]) ).
tff(c_11093,plain,
! [X_25,Y_729,Y_26] :
( theorem(implies(X_25,Y_729))
| ~ theorem(implies(Y_26,Y_729))
| ~ theorem(Y_26) ),
inference(resolution,[status(thm)],[c_114,c_10956]) ).
tff(c_247544,plain,
! [X_4396,P_4397,Q_4398] :
( theorem(implies(X_4396,P_4397))
| ~ theorem(Q_4398)
| ~ theorem(equivalent(P_4397,Q_4398)) ),
inference(resolution,[status(thm)],[c_139446,c_11093]) ).
tff(c_247548,plain,
! [X_4396,Q_20,B_3543] :
( theorem(implies(X_4396,implies(Q_20,Q_20)))
| ~ theorem(or(B_3543,equivalent(Q_20,Q_20))) ),
inference(resolution,[status(thm)],[c_177039,c_247544]) ).
tff(c_247805,plain,
! [X_4399,Q_4400] : theorem(implies(X_4399,implies(Q_4400,Q_4400))),
inference(demodulation,[status(thm),theory(equality)],[c_4351,c_247548]) ).
tff(c_1443,plain,
! [A_221,B_222,C_223] :
( ~ theorem(implies(A_221,B_222))
| theorem(implies(or(C_223,A_221),or(C_223,B_222))) ),
inference(resolution,[status(thm)],[c_182,c_59]) ).
tff(c_11908,plain,
! [C_788,A_789,B_790] :
( ~ theorem(or(C_788,A_789))
| theorem(or(C_788,B_790))
| ~ theorem(implies(A_789,B_790)) ),
inference(resolution,[status(thm)],[c_1443,c_16]) ).
tff(c_12046,plain,
! [B_234,B_790,Q_20] :
( theorem(or(B_234,B_790))
| ~ theorem(implies(equivalent(Q_20,Q_20),B_790)) ),
inference(resolution,[status(thm)],[c_4351,c_11908]) ).
tff(c_248374,plain,
! [B_4405,Q_4406] : theorem(or(B_4405,implies(Q_4406,Q_4406))),
inference(resolution,[status(thm)],[c_247805,c_12046]) ).
tff(c_331,plain,
! [P_72,Q_73,Y_74] : ( implies(implies(P_72,not(Q_73)),Y_74) = or(and(P_72,Q_73),Y_74) ),
inference(superposition,[status(thm),theory(equality)],[c_69,c_12]) ).
tff(c_10,plain,
! [A_9,B_10,C_11] : axiom(implies(implies(A_9,B_10),implies(or(C_11,A_9),or(C_11,B_10)))),
inference(cnfTransformation,[status(thm)],[f_54]) ).
tff(c_362,plain,
! [P_72,Q_73,C_11] : axiom(or(and(P_72,Q_73),implies(or(C_11,P_72),or(C_11,not(Q_73))))),
inference(superposition,[status(thm),theory(equality)],[c_331,c_10]) ).
tff(c_4724,plain,
! [P_454,Q_455,Y_456] :
( ~ theorem(implies(P_454,not(Q_455)))
| theorem(Y_456)
| ~ axiom(or(and(P_454,Q_455),Y_456)) ),
inference(superposition,[status(thm),theory(equality)],[c_331,c_59]) ).
tff(c_5655,plain,
! [Y_497,X_498] :
( theorem(Y_497)
| ~ axiom(or(and(X_498,not(X_498)),Y_497)) ),
inference(resolution,[status(thm)],[c_4384,c_4724]) ).
tff(c_36115,plain,
! [C_1494,P_1495] : theorem(implies(or(C_1494,P_1495),or(C_1494,not(not(P_1495))))),
inference(resolution,[status(thm)],[c_362,c_5655]) ).
tff(c_60745,plain,
! [C_2037,P_2038] :
( theorem(or(C_2037,not(not(P_2038))))
| ~ theorem(or(C_2037,P_2038)) ),
inference(resolution,[status(thm)],[c_36115,c_5873]) ).
tff(c_60858,plain,
! [P_2039,C_2040] :
( theorem(implies(not(P_2039),C_2040))
| ~ theorem(or(C_2040,P_2039)) ),
inference(resolution,[status(thm)],[c_60745,c_280]) ).
tff(c_5871,plain,
! [B_54,A_53] :
( theorem(B_54)
| ~ theorem(implies(A_53,B_54))
| ~ axiom(or(A_53,B_54)) ),
inference(resolution,[status(thm)],[c_204,c_5691]) ).
tff(c_60921,plain,
! [C_2040,P_2039] :
( theorem(C_2040)
| ~ axiom(or(not(P_2039),C_2040))
| ~ theorem(or(C_2040,P_2039)) ),
inference(resolution,[status(thm)],[c_60858,c_5871]) ).
tff(c_61027,plain,
! [C_2040,P_2039] :
( theorem(C_2040)
| ~ axiom(implies(P_2039,C_2040))
| ~ theorem(or(C_2040,P_2039)) ),
inference(demodulation,[status(thm),theory(equality)],[c_12,c_60921]) ).
tff(c_252584,plain,
! [B_4468,Q_4469] :
( theorem(B_4468)
| ~ axiom(implies(implies(Q_4469,Q_4469),B_4468)) ),
inference(resolution,[status(thm)],[c_248374,c_61027]) ).
tff(c_252688,plain,
! [Y_4470] : theorem(or(Y_4470,not(Y_4470))),
inference(resolution,[status(thm)],[c_51,c_252584]) ).
tff(c_1458,plain,
! [C_223,A_221,B_222] :
( ~ theorem(or(C_223,A_221))
| theorem(or(C_223,B_222))
| ~ theorem(implies(A_221,B_222)) ),
inference(resolution,[status(thm)],[c_1443,c_16]) ).
tff(c_273334,plain,
! [Y_4685,B_4686] :
( theorem(or(Y_4685,B_4686))
| ~ theorem(implies(not(Y_4685),B_4686)) ),
inference(resolution,[status(thm)],[c_252688,c_1458]) ).
tff(c_275437,plain,
! [Y_4701] : theorem(or(Y_4701,not(not(not(Y_4701))))),
inference(resolution,[status(thm)],[c_4384,c_273334]) ).
tff(c_275587,plain,
! [Y_4701] : theorem(implies(not(not(Y_4701)),Y_4701)),
inference(resolution,[status(thm)],[c_275437,c_280]) ).
tff(c_2211,plain,
! [X_299,B_300,Y_301] :
( ~ theorem(implies(X_299,or(B_300,Y_301)))
| theorem(or(B_300,implies(X_299,Y_301))) ),
inference(resolution,[status(thm)],[c_832,c_59]) ).
tff(c_2234,plain,
! [X_299,X_12,Y_301] :
( ~ theorem(implies(X_299,or(not(X_12),Y_301)))
| theorem(implies(X_12,implies(X_299,Y_301))) ),
inference(superposition,[status(thm),theory(equality)],[c_12,c_2211]) ).
tff(c_9679,plain,
! [X_648,X_649,Y_650] :
( ~ theorem(implies(X_648,implies(X_649,Y_650)))
| theorem(implies(X_649,implies(X_648,Y_650))) ),
inference(demodulation,[status(thm),theory(equality)],[c_12,c_2234]) ).
tff(c_9740,plain,
! [X_649,Y_650] : theorem(implies(X_649,implies(implies(X_649,Y_650),Y_650))),
inference(resolution,[status(thm)],[c_4139,c_9679]) ).
tff(c_248561,plain,
! [Q_4406,B_4405] : theorem(implies(Q_4406,or(B_4405,Q_4406))),
inference(resolution,[status(thm)],[c_248374,c_611]) ).
tff(c_274442,plain,
! [Y_4687,B_4688] : theorem(or(Y_4687,or(B_4688,not(Y_4687)))),
inference(resolution,[status(thm)],[c_248561,c_273334]) ).
tff(c_275848,plain,
! [B_4703,Y_4704] : theorem(or(B_4703,or(Y_4704,not(Y_4704)))),
inference(resolution,[status(thm)],[c_274442,c_144]) ).
tff(c_4099,plain,
! [B_429,A_430] :
( ~ theorem(or(B_429,A_430))
| theorem(B_429)
| ~ theorem(implies(A_430,B_429)) ),
inference(resolution,[status(thm)],[c_4064,c_16]) ).
tff(c_320650,plain,
! [B_5213,Y_5214] :
( theorem(B_5213)
| ~ theorem(implies(or(Y_5214,not(Y_5214)),B_5213)) ),
inference(resolution,[status(thm)],[c_275848,c_4099]) ).
tff(c_352770,plain,
! [Y_5458,Y_5459] : theorem(implies(implies(or(Y_5458,not(Y_5458)),Y_5459),Y_5459)),
inference(resolution,[status(thm)],[c_9740,c_320650]) ).
tff(c_4596,plain,
! [X_447] : theorem(implies(X_447,not(not(X_447)))),
inference(resolution,[status(thm)],[c_4354,c_320]) ).
tff(c_1512,plain,
! [X_230,B_231,C_232] :
( ~ theorem(X_230)
| theorem(or(B_231,C_232))
| ~ theorem(implies(X_230,C_232)) ),
inference(resolution,[status(thm)],[c_1496,c_16]) ).
tff(c_4626,plain,
! [X_447,B_231] :
( ~ theorem(X_447)
| theorem(or(B_231,not(not(X_447)))) ),
inference(resolution,[status(thm)],[c_4596,c_1512]) ).
tff(c_5834,plain,
! [B_231,X_447] :
( theorem(B_231)
| ~ theorem(implies(not(not(X_447)),B_231))
| ~ theorem(X_447) ),
inference(resolution,[status(thm)],[c_4626,c_5691]) ).
tff(c_61822,plain,
! [C_2044,X_2045] :
( theorem(C_2044)
| ~ theorem(X_2045)
| ~ theorem(or(C_2044,not(X_2045))) ),
inference(resolution,[status(thm)],[c_60858,c_5834]) ).
tff(c_62033,plain,
! [X_12,X_2045] :
( theorem(not(X_12))
| ~ theorem(X_2045)
| ~ theorem(implies(X_12,not(X_2045))) ),
inference(superposition,[status(thm),theory(equality)],[c_12,c_61822]) ).
tff(c_352844,plain,
! [Y_5458,X_2045] :
( theorem(not(implies(or(Y_5458,not(Y_5458)),not(X_2045))))
| ~ theorem(X_2045) ),
inference(resolution,[status(thm)],[c_352770,c_62033]) ).
tff(c_362939,plain,
! [Y_5567,X_5568] :
( theorem(and(or(Y_5567,not(Y_5567)),X_5568))
| ~ theorem(X_5568) ),
inference(demodulation,[status(thm),theory(equality)],[c_23,c_352844]) ).
tff(c_447733,plain,
! [X_6510,X_6511] :
( theorem(and(implies(X_6510,not(not(X_6510))),X_6511))
| ~ theorem(X_6511) ),
inference(superposition,[status(thm),theory(equality)],[c_12,c_362939]) ).
tff(c_448134,plain,
! [P_19] :
( theorem(equivalent(P_19,not(not(P_19))))
| ~ theorem(implies(not(not(P_19)),P_19)) ),
inference(superposition,[status(thm),theory(equality)],[c_20,c_447733]) ).
tff(c_448239,plain,
! [P_19] : theorem(equivalent(P_19,not(not(P_19)))),
inference(demodulation,[status(thm),theory(equality)],[c_275587,c_448134]) ).
tff(c_22,plain,
~ theorem(equivalent(p,not(not(p)))),
inference(cnfTransformation,[status(thm)],[f_123]) ).
tff(c_448243,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_448239,c_22]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.12 % Problem : LCL265-3 : TPTP v8.1.2. Released v2.3.0.
% 0.09/0.12 % 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
% 0.10/0.32 % Computer : n007.cluster.edu
% 0.10/0.32 % Model : x86_64 x86_64
% 0.10/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32 % Memory : 8042.1875MB
% 0.10/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32 % CPULimit : 300
% 0.10/0.32 % WCLimit : 300
% 0.10/0.32 % DateTime : Thu Aug 3 13:31:23 EDT 2023
% 0.10/0.32 % CPUTime :
% 288.00/234.40 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 288.00/234.42
% 288.00/234.42 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 288.15/234.48
% 288.15/234.48 Inference rules
% 288.15/234.48 ----------------------
% 288.15/234.48 #Ref : 0
% 288.15/234.48 #Sup : 106974
% 288.15/234.48 #Fact : 0
% 288.15/234.48 #Define : 0
% 288.15/234.48 #Split : 4
% 288.15/234.48 #Chain : 0
% 288.15/234.48 #Close : 0
% 288.15/234.48
% 288.15/234.48 Ordering : KBO
% 288.15/234.48
% 288.15/234.48 Simplification rules
% 288.15/234.48 ----------------------
% 288.15/234.48 #Subsume : 28826
% 288.15/234.48 #Demod : 57660
% 288.15/234.48 #Tautology : 17218
% 288.15/234.48 #SimpNegUnit : 349
% 288.15/234.48 #BackRed : 100
% 288.15/234.48
% 288.15/234.48 #Partial instantiations: 0
% 288.15/234.48 #Strategies tried : 1
% 288.15/234.48
% 288.15/234.48 Timing (in seconds)
% 288.15/234.48 ----------------------
% 288.15/234.48 Preprocessing : 0.61
% 288.15/234.48 Parsing : 0.33
% 288.15/234.48 CNF conversion : 0.03
% 288.15/234.48 Main loop : 232.65
% 288.15/234.48 Inferencing : 14.37
% 288.15/234.48 Reduction : 102.50
% 288.15/234.48 Demodulation : 76.94
% 288.15/234.48 BG Simplification : 0.53
% 288.15/234.48 Subsumption : 93.36
% 288.15/234.48 Abstraction : 0.98
% 288.15/234.48 MUC search : 0.00
% 288.15/234.48 Cooper : 0.00
% 288.15/234.48 Total : 233.37
% 288.15/234.48 Index Insertion : 0.00
% 288.15/234.48 Index Deletion : 0.00
% 288.15/234.48 Index Matching : 0.00
% 288.15/234.48 BG Taut test : 0.00
%------------------------------------------------------------------------------