TSTP Solution File: LCL204-1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : LCL204-1 : 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 : 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 10:47:39 EDT 2023
% Result : Unsatisfiable 126.58s 113.42s
% Output : CNFRefutation 126.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 14
% Syntax : Number of formulae : 52 ( 18 unt; 6 typ; 0 def)
% Number of atoms : 83 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 76 ( 39 ~; 37 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 7 ( 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 : 114 (; 114 !; 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_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_86,axiom,
~ theorem(or(not(not(or(not(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_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_106,plain,
! [Y_37,Z_38,X_39] :
( ~ theorem(or(not(Y_37),Z_38))
| ~ axiom(or(not(X_39),Y_37))
| theorem(or(not(X_39),Z_38)) ),
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_106]) ).
tff(c_601,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_565]) ).
tff(c_624,plain,
! [B_110,A_111] : theorem(or(not(B_110),or(B_110,A_111))),
inference(resolution,[status(thm)],[c_6,c_601]) ).
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_631,plain,
! [B_110,A_111] : theorem(or(B_110,or(not(B_110),A_111))),
inference(resolution,[status(thm)],[c_624,c_101]) ).
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_140,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_97,c_14]) ).
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_140]) ).
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_4687,plain,
! [X_611,Y_612,B_613,C_614] :
( ~ axiom(or(not(X_611),Y_612))
| theorem(or(not(X_611),or(B_613,C_614)))
| ~ theorem(or(not(Y_612),C_614)) ),
inference(resolution,[status(thm)],[c_195,c_16]) ).
tff(c_13615,plain,
! [A_1500,B_1501,B_1502,C_1503] :
( theorem(or(not(or(A_1500,B_1501)),or(B_1502,C_1503)))
| ~ theorem(or(not(or(B_1501,A_1500)),C_1503)) ),
inference(resolution,[status(thm)],[c_6,c_4687]) ).
tff(c_148012,plain,
! [C_7709,A_7711,X_7712,B_7713,B_7710] :
( ~ axiom(or(not(X_7712),or(A_7711,B_7710)))
| theorem(or(not(X_7712),or(B_7713,C_7709)))
| ~ theorem(or(not(or(B_7710,A_7711)),C_7709)) ),
inference(resolution,[status(thm)],[c_13615,c_16]) ).
tff(c_148226,plain,
! [A_7722,B_7723,C_7724,B_7725] :
( theorem(or(not(A_7722),or(B_7723,C_7724)))
| ~ theorem(or(not(or(A_7722,B_7725)),C_7724)) ),
inference(resolution,[status(thm)],[c_4,c_148012]) ).
tff(c_152164,plain,
! [A_7726,B_7727,B_7728,A_7729] : theorem(or(not(A_7726),or(B_7727,or(not(not(or(A_7726,B_7728))),A_7729)))),
inference(resolution,[status(thm)],[c_631,c_148226]) ).
tff(c_152317,plain,
! [B_7740,A_7741,B_7742,A_7743] : theorem(or(B_7740,or(not(A_7741),or(not(not(or(A_7741,B_7742))),A_7743)))),
inference(resolution,[status(thm)],[c_152164,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_213,plain,
! [B_55,C_56,B_54] :
( theorem(or(or(B_55,C_56),B_54))
| ~ theorem(or(B_54,C_56)) ),
inference(resolution,[status(thm)],[c_195,c_40]) ).
tff(c_231,plain,
! [B_57,C_58,B_59] :
( theorem(or(or(B_57,C_58),B_59))
| ~ theorem(or(B_59,C_58)) ),
inference(resolution,[status(thm)],[c_195,c_40]) ).
tff(c_9002,plain,
! [B_1035,B_1036,C_1037,C_1038] :
( theorem(or(B_1035,or(or(B_1036,C_1037),C_1038)))
| ~ theorem(or(or(B_1035,C_1038),C_1037)) ),
inference(resolution,[status(thm)],[c_231,c_101]) ).
tff(c_34886,plain,
! [B_3537,C_3538,C_3539,B_3540] :
( theorem(or(or(or(B_3537,C_3538),C_3539),B_3540))
| ~ theorem(or(or(B_3540,C_3539),C_3538)) ),
inference(resolution,[status(thm)],[c_9002,c_40]) ).
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_214,plain,
! [B_55,C_56] :
( theorem(or(B_55,C_56))
| ~ theorem(or(or(B_55,C_56),C_56)) ),
inference(resolution,[status(thm)],[c_195,c_29]) ).
tff(c_34925,plain,
! [B_3541,C_3542,B_3543] :
( theorem(or(or(B_3541,C_3542),B_3543))
| ~ theorem(or(or(B_3543,B_3543),C_3542)) ),
inference(resolution,[status(thm)],[c_34886,c_214]) ).
tff(c_37474,plain,
! [B_3544,B_3545,C_3546] :
( theorem(or(or(B_3544,B_3545),C_3546))
| ~ theorem(or(B_3545,C_3546)) ),
inference(resolution,[status(thm)],[c_213,c_34925]) ).
tff(c_37516,plain,
! [B_3544,B_3545] :
( theorem(or(B_3544,B_3545))
| ~ theorem(or(B_3545,or(B_3544,B_3545))) ),
inference(resolution,[status(thm)],[c_37474,c_29]) ).
tff(c_152450,plain,
! [A_7744,B_7745,A_7746] : theorem(or(not(A_7744),or(not(not(or(A_7744,B_7745))),A_7746))),
inference(resolution,[status(thm)],[c_152317,c_37516]) ).
tff(c_152517,plain,
! [A_7744,B_7745,A_7746] : theorem(or(not(not(or(A_7744,B_7745))),or(not(A_7744),A_7746))),
inference(resolution,[status(thm)],[c_152450,c_101]) ).
tff(c_18,plain,
~ theorem(or(not(not(or(not(p),q))),or(not(not(p)),q))),
inference(cnfTransformation,[status(thm)],[f_86]) ).
tff(c_152607,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_152517,c_18]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : LCL204-1 : TPTP v8.1.2. Released v1.1.0.
% 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
% 0.14/0.35 % Computer : n012.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Thu Aug 3 13:31:22 EDT 2023
% 0.14/0.35 % CPUTime :
% 126.58/113.42 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 126.58/113.43
% 126.58/113.43 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 126.58/113.46
% 126.58/113.46 Inference rules
% 126.58/113.46 ----------------------
% 126.58/113.46 #Ref : 0
% 126.58/113.46 #Sup : 34287
% 126.58/113.46 #Fact : 0
% 126.58/113.46 #Define : 0
% 126.58/113.46 #Split : 0
% 126.58/113.46 #Chain : 0
% 126.58/113.46 #Close : 0
% 126.58/113.46
% 126.58/113.46 Ordering : KBO
% 126.58/113.46
% 126.58/113.46 Simplification rules
% 126.58/113.46 ----------------------
% 126.58/113.46 #Subsume : 1656
% 126.58/113.46 #Demod : 11320
% 126.58/113.46 #Tautology : 11330
% 126.58/113.46 #SimpNegUnit : 0
% 126.58/113.46 #BackRed : 1
% 126.58/113.46
% 126.58/113.46 #Partial instantiations: 0
% 126.58/113.46 #Strategies tried : 1
% 126.58/113.46
% 126.58/113.46 Timing (in seconds)
% 126.58/113.46 ----------------------
% 126.58/113.47 Preprocessing : 0.43
% 126.58/113.47 Parsing : 0.23
% 126.58/113.47 CNF conversion : 0.02
% 126.58/113.47 Main loop : 111.96
% 126.58/113.47 Inferencing : 9.06
% 126.58/113.47 Reduction : 44.26
% 126.58/113.47 Demodulation : 39.26
% 126.58/113.47 BG Simplification : 0.16
% 126.58/113.47 Subsumption : 54.08
% 126.58/113.47 Abstraction : 0.31
% 126.58/113.47 MUC search : 0.00
% 126.58/113.47 Cooper : 0.00
% 126.58/113.47 Total : 112.45
% 126.58/113.47 Index Insertion : 0.00
% 126.58/113.47 Index Deletion : 0.00
% 126.58/113.47 Index Matching : 0.00
% 126.58/113.47 BG Taut test : 0.00
%------------------------------------------------------------------------------