TSTP Solution File: LCL094-1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : LCL094-1 : TPTP v8.1.2. Released v1.0.0.
% 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 10:47:21 EDT 2023
% Result : Unsatisfiable 19.87s 10.25s
% Output : CNFRefutation 20.05s
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 7
% Syntax : Number of formulae : 117 ( 75 unt; 4 typ; 0 def)
% Number of atoms : 159 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 107 ( 61 ~; 46 |; 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 : 3 ( 2 >; 1 *; 0 +; 0 <<)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 310 (; 310 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ is_a_theorem > implies > #nlpp > b > a
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(a,type,
a: $i ).
tff(is_a_theorem,type,
is_a_theorem: $i > $o ).
tff(b,type,
b: $i ).
tff(implies,type,
implies: ( $i * $i ) > $i ).
tff(f_35,axiom,
! [P,R,S,Q,T] : is_a_theorem(implies(implies(implies(P,Q),implies(R,S)),implies(T,implies(implies(S,P),implies(R,P))))),
file(unknown,unknown) ).
tff(f_33,axiom,
! [X,Y] :
( ~ is_a_theorem(implies(X,Y))
| ~ is_a_theorem(X)
| is_a_theorem(Y) ),
file(unknown,unknown) ).
tff(f_37,axiom,
~ is_a_theorem(implies(a,implies(implies(a,b),b))),
file(unknown,unknown) ).
tff(c_4,plain,
! [S_5,T_7,P_3,R_4,Q_6] : is_a_theorem(implies(implies(implies(P_3,Q_6),implies(R_4,S_5)),implies(T_7,implies(implies(S_5,P_3),implies(R_4,P_3))))),
inference(cnfTransformation,[status(thm)],[f_35]) ).
tff(c_8,plain,
! [P_14,Q_13,S_11,T_10,R_12] : is_a_theorem(implies(implies(implies(P_14,Q_13),implies(R_12,S_11)),implies(T_10,implies(implies(S_11,P_14),implies(R_12,P_14))))),
inference(cnfTransformation,[status(thm)],[f_35]) ).
tff(c_2,plain,
! [Y_2,X_1] :
( is_a_theorem(Y_2)
| ~ is_a_theorem(X_1)
| ~ is_a_theorem(implies(X_1,Y_2)) ),
inference(cnfTransformation,[status(thm)],[f_33]) ).
tff(c_13,plain,
! [R_18,T_16,P_19,Q_15,S_17] :
( is_a_theorem(implies(T_16,implies(implies(S_17,P_19),implies(R_18,P_19))))
| ~ is_a_theorem(implies(implies(P_19,Q_15),implies(R_18,S_17))) ),
inference(resolution,[status(thm)],[c_8,c_2]) ).
tff(c_17,plain,
! [T_20,P_25,Q_24,S_21,T_22,R_23] : is_a_theorem(implies(T_22,implies(implies(implies(implies(S_21,P_25),implies(R_23,P_25)),implies(P_25,Q_24)),implies(T_20,implies(P_25,Q_24))))),
inference(resolution,[status(thm)],[c_4,c_13]) ).
tff(c_25,plain,
! [T_20,P_25,Q_24,S_21,T_22,R_23] :
( is_a_theorem(implies(implies(implies(implies(S_21,P_25),implies(R_23,P_25)),implies(P_25,Q_24)),implies(T_20,implies(P_25,Q_24))))
| ~ is_a_theorem(T_22) ),
inference(resolution,[status(thm)],[c_17,c_2]) ).
tff(c_26,plain,
! [T_22] : ~ is_a_theorem(T_22),
inference(splitLeft,[status(thm)],[c_25]) ).
tff(c_16,plain,
! [S_5,T_7,T_16,P_3,R_4,Q_6] : is_a_theorem(implies(T_16,implies(implies(implies(implies(S_5,P_3),implies(R_4,P_3)),implies(P_3,Q_6)),implies(T_7,implies(P_3,Q_6))))),
inference(resolution,[status(thm)],[c_4,c_13]) ).
tff(c_31,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_26,c_16]) ).
tff(c_32,plain,
! [T_20,P_25,Q_24,S_21,R_23] : is_a_theorem(implies(implies(implies(implies(S_21,P_25),implies(R_23,P_25)),implies(P_25,Q_24)),implies(T_20,implies(P_25,Q_24)))),
inference(splitRight,[status(thm)],[c_25]) ).
tff(c_33,plain,
! [R_26,T_28,P_29,S_27,Q_30] : is_a_theorem(implies(implies(implies(implies(S_27,P_29),implies(R_26,P_29)),implies(P_29,Q_30)),implies(T_28,implies(P_29,Q_30)))),
inference(splitRight,[status(thm)],[c_25]) ).
tff(c_41,plain,
! [P_34,T_31,S_33,R_32,Q_35] :
( is_a_theorem(implies(T_31,implies(P_34,Q_35)))
| ~ is_a_theorem(implies(implies(implies(S_33,P_34),implies(R_32,P_34)),implies(P_34,Q_35))) ),
inference(resolution,[status(thm)],[c_33,c_2]) ).
tff(c_69,plain,
! [T_40,R_41,P_42] : is_a_theorem(implies(T_40,implies(implies(R_41,P_42),implies(P_42,implies(R_41,P_42))))),
inference(resolution,[status(thm)],[c_32,c_41]) ).
tff(c_82,plain,
! [R_41,P_42,T_40] :
( is_a_theorem(implies(implies(R_41,P_42),implies(P_42,implies(R_41,P_42))))
| ~ is_a_theorem(T_40) ),
inference(resolution,[status(thm)],[c_69,c_2]) ).
tff(c_158,plain,
! [T_40] : ~ is_a_theorem(T_40),
inference(splitLeft,[status(thm)],[c_82]) ).
tff(c_12,plain,
! [P_14,Q_13,S_11,T_10,R_12] :
( is_a_theorem(implies(T_10,implies(implies(S_11,P_14),implies(R_12,P_14))))
| ~ is_a_theorem(implies(implies(P_14,Q_13),implies(R_12,S_11))) ),
inference(resolution,[status(thm)],[c_8,c_2]) ).
tff(c_24,plain,
! [T_20,P_14,P_25,Q_24,S_21,T_10,R_23] : is_a_theorem(implies(T_10,implies(implies(implies(T_20,implies(P_25,Q_24)),P_14),implies(implies(implies(implies(S_21,P_25),implies(R_23,P_25)),implies(P_25,Q_24)),P_14)))),
inference(resolution,[status(thm)],[c_17,c_12]) ).
tff(c_171,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_158,c_24]) ).
tff(c_203,plain,
! [R_65,P_66] : is_a_theorem(implies(implies(R_65,P_66),implies(P_66,implies(R_65,P_66)))),
inference(splitRight,[status(thm)],[c_82]) ).
tff(c_237,plain,
! [T_69,R_70,P_71] : is_a_theorem(implies(T_69,implies(implies(implies(R_70,P_71),R_70),implies(P_71,R_70)))),
inference(resolution,[status(thm)],[c_203,c_12]) ).
tff(c_258,plain,
! [R_70,P_71,T_69] :
( is_a_theorem(implies(implies(implies(R_70,P_71),R_70),implies(P_71,R_70)))
| ~ is_a_theorem(T_69) ),
inference(resolution,[status(thm)],[c_237,c_2]) ).
tff(c_337,plain,
! [T_69] : ~ is_a_theorem(T_69),
inference(splitLeft,[status(thm)],[c_258]) ).
tff(c_215,plain,
! [T_10,R_65,P_66] : is_a_theorem(implies(T_10,implies(implies(implies(R_65,P_66),R_65),implies(P_66,R_65)))),
inference(resolution,[status(thm)],[c_203,c_12]) ).
tff(c_356,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_337,c_215]) ).
tff(c_379,plain,
! [R_80,P_81] : is_a_theorem(implies(implies(implies(R_80,P_81),R_80),implies(P_81,R_80))),
inference(splitRight,[status(thm)],[c_258]) ).
tff(c_40,plain,
! [R_26,T_28,P_29,S_27,Q_30] :
( is_a_theorem(implies(T_28,implies(P_29,Q_30)))
| ~ is_a_theorem(implies(implies(implies(S_27,P_29),implies(R_26,P_29)),implies(P_29,Q_30))) ),
inference(resolution,[status(thm)],[c_33,c_2]) ).
tff(c_403,plain,
! [T_82,P_83,R_84] : is_a_theorem(implies(T_82,implies(P_83,implies(R_84,P_83)))),
inference(resolution,[status(thm)],[c_379,c_40]) ).
tff(c_424,plain,
! [P_83,R_84,T_82] :
( is_a_theorem(implies(P_83,implies(R_84,P_83)))
| ~ is_a_theorem(T_82) ),
inference(resolution,[status(thm)],[c_403,c_2]) ).
tff(c_425,plain,
! [T_82] : ~ is_a_theorem(T_82),
inference(splitLeft,[status(thm)],[c_424]) ).
tff(c_397,plain,
! [T_28,P_81,R_26] : is_a_theorem(implies(T_28,implies(P_81,implies(R_26,P_81)))),
inference(resolution,[status(thm)],[c_379,c_40]) ).
tff(c_443,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_425,c_397]) ).
tff(c_460,plain,
! [P_91,R_92] : is_a_theorem(implies(P_91,implies(R_92,P_91))),
inference(splitRight,[status(thm)],[c_424]) ).
tff(c_936,plain,
! [T_140,P_141,Q_142,R_143] : is_a_theorem(implies(T_140,implies(implies(implies(P_141,Q_142),P_141),implies(R_143,P_141)))),
inference(resolution,[status(thm)],[c_460,c_12]) ).
tff(c_970,plain,
! [P_141,Q_142,R_143,T_140] :
( is_a_theorem(implies(implies(implies(P_141,Q_142),P_141),implies(R_143,P_141)))
| ~ is_a_theorem(T_140) ),
inference(resolution,[status(thm)],[c_936,c_2]) ).
tff(c_1003,plain,
! [T_140] : ~ is_a_theorem(T_140),
inference(splitLeft,[status(thm)],[c_970]) ).
tff(c_478,plain,
! [T_10,P_14,Q_13,R_92] : is_a_theorem(implies(T_10,implies(implies(implies(P_14,Q_13),P_14),implies(R_92,P_14)))),
inference(resolution,[status(thm)],[c_460,c_12]) ).
tff(c_1033,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1003,c_478]) ).
tff(c_1070,plain,
! [P_147,Q_148,R_149] : is_a_theorem(implies(implies(implies(P_147,Q_148),P_147),implies(R_149,P_147))),
inference(splitRight,[status(thm)],[c_970]) ).
tff(c_5371,plain,
! [T_376,P_377,Q_378,R_379] : is_a_theorem(implies(T_376,implies(implies(P_377,implies(P_377,Q_378)),implies(R_379,implies(P_377,Q_378))))),
inference(resolution,[status(thm)],[c_1070,c_12]) ).
tff(c_5449,plain,
! [P_377,Q_378,R_379,T_376] :
( is_a_theorem(implies(implies(P_377,implies(P_377,Q_378)),implies(R_379,implies(P_377,Q_378))))
| ~ is_a_theorem(T_376) ),
inference(resolution,[status(thm)],[c_5371,c_2]) ).
tff(c_5873,plain,
! [T_376] : ~ is_a_theorem(T_376),
inference(splitLeft,[status(thm)],[c_5449]) ).
tff(c_444,plain,
! [P_83,R_84] : is_a_theorem(implies(P_83,implies(R_84,P_83))),
inference(splitRight,[status(thm)],[c_424]) ).
tff(c_865,plain,
! [T_128,R_129,P_130,P_131] : is_a_theorem(implies(T_128,implies(implies(implies(R_129,P_130),P_131),implies(P_130,P_131)))),
inference(resolution,[status(thm)],[c_403,c_12]) ).
tff(c_899,plain,
! [R_129,P_130,P_131,T_128] :
( is_a_theorem(implies(implies(implies(R_129,P_130),P_131),implies(P_130,P_131)))
| ~ is_a_theorem(T_128) ),
inference(resolution,[status(thm)],[c_865,c_2]) ).
tff(c_971,plain,
! [T_128] : ~ is_a_theorem(T_128),
inference(splitLeft,[status(thm)],[c_899]) ).
tff(c_1001,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_971,c_478]) ).
tff(c_1036,plain,
! [R_144,P_145,P_146] : is_a_theorem(implies(implies(implies(R_144,P_145),P_146),implies(P_145,P_146))),
inference(splitRight,[status(thm)],[c_899]) ).
tff(c_55,plain,
! [T_36,T_37,P_38,R_39] : is_a_theorem(implies(T_36,implies(T_37,implies(implies(T_37,P_38),implies(R_39,P_38))))),
inference(resolution,[status(thm)],[c_4,c_41]) ).
tff(c_68,plain,
! [T_37,P_38,R_39,T_36] :
( is_a_theorem(implies(T_37,implies(implies(T_37,P_38),implies(R_39,P_38))))
| ~ is_a_theorem(T_36) ),
inference(resolution,[status(thm)],[c_55,c_2]) ).
tff(c_83,plain,
! [T_36] : ~ is_a_theorem(T_36),
inference(splitLeft,[status(thm)],[c_68]) ).
tff(c_51,plain,
! [T_31,R_23,P_25] : is_a_theorem(implies(T_31,implies(implies(R_23,P_25),implies(P_25,implies(R_23,P_25))))),
inference(resolution,[status(thm)],[c_32,c_41]) ).
tff(c_92,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_83,c_51]) ).
tff(c_94,plain,
! [T_43,P_44,R_45] : is_a_theorem(implies(T_43,implies(implies(T_43,P_44),implies(R_45,P_44)))),
inference(splitRight,[status(thm)],[c_68]) ).
tff(c_103,plain,
! [T_46,P_47,R_48] :
( is_a_theorem(implies(implies(T_46,P_47),implies(R_48,P_47)))
| ~ is_a_theorem(T_46) ),
inference(resolution,[status(thm)],[c_94,c_2]) ).
tff(c_114,plain,
! [R_48,P_47,T_46] :
( is_a_theorem(implies(R_48,P_47))
| ~ is_a_theorem(implies(T_46,P_47))
| ~ is_a_theorem(T_46) ),
inference(resolution,[status(thm)],[c_103,c_2]) ).
tff(c_1815,plain,
! [R_188,P_189,P_190,R_191] :
( is_a_theorem(implies(R_188,implies(P_189,P_190)))
| ~ is_a_theorem(implies(implies(R_191,P_189),P_190)) ),
inference(resolution,[status(thm)],[c_1036,c_114]) ).
tff(c_1922,plain,
! [R_188,P_189,R_84,R_191] : is_a_theorem(implies(R_188,implies(P_189,implies(R_84,implies(R_191,P_189))))),
inference(resolution,[status(thm)],[c_444,c_1815]) ).
tff(c_102,plain,
! [T_43,P_44,R_45] :
( is_a_theorem(implies(implies(T_43,P_44),implies(R_45,P_44)))
| ~ is_a_theorem(T_43) ),
inference(resolution,[status(thm)],[c_94,c_2]) ).
tff(c_129,plain,
! [R_56,P_57,T_58] :
( is_a_theorem(implies(R_56,P_57))
| ~ is_a_theorem(implies(T_58,P_57))
| ~ is_a_theorem(T_58) ),
inference(resolution,[status(thm)],[c_103,c_2]) ).
tff(c_148,plain,
! [R_56,R_45,P_44,T_43] :
( is_a_theorem(implies(R_56,implies(R_45,P_44)))
| ~ is_a_theorem(implies(T_43,P_44))
| ~ is_a_theorem(T_43) ),
inference(resolution,[status(thm)],[c_102,c_129]) ).
tff(c_5450,plain,
! [P_382,R_380,R_384,Q_381,R_383] :
( is_a_theorem(implies(R_380,implies(R_384,implies(R_383,P_382))))
| ~ is_a_theorem(implies(implies(P_382,Q_381),P_382)) ),
inference(resolution,[status(thm)],[c_1070,c_148]) ).
tff(c_5622,plain,
! [R_84,R_380,R_384,R_191,R_383,P_189] : is_a_theorem(implies(R_380,implies(R_384,implies(R_383,implies(P_189,implies(R_84,implies(R_191,P_189))))))),
inference(resolution,[status(thm)],[c_1922,c_5450]) ).
tff(c_5953,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_5873,c_5622]) ).
tff(c_5954,plain,
! [P_377,Q_378,R_379] : is_a_theorem(implies(implies(P_377,implies(P_377,Q_378)),implies(R_379,implies(P_377,Q_378)))),
inference(splitRight,[status(thm)],[c_5449]) ).
tff(c_1103,plain,
! [P_150,P_151,R_152] :
( is_a_theorem(implies(P_150,P_151))
| ~ is_a_theorem(implies(implies(R_152,P_150),P_151)) ),
inference(resolution,[status(thm)],[c_1036,c_2]) ).
tff(c_3310,plain,
! [R_274,S_275,T_276,P_277] : is_a_theorem(implies(implies(R_274,S_275),implies(T_276,implies(implies(S_275,P_277),implies(R_274,P_277))))),
inference(resolution,[status(thm)],[c_4,c_1103]) ).
tff(c_3580,plain,
! [T_299,S_300,P_301,R_302] :
( is_a_theorem(implies(T_299,implies(implies(S_300,P_301),implies(R_302,P_301))))
| ~ is_a_theorem(implies(R_302,S_300)) ),
inference(resolution,[status(thm)],[c_3310,c_2]) ).
tff(c_3635,plain,
! [S_300,P_301,R_302,T_299] :
( is_a_theorem(implies(implies(S_300,P_301),implies(R_302,P_301)))
| ~ is_a_theorem(T_299)
| ~ is_a_theorem(implies(R_302,S_300)) ),
inference(resolution,[status(thm)],[c_3580,c_2]) ).
tff(c_8055,plain,
! [T_299] : ~ is_a_theorem(T_299),
inference(splitLeft,[status(thm)],[c_3635]) ).
tff(c_1034,plain,
! [P_141,Q_142,R_143] : is_a_theorem(implies(implies(implies(P_141,Q_142),P_141),implies(R_143,P_141))),
inference(splitRight,[status(thm)],[c_970]) ).
tff(c_1354,plain,
! [R_162,P_163,Q_164] :
( is_a_theorem(implies(R_162,P_163))
| ~ is_a_theorem(implies(implies(P_163,Q_164),P_163)) ),
inference(resolution,[status(thm)],[c_1070,c_2]) ).
tff(c_1440,plain,
! [R_165,R_166] : is_a_theorem(implies(R_165,implies(R_166,R_166))),
inference(resolution,[status(thm)],[c_1034,c_1354]) ).
tff(c_396,plain,
! [R_48,P_81,R_80] :
( is_a_theorem(implies(R_48,implies(P_81,R_80)))
| ~ is_a_theorem(implies(implies(R_80,P_81),R_80)) ),
inference(resolution,[status(thm)],[c_379,c_114]) ).
tff(c_1554,plain,
! [R_168,P_169,R_170] : is_a_theorem(implies(R_168,implies(P_169,implies(R_170,R_170)))),
inference(resolution,[status(thm)],[c_1440,c_396]) ).
tff(c_2599,plain,
! [T_244,R_245,P_246,P_247] : is_a_theorem(implies(T_244,implies(implies(implies(R_245,R_245),P_246),implies(P_247,P_246)))),
inference(resolution,[status(thm)],[c_1554,c_12]) ).
tff(c_2652,plain,
! [R_245,P_246,P_247,T_244] :
( is_a_theorem(implies(implies(implies(R_245,R_245),P_246),implies(P_247,P_246)))
| ~ is_a_theorem(T_244) ),
inference(resolution,[status(thm)],[c_2599,c_2]) ).
tff(c_2710,plain,
! [T_244] : ~ is_a_theorem(T_244),
inference(splitLeft,[status(thm)],[c_2652]) ).
tff(c_1220,plain,
! [R_4,S_5,T_7,P_3] : is_a_theorem(implies(implies(R_4,S_5),implies(T_7,implies(implies(S_5,P_3),implies(R_4,P_3))))),
inference(resolution,[status(thm)],[c_4,c_1103]) ).
tff(c_2798,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_2710,c_1220]) ).
tff(c_2799,plain,
! [R_245,P_246,P_247] : is_a_theorem(implies(implies(implies(R_245,R_245),P_246),implies(P_247,P_246))),
inference(splitRight,[status(thm)],[c_2652]) ).
tff(c_5955,plain,
! [P_402,Q_403,R_404] : is_a_theorem(implies(implies(P_402,implies(P_402,Q_403)),implies(R_404,implies(P_402,Q_403)))),
inference(splitRight,[status(thm)],[c_5449]) ).
tff(c_6012,plain,
! [R_405,P_406,Q_407] :
( is_a_theorem(implies(R_405,implies(P_406,Q_407)))
| ~ is_a_theorem(implies(P_406,implies(P_406,Q_407))) ),
inference(resolution,[status(thm)],[c_5955,c_2]) ).
tff(c_7862,plain,
! [R_434,R_435,P_436] : is_a_theorem(implies(R_434,implies(implies(implies(R_435,R_435),P_436),P_436))),
inference(resolution,[status(thm)],[c_2799,c_6012]) ).
tff(c_6277,plain,
! [R_408,P_409,Q_410] : is_a_theorem(implies(R_408,implies(implies(implies(P_409,Q_410),P_409),P_409))),
inference(resolution,[status(thm)],[c_1034,c_6012]) ).
tff(c_6364,plain,
! [P_409,Q_410,R_408] :
( is_a_theorem(implies(implies(implies(P_409,Q_410),P_409),P_409))
| ~ is_a_theorem(R_408) ),
inference(resolution,[status(thm)],[c_6277,c_2]) ).
tff(c_6763,plain,
! [R_408] : ~ is_a_theorem(R_408),
inference(splitLeft,[status(thm)],[c_6364]) ).
tff(c_6247,plain,
! [R_405,P_141,Q_142] : is_a_theorem(implies(R_405,implies(implies(implies(P_141,Q_142),P_141),P_141))),
inference(resolution,[status(thm)],[c_1034,c_6012]) ).
tff(c_6848,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_6763,c_6247]) ).
tff(c_6933,plain,
! [P_421,Q_422] : is_a_theorem(implies(implies(implies(P_421,Q_422),P_421),P_421)),
inference(splitRight,[status(thm)],[c_6364]) ).
tff(c_6979,plain,
! [P_421,Q_422] :
( is_a_theorem(P_421)
| ~ is_a_theorem(implies(implies(P_421,Q_422),P_421)) ),
inference(resolution,[status(thm)],[c_6933,c_2]) ).
tff(c_7930,plain,
! [R_435,P_436] : is_a_theorem(implies(implies(implies(R_435,R_435),P_436),P_436)),
inference(resolution,[status(thm)],[c_7862,c_6979]) ).
tff(c_8146,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_8055,c_7930]) ).
tff(c_8499,plain,
! [S_441,P_442,R_443] :
( is_a_theorem(implies(implies(S_441,P_442),implies(R_443,P_442)))
| ~ is_a_theorem(implies(R_443,S_441)) ),
inference(splitRight,[status(thm)],[c_3635]) ).
tff(c_8596,plain,
! [R_444,P_445] :
( is_a_theorem(implies(R_444,P_445))
| ~ is_a_theorem(implies(R_444,implies(R_444,P_445))) ),
inference(resolution,[status(thm)],[c_8499,c_6979]) ).
tff(c_8847,plain,
! [P_377,Q_378] : is_a_theorem(implies(implies(P_377,implies(P_377,Q_378)),implies(P_377,Q_378))),
inference(resolution,[status(thm)],[c_5954,c_8596]) ).
tff(c_4687,plain,
! [R_350,P_353,P_352,T_354,T_351] : is_a_theorem(implies(T_351,implies(implies(implies(implies(T_354,P_352),implies(R_350,P_352)),P_353),implies(T_354,P_353)))),
inference(resolution,[status(thm)],[c_55,c_12]) ).
tff(c_4761,plain,
! [R_350,P_353,P_352,T_354,T_351] :
( is_a_theorem(implies(implies(implies(implies(T_354,P_352),implies(R_350,P_352)),P_353),implies(T_354,P_353)))
| ~ is_a_theorem(T_351) ),
inference(resolution,[status(thm)],[c_4687,c_2]) ).
tff(c_9183,plain,
! [T_351] : ~ is_a_theorem(T_351),
inference(splitLeft,[status(thm)],[c_4761]) ).
tff(c_9279,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_9183,c_8847]) ).
tff(c_20087,plain,
! [T_667,P_668,R_669,P_670] : is_a_theorem(implies(implies(implies(implies(T_667,P_668),implies(R_669,P_668)),P_670),implies(T_667,P_670))),
inference(splitRight,[status(thm)],[c_4761]) ).
tff(c_6365,plain,
! [R_411,T_412,P_413] :
( is_a_theorem(implies(R_411,implies(implies(T_412,P_413),P_413)))
| ~ is_a_theorem(T_412) ),
inference(resolution,[status(thm)],[c_102,c_6012]) ).
tff(c_6446,plain,
! [T_412,P_413,R_411] :
( is_a_theorem(implies(implies(T_412,P_413),P_413))
| ~ is_a_theorem(R_411)
| ~ is_a_theorem(T_412) ),
inference(resolution,[status(thm)],[c_6365,c_2]) ).
tff(c_6676,plain,
! [R_411] : ~ is_a_theorem(R_411),
inference(splitLeft,[status(thm)],[c_6446]) ).
tff(c_6761,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_6676,c_6247]) ).
tff(c_6850,plain,
! [T_419,P_420] :
( is_a_theorem(implies(implies(T_419,P_420),P_420))
| ~ is_a_theorem(T_419) ),
inference(splitRight,[status(thm)],[c_6446]) ).
tff(c_6932,plain,
! [P_420,T_419] :
( is_a_theorem(P_420)
| ~ is_a_theorem(implies(T_419,P_420))
| ~ is_a_theorem(T_419) ),
inference(resolution,[status(thm)],[c_6850,c_2]) ).
tff(c_82004,plain,
! [T_1385,P_1386,P_1387,R_1388] :
( is_a_theorem(implies(T_1385,P_1386))
| ~ is_a_theorem(implies(implies(implies(T_1385,P_1387),implies(R_1388,P_1387)),P_1386)) ),
inference(resolution,[status(thm)],[c_20087,c_6932]) ).
tff(c_83005,plain,
! [T_1385,Q_378] : is_a_theorem(implies(T_1385,implies(implies(T_1385,Q_378),Q_378))),
inference(resolution,[status(thm)],[c_8847,c_82004]) ).
tff(c_6,plain,
~ is_a_theorem(implies(a,implies(implies(a,b),b))),
inference(cnfTransformation,[status(thm)],[f_37]) ).
tff(c_83547,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_83005,c_6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : LCL094-1 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.15 % 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 13:45:52 EDT 2023
% 0.15/0.36 % CPUTime :
% 19.87/10.25 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 19.87/10.26
% 19.87/10.26 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 20.05/10.31
% 20.05/10.31 Inference rules
% 20.05/10.31 ----------------------
% 20.05/10.31 #Ref : 0
% 20.05/10.31 #Sup : 17956
% 20.05/10.31 #Fact : 0
% 20.05/10.31 #Define : 0
% 20.05/10.31 #Split : 21
% 20.05/10.31 #Chain : 0
% 20.05/10.31 #Close : 0
% 20.05/10.31
% 20.05/10.31 Ordering : KBO
% 20.05/10.31
% 20.05/10.31 Simplification rules
% 20.05/10.31 ----------------------
% 20.05/10.31 #Subsume : 3858
% 20.05/10.31 #Demod : 6778
% 20.05/10.31 #Tautology : 6928
% 20.05/10.31 #SimpNegUnit : 1032
% 20.05/10.31 #BackRed : 610
% 20.05/10.31
% 20.05/10.31 #Partial instantiations: 0
% 20.05/10.31 #Strategies tried : 1
% 20.05/10.31
% 20.05/10.31 Timing (in seconds)
% 20.05/10.31 ----------------------
% 20.05/10.32 Preprocessing : 0.38
% 20.05/10.32 Parsing : 0.21
% 20.05/10.32 CNF conversion : 0.02
% 20.05/10.32 Main loop : 8.84
% 20.05/10.32 Inferencing : 1.26
% 20.05/10.32 Reduction : 3.56
% 20.05/10.32 Demodulation : 3.15
% 20.05/10.32 BG Simplification : 0.08
% 20.05/10.32 Subsumption : 3.48
% 20.05/10.32 Abstraction : 0.13
% 20.05/10.32 MUC search : 0.00
% 20.05/10.32 Cooper : 0.00
% 20.05/10.32 Total : 9.30
% 20.05/10.32 Index Insertion : 0.00
% 20.05/10.32 Index Deletion : 0.00
% 20.05/10.32 Index Matching : 0.00
% 20.05/10.32 BG Taut test : 0.00
%------------------------------------------------------------------------------