TSTP Solution File: LCL071-1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : LCL071-1 : 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 : 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 10:47:17 EDT 2023
% Result : Unsatisfiable 19.52s 9.95s
% Output : CNFRefutation 19.82s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 9
% Syntax : Number of formulae : 183 ( 94 unt; 4 typ; 0 def)
% Number of atoms : 312 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 286 ( 153 ~; 133 |; 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 : 4 ( 3 >; 1 *; 0 +; 0 <<)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 3 ( 3 usr; 1 con; 0-2 aty)
% Number of variables : 417 (; 417 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ is_a_theorem > implies > #nlpp > not > a
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(a,type,
a: $i ).
tff(is_a_theorem,type,
is_a_theorem: $i > $o ).
tff(not,type,
not: $i > $i ).
tff(implies,type,
implies: ( $i * $i ) > $i ).
tff(f_40,axiom,
! [X,Y,Z] : is_a_theorem(implies(implies(implies(X,Y),Z),implies(not(X),Z))),
file(unknown,unknown) ).
tff(f_36,axiom,
! [X,Y] :
( ~ is_a_theorem(implies(X,Y))
| ~ is_a_theorem(X)
| is_a_theorem(Y) ),
file(unknown,unknown) ).
tff(f_38,axiom,
! [X,Y,Z] : is_a_theorem(implies(implies(implies(X,Y),Z),implies(Y,Z))),
file(unknown,unknown) ).
tff(f_42,axiom,
! [X,Y,Z,U] : is_a_theorem(implies(implies(X,implies(not(Y),Z)),implies(X,implies(implies(U,Z),implies(implies(Y,U),Z))))),
file(unknown,unknown) ).
tff(f_44,axiom,
~ is_a_theorem(implies(implies(not(a),a),a)),
file(unknown,unknown) ).
tff(c_6,plain,
! [X_6,Y_7,Z_8] : is_a_theorem(implies(implies(implies(X_6,Y_7),Z_8),implies(not(X_6),Z_8))),
inference(cnfTransformation,[status(thm)],[f_40]) ).
tff(c_32,plain,
! [X_23,Y_24,Z_25] : is_a_theorem(implies(implies(implies(X_23,Y_24),Z_25),implies(not(X_23),Z_25))),
inference(cnfTransformation,[status(thm)],[f_40]) ).
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_36]) ).
tff(c_105,plain,
! [X_46,Z_47,Y_48] :
( is_a_theorem(implies(not(X_46),Z_47))
| ~ is_a_theorem(implies(implies(X_46,Y_48),Z_47)) ),
inference(resolution,[status(thm)],[c_32,c_2]) ).
tff(c_145,plain,
! [X_6,Y_7,Z_8] : is_a_theorem(implies(not(implies(X_6,Y_7)),implies(not(X_6),Z_8))),
inference(resolution,[status(thm)],[c_6,c_105]) ).
tff(c_4,plain,
! [X_3,Y_4,Z_5] : is_a_theorem(implies(implies(implies(X_3,Y_4),Z_5),implies(Y_4,Z_5))),
inference(cnfTransformation,[status(thm)],[f_38]) ).
tff(c_12,plain,
! [X_15,Y_16,Z_17] : is_a_theorem(implies(implies(implies(X_15,Y_16),Z_17),implies(Y_16,Z_17))),
inference(cnfTransformation,[status(thm)],[f_38]) ).
tff(c_17,plain,
! [Y_18,Z_19,X_20] :
( is_a_theorem(implies(Y_18,Z_19))
| ~ is_a_theorem(implies(implies(X_20,Y_18),Z_19)) ),
inference(resolution,[status(thm)],[c_12,c_2]) ).
tff(c_21,plain,
! [Z_5,Y_4] : is_a_theorem(implies(Z_5,implies(Y_4,Z_5))),
inference(resolution,[status(thm)],[c_4,c_17]) ).
tff(c_22,plain,
! [Z_21,Y_22] : is_a_theorem(implies(Z_21,implies(Y_22,Z_21))),
inference(resolution,[status(thm)],[c_4,c_17]) ).
tff(c_31,plain,
! [Y_22,Z_21] :
( is_a_theorem(implies(Y_22,Z_21))
| ~ is_a_theorem(Z_21) ),
inference(resolution,[status(thm)],[c_22,c_2]) ).
tff(c_66,plain,
! [X_31,Y_32,Z_33,U_34] : is_a_theorem(implies(implies(X_31,implies(not(Y_32),Z_33)),implies(X_31,implies(implies(U_34,Z_33),implies(implies(Y_32,U_34),Z_33))))),
inference(cnfTransformation,[status(thm)],[f_42]) ).
tff(c_153,plain,
! [X_52,U_53,Z_54,Y_55] :
( is_a_theorem(implies(X_52,implies(implies(U_53,Z_54),implies(implies(Y_55,U_53),Z_54))))
| ~ is_a_theorem(implies(X_52,implies(not(Y_55),Z_54))) ),
inference(resolution,[status(thm)],[c_66,c_2]) ).
tff(c_446,plain,
! [U_145,Z_146,Y_147,X_148] :
( is_a_theorem(implies(implies(U_145,Z_146),implies(implies(Y_147,U_145),Z_146)))
| ~ is_a_theorem(X_148)
| ~ is_a_theorem(implies(X_148,implies(not(Y_147),Z_146))) ),
inference(resolution,[status(thm)],[c_153,c_2]) ).
tff(c_549,plain,
! [U_145,Z_146,Y_147,Y_22] :
( is_a_theorem(implies(implies(U_145,Z_146),implies(implies(Y_147,U_145),Z_146)))
| ~ is_a_theorem(Y_22)
| ~ is_a_theorem(implies(not(Y_147),Z_146)) ),
inference(resolution,[status(thm)],[c_31,c_446]) ).
tff(c_32707,plain,
! [Y_22] : ~ is_a_theorem(Y_22),
inference(splitLeft,[status(thm)],[c_549]) ).
tff(c_8,plain,
! [X_9,Y_10,Z_11,U_12] : is_a_theorem(implies(implies(X_9,implies(not(Y_10),Z_11)),implies(X_9,implies(implies(U_12,Z_11),implies(implies(Y_10,U_12),Z_11))))),
inference(cnfTransformation,[status(thm)],[f_42]) ).
tff(c_16,plain,
! [Y_16,Z_17,X_15] :
( is_a_theorem(implies(Y_16,Z_17))
| ~ is_a_theorem(implies(implies(X_15,Y_16),Z_17)) ),
inference(resolution,[status(thm)],[c_12,c_2]) ).
tff(c_681,plain,
! [Y_163,Y_161,U_160,Z_162,X_164] :
( is_a_theorem(implies(Y_161,implies(implies(U_160,Z_162),implies(implies(Y_163,U_160),Z_162))))
| ~ is_a_theorem(implies(implies(X_164,Y_161),implies(not(Y_163),Z_162))) ),
inference(resolution,[status(thm)],[c_153,c_16]) ).
tff(c_757,plain,
! [Y_163,Z_11,Y_10,U_160,U_12] : is_a_theorem(implies(implies(not(Y_10),Z_11),implies(implies(U_160,implies(implies(U_12,Z_11),implies(implies(Y_10,U_12),Z_11))),implies(implies(Y_163,U_160),implies(implies(U_12,Z_11),implies(implies(Y_10,U_12),Z_11)))))),
inference(resolution,[status(thm)],[c_8,c_681]) ).
tff(c_32815,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_32707,c_757]) ).
tff(c_33064,plain,
! [U_2571,Z_2572,Y_2573] :
( is_a_theorem(implies(implies(U_2571,Z_2572),implies(implies(Y_2573,U_2571),Z_2572)))
| ~ is_a_theorem(implies(not(Y_2573),Z_2572)) ),
inference(splitRight,[status(thm)],[c_549]) ).
tff(c_361,plain,
! [Y_130,Z_131,X_132,U_133] : is_a_theorem(implies(implies(not(Y_130),Z_131),implies(X_132,implies(implies(U_133,Z_131),implies(implies(Y_130,U_133),Z_131))))),
inference(resolution,[status(thm)],[c_66,c_16]) ).
tff(c_41,plain,
! [X_23,Z_25,Y_24] :
( is_a_theorem(implies(not(X_23),Z_25))
| ~ is_a_theorem(implies(implies(X_23,Y_24),Z_25)) ),
inference(resolution,[status(thm)],[c_32,c_2]) ).
tff(c_375,plain,
! [Y_134,X_135,U_136,Z_137] : is_a_theorem(implies(not(not(Y_134)),implies(X_135,implies(implies(U_136,Z_137),implies(implies(Y_134,U_136),Z_137))))),
inference(resolution,[status(thm)],[c_361,c_41]) ).
tff(c_380,plain,
! [X_138,U_139,Z_140,Y_141] :
( is_a_theorem(implies(X_138,implies(implies(U_139,Z_140),implies(implies(Y_141,U_139),Z_140))))
| ~ is_a_theorem(not(not(Y_141))) ),
inference(resolution,[status(thm)],[c_375,c_2]) ).
tff(c_394,plain,
! [U_139,Z_140,Y_141,X_138] :
( is_a_theorem(implies(implies(U_139,Z_140),implies(implies(Y_141,U_139),Z_140)))
| ~ is_a_theorem(X_138)
| ~ is_a_theorem(not(not(Y_141))) ),
inference(resolution,[status(thm)],[c_380,c_2]) ).
tff(c_395,plain,
! [X_138] : ~ is_a_theorem(X_138),
inference(splitLeft,[status(thm)],[c_394]) ).
tff(c_371,plain,
! [Y_130,X_132,U_133,Z_131] : is_a_theorem(implies(not(not(Y_130)),implies(X_132,implies(implies(U_133,Z_131),implies(implies(Y_130,U_133),Z_131))))),
inference(resolution,[status(thm)],[c_361,c_41]) ).
tff(c_430,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_395,c_371]) ).
tff(c_432,plain,
! [U_142,Z_143,Y_144] :
( is_a_theorem(implies(implies(U_142,Z_143),implies(implies(Y_144,U_142),Z_143)))
| ~ is_a_theorem(not(not(Y_144))) ),
inference(splitRight,[status(thm)],[c_394]) ).
tff(c_861,plain,
! [Y_193,U_194,Z_195] :
( is_a_theorem(implies(implies(Y_193,U_194),Z_195))
| ~ is_a_theorem(implies(U_194,Z_195))
| ~ is_a_theorem(not(not(Y_193))) ),
inference(resolution,[status(thm)],[c_432,c_2]) ).
tff(c_894,plain,
! [Z_199,Y_200,U_201] :
( is_a_theorem(Z_199)
| ~ is_a_theorem(implies(Y_200,U_201))
| ~ is_a_theorem(implies(U_201,Z_199))
| ~ is_a_theorem(not(not(Y_200))) ),
inference(resolution,[status(thm)],[c_861,c_2]) ).
tff(c_990,plain,
! [Z_199,Z_21,Y_22] :
( is_a_theorem(Z_199)
| ~ is_a_theorem(implies(Z_21,Z_199))
| ~ is_a_theorem(not(not(Y_22)))
| ~ is_a_theorem(Z_21) ),
inference(resolution,[status(thm)],[c_31,c_894]) ).
tff(c_994,plain,
! [Y_22] : ~ is_a_theorem(not(not(Y_22))),
inference(splitLeft,[status(thm)],[c_990]) ).
tff(c_2830,plain,
! [Y_22] : ~ is_a_theorem(Y_22),
inference(splitLeft,[status(thm)],[c_549]) ).
tff(c_1285,plain,
! [U_269,Z_270,Y_271,X_272] :
( is_a_theorem(implies(implies(U_269,Z_270),implies(implies(Y_271,U_269),Z_270)))
| ~ is_a_theorem(implies(implies(X_272,not(Y_271)),Z_270)) ),
inference(resolution,[status(thm)],[c_4,c_446]) ).
tff(c_1851,plain,
! [U_382,Y_383,Y_384] : is_a_theorem(implies(implies(U_382,implies(Y_383,not(Y_384))),implies(implies(Y_384,U_382),implies(Y_383,not(Y_384))))),
inference(resolution,[status(thm)],[c_4,c_1285]) ).
tff(c_1877,plain,
! [U_382,Y_384,Y_383] : is_a_theorem(implies(not(U_382),implies(implies(Y_384,U_382),implies(Y_383,not(Y_384))))),
inference(resolution,[status(thm)],[c_1851,c_41]) ).
tff(c_2915,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_2830,c_1877]) ).
tff(c_2917,plain,
! [U_496,Z_497,Y_498] :
( is_a_theorem(implies(implies(U_496,Z_497),implies(implies(Y_498,U_496),Z_497)))
| ~ is_a_theorem(implies(not(Y_498),Z_497)) ),
inference(splitRight,[status(thm)],[c_549]) ).
tff(c_4863,plain,
! [Y_577,U_578,Z_579] :
( is_a_theorem(implies(implies(Y_577,U_578),Z_579))
| ~ is_a_theorem(implies(U_578,Z_579))
| ~ is_a_theorem(implies(not(Y_577),Z_579)) ),
inference(resolution,[status(thm)],[c_2917,c_2]) ).
tff(c_4919,plain,
! [Z_580,Y_581,U_582] :
( is_a_theorem(Z_580)
| ~ is_a_theorem(implies(Y_581,U_582))
| ~ is_a_theorem(implies(U_582,Z_580))
| ~ is_a_theorem(implies(not(Y_581),Z_580)) ),
inference(resolution,[status(thm)],[c_4863,c_2]) ).
tff(c_5233,plain,
! [Z_586,Y_587,Z_588] :
( is_a_theorem(Z_586)
| ~ is_a_theorem(implies(implies(Y_587,Z_588),Z_586))
| ~ is_a_theorem(implies(not(Z_588),Z_586)) ),
inference(resolution,[status(thm)],[c_21,c_4919]) ).
tff(c_5401,plain,
! [Y_589,Z_590] :
( is_a_theorem(implies(Y_589,Z_590))
| ~ is_a_theorem(implies(not(Z_590),implies(Y_589,Z_590))) ),
inference(resolution,[status(thm)],[c_4,c_5233]) ).
tff(c_5487,plain,
! [X_6,Y_7] : is_a_theorem(implies(not(X_6),implies(X_6,Y_7))),
inference(resolution,[status(thm)],[c_145,c_5401]) ).
tff(c_7139,plain,
! [Y_637,Y_638] : is_a_theorem(implies(implies(Y_637,implies(Y_638,not(Y_637))),implies(Y_638,not(Y_637)))),
inference(resolution,[status(thm)],[c_1877,c_5401]) ).
tff(c_7251,plain,
! [Y_641,Y_642] :
( is_a_theorem(implies(Y_641,not(Y_642)))
| ~ is_a_theorem(implies(Y_642,implies(Y_641,not(Y_642)))) ),
inference(resolution,[status(thm)],[c_7139,c_2]) ).
tff(c_7317,plain,
! [X_643] : is_a_theorem(implies(X_643,not(not(X_643)))),
inference(resolution,[status(thm)],[c_5487,c_7251]) ).
tff(c_7363,plain,
! [X_643] :
( is_a_theorem(not(not(X_643)))
| ~ is_a_theorem(X_643) ),
inference(resolution,[status(thm)],[c_7317,c_2]) ).
tff(c_7388,plain,
! [X_643] : ~ is_a_theorem(X_643),
inference(negUnitSimplification,[status(thm)],[c_994,c_7363]) ).
tff(c_7305,plain,
! [X_6] : is_a_theorem(implies(X_6,not(not(X_6)))),
inference(resolution,[status(thm)],[c_5487,c_7251]) ).
tff(c_7473,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_7388,c_7305]) ).
tff(c_7474,plain,
! [Z_199,Z_21] :
( is_a_theorem(Z_199)
| ~ is_a_theorem(implies(Z_21,Z_199))
| ~ is_a_theorem(Z_21) ),
inference(splitRight,[status(thm)],[c_990]) ).
tff(c_71002,plain,
! [Y_3745,U_3746,Z_3747] :
( is_a_theorem(implies(implies(Y_3745,U_3746),Z_3747))
| ~ is_a_theorem(implies(U_3746,Z_3747))
| ~ is_a_theorem(implies(not(Y_3745),Z_3747)) ),
inference(resolution,[status(thm)],[c_33064,c_7474]) ).
tff(c_71569,plain,
! [Z_3768,Y_3769,U_3770] :
( is_a_theorem(Z_3768)
| ~ is_a_theorem(implies(Y_3769,U_3770))
| ~ is_a_theorem(implies(U_3770,Z_3768))
| ~ is_a_theorem(implies(not(Y_3769),Z_3768)) ),
inference(resolution,[status(thm)],[c_71002,c_7474]) ).
tff(c_72072,plain,
! [Z_3777,Y_3778,Z_3779] :
( is_a_theorem(Z_3777)
| ~ is_a_theorem(implies(implies(Y_3778,Z_3779),Z_3777))
| ~ is_a_theorem(implies(not(Z_3779),Z_3777)) ),
inference(resolution,[status(thm)],[c_21,c_71569]) ).
tff(c_72325,plain,
! [Y_3780,Z_3781] :
( is_a_theorem(implies(Y_3780,Z_3781))
| ~ is_a_theorem(implies(not(Z_3781),implies(Y_3780,Z_3781))) ),
inference(resolution,[status(thm)],[c_4,c_72072]) ).
tff(c_72501,plain,
! [X_3782,Y_3783] : is_a_theorem(implies(not(X_3782),implies(X_3782,Y_3783))),
inference(resolution,[status(thm)],[c_145,c_72325]) ).
tff(c_72324,plain,
! [Y_4,Z_5] :
( is_a_theorem(implies(Y_4,Z_5))
| ~ is_a_theorem(implies(not(Z_5),implies(Y_4,Z_5))) ),
inference(resolution,[status(thm)],[c_4,c_72072]) ).
tff(c_72538,plain,
! [Y_3783] : is_a_theorem(implies(Y_3783,Y_3783)),
inference(resolution,[status(thm)],[c_72501,c_72324]) ).
tff(c_18024,plain,
! [U_1490,Z_1491,X_1492,Y_1493] :
( is_a_theorem(implies(implies(U_1490,Z_1491),implies(implies(X_1492,U_1490),Z_1491)))
| ~ is_a_theorem(implies(implies(X_1492,Y_1493),Z_1491)) ),
inference(resolution,[status(thm)],[c_6,c_446]) ).
tff(c_18120,plain,
! [U_1490,Y_4,X_1492,Y_1493] : is_a_theorem(implies(implies(U_1490,implies(Y_4,implies(X_1492,Y_1493))),implies(implies(X_1492,U_1490),implies(Y_4,implies(X_1492,Y_1493))))),
inference(resolution,[status(thm)],[c_21,c_18024]) ).
tff(c_147,plain,
! [X_3,Y_4,Z_5] : is_a_theorem(implies(not(implies(X_3,Y_4)),implies(Y_4,Z_5))),
inference(resolution,[status(thm)],[c_4,c_105]) ).
tff(c_775,plain,
! [Z_182,U_181,X_185,Y_183,Y_184] :
( is_a_theorem(implies(not(X_185),implies(implies(U_181,Z_182),implies(implies(Y_183,U_181),Z_182))))
| ~ is_a_theorem(implies(implies(X_185,Y_184),implies(not(Y_183),Z_182))) ),
inference(resolution,[status(thm)],[c_153,c_41]) ).
tff(c_857,plain,
! [X_3,Y_183,U_181,Z_5] : is_a_theorem(implies(not(implies(X_3,not(Y_183))),implies(implies(U_181,Z_5),implies(implies(Y_183,U_181),Z_5)))),
inference(resolution,[status(thm)],[c_4,c_775]) ).
tff(c_35041,plain,
! [Y_2715,U_2716,Z_2717] :
( is_a_theorem(implies(implies(Y_2715,U_2716),Z_2717))
| ~ is_a_theorem(implies(U_2716,Z_2717))
| ~ is_a_theorem(implies(not(Y_2715),Z_2717)) ),
inference(resolution,[status(thm)],[c_33064,c_7474]) ).
tff(c_35143,plain,
! [Z_2718,Y_2719,U_2720] :
( is_a_theorem(Z_2718)
| ~ is_a_theorem(implies(Y_2719,U_2720))
| ~ is_a_theorem(implies(U_2720,Z_2718))
| ~ is_a_theorem(implies(not(Y_2719),Z_2718)) ),
inference(resolution,[status(thm)],[c_35041,c_7474]) ).
tff(c_35360,plain,
! [Z_2721,Y_2722,Z_2723] :
( is_a_theorem(Z_2721)
| ~ is_a_theorem(implies(implies(Y_2722,Z_2723),Z_2721))
| ~ is_a_theorem(implies(not(Z_2723),Z_2721)) ),
inference(resolution,[status(thm)],[c_21,c_35143]) ).
tff(c_35684,plain,
! [Y_2729,Z_2730] :
( is_a_theorem(implies(Y_2729,Z_2730))
| ~ is_a_theorem(implies(not(Z_2730),implies(Y_2729,Z_2730))) ),
inference(resolution,[status(thm)],[c_4,c_35360]) ).
tff(c_44973,plain,
! [U_2991,Y_2992] : is_a_theorem(implies(implies(U_2991,not(Y_2992)),implies(implies(Y_2992,U_2991),not(Y_2992)))),
inference(resolution,[status(thm)],[c_857,c_35684]) ).
tff(c_45058,plain,
! [U_2991,Y_2992] : is_a_theorem(implies(not(U_2991),implies(implies(Y_2992,U_2991),not(Y_2992)))),
inference(resolution,[status(thm)],[c_44973,c_41]) ).
tff(c_23427,plain,
! [U_1931,Z_1932,Y_1933,X_1934] :
( is_a_theorem(implies(implies(U_1931,Z_1932),implies(implies(Y_1933,U_1931),Z_1932)))
| ~ is_a_theorem(implies(implies(X_1934,not(Y_1933)),Z_1932)) ),
inference(resolution,[status(thm)],[c_4,c_446]) ).
tff(c_23796,plain,
! [U_1973,Y_1974,Y_1975] : is_a_theorem(implies(implies(U_1973,implies(Y_1974,not(Y_1975))),implies(implies(Y_1975,U_1973),implies(Y_1974,not(Y_1975))))),
inference(resolution,[status(thm)],[c_4,c_23427]) ).
tff(c_23845,plain,
! [U_1973,Y_1975,Y_1974] : is_a_theorem(implies(not(U_1973),implies(implies(Y_1975,U_1973),implies(Y_1974,not(Y_1975))))),
inference(resolution,[status(thm)],[c_23796,c_41]) ).
tff(c_46179,plain,
! [Y_3036,Y_3037] : is_a_theorem(implies(implies(Y_3036,implies(Y_3037,not(Y_3036))),implies(Y_3037,not(Y_3036)))),
inference(resolution,[status(thm)],[c_23845,c_35684]) ).
tff(c_46647,plain,
! [Y_3048,Y_3049] :
( is_a_theorem(implies(Y_3048,not(Y_3049)))
| ~ is_a_theorem(implies(Y_3049,implies(Y_3048,not(Y_3049)))) ),
inference(resolution,[status(thm)],[c_46179,c_7474]) ).
tff(c_47438,plain,
! [U_3065] : is_a_theorem(implies(implies(not(U_3065),U_3065),not(not(U_3065)))),
inference(resolution,[status(thm)],[c_45058,c_46647]) ).
tff(c_47653,plain,
! [U_3071] :
( is_a_theorem(not(not(U_3071)))
| ~ is_a_theorem(implies(not(U_3071),U_3071)) ),
inference(resolution,[status(thm)],[c_47438,c_7474]) ).
tff(c_48065,plain,
! [Z_3076] : is_a_theorem(not(not(implies(Z_3076,Z_3076)))),
inference(resolution,[status(thm)],[c_147,c_47653]) ).
tff(c_24776,plain,
! [Z_2093,X_2094,Z_2095,Y_2096] :
( is_a_theorem(Z_2093)
| ~ is_a_theorem(implies(implies(not(X_2094),Z_2095),Z_2093))
| ~ is_a_theorem(not(not(implies(implies(X_2094,Y_2096),Z_2095)))) ),
inference(resolution,[status(thm)],[c_6,c_894]) ).
tff(c_24910,plain,
! [Y_4,X_2094,Z_2095,Y_2096] :
( is_a_theorem(implies(Y_4,implies(not(X_2094),Z_2095)))
| ~ is_a_theorem(not(not(implies(implies(X_2094,Y_2096),Z_2095)))) ),
inference(resolution,[status(thm)],[c_21,c_24776]) ).
tff(c_49239,plain,
! [Y_3099,X_3100,Y_3101] : is_a_theorem(implies(Y_3099,implies(not(X_3100),implies(X_3100,Y_3101)))),
inference(resolution,[status(thm)],[c_48065,c_24910]) ).
tff(c_47530,plain,
! [U_3065] :
( is_a_theorem(not(not(U_3065)))
| ~ is_a_theorem(implies(not(U_3065),U_3065)) ),
inference(resolution,[status(thm)],[c_47438,c_7474]) ).
tff(c_49442,plain,
! [X_3102,Y_3103] : is_a_theorem(not(not(implies(not(X_3102),implies(X_3102,Y_3103))))),
inference(resolution,[status(thm)],[c_49239,c_47530]) ).
tff(c_445,plain,
! [Y_144,U_142,Z_143] :
( is_a_theorem(implies(implies(Y_144,U_142),Z_143))
| ~ is_a_theorem(implies(U_142,Z_143))
| ~ is_a_theorem(not(not(Y_144))) ),
inference(resolution,[status(thm)],[c_432,c_2]) ).
tff(c_7608,plain,
! [Z_646,Y_647,Z_648] :
( is_a_theorem(Z_646)
| ~ is_a_theorem(implies(implies(Y_647,Z_648),Z_646))
| ~ is_a_theorem(not(not(Z_648))) ),
inference(resolution,[status(thm)],[c_21,c_894]) ).
tff(c_7698,plain,
! [Z_143,U_142,Y_144] :
( is_a_theorem(Z_143)
| ~ is_a_theorem(not(not(U_142)))
| ~ is_a_theorem(implies(U_142,Z_143))
| ~ is_a_theorem(not(not(Y_144))) ),
inference(resolution,[status(thm)],[c_445,c_7608]) ).
tff(c_12735,plain,
! [Y_144] : ~ is_a_theorem(not(not(Y_144))),
inference(splitLeft,[status(thm)],[c_7698]) ).
tff(c_14354,plain,
! [Y_22] : ~ is_a_theorem(Y_22),
inference(splitLeft,[status(thm)],[c_549]) ).
tff(c_12737,plain,
! [U_1061,Z_1062,X_1063,Y_1064] :
( is_a_theorem(implies(implies(U_1061,Z_1062),implies(implies(X_1063,U_1061),Z_1062)))
| ~ is_a_theorem(implies(implies(X_1063,Y_1064),Z_1062)) ),
inference(resolution,[status(thm)],[c_6,c_446]) ).
tff(c_13834,plain,
! [U_1241,X_1242,Z_1243,Y_1244] : is_a_theorem(implies(implies(U_1241,implies(not(X_1242),Z_1243)),implies(implies(implies(X_1242,Y_1244),U_1241),implies(not(X_1242),Z_1243)))),
inference(resolution,[status(thm)],[c_6,c_12737]) ).
tff(c_13862,plain,
! [U_1241,X_1242,Y_1244,Z_1243] : is_a_theorem(implies(not(U_1241),implies(implies(implies(X_1242,Y_1244),U_1241),implies(not(X_1242),Z_1243)))),
inference(resolution,[status(thm)],[c_13834,c_41]) ).
tff(c_14435,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_14354,c_13862]) ).
tff(c_14449,plain,
! [U_1332,Z_1333,Y_1334] :
( is_a_theorem(implies(implies(U_1332,Z_1333),implies(implies(Y_1334,U_1332),Z_1333)))
| ~ is_a_theorem(implies(not(Y_1334),Z_1333)) ),
inference(splitRight,[status(thm)],[c_549]) ).
tff(c_15141,plain,
! [Y_1400,U_1401,Z_1402] :
( is_a_theorem(implies(implies(Y_1400,U_1401),Z_1402))
| ~ is_a_theorem(implies(U_1401,Z_1402))
| ~ is_a_theorem(implies(not(Y_1400),Z_1402)) ),
inference(resolution,[status(thm)],[c_14449,c_7474]) ).
tff(c_15203,plain,
! [Z_1403,Y_1404,U_1405] :
( is_a_theorem(Z_1403)
| ~ is_a_theorem(implies(Y_1404,U_1405))
| ~ is_a_theorem(implies(U_1405,Z_1403))
| ~ is_a_theorem(implies(not(Y_1404),Z_1403)) ),
inference(resolution,[status(thm)],[c_15141,c_7474]) ).
tff(c_15372,plain,
! [Z_1406,Y_1407,Z_1408] :
( is_a_theorem(Z_1406)
| ~ is_a_theorem(implies(implies(Y_1407,Z_1408),Z_1406))
| ~ is_a_theorem(implies(not(Z_1408),Z_1406)) ),
inference(resolution,[status(thm)],[c_21,c_15203]) ).
tff(c_15550,plain,
! [Y_1409,Z_1410] :
( is_a_theorem(implies(Y_1409,Z_1410))
| ~ is_a_theorem(implies(not(Z_1410),implies(Y_1409,Z_1410))) ),
inference(resolution,[status(thm)],[c_4,c_15372]) ).
tff(c_15656,plain,
! [X_6,Y_7] : is_a_theorem(implies(not(X_6),implies(X_6,Y_7))),
inference(resolution,[status(thm)],[c_145,c_15550]) ).
tff(c_12971,plain,
! [U_1111,Z_1112,Y_1113,X_1114] :
( is_a_theorem(implies(implies(U_1111,Z_1112),implies(implies(Y_1113,U_1111),Z_1112)))
| ~ is_a_theorem(implies(implies(X_1114,not(Y_1113)),Z_1112)) ),
inference(resolution,[status(thm)],[c_4,c_446]) ).
tff(c_13052,plain,
! [U_1115,Y_1116,Y_1117] : is_a_theorem(implies(implies(U_1115,implies(Y_1116,not(Y_1117))),implies(implies(Y_1117,U_1115),implies(Y_1116,not(Y_1117))))),
inference(resolution,[status(thm)],[c_4,c_12971]) ).
tff(c_13073,plain,
! [U_1115,Y_1117,Y_1116] : is_a_theorem(implies(not(U_1115),implies(implies(Y_1117,U_1115),implies(Y_1116,not(Y_1117))))),
inference(resolution,[status(thm)],[c_13052,c_41]) ).
tff(c_17649,plain,
! [Y_1480,Y_1481] : is_a_theorem(implies(implies(Y_1480,implies(Y_1481,not(Y_1480))),implies(Y_1481,not(Y_1480)))),
inference(resolution,[status(thm)],[c_13073,c_15550]) ).
tff(c_17776,plain,
! [Y_1485,Y_1486] :
( is_a_theorem(implies(Y_1485,not(Y_1486)))
| ~ is_a_theorem(implies(Y_1486,implies(Y_1485,not(Y_1486)))) ),
inference(resolution,[status(thm)],[c_17649,c_7474]) ).
tff(c_17847,plain,
! [X_1487] : is_a_theorem(implies(X_1487,not(not(X_1487)))),
inference(resolution,[status(thm)],[c_15656,c_17776]) ).
tff(c_56,plain,
! [Y_28,Y_29,X_30] : is_a_theorem(implies(Y_28,implies(Y_29,implies(X_30,Y_28)))),
inference(resolution,[status(thm)],[c_22,c_16]) ).
tff(c_65,plain,
! [Y_29,X_30,Y_28] :
( is_a_theorem(implies(Y_29,implies(X_30,Y_28)))
| ~ is_a_theorem(Y_28) ),
inference(resolution,[status(thm)],[c_56,c_2]) ).
tff(c_987,plain,
! [Z_199,X_30,Y_28,Y_29] :
( is_a_theorem(Z_199)
| ~ is_a_theorem(implies(implies(X_30,Y_28),Z_199))
| ~ is_a_theorem(not(not(Y_29)))
| ~ is_a_theorem(Y_28) ),
inference(resolution,[status(thm)],[c_65,c_894]) ).
tff(c_7811,plain,
! [Y_29] : ~ is_a_theorem(not(not(Y_29))),
inference(splitLeft,[status(thm)],[c_987]) ).
tff(c_9166,plain,
! [Y_22] : ~ is_a_theorem(Y_22),
inference(splitLeft,[status(thm)],[c_549]) ).
tff(c_9242,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_9166,c_757]) ).
tff(c_9244,plain,
! [U_922,Z_923,Y_924] :
( is_a_theorem(implies(implies(U_922,Z_923),implies(implies(Y_924,U_922),Z_923)))
| ~ is_a_theorem(implies(not(Y_924),Z_923)) ),
inference(splitRight,[status(thm)],[c_549]) ).
tff(c_9896,plain,
! [Y_970,U_971,Z_972] :
( is_a_theorem(implies(implies(Y_970,U_971),Z_972))
| ~ is_a_theorem(implies(U_971,Z_972))
| ~ is_a_theorem(implies(not(Y_970),Z_972)) ),
inference(resolution,[status(thm)],[c_9244,c_7474]) ).
tff(c_9951,plain,
! [Z_973,Y_974,U_975] :
( is_a_theorem(Z_973)
| ~ is_a_theorem(implies(Y_974,U_975))
| ~ is_a_theorem(implies(U_975,Z_973))
| ~ is_a_theorem(implies(not(Y_974),Z_973)) ),
inference(resolution,[status(thm)],[c_9896,c_7474]) ).
tff(c_10106,plain,
! [Z_976,Y_977,Z_978] :
( is_a_theorem(Z_976)
| ~ is_a_theorem(implies(implies(Y_977,Z_978),Z_976))
| ~ is_a_theorem(implies(not(Z_978),Z_976)) ),
inference(resolution,[status(thm)],[c_21,c_9951]) ).
tff(c_10266,plain,
! [Y_979,Z_980] :
( is_a_theorem(implies(Y_979,Z_980))
| ~ is_a_theorem(implies(not(Z_980),implies(Y_979,Z_980))) ),
inference(resolution,[status(thm)],[c_4,c_10106]) ).
tff(c_10357,plain,
! [X_6,Y_7] : is_a_theorem(implies(not(X_6),implies(X_6,Y_7))),
inference(resolution,[status(thm)],[c_145,c_10266]) ).
tff(c_8035,plain,
! [U_707,Z_708,Y_709,X_710] :
( is_a_theorem(implies(implies(U_707,Z_708),implies(implies(Y_709,U_707),Z_708)))
| ~ is_a_theorem(implies(implies(X_710,not(Y_709)),Z_708)) ),
inference(resolution,[status(thm)],[c_4,c_446]) ).
tff(c_8119,plain,
! [U_720,Y_721,Y_722] : is_a_theorem(implies(implies(U_720,implies(Y_721,not(Y_722))),implies(implies(Y_722,U_720),implies(Y_721,not(Y_722))))),
inference(resolution,[status(thm)],[c_4,c_8035]) ).
tff(c_8136,plain,
! [U_720,Y_722,Y_721] : is_a_theorem(implies(not(U_720),implies(implies(Y_722,U_720),implies(Y_721,not(Y_722))))),
inference(resolution,[status(thm)],[c_8119,c_41]) ).
tff(c_11797,plain,
! [Y_1023,Y_1024] : is_a_theorem(implies(implies(Y_1023,implies(Y_1024,not(Y_1023))),implies(Y_1024,not(Y_1023)))),
inference(resolution,[status(thm)],[c_8136,c_10266]) ).
tff(c_12250,plain,
! [Y_1046,Y_1047] :
( is_a_theorem(implies(Y_1046,not(Y_1047)))
| ~ is_a_theorem(implies(Y_1047,implies(Y_1046,not(Y_1047)))) ),
inference(resolution,[status(thm)],[c_11797,c_7474]) ).
tff(c_12316,plain,
! [X_1048] : is_a_theorem(implies(X_1048,not(not(X_1048)))),
inference(resolution,[status(thm)],[c_10357,c_12250]) ).
tff(c_12356,plain,
! [X_1048] :
( is_a_theorem(not(not(X_1048)))
| ~ is_a_theorem(X_1048) ),
inference(resolution,[status(thm)],[c_12316,c_7474]) ).
tff(c_12387,plain,
! [X_1048] : ~ is_a_theorem(X_1048),
inference(negUnitSimplification,[status(thm)],[c_7811,c_12356]) ).
tff(c_12304,plain,
! [X_6] : is_a_theorem(implies(X_6,not(not(X_6)))),
inference(resolution,[status(thm)],[c_10357,c_12250]) ).
tff(c_12478,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_12387,c_12304]) ).
tff(c_12479,plain,
! [Z_199,X_30,Y_28] :
( is_a_theorem(Z_199)
| ~ is_a_theorem(implies(implies(X_30,Y_28),Z_199))
| ~ is_a_theorem(Y_28) ),
inference(splitRight,[status(thm)],[c_987]) ).
tff(c_17888,plain,
! [X_30,Y_28] :
( is_a_theorem(not(not(implies(X_30,Y_28))))
| ~ is_a_theorem(Y_28) ),
inference(resolution,[status(thm)],[c_17847,c_12479]) ).
tff(c_17921,plain,
! [Y_28] : ~ is_a_theorem(Y_28),
inference(negUnitSimplification,[status(thm)],[c_12735,c_17888]) ).
tff(c_17835,plain,
! [X_6] : is_a_theorem(implies(X_6,not(not(X_6)))),
inference(resolution,[status(thm)],[c_15656,c_17776]) ).
tff(c_18021,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_17921,c_17835]) ).
tff(c_18022,plain,
! [Z_143,U_142] :
( is_a_theorem(Z_143)
| ~ is_a_theorem(not(not(U_142)))
| ~ is_a_theorem(implies(U_142,Z_143)) ),
inference(splitRight,[status(thm)],[c_7698]) ).
tff(c_63498,plain,
! [Z_3471,X_3472,Y_3473] :
( is_a_theorem(Z_3471)
| ~ is_a_theorem(implies(implies(not(X_3472),implies(X_3472,Y_3473)),Z_3471)) ),
inference(resolution,[status(thm)],[c_49442,c_18022]) ).
tff(c_68638,plain,
! [X_3590,Y_3591,Y_3592] : is_a_theorem(implies(implies(X_3590,not(Y_3591)),implies(Y_3591,implies(X_3590,Y_3592)))),
inference(resolution,[status(thm)],[c_18120,c_63498]) ).
tff(c_48110,plain,
! [Z_143,Z_3076] :
( is_a_theorem(Z_143)
| ~ is_a_theorem(implies(implies(Z_3076,Z_3076),Z_143)) ),
inference(resolution,[status(thm)],[c_48065,c_18022]) ).
tff(c_68764,plain,
! [Y_3593,Y_3594] : is_a_theorem(implies(Y_3593,implies(not(Y_3593),Y_3594))),
inference(resolution,[status(thm)],[c_68638,c_48110]) ).
tff(c_35595,plain,
! [Y_4,Z_5] :
( is_a_theorem(implies(Y_4,Z_5))
| ~ is_a_theorem(implies(not(Z_5),implies(Y_4,Z_5))) ),
inference(resolution,[status(thm)],[c_4,c_35360]) ).
tff(c_68954,plain,
! [Y_3594] : is_a_theorem(implies(not(not(Y_3594)),Y_3594)),
inference(resolution,[status(thm)],[c_68764,c_35595]) ).
tff(c_169,plain,
! [X_59,Y_60,Y_61] : is_a_theorem(implies(not(X_59),implies(Y_60,implies(X_59,Y_61)))),
inference(resolution,[status(thm)],[c_21,c_105]) ).
tff(c_173,plain,
! [Y_60,X_59,Y_61] :
( is_a_theorem(implies(Y_60,implies(X_59,Y_61)))
| ~ is_a_theorem(not(X_59)) ),
inference(resolution,[status(thm)],[c_169,c_2]) ).
tff(c_981,plain,
! [Z_199,X_59,Y_61,Y_60] :
( is_a_theorem(Z_199)
| ~ is_a_theorem(implies(implies(X_59,Y_61),Z_199))
| ~ is_a_theorem(not(not(Y_60)))
| ~ is_a_theorem(not(X_59)) ),
inference(resolution,[status(thm)],[c_173,c_894]) ).
tff(c_18188,plain,
! [Y_60] : ~ is_a_theorem(not(not(Y_60))),
inference(splitLeft,[status(thm)],[c_981]) ).
tff(c_19796,plain,
! [Y_22] : ~ is_a_theorem(Y_22),
inference(splitLeft,[status(thm)],[c_549]) ).
tff(c_19258,plain,
! [U_1687,X_1688,Z_1689,Y_1690] : is_a_theorem(implies(implies(U_1687,implies(not(X_1688),Z_1689)),implies(implies(implies(X_1688,Y_1690),U_1687),implies(not(X_1688),Z_1689)))),
inference(resolution,[status(thm)],[c_6,c_18024]) ).
tff(c_19286,plain,
! [U_1687,X_1688,Y_1690,Z_1689] : is_a_theorem(implies(not(U_1687),implies(implies(implies(X_1688,Y_1690),U_1687),implies(not(X_1688),Z_1689)))),
inference(resolution,[status(thm)],[c_19258,c_41]) ).
tff(c_19878,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_19796,c_19286]) ).
tff(c_19881,plain,
! [U_1778,Z_1779,Y_1780] :
( is_a_theorem(implies(implies(U_1778,Z_1779),implies(implies(Y_1780,U_1778),Z_1779)))
| ~ is_a_theorem(implies(not(Y_1780),Z_1779)) ),
inference(splitRight,[status(thm)],[c_549]) ).
tff(c_20332,plain,
! [Y_1801,U_1802,Z_1803] :
( is_a_theorem(implies(implies(Y_1801,U_1802),Z_1803))
| ~ is_a_theorem(implies(U_1802,Z_1803))
| ~ is_a_theorem(implies(not(Y_1801),Z_1803)) ),
inference(resolution,[status(thm)],[c_19881,c_7474]) ).
tff(c_20391,plain,
! [Z_1804,Y_1805,U_1806] :
( is_a_theorem(Z_1804)
| ~ is_a_theorem(implies(Y_1805,U_1806))
| ~ is_a_theorem(implies(U_1806,Z_1804))
| ~ is_a_theorem(implies(not(Y_1805),Z_1804)) ),
inference(resolution,[status(thm)],[c_20332,c_7474]) ).
tff(c_20548,plain,
! [Z_1807,Y_1808,Z_1809] :
( is_a_theorem(Z_1807)
| ~ is_a_theorem(implies(implies(Y_1808,Z_1809),Z_1807))
| ~ is_a_theorem(implies(not(Z_1809),Z_1807)) ),
inference(resolution,[status(thm)],[c_21,c_20391]) ).
tff(c_20713,plain,
! [Y_1810,Z_1811] :
( is_a_theorem(implies(Y_1810,Z_1811))
| ~ is_a_theorem(implies(not(Z_1811),implies(Y_1810,Z_1811))) ),
inference(resolution,[status(thm)],[c_4,c_20548]) ).
tff(c_20804,plain,
! [X_6,Y_7] : is_a_theorem(implies(not(X_6),implies(X_6,Y_7))),
inference(resolution,[status(thm)],[c_145,c_20713]) ).
tff(c_18408,plain,
! [U_1561,Z_1562,Y_1563,X_1564] :
( is_a_theorem(implies(implies(U_1561,Z_1562),implies(implies(Y_1563,U_1561),Z_1562)))
| ~ is_a_theorem(implies(implies(X_1564,not(Y_1563)),Z_1562)) ),
inference(resolution,[status(thm)],[c_4,c_446]) ).
tff(c_18497,plain,
! [U_1565,Y_1566,Y_1567] : is_a_theorem(implies(implies(U_1565,implies(Y_1566,not(Y_1567))),implies(implies(Y_1567,U_1565),implies(Y_1566,not(Y_1567))))),
inference(resolution,[status(thm)],[c_4,c_18408]) ).
tff(c_18518,plain,
! [U_1565,Y_1567,Y_1566] : is_a_theorem(implies(not(U_1565),implies(implies(Y_1567,U_1565),implies(Y_1566,not(Y_1567))))),
inference(resolution,[status(thm)],[c_18497,c_41]) ).
tff(c_22227,plain,
! [Y_1860,Y_1861] : is_a_theorem(implies(implies(Y_1860,implies(Y_1861,not(Y_1860))),implies(Y_1861,not(Y_1860)))),
inference(resolution,[status(thm)],[c_18518,c_20713]) ).
tff(c_22596,plain,
! [Y_1879,Y_1880] :
( is_a_theorem(implies(Y_1879,not(Y_1880)))
| ~ is_a_theorem(implies(Y_1880,implies(Y_1879,not(Y_1880)))) ),
inference(resolution,[status(thm)],[c_22227,c_7474]) ).
tff(c_22662,plain,
! [X_1881] : is_a_theorem(implies(X_1881,not(not(X_1881)))),
inference(resolution,[status(thm)],[c_20804,c_22596]) ).
tff(c_22699,plain,
! [X_30,Y_28] :
( is_a_theorem(not(not(implies(X_30,Y_28))))
| ~ is_a_theorem(Y_28) ),
inference(resolution,[status(thm)],[c_22662,c_12479]) ).
tff(c_22730,plain,
! [Y_28] : ~ is_a_theorem(Y_28),
inference(negUnitSimplification,[status(thm)],[c_18188,c_22699]) ).
tff(c_22650,plain,
! [X_6] : is_a_theorem(implies(X_6,not(not(X_6)))),
inference(resolution,[status(thm)],[c_20804,c_22596]) ).
tff(c_22825,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_22730,c_22650]) ).
tff(c_22826,plain,
! [Z_199,X_59,Y_61] :
( is_a_theorem(Z_199)
| ~ is_a_theorem(implies(implies(X_59,Y_61),Z_199))
| ~ is_a_theorem(not(X_59)) ),
inference(splitRight,[status(thm)],[c_981]) ).
tff(c_33154,plain,
! [Y_2577,U_2578,Z_2579] :
( is_a_theorem(implies(implies(Y_2577,U_2578),Z_2579))
| ~ is_a_theorem(not(U_2578))
| ~ is_a_theorem(implies(not(Y_2577),Z_2579)) ),
inference(resolution,[status(thm)],[c_33064,c_22826]) ).
tff(c_10,plain,
~ is_a_theorem(implies(implies(not(a),a),a)),
inference(cnfTransformation,[status(thm)],[f_44]) ).
tff(c_33240,plain,
( ~ is_a_theorem(not(a))
| ~ is_a_theorem(implies(not(not(a)),a)) ),
inference(resolution,[status(thm)],[c_33154,c_10]) ).
tff(c_33241,plain,
~ is_a_theorem(implies(not(not(a)),a)),
inference(splitLeft,[status(thm)],[c_33240]) ).
tff(c_68987,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_68954,c_33241]) ).
tff(c_68989,plain,
is_a_theorem(implies(not(not(a)),a)),
inference(splitRight,[status(thm)],[c_33240]) ).
tff(c_71075,plain,
( ~ is_a_theorem(implies(a,a))
| ~ is_a_theorem(implies(not(not(a)),a)) ),
inference(resolution,[status(thm)],[c_71002,c_10]) ).
tff(c_71105,plain,
~ is_a_theorem(implies(a,a)),
inference(demodulation,[status(thm),theory(equality)],[c_68989,c_71075]) ).
tff(c_72554,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_72538,c_71105]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.14 % Problem : LCL071-1 : TPTP v8.1.2. Released v1.0.0.
% 0.13/0.15 % 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 : n007.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 13:17:23 EDT 2023
% 0.15/0.36 % CPUTime :
% 19.52/9.95 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 19.60/9.98
% 19.60/9.98 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 19.82/10.04
% 19.82/10.04 Inference rules
% 19.82/10.04 ----------------------
% 19.82/10.04 #Ref : 0
% 19.82/10.04 #Sup : 16697
% 19.82/10.04 #Fact : 0
% 19.82/10.04 #Define : 0
% 19.82/10.04 #Split : 61
% 19.82/10.04 #Chain : 0
% 19.82/10.04 #Close : 0
% 19.82/10.04
% 19.82/10.04 Ordering : KBO
% 19.82/10.04
% 19.82/10.04 Simplification rules
% 19.82/10.04 ----------------------
% 19.82/10.04 #Subsume : 10515
% 19.82/10.04 #Demod : 1489
% 19.82/10.04 #Tautology : 1689
% 19.82/10.04 #SimpNegUnit : 2641
% 19.82/10.04 #BackRed : 913
% 19.82/10.04
% 19.82/10.04 #Partial instantiations: 0
% 19.82/10.04 #Strategies tried : 1
% 19.82/10.04
% 19.82/10.04 Timing (in seconds)
% 19.82/10.04 ----------------------
% 19.82/10.05 Preprocessing : 0.40
% 19.82/10.05 Parsing : 0.22
% 19.82/10.05 CNF conversion : 0.02
% 19.82/10.05 Main loop : 8.49
% 19.82/10.05 Inferencing : 1.78
% 19.82/10.05 Reduction : 2.48
% 19.82/10.05 Demodulation : 1.80
% 19.82/10.05 BG Simplification : 0.08
% 19.82/10.05 Subsumption : 3.71
% 19.82/10.05 Abstraction : 0.14
% 19.82/10.05 MUC search : 0.00
% 19.82/10.05 Cooper : 0.00
% 19.82/10.05 Total : 8.99
% 19.94/10.05 Index Insertion : 0.00
% 19.94/10.05 Index Deletion : 0.00
% 19.94/10.05 Index Matching : 0.00
% 19.94/10.05 BG Taut test : 0.00
%------------------------------------------------------------------------------