TSTP Solution File: LCL401-1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : LCL401-1 : 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 : n008.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 10:48:02 EDT 2023
% Result : Unsatisfiable 81.39s 68.07s
% Output : CNFRefutation 81.50s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 10
% Syntax : Number of formulae : 90 ( 29 unt; 5 typ; 0 def)
% Number of atoms : 162 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 156 ( 79 ~; 77 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 6 ( 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 : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 224 (; 224 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ is_a_theorem > implies > #nlpp > not > y > x
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(x,type,
x: $i ).
tff(is_a_theorem,type,
is_a_theorem: $i > $o ).
tff(y,type,
y: $i ).
tff(not,type,
not: $i > $i ).
tff(implies,type,
implies: ( $i * $i ) > $i ).
tff(f_38,axiom,
! [X,Y] : is_a_theorem(implies(X,implies(not(X),Y))),
file(unknown,unknown) ).
tff(f_36,axiom,
! [X] : is_a_theorem(implies(implies(not(X),X),X)),
file(unknown,unknown) ).
tff(f_34,axiom,
! [X,Y,Z] : is_a_theorem(implies(implies(X,Y),implies(implies(Y,Z),implies(X,Z)))),
file(unknown,unknown) ).
tff(f_32,axiom,
! [X,Y] :
( ~ is_a_theorem(implies(X,Y))
| ~ is_a_theorem(X)
| is_a_theorem(Y) ),
file(unknown,unknown) ).
tff(f_40,axiom,
~ is_a_theorem(implies(not(implies(x,y)),not(y))),
file(unknown,unknown) ).
tff(c_8,plain,
! [X_7,Y_8] : is_a_theorem(implies(X_7,implies(not(X_7),Y_8))),
inference(cnfTransformation,[status(thm)],[f_38]) ).
tff(c_6,plain,
! [X_6] : is_a_theorem(implies(implies(not(X_6),X_6),X_6)),
inference(cnfTransformation,[status(thm)],[f_36]) ).
tff(c_23,plain,
! [X_15,Y_16,Z_17] : is_a_theorem(implies(implies(X_15,Y_16),implies(implies(Y_16,Z_17),implies(X_15,Z_17)))),
inference(cnfTransformation,[status(thm)],[f_34]) ).
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_32]) ).
tff(c_43,plain,
! [Y_20,Z_21,X_22] :
( is_a_theorem(implies(implies(Y_20,Z_21),implies(X_22,Z_21)))
| ~ is_a_theorem(implies(X_22,Y_20)) ),
inference(resolution,[status(thm)],[c_23,c_2]) ).
tff(c_49,plain,
! [X_24,Z_25,Y_26] :
( is_a_theorem(implies(X_24,Z_25))
| ~ is_a_theorem(implies(Y_26,Z_25))
| ~ is_a_theorem(implies(X_24,Y_26)) ),
inference(resolution,[status(thm)],[c_43,c_2]) ).
tff(c_87,plain,
! [X_33,X_34] :
( is_a_theorem(implies(X_33,X_34))
| ~ is_a_theorem(implies(X_33,implies(not(X_34),X_34))) ),
inference(resolution,[status(thm)],[c_6,c_49]) ).
tff(c_112,plain,
! [Y_8] : is_a_theorem(implies(Y_8,Y_8)),
inference(resolution,[status(thm)],[c_8,c_87]) ).
tff(c_27,plain,
! [Y_16,Z_17,X_15] :
( is_a_theorem(implies(implies(Y_16,Z_17),implies(X_15,Z_17)))
| ~ is_a_theorem(implies(X_15,Y_16)) ),
inference(resolution,[status(thm)],[c_23,c_2]) ).
tff(c_74,plain,
! [X_30,X_31,Y_32] :
( is_a_theorem(implies(X_30,implies(not(X_31),Y_32)))
| ~ is_a_theorem(implies(X_30,X_31)) ),
inference(resolution,[status(thm)],[c_8,c_49]) ).
tff(c_410,plain,
! [X_69,Y_70,X_71] :
( is_a_theorem(implies(not(X_69),Y_70))
| ~ is_a_theorem(X_71)
| ~ is_a_theorem(implies(X_71,X_69)) ),
inference(resolution,[status(thm)],[c_74,c_2]) ).
tff(c_11547,plain,
! [X_484,Z_485,Y_486,Y_487] :
( is_a_theorem(implies(not(implies(X_484,Z_485)),Y_486))
| ~ is_a_theorem(implies(Y_487,Z_485))
| ~ is_a_theorem(implies(X_484,Y_487)) ),
inference(resolution,[status(thm)],[c_27,c_410]) ).
tff(c_11761,plain,
! [X_488,X_489,Y_490] :
( is_a_theorem(implies(not(implies(X_488,X_489)),Y_490))
| ~ is_a_theorem(implies(X_488,implies(not(X_489),X_489))) ),
inference(resolution,[status(thm)],[c_6,c_11547]) ).
tff(c_15224,plain,
! [X_543,Y_544] : is_a_theorem(implies(not(implies(implies(not(X_543),X_543),X_543)),Y_544)),
inference(resolution,[status(thm)],[c_112,c_11761]) ).
tff(c_13,plain,
! [Y_12,X_13] :
( is_a_theorem(Y_12)
| ~ is_a_theorem(X_13)
| ~ is_a_theorem(implies(X_13,Y_12)) ),
inference(cnfTransformation,[status(thm)],[f_32]) ).
tff(c_21,plain,
! [X_7,Y_8] :
( is_a_theorem(implies(not(X_7),Y_8))
| ~ is_a_theorem(X_7) ),
inference(resolution,[status(thm)],[c_8,c_13]) ).
tff(c_113,plain,
! [X_35,X_36,Z_37,Y_38] :
( is_a_theorem(implies(X_35,implies(X_36,Z_37)))
| ~ is_a_theorem(implies(X_35,implies(Y_38,Z_37)))
| ~ is_a_theorem(implies(X_36,Y_38)) ),
inference(resolution,[status(thm)],[c_27,c_49]) ).
tff(c_198,plain,
! [X_44,X_45,Y_46] :
( is_a_theorem(implies(X_44,implies(X_45,Y_46)))
| ~ is_a_theorem(implies(X_45,not(X_44))) ),
inference(resolution,[status(thm)],[c_8,c_113]) ).
tff(c_220,plain,
! [X_47,X_48,Y_49] :
( is_a_theorem(implies(X_47,implies(not(X_48),Y_49)))
| ~ is_a_theorem(X_48) ),
inference(resolution,[status(thm)],[c_21,c_198]) ).
tff(c_63,plain,
! [X_24,X_6] :
( is_a_theorem(implies(X_24,X_6))
| ~ is_a_theorem(implies(X_24,implies(not(X_6),X_6))) ),
inference(resolution,[status(thm)],[c_6,c_49]) ).
tff(c_241,plain,
! [X_50,Y_51] :
( is_a_theorem(implies(X_50,Y_51))
| ~ is_a_theorem(Y_51) ),
inference(resolution,[status(thm)],[c_220,c_63]) ).
tff(c_272,plain,
! [X_50,X_6] :
( is_a_theorem(implies(X_50,X_6))
| ~ is_a_theorem(implies(not(X_6),X_6)) ),
inference(resolution,[status(thm)],[c_241,c_63]) ).
tff(c_15443,plain,
! [X_50,X_543] : is_a_theorem(implies(X_50,implies(implies(not(X_543),X_543),X_543))),
inference(resolution,[status(thm)],[c_15224,c_272]) ).
tff(c_4,plain,
! [X_3,Y_4,Z_5] : is_a_theorem(implies(implies(X_3,Y_4),implies(implies(Y_4,Z_5),implies(X_3,Z_5)))),
inference(cnfTransformation,[status(thm)],[f_34]) ).
tff(c_1521,plain,
! [X_139,Y_140,X_141,Z_142] :
( is_a_theorem(implies(implies(X_139,Y_140),implies(X_141,implies(X_139,Z_142))))
| ~ is_a_theorem(implies(X_141,implies(Y_140,Z_142))) ),
inference(resolution,[status(thm)],[c_4,c_113]) ).
tff(c_16668,plain,
! [X_564,Y_565,Z_566] :
( is_a_theorem(implies(implies(X_564,Y_565),implies(X_564,Z_566)))
| ~ is_a_theorem(implies(not(implies(X_564,Z_566)),implies(Y_565,Z_566))) ),
inference(resolution,[status(thm)],[c_1521,c_63]) ).
tff(c_16815,plain,
! [X_564,X_543] : is_a_theorem(implies(implies(X_564,implies(not(X_543),X_543)),implies(X_564,X_543))),
inference(resolution,[status(thm)],[c_15443,c_16668]) ).
tff(c_296,plain,
! [X_54,Y_55,Z_56,X_57] :
( is_a_theorem(implies(X_54,implies(implies(Y_55,Z_56),implies(X_57,Z_56))))
| ~ is_a_theorem(implies(X_54,implies(X_57,Y_55))) ),
inference(resolution,[status(thm)],[c_4,c_49]) ).
tff(c_60,plain,
! [X_24,X_15,Z_17,Y_16] :
( is_a_theorem(implies(X_24,implies(X_15,Z_17)))
| ~ is_a_theorem(implies(X_24,implies(Y_16,Z_17)))
| ~ is_a_theorem(implies(X_15,Y_16)) ),
inference(resolution,[status(thm)],[c_27,c_49]) ).
tff(c_3946,plain,
! [Z_265,X_268,Y_267,X_266,X_269] :
( is_a_theorem(implies(X_268,implies(X_269,implies(X_266,Z_265))))
| ~ is_a_theorem(implies(X_269,implies(Y_267,Z_265)))
| ~ is_a_theorem(implies(X_268,implies(X_266,Y_267))) ),
inference(resolution,[status(thm)],[c_296,c_60]) ).
tff(c_9215,plain,
! [X_416,X_417,X_418,Y_419] :
( is_a_theorem(implies(X_416,implies(X_417,implies(X_418,Y_419))))
| ~ is_a_theorem(implies(X_416,implies(X_418,not(X_417)))) ),
inference(resolution,[status(thm)],[c_8,c_3946]) ).
tff(c_9742,plain,
! [X_433,X_434,Y_435] : is_a_theorem(implies(implies(X_433,not(X_434)),implies(X_434,implies(X_433,Y_435)))),
inference(resolution,[status(thm)],[c_112,c_9215]) ).
tff(c_1805,plain,
! [Y_159,Z_160,X_161,X_162] :
( is_a_theorem(implies(implies(Y_159,Z_160),implies(X_161,Z_160)))
| ~ is_a_theorem(implies(X_161,X_162))
| ~ is_a_theorem(implies(X_162,Y_159)) ),
inference(resolution,[status(thm)],[c_27,c_113]) ).
tff(c_1877,plain,
! [Y_159,Z_160,X_7,Y_8] :
( is_a_theorem(implies(implies(Y_159,Z_160),implies(X_7,Z_160)))
| ~ is_a_theorem(implies(implies(not(X_7),Y_8),Y_159)) ),
inference(resolution,[status(thm)],[c_8,c_1805]) ).
tff(c_148900,plain,
! [X_2160,X_2161,Y_2162,Z_2163] : is_a_theorem(implies(implies(implies(X_2160,implies(not(X_2161),Y_2162)),Z_2163),implies(X_2161,Z_2163))),
inference(resolution,[status(thm)],[c_9742,c_1877]) ).
tff(c_237,plain,
! [X_47,Y_49] :
( is_a_theorem(implies(X_47,Y_49))
| ~ is_a_theorem(Y_49) ),
inference(resolution,[status(thm)],[c_220,c_63]) ).
tff(c_177,plain,
! [Y_42,Z_43] :
( is_a_theorem(implies(implies(Y_42,Z_43),Z_43))
| ~ is_a_theorem(implies(not(Z_43),Y_42)) ),
inference(resolution,[status(thm)],[c_27,c_87]) ).
tff(c_552,plain,
! [Z_78,Y_79] :
( is_a_theorem(Z_78)
| ~ is_a_theorem(implies(Y_79,Z_78))
| ~ is_a_theorem(implies(not(Z_78),Y_79)) ),
inference(resolution,[status(thm)],[c_177,c_2]) ).
tff(c_595,plain,
! [Z_78,Y_49] :
( is_a_theorem(Z_78)
| ~ is_a_theorem(implies(Y_49,Z_78))
| ~ is_a_theorem(Y_49) ),
inference(resolution,[status(thm)],[c_237,c_552]) ).
tff(c_164410,plain,
! [X_2286,Z_2287,X_2288,Y_2289] :
( is_a_theorem(implies(X_2286,Z_2287))
| ~ is_a_theorem(implies(implies(X_2288,implies(not(X_2286),Y_2289)),Z_2287)) ),
inference(resolution,[status(thm)],[c_148900,c_595]) ).
tff(c_165920,plain,
! [X_2296,X_2297] : is_a_theorem(implies(X_2296,implies(X_2297,X_2296))),
inference(resolution,[status(thm)],[c_16815,c_164410]) ).
tff(c_4079,plain,
! [X_268,X_7,X_266,Y_8] :
( is_a_theorem(implies(X_268,implies(X_7,implies(X_266,Y_8))))
| ~ is_a_theorem(implies(X_268,implies(X_266,not(X_7)))) ),
inference(resolution,[status(thm)],[c_8,c_3946]) ).
tff(c_169372,plain,
! [X_2320,X_2321,Y_2322] : is_a_theorem(implies(not(X_2320),implies(X_2320,implies(X_2321,Y_2322)))),
inference(resolution,[status(thm)],[c_165920,c_4079]) ).
tff(c_179075,plain,
! [X_2397,Y_2398] : is_a_theorem(implies(not(not(implies(X_2397,Y_2398))),implies(X_2397,Y_2398))),
inference(resolution,[status(thm)],[c_169372,c_63]) ).
tff(c_219,plain,
! [X_44,Y_46] : is_a_theorem(implies(X_44,implies(implies(not(not(X_44)),not(X_44)),Y_46))),
inference(resolution,[status(thm)],[c_6,c_198]) ).
tff(c_47,plain,
! [X_22,Z_21,Y_20] :
( is_a_theorem(implies(X_22,Z_21))
| ~ is_a_theorem(implies(Y_20,Z_21))
| ~ is_a_theorem(implies(X_22,Y_20)) ),
inference(resolution,[status(thm)],[c_43,c_2]) ).
tff(c_10604,plain,
! [X_457,Z_458,Y_459] :
( is_a_theorem(implies(X_457,Z_458))
| ~ is_a_theorem(implies(X_457,implies(Y_459,Z_458)))
| ~ is_a_theorem(implies(not(Z_458),Y_459)) ),
inference(resolution,[status(thm)],[c_177,c_47]) ).
tff(c_10821,plain,
! [X_44,Y_46] :
( is_a_theorem(implies(X_44,Y_46))
| ~ is_a_theorem(implies(not(Y_46),implies(not(not(X_44)),not(X_44)))) ),
inference(resolution,[status(thm)],[c_219,c_10604]) ).
tff(c_184249,plain,
! [X_2432] : is_a_theorem(implies(X_2432,not(implies(not(not(X_2432)),not(X_2432))))),
inference(resolution,[status(thm)],[c_179075,c_10821]) ).
tff(c_942,plain,
! [X_103,X_104,Y_105,X_106] :
( is_a_theorem(implies(X_103,implies(not(X_104),Y_105)))
| ~ is_a_theorem(implies(X_103,X_106))
| ~ is_a_theorem(implies(X_106,X_104)) ),
inference(resolution,[status(thm)],[c_74,c_47]) ).
tff(c_2049,plain,
! [X_173,X_174,Y_175,Y_176] :
( is_a_theorem(implies(X_173,implies(not(X_174),Y_175)))
| ~ is_a_theorem(implies(implies(not(X_173),Y_176),X_174)) ),
inference(resolution,[status(thm)],[c_8,c_942]) ).
tff(c_2130,plain,
! [X_173,Y_176,Y_175] : is_a_theorem(implies(X_173,implies(not(implies(not(X_173),Y_176)),Y_175))),
inference(resolution,[status(thm)],[c_112,c_2049]) ).
tff(c_10811,plain,
! [X_173,Y_175,Y_176] :
( is_a_theorem(implies(X_173,Y_175))
| ~ is_a_theorem(implies(not(Y_175),not(implies(not(X_173),Y_176)))) ),
inference(resolution,[status(thm)],[c_2130,c_10604]) ).
tff(c_185488,plain,
! [Y_2439] : is_a_theorem(implies(not(not(Y_2439)),Y_2439)),
inference(resolution,[status(thm)],[c_184249,c_10811]) ).
tff(c_109,plain,
! [Y_16,Z_17] :
( is_a_theorem(implies(implies(Y_16,Z_17),Z_17))
| ~ is_a_theorem(implies(not(Z_17),Y_16)) ),
inference(resolution,[status(thm)],[c_27,c_87]) ).
tff(c_3456,plain,
! [Y_248,Z_249,X_250,Y_251] :
( is_a_theorem(implies(implies(Y_248,Z_249),implies(X_250,Z_249)))
| ~ is_a_theorem(implies(implies(not(X_250),Y_251),Y_248)) ),
inference(resolution,[status(thm)],[c_8,c_1805]) ).
tff(c_126726,plain,
! [Z_1855,Z_1856,X_1857] :
( is_a_theorem(implies(implies(Z_1855,Z_1856),implies(X_1857,Z_1856)))
| ~ is_a_theorem(implies(not(Z_1855),not(X_1857))) ),
inference(resolution,[status(thm)],[c_109,c_3456]) ).
tff(c_127192,plain,
! [Z_1855,Z_1856] :
( is_a_theorem(implies(implies(Z_1855,Z_1856),Z_1856))
| ~ is_a_theorem(implies(not(Z_1855),not(not(Z_1856)))) ),
inference(resolution,[status(thm)],[c_126726,c_63]) ).
tff(c_196532,plain,
! [Z_2501] : is_a_theorem(implies(implies(not(not(not(Z_2501))),Z_2501),Z_2501)),
inference(resolution,[status(thm)],[c_185488,c_127192]) ).
tff(c_243057,plain,
! [Z_2832,Z_2833] : is_a_theorem(implies(implies(Z_2832,Z_2833),implies(not(not(Z_2832)),Z_2833))),
inference(resolution,[status(thm)],[c_196532,c_1877]) ).
tff(c_86,plain,
! [X_31,Y_32,X_30] :
( is_a_theorem(implies(not(X_31),Y_32))
| ~ is_a_theorem(X_30)
| ~ is_a_theorem(implies(X_30,X_31)) ),
inference(resolution,[status(thm)],[c_74,c_2]) ).
tff(c_31596,plain,
! [Y_806,Y_807,Z_808,X_809,X_810] :
( is_a_theorem(implies(not(implies(X_810,implies(X_809,Z_808))),Y_806))
| ~ is_a_theorem(implies(X_809,Y_807))
| ~ is_a_theorem(implies(X_810,implies(Y_807,Z_808))) ),
inference(resolution,[status(thm)],[c_1521,c_86]) ).
tff(c_31992,plain,
! [Y_806,Y_8,Z_808,X_7,X_810] :
( is_a_theorem(implies(not(implies(X_810,implies(X_7,Z_808))),Y_806))
| ~ is_a_theorem(implies(X_810,implies(implies(not(X_7),Y_8),Z_808))) ),
inference(resolution,[status(thm)],[c_8,c_31596]) ).
tff(c_166513,plain,
! [X_2300,X_2301,Y_2302] : is_a_theorem(implies(not(implies(X_2300,implies(X_2301,X_2300))),Y_2302)),
inference(resolution,[status(thm)],[c_165920,c_31992]) ).
tff(c_18317,plain,
! [Y_590,Z_591,X_592,Y_593] :
( is_a_theorem(implies(implies(Y_590,Z_591),implies(not(X_592),Y_593)))
| ~ is_a_theorem(implies(Z_591,X_592))
| ~ is_a_theorem(implies(not(Z_591),Y_590)) ),
inference(resolution,[status(thm)],[c_109,c_942]) ).
tff(c_139659,plain,
! [Y_2036,Z_2037,Y_2038] :
( is_a_theorem(implies(implies(Y_2036,Z_2037),Y_2038))
| ~ is_a_theorem(implies(Z_2037,Y_2038))
| ~ is_a_theorem(implies(not(Z_2037),Y_2036)) ),
inference(resolution,[status(thm)],[c_18317,c_63]) ).
tff(c_600,plain,
! [Z_78,Y_8] :
( is_a_theorem(Z_78)
| ~ is_a_theorem(implies(implies(not(not(Z_78)),Y_8),Z_78)) ),
inference(resolution,[status(thm)],[c_8,c_552]) ).
tff(c_140353,plain,
! [Y_2038,Z_2037] :
( is_a_theorem(Y_2038)
| ~ is_a_theorem(implies(Z_2037,Y_2038))
| ~ is_a_theorem(implies(not(Z_2037),not(not(Y_2038)))) ),
inference(resolution,[status(thm)],[c_139659,c_600]) ).
tff(c_166939,plain,
! [Y_2038,X_2300,X_2301] :
( is_a_theorem(Y_2038)
| ~ is_a_theorem(implies(implies(X_2300,implies(X_2301,X_2300)),Y_2038)) ),
inference(resolution,[status(thm)],[c_166513,c_140353]) ).
tff(c_243414,plain,
! [Z_2832,X_2301] : is_a_theorem(implies(not(not(Z_2832)),implies(X_2301,Z_2832))),
inference(resolution,[status(thm)],[c_243057,c_166939]) ).
tff(c_64,plain,
! [X_24,X_7,Y_8] :
( is_a_theorem(implies(X_24,implies(not(X_7),Y_8)))
| ~ is_a_theorem(implies(X_24,X_7)) ),
inference(resolution,[status(thm)],[c_8,c_49]) ).
tff(c_10833,plain,
! [X_24,Y_8,X_7] :
( is_a_theorem(implies(X_24,Y_8))
| ~ is_a_theorem(implies(not(Y_8),not(X_7)))
| ~ is_a_theorem(implies(X_24,X_7)) ),
inference(resolution,[status(thm)],[c_64,c_10604]) ).
tff(c_228098,plain,
! [X_2772,X_2773] :
( is_a_theorem(implies(X_2772,not(not(X_2773))))
| ~ is_a_theorem(implies(X_2772,X_2773)) ),
inference(resolution,[status(thm)],[c_185488,c_10833]) ).
tff(c_3834,plain,
! [X_260,Y_261,Z_262] : is_a_theorem(implies(implies(implies(not(X_260),Y_261),Z_262),implies(X_260,Z_262))),
inference(resolution,[status(thm)],[c_112,c_3456]) ).
tff(c_4139,plain,
! [X_272,Z_273,Y_274] :
( is_a_theorem(implies(X_272,Z_273))
| ~ is_a_theorem(implies(implies(not(X_272),Y_274),Z_273)) ),
inference(resolution,[status(thm)],[c_3834,c_595]) ).
tff(c_4293,plain,
! [X_272,Z_17] :
( is_a_theorem(implies(X_272,Z_17))
| ~ is_a_theorem(implies(not(Z_17),not(X_272))) ),
inference(resolution,[status(thm)],[c_109,c_4139]) ).
tff(c_262573,plain,
! [X_2936,Z_2937] :
( is_a_theorem(implies(not(X_2936),Z_2937))
| ~ is_a_theorem(implies(not(Z_2937),X_2936)) ),
inference(resolution,[status(thm)],[c_228098,c_4293]) ).
tff(c_263085,plain,
! [X_2301,Z_2832] : is_a_theorem(implies(not(implies(X_2301,Z_2832)),not(Z_2832))),
inference(resolution,[status(thm)],[c_243414,c_262573]) ).
tff(c_10,plain,
~ is_a_theorem(implies(not(implies(x,y)),not(y))),
inference(cnfTransformation,[status(thm)],[f_40]) ).
tff(c_263321,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_263085,c_10]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : LCL401-1 : TPTP v8.1.2. Released v2.3.0.
% 0.00/0.14 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.18/0.36 % Computer : n008.cluster.edu
% 0.18/0.36 % Model : x86_64 x86_64
% 0.18/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.36 % Memory : 8042.1875MB
% 0.18/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.18/0.36 % CPULimit : 300
% 0.18/0.36 % WCLimit : 300
% 0.18/0.36 % DateTime : Thu Aug 3 14:13:18 EDT 2023
% 0.18/0.36 % CPUTime :
% 81.39/68.07 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 81.39/68.08
% 81.39/68.09 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 81.50/68.13
% 81.50/68.13 Inference rules
% 81.50/68.13 ----------------------
% 81.50/68.13 #Ref : 0
% 81.50/68.13 #Sup : 62685
% 81.50/68.13 #Fact : 0
% 81.50/68.13 #Define : 0
% 81.50/68.13 #Split : 10
% 81.50/68.13 #Chain : 0
% 81.50/68.13 #Close : 0
% 81.50/68.13
% 81.50/68.13 Ordering : KBO
% 81.50/68.13
% 81.50/68.13 Simplification rules
% 81.50/68.13 ----------------------
% 81.50/68.13 #Subsume : 16495
% 81.50/68.13 #Demod : 6990
% 81.50/68.13 #Tautology : 7138
% 81.50/68.13 #SimpNegUnit : 0
% 81.50/68.13 #BackRed : 1
% 81.50/68.13
% 81.50/68.13 #Partial instantiations: 0
% 81.50/68.13 #Strategies tried : 1
% 81.50/68.13
% 81.50/68.13 Timing (in seconds)
% 81.50/68.13 ----------------------
% 81.50/68.13 Preprocessing : 0.41
% 81.50/68.13 Parsing : 0.23
% 81.50/68.13 CNF conversion : 0.02
% 81.50/68.13 Main loop : 66.62
% 81.50/68.14 Inferencing : 4.06
% 81.50/68.14 Reduction : 15.91
% 81.50/68.14 Demodulation : 11.72
% 81.50/68.14 BG Simplification : 0.25
% 81.50/68.14 Subsumption : 42.15
% 81.50/68.14 Abstraction : 0.40
% 81.50/68.14 MUC search : 0.00
% 81.50/68.14 Cooper : 0.00
% 81.50/68.14 Total : 67.10
% 81.50/68.14 Index Insertion : 0.00
% 81.50/68.14 Index Deletion : 0.00
% 81.50/68.14 Index Matching : 0.00
% 81.50/68.14 BG Taut test : 0.00
%------------------------------------------------------------------------------