TSTP Solution File: LAT029-1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : LAT029-1 : TPTP v8.1.2. Released v2.2.0.
% 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 : n032.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 10:46:15 EDT 2023
% Result : Unsatisfiable 13.74s 4.84s
% Output : CNFRefutation 13.74s
% Verified :
% SZS Type : Refutation
% Derivation depth : 36
% Number of leaves : 10
% Syntax : Number of formulae : 160 ( 152 unt; 4 typ; 0 def)
% Number of atoms : 165 ( 161 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 26 ( 17 ~; 9 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 4 ( 2 >; 2 *; 0 +; 0 <<)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 287 (; 287 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ meet > join > #nlpp > b > a
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(a,type,
a: $i ).
tff(join,type,
join: ( $i * $i ) > $i ).
tff(b,type,
b: $i ).
tff(meet,type,
meet: ( $i * $i ) > $i ).
tff(f_27,axiom,
! [X,Y] : ( join(meet(X,Y),meet(X,join(X,Y))) = X ),
file(unknown,unknown) ).
tff(f_33,axiom,
! [X,Y,Z] : ( meet(meet(join(X,Y),join(Z,X)),X) = X ),
file(unknown,unknown) ).
tff(f_35,axiom,
! [X,Y,Z] : ( join(join(meet(X,Y),meet(Z,X)),X) = X ),
file(unknown,unknown) ).
tff(f_31,axiom,
! [X,Y] : ( join(meet(X,Y),meet(Y,join(X,Y))) = Y ),
file(unknown,unknown) ).
tff(f_29,axiom,
! [X,Y] : ( join(meet(X,X),meet(Y,join(X,X))) = X ),
file(unknown,unknown) ).
tff(f_47,axiom,
( ( meet(a,a) != a )
| ( meet(b,a) != meet(a,b) )
| ( join(a,a) != a )
| ( join(b,a) != join(a,b) ) ),
file(unknown,unknown) ).
tff(c_22,plain,
! [X_16,Y_17] : ( join(meet(X_16,Y_17),meet(X_16,join(X_16,Y_17))) = X_16 ),
inference(cnfTransformation,[status(thm)],[f_27]) ).
tff(c_2,plain,
! [X_1,Y_2] : ( join(meet(X_1,Y_2),meet(X_1,join(X_1,Y_2))) = X_1 ),
inference(cnfTransformation,[status(thm)],[f_27]) ).
tff(c_25,plain,
! [X_16,Y_17] : ( join(meet(meet(X_16,Y_17),meet(X_16,join(X_16,Y_17))),meet(meet(X_16,Y_17),X_16)) = meet(X_16,Y_17) ),
inference(superposition,[status(thm),theory(equality)],[c_22,c_2]) ).
tff(c_109,plain,
! [X_22,Y_23,Z_24] : ( meet(meet(join(X_22,Y_23),join(Z_24,X_22)),X_22) = X_22 ),
inference(cnfTransformation,[status(thm)],[f_33]) ).
tff(c_10,plain,
! [X_10,Y_11,Z_12] : ( join(join(meet(X_10,Y_11),meet(Z_12,X_10)),X_10) = X_10 ),
inference(cnfTransformation,[status(thm)],[f_35]) ).
tff(c_128,plain,
! [X_22,Y_11] : ( join(join(meet(X_22,Y_11),X_22),X_22) = X_22 ),
inference(superposition,[status(thm),theory(equality)],[c_109,c_10]) ).
tff(c_8,plain,
! [X_7,Y_8,Z_9] : ( meet(meet(join(X_7,Y_8),join(Z_9,X_7)),X_7) = X_7 ),
inference(cnfTransformation,[status(thm)],[f_33]) ).
tff(c_6,plain,
! [X_5,Y_6] : ( join(meet(X_5,Y_6),meet(Y_6,join(X_5,Y_6))) = Y_6 ),
inference(cnfTransformation,[status(thm)],[f_31]) ).
tff(c_17080,plain,
! [Y_241,Z_242,X_243] : ( meet(meet(Y_241,join(Z_242,meet(X_243,Y_241))),meet(X_243,Y_241)) = meet(X_243,Y_241) ),
inference(superposition,[status(thm),theory(equality)],[c_6,c_109]) ).
tff(c_17171,plain,
! [X_7,Z_242,Y_8,Z_9] : ( meet(meet(X_7,join(Z_242,X_7)),meet(meet(join(X_7,Y_8),join(Z_9,X_7)),X_7)) = meet(meet(join(X_7,Y_8),join(Z_9,X_7)),X_7) ),
inference(superposition,[status(thm),theory(equality)],[c_8,c_17080]) ).
tff(c_17307,plain,
! [X_245,Z_246] : ( meet(meet(X_245,join(Z_246,X_245)),X_245) = X_245 ),
inference(demodulation,[status(thm),theory(equality)],[c_8,c_8,c_17171]) ).
tff(c_17373,plain,
! [X_22] : ( meet(meet(X_22,X_22),X_22) = X_22 ),
inference(superposition,[status(thm),theory(equality)],[c_128,c_17307]) ).
tff(c_17645,plain,
! [X_251,Z_252,Y_253] : ( meet(meet(X_251,join(Z_252,meet(X_251,Y_253))),meet(X_251,Y_253)) = meet(X_251,Y_253) ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_109]) ).
tff(c_17700,plain,
! [X_22,Z_252] : ( meet(meet(meet(X_22,X_22),join(Z_252,X_22)),meet(meet(X_22,X_22),X_22)) = meet(meet(X_22,X_22),X_22) ),
inference(superposition,[status(thm),theory(equality)],[c_17373,c_17645]) ).
tff(c_17823,plain,
! [X_254,Z_255] : ( meet(meet(meet(X_254,X_254),join(Z_255,X_254)),X_254) = X_254 ),
inference(demodulation,[status(thm),theory(equality)],[c_17373,c_17373,c_17700]) ).
tff(c_17899,plain,
! [X_22] : ( meet(meet(meet(X_22,X_22),X_22),X_22) = X_22 ),
inference(superposition,[status(thm),theory(equality)],[c_128,c_17823]) ).
tff(c_17940,plain,
! [X_256] : ( meet(X_256,X_256) = X_256 ),
inference(demodulation,[status(thm),theory(equality)],[c_17373,c_17899]) ).
tff(c_17982,plain,
! [Y_8] : ( meet(join(Y_8,Y_8),Y_8) = Y_8 ),
inference(superposition,[status(thm),theory(equality)],[c_17940,c_8]) ).
tff(c_17930,plain,
! [X_22] : ( meet(X_22,X_22) = X_22 ),
inference(demodulation,[status(thm),theory(equality)],[c_17373,c_17899]) ).
tff(c_18114,plain,
! [X_259] : ( join(join(X_259,X_259),X_259) = X_259 ),
inference(superposition,[status(thm),theory(equality)],[c_17940,c_128]) ).
tff(c_18144,plain,
! [X_259] : ( join(meet(join(X_259,X_259),X_259),meet(X_259,X_259)) = X_259 ),
inference(superposition,[status(thm),theory(equality)],[c_18114,c_6]) ).
tff(c_18158,plain,
! [X_259] : ( join(X_259,X_259) = X_259 ),
inference(demodulation,[status(thm),theory(equality)],[c_17982,c_17930,c_18144]) ).
tff(c_17210,plain,
! [X_7,Z_242] : ( meet(meet(X_7,join(Z_242,X_7)),X_7) = X_7 ),
inference(demodulation,[status(thm),theory(equality)],[c_8,c_8,c_17171]) ).
tff(c_115,plain,
! [X_22,Y_23,Z_24] : ( join(X_22,meet(X_22,join(meet(join(X_22,Y_23),join(Z_24,X_22)),X_22))) = X_22 ),
inference(superposition,[status(thm),theory(equality)],[c_109,c_6]) ).
tff(c_18547,plain,
! [X_266,Y_267,Z_268] : ( join(X_266,meet(X_266,join(meet(join(X_266,Y_267),join(Z_268,X_266)),X_266))) = X_266 ),
inference(superposition,[status(thm),theory(equality)],[c_109,c_6]) ).
tff(c_18587,plain,
! [X_22,Z_268] : ( join(X_22,meet(X_22,join(meet(X_22,join(Z_268,X_22)),X_22))) = X_22 ),
inference(superposition,[status(thm),theory(equality)],[c_115,c_18547]) ).
tff(c_4,plain,
! [X_3,Y_4] : ( join(meet(X_3,X_3),meet(Y_4,join(X_3,X_3))) = X_3 ),
inference(cnfTransformation,[status(thm)],[f_29]) ).
tff(c_17938,plain,
! [X_3,Y_4] : ( join(X_3,meet(Y_4,join(X_3,X_3))) = X_3 ),
inference(demodulation,[status(thm),theory(equality)],[c_17930,c_4]) ).
tff(c_18450,plain,
! [X_264,Y_265] : ( join(X_264,meet(Y_265,X_264)) = X_264 ),
inference(demodulation,[status(thm),theory(equality)],[c_18158,c_17938]) ).
tff(c_134,plain,
! [Y_6,Z_24,X_5] : ( meet(meet(Y_6,join(Z_24,meet(X_5,Y_6))),meet(X_5,Y_6)) = meet(X_5,Y_6) ),
inference(superposition,[status(thm),theory(equality)],[c_6,c_109]) ).
tff(c_18462,plain,
! [X_264,Y_265] : ( meet(meet(X_264,X_264),meet(Y_265,X_264)) = meet(Y_265,X_264) ),
inference(superposition,[status(thm),theory(equality)],[c_18450,c_134]) ).
tff(c_18523,plain,
! [X_264,Y_265] : ( meet(X_264,meet(Y_265,X_264)) = meet(Y_265,X_264) ),
inference(demodulation,[status(thm),theory(equality)],[c_17930,c_18462]) ).
tff(c_18448,plain,
! [X_3,Y_4] : ( join(X_3,meet(Y_4,X_3)) = X_3 ),
inference(demodulation,[status(thm),theory(equality)],[c_18158,c_17938]) ).
tff(c_19166,plain,
! [X_277,Y_278] : ( join(meet(meet(X_277,Y_278),meet(X_277,join(X_277,Y_278))),meet(meet(X_277,Y_278),X_277)) = meet(X_277,Y_278) ),
inference(superposition,[status(thm),theory(equality)],[c_22,c_2]) ).
tff(c_19229,plain,
! [X_3,Y_4] : ( join(meet(meet(X_3,meet(Y_4,X_3)),meet(X_3,X_3)),meet(meet(X_3,meet(Y_4,X_3)),X_3)) = meet(X_3,meet(Y_4,X_3)) ),
inference(superposition,[status(thm),theory(equality)],[c_18448,c_19166]) ).
tff(c_19362,plain,
! [Y_279,X_280] : ( meet(meet(Y_279,X_280),X_280) = meet(Y_279,X_280) ),
inference(demodulation,[status(thm),theory(equality)],[c_18523,c_18523,c_18158,c_17930,c_19229]) ).
tff(c_155,plain,
! [X_10,Y_23] : ( meet(meet(join(X_10,Y_23),X_10),X_10) = X_10 ),
inference(superposition,[status(thm),theory(equality)],[c_10,c_109]) ).
tff(c_19508,plain,
! [X_281,Y_282] : ( meet(join(X_281,Y_282),X_281) = X_281 ),
inference(superposition,[status(thm),theory(equality)],[c_19362,c_155]) ).
tff(c_19606,plain,
! [X_1,Y_2] : ( meet(X_1,meet(X_1,Y_2)) = meet(X_1,Y_2) ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_19508]) ).
tff(c_21021,plain,
! [X_299,Z_300] : ( join(X_299,meet(X_299,join(meet(X_299,join(Z_300,X_299)),X_299))) = X_299 ),
inference(superposition,[status(thm),theory(equality)],[c_115,c_18547]) ).
tff(c_19336,plain,
! [Y_4,X_3] : ( meet(meet(Y_4,X_3),X_3) = meet(Y_4,X_3) ),
inference(demodulation,[status(thm),theory(equality)],[c_18523,c_18523,c_18158,c_17930,c_19229]) ).
tff(c_62,plain,
! [X_20,Y_21] : ( join(meet(X_20,Y_21),meet(Y_21,join(X_20,Y_21))) = Y_21 ),
inference(cnfTransformation,[status(thm)],[f_31]) ).
tff(c_75,plain,
! [X_20,Y_21] : ( join(meet(meet(X_20,Y_21),meet(Y_21,join(X_20,Y_21))),meet(meet(X_20,Y_21),Y_21)) = meet(X_20,Y_21) ),
inference(superposition,[status(thm),theory(equality)],[c_62,c_2]) ).
tff(c_20508,plain,
! [X_20,Y_21] : ( join(meet(meet(X_20,Y_21),meet(Y_21,join(X_20,Y_21))),meet(X_20,Y_21)) = meet(X_20,Y_21) ),
inference(demodulation,[status(thm),theory(equality)],[c_19336,c_75]) ).
tff(c_21040,plain,
! [X_299,Z_300] : ( join(meet(meet(X_299,meet(X_299,join(meet(X_299,join(Z_300,X_299)),X_299))),meet(meet(X_299,join(meet(X_299,join(Z_300,X_299)),X_299)),X_299)),meet(X_299,meet(X_299,join(meet(X_299,join(Z_300,X_299)),X_299)))) = meet(X_299,meet(X_299,join(meet(X_299,join(Z_300,X_299)),X_299))) ),
inference(superposition,[status(thm),theory(equality)],[c_21021,c_20508]) ).
tff(c_21173,plain,
! [X_301,Z_302] : ( meet(X_301,join(meet(X_301,join(Z_302,X_301)),X_301)) = X_301 ),
inference(demodulation,[status(thm),theory(equality)],[c_18587,c_19606,c_19606,c_17210,c_19606,c_17210,c_21040]) ).
tff(c_21221,plain,
! [X_301,Z_302] : ( join(join(meet(X_301,join(Z_302,X_301)),X_301),X_301) = join(meet(X_301,join(Z_302,X_301)),X_301) ),
inference(superposition,[status(thm),theory(equality)],[c_21173,c_18448]) ).
tff(c_21347,plain,
! [X_303,Z_304] : ( join(meet(X_303,join(Z_304,X_303)),X_303) = X_303 ),
inference(demodulation,[status(thm),theory(equality)],[c_128,c_21221]) ).
tff(c_21413,plain,
! [X_303,Z_304] : ( join(meet(meet(X_303,join(Z_304,X_303)),X_303),meet(meet(X_303,join(Z_304,X_303)),X_303)) = meet(X_303,join(Z_304,X_303)) ),
inference(superposition,[status(thm),theory(equality)],[c_21347,c_2]) ).
tff(c_21517,plain,
! [X_305,Z_306] : ( meet(X_305,join(Z_306,X_305)) = X_305 ),
inference(demodulation,[status(thm),theory(equality)],[c_18158,c_17210,c_17210,c_21413]) ).
tff(c_22238,plain,
! [Z_314,X_315] : ( join(join(Z_314,X_315),X_315) = join(Z_314,X_315) ),
inference(superposition,[status(thm),theory(equality)],[c_21517,c_18448]) ).
tff(c_22311,plain,
! [X_16,Y_17] : ( join(meet(meet(X_16,Y_17),meet(X_16,join(X_16,Y_17))),meet(meet(X_16,Y_17),X_16)) = join(meet(X_16,Y_17),meet(meet(X_16,Y_17),X_16)) ),
inference(superposition,[status(thm),theory(equality)],[c_25,c_22238]) ).
tff(c_22357,plain,
! [X_16,Y_17] : ( join(meet(X_16,Y_17),meet(meet(X_16,Y_17),X_16)) = meet(X_16,Y_17) ),
inference(demodulation,[status(thm),theory(equality)],[c_25,c_22311]) ).
tff(c_27183,plain,
! [X_362,Y_363] : ( join(meet(X_362,Y_363),meet(meet(X_362,Y_363),X_362)) = meet(X_362,Y_363) ),
inference(demodulation,[status(thm),theory(equality)],[c_25,c_22311]) ).
tff(c_37,plain,
! [X_10,Y_11,Z_12] : ( join(meet(join(meet(X_10,Y_11),meet(Z_12,X_10)),X_10),meet(join(meet(X_10,Y_11),meet(Z_12,X_10)),X_10)) = join(meet(X_10,Y_11),meet(Z_12,X_10)) ),
inference(superposition,[status(thm),theory(equality)],[c_10,c_22]) ).
tff(c_27213,plain,
! [X_362,Y_363] : ( join(meet(meet(X_362,Y_363),X_362),meet(join(meet(X_362,Y_363),meet(meet(X_362,Y_363),X_362)),X_362)) = join(meet(X_362,Y_363),meet(meet(X_362,Y_363),X_362)) ),
inference(superposition,[status(thm),theory(equality)],[c_27183,c_37]) ).
tff(c_27527,plain,
! [X_364,Y_365] : ( meet(meet(X_364,Y_365),X_364) = meet(X_364,Y_365) ),
inference(demodulation,[status(thm),theory(equality)],[c_22357,c_18158,c_22357,c_27213]) ).
tff(c_27765,plain,
! [X_366,Y_367] : ( join(X_366,meet(X_366,Y_367)) = X_366 ),
inference(superposition,[status(thm),theory(equality)],[c_27527,c_18448]) ).
tff(c_27880,plain,
! [Y_367,X_366] : ( meet(meet(Y_367,X_366),meet(X_366,Y_367)) = meet(X_366,Y_367) ),
inference(superposition,[status(thm),theory(equality)],[c_27765,c_134]) ).
tff(c_30397,plain,
! [Y_391,X_392] : ( meet(meet(Y_391,X_392),meet(X_392,Y_391)) = meet(X_392,Y_391) ),
inference(superposition,[status(thm),theory(equality)],[c_27765,c_134]) ).
tff(c_27449,plain,
! [X_362,Y_363] : ( meet(meet(X_362,Y_363),X_362) = meet(X_362,Y_363) ),
inference(demodulation,[status(thm),theory(equality)],[c_22357,c_18158,c_22357,c_27213]) ).
tff(c_30424,plain,
! [Y_391,X_392] : ( meet(meet(Y_391,X_392),meet(X_392,Y_391)) = meet(meet(X_392,Y_391),meet(Y_391,X_392)) ),
inference(superposition,[status(thm),theory(equality)],[c_30397,c_27449]) ).
tff(c_30672,plain,
! [Y_391,X_392] : ( meet(Y_391,X_392) = meet(X_392,Y_391) ),
inference(demodulation,[status(thm),theory(equality)],[c_27880,c_27880,c_30424]) ).
tff(c_1144,plain,
! [Y_54,Z_55,X_56] : ( meet(meet(Y_54,join(Z_55,meet(X_56,Y_54))),meet(X_56,Y_54)) = meet(X_56,Y_54) ),
inference(superposition,[status(thm),theory(equality)],[c_6,c_109]) ).
tff(c_1189,plain,
! [X_10,Z_55,Y_23] : ( meet(meet(X_10,join(Z_55,X_10)),meet(meet(join(X_10,Y_23),X_10),X_10)) = meet(meet(join(X_10,Y_23),X_10),X_10) ),
inference(superposition,[status(thm),theory(equality)],[c_155,c_1144]) ).
tff(c_1239,plain,
! [X_57,Z_58] : ( meet(meet(X_57,join(Z_58,X_57)),X_57) = X_57 ),
inference(demodulation,[status(thm),theory(equality)],[c_155,c_155,c_1189]) ).
tff(c_1296,plain,
! [X_22] : ( meet(meet(X_22,X_22),X_22) = X_22 ),
inference(superposition,[status(thm),theory(equality)],[c_128,c_1239]) ).
tff(c_1378,plain,
! [X_60,Z_61,Y_62] : ( meet(meet(X_60,join(Z_61,meet(X_60,Y_62))),meet(X_60,Y_62)) = meet(X_60,Y_62) ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_109]) ).
tff(c_1424,plain,
! [X_22,Z_61] : ( meet(meet(meet(X_22,X_22),join(Z_61,X_22)),meet(meet(X_22,X_22),X_22)) = meet(meet(X_22,X_22),X_22) ),
inference(superposition,[status(thm),theory(equality)],[c_1296,c_1378]) ).
tff(c_2157,plain,
! [X_74,Z_75] : ( meet(meet(meet(X_74,X_74),join(Z_75,X_74)),X_74) = X_74 ),
inference(demodulation,[status(thm),theory(equality)],[c_1296,c_1296,c_1424]) ).
tff(c_2247,plain,
! [X_22] : ( meet(meet(meet(X_22,X_22),X_22),X_22) = X_22 ),
inference(superposition,[status(thm),theory(equality)],[c_128,c_2157]) ).
tff(c_2282,plain,
! [X_22] : ( meet(X_22,X_22) = X_22 ),
inference(demodulation,[status(thm),theory(equality)],[c_1296,c_2247]) ).
tff(c_2295,plain,
! [X_76] : ( meet(X_76,X_76) = X_76 ),
inference(demodulation,[status(thm),theory(equality)],[c_1296,c_2247]) ).
tff(c_2333,plain,
! [X_76] : ( join(join(X_76,X_76),X_76) = X_76 ),
inference(superposition,[status(thm),theory(equality)],[c_2295,c_128]) ).
tff(c_2442,plain,
! [X_79,Y_80,Z_81] : ( join(X_79,meet(X_79,join(meet(join(X_79,Y_80),join(Z_81,X_79)),X_79))) = X_79 ),
inference(superposition,[status(thm),theory(equality)],[c_109,c_6]) ).
tff(c_2500,plain,
! [Y_80] : ( join(Y_80,meet(Y_80,join(join(Y_80,Y_80),Y_80))) = Y_80 ),
inference(superposition,[status(thm),theory(equality)],[c_2282,c_2442]) ).
tff(c_2557,plain,
! [Y_80] : ( join(Y_80,Y_80) = Y_80 ),
inference(demodulation,[status(thm),theory(equality)],[c_2282,c_2333,c_2500]) ).
tff(c_1231,plain,
! [X_10,Z_55] : ( meet(meet(X_10,join(Z_55,X_10)),X_10) = X_10 ),
inference(demodulation,[status(thm),theory(equality)],[c_155,c_155,c_1189]) ).
tff(c_2293,plain,
! [X_3,Y_4] : ( join(X_3,meet(Y_4,join(X_3,X_3))) = X_3 ),
inference(demodulation,[status(thm),theory(equality)],[c_2282,c_4]) ).
tff(c_2625,plain,
! [X_83,Y_84] : ( join(X_83,meet(Y_84,X_83)) = X_83 ),
inference(demodulation,[status(thm),theory(equality)],[c_2557,c_2293]) ).
tff(c_2643,plain,
! [X_83,Y_84] : ( meet(meet(X_83,X_83),meet(Y_84,X_83)) = meet(Y_84,X_83) ),
inference(superposition,[status(thm),theory(equality)],[c_2625,c_134]) ).
tff(c_2685,plain,
! [X_83,Y_84] : ( meet(X_83,meet(Y_84,X_83)) = meet(Y_84,X_83) ),
inference(demodulation,[status(thm),theory(equality)],[c_2282,c_2643]) ).
tff(c_2623,plain,
! [X_3,Y_4] : ( join(X_3,meet(Y_4,X_3)) = X_3 ),
inference(demodulation,[status(thm),theory(equality)],[c_2557,c_2293]) ).
tff(c_3218,plain,
! [X_96,Y_97] : ( join(meet(meet(X_96,Y_97),meet(X_96,join(X_96,Y_97))),meet(meet(X_96,Y_97),X_96)) = meet(X_96,Y_97) ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_22]) ).
tff(c_3289,plain,
! [X_3,Y_4] : ( join(meet(meet(X_3,meet(Y_4,X_3)),meet(X_3,X_3)),meet(meet(X_3,meet(Y_4,X_3)),X_3)) = meet(X_3,meet(Y_4,X_3)) ),
inference(superposition,[status(thm),theory(equality)],[c_2623,c_3218]) ).
tff(c_3375,plain,
! [Y_98,X_99] : ( meet(meet(Y_98,X_99),X_99) = meet(Y_98,X_99) ),
inference(demodulation,[status(thm),theory(equality)],[c_2685,c_2685,c_2557,c_2282,c_3289]) ).
tff(c_3498,plain,
! [X_100,Y_101] : ( meet(join(X_100,Y_101),X_100) = X_100 ),
inference(superposition,[status(thm),theory(equality)],[c_3375,c_155]) ).
tff(c_3582,plain,
! [X_1,Y_2] : ( meet(X_1,meet(X_1,Y_2)) = meet(X_1,Y_2) ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_3498]) ).
tff(c_4059,plain,
! [X_110,Z_111] : ( join(X_110,meet(X_110,join(meet(X_110,join(Z_111,X_110)),X_110))) = X_110 ),
inference(superposition,[status(thm),theory(equality)],[c_2442,c_115]) ).
tff(c_31,plain,
! [X_1,Y_2] : ( join(meet(meet(X_1,Y_2),meet(X_1,join(X_1,Y_2))),meet(meet(X_1,Y_2),X_1)) = meet(X_1,Y_2) ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_22]) ).
tff(c_4077,plain,
! [X_110,Z_111] : ( join(meet(meet(X_110,meet(X_110,join(meet(X_110,join(Z_111,X_110)),X_110))),meet(X_110,X_110)),meet(meet(X_110,meet(X_110,join(meet(X_110,join(Z_111,X_110)),X_110))),X_110)) = meet(X_110,meet(X_110,join(meet(X_110,join(Z_111,X_110)),X_110))) ),
inference(superposition,[status(thm),theory(equality)],[c_4059,c_31]) ).
tff(c_4169,plain,
! [X_112,Z_113] : ( meet(X_112,join(meet(X_112,join(Z_113,X_112)),X_112)) = X_112 ),
inference(demodulation,[status(thm),theory(equality)],[c_3582,c_1231,c_3582,c_2557,c_2282,c_4077]) ).
tff(c_4202,plain,
! [X_112,Z_113] : ( join(join(meet(X_112,join(Z_113,X_112)),X_112),X_112) = join(meet(X_112,join(Z_113,X_112)),X_112) ),
inference(superposition,[status(thm),theory(equality)],[c_4169,c_2623]) ).
tff(c_4305,plain,
! [X_114,Z_115] : ( join(meet(X_114,join(Z_115,X_114)),X_114) = X_114 ),
inference(demodulation,[status(thm),theory(equality)],[c_128,c_4202]) ).
tff(c_4355,plain,
! [X_114,Z_115] : ( join(meet(meet(X_114,join(Z_115,X_114)),X_114),meet(meet(X_114,join(Z_115,X_114)),X_114)) = meet(X_114,join(Z_115,X_114)) ),
inference(superposition,[status(thm),theory(equality)],[c_4305,c_2]) ).
tff(c_4428,plain,
! [X_116,Z_117] : ( meet(X_116,join(Z_117,X_116)) = X_116 ),
inference(demodulation,[status(thm),theory(equality)],[c_2557,c_1231,c_1231,c_4355]) ).
tff(c_4739,plain,
! [Z_122,X_123] : ( join(join(Z_122,X_123),X_123) = join(Z_122,X_123) ),
inference(superposition,[status(thm),theory(equality)],[c_4428,c_2623]) ).
tff(c_4814,plain,
! [X_1,Y_2] : ( join(meet(X_1,Y_2),meet(X_1,join(X_1,Y_2))) = join(X_1,meet(X_1,join(X_1,Y_2))) ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_4739]) ).
tff(c_4951,plain,
! [X_126,Y_127] : ( join(X_126,meet(X_126,join(X_126,Y_127))) = X_126 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_4814]) ).
tff(c_5027,plain,
! [X_1,Y_2] : ( join(meet(X_1,Y_2),meet(meet(X_1,Y_2),X_1)) = meet(X_1,Y_2) ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_4951]) ).
tff(c_8597,plain,
! [X_165,Y_166] : ( join(meet(X_165,Y_166),meet(meet(X_165,Y_166),X_165)) = meet(X_165,Y_166) ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_4951]) ).
tff(c_8615,plain,
! [X_165,Y_166] : ( join(meet(meet(X_165,Y_166),X_165),meet(join(meet(X_165,Y_166),meet(meet(X_165,Y_166),X_165)),X_165)) = join(meet(X_165,Y_166),meet(meet(X_165,Y_166),X_165)) ),
inference(superposition,[status(thm),theory(equality)],[c_8597,c_37]) ).
tff(c_8887,plain,
! [X_167,Y_168] : ( meet(meet(X_167,Y_168),X_167) = meet(X_167,Y_168) ),
inference(demodulation,[status(thm),theory(equality)],[c_5027,c_2557,c_5027,c_8615]) ).
tff(c_8967,plain,
! [X_167,Y_168] : ( join(X_167,meet(X_167,Y_168)) = X_167 ),
inference(superposition,[status(thm),theory(equality)],[c_8887,c_2623]) ).
tff(c_3422,plain,
! [X_99,Y_23] : ( meet(join(X_99,Y_23),X_99) = X_99 ),
inference(superposition,[status(thm),theory(equality)],[c_3375,c_155]) ).
tff(c_9090,plain,
! [X_169,Y_170] : ( join(X_169,meet(X_169,Y_170)) = X_169 ),
inference(superposition,[status(thm),theory(equality)],[c_8887,c_2623]) ).
tff(c_9238,plain,
! [X_99,Y_23] : ( join(join(X_99,Y_23),X_99) = join(X_99,Y_23) ),
inference(superposition,[status(thm),theory(equality)],[c_3422,c_9090]) ).
tff(c_4407,plain,
! [X_114,Z_115] : ( meet(X_114,join(Z_115,X_114)) = X_114 ),
inference(demodulation,[status(thm),theory(equality)],[c_2557,c_1231,c_1231,c_4355]) ).
tff(c_4474,plain,
! [Z_117,X_116,Z_24] : ( meet(meet(join(Z_117,X_116),join(Z_24,meet(X_116,join(Z_117,X_116)))),X_116) = meet(X_116,join(Z_117,X_116)) ),
inference(superposition,[status(thm),theory(equality)],[c_4428,c_134]) ).
tff(c_4528,plain,
! [Z_117,X_116,Z_24] : ( meet(meet(join(Z_117,X_116),join(Z_24,X_116)),X_116) = X_116 ),
inference(demodulation,[status(thm),theory(equality)],[c_4407,c_4407,c_4474]) ).
tff(c_9006,plain,
! [Z_117,X_116,Z_24] : ( meet(meet(join(Z_117,X_116),join(Z_24,X_116)),X_116) = meet(X_116,meet(join(Z_117,X_116),join(Z_24,X_116))) ),
inference(superposition,[status(thm),theory(equality)],[c_4528,c_8887]) ).
tff(c_10957,plain,
! [X_191,Z_192,Z_193] : ( meet(X_191,meet(join(Z_192,X_191),join(Z_193,X_191))) = X_191 ),
inference(demodulation,[status(thm),theory(equality)],[c_4528,c_9006]) ).
tff(c_15405,plain,
! [X_225,Z_226,Y_227] : ( meet(X_225,meet(join(Z_226,X_225),join(X_225,Y_227))) = X_225 ),
inference(superposition,[status(thm),theory(equality)],[c_9238,c_10957]) ).
tff(c_125,plain,
! [X_22,Z_12,Y_23,Z_24] : ( join(join(X_22,meet(Z_12,meet(join(X_22,Y_23),join(Z_24,X_22)))),meet(join(X_22,Y_23),join(Z_24,X_22))) = meet(join(X_22,Y_23),join(Z_24,X_22)) ),
inference(superposition,[status(thm),theory(equality)],[c_109,c_10]) ).
tff(c_15504,plain,
! [Y_227,X_225] : ( join(join(Y_227,X_225),meet(join(Y_227,X_225),join(X_225,Y_227))) = meet(join(Y_227,X_225),join(X_225,Y_227)) ),
inference(superposition,[status(thm),theory(equality)],[c_15405,c_125]) ).
tff(c_15722,plain,
! [Y_227,X_225] : ( meet(join(Y_227,X_225),join(X_225,Y_227)) = join(Y_227,X_225) ),
inference(demodulation,[status(thm),theory(equality)],[c_8967,c_15504]) ).
tff(c_40,plain,
! [X_18,Y_19] : ( join(meet(X_18,X_18),meet(Y_19,join(X_18,X_18))) = X_18 ),
inference(cnfTransformation,[status(thm)],[f_29]) ).
tff(c_46,plain,
! [X_18,Y_19] : ( join(meet(meet(X_18,X_18),meet(Y_19,join(X_18,X_18))),meet(meet(X_18,X_18),X_18)) = meet(X_18,X_18) ),
inference(superposition,[status(thm),theory(equality)],[c_40,c_2]) ).
tff(c_2702,plain,
! [X_18,Y_19] : ( join(meet(X_18,meet(Y_19,X_18)),X_18) = X_18 ),
inference(demodulation,[status(thm),theory(equality)],[c_2557,c_2282,c_2282,c_2282,c_2282,c_46]) ).
tff(c_2786,plain,
! [Y_19,X_18] : ( join(meet(Y_19,X_18),X_18) = X_18 ),
inference(demodulation,[status(thm),theory(equality)],[c_2685,c_2702]) ).
tff(c_16152,plain,
! [Y_231,X_232] : ( meet(join(Y_231,X_232),join(X_232,Y_231)) = join(Y_231,X_232) ),
inference(demodulation,[status(thm),theory(equality)],[c_8967,c_15504]) ).
tff(c_11224,plain,
! [Y_194,X_195] : ( meet(meet(Y_194,X_195),meet(X_195,Y_194)) = meet(X_195,Y_194) ),
inference(superposition,[status(thm),theory(equality)],[c_9090,c_134]) ).
tff(c_11248,plain,
! [Y_194,X_195] : ( join(meet(Y_194,X_195),meet(X_195,Y_194)) = meet(Y_194,X_195) ),
inference(superposition,[status(thm),theory(equality)],[c_11224,c_8967]) ).
tff(c_16174,plain,
! [X_232,Y_231] : ( join(meet(join(X_232,Y_231),join(Y_231,X_232)),join(Y_231,X_232)) = meet(join(X_232,Y_231),join(Y_231,X_232)) ),
inference(superposition,[status(thm),theory(equality)],[c_16152,c_11248]) ).
tff(c_16466,plain,
! [Y_231,X_232] : ( join(Y_231,X_232) = join(X_232,Y_231) ),
inference(demodulation,[status(thm),theory(equality)],[c_15722,c_2786,c_16174]) ).
tff(c_374,plain,
! [Y_34,Z_35,X_36] : ( meet(meet(Y_34,join(Z_35,meet(X_36,Y_34))),meet(X_36,Y_34)) = meet(X_36,Y_34) ),
inference(superposition,[status(thm),theory(equality)],[c_6,c_109]) ).
tff(c_438,plain,
! [X_7,Z_35,Y_8,Z_9] : ( meet(meet(X_7,join(Z_35,X_7)),meet(meet(join(X_7,Y_8),join(Z_9,X_7)),X_7)) = meet(meet(join(X_7,Y_8),join(Z_9,X_7)),X_7) ),
inference(superposition,[status(thm),theory(equality)],[c_8,c_374]) ).
tff(c_471,plain,
! [X_7,Z_35] : ( meet(meet(X_7,join(Z_35,X_7)),X_7) = X_7 ),
inference(demodulation,[status(thm),theory(equality)],[c_8,c_8,c_438]) ).
tff(c_183,plain,
! [X_27,Y_28] : ( meet(meet(join(X_27,Y_28),X_27),X_27) = X_27 ),
inference(superposition,[status(thm),theory(equality)],[c_10,c_109]) ).
tff(c_705,plain,
! [X_44,Y_45] : ( meet(meet(X_44,meet(X_44,Y_45)),meet(X_44,Y_45)) = meet(X_44,Y_45) ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_183]) ).
tff(c_772,plain,
! [X_7,Z_35] : ( meet(meet(meet(X_7,join(Z_35,X_7)),X_7),meet(meet(X_7,join(Z_35,X_7)),X_7)) = meet(meet(X_7,join(Z_35,X_7)),X_7) ),
inference(superposition,[status(thm),theory(equality)],[c_471,c_705]) ).
tff(c_824,plain,
! [X_7] : ( meet(X_7,X_7) = X_7 ),
inference(demodulation,[status(thm),theory(equality)],[c_471,c_471,c_471,c_772]) ).
tff(c_12,plain,
( ( join(b,a) != join(a,b) )
| ( join(a,a) != a )
| ( meet(b,a) != meet(a,b) )
| ( meet(a,a) != a ) ),
inference(cnfTransformation,[status(thm)],[f_47]) ).
tff(c_158,plain,
meet(a,a) != a,
inference(splitLeft,[status(thm)],[c_12]) ).
tff(c_845,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_824,c_158]) ).
tff(c_846,plain,
( ( meet(b,a) != meet(a,b) )
| ( join(a,a) != a )
| ( join(b,a) != join(a,b) ) ),
inference(splitRight,[status(thm)],[c_12]) ).
tff(c_958,plain,
join(b,a) != join(a,b),
inference(splitLeft,[status(thm)],[c_846]) ).
tff(c_16552,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_16466,c_958]) ).
tff(c_16553,plain,
( ( join(a,a) != a )
| ( meet(b,a) != meet(a,b) ) ),
inference(splitRight,[status(thm)],[c_846]) ).
tff(c_16665,plain,
meet(b,a) != meet(a,b),
inference(splitLeft,[status(thm)],[c_16553]) ).
tff(c_30755,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_30672,c_16665]) ).
tff(c_30756,plain,
join(a,a) != a,
inference(splitRight,[status(thm)],[c_16553]) ).
tff(c_847,plain,
meet(a,a) = a,
inference(splitRight,[status(thm)],[c_12]) ).
tff(c_867,plain,
! [X_46,Y_47] : ( join(join(meet(X_46,Y_47),X_46),X_46) = X_46 ),
inference(superposition,[status(thm),theory(equality)],[c_109,c_10]) ).
tff(c_888,plain,
join(join(a,a),a) = a,
inference(superposition,[status(thm),theory(equality)],[c_847,c_867]) ).
tff(c_903,plain,
join(meet(join(a,a),a),meet(a,a)) = a,
inference(superposition,[status(thm),theory(equality)],[c_888,c_6]) ).
tff(c_909,plain,
join(meet(join(a,a),a),a) = a,
inference(demodulation,[status(thm),theory(equality)],[c_847,c_903]) ).
tff(c_30995,plain,
join(meet(meet(join(a,a),a),a),meet(a,a)) = a,
inference(superposition,[status(thm),theory(equality)],[c_909,c_6]) ).
tff(c_31003,plain,
join(a,a) = a,
inference(demodulation,[status(thm),theory(equality)],[c_847,c_155,c_30995]) ).
tff(c_31005,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_30756,c_31003]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : LAT029-1 : TPTP v8.1.2. Released v2.2.0.
% 0.00/0.11 % 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
% 0.10/0.31 % Computer : n032.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Thu Aug 3 12:44:51 EDT 2023
% 0.10/0.31 % CPUTime :
% 13.74/4.84 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 13.74/4.86
% 13.74/4.86 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 13.74/4.90
% 13.74/4.90 Inference rules
% 13.74/4.90 ----------------------
% 13.74/4.90 #Ref : 0
% 13.74/4.90 #Sup : 7860
% 13.74/4.90 #Fact : 0
% 13.74/4.90 #Define : 0
% 13.74/4.90 #Split : 3
% 13.74/4.90 #Chain : 0
% 13.74/4.90 #Close : 0
% 13.74/4.90
% 13.74/4.90 Ordering : KBO
% 13.74/4.90
% 13.74/4.90 Simplification rules
% 13.74/4.90 ----------------------
% 13.74/4.90 #Subsume : 64
% 13.74/4.90 #Demod : 14322
% 13.74/4.91 #Tautology : 5202
% 13.74/4.91 #SimpNegUnit : 1
% 13.74/4.91 #BackRed : 75
% 13.74/4.91
% 13.74/4.91 #Partial instantiations: 0
% 13.74/4.91 #Strategies tried : 1
% 13.74/4.91
% 13.74/4.91 Timing (in seconds)
% 13.74/4.91 ----------------------
% 14.12/4.91 Preprocessing : 0.43
% 14.12/4.91 Parsing : 0.22
% 14.12/4.91 CNF conversion : 0.02
% 14.12/4.91 Main loop : 3.45
% 14.12/4.91 Inferencing : 1.00
% 14.12/4.91 Reduction : 1.85
% 14.12/4.91 Demodulation : 1.66
% 14.12/4.91 BG Simplification : 0.10
% 14.12/4.91 Subsumption : 0.32
% 14.12/4.91 Abstraction : 0.28
% 14.12/4.91 MUC search : 0.00
% 14.12/4.91 Cooper : 0.00
% 14.12/4.91 Total : 3.95
% 14.12/4.91 Index Insertion : 0.00
% 14.12/4.91 Index Deletion : 0.00
% 14.12/4.91 Index Matching : 0.00
% 14.12/4.91 BG Taut test : 0.00
%------------------------------------------------------------------------------