TSTP Solution File: REL042-2 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : REL042-2 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% Computer : n027.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 10:54:37 EDT 2023
% Result : Unsatisfiable 133.57s 110.54s
% Output : CNFRefutation 133.66s
% Verified :
% SZS Type : Refutation
% Derivation depth : 29
% Number of leaves : 25
% Syntax : Number of formulae : 143 ( 134 unt; 9 typ; 0 def)
% Number of atoms : 134 ( 133 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 8 ( 5 >; 3 *; 0 +; 0 <<)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 4 con; 0-2 aty)
% Number of variables : 193 (; 193 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ meet > join > composition > #nlpp > converse > complement > zero > top > sk1 > one
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(top,type,
top: $i ).
tff(sk1,type,
sk1: $i ).
tff(converse,type,
converse: $i > $i ).
tff(join,type,
join: ( $i * $i ) > $i ).
tff(composition,type,
composition: ( $i * $i ) > $i ).
tff(complement,type,
complement: $i > $i ).
tff(one,type,
one: $i ).
tff(meet,type,
meet: ( $i * $i ) > $i ).
tff(zero,type,
zero: $i ).
tff(f_49,axiom,
! [A,B] : ( join(A,B) = join(B,A) ),
file(unknown,unknown) ).
tff(f_109,axiom,
join(composition(converse(sk1),sk1),one) != one,
file(unknown,unknown) ).
tff(f_55,axiom,
! [A,B] : ( meet(A,B) = complement(join(complement(A),complement(B))) ),
file(unknown,unknown) ).
tff(f_73,axiom,
! [A] : ( zero = meet(A,complement(A)) ),
file(unknown,unknown) ).
tff(f_53,axiom,
! [A,B] : ( A = join(complement(join(complement(A),complement(B))),complement(join(complement(A),B))) ),
file(unknown,unknown) ).
tff(f_63,axiom,
! [A] : ( converse(converse(A)) = A ),
file(unknown,unknown) ).
tff(f_59,axiom,
! [A] : ( composition(A,one) = A ),
file(unknown,unknown) ).
tff(f_67,axiom,
! [A,B] : ( converse(composition(A,B)) = composition(converse(B),converse(A)) ),
file(unknown,unknown) ).
tff(f_57,axiom,
! [A,B,C] : ( composition(A,composition(B,C)) = composition(composition(A,B),C) ),
file(unknown,unknown) ).
tff(f_69,axiom,
! [A,B] : ( join(composition(converse(A),complement(composition(A,B))),complement(B)) = complement(B) ),
file(unknown,unknown) ).
tff(f_71,axiom,
! [A] : ( top = join(A,complement(A)) ),
file(unknown,unknown) ).
tff(f_51,axiom,
! [A,B,C] : ( join(A,join(B,C)) = join(join(A,B),C) ),
file(unknown,unknown) ).
tff(f_65,axiom,
! [A,B] : ( converse(join(A,B)) = join(converse(A),converse(B)) ),
file(unknown,unknown) ).
tff(f_61,axiom,
! [A,B,C] : ( composition(join(A,B),C) = join(composition(A,C),composition(B,C)) ),
file(unknown,unknown) ).
tff(f_107,axiom,
! [A] : ( meet(composition(sk1,A),composition(sk1,complement(A))) = zero ),
file(unknown,unknown) ).
tff(f_99,axiom,
! [A,B,C] : ( join(meet(composition(A,B),C),composition(meet(A,composition(C,converse(B))),meet(B,composition(converse(A),C)))) = composition(meet(A,composition(C,converse(B))),meet(B,composition(converse(A),C))) ),
file(unknown,unknown) ).
tff(c_2,plain,
! [B_2,A_1] : ( join(B_2,A_1) = join(A_1,B_2) ),
inference(cnfTransformation,[status(thm)],[f_49]) ).
tff(c_36,plain,
join(composition(converse(sk1),sk1),one) != one,
inference(cnfTransformation,[status(thm)],[f_109]) ).
tff(c_38,plain,
join(one,composition(converse(sk1),sk1)) != one,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_36]) ).
tff(c_8,plain,
! [A_8,B_9] : ( complement(join(complement(A_8),complement(B_9))) = meet(A_8,B_9) ),
inference(cnfTransformation,[status(thm)],[f_55]) ).
tff(c_26,plain,
! [A_25] : ( meet(A_25,complement(A_25)) = zero ),
inference(cnfTransformation,[status(thm)],[f_73]) ).
tff(c_6,plain,
! [A_6,B_7] : ( join(complement(join(complement(A_6),complement(B_7))),complement(join(complement(A_6),B_7))) = A_6 ),
inference(cnfTransformation,[status(thm)],[f_53]) ).
tff(c_825,plain,
! [A_67,B_68] : ( join(meet(A_67,B_68),complement(join(complement(A_67),B_68))) = A_67 ),
inference(demodulation,[status(thm),theory(equality)],[c_8,c_6]) ).
tff(c_903,plain,
! [A_25] : ( join(zero,complement(join(complement(A_25),complement(A_25)))) = A_25 ),
inference(superposition,[status(thm),theory(equality)],[c_26,c_825]) ).
tff(c_913,plain,
! [A_25] : ( join(zero,meet(A_25,A_25)) = A_25 ),
inference(demodulation,[status(thm),theory(equality)],[c_8,c_903]) ).
tff(c_16,plain,
! [A_17] : ( converse(converse(A_17)) = A_17 ),
inference(cnfTransformation,[status(thm)],[f_63]) ).
tff(c_12,plain,
! [A_13] : ( composition(A_13,one) = A_13 ),
inference(cnfTransformation,[status(thm)],[f_59]) ).
tff(c_263,plain,
! [B_46,A_47] : ( composition(converse(B_46),converse(A_47)) = converse(composition(A_47,B_46)) ),
inference(cnfTransformation,[status(thm)],[f_67]) ).
tff(c_2191,plain,
! [A_94,B_95] : ( converse(composition(converse(A_94),B_95)) = composition(converse(B_95),A_94) ),
inference(superposition,[status(thm),theory(equality)],[c_16,c_263]) ).
tff(c_2259,plain,
! [A_94] : ( composition(converse(one),A_94) = converse(converse(A_94)) ),
inference(superposition,[status(thm),theory(equality)],[c_12,c_2191]) ).
tff(c_2276,plain,
! [A_94] : ( composition(converse(one),A_94) = A_94 ),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_2259]) ).
tff(c_2278,plain,
! [A_96] : ( composition(converse(one),A_96) = A_96 ),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_2259]) ).
tff(c_528,plain,
! [A_55,B_56,C_57] : ( composition(composition(A_55,B_56),C_57) = composition(A_55,composition(B_56,C_57)) ),
inference(cnfTransformation,[status(thm)],[f_57]) ).
tff(c_550,plain,
! [A_13,C_57] : ( composition(A_13,composition(one,C_57)) = composition(A_13,C_57) ),
inference(superposition,[status(thm),theory(equality)],[c_12,c_528]) ).
tff(c_2328,plain,
! [C_57] : ( composition(converse(one),C_57) = composition(one,C_57) ),
inference(superposition,[status(thm),theory(equality)],[c_2278,c_550]) ).
tff(c_2365,plain,
! [C_57] : ( composition(one,C_57) = C_57 ),
inference(demodulation,[status(thm),theory(equality)],[c_2276,c_2328]) ).
tff(c_2339,plain,
converse(one) = one,
inference(superposition,[status(thm),theory(equality)],[c_2278,c_12]) ).
tff(c_2461,plain,
! [C_98] : ( composition(one,C_98) = C_98 ),
inference(demodulation,[status(thm),theory(equality)],[c_2276,c_2328]) ).
tff(c_22,plain,
! [A_22,B_23] : ( join(composition(converse(A_22),complement(composition(A_22,B_23))),complement(B_23)) = complement(B_23) ),
inference(cnfTransformation,[status(thm)],[f_69]) ).
tff(c_2488,plain,
! [C_98] : ( join(composition(converse(one),complement(C_98)),complement(C_98)) = complement(C_98) ),
inference(superposition,[status(thm),theory(equality)],[c_2461,c_22]) ).
tff(c_2765,plain,
! [C_102] : ( join(complement(C_102),complement(C_102)) = complement(C_102) ),
inference(demodulation,[status(thm),theory(equality)],[c_2365,c_2,c_2339,c_2488]) ).
tff(c_2786,plain,
! [C_102] : ( meet(C_102,C_102) = complement(complement(C_102)) ),
inference(superposition,[status(thm),theory(equality)],[c_2765,c_8]) ).
tff(c_24,plain,
! [A_24] : ( join(A_24,complement(A_24)) = top ),
inference(cnfTransformation,[status(thm)],[f_71]) ).
tff(c_112,plain,
! [A_42,B_43] : ( complement(join(complement(A_42),complement(B_43))) = meet(A_42,B_43) ),
inference(cnfTransformation,[status(thm)],[f_55]) ).
tff(c_146,plain,
! [A_42] : ( meet(A_42,complement(A_42)) = complement(top) ),
inference(superposition,[status(thm),theory(equality)],[c_24,c_112]) ).
tff(c_149,plain,
complement(top) = zero,
inference(demodulation,[status(thm),theory(equality)],[c_26,c_146]) ).
tff(c_670,plain,
! [A_62,B_63,C_64] : ( join(join(A_62,B_63),C_64) = join(A_62,join(B_63,C_64)) ),
inference(cnfTransformation,[status(thm)],[f_51]) ).
tff(c_728,plain,
! [A_62,B_63] : ( join(A_62,join(B_63,complement(join(A_62,B_63)))) = top ),
inference(superposition,[status(thm),theory(equality)],[c_24,c_670]) ).
tff(c_2771,plain,
! [C_102] : ( join(complement(C_102),join(complement(C_102),complement(complement(C_102)))) = top ),
inference(superposition,[status(thm),theory(equality)],[c_2765,c_728]) ).
tff(c_2959,plain,
! [C_104] : ( join(top,complement(C_104)) = top ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_24,c_2771]) ).
tff(c_3004,plain,
! [A_105] : ( join(A_105,top) = top ),
inference(superposition,[status(thm),theory(equality)],[c_2959,c_728]) ).
tff(c_360,plain,
! [A_50,B_51] : ( join(converse(A_50),converse(B_51)) = converse(join(A_50,B_51)) ),
inference(cnfTransformation,[status(thm)],[f_65]) ).
tff(c_1248,plain,
! [B_80,A_81] : ( join(converse(B_80),converse(A_81)) = converse(join(A_81,B_80)) ),
inference(superposition,[status(thm),theory(equality)],[c_360,c_2]) ).
tff(c_18,plain,
! [A_18,B_19] : ( join(converse(A_18),converse(B_19)) = converse(join(A_18,B_19)) ),
inference(cnfTransformation,[status(thm)],[f_65]) ).
tff(c_1288,plain,
! [B_82,A_83] : ( converse(join(B_82,A_83)) = converse(join(A_83,B_82)) ),
inference(superposition,[status(thm),theory(equality)],[c_1248,c_18]) ).
tff(c_1351,plain,
! [B_82,A_83] : ( converse(converse(join(B_82,A_83))) = join(A_83,B_82) ),
inference(superposition,[status(thm),theory(equality)],[c_1288,c_16]) ).
tff(c_3015,plain,
! [A_105] : ( join(top,A_105) = converse(converse(top)) ),
inference(superposition,[status(thm),theory(equality)],[c_3004,c_1351]) ).
tff(c_3063,plain,
! [A_105] : ( join(top,A_105) = top ),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_3015]) ).
tff(c_37,plain,
! [A_6,B_7] : ( join(meet(A_6,B_7),complement(join(complement(A_6),B_7))) = A_6 ),
inference(demodulation,[status(thm),theory(equality)],[c_8,c_6]) ).
tff(c_2777,plain,
! [C_102] : ( join(meet(C_102,complement(C_102)),complement(complement(C_102))) = C_102 ),
inference(superposition,[status(thm),theory(equality)],[c_2765,c_37]) ).
tff(c_3163,plain,
! [C_107] : ( join(zero,complement(complement(C_107))) = C_107 ),
inference(demodulation,[status(thm),theory(equality)],[c_26,c_2777]) ).
tff(c_156,plain,
! [A_8] : ( complement(join(complement(A_8),zero)) = meet(A_8,top) ),
inference(superposition,[status(thm),theory(equality)],[c_149,c_8]) ).
tff(c_165,plain,
! [A_8] : ( complement(join(zero,complement(A_8))) = meet(A_8,top) ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_156]) ).
tff(c_3457,plain,
! [C_112] : ( meet(complement(C_112),top) = complement(C_112) ),
inference(superposition,[status(thm),theory(equality)],[c_3163,c_165]) ).
tff(c_3463,plain,
! [C_112] : ( join(complement(C_112),complement(join(complement(complement(C_112)),top))) = complement(C_112) ),
inference(superposition,[status(thm),theory(equality)],[c_3457,c_37]) ).
tff(c_4153,plain,
! [C_121] : ( join(zero,complement(C_121)) = complement(C_121) ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_149,c_3063,c_2,c_3463]) ).
tff(c_4185,plain,
! [C_102] : ( join(zero,meet(C_102,C_102)) = complement(complement(C_102)) ),
inference(superposition,[status(thm),theory(equality)],[c_2786,c_4153]) ).
tff(c_4203,plain,
! [C_102] : ( complement(complement(C_102)) = C_102 ),
inference(demodulation,[status(thm),theory(equality)],[c_913,c_4185]) ).
tff(c_4308,plain,
! [C_122] : ( complement(complement(C_122)) = C_122 ),
inference(demodulation,[status(thm),theory(equality)],[c_913,c_4185]) ).
tff(c_399,plain,
! [B_52,A_53] : ( complement(join(complement(B_52),complement(A_53))) = meet(A_53,B_52) ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_112]) ).
tff(c_426,plain,
! [B_52,A_53] : ( meet(B_52,A_53) = meet(A_53,B_52) ),
inference(superposition,[status(thm),theory(equality)],[c_399,c_8]) ).
tff(c_2835,plain,
! [C_103] : ( meet(C_103,C_103) = complement(complement(C_103)) ),
inference(superposition,[status(thm),theory(equality)],[c_2765,c_8]) ).
tff(c_2920,plain,
! [C_103] : ( complement(join(zero,meet(C_103,C_103))) = meet(complement(C_103),top) ),
inference(superposition,[status(thm),theory(equality)],[c_2835,c_165]) ).
tff(c_2955,plain,
! [C_103] : ( meet(top,complement(C_103)) = complement(C_103) ),
inference(demodulation,[status(thm),theory(equality)],[c_913,c_426,c_2920]) ).
tff(c_4332,plain,
! [C_122] : ( complement(complement(C_122)) = meet(top,C_122) ),
inference(superposition,[status(thm),theory(equality)],[c_4308,c_2955]) ).
tff(c_4394,plain,
! [C_122] : ( meet(top,C_122) = C_122 ),
inference(demodulation,[status(thm),theory(equality)],[c_4203,c_4332]) ).
tff(c_2823,plain,
! [C_102] : ( join(zero,complement(complement(C_102))) = C_102 ),
inference(demodulation,[status(thm),theory(equality)],[c_26,c_2777]) ).
tff(c_4304,plain,
! [C_102] : ( join(zero,C_102) = C_102 ),
inference(demodulation,[status(thm),theory(equality)],[c_4203,c_2823]) ).
tff(c_2967,plain,
! [A_62] : ( join(A_62,top) = top ),
inference(superposition,[status(thm),theory(equality)],[c_2959,c_728]) ).
tff(c_3567,plain,
! [A_114,B_115] : ( converse(join(converse(A_114),B_115)) = join(A_114,converse(B_115)) ),
inference(superposition,[status(thm),theory(equality)],[c_16,c_360]) ).
tff(c_3770,plain,
! [A_117] : ( join(A_117,converse(top)) = converse(top) ),
inference(superposition,[status(thm),theory(equality)],[c_2967,c_3567]) ).
tff(c_3782,plain,
converse(top) = top,
inference(superposition,[status(thm),theory(equality)],[c_3770,c_3063]) ).
tff(c_275,plain,
! [A_17,B_46] : ( converse(composition(converse(A_17),B_46)) = composition(converse(B_46),A_17) ),
inference(superposition,[status(thm),theory(equality)],[c_16,c_263]) ).
tff(c_24533,plain,
! [B_277] : ( composition(converse(B_277),top) = converse(composition(top,B_277)) ),
inference(superposition,[status(thm),theory(equality)],[c_3782,c_275]) ).
tff(c_24602,plain,
converse(composition(top,top)) = composition(top,top),
inference(superposition,[status(thm),theory(equality)],[c_3782,c_24533]) ).
tff(c_20,plain,
! [B_21,A_20] : ( composition(converse(B_21),converse(A_20)) = converse(composition(A_20,B_21)) ),
inference(cnfTransformation,[status(thm)],[f_67]) ).
tff(c_1085,plain,
! [A_74,B_75] : ( join(composition(converse(A_74),complement(composition(A_74,B_75))),complement(B_75)) = complement(B_75) ),
inference(cnfTransformation,[status(thm)],[f_69]) ).
tff(c_1115,plain,
! [B_21,A_20] : ( join(composition(converse(converse(B_21)),complement(converse(composition(A_20,B_21)))),complement(converse(A_20))) = complement(converse(A_20)) ),
inference(superposition,[status(thm),theory(equality)],[c_20,c_1085]) ).
tff(c_23001,plain,
! [A_267,B_268] : ( join(complement(converse(A_267)),composition(B_268,complement(converse(composition(A_267,B_268))))) = complement(converse(A_267)) ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_16,c_1115]) ).
tff(c_23091,plain,
! [B_268] : ( join(complement(top),composition(B_268,complement(converse(composition(top,B_268))))) = complement(converse(top)) ),
inference(superposition,[status(thm),theory(equality)],[c_3782,c_23001]) ).
tff(c_23157,plain,
! [B_268] : ( composition(B_268,complement(converse(composition(top,B_268)))) = zero ),
inference(demodulation,[status(thm),theory(equality)],[c_4304,c_149,c_3782,c_149,c_23091]) ).
tff(c_24650,plain,
composition(top,complement(composition(top,top))) = zero,
inference(superposition,[status(thm),theory(equality)],[c_24602,c_23157]) ).
tff(c_1431,plain,
! [B_84,A_85] : ( converse(converse(join(B_84,A_85))) = join(A_85,B_84) ),
inference(superposition,[status(thm),theory(equality)],[c_1288,c_16]) ).
tff(c_1503,plain,
! [A_25] : ( join(meet(A_25,A_25),zero) = converse(converse(A_25)) ),
inference(superposition,[status(thm),theory(equality)],[c_913,c_1431]) ).
tff(c_1556,plain,
! [A_25] : ( join(meet(A_25,A_25),zero) = A_25 ),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_1503]) ).
tff(c_2865,plain,
! [C_103] : ( join(complement(complement(C_103)),zero) = C_103 ),
inference(superposition,[status(thm),theory(equality)],[c_2835,c_1556]) ).
tff(c_4303,plain,
! [C_103] : ( join(C_103,zero) = C_103 ),
inference(demodulation,[status(thm),theory(equality)],[c_4203,c_2865]) ).
tff(c_14,plain,
! [A_14,C_16,B_15] : ( join(composition(A_14,C_16),composition(B_15,C_16)) = composition(join(A_14,B_15),C_16) ),
inference(cnfTransformation,[status(thm)],[f_61]) ).
tff(c_24940,plain,
! [A_14] : ( join(composition(A_14,complement(composition(top,top))),zero) = composition(join(A_14,top),complement(composition(top,top))) ),
inference(superposition,[status(thm),theory(equality)],[c_24650,c_14]) ).
tff(c_24957,plain,
! [A_14] : ( composition(A_14,complement(composition(top,top))) = zero ),
inference(demodulation,[status(thm),theory(equality)],[c_24650,c_4303,c_2967,c_24940]) ).
tff(c_25163,plain,
! [A_281] : ( composition(A_281,complement(composition(top,top))) = zero ),
inference(demodulation,[status(thm),theory(equality)],[c_24650,c_4303,c_2967,c_24940]) ).
tff(c_10,plain,
! [A_10,B_11,C_12] : ( composition(composition(A_10,B_11),C_12) = composition(A_10,composition(B_11,C_12)) ),
inference(cnfTransformation,[status(thm)],[f_57]) ).
tff(c_25263,plain,
! [A_10,B_11] : ( composition(A_10,composition(B_11,complement(composition(top,top)))) = zero ),
inference(superposition,[status(thm),theory(equality)],[c_25163,c_10]) ).
tff(c_25308,plain,
! [A_10] : ( composition(A_10,zero) = zero ),
inference(demodulation,[status(thm),theory(equality)],[c_24957,c_25263]) ).
tff(c_171,plain,
! [A_44] : ( meet(composition(sk1,A_44),composition(sk1,complement(A_44))) = zero ),
inference(cnfTransformation,[status(thm)],[f_107]) ).
tff(c_185,plain,
meet(sk1,composition(sk1,complement(one))) = zero,
inference(superposition,[status(thm),theory(equality)],[c_12,c_171]) ).
tff(c_1859,plain,
! [A_91,B_92,C_93] : ( join(meet(composition(A_91,B_92),C_93),composition(meet(A_91,composition(C_93,converse(B_92))),meet(B_92,composition(converse(A_91),C_93)))) = composition(meet(A_91,composition(C_93,converse(B_92))),meet(B_92,composition(converse(A_91),C_93))) ),
inference(cnfTransformation,[status(thm)],[f_99]) ).
tff(c_1967,plain,
! [A_17,B_92,C_93] : ( join(meet(composition(converse(A_17),B_92),C_93),composition(meet(converse(A_17),composition(C_93,converse(B_92))),meet(B_92,composition(A_17,C_93)))) = composition(meet(converse(A_17),composition(C_93,converse(B_92))),meet(B_92,composition(converse(converse(A_17)),C_93))) ),
inference(superposition,[status(thm),theory(equality)],[c_16,c_1859]) ).
tff(c_31868,plain,
! [A_325,B_326,C_327] : ( join(meet(composition(converse(A_325),B_326),C_327),composition(meet(converse(A_325),composition(C_327,converse(B_326))),meet(B_326,composition(A_325,C_327)))) = composition(meet(converse(A_325),composition(C_327,converse(B_326))),meet(B_326,composition(A_325,C_327))) ),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_1967]) ).
tff(c_32283,plain,
join(meet(composition(converse(sk1),sk1),complement(one)),composition(meet(converse(sk1),composition(complement(one),converse(sk1))),zero)) = composition(meet(converse(sk1),composition(complement(one),converse(sk1))),meet(sk1,composition(sk1,complement(one)))),
inference(superposition,[status(thm),theory(equality)],[c_185,c_31868]) ).
tff(c_32397,plain,
meet(complement(one),composition(converse(sk1),sk1)) = zero,
inference(demodulation,[status(thm),theory(equality)],[c_25308,c_4304,c_2,c_25308,c_426,c_185,c_32283]) ).
tff(c_124,plain,
! [A_42,B_43] : ( join(join(complement(A_42),complement(B_43)),meet(A_42,B_43)) = top ),
inference(superposition,[status(thm),theory(equality)],[c_112,c_24]) ).
tff(c_69121,plain,
join(join(complement(complement(one)),complement(composition(converse(sk1),sk1))),zero) = top,
inference(superposition,[status(thm),theory(equality)],[c_32397,c_124]) ).
tff(c_69196,plain,
join(one,complement(composition(converse(sk1),sk1))) = top,
inference(demodulation,[status(thm),theory(equality)],[c_4304,c_2,c_4203,c_69121]) ).
tff(c_130,plain,
! [A_8,B_9,B_43] : ( meet(join(complement(A_8),complement(B_9)),B_43) = complement(join(meet(A_8,B_9),complement(B_43))) ),
inference(superposition,[status(thm),theory(equality)],[c_8,c_112]) ).
tff(c_885,plain,
! [A_8,B_9,B_68] : ( join(meet(join(complement(A_8),complement(B_9)),B_68),complement(join(meet(A_8,B_9),B_68))) = join(complement(A_8),complement(B_9)) ),
inference(superposition,[status(thm),theory(equality)],[c_8,c_825]) ).
tff(c_29424,plain,
! [A_314,B_315,B_316] : ( join(complement(join(meet(A_314,B_315),B_316)),complement(join(meet(A_314,B_315),complement(B_316)))) = join(complement(A_314),complement(B_315)) ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_130,c_885]) ).
tff(c_29902,plain,
! [A_314,B_315] : ( join(complement(join(meet(A_314,B_315),top)),complement(join(meet(A_314,B_315),zero))) = join(complement(A_314),complement(B_315)) ),
inference(superposition,[status(thm),theory(equality)],[c_149,c_29424]) ).
tff(c_199310,plain,
! [A_741,B_742] : ( join(complement(A_741),complement(B_742)) = complement(meet(A_741,B_742)) ),
inference(demodulation,[status(thm),theory(equality)],[c_4304,c_4304,c_149,c_3063,c_2,c_2,c_29902]) ).
tff(c_199900,plain,
! [C_102,B_742] : ( complement(meet(complement(C_102),B_742)) = join(C_102,complement(B_742)) ),
inference(superposition,[status(thm),theory(equality)],[c_4203,c_199310]) ).
tff(c_139,plain,
! [B_43,A_42] : ( complement(join(complement(B_43),complement(A_42))) = meet(A_42,B_43) ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_112]) ).
tff(c_4356,plain,
! [B_43,C_122] : ( complement(join(complement(B_43),C_122)) = meet(complement(C_122),B_43) ),
inference(superposition,[status(thm),theory(equality)],[c_4308,c_139]) ).
tff(c_2524,plain,
! [A_99,B_100] : ( join(A_99,join(B_100,complement(join(A_99,B_100)))) = top ),
inference(superposition,[status(thm),theory(equality)],[c_24,c_670]) ).
tff(c_2655,plain,
! [A_8,B_9] : ( join(complement(A_8),join(complement(B_9),meet(A_8,B_9))) = top ),
inference(superposition,[status(thm),theory(equality)],[c_8,c_2524]) ).
tff(c_2536,plain,
! [A_6,B_100] : ( join(meet(A_6,join(B_100,complement(join(complement(A_6),B_100)))),complement(top)) = A_6 ),
inference(superposition,[status(thm),theory(equality)],[c_2524,c_37]) ).
tff(c_106468,plain,
! [A_552,B_553] : ( join(zero,meet(A_552,join(B_553,complement(join(complement(A_552),B_553))))) = A_552 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_149,c_2536]) ).
tff(c_106710,plain,
! [A_8,B_9] : ( join(zero,meet(A_8,join(join(complement(B_9),meet(A_8,B_9)),complement(top)))) = A_8 ),
inference(superposition,[status(thm),theory(equality)],[c_2655,c_106468]) ).
tff(c_106980,plain,
! [A_8,B_9] : ( meet(A_8,join(complement(B_9),meet(A_8,B_9))) = A_8 ),
inference(demodulation,[status(thm),theory(equality)],[c_4304,c_4304,c_149,c_2,c_106710]) ).
tff(c_263729,plain,
! [C_872,B_873] : ( complement(meet(complement(C_872),B_873)) = join(C_872,complement(B_873)) ),
inference(superposition,[status(thm),theory(equality)],[c_4203,c_199310]) ).
tff(c_264170,plain,
! [C_872,B_9] : ( join(C_872,complement(join(complement(B_9),meet(complement(C_872),B_9)))) = complement(complement(C_872)) ),
inference(superposition,[status(thm),theory(equality)],[c_106980,c_263729]) ).
tff(c_459250,plain,
! [C_1153,B_1154] : ( join(C_1153,meet(B_1154,join(C_1153,complement(B_1154)))) = C_1153 ),
inference(demodulation,[status(thm),theory(equality)],[c_199900,c_426,c_4356,c_4203,c_264170]) ).
tff(c_460267,plain,
join(one,meet(composition(converse(sk1),sk1),top)) = one,
inference(superposition,[status(thm),theory(equality)],[c_69196,c_459250]) ).
tff(c_460660,plain,
join(one,composition(converse(sk1),sk1)) = one,
inference(demodulation,[status(thm),theory(equality)],[c_4394,c_426,c_460267]) ).
tff(c_460662,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_38,c_460660]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : REL042-2 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.13 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.13/0.34 % Computer : n027.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Thu Aug 3 16:02:24 EDT 2023
% 0.13/0.35 % CPUTime :
% 133.57/110.54 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 133.57/110.57
% 133.57/110.57 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 133.66/110.61
% 133.66/110.61 Inference rules
% 133.66/110.61 ----------------------
% 133.66/110.61 #Ref : 0
% 133.66/110.61 #Sup : 115693
% 133.66/110.61 #Fact : 0
% 133.66/110.61 #Define : 0
% 133.66/110.61 #Split : 0
% 133.66/110.61 #Chain : 0
% 133.66/110.61 #Close : 0
% 133.66/110.61
% 133.66/110.61 Ordering : KBO
% 133.66/110.61
% 133.66/110.61 Simplification rules
% 133.66/110.61 ----------------------
% 133.66/110.61 #Subsume : 1826
% 133.66/110.61 #Demod : 203339
% 133.66/110.61 #Tautology : 64525
% 133.66/110.61 #SimpNegUnit : 1
% 133.66/110.61 #BackRed : 98
% 133.66/110.61
% 133.66/110.61 #Partial instantiations: 0
% 133.66/110.61 #Strategies tried : 1
% 133.66/110.61
% 133.66/110.61 Timing (in seconds)
% 133.66/110.61 ----------------------
% 133.66/110.61 Preprocessing : 0.49
% 133.66/110.61 Parsing : 0.26
% 133.66/110.61 CNF conversion : 0.02
% 133.66/110.61 Main loop : 109.05
% 133.66/110.61 Inferencing : 6.01
% 133.66/110.61 Reduction : 81.90
% 133.66/110.61 Demodulation : 78.36
% 133.66/110.61 BG Simplification : 0.68
% 133.66/110.61 Subsumption : 15.52
% 133.66/110.61 Abstraction : 1.51
% 133.66/110.61 MUC search : 0.00
% 133.66/110.61 Cooper : 0.00
% 133.66/110.61 Total : 109.61
% 133.66/110.61 Index Insertion : 0.00
% 133.66/110.61 Index Deletion : 0.00
% 133.66/110.61 Index Matching : 0.00
% 133.66/110.61 BG Taut test : 0.00
%------------------------------------------------------------------------------