TSTP Solution File: REL018-1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : REL018-1 : 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/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 : n020.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 10:54:29 EDT 2023
% Result : Unsatisfiable 154.83s 132.98s
% Output : CNFRefutation 154.83s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 24
% Syntax : Number of formulae : 131 ( 122 unt; 9 typ; 0 def)
% Number of atoms : 122 ( 121 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 6 ( 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 : 157 (; 157 !; 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_76,axiom,
composition(complement(sk1),top) != complement(sk1),
file(unknown,unknown) ).
tff(f_53,axiom,
! [A,B] : ( meet(A,B) = complement(join(complement(A),complement(B))) ),
file(unknown,unknown) ).
tff(f_71,axiom,
! [A] : ( zero = meet(A,complement(A)) ),
file(unknown,unknown) ).
tff(f_51,axiom,
! [A,B] : ( A = join(complement(join(complement(A),complement(B))),complement(join(complement(A),B))) ),
file(unknown,unknown) ).
tff(f_61,axiom,
! [A] : ( converse(converse(A)) = A ),
file(unknown,unknown) ).
tff(f_57,axiom,
! [A] : ( composition(A,one) = A ),
file(unknown,unknown) ).
tff(f_65,axiom,
! [A,B] : ( converse(composition(A,B)) = composition(converse(B),converse(A)) ),
file(unknown,unknown) ).
tff(f_55,axiom,
! [A,B,C] : ( composition(A,composition(B,C)) = composition(composition(A,B),C) ),
file(unknown,unknown) ).
tff(f_47,axiom,
! [A,B] : ( join(A,B) = join(B,A) ),
file(unknown,unknown) ).
tff(f_67,axiom,
! [A,B] : ( join(composition(converse(A),complement(composition(A,B))),complement(B)) = complement(B) ),
file(unknown,unknown) ).
tff(f_69,axiom,
! [A] : ( top = join(A,complement(A)) ),
file(unknown,unknown) ).
tff(f_49,axiom,
! [A,B,C] : ( join(A,join(B,C)) = join(join(A,B),C) ),
file(unknown,unknown) ).
tff(f_63,axiom,
! [A,B] : ( converse(join(A,B)) = join(converse(A),converse(B)) ),
file(unknown,unknown) ).
tff(f_74,axiom,
composition(sk1,top) = sk1,
file(unknown,unknown) ).
tff(f_59,axiom,
! [A,B,C] : ( composition(join(A,B),C) = join(composition(A,C),composition(B,C)) ),
file(unknown,unknown) ).
tff(c_30,plain,
composition(complement(sk1),top) != complement(sk1),
inference(cnfTransformation,[status(thm)],[f_76]) ).
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_53]) ).
tff(c_26,plain,
! [A_25] : ( meet(A_25,complement(A_25)) = zero ),
inference(cnfTransformation,[status(thm)],[f_71]) ).
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_51]) ).
tff(c_536,plain,
! [A_51,B_52] : ( join(meet(A_51,B_52),complement(join(complement(A_51),B_52))) = A_51 ),
inference(demodulation,[status(thm),theory(equality)],[c_8,c_6]) ).
tff(c_586,plain,
! [A_25] : ( join(zero,complement(join(complement(A_25),complement(A_25)))) = A_25 ),
inference(superposition,[status(thm),theory(equality)],[c_26,c_536]) ).
tff(c_597,plain,
! [A_25] : ( join(zero,meet(A_25,A_25)) = A_25 ),
inference(demodulation,[status(thm),theory(equality)],[c_8,c_586]) ).
tff(c_16,plain,
! [A_17] : ( converse(converse(A_17)) = A_17 ),
inference(cnfTransformation,[status(thm)],[f_61]) ).
tff(c_12,plain,
! [A_13] : ( composition(A_13,one) = A_13 ),
inference(cnfTransformation,[status(thm)],[f_57]) ).
tff(c_174,plain,
! [B_36,A_37] : ( composition(converse(B_36),converse(A_37)) = converse(composition(A_37,B_36)) ),
inference(cnfTransformation,[status(thm)],[f_65]) ).
tff(c_1106,plain,
! [A_66,B_67] : ( converse(composition(converse(A_66),B_67)) = composition(converse(B_67),A_66) ),
inference(superposition,[status(thm),theory(equality)],[c_16,c_174]) ).
tff(c_1159,plain,
! [A_66] : ( composition(converse(one),A_66) = converse(converse(A_66)) ),
inference(superposition,[status(thm),theory(equality)],[c_12,c_1106]) ).
tff(c_1172,plain,
! [A_66] : ( composition(converse(one),A_66) = A_66 ),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_1159]) ).
tff(c_1174,plain,
! [A_68] : ( composition(converse(one),A_68) = A_68 ),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_1159]) ).
tff(c_408,plain,
! [A_44,B_45,C_46] : ( composition(composition(A_44,B_45),C_46) = composition(A_44,composition(B_45,C_46)) ),
inference(cnfTransformation,[status(thm)],[f_55]) ).
tff(c_430,plain,
! [A_13,C_46] : ( composition(A_13,composition(one,C_46)) = composition(A_13,C_46) ),
inference(superposition,[status(thm),theory(equality)],[c_12,c_408]) ).
tff(c_1197,plain,
! [C_46] : ( composition(converse(one),C_46) = composition(one,C_46) ),
inference(superposition,[status(thm),theory(equality)],[c_1174,c_430]) ).
tff(c_1227,plain,
! [C_46] : ( composition(one,C_46) = C_46 ),
inference(demodulation,[status(thm),theory(equality)],[c_1172,c_1197]) ).
tff(c_2,plain,
! [B_2,A_1] : ( join(B_2,A_1) = join(A_1,B_2) ),
inference(cnfTransformation,[status(thm)],[f_47]) ).
tff(c_1208,plain,
converse(one) = one,
inference(superposition,[status(thm),theory(equality)],[c_1174,c_12]) ).
tff(c_1271,plain,
! [C_69] : ( composition(one,C_69) = C_69 ),
inference(demodulation,[status(thm),theory(equality)],[c_1172,c_1197]) ).
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_67]) ).
tff(c_1277,plain,
! [C_69] : ( join(composition(converse(one),complement(C_69)),complement(C_69)) = complement(C_69) ),
inference(superposition,[status(thm),theory(equality)],[c_1271,c_22]) ).
tff(c_2066,plain,
! [C_80] : ( join(complement(C_80),complement(C_80)) = complement(C_80) ),
inference(demodulation,[status(thm),theory(equality)],[c_1227,c_2,c_1208,c_1277]) ).
tff(c_2084,plain,
! [C_80] : ( meet(C_80,C_80) = complement(complement(C_80)) ),
inference(superposition,[status(thm),theory(equality)],[c_2066,c_8]) ).
tff(c_24,plain,
! [A_24] : ( join(A_24,complement(A_24)) = top ),
inference(cnfTransformation,[status(thm)],[f_69]) ).
tff(c_136,plain,
! [A_34,B_35] : ( complement(join(complement(A_34),complement(B_35))) = meet(A_34,B_35) ),
inference(cnfTransformation,[status(thm)],[f_53]) ).
tff(c_170,plain,
! [A_34] : ( meet(A_34,complement(A_34)) = complement(top) ),
inference(superposition,[status(thm),theory(equality)],[c_24,c_136]) ).
tff(c_173,plain,
complement(top) = zero,
inference(demodulation,[status(thm),theory(equality)],[c_26,c_170]) ).
tff(c_256,plain,
! [A_39,B_40,C_41] : ( join(join(A_39,B_40),C_41) = join(A_39,join(B_40,C_41)) ),
inference(cnfTransformation,[status(thm)],[f_49]) ).
tff(c_305,plain,
! [A_39,B_40] : ( join(A_39,join(B_40,complement(join(A_39,B_40)))) = top ),
inference(superposition,[status(thm),theory(equality)],[c_24,c_256]) ).
tff(c_2075,plain,
! [C_80] : ( join(complement(C_80),join(complement(C_80),complement(complement(C_80)))) = top ),
inference(superposition,[status(thm),theory(equality)],[c_2066,c_305]) ).
tff(c_2126,plain,
! [C_81] : ( join(top,complement(C_81)) = top ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_24,c_2075]) ).
tff(c_2167,plain,
! [A_82] : ( join(A_82,top) = top ),
inference(superposition,[status(thm),theory(equality)],[c_2126,c_305]) ).
tff(c_2222,plain,
! [B_2] : ( join(top,B_2) = top ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_2167]) ).
tff(c_31,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_2078,plain,
! [C_80] : ( join(meet(C_80,complement(C_80)),complement(complement(C_80))) = C_80 ),
inference(superposition,[status(thm),theory(equality)],[c_2066,c_31]) ).
tff(c_2405,plain,
! [C_85] : ( join(zero,complement(complement(C_85))) = C_85 ),
inference(demodulation,[status(thm),theory(equality)],[c_26,c_2078]) ).
tff(c_195,plain,
! [A_8] : ( complement(join(complement(A_8),zero)) = meet(A_8,top) ),
inference(superposition,[status(thm),theory(equality)],[c_173,c_8]) ).
tff(c_204,plain,
! [A_8] : ( complement(join(zero,complement(A_8))) = meet(A_8,top) ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_195]) ).
tff(c_2575,plain,
! [C_88] : ( meet(complement(C_88),top) = complement(C_88) ),
inference(superposition,[status(thm),theory(equality)],[c_2405,c_204]) ).
tff(c_2585,plain,
! [C_88] : ( join(complement(C_88),complement(join(complement(complement(C_88)),top))) = complement(C_88) ),
inference(superposition,[status(thm),theory(equality)],[c_2575,c_31]) ).
tff(c_2723,plain,
! [C_91] : ( join(zero,complement(C_91)) = complement(C_91) ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_173,c_2222,c_2,c_2585]) ).
tff(c_2755,plain,
! [C_80] : ( join(zero,meet(C_80,C_80)) = complement(complement(C_80)) ),
inference(superposition,[status(thm),theory(equality)],[c_2084,c_2723]) ).
tff(c_2770,plain,
! [C_80] : ( complement(complement(C_80)) = C_80 ),
inference(demodulation,[status(thm),theory(equality)],[c_597,c_2755]) ).
tff(c_2326,plain,
! [C_84] : ( meet(C_84,C_84) = complement(complement(C_84)) ),
inference(superposition,[status(thm),theory(equality)],[c_2066,c_8]) ).
tff(c_109,plain,
! [A_32,B_33] : ( join(converse(A_32),converse(B_33)) = converse(join(A_32,B_33)) ),
inference(cnfTransformation,[status(thm)],[f_63]) ).
tff(c_929,plain,
! [B_62,A_63] : ( join(converse(B_62),converse(A_63)) = converse(join(A_63,B_62)) ),
inference(superposition,[status(thm),theory(equality)],[c_109,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_63]) ).
tff(c_969,plain,
! [B_64,A_65] : ( converse(join(B_64,A_65)) = converse(join(A_65,B_64)) ),
inference(superposition,[status(thm),theory(equality)],[c_929,c_18]) ).
tff(c_1513,plain,
! [B_72,A_73] : ( converse(converse(join(B_72,A_73))) = join(A_73,B_72) ),
inference(superposition,[status(thm),theory(equality)],[c_969,c_16]) ).
tff(c_1594,plain,
! [A_25] : ( join(meet(A_25,A_25),zero) = converse(converse(A_25)) ),
inference(superposition,[status(thm),theory(equality)],[c_597,c_1513]) ).
tff(c_1640,plain,
! [A_25] : ( join(meet(A_25,A_25),zero) = A_25 ),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_1594]) ).
tff(c_2344,plain,
! [C_84] : ( join(complement(complement(C_84)),zero) = C_84 ),
inference(superposition,[status(thm),theory(equality)],[c_2326,c_1640]) ).
tff(c_2953,plain,
! [C_84] : ( join(C_84,zero) = C_84 ),
inference(demodulation,[status(thm),theory(equality)],[c_2770,c_2344]) ).
tff(c_2137,plain,
! [A_39] : ( join(A_39,top) = top ),
inference(superposition,[status(thm),theory(equality)],[c_2126,c_305]) ).
tff(c_1618,plain,
! [A_24] : ( join(complement(A_24),A_24) = converse(converse(top)) ),
inference(superposition,[status(thm),theory(equality)],[c_24,c_1513]) ).
tff(c_1647,plain,
! [A_24] : ( join(complement(A_24),A_24) = top ),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_1618]) ).
tff(c_4766,plain,
! [C_118,A_119,B_120] : ( join(C_118,join(A_119,B_120)) = join(A_119,join(B_120,C_118)) ),
inference(superposition,[status(thm),theory(equality)],[c_256,c_2]) ).
tff(c_5013,plain,
! [A_24,C_118] : ( join(complement(A_24),join(A_24,C_118)) = join(C_118,top) ),
inference(superposition,[status(thm),theory(equality)],[c_1647,c_4766]) ).
tff(c_5553,plain,
! [A_126,C_127] : ( join(complement(A_126),join(A_126,C_127)) = top ),
inference(demodulation,[status(thm),theory(equality)],[c_2137,c_5013]) ).
tff(c_5676,plain,
! [A_6,B_7] : ( join(complement(meet(A_6,B_7)),A_6) = top ),
inference(superposition,[status(thm),theory(equality)],[c_31,c_5553]) ).
tff(c_28,plain,
composition(sk1,top) = sk1,
inference(cnfTransformation,[status(thm)],[f_74]) ).
tff(c_632,plain,
! [A_54,C_55,B_56] : ( join(composition(A_54,C_55),composition(B_56,C_55)) = composition(join(A_54,B_56),C_55) ),
inference(cnfTransformation,[status(thm)],[f_59]) ).
tff(c_5190,plain,
! [B_121] : ( join(sk1,composition(B_121,top)) = composition(join(sk1,B_121),top) ),
inference(superposition,[status(thm),theory(equality)],[c_28,c_632]) ).
tff(c_5215,plain,
composition(join(sk1,one),top) = join(sk1,top),
inference(superposition,[status(thm),theory(equality)],[c_1227,c_5190]) ).
tff(c_5226,plain,
composition(join(one,sk1),top) = top,
inference(demodulation,[status(thm),theory(equality)],[c_2137,c_2,c_5215]) ).
tff(c_11546,plain,
! [B_183,C_184,A_185] : ( join(composition(B_183,C_184),composition(A_185,C_184)) = composition(join(A_185,B_183),C_184) ),
inference(superposition,[status(thm),theory(equality)],[c_632,c_2]) ).
tff(c_11637,plain,
! [A_185] : ( composition(join(A_185,join(one,sk1)),top) = join(top,composition(A_185,top)) ),
inference(superposition,[status(thm),theory(equality)],[c_5226,c_11546]) ).
tff(c_13087,plain,
! [A_196] : ( composition(join(A_196,join(one,sk1)),top) = top ),
inference(demodulation,[status(thm),theory(equality)],[c_2222,c_11637]) ).
tff(c_13133,plain,
composition(top,top) = top,
inference(superposition,[status(thm),theory(equality)],[c_5676,c_13087]) ).
tff(c_686,plain,
! [B_56] : ( join(sk1,composition(B_56,top)) = composition(join(sk1,B_56),top) ),
inference(superposition,[status(thm),theory(equality)],[c_28,c_632]) ).
tff(c_2115,plain,
! [C_80] : ( join(zero,complement(complement(C_80))) = C_80 ),
inference(demodulation,[status(thm),theory(equality)],[c_26,c_2078]) ).
tff(c_2954,plain,
! [C_80] : ( join(zero,C_80) = C_80 ),
inference(demodulation,[status(thm),theory(equality)],[c_2770,c_2115]) ).
tff(c_3304,plain,
! [B_99,A_100] : ( complement(join(complement(B_99),complement(A_100))) = meet(A_100,B_99) ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_136]) ).
tff(c_3398,plain,
! [B_99] : ( complement(join(complement(B_99),zero)) = meet(top,B_99) ),
inference(superposition,[status(thm),theory(equality)],[c_173,c_3304]) ).
tff(c_3430,plain,
! [B_99] : ( meet(top,B_99) = B_99 ),
inference(demodulation,[status(thm),theory(equality)],[c_2770,c_2954,c_2,c_3398]) ).
tff(c_22023,plain,
! [A_259,B_260,B_261] : ( meet(join(complement(A_259),complement(B_260)),B_261) = complement(join(meet(A_259,B_260),complement(B_261))) ),
inference(superposition,[status(thm),theory(equality)],[c_8,c_136]) ).
tff(c_22317,plain,
! [B_260,B_261] : ( complement(join(meet(top,B_260),complement(B_261))) = meet(join(zero,complement(B_260)),B_261) ),
inference(superposition,[status(thm),theory(equality)],[c_173,c_22023]) ).
tff(c_159527,plain,
! [B_666,B_667] : ( complement(join(B_666,complement(B_667))) = meet(complement(B_666),B_667) ),
inference(demodulation,[status(thm),theory(equality)],[c_3430,c_2954,c_22317]) ).
tff(c_159999,plain,
! [B_666,C_80] : ( meet(complement(B_666),complement(C_80)) = complement(join(B_666,C_80)) ),
inference(superposition,[status(thm),theory(equality)],[c_2770,c_159527]) ).
tff(c_2746,plain,
complement(zero) = top,
inference(superposition,[status(thm),theory(equality)],[c_2723,c_24]) ).
tff(c_3792,plain,
! [A_107,A_108] : ( converse(join(A_107,converse(A_108))) = join(converse(A_107),A_108) ),
inference(superposition,[status(thm),theory(equality)],[c_16,c_109]) ).
tff(c_3851,plain,
! [A_108] : ( join(converse(zero),A_108) = converse(converse(A_108)) ),
inference(superposition,[status(thm),theory(equality)],[c_2954,c_3792]) ).
tff(c_4118,plain,
! [A_112] : ( join(converse(zero),A_112) = A_112 ),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_3851]) ).
tff(c_4133,plain,
converse(zero) = zero,
inference(superposition,[status(thm),theory(equality)],[c_4118,c_2953]) ).
tff(c_767,plain,
! [A_58,B_59] : ( join(composition(converse(A_58),complement(composition(A_58,B_59))),complement(B_59)) = complement(B_59) ),
inference(cnfTransformation,[status(thm)],[f_67]) ).
tff(c_824,plain,
join(composition(converse(sk1),complement(sk1)),complement(top)) = complement(top),
inference(superposition,[status(thm),theory(equality)],[c_28,c_767]) ).
tff(c_833,plain,
join(zero,composition(converse(sk1),complement(sk1))) = zero,
inference(demodulation,[status(thm),theory(equality)],[c_173,c_2,c_173,c_824]) ).
tff(c_3188,plain,
! [C_98] : ( join(zero,C_98) = C_98 ),
inference(demodulation,[status(thm),theory(equality)],[c_2770,c_2115]) ).
tff(c_3267,plain,
composition(converse(sk1),complement(sk1)) = zero,
inference(superposition,[status(thm),theory(equality)],[c_833,c_3188]) ).
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_65]) ).
tff(c_13351,plain,
! [A_198,B_199] : ( join(composition(A_198,complement(composition(converse(A_198),B_199))),complement(B_199)) = complement(B_199) ),
inference(superposition,[status(thm),theory(equality)],[c_16,c_767]) ).
tff(c_517735,plain,
! [B_1233,A_1234] : ( join(composition(B_1233,complement(converse(composition(A_1234,B_1233)))),complement(converse(A_1234))) = complement(converse(A_1234)) ),
inference(superposition,[status(thm),theory(equality)],[c_20,c_13351]) ).
tff(c_518430,plain,
join(composition(complement(sk1),complement(converse(zero))),complement(converse(converse(sk1)))) = complement(converse(converse(sk1))),
inference(superposition,[status(thm),theory(equality)],[c_3267,c_517735]) ).
tff(c_518680,plain,
join(complement(sk1),composition(complement(sk1),top)) = complement(sk1),
inference(demodulation,[status(thm),theory(equality)],[c_2746,c_4133,c_2,c_16,c_16,c_518430]) ).
tff(c_160024,plain,
! [B_667,A_1] : ( complement(join(complement(B_667),A_1)) = meet(complement(A_1),B_667) ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_159527]) ).
tff(c_518913,plain,
meet(complement(composition(complement(sk1),top)),sk1) = complement(complement(sk1)),
inference(superposition,[status(thm),theory(equality)],[c_518680,c_160024]) ).
tff(c_519223,plain,
meet(complement(composition(complement(sk1),top)),sk1) = sk1,
inference(demodulation,[status(thm),theory(equality)],[c_2770,c_518913]) ).
tff(c_3358,plain,
! [B_99,A_100] : ( meet(B_99,A_100) = meet(A_100,B_99) ),
inference(superposition,[status(thm),theory(equality)],[c_3304,c_8]) ).
tff(c_3680,plain,
! [A_105,B_106] : ( join(meet(A_105,complement(B_106)),meet(A_105,B_106)) = A_105 ),
inference(superposition,[status(thm),theory(equality)],[c_8,c_536]) ).
tff(c_42066,plain,
! [A_357,B_358] : ( join(meet(A_357,B_358),meet(A_357,complement(B_358))) = A_357 ),
inference(superposition,[status(thm),theory(equality)],[c_3680,c_2]) ).
tff(c_42390,plain,
! [B_99,B_358] : ( join(meet(B_99,B_358),meet(complement(B_358),B_99)) = B_99 ),
inference(superposition,[status(thm),theory(equality)],[c_3358,c_42066]) ).
tff(c_520687,plain,
join(sk1,meet(complement(sk1),complement(composition(complement(sk1),top)))) = complement(composition(complement(sk1),top)),
inference(superposition,[status(thm),theory(equality)],[c_519223,c_42390]) ).
tff(c_520885,plain,
complement(composition(complement(sk1),top)) = sk1,
inference(demodulation,[status(thm),theory(equality)],[c_2953,c_173,c_13133,c_24,c_686,c_159999,c_520687]) ).
tff(c_521310,plain,
composition(complement(sk1),top) = complement(sk1),
inference(superposition,[status(thm),theory(equality)],[c_520885,c_2770]) ).
tff(c_521365,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_30,c_521310]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.15 % Problem : REL018-1 : TPTP v8.1.2. Released v4.0.0.
% 0.16/0.16 % 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
% 0.16/0.36 % Computer : n020.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37 % CPULimit : 300
% 0.16/0.37 % WCLimit : 300
% 0.16/0.37 % DateTime : Thu Aug 3 15:43:07 EDT 2023
% 0.16/0.37 % CPUTime :
% 154.83/132.98 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 154.83/133.00
% 154.83/133.00 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 154.83/133.04
% 154.83/133.04 Inference rules
% 154.83/133.04 ----------------------
% 154.83/133.04 #Ref : 0
% 154.83/133.04 #Sup : 131278
% 154.83/133.04 #Fact : 0
% 154.83/133.04 #Define : 0
% 154.83/133.04 #Split : 0
% 154.83/133.04 #Chain : 0
% 154.83/133.04 #Close : 0
% 154.83/133.04
% 154.83/133.04 Ordering : KBO
% 154.83/133.04
% 154.83/133.04 Simplification rules
% 154.83/133.04 ----------------------
% 154.83/133.04 #Subsume : 2450
% 154.83/133.04 #Demod : 224533
% 154.83/133.04 #Tautology : 71951
% 154.83/133.04 #SimpNegUnit : 1
% 154.83/133.04 #BackRed : 92
% 154.83/133.04
% 154.83/133.04 #Partial instantiations: 0
% 154.83/133.04 #Strategies tried : 1
% 154.83/133.04
% 154.83/133.04 Timing (in seconds)
% 154.83/133.04 ----------------------
% 154.83/133.05 Preprocessing : 0.45
% 154.83/133.05 Parsing : 0.24
% 154.83/133.05 CNF conversion : 0.02
% 154.83/133.05 Main loop : 131.48
% 154.83/133.05 Inferencing : 6.30
% 154.83/133.05 Reduction : 99.00
% 154.83/133.05 Demodulation : 94.93
% 154.83/133.05 BG Simplification : 0.69
% 154.83/133.05 Subsumption : 18.72
% 154.83/133.05 Abstraction : 1.44
% 154.83/133.05 MUC search : 0.00
% 154.83/133.05 Cooper : 0.00
% 154.83/133.05 Total : 132.00
% 154.83/133.05 Index Insertion : 0.00
% 154.83/133.05 Index Deletion : 0.00
% 154.83/133.05 Index Matching : 0.00
% 154.83/133.05 BG Taut test : 0.00
%------------------------------------------------------------------------------