TSTP Solution File: REL004-1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : REL004-1 : 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 : n013.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 10:54:24 EDT 2023
% Result : Unsatisfiable 54.19s 43.20s
% Output : CNFRefutation 54.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 22
% Syntax : Number of formulae : 147 ( 138 unt; 9 typ; 0 def)
% Number of atoms : 138 ( 137 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 : 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 : 181 (; 181 !; 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_71,axiom,
! [A] : ( zero = meet(A,complement(A)) ),
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_53,axiom,
! [A,B] : ( meet(A,B) = complement(join(complement(A),complement(B))) ),
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_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_75,axiom,
converse(complement(sk1)) != complement(converse(sk1)),
file(unknown,unknown) ).
tff(c_26,plain,
! [A_25] : ( meet(A_25,complement(A_25)) = zero ),
inference(cnfTransformation,[status(thm)],[f_71]) ).
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_308,plain,
! [B_38,A_39] : ( composition(converse(B_38),converse(A_39)) = converse(composition(A_39,B_38)) ),
inference(cnfTransformation,[status(thm)],[f_65]) ).
tff(c_3368,plain,
! [A_95,B_96] : ( converse(composition(converse(A_95),B_96)) = composition(converse(B_96),A_95) ),
inference(superposition,[status(thm),theory(equality)],[c_16,c_308]) ).
tff(c_3462,plain,
! [A_95] : ( composition(converse(one),A_95) = converse(converse(A_95)) ),
inference(superposition,[status(thm),theory(equality)],[c_12,c_3368]) ).
tff(c_3478,plain,
! [A_95] : ( composition(converse(one),A_95) = A_95 ),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_3462]) ).
tff(c_3480,plain,
! [A_97] : ( composition(converse(one),A_97) = A_97 ),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_3462]) ).
tff(c_352,plain,
! [A_41,B_42,C_43] : ( composition(composition(A_41,B_42),C_43) = composition(A_41,composition(B_42,C_43)) ),
inference(cnfTransformation,[status(thm)],[f_55]) ).
tff(c_374,plain,
! [A_13,C_43] : ( composition(A_13,composition(one,C_43)) = composition(A_13,C_43) ),
inference(superposition,[status(thm),theory(equality)],[c_12,c_352]) ).
tff(c_3507,plain,
! [C_43] : ( composition(converse(one),C_43) = composition(one,C_43) ),
inference(superposition,[status(thm),theory(equality)],[c_3480,c_374]) ).
tff(c_3538,plain,
! [C_43] : ( composition(one,C_43) = C_43 ),
inference(demodulation,[status(thm),theory(equality)],[c_3478,c_3507]) ).
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_3518,plain,
converse(one) = one,
inference(superposition,[status(thm),theory(equality)],[c_3480,c_12]) ).
tff(c_3605,plain,
! [C_98] : ( composition(one,C_98) = C_98 ),
inference(demodulation,[status(thm),theory(equality)],[c_3478,c_3507]) ).
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_3617,plain,
! [C_98] : ( join(composition(converse(one),complement(C_98)),complement(C_98)) = complement(C_98) ),
inference(superposition,[status(thm),theory(equality)],[c_3605,c_22]) ).
tff(c_3650,plain,
! [C_99] : ( join(complement(C_99),complement(C_99)) = complement(C_99) ),
inference(demodulation,[status(thm),theory(equality)],[c_3538,c_2,c_3518,c_3617]) ).
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_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_29,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_3659,plain,
! [C_99] : ( join(meet(C_99,complement(C_99)),complement(complement(C_99))) = C_99 ),
inference(superposition,[status(thm),theory(equality)],[c_3650,c_29]) ).
tff(c_3893,plain,
! [C_101] : ( join(zero,complement(complement(C_101))) = C_101 ),
inference(demodulation,[status(thm),theory(equality)],[c_26,c_3659]) ).
tff(c_24,plain,
! [A_24] : ( join(A_24,complement(A_24)) = top ),
inference(cnfTransformation,[status(thm)],[f_69]) ).
tff(c_103,plain,
! [A_32,B_33] : ( complement(join(complement(A_32),complement(B_33))) = meet(A_32,B_33) ),
inference(cnfTransformation,[status(thm)],[f_53]) ).
tff(c_137,plain,
! [A_32] : ( meet(A_32,complement(A_32)) = complement(top) ),
inference(superposition,[status(thm),theory(equality)],[c_24,c_103]) ).
tff(c_140,plain,
complement(top) = zero,
inference(demodulation,[status(thm),theory(equality)],[c_26,c_137]) ).
tff(c_147,plain,
! [A_8] : ( complement(join(complement(A_8),zero)) = meet(A_8,top) ),
inference(superposition,[status(thm),theory(equality)],[c_140,c_8]) ).
tff(c_156,plain,
! [A_8] : ( complement(join(zero,complement(A_8))) = meet(A_8,top) ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_147]) ).
tff(c_3911,plain,
! [C_101] : ( meet(complement(C_101),top) = complement(C_101) ),
inference(superposition,[status(thm),theory(equality)],[c_3893,c_156]) ).
tff(c_3637,plain,
! [C_98] : ( join(complement(C_98),complement(C_98)) = complement(C_98) ),
inference(demodulation,[status(thm),theory(equality)],[c_3538,c_2,c_3518,c_3617]) ).
tff(c_627,plain,
! [A_52,B_53,C_54] : ( join(join(A_52,B_53),C_54) = join(A_52,join(B_53,C_54)) ),
inference(cnfTransformation,[status(thm)],[f_49]) ).
tff(c_4022,plain,
! [A_103,C_104] : ( join(A_103,join(complement(A_103),C_104)) = join(top,C_104) ),
inference(superposition,[status(thm),theory(equality)],[c_24,c_627]) ).
tff(c_4071,plain,
! [C_98] : ( join(top,complement(C_98)) = join(C_98,complement(C_98)) ),
inference(superposition,[status(thm),theory(equality)],[c_3637,c_4022]) ).
tff(c_4127,plain,
! [C_105] : ( join(top,complement(C_105)) = top ),
inference(demodulation,[status(thm),theory(equality)],[c_24,c_4071]) ).
tff(c_162,plain,
! [A_34,B_35] : ( join(converse(A_34),converse(B_35)) = converse(join(A_34,B_35)) ),
inference(cnfTransformation,[status(thm)],[f_63]) ).
tff(c_471,plain,
! [B_48,A_49] : ( join(converse(B_48),converse(A_49)) = converse(join(A_49,B_48)) ),
inference(superposition,[status(thm),theory(equality)],[c_162,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_514,plain,
! [B_50,A_51] : ( converse(join(B_50,A_51)) = converse(join(A_51,B_50)) ),
inference(superposition,[status(thm),theory(equality)],[c_471,c_18]) ).
tff(c_574,plain,
! [A_51,B_50] : ( converse(converse(join(A_51,B_50))) = join(B_50,A_51) ),
inference(superposition,[status(thm),theory(equality)],[c_514,c_16]) ).
tff(c_4132,plain,
! [C_105] : ( join(complement(C_105),top) = converse(converse(top)) ),
inference(superposition,[status(thm),theory(equality)],[c_4127,c_574]) ).
tff(c_4165,plain,
! [C_106] : ( join(complement(C_106),top) = top ),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_4132]) ).
tff(c_4173,plain,
! [C_106] : ( join(meet(C_106,top),complement(top)) = C_106 ),
inference(superposition,[status(thm),theory(equality)],[c_4165,c_29]) ).
tff(c_4804,plain,
! [C_113] : ( join(zero,meet(C_113,top)) = C_113 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_140,c_4173]) ).
tff(c_5002,plain,
! [C_116] : ( join(zero,complement(C_116)) = complement(C_116) ),
inference(superposition,[status(thm),theory(equality)],[c_3911,c_4804]) ).
tff(c_3709,plain,
! [C_99] : ( join(zero,complement(complement(C_99))) = C_99 ),
inference(demodulation,[status(thm),theory(equality)],[c_26,c_3659]) ).
tff(c_5015,plain,
! [C_99] : ( complement(complement(C_99)) = C_99 ),
inference(superposition,[status(thm),theory(equality)],[c_5002,c_3709]) ).
tff(c_3724,plain,
! [C_100] : ( meet(C_100,C_100) = complement(complement(C_100)) ),
inference(superposition,[status(thm),theory(equality)],[c_3650,c_8]) ).
tff(c_1033,plain,
! [A_62,B_63] : ( join(meet(A_62,B_63),complement(join(complement(A_62),B_63))) = A_62 ),
inference(demodulation,[status(thm),theory(equality)],[c_8,c_6]) ).
tff(c_1099,plain,
! [A_25] : ( join(zero,complement(join(complement(A_25),complement(A_25)))) = A_25 ),
inference(superposition,[status(thm),theory(equality)],[c_26,c_1033]) ).
tff(c_1112,plain,
! [A_64] : ( join(zero,meet(A_64,A_64)) = A_64 ),
inference(demodulation,[status(thm),theory(equality)],[c_8,c_1099]) ).
tff(c_1121,plain,
! [A_64] : ( join(meet(A_64,A_64),zero) = converse(converse(A_64)) ),
inference(superposition,[status(thm),theory(equality)],[c_1112,c_574]) ).
tff(c_1129,plain,
! [A_64] : ( join(meet(A_64,A_64),zero) = A_64 ),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_1121]) ).
tff(c_3779,plain,
! [C_100] : ( join(complement(complement(C_100)),zero) = C_100 ),
inference(superposition,[status(thm),theory(equality)],[c_3724,c_1129]) ).
tff(c_5063,plain,
! [C_100] : ( join(C_100,zero) = C_100 ),
inference(demodulation,[status(thm),theory(equality)],[c_5015,c_3779]) ).
tff(c_5064,plain,
! [C_99] : ( join(zero,C_99) = C_99 ),
inference(demodulation,[status(thm),theory(equality)],[c_5015,c_3709]) ).
tff(c_150,plain,
join(top,zero) = top,
inference(superposition,[status(thm),theory(equality)],[c_140,c_24]) ).
tff(c_990,plain,
! [C_61] : ( join(top,join(zero,C_61)) = join(top,C_61) ),
inference(superposition,[status(thm),theory(equality)],[c_150,c_627]) ).
tff(c_1017,plain,
join(top,complement(zero)) = join(top,top),
inference(superposition,[status(thm),theory(equality)],[c_24,c_990]) ).
tff(c_193,plain,
! [A_36] : ( complement(join(zero,complement(A_36))) = meet(A_36,top) ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_147]) ).
tff(c_227,plain,
meet(zero,top) = complement(top),
inference(superposition,[status(thm),theory(equality)],[c_24,c_193]) ).
tff(c_230,plain,
meet(zero,top) = zero,
inference(demodulation,[status(thm),theory(equality)],[c_140,c_227]) ).
tff(c_1069,plain,
join(zero,complement(join(complement(zero),top))) = zero,
inference(superposition,[status(thm),theory(equality)],[c_230,c_1033]) ).
tff(c_1108,plain,
join(zero,complement(join(top,top))) = zero,
inference(demodulation,[status(thm),theory(equality)],[c_1017,c_2,c_1069]) ).
tff(c_673,plain,
! [C_54] : ( join(top,join(zero,C_54)) = join(top,C_54) ),
inference(superposition,[status(thm),theory(equality)],[c_150,c_627]) ).
tff(c_1240,plain,
join(top,complement(join(top,top))) = join(top,zero),
inference(superposition,[status(thm),theory(equality)],[c_1108,c_673]) ).
tff(c_1255,plain,
join(top,complement(join(top,top))) = top,
inference(demodulation,[status(thm),theory(equality)],[c_150,c_1240]) ).
tff(c_1252,plain,
meet(join(top,top),top) = complement(zero),
inference(superposition,[status(thm),theory(equality)],[c_1108,c_156]) ).
tff(c_1401,plain,
join(complement(zero),complement(join(complement(join(top,top)),top))) = join(top,top),
inference(superposition,[status(thm),theory(equality)],[c_1252,c_29]) ).
tff(c_1410,plain,
join(top,top) = top,
inference(demodulation,[status(thm),theory(equality)],[c_24,c_140,c_2,c_1255,c_2,c_1401]) ).
tff(c_690,plain,
! [A_24,C_54] : ( join(A_24,join(complement(A_24),C_54)) = join(top,C_54) ),
inference(superposition,[status(thm),theory(equality)],[c_24,c_627]) ).
tff(c_4170,plain,
! [C_106] : ( join(top,top) = join(C_106,top) ),
inference(superposition,[status(thm),theory(equality)],[c_4165,c_690]) ).
tff(c_4239,plain,
! [C_107] : ( join(C_107,top) = top ),
inference(demodulation,[status(thm),theory(equality)],[c_1410,c_4170]) ).
tff(c_699,plain,
! [A_55,B_56] : ( converse(converse(join(A_55,B_56))) = join(B_56,A_55) ),
inference(superposition,[status(thm),theory(equality)],[c_514,c_16]) ).
tff(c_762,plain,
! [A_24] : ( join(complement(A_24),A_24) = converse(converse(top)) ),
inference(superposition,[status(thm),theory(equality)],[c_24,c_699]) ).
tff(c_778,plain,
! [A_24] : ( join(complement(A_24),A_24) = top ),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_762]) ).
tff(c_2012,plain,
! [A_78,A_79] : ( converse(join(A_78,converse(A_79))) = join(converse(A_78),A_79) ),
inference(superposition,[status(thm),theory(equality)],[c_16,c_162]) ).
tff(c_2064,plain,
! [A_79] : ( join(converse(complement(converse(A_79))),A_79) = converse(top) ),
inference(superposition,[status(thm),theory(equality)],[c_778,c_2012]) ).
tff(c_4252,plain,
converse(top) = top,
inference(superposition,[status(thm),theory(equality)],[c_4239,c_2064]) ).
tff(c_2323,plain,
! [A_83,B_84] : ( converse(join(converse(A_83),B_84)) = join(A_83,converse(B_84)) ),
inference(superposition,[status(thm),theory(equality)],[c_16,c_162]) ).
tff(c_2429,plain,
! [A_83] : ( join(A_83,converse(complement(converse(A_83)))) = converse(top) ),
inference(superposition,[status(thm),theory(equality)],[c_24,c_2323]) ).
tff(c_9699,plain,
! [A_164] : ( join(A_164,converse(complement(converse(A_164)))) = top ),
inference(demodulation,[status(thm),theory(equality)],[c_4252,c_2429]) ).
tff(c_9767,plain,
! [A_6] : ( join(meet(A_6,converse(complement(converse(complement(A_6))))),complement(top)) = A_6 ),
inference(superposition,[status(thm),theory(equality)],[c_9699,c_29]) ).
tff(c_9871,plain,
! [A_6] : ( meet(A_6,converse(complement(converse(complement(A_6))))) = A_6 ),
inference(demodulation,[status(thm),theory(equality)],[c_5064,c_2,c_140,c_9767]) ).
tff(c_5070,plain,
! [C_117] : ( complement(complement(C_117)) = C_117 ),
inference(superposition,[status(thm),theory(equality)],[c_5002,c_3709]) ).
tff(c_144,plain,
! [B_9] : ( complement(join(zero,complement(B_9))) = meet(top,B_9) ),
inference(superposition,[status(thm),theory(equality)],[c_140,c_8]) ).
tff(c_3908,plain,
! [C_101] : ( meet(top,complement(C_101)) = complement(C_101) ),
inference(superposition,[status(thm),theory(equality)],[c_3893,c_144]) ).
tff(c_5088,plain,
! [C_117] : ( complement(complement(C_117)) = meet(top,C_117) ),
inference(superposition,[status(thm),theory(equality)],[c_5070,c_3908]) ).
tff(c_5150,plain,
! [C_117] : ( meet(top,C_117) = C_117 ),
inference(demodulation,[status(thm),theory(equality)],[c_5015,c_5088]) ).
tff(c_2808,plain,
! [B_88,A_89] : ( complement(join(complement(B_88),complement(A_89))) = meet(A_89,B_88) ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_103]) ).
tff(c_2862,plain,
! [B_88,A_89] : ( meet(B_88,A_89) = meet(A_89,B_88) ),
inference(superposition,[status(thm),theory(equality)],[c_2808,c_8]) ).
tff(c_6007,plain,
! [A_128,A_129] : ( join(meet(A_128,A_129),complement(join(A_129,complement(A_128)))) = A_128 ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_1033]) ).
tff(c_6108,plain,
! [B_9,A_8] : ( join(meet(B_9,complement(A_8)),meet(A_8,B_9)) = B_9 ),
inference(superposition,[status(thm),theory(equality)],[c_8,c_6007]) ).
tff(c_4221,plain,
! [C_106] : ( join(C_106,top) = top ),
inference(demodulation,[status(thm),theory(equality)],[c_1410,c_4170]) ).
tff(c_6294,plain,
! [B_132,A_133,B_134] : ( join(B_132,join(A_133,B_134)) = join(A_133,join(B_134,B_132)) ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_627]) ).
tff(c_6639,plain,
! [A_24,A_133] : ( join(complement(A_24),join(A_133,A_24)) = join(A_133,top) ),
inference(superposition,[status(thm),theory(equality)],[c_24,c_6294]) ).
tff(c_7529,plain,
! [A_142,A_143] : ( join(complement(A_142),join(A_143,A_142)) = top ),
inference(demodulation,[status(thm),theory(equality)],[c_4221,c_6639]) ).
tff(c_66477,plain,
! [B_434,A_435] : ( join(complement(converse(B_434)),converse(join(A_435,B_434))) = top ),
inference(superposition,[status(thm),theory(equality)],[c_18,c_7529]) ).
tff(c_160464,plain,
! [A_654,B_655] : ( join(complement(converse(meet(A_654,B_655))),converse(B_655)) = top ),
inference(superposition,[status(thm),theory(equality)],[c_6108,c_66477]) ).
tff(c_160933,plain,
! [A_6] : ( join(complement(converse(A_6)),converse(converse(complement(converse(complement(A_6)))))) = top ),
inference(superposition,[status(thm),theory(equality)],[c_9871,c_160464]) ).
tff(c_234250,plain,
! [A_810] : ( join(complement(converse(A_810)),complement(converse(complement(A_810)))) = top ),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_160933]) ).
tff(c_121,plain,
! [A_8,B_9,B_33] : ( meet(join(complement(A_8),complement(B_9)),B_33) = complement(join(meet(A_8,B_9),complement(B_33))) ),
inference(superposition,[status(thm),theory(equality)],[c_8,c_103]) ).
tff(c_1081,plain,
! [A_8,B_9,B_63] : ( join(meet(join(complement(A_8),complement(B_9)),B_63),complement(join(meet(A_8,B_9),B_63))) = join(complement(A_8),complement(B_9)) ),
inference(superposition,[status(thm),theory(equality)],[c_8,c_1033]) ).
tff(c_22647,plain,
! [A_275,B_276,B_277] : ( join(complement(join(meet(A_275,B_276),B_277)),complement(join(meet(A_275,B_276),complement(B_277)))) = join(complement(A_275),complement(B_276)) ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_121,c_1081]) ).
tff(c_22990,plain,
! [A_275,B_276] : ( join(complement(top),complement(join(meet(A_275,B_276),complement(top)))) = join(complement(A_275),complement(B_276)) ),
inference(superposition,[status(thm),theory(equality)],[c_4221,c_22647]) ).
tff(c_200257,plain,
! [A_740,B_741] : ( join(complement(A_740),complement(B_741)) = complement(meet(A_740,B_741)) ),
inference(demodulation,[status(thm),theory(equality)],[c_5064,c_5064,c_140,c_140,c_2,c_22990]) ).
tff(c_200877,plain,
! [B_741,A_740] : ( join(complement(B_741),complement(A_740)) = complement(meet(A_740,B_741)) ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_200257]) ).
tff(c_234270,plain,
! [A_810] : ( complement(meet(converse(complement(A_810)),converse(A_810))) = top ),
inference(superposition,[status(thm),theory(equality)],[c_234250,c_200877]) ).
tff(c_234858,plain,
! [A_811] : ( complement(meet(converse(A_811),converse(complement(A_811)))) = top ),
inference(demodulation,[status(thm),theory(equality)],[c_2862,c_234270]) ).
tff(c_23150,plain,
! [A_275,B_276] : ( join(complement(A_275),complement(B_276)) = complement(meet(A_275,B_276)) ),
inference(demodulation,[status(thm),theory(equality)],[c_5064,c_5064,c_140,c_140,c_2,c_22990]) ).
tff(c_7085,plain,
! [A_138,B_139] : ( meet(join(complement(A_138),complement(B_139)),meet(A_138,B_139)) = zero ),
inference(superposition,[status(thm),theory(equality)],[c_103,c_26]) ).
tff(c_7181,plain,
! [B_139,A_138] : ( meet(join(complement(B_139),complement(A_138)),meet(A_138,B_139)) = zero ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_7085]) ).
tff(c_200243,plain,
! [B_139,A_138] : ( meet(complement(meet(B_139,A_138)),meet(A_138,B_139)) = zero ),
inference(demodulation,[status(thm),theory(equality)],[c_23150,c_7181]) ).
tff(c_234899,plain,
! [A_811] : ( meet(top,meet(converse(complement(A_811)),converse(A_811))) = zero ),
inference(superposition,[status(thm),theory(equality)],[c_234858,c_200243]) ).
tff(c_241379,plain,
! [A_816] : ( meet(converse(A_816),converse(complement(A_816))) = zero ),
inference(demodulation,[status(thm),theory(equality)],[c_5150,c_2862,c_234899]) ).
tff(c_241883,plain,
! [A_817] : ( meet(A_817,converse(complement(converse(A_817)))) = zero ),
inference(superposition,[status(thm),theory(equality)],[c_16,c_241379]) ).
tff(c_33218,plain,
! [B_330,A_331] : ( join(meet(B_330,complement(A_331)),meet(A_331,B_330)) = B_330 ),
inference(superposition,[status(thm),theory(equality)],[c_8,c_6007]) ).
tff(c_69527,plain,
! [A_444,A_445] : ( join(meet(complement(A_444),A_445),meet(A_444,A_445)) = A_445 ),
inference(superposition,[status(thm),theory(equality)],[c_2862,c_33218]) ).
tff(c_70015,plain,
! [A_444,A_445] : ( join(meet(A_444,A_445),meet(complement(A_444),A_445)) = A_445 ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_69527]) ).
tff(c_242114,plain,
! [A_444] : ( join(meet(A_444,converse(complement(converse(complement(A_444))))),zero) = converse(complement(converse(complement(A_444)))) ),
inference(superposition,[status(thm),theory(equality)],[c_241883,c_70015]) ).
tff(c_242484,plain,
! [A_818] : ( converse(complement(converse(complement(A_818)))) = A_818 ),
inference(demodulation,[status(thm),theory(equality)],[c_5063,c_9871,c_242114]) ).
tff(c_243030,plain,
! [A_819] : ( complement(converse(complement(A_819))) = converse(A_819) ),
inference(superposition,[status(thm),theory(equality)],[c_242484,c_16]) ).
tff(c_243438,plain,
! [C_99] : ( converse(complement(C_99)) = complement(converse(C_99)) ),
inference(superposition,[status(thm),theory(equality)],[c_5015,c_243030]) ).
tff(c_28,plain,
converse(complement(sk1)) != complement(converse(sk1)),
inference(cnfTransformation,[status(thm)],[f_75]) ).
tff(c_249979,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_243438,c_28]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : REL004-1 : TPTP v8.1.2. Released v4.0.0.
% 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
% 0.15/0.36 % Computer : n013.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Thu Aug 3 15:31:47 EDT 2023
% 0.15/0.36 % CPUTime :
% 54.19/43.20 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 54.19/43.23
% 54.19/43.23 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 54.36/43.29
% 54.36/43.29 Inference rules
% 54.36/43.29 ----------------------
% 54.36/43.29 #Ref : 0
% 54.36/43.29 #Sup : 62472
% 54.36/43.29 #Fact : 0
% 54.36/43.29 #Define : 0
% 54.36/43.29 #Split : 0
% 54.36/43.29 #Chain : 0
% 54.36/43.29 #Close : 0
% 54.36/43.29
% 54.36/43.29 Ordering : KBO
% 54.36/43.29
% 54.36/43.29 Simplification rules
% 54.36/43.29 ----------------------
% 54.36/43.29 #Subsume : 881
% 54.36/43.29 #Demod : 109863
% 54.36/43.29 #Tautology : 39116
% 54.36/43.29 #SimpNegUnit : 0
% 54.36/43.29 #BackRed : 130
% 54.36/43.29
% 54.36/43.29 #Partial instantiations: 0
% 54.36/43.29 #Strategies tried : 1
% 54.36/43.29
% 54.36/43.29 Timing (in seconds)
% 54.36/43.29 ----------------------
% 54.36/43.29 Preprocessing : 0.47
% 54.36/43.29 Parsing : 0.25
% 54.36/43.29 CNF conversion : 0.02
% 54.36/43.29 Main loop : 41.60
% 54.36/43.29 Inferencing : 2.89
% 54.36/43.29 Reduction : 30.27
% 54.36/43.29 Demodulation : 28.80
% 54.36/43.29 BG Simplification : 0.28
% 54.36/43.29 Subsumption : 6.49
% 54.36/43.29 Abstraction : 0.55
% 54.36/43.29 MUC search : 0.00
% 54.36/43.29 Cooper : 0.00
% 54.36/43.29 Total : 42.17
% 54.36/43.29 Index Insertion : 0.00
% 54.36/43.29 Index Deletion : 0.00
% 54.36/43.29 Index Matching : 0.00
% 54.36/43.29 BG Taut test : 0.00
%------------------------------------------------------------------------------