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/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 : n019.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 : Theorem 52.81s 41.82s
% Output : CNFRefutation 52.96s
% 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 : 182 (; 182 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ meet > join > composition > #nlpp > converse > complement > zero > top > one > #skF_1
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(top,type,
top: $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('#skF_1',type,
'#skF_1': $i ).
tff(one,type,
one: $i ).
tff(meet,type,
meet: ( $i * $i ) > $i ).
tff(zero,type,
zero: $i ).
tff(f_80,axiom,
! [X0] : ( zero = meet(X0,complement(X0)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/REL001+0.ax',def_zero) ).
tff(f_69,axiom,
! [X0] : ( converse(converse(X0)) = X0 ),
file('/export/starexec/sandbox2/benchmark/Axioms/REL001+0.ax',converse_idempotence) ).
tff(f_64,axiom,
! [X0] : ( composition(X0,one) = X0 ),
file('/export/starexec/sandbox2/benchmark/Axioms/REL001+0.ax',composition_identity) ).
tff(f_73,axiom,
! [X0,X1] : ( converse(composition(X0,X1)) = composition(converse(X1),converse(X0)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/REL001+0.ax',converse_multiplicativity) ).
tff(f_62,axiom,
! [X0,X1,X2] : ( composition(X0,composition(X1,X2)) = composition(composition(X0,X1),X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/REL001+0.ax',composition_associativity) ).
tff(f_53,axiom,
! [X0,X1] : ( join(X0,X1) = join(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/REL001+0.ax',maddux1_join_commutativity) ).
tff(f_75,axiom,
! [X0,X1] : ( join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) = complement(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/REL001+0.ax',converse_cancellativity) ).
tff(f_59,axiom,
! [X0,X1] : ( meet(X0,X1) = complement(join(complement(X0),complement(X1))) ),
file('/export/starexec/sandbox2/benchmark/Axioms/REL001+0.ax',maddux4_definiton_of_meet) ).
tff(f_57,axiom,
! [X0,X1] : ( X0 = join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) ),
file('/export/starexec/sandbox2/benchmark/Axioms/REL001+0.ax',maddux3_a_kind_of_de_Morgan) ).
tff(f_78,axiom,
! [X0] : ( top = join(X0,complement(X0)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/REL001+0.ax',def_top) ).
tff(f_55,axiom,
! [X0,X1,X2] : ( join(X0,join(X1,X2)) = join(join(X0,X1),X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/REL001+0.ax',maddux2_join_associativity) ).
tff(f_71,axiom,
! [X0,X1] : ( converse(join(X0,X1)) = join(converse(X0),converse(X1)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/REL001+0.ax',converse_additivity) ).
tff(f_85,negated_conjecture,
~ ! [X0] : ( converse(complement(X0)) = complement(converse(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
tff(c_26,plain,
! [X0_25] : ( meet(X0_25,complement(X0_25)) = zero ),
inference(cnfTransformation,[status(thm)],[f_80]) ).
tff(c_16,plain,
! [X0_17] : ( converse(converse(X0_17)) = X0_17 ),
inference(cnfTransformation,[status(thm)],[f_69]) ).
tff(c_12,plain,
! [X0_13] : ( composition(X0_13,one) = X0_13 ),
inference(cnfTransformation,[status(thm)],[f_64]) ).
tff(c_308,plain,
! [X1_38,X0_39] : ( composition(converse(X1_38),converse(X0_39)) = converse(composition(X0_39,X1_38)) ),
inference(cnfTransformation,[status(thm)],[f_73]) ).
tff(c_3368,plain,
! [X0_95,X1_96] : ( converse(composition(converse(X0_95),X1_96)) = composition(converse(X1_96),X0_95) ),
inference(superposition,[status(thm),theory(equality)],[c_16,c_308]) ).
tff(c_3462,plain,
! [X0_95] : ( composition(converse(one),X0_95) = converse(converse(X0_95)) ),
inference(superposition,[status(thm),theory(equality)],[c_12,c_3368]) ).
tff(c_3478,plain,
! [X0_95] : ( composition(converse(one),X0_95) = X0_95 ),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_3462]) ).
tff(c_3480,plain,
! [X0_97] : ( composition(converse(one),X0_97) = X0_97 ),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_3462]) ).
tff(c_352,plain,
! [X0_41,X1_42,X2_43] : ( composition(composition(X0_41,X1_42),X2_43) = composition(X0_41,composition(X1_42,X2_43)) ),
inference(cnfTransformation,[status(thm)],[f_62]) ).
tff(c_374,plain,
! [X0_13,X2_43] : ( composition(X0_13,composition(one,X2_43)) = composition(X0_13,X2_43) ),
inference(superposition,[status(thm),theory(equality)],[c_12,c_352]) ).
tff(c_3507,plain,
! [X2_43] : ( composition(converse(one),X2_43) = composition(one,X2_43) ),
inference(superposition,[status(thm),theory(equality)],[c_3480,c_374]) ).
tff(c_3538,plain,
! [X2_43] : ( composition(one,X2_43) = X2_43 ),
inference(demodulation,[status(thm),theory(equality)],[c_3478,c_3507]) ).
tff(c_2,plain,
! [X1_2,X0_1] : ( join(X1_2,X0_1) = join(X0_1,X1_2) ),
inference(cnfTransformation,[status(thm)],[f_53]) ).
tff(c_3518,plain,
converse(one) = one,
inference(superposition,[status(thm),theory(equality)],[c_3480,c_12]) ).
tff(c_3605,plain,
! [X2_98] : ( composition(one,X2_98) = X2_98 ),
inference(demodulation,[status(thm),theory(equality)],[c_3478,c_3507]) ).
tff(c_22,plain,
! [X0_22,X1_23] : ( join(composition(converse(X0_22),complement(composition(X0_22,X1_23))),complement(X1_23)) = complement(X1_23) ),
inference(cnfTransformation,[status(thm)],[f_75]) ).
tff(c_3617,plain,
! [X2_98] : ( join(composition(converse(one),complement(X2_98)),complement(X2_98)) = complement(X2_98) ),
inference(superposition,[status(thm),theory(equality)],[c_3605,c_22]) ).
tff(c_3650,plain,
! [X2_99] : ( join(complement(X2_99),complement(X2_99)) = complement(X2_99) ),
inference(demodulation,[status(thm),theory(equality)],[c_3538,c_2,c_3518,c_3617]) ).
tff(c_8,plain,
! [X0_8,X1_9] : ( complement(join(complement(X0_8),complement(X1_9))) = meet(X0_8,X1_9) ),
inference(cnfTransformation,[status(thm)],[f_59]) ).
tff(c_6,plain,
! [X0_6,X1_7] : ( join(complement(join(complement(X0_6),complement(X1_7))),complement(join(complement(X0_6),X1_7))) = X0_6 ),
inference(cnfTransformation,[status(thm)],[f_57]) ).
tff(c_29,plain,
! [X0_6,X1_7] : ( join(meet(X0_6,X1_7),complement(join(complement(X0_6),X1_7))) = X0_6 ),
inference(demodulation,[status(thm),theory(equality)],[c_8,c_6]) ).
tff(c_3659,plain,
! [X2_99] : ( join(meet(X2_99,complement(X2_99)),complement(complement(X2_99))) = X2_99 ),
inference(superposition,[status(thm),theory(equality)],[c_3650,c_29]) ).
tff(c_3893,plain,
! [X2_101] : ( join(zero,complement(complement(X2_101))) = X2_101 ),
inference(demodulation,[status(thm),theory(equality)],[c_26,c_3659]) ).
tff(c_24,plain,
! [X0_24] : ( join(X0_24,complement(X0_24)) = top ),
inference(cnfTransformation,[status(thm)],[f_78]) ).
tff(c_103,plain,
! [X0_32,X1_33] : ( complement(join(complement(X0_32),complement(X1_33))) = meet(X0_32,X1_33) ),
inference(cnfTransformation,[status(thm)],[f_59]) ).
tff(c_137,plain,
! [X0_32] : ( meet(X0_32,complement(X0_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,
! [X0_8] : ( complement(join(complement(X0_8),zero)) = meet(X0_8,top) ),
inference(superposition,[status(thm),theory(equality)],[c_140,c_8]) ).
tff(c_156,plain,
! [X0_8] : ( complement(join(zero,complement(X0_8))) = meet(X0_8,top) ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_147]) ).
tff(c_3911,plain,
! [X2_101] : ( meet(complement(X2_101),top) = complement(X2_101) ),
inference(superposition,[status(thm),theory(equality)],[c_3893,c_156]) ).
tff(c_3637,plain,
! [X2_98] : ( join(complement(X2_98),complement(X2_98)) = complement(X2_98) ),
inference(demodulation,[status(thm),theory(equality)],[c_3538,c_2,c_3518,c_3617]) ).
tff(c_627,plain,
! [X0_52,X1_53,X2_54] : ( join(join(X0_52,X1_53),X2_54) = join(X0_52,join(X1_53,X2_54)) ),
inference(cnfTransformation,[status(thm)],[f_55]) ).
tff(c_4022,plain,
! [X0_103,X2_104] : ( join(X0_103,join(complement(X0_103),X2_104)) = join(top,X2_104) ),
inference(superposition,[status(thm),theory(equality)],[c_24,c_627]) ).
tff(c_4071,plain,
! [X2_98] : ( join(top,complement(X2_98)) = join(X2_98,complement(X2_98)) ),
inference(superposition,[status(thm),theory(equality)],[c_3637,c_4022]) ).
tff(c_4127,plain,
! [X2_105] : ( join(top,complement(X2_105)) = top ),
inference(demodulation,[status(thm),theory(equality)],[c_24,c_4071]) ).
tff(c_162,plain,
! [X0_34,X1_35] : ( join(converse(X0_34),converse(X1_35)) = converse(join(X0_34,X1_35)) ),
inference(cnfTransformation,[status(thm)],[f_71]) ).
tff(c_471,plain,
! [X1_48,X0_49] : ( join(converse(X1_48),converse(X0_49)) = converse(join(X0_49,X1_48)) ),
inference(superposition,[status(thm),theory(equality)],[c_162,c_2]) ).
tff(c_18,plain,
! [X0_18,X1_19] : ( join(converse(X0_18),converse(X1_19)) = converse(join(X0_18,X1_19)) ),
inference(cnfTransformation,[status(thm)],[f_71]) ).
tff(c_514,plain,
! [X1_50,X0_51] : ( converse(join(X1_50,X0_51)) = converse(join(X0_51,X1_50)) ),
inference(superposition,[status(thm),theory(equality)],[c_471,c_18]) ).
tff(c_574,plain,
! [X0_51,X1_50] : ( converse(converse(join(X0_51,X1_50))) = join(X1_50,X0_51) ),
inference(superposition,[status(thm),theory(equality)],[c_514,c_16]) ).
tff(c_4132,plain,
! [X2_105] : ( join(complement(X2_105),top) = converse(converse(top)) ),
inference(superposition,[status(thm),theory(equality)],[c_4127,c_574]) ).
tff(c_4165,plain,
! [X2_106] : ( join(complement(X2_106),top) = top ),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_4132]) ).
tff(c_4173,plain,
! [X2_106] : ( join(meet(X2_106,top),complement(top)) = X2_106 ),
inference(superposition,[status(thm),theory(equality)],[c_4165,c_29]) ).
tff(c_4804,plain,
! [X2_113] : ( join(zero,meet(X2_113,top)) = X2_113 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_140,c_4173]) ).
tff(c_5002,plain,
! [X2_116] : ( join(zero,complement(X2_116)) = complement(X2_116) ),
inference(superposition,[status(thm),theory(equality)],[c_3911,c_4804]) ).
tff(c_3709,plain,
! [X2_99] : ( join(zero,complement(complement(X2_99))) = X2_99 ),
inference(demodulation,[status(thm),theory(equality)],[c_26,c_3659]) ).
tff(c_5015,plain,
! [X2_99] : ( complement(complement(X2_99)) = X2_99 ),
inference(superposition,[status(thm),theory(equality)],[c_5002,c_3709]) ).
tff(c_3724,plain,
! [X2_100] : ( meet(X2_100,X2_100) = complement(complement(X2_100)) ),
inference(superposition,[status(thm),theory(equality)],[c_3650,c_8]) ).
tff(c_1033,plain,
! [X0_62,X1_63] : ( join(meet(X0_62,X1_63),complement(join(complement(X0_62),X1_63))) = X0_62 ),
inference(demodulation,[status(thm),theory(equality)],[c_8,c_6]) ).
tff(c_1099,plain,
! [X0_25] : ( join(zero,complement(join(complement(X0_25),complement(X0_25)))) = X0_25 ),
inference(superposition,[status(thm),theory(equality)],[c_26,c_1033]) ).
tff(c_1112,plain,
! [X0_64] : ( join(zero,meet(X0_64,X0_64)) = X0_64 ),
inference(demodulation,[status(thm),theory(equality)],[c_8,c_1099]) ).
tff(c_1121,plain,
! [X0_64] : ( join(meet(X0_64,X0_64),zero) = converse(converse(X0_64)) ),
inference(superposition,[status(thm),theory(equality)],[c_1112,c_574]) ).
tff(c_1129,plain,
! [X0_64] : ( join(meet(X0_64,X0_64),zero) = X0_64 ),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_1121]) ).
tff(c_3779,plain,
! [X2_100] : ( join(complement(complement(X2_100)),zero) = X2_100 ),
inference(superposition,[status(thm),theory(equality)],[c_3724,c_1129]) ).
tff(c_5063,plain,
! [X2_100] : ( join(X2_100,zero) = X2_100 ),
inference(demodulation,[status(thm),theory(equality)],[c_5015,c_3779]) ).
tff(c_5064,plain,
! [X2_99] : ( join(zero,X2_99) = X2_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,
! [X2_61] : ( join(top,join(zero,X2_61)) = join(top,X2_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,
! [X0_36] : ( complement(join(zero,complement(X0_36))) = meet(X0_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,
! [X2_54] : ( join(top,join(zero,X2_54)) = join(top,X2_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,
! [X0_24,X2_54] : ( join(X0_24,join(complement(X0_24),X2_54)) = join(top,X2_54) ),
inference(superposition,[status(thm),theory(equality)],[c_24,c_627]) ).
tff(c_4170,plain,
! [X2_106] : ( join(top,top) = join(X2_106,top) ),
inference(superposition,[status(thm),theory(equality)],[c_4165,c_690]) ).
tff(c_4239,plain,
! [X2_107] : ( join(X2_107,top) = top ),
inference(demodulation,[status(thm),theory(equality)],[c_1410,c_4170]) ).
tff(c_699,plain,
! [X0_55,X1_56] : ( converse(converse(join(X0_55,X1_56))) = join(X1_56,X0_55) ),
inference(superposition,[status(thm),theory(equality)],[c_514,c_16]) ).
tff(c_762,plain,
! [X0_24] : ( join(complement(X0_24),X0_24) = converse(converse(top)) ),
inference(superposition,[status(thm),theory(equality)],[c_24,c_699]) ).
tff(c_778,plain,
! [X0_24] : ( join(complement(X0_24),X0_24) = top ),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_762]) ).
tff(c_2012,plain,
! [X0_78,X0_79] : ( converse(join(X0_78,converse(X0_79))) = join(converse(X0_78),X0_79) ),
inference(superposition,[status(thm),theory(equality)],[c_16,c_162]) ).
tff(c_2064,plain,
! [X0_79] : ( join(converse(complement(converse(X0_79))),X0_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,
! [X0_83,X1_84] : ( converse(join(converse(X0_83),X1_84)) = join(X0_83,converse(X1_84)) ),
inference(superposition,[status(thm),theory(equality)],[c_16,c_162]) ).
tff(c_2429,plain,
! [X0_83] : ( join(X0_83,converse(complement(converse(X0_83)))) = converse(top) ),
inference(superposition,[status(thm),theory(equality)],[c_24,c_2323]) ).
tff(c_9699,plain,
! [X0_164] : ( join(X0_164,converse(complement(converse(X0_164)))) = top ),
inference(demodulation,[status(thm),theory(equality)],[c_4252,c_2429]) ).
tff(c_9767,plain,
! [X0_6] : ( join(meet(X0_6,converse(complement(converse(complement(X0_6))))),complement(top)) = X0_6 ),
inference(superposition,[status(thm),theory(equality)],[c_9699,c_29]) ).
tff(c_9871,plain,
! [X0_6] : ( meet(X0_6,converse(complement(converse(complement(X0_6))))) = X0_6 ),
inference(demodulation,[status(thm),theory(equality)],[c_5064,c_2,c_140,c_9767]) ).
tff(c_5070,plain,
! [X2_117] : ( complement(complement(X2_117)) = X2_117 ),
inference(superposition,[status(thm),theory(equality)],[c_5002,c_3709]) ).
tff(c_144,plain,
! [X1_9] : ( complement(join(zero,complement(X1_9))) = meet(top,X1_9) ),
inference(superposition,[status(thm),theory(equality)],[c_140,c_8]) ).
tff(c_3908,plain,
! [X2_101] : ( meet(top,complement(X2_101)) = complement(X2_101) ),
inference(superposition,[status(thm),theory(equality)],[c_3893,c_144]) ).
tff(c_5088,plain,
! [X2_117] : ( complement(complement(X2_117)) = meet(top,X2_117) ),
inference(superposition,[status(thm),theory(equality)],[c_5070,c_3908]) ).
tff(c_5150,plain,
! [X2_117] : ( meet(top,X2_117) = X2_117 ),
inference(demodulation,[status(thm),theory(equality)],[c_5015,c_5088]) ).
tff(c_2808,plain,
! [X1_88,X0_89] : ( complement(join(complement(X1_88),complement(X0_89))) = meet(X0_89,X1_88) ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_103]) ).
tff(c_2862,plain,
! [X1_88,X0_89] : ( meet(X1_88,X0_89) = meet(X0_89,X1_88) ),
inference(superposition,[status(thm),theory(equality)],[c_2808,c_8]) ).
tff(c_6007,plain,
! [X0_128,X0_129] : ( join(meet(X0_128,X0_129),complement(join(X0_129,complement(X0_128)))) = X0_128 ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_1033]) ).
tff(c_6108,plain,
! [X1_9,X0_8] : ( join(meet(X1_9,complement(X0_8)),meet(X0_8,X1_9)) = X1_9 ),
inference(superposition,[status(thm),theory(equality)],[c_8,c_6007]) ).
tff(c_4221,plain,
! [X2_106] : ( join(X2_106,top) = top ),
inference(demodulation,[status(thm),theory(equality)],[c_1410,c_4170]) ).
tff(c_6294,plain,
! [X1_132,X0_133,X1_134] : ( join(X1_132,join(X0_133,X1_134)) = join(X0_133,join(X1_134,X1_132)) ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_627]) ).
tff(c_6639,plain,
! [X0_24,X0_133] : ( join(complement(X0_24),join(X0_133,X0_24)) = join(X0_133,top) ),
inference(superposition,[status(thm),theory(equality)],[c_24,c_6294]) ).
tff(c_7529,plain,
! [X0_142,X0_143] : ( join(complement(X0_142),join(X0_143,X0_142)) = top ),
inference(demodulation,[status(thm),theory(equality)],[c_4221,c_6639]) ).
tff(c_66477,plain,
! [X1_434,X0_435] : ( join(complement(converse(X1_434)),converse(join(X0_435,X1_434))) = top ),
inference(superposition,[status(thm),theory(equality)],[c_18,c_7529]) ).
tff(c_160464,plain,
! [X0_654,X1_655] : ( join(complement(converse(meet(X0_654,X1_655))),converse(X1_655)) = top ),
inference(superposition,[status(thm),theory(equality)],[c_6108,c_66477]) ).
tff(c_160933,plain,
! [X0_6] : ( join(complement(converse(X0_6)),converse(converse(complement(converse(complement(X0_6)))))) = top ),
inference(superposition,[status(thm),theory(equality)],[c_9871,c_160464]) ).
tff(c_234250,plain,
! [X0_810] : ( join(complement(converse(X0_810)),complement(converse(complement(X0_810)))) = top ),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_160933]) ).
tff(c_121,plain,
! [X0_8,X1_9,X1_33] : ( meet(join(complement(X0_8),complement(X1_9)),X1_33) = complement(join(meet(X0_8,X1_9),complement(X1_33))) ),
inference(superposition,[status(thm),theory(equality)],[c_8,c_103]) ).
tff(c_1081,plain,
! [X0_8,X1_9,X1_63] : ( join(meet(join(complement(X0_8),complement(X1_9)),X1_63),complement(join(meet(X0_8,X1_9),X1_63))) = join(complement(X0_8),complement(X1_9)) ),
inference(superposition,[status(thm),theory(equality)],[c_8,c_1033]) ).
tff(c_22647,plain,
! [X0_275,X1_276,X1_277] : ( join(complement(join(meet(X0_275,X1_276),X1_277)),complement(join(meet(X0_275,X1_276),complement(X1_277)))) = join(complement(X0_275),complement(X1_276)) ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_121,c_1081]) ).
tff(c_22990,plain,
! [X0_275,X1_276] : ( join(complement(top),complement(join(meet(X0_275,X1_276),complement(top)))) = join(complement(X0_275),complement(X1_276)) ),
inference(superposition,[status(thm),theory(equality)],[c_4221,c_22647]) ).
tff(c_200257,plain,
! [X0_740,X1_741] : ( join(complement(X0_740),complement(X1_741)) = complement(meet(X0_740,X1_741)) ),
inference(demodulation,[status(thm),theory(equality)],[c_5064,c_5064,c_140,c_140,c_2,c_22990]) ).
tff(c_200877,plain,
! [X1_741,X0_740] : ( join(complement(X1_741),complement(X0_740)) = complement(meet(X0_740,X1_741)) ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_200257]) ).
tff(c_234270,plain,
! [X0_810] : ( complement(meet(converse(complement(X0_810)),converse(X0_810))) = top ),
inference(superposition,[status(thm),theory(equality)],[c_234250,c_200877]) ).
tff(c_234858,plain,
! [X0_811] : ( complement(meet(converse(X0_811),converse(complement(X0_811)))) = top ),
inference(demodulation,[status(thm),theory(equality)],[c_2862,c_234270]) ).
tff(c_23150,plain,
! [X0_275,X1_276] : ( join(complement(X0_275),complement(X1_276)) = complement(meet(X0_275,X1_276)) ),
inference(demodulation,[status(thm),theory(equality)],[c_5064,c_5064,c_140,c_140,c_2,c_22990]) ).
tff(c_7085,plain,
! [X0_138,X1_139] : ( meet(join(complement(X0_138),complement(X1_139)),meet(X0_138,X1_139)) = zero ),
inference(superposition,[status(thm),theory(equality)],[c_103,c_26]) ).
tff(c_7181,plain,
! [X1_139,X0_138] : ( meet(join(complement(X1_139),complement(X0_138)),meet(X0_138,X1_139)) = zero ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_7085]) ).
tff(c_200243,plain,
! [X1_139,X0_138] : ( meet(complement(meet(X1_139,X0_138)),meet(X0_138,X1_139)) = zero ),
inference(demodulation,[status(thm),theory(equality)],[c_23150,c_7181]) ).
tff(c_234899,plain,
! [X0_811] : ( meet(top,meet(converse(complement(X0_811)),converse(X0_811))) = zero ),
inference(superposition,[status(thm),theory(equality)],[c_234858,c_200243]) ).
tff(c_241379,plain,
! [X0_816] : ( meet(converse(X0_816),converse(complement(X0_816))) = zero ),
inference(demodulation,[status(thm),theory(equality)],[c_5150,c_2862,c_234899]) ).
tff(c_241883,plain,
! [X0_817] : ( meet(X0_817,converse(complement(converse(X0_817)))) = zero ),
inference(superposition,[status(thm),theory(equality)],[c_16,c_241379]) ).
tff(c_33218,plain,
! [X1_330,X0_331] : ( join(meet(X1_330,complement(X0_331)),meet(X0_331,X1_330)) = X1_330 ),
inference(superposition,[status(thm),theory(equality)],[c_8,c_6007]) ).
tff(c_69527,plain,
! [X0_444,X0_445] : ( join(meet(complement(X0_444),X0_445),meet(X0_444,X0_445)) = X0_445 ),
inference(superposition,[status(thm),theory(equality)],[c_2862,c_33218]) ).
tff(c_70015,plain,
! [X0_444,X0_445] : ( join(meet(X0_444,X0_445),meet(complement(X0_444),X0_445)) = X0_445 ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_69527]) ).
tff(c_242114,plain,
! [X0_444] : ( join(meet(X0_444,converse(complement(converse(complement(X0_444))))),zero) = converse(complement(converse(complement(X0_444)))) ),
inference(superposition,[status(thm),theory(equality)],[c_241883,c_70015]) ).
tff(c_242484,plain,
! [X0_818] : ( converse(complement(converse(complement(X0_818)))) = X0_818 ),
inference(demodulation,[status(thm),theory(equality)],[c_5063,c_9871,c_242114]) ).
tff(c_243030,plain,
! [X0_819] : ( complement(converse(complement(X0_819))) = converse(X0_819) ),
inference(superposition,[status(thm),theory(equality)],[c_242484,c_16]) ).
tff(c_243438,plain,
! [X2_99] : ( converse(complement(X2_99)) = complement(converse(X2_99)) ),
inference(superposition,[status(thm),theory(equality)],[c_5015,c_243030]) ).
tff(c_28,plain,
converse(complement('#skF_1')) != complement(converse('#skF_1')),
inference(cnfTransformation,[status(thm)],[f_85]) ).
tff(c_249979,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_243438,c_28]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : REL004+1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.15 % 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
% 0.15/0.36 % Computer : n019.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 15:37:02 EDT 2023
% 0.15/0.37 % CPUTime :
% 52.81/41.82 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 52.81/41.86
% 52.81/41.86 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 52.96/41.91
% 52.96/41.91 Inference rules
% 52.96/41.91 ----------------------
% 52.96/41.91 #Ref : 0
% 52.96/41.91 #Sup : 62472
% 52.96/41.91 #Fact : 0
% 52.96/41.91 #Define : 0
% 52.96/41.91 #Split : 0
% 52.96/41.91 #Chain : 0
% 52.96/41.91 #Close : 0
% 52.96/41.91
% 52.96/41.91 Ordering : KBO
% 52.96/41.91
% 52.96/41.91 Simplification rules
% 52.96/41.91 ----------------------
% 52.96/41.91 #Subsume : 881
% 52.96/41.91 #Demod : 109863
% 52.96/41.91 #Tautology : 39116
% 52.96/41.91 #SimpNegUnit : 0
% 52.96/41.91 #BackRed : 130
% 52.96/41.91
% 52.96/41.91 #Partial instantiations: 0
% 52.96/41.91 #Strategies tried : 1
% 52.96/41.91
% 52.96/41.91 Timing (in seconds)
% 52.96/41.91 ----------------------
% 52.96/41.91 Preprocessing : 0.48
% 52.96/41.91 Parsing : 0.26
% 52.96/41.91 CNF conversion : 0.03
% 52.96/41.91 Main loop : 40.16
% 52.96/41.91 Inferencing : 2.72
% 52.96/41.91 Reduction : 29.02
% 52.96/41.91 Demodulation : 27.58
% 52.96/41.91 BG Simplification : 0.27
% 52.96/41.91 Subsumption : 6.58
% 52.96/41.91 Abstraction : 0.54
% 52.96/41.91 MUC search : 0.00
% 52.96/41.91 Cooper : 0.00
% 52.96/41.91 Total : 40.74
% 52.96/41.91 Index Insertion : 0.00
% 52.96/41.91 Index Deletion : 0.00
% 52.96/41.91 Index Matching : 0.00
% 52.96/41.91 BG Taut test : 0.00
%------------------------------------------------------------------------------