TSTP Solution File: REL007+1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : REL007+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 : n023.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 10:54:26 EDT 2023
% Result : Theorem 16.61s 7.71s
% Output : CNFRefutation 17.02s
% Verified :
% SZS Type : Refutation
% Derivation depth : 38
% Number of leaves : 23
% Syntax : Number of formulae : 156 ( 145 unt; 10 typ; 0 def)
% Number of atoms : 147 ( 146 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 4 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 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 : 10 ( 10 usr; 5 con; 0-2 aty)
% Number of variables : 173 (; 173 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ meet > join > composition > #nlpp > converse > complement > zero > top > one > #skF_2 > #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_2',type,
'#skF_2': $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_53,axiom,
! [X0,X1] : ( join(X0,X1) = join(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/REL001+0.ax',maddux1_join_commutativity) ).
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_87,negated_conjecture,
~ ! [X0,X1] :
( ( meet(X0,converse(X1)) = zero )
=> ( meet(converse(X0),X1) = zero ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
tff(f_80,axiom,
! [X0] : ( zero = meet(X0,complement(X0)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/REL001+0.ax',def_zero) ).
tff(f_78,axiom,
! [X0] : ( top = join(X0,complement(X0)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/REL001+0.ax',def_top) ).
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_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_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_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_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(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_109,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_1405,plain,
! [X1_66,X0_67] : ( complement(join(complement(X1_66),complement(X0_67))) = meet(X0_67,X1_66) ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_109]) ).
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_1447,plain,
! [X1_66,X0_67] : ( meet(X1_66,X0_67) = meet(X0_67,X1_66) ),
inference(superposition,[status(thm),theory(equality)],[c_1405,c_8]) ).
tff(c_28,plain,
meet(converse('#skF_1'),'#skF_2') != zero,
inference(cnfTransformation,[status(thm)],[f_87]) ).
tff(c_1545,plain,
meet('#skF_2',converse('#skF_1')) != zero,
inference(demodulation,[status(thm),theory(equality)],[c_1447,c_28]) ).
tff(c_26,plain,
! [X0_25] : ( meet(X0_25,complement(X0_25)) = zero ),
inference(cnfTransformation,[status(thm)],[f_80]) ).
tff(c_24,plain,
! [X0_24] : ( join(X0_24,complement(X0_24)) = top ),
inference(cnfTransformation,[status(thm)],[f_78]) ).
tff(c_143,plain,
! [X0_32] : ( meet(X0_32,complement(X0_32)) = complement(top) ),
inference(superposition,[status(thm),theory(equality)],[c_24,c_109]) ).
tff(c_146,plain,
complement(top) = zero,
inference(demodulation,[status(thm),theory(equality)],[c_26,c_143]) ).
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_496,plain,
! [X0_46,X1_47] : ( join(meet(X0_46,X1_47),complement(join(complement(X0_46),X1_47))) = X0_46 ),
inference(demodulation,[status(thm),theory(equality)],[c_8,c_6]) ).
tff(c_556,plain,
! [X0_46] : ( join(meet(X0_46,complement(complement(X0_46))),complement(top)) = X0_46 ),
inference(superposition,[status(thm),theory(equality)],[c_24,c_496]) ).
tff(c_565,plain,
! [X0_46] : ( join(zero,meet(X0_46,complement(complement(X0_46)))) = X0_46 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_146,c_556]) ).
tff(c_159,plain,
join(top,zero) = top,
inference(superposition,[status(thm),theory(equality)],[c_146,c_24]) ).
tff(c_354,plain,
! [X0_41,X1_42,X2_43] : ( join(join(X0_41,X1_42),X2_43) = join(X0_41,join(X1_42,X2_43)) ),
inference(cnfTransformation,[status(thm)],[f_55]) ).
tff(c_408,plain,
! [X2_44] : ( join(top,join(zero,X2_44)) = join(top,X2_44) ),
inference(superposition,[status(thm),theory(equality)],[c_159,c_354]) ).
tff(c_429,plain,
join(top,complement(zero)) = join(top,top),
inference(superposition,[status(thm),theory(equality)],[c_24,c_408]) ).
tff(c_153,plain,
! [X0_8] : ( complement(join(complement(X0_8),zero)) = meet(X0_8,top) ),
inference(superposition,[status(thm),theory(equality)],[c_146,c_8]) ).
tff(c_187,plain,
! [X0_36] : ( complement(join(zero,complement(X0_36))) = meet(X0_36,top) ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_153]) ).
tff(c_221,plain,
meet(zero,top) = complement(top),
inference(superposition,[status(thm),theory(equality)],[c_24,c_187]) ).
tff(c_224,plain,
meet(zero,top) = zero,
inference(demodulation,[status(thm),theory(equality)],[c_146,c_221]) ).
tff(c_523,plain,
join(zero,complement(join(complement(zero),top))) = zero,
inference(superposition,[status(thm),theory(equality)],[c_224,c_496]) ).
tff(c_562,plain,
join(zero,complement(join(top,top))) = zero,
inference(demodulation,[status(thm),theory(equality)],[c_429,c_2,c_523]) ).
tff(c_382,plain,
! [X2_43] : ( join(top,join(zero,X2_43)) = join(top,X2_43) ),
inference(superposition,[status(thm),theory(equality)],[c_159,c_354]) ).
tff(c_585,plain,
join(top,complement(join(top,top))) = join(top,zero),
inference(superposition,[status(thm),theory(equality)],[c_562,c_382]) ).
tff(c_597,plain,
join(top,complement(join(top,top))) = top,
inference(demodulation,[status(thm),theory(equality)],[c_159,c_585]) ).
tff(c_788,plain,
! [X0_56,X1_57] : ( join(X0_56,join(X1_57,complement(join(X0_56,X1_57)))) = top ),
inference(superposition,[status(thm),theory(equality)],[c_24,c_354]) ).
tff(c_832,plain,
join(top,top) = top,
inference(superposition,[status(thm),theory(equality)],[c_597,c_788]) ).
tff(c_925,plain,
join(zero,complement(top)) = zero,
inference(demodulation,[status(thm),theory(equality)],[c_832,c_562]) ).
tff(c_928,plain,
join(zero,zero) = zero,
inference(demodulation,[status(thm),theory(equality)],[c_146,c_925]) ).
tff(c_4,plain,
! [X0_3,X1_4,X2_5] : ( join(join(X0_3,X1_4),X2_5) = join(X0_3,join(X1_4,X2_5)) ),
inference(cnfTransformation,[status(thm)],[f_55]) ).
tff(c_1697,plain,
! [X2_72] : ( join(zero,join(zero,X2_72)) = join(zero,X2_72) ),
inference(superposition,[status(thm),theory(equality)],[c_928,c_4]) ).
tff(c_1771,plain,
! [X0_46] : ( join(zero,meet(X0_46,complement(complement(X0_46)))) = join(zero,X0_46) ),
inference(superposition,[status(thm),theory(equality)],[c_565,c_1697]) ).
tff(c_1811,plain,
! [X0_46] : ( join(zero,X0_46) = X0_46 ),
inference(demodulation,[status(thm),theory(equality)],[c_565,c_1771]) ).
tff(c_162,plain,
! [X0_8] : ( complement(join(zero,complement(X0_8))) = meet(X0_8,top) ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_153]) ).
tff(c_1822,plain,
! [X0_8] : ( complement(complement(X0_8)) = meet(X0_8,top) ),
inference(demodulation,[status(thm),theory(equality)],[c_1811,c_162]) ).
tff(c_1824,plain,
! [X0_73] : ( join(zero,X0_73) = X0_73 ),
inference(demodulation,[status(thm),theory(equality)],[c_565,c_1771]) ).
tff(c_1896,plain,
! [X0_46] : ( meet(X0_46,complement(complement(X0_46))) = X0_46 ),
inference(superposition,[status(thm),theory(equality)],[c_565,c_1824]) ).
tff(c_2558,plain,
! [X0_83] : ( meet(X0_83,meet(X0_83,top)) = X0_83 ),
inference(demodulation,[status(thm),theory(equality)],[c_1822,c_1896]) ).
tff(c_2575,plain,
! [X0_67] : ( meet(X0_67,meet(top,X0_67)) = X0_67 ),
inference(superposition,[status(thm),theory(equality)],[c_1447,c_2558]) ).
tff(c_150,plain,
! [X1_9] : ( complement(join(zero,complement(X1_9))) = meet(top,X1_9) ),
inference(superposition,[status(thm),theory(equality)],[c_146,c_8]) ).
tff(c_2477,plain,
! [X1_82] : ( complement(complement(X1_82)) = meet(top,X1_82) ),
inference(demodulation,[status(thm),theory(equality)],[c_1811,c_150]) ).
tff(c_1499,plain,
! [X1_66] : ( meet(complement(X1_66),X1_66) = complement(top) ),
inference(superposition,[status(thm),theory(equality)],[c_24,c_1405]) ).
tff(c_1507,plain,
! [X1_66] : ( meet(complement(X1_66),X1_66) = zero ),
inference(demodulation,[status(thm),theory(equality)],[c_146,c_1499]) ).
tff(c_3202,plain,
! [X1_91] : ( meet(meet(top,X1_91),complement(X1_91)) = zero ),
inference(superposition,[status(thm),theory(equality)],[c_2477,c_1507]) ).
tff(c_31,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_3213,plain,
! [X1_91] : ( join(zero,complement(join(complement(meet(top,X1_91)),complement(X1_91)))) = meet(top,X1_91) ),
inference(superposition,[status(thm),theory(equality)],[c_3202,c_31]) ).
tff(c_3276,plain,
! [X1_91] : ( meet(top,X1_91) = X1_91 ),
inference(demodulation,[status(thm),theory(equality)],[c_2575,c_1811,c_8,c_2,c_3213]) ).
tff(c_1821,plain,
! [X1_9] : ( complement(complement(X1_9)) = meet(top,X1_9) ),
inference(demodulation,[status(thm),theory(equality)],[c_1811,c_150]) ).
tff(c_3293,plain,
! [X1_9] : ( complement(complement(X1_9)) = X1_9 ),
inference(demodulation,[status(thm),theory(equality)],[c_3276,c_1821]) ).
tff(c_549,plain,
! [X0_25] : ( join(zero,complement(join(complement(X0_25),complement(X0_25)))) = X0_25 ),
inference(superposition,[status(thm),theory(equality)],[c_26,c_496]) ).
tff(c_564,plain,
! [X0_25] : ( join(zero,meet(X0_25,X0_25)) = X0_25 ),
inference(demodulation,[status(thm),theory(equality)],[c_8,c_549]) ).
tff(c_1902,plain,
! [X0_25] : ( meet(X0_25,X0_25) = X0_25 ),
inference(superposition,[status(thm),theory(equality)],[c_564,c_1824]) ).
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_164,plain,
! [X1_34,X0_35] : ( composition(converse(X1_34),converse(X0_35)) = converse(composition(X0_35,X1_34)) ),
inference(cnfTransformation,[status(thm)],[f_73]) ).
tff(c_3725,plain,
! [X0_98,X1_99] : ( converse(composition(converse(X0_98),X1_99)) = composition(converse(X1_99),X0_98) ),
inference(superposition,[status(thm),theory(equality)],[c_16,c_164]) ).
tff(c_3795,plain,
! [X0_98] : ( composition(converse(one),X0_98) = converse(converse(X0_98)) ),
inference(superposition,[status(thm),theory(equality)],[c_12,c_3725]) ).
tff(c_3811,plain,
! [X0_98] : ( composition(converse(one),X0_98) = X0_98 ),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_3795]) ).
tff(c_3813,plain,
! [X0_100] : ( composition(converse(one),X0_100) = X0_100 ),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_3795]) ).
tff(c_687,plain,
! [X0_50,X1_51,X2_52] : ( composition(composition(X0_50,X1_51),X2_52) = composition(X0_50,composition(X1_51,X2_52)) ),
inference(cnfTransformation,[status(thm)],[f_62]) ).
tff(c_709,plain,
! [X0_13,X2_52] : ( composition(X0_13,composition(one,X2_52)) = composition(X0_13,X2_52) ),
inference(superposition,[status(thm),theory(equality)],[c_12,c_687]) ).
tff(c_3840,plain,
! [X2_52] : ( composition(converse(one),X2_52) = composition(one,X2_52) ),
inference(superposition,[status(thm),theory(equality)],[c_3813,c_709]) ).
tff(c_3871,plain,
! [X2_52] : ( composition(one,X2_52) = X2_52 ),
inference(demodulation,[status(thm),theory(equality)],[c_3811,c_3840]) ).
tff(c_3851,plain,
converse(one) = one,
inference(superposition,[status(thm),theory(equality)],[c_3813,c_12]) ).
tff(c_3923,plain,
! [X2_101] : ( composition(one,X2_101) = X2_101 ),
inference(demodulation,[status(thm),theory(equality)],[c_3811,c_3840]) ).
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_3939,plain,
! [X2_101] : ( join(composition(converse(one),complement(X2_101)),complement(X2_101)) = complement(X2_101) ),
inference(superposition,[status(thm),theory(equality)],[c_3923,c_22]) ).
tff(c_4092,plain,
! [X2_104] : ( join(complement(X2_104),complement(X2_104)) = complement(X2_104) ),
inference(demodulation,[status(thm),theory(equality)],[c_3871,c_2,c_3851,c_3939]) ).
tff(c_4119,plain,
! [X1_9] : ( join(X1_9,complement(complement(X1_9))) = complement(complement(X1_9)) ),
inference(superposition,[status(thm),theory(equality)],[c_3293,c_4092]) ).
tff(c_4167,plain,
! [X1_105] : ( join(X1_105,X1_105) = X1_105 ),
inference(demodulation,[status(thm),theory(equality)],[c_3293,c_3293,c_4119]) ).
tff(c_403,plain,
! [X0_41,X1_42] : ( join(X0_41,join(X1_42,complement(join(X0_41,X1_42)))) = top ),
inference(superposition,[status(thm),theory(equality)],[c_24,c_354]) ).
tff(c_4209,plain,
! [X1_105] : ( join(X1_105,join(X1_105,complement(X1_105))) = top ),
inference(superposition,[status(thm),theory(equality)],[c_4167,c_403]) ).
tff(c_4266,plain,
! [X1_105] : ( join(X1_105,top) = top ),
inference(demodulation,[status(thm),theory(equality)],[c_24,c_4209]) ).
tff(c_898,plain,
! [X0_24] : ( join(X0_24,join(complement(X0_24),complement(top))) = top ),
inference(superposition,[status(thm),theory(equality)],[c_24,c_788]) ).
tff(c_1062,plain,
! [X0_60] : ( join(X0_60,join(zero,complement(X0_60))) = top ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_146,c_898]) ).
tff(c_1115,plain,
join(zero,top) = top,
inference(superposition,[status(thm),theory(equality)],[c_24,c_1062]) ).
tff(c_1242,plain,
! [X2_64] : ( join(zero,join(top,X2_64)) = join(top,X2_64) ),
inference(superposition,[status(thm),theory(equality)],[c_1115,c_4]) ).
tff(c_1299,plain,
! [X0_1] : ( join(zero,join(X0_1,top)) = join(top,X0_1) ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_1242]) ).
tff(c_4362,plain,
! [X0_107] : ( join(top,X0_107) = top ),
inference(demodulation,[status(thm),theory(equality)],[c_4266,c_4266,c_1299]) ).
tff(c_248,plain,
! [X0_37,X1_38] : ( join(converse(X0_37),converse(X1_38)) = converse(join(X0_37,X1_38)) ),
inference(cnfTransformation,[status(thm)],[f_71]) ).
tff(c_272,plain,
! [X0_37,X0_17] : ( converse(join(X0_37,converse(X0_17))) = join(converse(X0_37),X0_17) ),
inference(superposition,[status(thm),theory(equality)],[c_16,c_248]) ).
tff(c_4457,plain,
! [X0_108] : ( join(converse(top),X0_108) = converse(top) ),
inference(superposition,[status(thm),theory(equality)],[c_4362,c_272]) ).
tff(c_4462,plain,
converse(top) = top,
inference(superposition,[status(thm),theory(equality)],[c_4457,c_4266]) ).
tff(c_30,plain,
meet('#skF_1',converse('#skF_2')) = zero,
inference(cnfTransformation,[status(thm)],[f_87]) ).
tff(c_552,plain,
join(zero,complement(join(complement('#skF_1'),converse('#skF_2')))) = '#skF_1',
inference(superposition,[status(thm),theory(equality)],[c_30,c_496]) ).
tff(c_1899,plain,
complement(join(complement('#skF_1'),converse('#skF_2'))) = '#skF_1',
inference(superposition,[status(thm),theory(equality)],[c_552,c_1824]) ).
tff(c_3377,plain,
! [X1_93] : ( complement(complement(X1_93)) = X1_93 ),
inference(demodulation,[status(thm),theory(equality)],[c_3276,c_1821]) ).
tff(c_3428,plain,
join(complement('#skF_1'),converse('#skF_2')) = complement('#skF_1'),
inference(superposition,[status(thm),theory(equality)],[c_1899,c_3377]) ).
tff(c_3547,plain,
join(converse(complement('#skF_1')),'#skF_2') = converse(complement('#skF_1')),
inference(superposition,[status(thm),theory(equality)],[c_3428,c_272]) ).
tff(c_5385,plain,
! [X0_121,X0_119,X1_120] : ( join(X0_121,join(X0_119,X1_120)) = join(X0_119,join(X1_120,X0_121)) ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_354]) ).
tff(c_5708,plain,
! [X0_24,X0_119] : ( join(complement(X0_24),join(X0_119,X0_24)) = join(X0_119,top) ),
inference(superposition,[status(thm),theory(equality)],[c_24,c_5385]) ).
tff(c_5763,plain,
! [X0_24,X0_119] : ( join(complement(X0_24),join(X0_119,X0_24)) = top ),
inference(demodulation,[status(thm),theory(equality)],[c_4266,c_5708]) ).
tff(c_18609,plain,
join(complement('#skF_2'),converse(complement('#skF_1'))) = top,
inference(superposition,[status(thm),theory(equality)],[c_3547,c_5763]) ).
tff(c_18784,plain,
join(converse(complement('#skF_2')),complement('#skF_1')) = converse(top),
inference(superposition,[status(thm),theory(equality)],[c_18609,c_272]) ).
tff(c_18814,plain,
join(converse(complement('#skF_2')),complement('#skF_1')) = top,
inference(demodulation,[status(thm),theory(equality)],[c_4462,c_18784]) ).
tff(c_542,plain,
! [X0_46,X1_2] : ( join(meet(X0_46,X1_2),complement(join(X1_2,complement(X0_46)))) = X0_46 ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_496]) ).
tff(c_19182,plain,
join(meet('#skF_1',converse(complement('#skF_2'))),complement(top)) = '#skF_1',
inference(superposition,[status(thm),theory(equality)],[c_18814,c_542]) ).
tff(c_19243,plain,
meet('#skF_1',converse(complement('#skF_2'))) = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_1811,c_2,c_146,c_19182]) ).
tff(c_7574,plain,
! [X0_141,X1_142] : ( join(meet(X0_141,X1_142),complement(join(X1_142,complement(X0_141)))) = X0_141 ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_496]) ).
tff(c_32942,plain,
! [X1_296,X0_297] : ( join(meet(X1_296,complement(X0_297)),meet(X0_297,X1_296)) = X1_296 ),
inference(superposition,[status(thm),theory(equality)],[c_8,c_7574]) ).
tff(c_3376,plain,
! [X0_8] : ( meet(X0_8,top) = X0_8 ),
inference(demodulation,[status(thm),theory(equality)],[c_3293,c_1822]) ).
tff(c_2416,plain,
! [X0_81] : ( complement(complement(X0_81)) = meet(X0_81,top) ),
inference(demodulation,[status(thm),theory(equality)],[c_1811,c_162]) ).
tff(c_2449,plain,
! [X0_81] : ( join(complement(X0_81),meet(X0_81,top)) = top ),
inference(superposition,[status(thm),theory(equality)],[c_2416,c_24]) ).
tff(c_3453,plain,
! [X0_81] : ( join(complement(X0_81),X0_81) = top ),
inference(demodulation,[status(thm),theory(equality)],[c_3376,c_2449]) ).
tff(c_5582,plain,
! [X0_81,X0_119] : ( join(X0_81,join(X0_119,complement(X0_81))) = join(X0_119,top) ),
inference(superposition,[status(thm),theory(equality)],[c_3453,c_5385]) ).
tff(c_5865,plain,
! [X0_122,X0_123] : ( join(X0_122,join(X0_123,complement(X0_122))) = top ),
inference(demodulation,[status(thm),theory(equality)],[c_4266,c_5582]) ).
tff(c_5894,plain,
! [X0_6,X0_123] : ( join(meet(X0_6,join(X0_123,complement(complement(X0_6)))),complement(top)) = X0_6 ),
inference(superposition,[status(thm),theory(equality)],[c_5865,c_31]) ).
tff(c_5980,plain,
! [X0_6,X0_123] : ( meet(X0_6,join(X0_123,X0_6)) = X0_6 ),
inference(demodulation,[status(thm),theory(equality)],[c_3293,c_1811,c_2,c_146,c_5894]) ).
tff(c_36688,plain,
! [X0_311,X1_312] : ( meet(meet(X0_311,X1_312),X1_312) = meet(X0_311,X1_312) ),
inference(superposition,[status(thm),theory(equality)],[c_32942,c_5980]) ).
tff(c_48045,plain,
! [X1_357,X0_358] : ( meet(meet(X1_357,X0_358),X1_357) = meet(X0_358,X1_357) ),
inference(superposition,[status(thm),theory(equality)],[c_1447,c_36688]) ).
tff(c_48286,plain,
meet(converse(complement('#skF_2')),'#skF_1') = meet('#skF_1','#skF_1'),
inference(superposition,[status(thm),theory(equality)],[c_19243,c_48045]) ).
tff(c_48471,plain,
meet(converse(complement('#skF_2')),'#skF_1') = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_1902,c_48286]) ).
tff(c_16839,plain,
! [X1_215,X2_216] : ( join(X1_215,join(X1_215,X2_216)) = join(X1_215,X2_216) ),
inference(superposition,[status(thm),theory(equality)],[c_4167,c_4]) ).
tff(c_17064,plain,
! [X0_46,X1_2] : ( join(meet(X0_46,X1_2),complement(join(X1_2,complement(X0_46)))) = join(meet(X0_46,X1_2),X0_46) ),
inference(superposition,[status(thm),theory(equality)],[c_542,c_16839]) ).
tff(c_17291,plain,
! [X0_217,X1_218] : ( join(X0_217,meet(X0_217,X1_218)) = X0_217 ),
inference(demodulation,[status(thm),theory(equality)],[c_542,c_2,c_17064]) ).
tff(c_269,plain,
! [X0_17,X1_38] : ( converse(join(converse(X0_17),X1_38)) = join(X0_17,converse(X1_38)) ),
inference(superposition,[status(thm),theory(equality)],[c_16,c_248]) ).
tff(c_17374,plain,
! [X0_17,X1_218] : ( join(X0_17,converse(meet(converse(X0_17),X1_218))) = converse(converse(X0_17)) ),
inference(superposition,[status(thm),theory(equality)],[c_17291,c_269]) ).
tff(c_17530,plain,
! [X0_17,X1_218] : ( join(X0_17,converse(meet(converse(X0_17),X1_218))) = X0_17 ),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_17374]) ).
tff(c_48521,plain,
join(complement('#skF_2'),converse('#skF_1')) = complement('#skF_2'),
inference(superposition,[status(thm),theory(equality)],[c_48471,c_17530]) ).
tff(c_538,plain,
! [X0_8,X1_9] : ( join(meet(X0_8,complement(X1_9)),meet(X0_8,X1_9)) = X0_8 ),
inference(superposition,[status(thm),theory(equality)],[c_8,c_496]) ).
tff(c_6624,plain,
! [X0_132,X0_133] : ( join(complement(X0_132),join(X0_133,X0_132)) = top ),
inference(demodulation,[status(thm),theory(equality)],[c_4266,c_5708]) ).
tff(c_7162,plain,
! [X0_137,X1_138] : ( join(complement(meet(X0_137,X1_138)),X0_137) = top ),
inference(superposition,[status(thm),theory(equality)],[c_538,c_6624]) ).
tff(c_7235,plain,
! [X1_9,X1_138] : ( meet(meet(complement(X1_9),X1_138),X1_9) = complement(top) ),
inference(superposition,[status(thm),theory(equality)],[c_7162,c_8]) ).
tff(c_9128,plain,
! [X1_155,X1_156] : ( meet(meet(complement(X1_155),X1_156),X1_155) = zero ),
inference(demodulation,[status(thm),theory(equality)],[c_146,c_7235]) ).
tff(c_9965,plain,
! [X1_165,X1_166] : ( meet(meet(X1_165,X1_166),complement(X1_165)) = zero ),
inference(superposition,[status(thm),theory(equality)],[c_3293,c_9128]) ).
tff(c_10286,plain,
! [X0_168,X1_169] : ( meet(meet(X0_168,X1_169),complement(X1_169)) = zero ),
inference(superposition,[status(thm),theory(equality)],[c_1447,c_9965]) ).
tff(c_10383,plain,
! [X0_6,X0_123] : ( meet(X0_6,complement(join(X0_123,X0_6))) = zero ),
inference(superposition,[status(thm),theory(equality)],[c_5980,c_10286]) ).
tff(c_50938,plain,
meet(converse('#skF_1'),complement(complement('#skF_2'))) = zero,
inference(superposition,[status(thm),theory(equality)],[c_48521,c_10383]) ).
tff(c_51012,plain,
meet('#skF_2',converse('#skF_1')) = zero,
inference(demodulation,[status(thm),theory(equality)],[c_1447,c_3293,c_50938]) ).
tff(c_51014,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1545,c_51012]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : REL007+1 : TPTP v8.1.2. Released v4.0.0.
% 0.12/0.14 % 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
% 0.13/0.35 % Computer : n023.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Thu Aug 3 15:56:52 EDT 2023
% 0.13/0.35 % CPUTime :
% 16.61/7.71 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 16.74/7.73
% 16.74/7.73 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 17.02/7.78
% 17.02/7.78 Inference rules
% 17.02/7.78 ----------------------
% 17.02/7.78 #Ref : 0
% 17.02/7.78 #Sup : 12740
% 17.02/7.78 #Fact : 0
% 17.02/7.78 #Define : 0
% 17.02/7.78 #Split : 0
% 17.02/7.78 #Chain : 0
% 17.02/7.78 #Close : 0
% 17.02/7.78
% 17.02/7.78 Ordering : KBO
% 17.02/7.78
% 17.02/7.78 Simplification rules
% 17.02/7.78 ----------------------
% 17.02/7.78 #Subsume : 183
% 17.02/7.78 #Demod : 18949
% 17.02/7.78 #Tautology : 8329
% 17.02/7.78 #SimpNegUnit : 1
% 17.02/7.78 #BackRed : 62
% 17.02/7.78
% 17.02/7.78 #Partial instantiations: 0
% 17.02/7.78 #Strategies tried : 1
% 17.02/7.78
% 17.02/7.78 Timing (in seconds)
% 17.02/7.78 ----------------------
% 17.03/7.78 Preprocessing : 0.47
% 17.03/7.78 Parsing : 0.25
% 17.03/7.78 CNF conversion : 0.03
% 17.03/7.78 Main loop : 6.29
% 17.03/7.78 Inferencing : 1.02
% 17.03/7.78 Reduction : 3.90
% 17.03/7.78 Demodulation : 3.58
% 17.03/7.78 BG Simplification : 0.10
% 17.03/7.78 Subsumption : 0.92
% 17.03/7.78 Abstraction : 0.16
% 17.03/7.78 MUC search : 0.00
% 17.03/7.78 Cooper : 0.00
% 17.03/7.78 Total : 6.83
% 17.03/7.78 Index Insertion : 0.00
% 17.03/7.78 Index Deletion : 0.00
% 17.03/7.78 Index Matching : 0.00
% 17.03/7.78 BG Taut test : 0.00
%------------------------------------------------------------------------------