TSTP Solution File: REL006+1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : REL006+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 : n001.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 10:54:25 EDT 2023
% Result : Theorem 16.26s 7.34s
% Output : CNFRefutation 16.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 23
% Syntax : Number of formulae : 134 ( 123 unt; 10 typ; 0 def)
% Number of atoms : 125 ( 124 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 3 ( 2 ~; 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 : 167 (; 167 !; 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_87,negated_conjecture,
~ ! [X0,X1] :
( ( meet(converse(X0),X1) = zero )
=> ( meet(X0,converse(X1)) = zero ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
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_80,axiom,
! [X0] : ( zero = meet(X0,complement(X0)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/REL001+0.ax',def_zero) ).
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_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_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(c_28,plain,
meet('#skF_1',converse('#skF_2')) != zero,
inference(cnfTransformation,[status(thm)],[f_87]) ).
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_26,plain,
! [X0_25] : ( meet(X0_25,complement(X0_25)) = zero ),
inference(cnfTransformation,[status(thm)],[f_80]) ).
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_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_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_1519,plain,
! [X0_68,X1_69] : ( converse(composition(converse(X0_68),X1_69)) = composition(converse(X1_69),X0_68) ),
inference(superposition,[status(thm),theory(equality)],[c_16,c_164]) ).
tff(c_1560,plain,
! [X0_68] : ( composition(converse(one),X0_68) = converse(converse(X0_68)) ),
inference(superposition,[status(thm),theory(equality)],[c_12,c_1519]) ).
tff(c_1573,plain,
! [X0_68] : ( composition(converse(one),X0_68) = X0_68 ),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_1560]) ).
tff(c_1575,plain,
! [X0_70] : ( composition(converse(one),X0_70) = X0_70 ),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_1560]) ).
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_1598,plain,
! [X2_52] : ( composition(converse(one),X2_52) = composition(one,X2_52) ),
inference(superposition,[status(thm),theory(equality)],[c_1575,c_709]) ).
tff(c_1628,plain,
! [X2_52] : ( composition(one,X2_52) = X2_52 ),
inference(demodulation,[status(thm),theory(equality)],[c_1573,c_1598]) ).
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_1609,plain,
converse(one) = one,
inference(superposition,[status(thm),theory(equality)],[c_1575,c_12]) ).
tff(c_1686,plain,
! [X2_71] : ( composition(one,X2_71) = X2_71 ),
inference(demodulation,[status(thm),theory(equality)],[c_1573,c_1598]) ).
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_1698,plain,
! [X2_71] : ( join(composition(converse(one),complement(X2_71)),complement(X2_71)) = complement(X2_71) ),
inference(superposition,[status(thm),theory(equality)],[c_1686,c_22]) ).
tff(c_1779,plain,
! [X2_74] : ( join(complement(X2_74),complement(X2_74)) = complement(X2_74) ),
inference(demodulation,[status(thm),theory(equality)],[c_1628,c_2,c_1609,c_1698]) ).
tff(c_1794,plain,
! [X2_74] : ( meet(X2_74,X2_74) = complement(complement(X2_74)) ),
inference(superposition,[status(thm),theory(equality)],[c_1779,c_8]) ).
tff(c_24,plain,
! [X0_24] : ( join(X0_24,complement(X0_24)) = top ),
inference(cnfTransformation,[status(thm)],[f_78]) ).
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_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_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_370,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_354,c_24]) ).
tff(c_1785,plain,
! [X2_74] : ( join(complement(X2_74),join(complement(X2_74),complement(complement(X2_74)))) = top ),
inference(superposition,[status(thm),theory(equality)],[c_1779,c_370]) ).
tff(c_1836,plain,
! [X2_75] : ( join(top,complement(X2_75)) = top ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_24,c_1785]) ).
tff(c_1850,plain,
! [X0_41] : ( join(X0_41,top) = top ),
inference(superposition,[status(thm),theory(equality)],[c_1836,c_370]) ).
tff(c_30,plain,
meet(converse('#skF_1'),'#skF_2') = zero,
inference(cnfTransformation,[status(thm)],[f_87]) ).
tff(c_552,plain,
join(zero,complement(join(complement(converse('#skF_1')),'#skF_2'))) = converse('#skF_1'),
inference(superposition,[status(thm),theory(equality)],[c_30,c_496]) ).
tff(c_565,plain,
join(zero,complement(join('#skF_2',complement(converse('#skF_1'))))) = converse('#skF_1'),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_552]) ).
tff(c_782,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_354,c_24]) ).
tff(c_892,plain,
! [X0_24] : ( join(X0_24,join(complement(X0_24),complement(top))) = top ),
inference(superposition,[status(thm),theory(equality)],[c_24,c_782]) ).
tff(c_1064,plain,
! [X0_60] : ( join(X0_60,join(zero,complement(X0_60))) = top ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_146,c_892]) ).
tff(c_1093,plain,
join(join('#skF_2',complement(converse('#skF_1'))),converse('#skF_1')) = top,
inference(superposition,[status(thm),theory(equality)],[c_565,c_1064]) ).
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_1353,plain,
join('#skF_2',join(complement(converse('#skF_1')),converse('#skF_1'))) = top,
inference(superposition,[status(thm),theory(equality)],[c_1093,c_4]) ).
tff(c_1372,plain,
join('#skF_2',top) = top,
inference(demodulation,[status(thm),theory(equality)],[c_24,c_2,c_1353]) ).
tff(c_1391,plain,
! [X2_66] : ( join('#skF_2',join(top,X2_66)) = join(top,X2_66) ),
inference(superposition,[status(thm),theory(equality)],[c_1372,c_4]) ).
tff(c_1441,plain,
! [X1_2] : ( join('#skF_2',join(X1_2,top)) = join(top,X1_2) ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_1391]) ).
tff(c_1946,plain,
! [X1_2] : ( join(top,X1_2) = top ),
inference(demodulation,[status(thm),theory(equality)],[c_1850,c_1850,c_1441]) ).
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_1788,plain,
! [X2_74] : ( join(meet(X2_74,complement(X2_74)),complement(complement(X2_74))) = X2_74 ),
inference(superposition,[status(thm),theory(equality)],[c_1779,c_31]) ).
tff(c_2183,plain,
! [X2_80] : ( join(zero,complement(complement(X2_80))) = X2_80 ),
inference(demodulation,[status(thm),theory(equality)],[c_26,c_1788]) ).
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_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_2443,plain,
! [X2_85] : ( meet(complement(X2_85),top) = complement(X2_85) ),
inference(superposition,[status(thm),theory(equality)],[c_2183,c_162]) ).
tff(c_2453,plain,
! [X2_85] : ( join(complement(X2_85),complement(join(complement(complement(X2_85)),top))) = complement(X2_85) ),
inference(superposition,[status(thm),theory(equality)],[c_2443,c_31]) ).
tff(c_2973,plain,
! [X2_94] : ( join(zero,complement(X2_94)) = complement(X2_94) ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_146,c_1946,c_2,c_2453]) ).
tff(c_3008,plain,
! [X2_74] : ( join(zero,meet(X2_74,X2_74)) = complement(complement(X2_74)) ),
inference(superposition,[status(thm),theory(equality)],[c_1794,c_2973]) ).
tff(c_3026,plain,
! [X2_74] : ( complement(complement(X2_74)) = X2_74 ),
inference(demodulation,[status(thm),theory(equality)],[c_564,c_3008]) ).
tff(c_1824,plain,
! [X2_74] : ( join(zero,complement(complement(X2_74))) = X2_74 ),
inference(demodulation,[status(thm),theory(equality)],[c_26,c_1788]) ).
tff(c_3128,plain,
! [X2_74] : ( join(zero,X2_74) = X2_74 ),
inference(demodulation,[status(thm),theory(equality)],[c_3026,c_1824]) ).
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_3223,plain,
! [X0_96,X0_97] : ( converse(join(X0_96,converse(X0_97))) = join(converse(X0_96),X0_97) ),
inference(superposition,[status(thm),theory(equality)],[c_16,c_248]) ).
tff(c_4418,plain,
! [X0_109] : ( join(converse(top),X0_109) = converse(top) ),
inference(superposition,[status(thm),theory(equality)],[c_1946,c_3223]) ).
tff(c_399,plain,
! [X0_24,X2_43] : ( join(X0_24,join(complement(X0_24),X2_43)) = join(top,X2_43) ),
inference(superposition,[status(thm),theory(equality)],[c_24,c_354]) ).
tff(c_2299,plain,
! [X0_24,X2_43] : ( join(X0_24,join(complement(X0_24),X2_43)) = top ),
inference(demodulation,[status(thm),theory(equality)],[c_1946,c_399]) ).
tff(c_4438,plain,
converse(top) = top,
inference(superposition,[status(thm),theory(equality)],[c_4418,c_2299]) ).
tff(c_2484,plain,
! [X2_85] : ( join(zero,complement(X2_85)) = complement(X2_85) ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_146,c_1946,c_2,c_2453]) ).
tff(c_2545,plain,
! [X1_87,X0_88] : ( complement(join(complement(X1_87),complement(X0_88))) = meet(X0_88,X1_87) ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_109]) ).
tff(c_2690,plain,
! [X1_89,X0_90] : ( meet(X1_89,X0_90) = meet(X0_90,X1_89) ),
inference(superposition,[status(thm),theory(equality)],[c_2545,c_8]) ).
tff(c_2737,plain,
meet('#skF_2',converse('#skF_1')) = zero,
inference(superposition,[status(thm),theory(equality)],[c_2690,c_30]) ).
tff(c_2810,plain,
join(zero,complement(join(complement('#skF_2'),converse('#skF_1')))) = '#skF_2',
inference(superposition,[status(thm),theory(equality)],[c_2737,c_31]) ).
tff(c_3042,plain,
complement(join(complement('#skF_2'),converse('#skF_1'))) = '#skF_2',
inference(superposition,[status(thm),theory(equality)],[c_2484,c_2810]) ).
tff(c_3473,plain,
join(complement('#skF_2'),converse('#skF_1')) = complement('#skF_2'),
inference(superposition,[status(thm),theory(equality)],[c_3042,c_3026]) ).
tff(c_2820,plain,
! [X0_91,X1_92] : ( converse(join(converse(X0_91),X1_92)) = join(X0_91,converse(X1_92)) ),
inference(superposition,[status(thm),theory(equality)],[c_16,c_248]) ).
tff(c_29757,plain,
! [X1_300,X0_301] : ( converse(join(X1_300,converse(X0_301))) = join(X0_301,converse(X1_300)) ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_2820]) ).
tff(c_29978,plain,
join('#skF_1',converse(complement('#skF_2'))) = converse(complement('#skF_2')),
inference(superposition,[status(thm),theory(equality)],[c_3473,c_29757]) ).
tff(c_5809,plain,
! [X0_124,X1_125,X2_126] : ( join(join(X0_124,X1_125),X2_126) = join(X1_125,join(X0_124,X2_126)) ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_354]) ).
tff(c_6020,plain,
! [X0_24,X2_126] : ( join(complement(X0_24),join(X0_24,X2_126)) = join(top,X2_126) ),
inference(superposition,[status(thm),theory(equality)],[c_24,c_5809]) ).
tff(c_6055,plain,
! [X0_24,X2_126] : ( join(complement(X0_24),join(X0_24,X2_126)) = top ),
inference(demodulation,[status(thm),theory(equality)],[c_1946,c_6020]) ).
tff(c_31514,plain,
join(complement('#skF_1'),converse(complement('#skF_2'))) = top,
inference(superposition,[status(thm),theory(equality)],[c_29978,c_6055]) ).
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_32539,plain,
join(converse(complement('#skF_1')),complement('#skF_2')) = converse(top),
inference(superposition,[status(thm),theory(equality)],[c_31514,c_272]) ).
tff(c_32577,plain,
join(converse(complement('#skF_1')),complement('#skF_2')) = top,
inference(demodulation,[status(thm),theory(equality)],[c_4438,c_32539]) ).
tff(c_546,plain,
! [X0_46,X0_1] : ( join(meet(X0_46,X0_1),complement(join(X0_1,complement(X0_46)))) = X0_46 ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_496]) ).
tff(c_33196,plain,
join(meet('#skF_2',converse(complement('#skF_1'))),complement(top)) = '#skF_2',
inference(superposition,[status(thm),theory(equality)],[c_32577,c_546]) ).
tff(c_33261,plain,
meet('#skF_2',converse(complement('#skF_1'))) = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_3128,c_2,c_146,c_33196]) ).
tff(c_4810,plain,
! [X2_113,X0_114,X1_115] : ( join(X2_113,join(X0_114,X1_115)) = join(X0_114,join(X1_115,X2_113)) ),
inference(superposition,[status(thm),theory(equality)],[c_354,c_2]) ).
tff(c_5148,plain,
! [X0_24,X0_114] : ( join(complement(X0_24),join(X0_114,X0_24)) = join(X0_114,top) ),
inference(superposition,[status(thm),theory(equality)],[c_24,c_4810]) ).
tff(c_5213,plain,
! [X0_116,X0_117] : ( join(complement(X0_116),join(X0_117,X0_116)) = top ),
inference(demodulation,[status(thm),theory(equality)],[c_1850,c_5148]) ).
tff(c_5242,plain,
! [X0_116,X0_117] : ( join(meet(X0_116,join(X0_117,X0_116)),complement(top)) = X0_116 ),
inference(superposition,[status(thm),theory(equality)],[c_5213,c_31]) ).
tff(c_5361,plain,
! [X0_116,X0_117] : ( meet(X0_116,join(X0_117,X0_116)) = X0_116 ),
inference(demodulation,[status(thm),theory(equality)],[c_3128,c_2,c_146,c_5242]) ).
tff(c_19960,plain,
! [X0_232,X0_233,X1_234] : ( meet(X0_232,join(complement(X0_233),complement(X1_234))) = complement(join(complement(X0_232),meet(X0_233,X1_234))) ),
inference(superposition,[status(thm),theory(equality)],[c_109,c_8]) ).
tff(c_20153,plain,
! [X1_234,X0_233] : ( complement(join(complement(complement(X1_234)),meet(X0_233,X1_234))) = complement(X1_234) ),
inference(superposition,[status(thm),theory(equality)],[c_5361,c_19960]) ).
tff(c_20746,plain,
! [X1_237,X0_238] : ( complement(join(X1_237,meet(X0_238,X1_237))) = complement(X1_237) ),
inference(demodulation,[status(thm),theory(equality)],[c_3026,c_20153]) ).
tff(c_20857,plain,
! [X1_237,X0_238] : ( join(X1_237,meet(X0_238,X1_237)) = complement(complement(X1_237)) ),
inference(superposition,[status(thm),theory(equality)],[c_20746,c_3026]) ).
tff(c_21120,plain,
! [X1_239,X0_240] : ( join(X1_239,meet(X0_240,X1_239)) = X1_239 ),
inference(demodulation,[status(thm),theory(equality)],[c_3026,c_20857]) ).
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_21227,plain,
! [X0_17,X0_240] : ( join(X0_17,converse(meet(X0_240,converse(X0_17)))) = converse(converse(X0_17)) ),
inference(superposition,[status(thm),theory(equality)],[c_21120,c_269]) ).
tff(c_50094,plain,
! [X0_367,X0_368] : ( join(X0_367,converse(meet(X0_368,converse(X0_367)))) = X0_367 ),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_21227]) ).
tff(c_50360,plain,
join(complement('#skF_1'),converse('#skF_2')) = complement('#skF_1'),
inference(superposition,[status(thm),theory(equality)],[c_33261,c_50094]) ).
tff(c_2611,plain,
! [X1_87,X0_88] : ( meet(X1_87,X0_88) = meet(X0_88,X1_87) ),
inference(superposition,[status(thm),theory(equality)],[c_2545,c_8]) ).
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_6270,plain,
! [X0_129,X1_130] : ( join(complement(meet(X0_129,X1_130)),X0_129) = top ),
inference(superposition,[status(thm),theory(equality)],[c_538,c_5213]) ).
tff(c_139,plain,
! [X1_33,X0_32] : ( complement(join(complement(X1_33),complement(X0_32))) = meet(X0_32,X1_33) ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_109]) ).
tff(c_6316,plain,
! [X0_32,X1_130] : ( meet(X0_32,meet(complement(X0_32),X1_130)) = complement(top) ),
inference(superposition,[status(thm),theory(equality)],[c_6270,c_139]) ).
tff(c_7155,plain,
! [X0_137,X1_138] : ( meet(X0_137,meet(complement(X0_137),X1_138)) = zero ),
inference(demodulation,[status(thm),theory(equality)],[c_146,c_6316]) ).
tff(c_9183,plain,
! [X2_157,X1_158] : ( meet(complement(X2_157),meet(X2_157,X1_158)) = zero ),
inference(superposition,[status(thm),theory(equality)],[c_3026,c_7155]) ).
tff(c_9656,plain,
! [X0_161,X1_162] : ( meet(complement(X0_161),meet(X1_162,X0_161)) = zero ),
inference(superposition,[status(thm),theory(equality)],[c_2611,c_9183]) ).
tff(c_9738,plain,
! [X0_117,X0_116] : ( meet(complement(join(X0_117,X0_116)),X0_116) = zero ),
inference(superposition,[status(thm),theory(equality)],[c_5361,c_9656]) ).
tff(c_52047,plain,
meet(complement(complement('#skF_1')),converse('#skF_2')) = zero,
inference(superposition,[status(thm),theory(equality)],[c_50360,c_9738]) ).
tff(c_52118,plain,
meet('#skF_1',converse('#skF_2')) = zero,
inference(demodulation,[status(thm),theory(equality)],[c_3026,c_52047]) ).
tff(c_52120,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_28,c_52118]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : REL006+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
% 0.14/0.36 % Computer : n001.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Thu Aug 3 16:08:40 EDT 2023
% 0.14/0.36 % CPUTime :
% 16.26/7.34 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 16.26/7.36
% 16.26/7.36 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 16.26/7.40
% 16.26/7.40 Inference rules
% 16.26/7.40 ----------------------
% 16.26/7.40 #Ref : 0
% 16.26/7.40 #Sup : 13088
% 16.26/7.40 #Fact : 0
% 16.26/7.40 #Define : 0
% 16.26/7.40 #Split : 0
% 16.26/7.40 #Chain : 0
% 16.26/7.40 #Close : 0
% 16.26/7.40
% 16.26/7.40 Ordering : KBO
% 16.26/7.40
% 16.26/7.40 Simplification rules
% 16.26/7.40 ----------------------
% 16.26/7.40 #Subsume : 185
% 16.26/7.40 #Demod : 19207
% 16.26/7.40 #Tautology : 8649
% 16.26/7.40 #SimpNegUnit : 1
% 16.26/7.40 #BackRed : 43
% 16.26/7.40
% 16.26/7.40 #Partial instantiations: 0
% 16.26/7.40 #Strategies tried : 1
% 16.26/7.40
% 16.26/7.40 Timing (in seconds)
% 16.26/7.40 ----------------------
% 16.26/7.40 Preprocessing : 0.47
% 16.26/7.40 Parsing : 0.25
% 16.26/7.40 CNF conversion : 0.03
% 16.26/7.40 Main loop : 5.83
% 16.26/7.40 Inferencing : 0.96
% 16.26/7.40 Reduction : 3.59
% 16.26/7.41 Demodulation : 3.30
% 16.26/7.41 BG Simplification : 0.09
% 16.26/7.41 Subsumption : 0.87
% 16.26/7.41 Abstraction : 0.15
% 16.26/7.41 MUC search : 0.00
% 16.26/7.41 Cooper : 0.00
% 16.26/7.41 Total : 6.37
% 16.26/7.41 Index Insertion : 0.00
% 16.26/7.41 Index Deletion : 0.00
% 16.26/7.41 Index Matching : 0.00
% 16.26/7.41 BG Taut test : 0.00
%------------------------------------------------------------------------------