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/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 : n006.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 : Unsatisfiable 13.19s 4.90s
% Output : CNFRefutation 13.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 36
% Number of leaves : 24
% Syntax : Number of formulae : 137 ( 127 unt; 10 typ; 0 def)
% Number of atoms : 127 ( 126 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 8 ( 5 >; 3 *; 0 +; 0 <<)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 5 con; 0-2 aty)
% Number of variables : 155 (; 155 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ meet > join > composition > #nlpp > converse > complement > zero > top > sk2 > sk1 > one
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(top,type,
top: $i ).
tff(sk2,type,
sk2: $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_47,axiom,
! [A,B] : ( join(A,B) = join(B,A) ),
file(unknown,unknown) ).
tff(f_53,axiom,
! [A,B] : ( meet(A,B) = complement(join(complement(A),complement(B))) ),
file(unknown,unknown) ).
tff(f_76,axiom,
meet(converse(sk1),sk2) != zero,
file(unknown,unknown) ).
tff(f_71,axiom,
! [A] : ( zero = meet(A,complement(A)) ),
file(unknown,unknown) ).
tff(f_69,axiom,
! [A] : ( top = join(A,complement(A)) ),
file(unknown,unknown) ).
tff(f_51,axiom,
! [A,B] : ( A = join(complement(join(complement(A),complement(B))),complement(join(complement(A),B))) ),
file(unknown,unknown) ).
tff(f_49,axiom,
! [A,B,C] : ( join(A,join(B,C)) = join(join(A,B),C) ),
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_67,axiom,
! [A,B] : ( join(composition(converse(A),complement(composition(A,B))),complement(B)) = complement(B) ),
file(unknown,unknown) ).
tff(f_63,axiom,
! [A,B] : ( converse(join(A,B)) = join(converse(A),converse(B)) ),
file(unknown,unknown) ).
tff(f_74,axiom,
meet(sk1,converse(sk2)) = zero,
file(unknown,unknown) ).
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_109,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_1705,plain,
! [B_73,A_74] : ( complement(join(complement(B_73),complement(A_74))) = meet(A_74,B_73) ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_109]) ).
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_1738,plain,
! [B_73,A_74] : ( meet(B_73,A_74) = meet(A_74,B_73) ),
inference(superposition,[status(thm),theory(equality)],[c_1705,c_8]) ).
tff(c_30,plain,
meet(converse(sk1),sk2) != zero,
inference(cnfTransformation,[status(thm)],[f_76]) ).
tff(c_1831,plain,
meet(sk2,converse(sk1)) != zero,
inference(demodulation,[status(thm),theory(equality)],[c_1738,c_30]) ).
tff(c_26,plain,
! [A_25] : ( meet(A_25,complement(A_25)) = zero ),
inference(cnfTransformation,[status(thm)],[f_71]) ).
tff(c_24,plain,
! [A_24] : ( join(A_24,complement(A_24)) = top ),
inference(cnfTransformation,[status(thm)],[f_69]) ).
tff(c_143,plain,
! [A_32] : ( meet(A_32,complement(A_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,
! [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_496,plain,
! [A_46,B_47] : ( join(meet(A_46,B_47),complement(join(complement(A_46),B_47))) = A_46 ),
inference(demodulation,[status(thm),theory(equality)],[c_8,c_6]) ).
tff(c_553,plain,
! [A_46] : ( join(meet(A_46,complement(complement(A_46))),complement(top)) = A_46 ),
inference(superposition,[status(thm),theory(equality)],[c_24,c_496]) ).
tff(c_565,plain,
! [A_46] : ( join(zero,meet(A_46,complement(complement(A_46)))) = A_46 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_146,c_553]) ).
tff(c_159,plain,
join(top,zero) = top,
inference(superposition,[status(thm),theory(equality)],[c_146,c_24]) ).
tff(c_354,plain,
! [A_41,B_42,C_43] : ( join(join(A_41,B_42),C_43) = join(A_41,join(B_42,C_43)) ),
inference(cnfTransformation,[status(thm)],[f_49]) ).
tff(c_408,plain,
! [C_44] : ( join(top,join(zero,C_44)) = join(top,C_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,
! [A_8] : ( complement(join(complement(A_8),zero)) = meet(A_8,top) ),
inference(superposition,[status(thm),theory(equality)],[c_146,c_8]) ).
tff(c_187,plain,
! [A_36] : ( complement(join(zero,complement(A_36))) = meet(A_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,
! [C_43] : ( join(top,join(zero,C_43)) = join(top,C_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_869,plain,
! [A_61,B_62] : ( join(A_61,join(B_62,complement(join(A_61,B_62)))) = top ),
inference(superposition,[status(thm),theory(equality)],[c_24,c_354]) ).
tff(c_919,plain,
join(top,top) = top,
inference(superposition,[status(thm),theory(equality)],[c_597,c_869]) ).
tff(c_1009,plain,
join(zero,complement(top)) = zero,
inference(demodulation,[status(thm),theory(equality)],[c_919,c_562]) ).
tff(c_1012,plain,
join(zero,zero) = zero,
inference(demodulation,[status(thm),theory(equality)],[c_146,c_1009]) ).
tff(c_4,plain,
! [A_3,B_4,C_5] : ( join(join(A_3,B_4),C_5) = join(A_3,join(B_4,C_5)) ),
inference(cnfTransformation,[status(thm)],[f_49]) ).
tff(c_1096,plain,
! [C_63] : ( join(zero,join(zero,C_63)) = join(zero,C_63) ),
inference(superposition,[status(thm),theory(equality)],[c_1012,c_4]) ).
tff(c_1141,plain,
! [A_46] : ( join(zero,meet(A_46,complement(complement(A_46)))) = join(zero,A_46) ),
inference(superposition,[status(thm),theory(equality)],[c_565,c_1096]) ).
tff(c_1170,plain,
! [A_46] : ( join(zero,A_46) = A_46 ),
inference(demodulation,[status(thm),theory(equality)],[c_565,c_1141]) ).
tff(c_1765,plain,
! [B_73] : ( complement(join(complement(B_73),zero)) = meet(top,B_73) ),
inference(superposition,[status(thm),theory(equality)],[c_146,c_1705]) ).
tff(c_1790,plain,
! [B_73] : ( complement(complement(B_73)) = meet(top,B_73) ),
inference(demodulation,[status(thm),theory(equality)],[c_1170,c_2,c_1765]) ).
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_164,plain,
! [B_34,A_35] : ( composition(converse(B_34),converse(A_35)) = converse(composition(A_35,B_34)) ),
inference(cnfTransformation,[status(thm)],[f_65]) ).
tff(c_2266,plain,
! [A_85,B_86] : ( converse(composition(converse(A_85),B_86)) = composition(converse(B_86),A_85) ),
inference(superposition,[status(thm),theory(equality)],[c_16,c_164]) ).
tff(c_2339,plain,
! [A_85] : ( composition(converse(one),A_85) = converse(converse(A_85)) ),
inference(superposition,[status(thm),theory(equality)],[c_12,c_2266]) ).
tff(c_2355,plain,
! [A_85] : ( composition(converse(one),A_85) = A_85 ),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_2339]) ).
tff(c_2357,plain,
! [A_87] : ( composition(converse(one),A_87) = A_87 ),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_2339]) ).
tff(c_599,plain,
! [A_49,B_50,C_51] : ( composition(composition(A_49,B_50),C_51) = composition(A_49,composition(B_50,C_51)) ),
inference(cnfTransformation,[status(thm)],[f_55]) ).
tff(c_621,plain,
! [A_13,C_51] : ( composition(A_13,composition(one,C_51)) = composition(A_13,C_51) ),
inference(superposition,[status(thm),theory(equality)],[c_12,c_599]) ).
tff(c_2377,plain,
! [C_51] : ( composition(converse(one),C_51) = composition(one,C_51) ),
inference(superposition,[status(thm),theory(equality)],[c_2357,c_621]) ).
tff(c_2414,plain,
! [C_51] : ( composition(one,C_51) = C_51 ),
inference(demodulation,[status(thm),theory(equality)],[c_2355,c_2377]) ).
tff(c_2395,plain,
converse(one) = one,
inference(superposition,[status(thm),theory(equality)],[c_2357,c_12]) ).
tff(c_2526,plain,
! [C_89] : ( composition(one,C_89) = C_89 ),
inference(demodulation,[status(thm),theory(equality)],[c_2355,c_2377]) ).
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_2542,plain,
! [C_89] : ( join(composition(converse(one),complement(C_89)),complement(C_89)) = complement(C_89) ),
inference(superposition,[status(thm),theory(equality)],[c_2526,c_22]) ).
tff(c_2664,plain,
! [C_91] : ( join(complement(C_91),complement(C_91)) = complement(C_91) ),
inference(demodulation,[status(thm),theory(equality)],[c_2414,c_2,c_2395,c_2542]) ).
tff(c_31,plain,
! [A_6,B_7] : ( join(meet(A_6,B_7),complement(join(complement(A_6),B_7))) = A_6 ),
inference(demodulation,[status(thm),theory(equality)],[c_8,c_6]) ).
tff(c_2676,plain,
! [C_91] : ( join(meet(C_91,complement(C_91)),complement(complement(C_91))) = C_91 ),
inference(superposition,[status(thm),theory(equality)],[c_2664,c_31]) ).
tff(c_2725,plain,
! [C_91] : ( meet(top,C_91) = C_91 ),
inference(demodulation,[status(thm),theory(equality)],[c_1790,c_1170,c_26,c_2676]) ).
tff(c_2742,plain,
! [B_73] : ( complement(complement(B_73)) = B_73 ),
inference(demodulation,[status(thm),theory(equality)],[c_2725,c_1790]) ).
tff(c_2818,plain,
! [B_93] : ( complement(complement(B_93)) = B_93 ),
inference(demodulation,[status(thm),theory(equality)],[c_2725,c_1790]) ).
tff(c_2559,plain,
! [C_89] : ( join(complement(C_89),complement(C_89)) = complement(C_89) ),
inference(demodulation,[status(thm),theory(equality)],[c_2414,c_2,c_2395,c_2542]) ).
tff(c_2830,plain,
! [B_93] : ( join(complement(complement(B_93)),B_93) = complement(complement(B_93)) ),
inference(superposition,[status(thm),theory(equality)],[c_2818,c_2559]) ).
tff(c_2965,plain,
! [B_95] : ( join(B_95,B_95) = B_95 ),
inference(demodulation,[status(thm),theory(equality)],[c_2742,c_2742,c_2830]) ).
tff(c_403,plain,
! [A_41,B_42] : ( join(A_41,join(B_42,complement(join(A_41,B_42)))) = top ),
inference(superposition,[status(thm),theory(equality)],[c_24,c_354]) ).
tff(c_2991,plain,
! [B_95] : ( join(B_95,join(B_95,complement(B_95))) = top ),
inference(superposition,[status(thm),theory(equality)],[c_2965,c_403]) ).
tff(c_3141,plain,
! [B_97] : ( join(B_97,top) = top ),
inference(demodulation,[status(thm),theory(equality)],[c_24,c_2991]) ).
tff(c_3216,plain,
! [B_98] : ( join(top,B_98) = top ),
inference(superposition,[status(thm),theory(equality)],[c_3141,c_2]) ).
tff(c_248,plain,
! [A_37,B_38] : ( join(converse(A_37),converse(B_38)) = converse(join(A_37,B_38)) ),
inference(cnfTransformation,[status(thm)],[f_63]) ).
tff(c_1311,plain,
! [A_65,B_66] : ( converse(join(converse(A_65),B_66)) = join(A_65,converse(B_66)) ),
inference(superposition,[status(thm),theory(equality)],[c_16,c_248]) ).
tff(c_1360,plain,
! [A_65] : ( join(A_65,converse(complement(converse(A_65)))) = converse(top) ),
inference(superposition,[status(thm),theory(equality)],[c_24,c_1311]) ).
tff(c_3228,plain,
converse(top) = top,
inference(superposition,[status(thm),theory(equality)],[c_3216,c_1360]) ).
tff(c_1192,plain,
! [A_64] : ( join(zero,A_64) = A_64 ),
inference(demodulation,[status(thm),theory(equality)],[c_565,c_1141]) ).
tff(c_28,plain,
meet(sk1,converse(sk2)) = zero,
inference(cnfTransformation,[status(thm)],[f_74]) ).
tff(c_556,plain,
join(zero,complement(join(complement(sk1),converse(sk2)))) = sk1,
inference(superposition,[status(thm),theory(equality)],[c_28,c_496]) ).
tff(c_1198,plain,
complement(join(complement(sk1),converse(sk2))) = sk1,
inference(superposition,[status(thm),theory(equality)],[c_1192,c_556]) ).
tff(c_3833,plain,
join(complement(sk1),converse(sk2)) = complement(sk1),
inference(superposition,[status(thm),theory(equality)],[c_1198,c_2742]) ).
tff(c_272,plain,
! [A_37,A_17] : ( converse(join(A_37,converse(A_17))) = join(converse(A_37),A_17) ),
inference(superposition,[status(thm),theory(equality)],[c_16,c_248]) ).
tff(c_3884,plain,
join(converse(complement(sk1)),sk2) = converse(complement(sk1)),
inference(superposition,[status(thm),theory(equality)],[c_3833,c_272]) ).
tff(c_3175,plain,
! [B_97] : ( join(top,B_97) = top ),
inference(superposition,[status(thm),theory(equality)],[c_3141,c_2]) ).
tff(c_5308,plain,
! [A_121,B_122,C_123] : ( join(join(A_121,B_122),C_123) = join(B_122,join(A_121,C_123)) ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_354]) ).
tff(c_5508,plain,
! [A_24,C_123] : ( join(complement(A_24),join(A_24,C_123)) = join(top,C_123) ),
inference(superposition,[status(thm),theory(equality)],[c_24,c_5308]) ).
tff(c_5542,plain,
! [A_124,C_125] : ( join(complement(A_124),join(A_124,C_125)) = top ),
inference(demodulation,[status(thm),theory(equality)],[c_3175,c_5508]) ).
tff(c_5675,plain,
! [A_1,B_2] : ( join(complement(A_1),join(B_2,A_1)) = top ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_5542]) ).
tff(c_16270,plain,
join(complement(sk2),converse(complement(sk1))) = top,
inference(superposition,[status(thm),theory(equality)],[c_3884,c_5675]) ).
tff(c_16456,plain,
join(converse(complement(sk2)),complement(sk1)) = converse(top),
inference(superposition,[status(thm),theory(equality)],[c_16270,c_272]) ).
tff(c_16488,plain,
join(converse(complement(sk2)),complement(sk1)) = top,
inference(demodulation,[status(thm),theory(equality)],[c_3228,c_16456]) ).
tff(c_546,plain,
! [A_46,A_1] : ( join(meet(A_46,A_1),complement(join(A_1,complement(A_46)))) = A_46 ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_496]) ).
tff(c_16664,plain,
join(meet(sk1,converse(complement(sk2))),complement(top)) = sk1,
inference(superposition,[status(thm),theory(equality)],[c_16488,c_546]) ).
tff(c_16726,plain,
meet(sk1,converse(complement(sk2))) = sk1,
inference(demodulation,[status(thm),theory(equality)],[c_1170,c_2,c_146,c_16664]) ).
tff(c_538,plain,
! [A_8,B_9] : ( join(meet(A_8,complement(B_9)),meet(A_8,B_9)) = A_8 ),
inference(superposition,[status(thm),theory(equality)],[c_8,c_496]) ).
tff(c_2885,plain,
! [B_93] : ( join(B_93,B_93) = B_93 ),
inference(demodulation,[status(thm),theory(equality)],[c_2742,c_2742,c_2830]) ).
tff(c_7236,plain,
! [C_142,A_143,B_144] : ( join(C_142,join(A_143,B_144)) = join(A_143,join(B_144,C_142)) ),
inference(superposition,[status(thm),theory(equality)],[c_354,c_2]) ).
tff(c_13650,plain,
! [B_193,A_194] : ( join(B_193,join(A_194,B_193)) = join(A_194,B_193) ),
inference(superposition,[status(thm),theory(equality)],[c_2885,c_7236]) ).
tff(c_13899,plain,
! [A_8,B_9] : ( join(meet(A_8,complement(B_9)),meet(A_8,B_9)) = join(meet(A_8,B_9),A_8) ),
inference(superposition,[status(thm),theory(equality)],[c_538,c_13650]) ).
tff(c_14045,plain,
! [A_195,B_196] : ( join(A_195,meet(A_195,B_196)) = A_195 ),
inference(demodulation,[status(thm),theory(equality)],[c_538,c_2,c_13899]) ).
tff(c_14593,plain,
! [A_199,B_200] : ( join(A_199,meet(B_200,A_199)) = A_199 ),
inference(superposition,[status(thm),theory(equality)],[c_1738,c_14045]) ).
tff(c_269,plain,
! [A_17,B_38] : ( converse(join(converse(A_17),B_38)) = join(A_17,converse(B_38)) ),
inference(superposition,[status(thm),theory(equality)],[c_16,c_248]) ).
tff(c_14672,plain,
! [A_17,B_200] : ( join(A_17,converse(meet(B_200,converse(A_17)))) = converse(converse(A_17)) ),
inference(superposition,[status(thm),theory(equality)],[c_14593,c_269]) ).
tff(c_30817,plain,
! [A_290,B_291] : ( join(A_290,converse(meet(B_291,converse(A_290)))) = A_290 ),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_14672]) ).
tff(c_31019,plain,
join(complement(sk2),converse(sk1)) = complement(sk2),
inference(superposition,[status(thm),theory(equality)],[c_16726,c_30817]) ).
tff(c_399,plain,
! [A_24,C_43] : ( join(A_24,join(complement(A_24),C_43)) = join(top,C_43) ),
inference(superposition,[status(thm),theory(equality)],[c_24,c_354]) ).
tff(c_4617,plain,
! [A_111,C_112] : ( join(A_111,join(complement(A_111),C_112)) = top ),
inference(demodulation,[status(thm),theory(equality)],[c_3175,c_399]) ).
tff(c_4643,plain,
! [A_6,C_112] : ( join(meet(A_6,join(complement(complement(A_6)),C_112)),complement(top)) = A_6 ),
inference(superposition,[status(thm),theory(equality)],[c_4617,c_31]) ).
tff(c_4734,plain,
! [A_6,C_112] : ( meet(A_6,join(A_6,C_112)) = A_6 ),
inference(demodulation,[status(thm),theory(equality)],[c_2742,c_1170,c_2,c_146,c_4643]) ).
tff(c_5720,plain,
! [A_126,B_127] : ( join(complement(meet(A_126,B_127)),A_126) = top ),
inference(superposition,[status(thm),theory(equality)],[c_31,c_5542]) ).
tff(c_5774,plain,
! [B_9,B_127] : ( meet(meet(complement(B_9),B_127),B_9) = complement(top) ),
inference(superposition,[status(thm),theory(equality)],[c_5720,c_8]) ).
tff(c_6716,plain,
! [B_136,B_137] : ( meet(meet(complement(B_136),B_137),B_136) = zero ),
inference(demodulation,[status(thm),theory(equality)],[c_146,c_5774]) ).
tff(c_9594,plain,
! [B_160,B_161] : ( meet(meet(B_160,B_161),complement(B_160)) = zero ),
inference(superposition,[status(thm),theory(equality)],[c_2742,c_6716]) ).
tff(c_10215,plain,
! [A_166,B_167] : ( meet(meet(A_166,B_167),complement(B_167)) = zero ),
inference(superposition,[status(thm),theory(equality)],[c_1738,c_9594]) ).
tff(c_10432,plain,
! [A_168,C_169] : ( meet(A_168,complement(join(A_168,C_169))) = zero ),
inference(superposition,[status(thm),theory(equality)],[c_4734,c_10215]) ).
tff(c_10633,plain,
! [A_1,B_2] : ( meet(A_1,complement(join(B_2,A_1))) = zero ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_10432]) ).
tff(c_31693,plain,
meet(converse(sk1),complement(complement(sk2))) = zero,
inference(superposition,[status(thm),theory(equality)],[c_31019,c_10633]) ).
tff(c_31764,plain,
meet(sk2,converse(sk1)) = zero,
inference(demodulation,[status(thm),theory(equality)],[c_1738,c_2742,c_31693]) ).
tff(c_31766,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1831,c_31764]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : REL007-1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.13 % 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
% 0.13/0.35 % Computer : n006.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 15:32:58 EDT 2023
% 0.13/0.35 % CPUTime :
% 13.19/4.90 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 13.19/4.92
% 13.19/4.92 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 13.46/4.96
% 13.46/4.96 Inference rules
% 13.46/4.96 ----------------------
% 13.46/4.96 #Ref : 0
% 13.46/4.96 #Sup : 8001
% 13.46/4.96 #Fact : 0
% 13.46/4.96 #Define : 0
% 13.46/4.96 #Split : 0
% 13.46/4.96 #Chain : 0
% 13.46/4.96 #Close : 0
% 13.46/4.96
% 13.46/4.96 Ordering : KBO
% 13.46/4.96
% 13.46/4.96 Simplification rules
% 13.46/4.96 ----------------------
% 13.46/4.96 #Subsume : 117
% 13.46/4.96 #Demod : 11156
% 13.46/4.96 #Tautology : 5071
% 13.46/4.96 #SimpNegUnit : 1
% 13.46/4.96 #BackRed : 47
% 13.46/4.96
% 13.46/4.96 #Partial instantiations: 0
% 13.46/4.96 #Strategies tried : 1
% 13.46/4.96
% 13.46/4.96 Timing (in seconds)
% 13.46/4.96 ----------------------
% 13.46/4.96 Preprocessing : 0.42
% 13.46/4.96 Parsing : 0.22
% 13.46/4.96 CNF conversion : 0.02
% 13.46/4.96 Main loop : 3.49
% 13.46/4.96 Inferencing : 0.73
% 13.46/4.96 Reduction : 1.99
% 13.46/4.96 Demodulation : 1.79
% 13.46/4.96 BG Simplification : 0.07
% 13.46/4.96 Subsumption : 0.52
% 13.46/4.96 Abstraction : 0.11
% 13.46/4.96 MUC search : 0.00
% 13.46/4.96 Cooper : 0.00
% 13.46/4.96 Total : 3.98
% 13.46/4.96 Index Insertion : 0.00
% 13.46/4.96 Index Deletion : 0.00
% 13.46/4.96 Index Matching : 0.00
% 13.46/4.96 BG Taut test : 0.00
%------------------------------------------------------------------------------