TSTP Solution File: REL010-2 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : REL010-2 : 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 : n002.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 : Unsatisfiable 15.12s 5.94s
% Output : CNFRefutation 15.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 27
% Syntax : Number of formulae : 131 ( 120 unt; 11 typ; 0 def)
% Number of atoms : 120 ( 119 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 9 ( 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 : 11 ( 11 usr; 6 con; 0-2 aty)
% Number of variables : 161 (; 161 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ meet > join > composition > #nlpp > converse > complement > zero > top > sk3 > 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(sk3,type,
sk3: $i ).
tff(zero,type,
zero: $i ).
tff(f_107,axiom,
meet(sk2,composition(converse(sk1),sk3)) != zero,
file(unknown,unknown) ).
tff(f_70,axiom,
! [A] : ( top = join(A,complement(A)) ),
file(unknown,unknown) ).
tff(f_62,axiom,
! [A] : ( converse(converse(A)) = A ),
file(unknown,unknown) ).
tff(f_64,axiom,
! [A,B] : ( converse(join(A,B)) = join(converse(A),converse(B)) ),
file(unknown,unknown) ).
tff(f_72,axiom,
! [A] : ( zero = meet(A,complement(A)) ),
file(unknown,unknown) ).
tff(f_54,axiom,
! [A,B] : ( meet(A,B) = complement(join(complement(A),complement(B))) ),
file(unknown,unknown) ).
tff(f_48,axiom,
! [A,B] : ( join(A,B) = join(B,A) ),
file(unknown,unknown) ).
tff(f_50,axiom,
! [A,B,C] : ( join(A,join(B,C)) = join(join(A,B),C) ),
file(unknown,unknown) ).
tff(f_52,axiom,
! [A,B] : ( A = join(complement(join(complement(A),complement(B))),complement(join(complement(A),B))) ),
file(unknown,unknown) ).
tff(f_58,axiom,
! [A] : ( composition(A,one) = A ),
file(unknown,unknown) ).
tff(f_66,axiom,
! [A,B] : ( converse(composition(A,B)) = composition(converse(B),converse(A)) ),
file(unknown,unknown) ).
tff(f_56,axiom,
! [A,B,C] : ( composition(A,composition(B,C)) = composition(composition(A,B),C) ),
file(unknown,unknown) ).
tff(f_68,axiom,
! [A,B] : ( join(composition(converse(A),complement(composition(A,B))),complement(B)) = complement(B) ),
file(unknown,unknown) ).
tff(f_60,axiom,
! [A,B,C] : ( composition(join(A,B),C) = join(composition(A,C),composition(B,C)) ),
file(unknown,unknown) ).
tff(f_105,axiom,
meet(composition(sk1,sk2),sk3) = zero,
file(unknown,unknown) ).
tff(f_98,axiom,
! [A,B,C] : ( join(meet(composition(A,B),C),composition(meet(A,composition(C,converse(B))),meet(B,composition(converse(A),C)))) = composition(meet(A,composition(C,converse(B))),meet(B,composition(converse(A),C))) ),
file(unknown,unknown) ).
tff(c_36,plain,
meet(sk2,composition(converse(sk1),sk3)) != zero,
inference(cnfTransformation,[status(thm)],[f_107]) ).
tff(c_24,plain,
! [A_24] : ( join(A_24,complement(A_24)) = top ),
inference(cnfTransformation,[status(thm)],[f_70]) ).
tff(c_16,plain,
! [A_17] : ( converse(converse(A_17)) = A_17 ),
inference(cnfTransformation,[status(thm)],[f_62]) ).
tff(c_254,plain,
! [A_46,B_47] : ( join(converse(A_46),converse(B_47)) = converse(join(A_46,B_47)) ),
inference(cnfTransformation,[status(thm)],[f_64]) ).
tff(c_2222,plain,
! [A_94,B_95] : ( converse(join(converse(A_94),B_95)) = join(A_94,converse(B_95)) ),
inference(superposition,[status(thm),theory(equality)],[c_16,c_254]) ).
tff(c_2314,plain,
! [A_94] : ( join(A_94,converse(complement(converse(A_94)))) = converse(top) ),
inference(superposition,[status(thm),theory(equality)],[c_24,c_2222]) ).
tff(c_2334,plain,
! [A_96] : ( join(A_96,converse(complement(converse(A_96)))) = converse(top) ),
inference(superposition,[status(thm),theory(equality)],[c_24,c_2222]) ).
tff(c_26,plain,
! [A_25] : ( meet(A_25,complement(A_25)) = zero ),
inference(cnfTransformation,[status(thm)],[f_72]) ).
tff(c_115,plain,
! [A_41,B_42] : ( complement(join(complement(A_41),complement(B_42))) = meet(A_41,B_42) ),
inference(cnfTransformation,[status(thm)],[f_54]) ).
tff(c_149,plain,
! [A_41] : ( meet(A_41,complement(A_41)) = complement(top) ),
inference(superposition,[status(thm),theory(equality)],[c_24,c_115]) ).
tff(c_152,plain,
complement(top) = zero,
inference(demodulation,[status(thm),theory(equality)],[c_26,c_149]) ).
tff(c_2,plain,
! [B_2,A_1] : ( join(B_2,A_1) = join(A_1,B_2) ),
inference(cnfTransformation,[status(thm)],[f_48]) ).
tff(c_162,plain,
join(top,zero) = top,
inference(superposition,[status(thm),theory(equality)],[c_152,c_24]) ).
tff(c_360,plain,
! [A_50,B_51,C_52] : ( join(join(A_50,B_51),C_52) = join(A_50,join(B_51,C_52)) ),
inference(cnfTransformation,[status(thm)],[f_50]) ).
tff(c_414,plain,
! [C_53] : ( join(top,join(zero,C_53)) = join(top,C_53) ),
inference(superposition,[status(thm),theory(equality)],[c_162,c_360]) ).
tff(c_435,plain,
join(top,complement(zero)) = join(top,top),
inference(superposition,[status(thm),theory(equality)],[c_24,c_414]) ).
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_54]) ).
tff(c_159,plain,
! [A_8] : ( complement(join(complement(A_8),zero)) = meet(A_8,top) ),
inference(superposition,[status(thm),theory(equality)],[c_152,c_8]) ).
tff(c_193,plain,
! [A_45] : ( complement(join(zero,complement(A_45))) = meet(A_45,top) ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_159]) ).
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_152,c_227]) ).
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_52]) ).
tff(c_855,plain,
! [A_67,B_68] : ( join(meet(A_67,B_68),complement(join(complement(A_67),B_68))) = A_67 ),
inference(demodulation,[status(thm),theory(equality)],[c_8,c_6]) ).
tff(c_891,plain,
join(zero,complement(join(complement(zero),top))) = zero,
inference(superposition,[status(thm),theory(equality)],[c_230,c_855]) ).
tff(c_929,plain,
join(zero,complement(join(top,top))) = zero,
inference(demodulation,[status(thm),theory(equality)],[c_435,c_2,c_891]) ).
tff(c_388,plain,
! [C_52] : ( join(top,join(zero,C_52)) = join(top,C_52) ),
inference(superposition,[status(thm),theory(equality)],[c_162,c_360]) ).
tff(c_1042,plain,
join(top,complement(join(top,top))) = join(top,zero),
inference(superposition,[status(thm),theory(equality)],[c_929,c_388]) ).
tff(c_1054,plain,
join(top,complement(join(top,top))) = top,
inference(demodulation,[status(thm),theory(equality)],[c_162,c_1042]) ).
tff(c_168,plain,
! [A_8] : ( complement(join(zero,complement(A_8))) = meet(A_8,top) ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_159]) ).
tff(c_1051,plain,
meet(join(top,top),top) = complement(zero),
inference(superposition,[status(thm),theory(equality)],[c_929,c_168]) ).
tff(c_37,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_1153,plain,
join(complement(zero),complement(join(complement(join(top,top)),top))) = join(top,top),
inference(superposition,[status(thm),theory(equality)],[c_1051,c_37]) ).
tff(c_1168,plain,
join(top,top) = top,
inference(demodulation,[status(thm),theory(equality)],[c_24,c_152,c_2,c_1054,c_2,c_1153]) ).
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_50]) ).
tff(c_1262,plain,
! [C_5] : ( join(top,join(top,C_5)) = join(top,C_5) ),
inference(superposition,[status(thm),theory(equality)],[c_1168,c_4]) ).
tff(c_2351,plain,
join(top,converse(complement(converse(top)))) = join(top,converse(top)),
inference(superposition,[status(thm),theory(equality)],[c_2334,c_1262]) ).
tff(c_2408,plain,
join(top,converse(top)) = converse(top),
inference(demodulation,[status(thm),theory(equality)],[c_2314,c_2351]) ).
tff(c_2839,plain,
! [A_101,A_102] : ( converse(join(A_101,converse(A_102))) = join(converse(A_101),A_102) ),
inference(superposition,[status(thm),theory(equality)],[c_16,c_254]) ).
tff(c_2934,plain,
join(converse(top),top) = converse(converse(top)),
inference(superposition,[status(thm),theory(equality)],[c_2408,c_2839]) ).
tff(c_3006,plain,
join(converse(top),top) = top,
inference(demodulation,[status(thm),theory(equality)],[c_16,c_2934]) ).
tff(c_1608,plain,
! [B_86,A_87] : ( join(converse(B_86),converse(A_87)) = converse(join(A_87,B_86)) ),
inference(superposition,[status(thm),theory(equality)],[c_254,c_2]) ).
tff(c_18,plain,
! [A_18,B_19] : ( join(converse(A_18),converse(B_19)) = converse(join(A_18,B_19)) ),
inference(cnfTransformation,[status(thm)],[f_64]) ).
tff(c_1648,plain,
! [B_88,A_89] : ( converse(join(B_88,A_89)) = converse(join(A_89,B_88)) ),
inference(superposition,[status(thm),theory(equality)],[c_1608,c_18]) ).
tff(c_1729,plain,
! [B_88,A_89] : ( converse(converse(join(B_88,A_89))) = join(A_89,B_88) ),
inference(superposition,[status(thm),theory(equality)],[c_1648,c_16]) ).
tff(c_3053,plain,
join(top,converse(top)) = converse(converse(top)),
inference(superposition,[status(thm),theory(equality)],[c_3006,c_1729]) ).
tff(c_3078,plain,
converse(top) = top,
inference(demodulation,[status(thm),theory(equality)],[c_2408,c_16,c_3053]) ).
tff(c_121,plain,
! [A_8,A_41,B_42] : ( meet(A_8,join(complement(A_41),complement(B_42))) = complement(join(complement(A_8),meet(A_41,B_42))) ),
inference(superposition,[status(thm),theory(equality)],[c_115,c_8]) ).
tff(c_921,plain,
! [A_67] : ( join(meet(A_67,complement(complement(A_67))),complement(top)) = A_67 ),
inference(superposition,[status(thm),theory(equality)],[c_24,c_855]) ).
tff(c_932,plain,
! [A_67] : ( join(zero,meet(A_67,complement(complement(A_67)))) = A_67 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_152,c_921]) ).
tff(c_646,plain,
! [B_62,A_63] : ( complement(join(complement(B_62),complement(A_63))) = meet(A_63,B_62) ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_115]) ).
tff(c_673,plain,
! [B_62,A_63] : ( meet(B_62,A_63) = meet(A_63,B_62) ),
inference(superposition,[status(thm),theory(equality)],[c_646,c_8]) ).
tff(c_731,plain,
! [B_62] : ( meet(complement(B_62),B_62) = complement(top) ),
inference(superposition,[status(thm),theory(equality)],[c_24,c_646]) ).
tff(c_739,plain,
! [B_62] : ( meet(complement(B_62),B_62) = zero ),
inference(demodulation,[status(thm),theory(equality)],[c_152,c_731]) ).
tff(c_3276,plain,
! [A_104,B_105] : ( join(meet(A_104,complement(B_105)),meet(A_104,B_105)) = A_104 ),
inference(superposition,[status(thm),theory(equality)],[c_8,c_855]) ).
tff(c_3324,plain,
! [B_105] : ( join(zero,meet(complement(complement(B_105)),B_105)) = complement(complement(B_105)) ),
inference(superposition,[status(thm),theory(equality)],[c_739,c_3276]) ).
tff(c_3368,plain,
! [B_105] : ( complement(complement(B_105)) = B_105 ),
inference(demodulation,[status(thm),theory(equality)],[c_932,c_673,c_3324]) ).
tff(c_12,plain,
! [A_13] : ( composition(A_13,one) = A_13 ),
inference(cnfTransformation,[status(thm)],[f_58]) ).
tff(c_170,plain,
! [B_43,A_44] : ( composition(converse(B_43),converse(A_44)) = converse(composition(A_44,B_43)) ),
inference(cnfTransformation,[status(thm)],[f_66]) ).
tff(c_5620,plain,
! [A_126,B_127] : ( converse(composition(converse(A_126),B_127)) = composition(converse(B_127),A_126) ),
inference(superposition,[status(thm),theory(equality)],[c_16,c_170]) ).
tff(c_5715,plain,
! [A_126] : ( composition(converse(one),A_126) = converse(converse(A_126)) ),
inference(superposition,[status(thm),theory(equality)],[c_12,c_5620]) ).
tff(c_5732,plain,
! [A_126] : ( composition(converse(one),A_126) = A_126 ),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_5715]) ).
tff(c_5734,plain,
! [A_128] : ( composition(converse(one),A_128) = A_128 ),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_5715]) ).
tff(c_502,plain,
! [A_55,B_56,C_57] : ( composition(composition(A_55,B_56),C_57) = composition(A_55,composition(B_56,C_57)) ),
inference(cnfTransformation,[status(thm)],[f_56]) ).
tff(c_524,plain,
! [A_13,C_57] : ( composition(A_13,composition(one,C_57)) = composition(A_13,C_57) ),
inference(superposition,[status(thm),theory(equality)],[c_12,c_502]) ).
tff(c_5784,plain,
! [C_57] : ( composition(converse(one),C_57) = composition(one,C_57) ),
inference(superposition,[status(thm),theory(equality)],[c_5734,c_524]) ).
tff(c_5821,plain,
! [C_57] : ( composition(one,C_57) = C_57 ),
inference(demodulation,[status(thm),theory(equality)],[c_5732,c_5784]) ).
tff(c_5795,plain,
converse(one) = one,
inference(superposition,[status(thm),theory(equality)],[c_5734,c_12]) ).
tff(c_5900,plain,
! [C_129] : ( composition(one,C_129) = C_129 ),
inference(demodulation,[status(thm),theory(equality)],[c_5732,c_5784]) ).
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_68]) ).
tff(c_5933,plain,
! [C_129] : ( join(composition(converse(one),complement(C_129)),complement(C_129)) = complement(C_129) ),
inference(superposition,[status(thm),theory(equality)],[c_5900,c_22]) ).
tff(c_6162,plain,
! [C_132] : ( join(complement(C_132),complement(C_132)) = complement(C_132) ),
inference(demodulation,[status(thm),theory(equality)],[c_5821,c_2,c_5795,c_5933]) ).
tff(c_6177,plain,
! [C_132] : ( join(meet(C_132,complement(C_132)),complement(complement(C_132))) = C_132 ),
inference(superposition,[status(thm),theory(equality)],[c_6162,c_37]) ).
tff(c_6236,plain,
! [C_132] : ( join(zero,C_132) = C_132 ),
inference(demodulation,[status(thm),theory(equality)],[c_3368,c_26,c_6177]) ).
tff(c_130,plain,
! [A_41,B_42] : ( meet(join(complement(A_41),complement(B_42)),meet(A_41,B_42)) = zero ),
inference(superposition,[status(thm),theory(equality)],[c_115,c_26]) ).
tff(c_585,plain,
! [A_60,B_61] : ( join(composition(converse(A_60),complement(composition(A_60,B_61))),complement(B_61)) = complement(B_61) ),
inference(cnfTransformation,[status(thm)],[f_68]) ).
tff(c_624,plain,
! [A_60,A_8,B_9] : ( join(composition(converse(A_60),complement(composition(A_60,join(complement(A_8),complement(B_9))))),meet(A_8,B_9)) = complement(join(complement(A_8),complement(B_9))) ),
inference(superposition,[status(thm),theory(equality)],[c_8,c_585]) ).
tff(c_31164,plain,
! [A_309,A_310,B_311] : ( join(composition(converse(A_309),complement(composition(A_309,join(complement(A_310),complement(B_311))))),meet(A_310,B_311)) = meet(A_310,B_311) ),
inference(demodulation,[status(thm),theory(equality)],[c_8,c_624]) ).
tff(c_31394,plain,
! [A_309,A_41,B_42] : ( join(composition(converse(A_309),complement(composition(A_309,join(complement(join(complement(A_41),complement(B_42))),complement(meet(A_41,B_42)))))),zero) = meet(join(complement(A_41),complement(B_42)),meet(A_41,B_42)) ),
inference(superposition,[status(thm),theory(equality)],[c_130,c_31164]) ).
tff(c_31596,plain,
! [A_312] : ( composition(converse(A_312),complement(composition(A_312,top))) = zero ),
inference(demodulation,[status(thm),theory(equality)],[c_152,c_24,c_2,c_121,c_6236,c_673,c_24,c_2,c_8,c_2,c_2,c_31394]) ).
tff(c_31718,plain,
composition(top,complement(composition(top,top))) = zero,
inference(superposition,[status(thm),theory(equality)],[c_3078,c_31596]) ).
tff(c_6201,plain,
! [B_105] : ( join(complement(complement(B_105)),B_105) = complement(complement(B_105)) ),
inference(superposition,[status(thm),theory(equality)],[c_3368,c_6162]) ).
tff(c_6804,plain,
! [B_138] : ( join(B_138,B_138) = B_138 ),
inference(demodulation,[status(thm),theory(equality)],[c_3368,c_3368,c_6201]) ).
tff(c_376,plain,
! [A_50,B_51] : ( join(A_50,join(B_51,complement(join(A_50,B_51)))) = top ),
inference(superposition,[status(thm),theory(equality)],[c_360,c_24]) ).
tff(c_6822,plain,
! [B_138] : ( join(B_138,join(B_138,complement(B_138))) = top ),
inference(superposition,[status(thm),theory(equality)],[c_6804,c_376]) ).
tff(c_7044,plain,
! [B_141] : ( join(B_141,top) = top ),
inference(demodulation,[status(thm),theory(equality)],[c_24,c_6822]) ).
tff(c_7098,plain,
! [B_141] : ( join(top,B_141) = top ),
inference(superposition,[status(thm),theory(equality)],[c_7044,c_2]) ).
tff(c_14,plain,
! [A_14,C_16,B_15] : ( join(composition(A_14,C_16),composition(B_15,C_16)) = composition(join(A_14,B_15),C_16) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_31834,plain,
! [B_15] : ( join(zero,composition(B_15,complement(composition(top,top)))) = composition(join(top,B_15),complement(composition(top,top))) ),
inference(superposition,[status(thm),theory(equality)],[c_31718,c_14]) ).
tff(c_31862,plain,
! [B_15] : ( composition(B_15,complement(composition(top,top))) = zero ),
inference(demodulation,[status(thm),theory(equality)],[c_31718,c_7098,c_6236,c_31834]) ).
tff(c_32150,plain,
! [B_314] : ( composition(B_314,complement(composition(top,top))) = zero ),
inference(demodulation,[status(thm),theory(equality)],[c_31718,c_7098,c_6236,c_31834]) ).
tff(c_10,plain,
! [A_10,B_11,C_12] : ( composition(composition(A_10,B_11),C_12) = composition(A_10,composition(B_11,C_12)) ),
inference(cnfTransformation,[status(thm)],[f_56]) ).
tff(c_983,plain,
! [A_70,C_71,B_72] : ( join(composition(A_70,C_71),composition(B_72,C_71)) = composition(join(A_70,B_72),C_71) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_1010,plain,
! [A_70,C_12,A_10,B_11] : ( join(composition(A_70,C_12),composition(A_10,composition(B_11,C_12))) = composition(join(A_70,composition(A_10,B_11)),C_12) ),
inference(superposition,[status(thm),theory(equality)],[c_10,c_983]) ).
tff(c_32158,plain,
! [A_10,B_11,B_314] : ( join(zero,composition(A_10,composition(B_11,complement(composition(top,top))))) = composition(join(B_314,composition(A_10,B_11)),complement(composition(top,top))) ),
inference(superposition,[status(thm),theory(equality)],[c_32150,c_1010]) ).
tff(c_32284,plain,
! [A_10] : ( composition(A_10,zero) = zero ),
inference(demodulation,[status(thm),theory(equality)],[c_31862,c_31862,c_6236,c_32158]) ).
tff(c_776,plain,
! [B_65,A_66] : ( meet(B_65,A_66) = meet(A_66,B_65) ),
inference(superposition,[status(thm),theory(equality)],[c_646,c_8]) ).
tff(c_34,plain,
meet(composition(sk1,sk2),sk3) = zero,
inference(cnfTransformation,[status(thm)],[f_105]) ).
tff(c_805,plain,
meet(sk3,composition(sk1,sk2)) = zero,
inference(superposition,[status(thm),theory(equality)],[c_776,c_34]) ).
tff(c_1305,plain,
! [A_79,B_80,C_81] : ( join(meet(composition(A_79,B_80),C_81),composition(meet(A_79,composition(C_81,converse(B_80))),meet(B_80,composition(converse(A_79),C_81)))) = composition(meet(A_79,composition(C_81,converse(B_80))),meet(B_80,composition(converse(A_79),C_81))) ),
inference(cnfTransformation,[status(thm)],[f_98]) ).
tff(c_1389,plain,
! [A_17,B_80,C_81] : ( join(meet(composition(converse(A_17),B_80),C_81),composition(meet(converse(A_17),composition(C_81,converse(B_80))),meet(B_80,composition(A_17,C_81)))) = composition(meet(converse(A_17),composition(C_81,converse(B_80))),meet(B_80,composition(converse(converse(A_17)),C_81))) ),
inference(superposition,[status(thm),theory(equality)],[c_16,c_1305]) ).
tff(c_35363,plain,
! [A_329,B_330,C_331] : ( join(meet(composition(converse(A_329),B_330),C_331),composition(meet(converse(A_329),composition(C_331,converse(B_330))),meet(B_330,composition(A_329,C_331)))) = composition(meet(converse(A_329),composition(C_331,converse(B_330))),meet(B_330,composition(A_329,C_331))) ),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_1389]) ).
tff(c_35670,plain,
join(meet(composition(converse(sk1),sk3),sk2),composition(meet(converse(sk1),composition(sk2,converse(sk3))),zero)) = composition(meet(converse(sk1),composition(sk2,converse(sk3))),meet(sk3,composition(sk1,sk2))),
inference(superposition,[status(thm),theory(equality)],[c_805,c_35363]) ).
tff(c_35806,plain,
meet(sk2,composition(converse(sk1),sk3)) = zero,
inference(demodulation,[status(thm),theory(equality)],[c_32284,c_6236,c_2,c_32284,c_805,c_673,c_35670]) ).
tff(c_35808,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_36,c_35806]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : REL010-2 : 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
% 0.16/0.36 % Computer : n002.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.22/0.36 % CPULimit : 300
% 0.22/0.36 % WCLimit : 300
% 0.22/0.36 % DateTime : Thu Aug 3 15:53:31 EDT 2023
% 0.22/0.37 % CPUTime :
% 15.12/5.94 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 15.12/5.96
% 15.12/5.96 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 15.12/6.00
% 15.12/6.00 Inference rules
% 15.12/6.00 ----------------------
% 15.12/6.00 #Ref : 0
% 15.12/6.00 #Sup : 8994
% 15.12/6.00 #Fact : 0
% 15.12/6.00 #Define : 0
% 15.12/6.00 #Split : 0
% 15.12/6.00 #Chain : 0
% 15.12/6.00 #Close : 0
% 15.12/6.00
% 15.12/6.00 Ordering : KBO
% 15.12/6.00
% 15.12/6.00 Simplification rules
% 15.12/6.00 ----------------------
% 15.12/6.00 #Subsume : 121
% 15.12/6.00 #Demod : 13624
% 15.12/6.00 #Tautology : 5391
% 15.12/6.00 #SimpNegUnit : 1
% 15.12/6.00 #BackRed : 67
% 15.12/6.00
% 15.12/6.00 #Partial instantiations: 0
% 15.12/6.00 #Strategies tried : 1
% 15.12/6.00
% 15.12/6.00 Timing (in seconds)
% 15.12/6.00 ----------------------
% 15.12/6.00 Preprocessing : 0.47
% 15.12/6.00 Parsing : 0.25
% 15.12/6.00 CNF conversion : 0.02
% 15.12/6.00 Main loop : 4.49
% 15.12/6.00 Inferencing : 0.87
% 15.12/6.00 Reduction : 2.70
% 15.12/6.00 Demodulation : 2.47
% 15.12/6.00 BG Simplification : 0.09
% 15.12/6.00 Subsumption : 0.60
% 15.12/6.00 Abstraction : 0.15
% 15.12/6.00 MUC search : 0.00
% 15.12/6.00 Cooper : 0.00
% 15.12/6.00 Total : 5.04
% 15.12/6.00 Index Insertion : 0.00
% 15.12/6.01 Index Deletion : 0.00
% 15.12/6.01 Index Matching : 0.00
% 15.12/6.01 BG Taut test : 0.00
%------------------------------------------------------------------------------