TSTP Solution File: HWV052-1.002.002 by Beagle---0.9.51
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : HWV052-1.002.002 : TPTP v8.1.2. Released v4.1.0.
% 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 : n020.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 10:42:42 EDT 2023
% Result : Unsatisfiable 18.88s 6.98s
% Output : CNFRefutation 19.02s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 19
% Syntax : Number of formulae : 309 ( 124 unt; 7 typ; 0 def)
% Number of atoms : 670 ( 657 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 423 ( 55 ~; 368 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 13 ( 5 >; 8 *; 0 +; 0 <<)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 2 con; 0-4 aty)
% Number of variables : 232 (; 232 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ unpack2 > unpack1 > pack2 > pack1 > #nlpp > inv > o > i
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(i,type,
i: $i ).
tff(unpack2,type,
unpack2: ( $i * $i * $i * $i ) > $i ).
tff(pack1,type,
pack1: ( $i * $i ) > $i ).
tff(pack2,type,
pack2: ( $i * $i ) > $i ).
tff(inv,type,
inv: $i > $i ).
tff(unpack1,type,
unpack1: ( $i * $i * $i * $i ) > $i ).
tff(o,type,
o: $i ).
tff(f_28,axiom,
! [X] :
( ( X = o )
| ( X = i ) ),
file(unknown,unknown) ).
tff(f_31,axiom,
! [X] : ( inv(X) != X ),
file(unknown,unknown) ).
tff(f_35,axiom,
! [X1,X2] : ( unpack1(inv(X1),X2,pack1(X1,X2),pack2(X1,X2)) = X1 ),
file(unknown,unknown) ).
tff(f_37,axiom,
! [X1,X2] : ( unpack1(X1,inv(X2),pack1(X1,X2),pack2(X1,X2)) = X1 ),
file(unknown,unknown) ).
tff(f_45,axiom,
! [X1,X2] : ( unpack2(inv(X1),X2,pack1(X1,X2),pack2(X1,X2)) = X2 ),
file(unknown,unknown) ).
tff(f_33,axiom,
! [X1,X2] : ( unpack1(X1,X2,pack1(X1,X2),pack2(X1,X2)) = X1 ),
file(unknown,unknown) ).
tff(f_39,axiom,
! [X1,X2] : ( unpack1(X1,X2,inv(pack1(X1,X2)),pack2(X1,X2)) = X1 ),
file(unknown,unknown) ).
tff(f_41,axiom,
! [X1,X2] : ( unpack1(X1,X2,pack1(X1,X2),inv(pack2(X1,X2))) = X1 ),
file(unknown,unknown) ).
tff(f_47,axiom,
! [X1,X2] : ( unpack2(X1,inv(X2),pack1(X1,X2),pack2(X1,X2)) = X2 ),
file(unknown,unknown) ).
tff(f_43,axiom,
! [X1,X2] : ( unpack2(X1,X2,pack1(X1,X2),pack2(X1,X2)) = X2 ),
file(unknown,unknown) ).
tff(f_51,axiom,
! [X1,X2] : ( unpack2(X1,X2,pack1(X1,X2),inv(pack2(X1,X2))) = X2 ),
file(unknown,unknown) ).
tff(f_49,axiom,
! [X1,X2] : ( unpack2(X1,X2,inv(pack1(X1,X2)),pack2(X1,X2)) = X2 ),
file(unknown,unknown) ).
tff(c_2,plain,
! [X_1] :
( ( i = X_1 )
| ( o = X_1 ) ),
inference(cnfTransformation,[status(thm)],[f_28]) ).
tff(c_31,plain,
! [X_1] :
( ( i = X_1 )
| ( o != i ) ),
inference(factorization,[status(thm),theory(equality)],[c_2]) ).
tff(c_44,plain,
o != i,
inference(splitLeft,[status(thm)],[c_31]) ).
tff(c_4,plain,
! [X_2] : ( inv(X_2) != X_2 ),
inference(cnfTransformation,[status(thm)],[f_31]) ).
tff(c_32,plain,
! [X_24] :
( ( i = X_24 )
| ( o = X_24 ) ),
inference(cnfTransformation,[status(thm)],[f_28]) ).
tff(c_46,plain,
inv(o) = i,
inference(superposition,[status(thm),theory(equality)],[c_32,c_4]) ).
tff(c_38,plain,
! [X_2] :
( ( o != X_2 )
| ( inv(X_2) = i ) ),
inference(superposition,[status(thm),theory(equality)],[c_32,c_4]) ).
tff(c_134,plain,
! [X1_172,X2_173] : ( unpack1(inv(X1_172),X2_173,pack1(X1_172,X2_173),pack2(X1_172,X2_173)) = X1_172 ),
inference(cnfTransformation,[status(thm)],[f_35]) ).
tff(c_869,plain,
! [X1_607,X2_608] :
( ( unpack1(inv(X1_607),X2_608,o,pack2(X1_607,X2_608)) = X1_607 )
| ( pack1(X1_607,X2_608) = i ) ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_134]) ).
tff(c_1347,plain,
! [X2_847,X_848] :
( ( unpack1(i,X2_847,o,pack2(X_848,X2_847)) = X_848 )
| ( pack1(X_848,X2_847) = i )
| ( o != X_848 ) ),
inference(superposition,[status(thm),theory(equality)],[c_38,c_869]) ).
tff(c_6006,plain,
! [X2_2047] :
( ( unpack1(i,X2_2047,o,o) = o )
| ( pack1(o,X2_2047) = i )
| ( pack2(o,X2_2047) = i ) ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_1347]) ).
tff(c_159,plain,
! [X1_187,X2_188] : ( unpack1(X1_187,inv(X2_188),pack1(X1_187,X2_188),pack2(X1_187,X2_188)) = X1_187 ),
inference(cnfTransformation,[status(thm)],[f_37]) ).
tff(c_922,plain,
! [X1_637,X2_638] :
( ( unpack1(X1_637,inv(X2_638),pack1(X1_637,X2_638),o) = X1_637 )
| ( pack2(X1_637,X2_638) = i ) ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_159]) ).
tff(c_1972,plain,
! [X1_1147,X_1148] :
( ( unpack1(X1_1147,i,pack1(X1_1147,X_1148),o) = X1_1147 )
| ( pack2(X1_1147,X_1148) = i )
| ( o != X_1148 ) ),
inference(superposition,[status(thm),theory(equality)],[c_38,c_922]) ).
tff(c_2005,plain,
! [X1_1147,X_1148] :
( ( unpack1(X1_1147,i,o,o) = X1_1147 )
| ( pack2(X1_1147,X_1148) = i )
| ( o != X_1148 )
| ( pack1(X1_1147,X_1148) = i ) ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_1972]) ).
tff(c_6010,plain,
! [X_1148] :
( ( o = i )
| ( pack2(i,X_1148) = i )
| ( o != X_1148 )
| ( pack1(i,X_1148) = i )
| ( pack1(o,i) = i )
| ( pack2(o,i) = i ) ),
inference(superposition,[status(thm),theory(equality)],[c_6006,c_2005]) ).
tff(c_7078,plain,
! [X_1148] :
( ( pack2(i,X_1148) = i )
| ( o != X_1148 )
| ( pack1(i,X_1148) = i )
| ( pack1(o,i) = i )
| ( pack2(o,i) = i ) ),
inference(negUnitSimplification,[status(thm)],[c_44,c_6010]) ).
tff(c_29283,plain,
pack2(o,i) = i,
inference(splitLeft,[status(thm)],[c_7078]) ).
tff(c_210,plain,
! [X1_217,X2_218] : ( unpack2(inv(X1_217),X2_218,pack1(X1_217,X2_218),pack2(X1_217,X2_218)) = X2_218 ),
inference(cnfTransformation,[status(thm)],[f_45]) ).
tff(c_225,plain,
! [X1_217,X2_218] :
( ( unpack2(inv(X1_217),X2_218,o,pack2(X1_217,X2_218)) = X2_218 )
| ( pack1(X1_217,X2_218) = i ) ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_210]) ).
tff(c_29495,plain,
( ( unpack2(inv(o),i,o,i) = i )
| ( pack1(o,i) = i ) ),
inference(superposition,[status(thm),theory(equality)],[c_29283,c_225]) ).
tff(c_29651,plain,
( ( unpack2(i,i,o,i) = i )
| ( pack1(o,i) = i ) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_29495]) ).
tff(c_30879,plain,
pack1(o,i) = i,
inference(splitLeft,[status(thm)],[c_29651]) ).
tff(c_6,plain,
! [X1_3,X2_4] : ( unpack1(X1_3,X2_4,pack1(X1_3,X2_4),pack2(X1_3,X2_4)) = X1_3 ),
inference(cnfTransformation,[status(thm)],[f_33]) ).
tff(c_29537,plain,
unpack1(o,i,pack1(o,i),i) = o,
inference(superposition,[status(thm),theory(equality)],[c_29283,c_6]) ).
tff(c_30890,plain,
unpack1(o,i,i,i) = o,
inference(demodulation,[status(thm),theory(equality)],[c_30879,c_29537]) ).
tff(c_3269,plain,
! [X2_1507,X1_1508] :
( ( unpack1(o,X2_1507,o,pack2(X1_1508,X2_1507)) = X1_1508 )
| ( pack1(X1_1508,X2_1507) = i )
| ( inv(X1_1508) = i ) ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_869]) ).
tff(c_14311,plain,
! [X2_8934] :
( ( unpack1(o,X2_8934,o,o) = i )
| ( pack1(i,X2_8934) = i )
| ( inv(i) = i )
| ( pack2(i,X2_8934) = i ) ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_3269]) ).
tff(c_14315,plain,
! [X_1148] :
( ( o = i )
| ( pack2(o,X_1148) = i )
| ( o != X_1148 )
| ( pack1(o,X_1148) = i )
| ( pack1(i,i) = i )
| ( inv(i) = i )
| ( pack2(i,i) = i ) ),
inference(superposition,[status(thm),theory(equality)],[c_14311,c_2005]) ).
tff(c_15493,plain,
! [X_1148] :
( ( pack2(o,X_1148) = i )
| ( o != X_1148 )
| ( pack1(o,X_1148) = i )
| ( pack1(i,i) = i )
| ( pack2(i,i) = i ) ),
inference(negUnitSimplification,[status(thm)],[c_4,c_44,c_14315]) ).
tff(c_33601,plain,
pack2(i,i) = i,
inference(splitLeft,[status(thm)],[c_15493]) ).
tff(c_8,plain,
! [X1_5,X2_6] : ( unpack1(inv(X1_5),X2_6,pack1(X1_5,X2_6),pack2(X1_5,X2_6)) = X1_5 ),
inference(cnfTransformation,[status(thm)],[f_35]) ).
tff(c_29531,plain,
unpack1(inv(o),i,pack1(o,i),i) = o,
inference(superposition,[status(thm),theory(equality)],[c_29283,c_8]) ).
tff(c_29653,plain,
unpack1(i,i,pack1(o,i),i) = o,
inference(demodulation,[status(thm),theory(equality)],[c_46,c_29531]) ).
tff(c_30889,plain,
unpack1(i,i,i,i) = o,
inference(demodulation,[status(thm),theory(equality)],[c_30879,c_29653]) ).
tff(c_184,plain,
! [X1_202,X2_203] : ( unpack1(X1_202,X2_203,inv(pack1(X1_202,X2_203)),pack2(X1_202,X2_203)) = X1_202 ),
inference(cnfTransformation,[status(thm)],[f_39]) ).
tff(c_196,plain,
! [X1_202,X2_203] :
( ( unpack1(X1_202,X2_203,inv(o),pack2(X1_202,X2_203)) = X1_202 )
| ( pack1(X1_202,X2_203) = i ) ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_184]) ).
tff(c_440,plain,
! [X1_382,X2_383] :
( ( unpack1(X1_382,X2_383,i,pack2(X1_382,X2_383)) = X1_382 )
| ( pack1(X1_382,X2_383) = i ) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_196]) ).
tff(c_452,plain,
! [X1_382,X2_383] :
( ( o = X1_382 )
| ( pack1(X1_382,X2_383) = i )
| ( unpack1(X1_382,X2_383,i,pack2(X1_382,X2_383)) = i ) ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_440]) ).
tff(c_34160,plain,
( ( o = i )
| ( pack1(i,i) = i )
| ( unpack1(i,i,i,i) = i ) ),
inference(superposition,[status(thm),theory(equality)],[c_33601,c_452]) ).
tff(c_34350,plain,
( ( o = i )
| ( pack1(i,i) = i )
| ( o = i ) ),
inference(demodulation,[status(thm),theory(equality)],[c_30889,c_34160]) ).
tff(c_34351,plain,
pack1(i,i) = i,
inference(negUnitSimplification,[status(thm)],[c_44,c_44,c_34350]) ).
tff(c_725,plain,
! [X2_547,X1_548] :
( ( unpack1(o,X2_547,pack1(X1_548,X2_547),pack2(X1_548,X2_547)) = X1_548 )
| ( inv(X1_548) = i ) ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_134]) ).
tff(c_756,plain,
! [X1_548,X2_547] :
( ( o = X1_548 )
| ( inv(X1_548) = i )
| ( unpack1(o,X2_547,pack1(X1_548,X2_547),pack2(X1_548,X2_547)) = i ) ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_725]) ).
tff(c_34528,plain,
( ( o = i )
| ( inv(i) = i )
| ( unpack1(o,i,i,pack2(i,i)) = i ) ),
inference(superposition,[status(thm),theory(equality)],[c_34351,c_756]) ).
tff(c_34761,plain,
( ( o = i )
| ( inv(i) = i )
| ( o = i ) ),
inference(demodulation,[status(thm),theory(equality)],[c_30890,c_33601,c_34528]) ).
tff(c_34763,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_44,c_4,c_44,c_34761]) ).
tff(c_34765,plain,
pack2(i,i) != i,
inference(splitRight,[status(thm)],[c_15493]) ).
tff(c_14,plain,
! [X1_11,X2_12] : ( unpack1(X1_11,X2_12,pack1(X1_11,X2_12),inv(pack2(X1_11,X2_12))) = X1_11 ),
inference(cnfTransformation,[status(thm)],[f_41]) ).
tff(c_29516,plain,
unpack1(o,i,pack1(o,i),inv(i)) = o,
inference(superposition,[status(thm),theory(equality)],[c_29283,c_14]) ).
tff(c_30661,plain,
( ( unpack1(o,i,pack1(o,i),o) = o )
| ( inv(i) = i ) ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_29516]) ).
tff(c_30677,plain,
unpack1(o,i,pack1(o,i),o) = o,
inference(negUnitSimplification,[status(thm)],[c_4,c_30661]) ).
tff(c_30881,plain,
unpack1(o,i,i,o) = o,
inference(demodulation,[status(thm),theory(equality)],[c_30879,c_30677]) ).
tff(c_235,plain,
! [X1_232,X2_233] : ( unpack2(X1_232,inv(X2_233),pack1(X1_232,X2_233),pack2(X1_232,X2_233)) = X2_233 ),
inference(cnfTransformation,[status(thm)],[f_47]) ).
tff(c_816,plain,
! [X1_577,X2_578] :
( ( unpack2(X1_577,inv(X2_578),pack1(X1_577,X2_578),o) = X2_578 )
| ( pack2(X1_577,X2_578) = i ) ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_235]) ).
tff(c_1595,plain,
! [X1_967,X_968] :
( ( unpack2(X1_967,i,pack1(X1_967,X_968),o) = X_968 )
| ( pack2(X1_967,X_968) = i )
| ( o != X_968 ) ),
inference(superposition,[status(thm),theory(equality)],[c_38,c_816]) ).
tff(c_7774,plain,
! [X1_3845] :
( ( unpack2(X1_3845,i,o,o) = o )
| ( pack2(X1_3845,o) = i )
| ( pack1(X1_3845,o) = i ) ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_1595]) ).
tff(c_63,plain,
! [X1_113,X2_114] : ( unpack2(X1_113,X2_114,pack1(X1_113,X2_114),pack2(X1_113,X2_114)) = X2_114 ),
inference(cnfTransformation,[status(thm)],[f_43]) ).
tff(c_313,plain,
! [X1_277,X2_278] :
( ( unpack2(X1_277,X2_278,o,pack2(X1_277,X2_278)) = X2_278 )
| ( pack1(X1_277,X2_278) = i ) ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_63]) ).
tff(c_322,plain,
! [X1_277,X2_278] :
( ( unpack2(X1_277,X2_278,o,o) = X2_278 )
| ( pack1(X1_277,X2_278) = i )
| ( pack2(X1_277,X2_278) = i ) ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_313]) ).
tff(c_7777,plain,
! [X1_3845] :
( ( o = i )
| ( pack1(X1_3845,i) = i )
| ( pack2(X1_3845,i) = i )
| ( pack2(X1_3845,o) = i )
| ( pack1(X1_3845,o) = i ) ),
inference(superposition,[status(thm),theory(equality)],[c_7774,c_322]) ).
tff(c_8364,plain,
! [X1_3845] :
( ( pack1(X1_3845,i) = i )
| ( pack2(X1_3845,i) = i )
| ( pack2(X1_3845,o) = i )
| ( pack1(X1_3845,o) = i ) ),
inference(negUnitSimplification,[status(thm)],[c_44,c_7777]) ).
tff(c_4339,plain,
! [X1_1762,X2_1763] :
( ( unpack2(X1_1762,inv(X2_1763),o,o) = X2_1763 )
| ( pack2(X1_1762,X2_1763) = i )
| ( pack1(X1_1762,X2_1763) = i ) ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_816]) ).
tff(c_10011,plain,
! [X1_6145] :
( ( unpack2(X1_6145,o,o,o) = i )
| ( pack2(X1_6145,i) = i )
| ( pack1(X1_6145,i) = i )
| ( inv(i) = i ) ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_4339]) ).
tff(c_286,plain,
! [X1_262,X2_263] : ( unpack2(X1_262,X2_263,pack1(X1_262,X2_263),inv(pack2(X1_262,X2_263))) = X2_263 ),
inference(cnfTransformation,[status(thm)],[f_51]) ).
tff(c_1112,plain,
! [X1_727,X2_728] :
( ( unpack2(X1_727,X2_728,pack1(X1_727,X2_728),o) = X2_728 )
| ( inv(pack2(X1_727,X2_728)) = i ) ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_286]) ).
tff(c_3507,plain,
! [X1_1552,X2_1553] :
( ( unpack2(X1_1552,X2_1553,o,o) = X2_1553 )
| ( inv(pack2(X1_1552,X2_1553)) = i )
| ( pack1(X1_1552,X2_1553) = i ) ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_1112]) ).
tff(c_3585,plain,
! [X1_1552,X2_1553] :
( ( pack2(X1_1552,X2_1553) != i )
| ( unpack2(X1_1552,X2_1553,o,o) = X2_1553 )
| ( pack1(X1_1552,X2_1553) = i ) ),
inference(superposition,[status(thm),theory(equality)],[c_3507,c_4]) ).
tff(c_10014,plain,
! [X1_6145] :
( ( pack2(X1_6145,o) != i )
| ( o = i )
| ( pack1(X1_6145,o) = i )
| ( pack2(X1_6145,i) = i )
| ( pack1(X1_6145,i) = i )
| ( inv(i) = i ) ),
inference(superposition,[status(thm),theory(equality)],[c_10011,c_3585]) ).
tff(c_12319,plain,
! [X1_8402] :
( ( pack2(X1_8402,o) != i )
| ( pack1(X1_8402,o) = i )
| ( pack2(X1_8402,i) = i )
| ( pack1(X1_8402,i) = i ) ),
inference(negUnitSimplification,[status(thm)],[c_4,c_44,c_10014]) ).
tff(c_12364,plain,
! [X1_3845] :
( ( pack1(X1_3845,i) = i )
| ( pack2(X1_3845,i) = i )
| ( pack1(X1_3845,o) = i ) ),
inference(superposition,[status(thm),theory(equality)],[c_8364,c_12319]) ).
tff(c_34807,plain,
( ( pack1(i,i) = i )
| ( pack1(i,o) = i ) ),
inference(superposition,[status(thm),theory(equality)],[c_12364,c_34765]) ).
tff(c_34809,plain,
pack1(i,o) = i,
inference(splitLeft,[status(thm)],[c_34807]) ).
tff(c_247,plain,
! [X1_232,X2_233] :
( ( unpack2(X1_232,o,pack1(X1_232,X2_233),pack2(X1_232,X2_233)) = X2_233 )
| ( inv(X2_233) = i ) ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_235]) ).
tff(c_29462,plain,
( ( unpack2(o,o,pack1(o,i),i) = i )
| ( inv(i) = i ) ),
inference(superposition,[status(thm),theory(equality)],[c_29283,c_247]) ).
tff(c_29645,plain,
unpack2(o,o,pack1(o,i),i) = i,
inference(negUnitSimplification,[status(thm)],[c_4,c_29462]) ).
tff(c_30892,plain,
unpack2(o,o,i,i) = i,
inference(demodulation,[status(thm),theory(equality)],[c_30879,c_29645]) ).
tff(c_9859,plain,
! [X1_6145] :
( ( unpack2(X1_6145,o,o,o) = i )
| ( pack2(X1_6145,i) = i )
| ( pack1(X1_6145,i) = i )
| ( inv(i) = i ) ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_4339]) ).
tff(c_108,plain,
! [X1_157,X2_158] : ( unpack2(X1_157,X2_158,inv(pack1(X1_157,X2_158)),pack2(X1_157,X2_158)) = X2_158 ),
inference(cnfTransformation,[status(thm)],[f_49]) ).
tff(c_842,plain,
! [X1_592,X2_593] :
( ( unpack2(X1_592,X2_593,inv(pack1(X1_592,X2_593)),o) = X2_593 )
| ( pack2(X1_592,X2_593) = i ) ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_108]) ).
tff(c_4400,plain,
! [X1_1777,X2_1778] :
( ( unpack2(X1_1777,X2_1778,o,o) = X2_1778 )
| ( pack2(X1_1777,X2_1778) = i )
| ( inv(pack1(X1_1777,X2_1778)) = i ) ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_842]) ).
tff(c_4493,plain,
! [X1_1777,X2_1778] :
( ( pack1(X1_1777,X2_1778) != i )
| ( unpack2(X1_1777,X2_1778,o,o) = X2_1778 )
| ( pack2(X1_1777,X2_1778) = i ) ),
inference(superposition,[status(thm),theory(equality)],[c_4400,c_4]) ).
tff(c_9862,plain,
! [X1_6145] :
( ( pack1(X1_6145,o) != i )
| ( o = i )
| ( pack2(X1_6145,o) = i )
| ( pack2(X1_6145,i) = i )
| ( pack1(X1_6145,i) = i )
| ( inv(i) = i ) ),
inference(superposition,[status(thm),theory(equality)],[c_9859,c_4493]) ).
tff(c_10912,plain,
! [X1_6145] :
( ( pack1(X1_6145,o) != i )
| ( pack2(X1_6145,o) = i )
| ( pack2(X1_6145,i) = i )
| ( pack1(X1_6145,i) = i ) ),
inference(negUnitSimplification,[status(thm)],[c_4,c_44,c_9862]) ).
tff(c_222,plain,
! [X2_218,X1_217] :
( ( unpack2(o,X2_218,pack1(X1_217,X2_218),pack2(X1_217,X2_218)) = X2_218 )
| ( inv(X1_217) = i ) ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_210]) ).
tff(c_35218,plain,
( ( unpack2(o,o,i,pack2(i,o)) = o )
| ( inv(i) = i ) ),
inference(superposition,[status(thm),theory(equality)],[c_34809,c_222]) ).
tff(c_35363,plain,
unpack2(o,o,i,pack2(i,o)) = o,
inference(negUnitSimplification,[status(thm)],[c_4,c_35218]) ).
tff(c_35401,plain,
( ( unpack2(o,o,i,i) = o )
| ( pack1(i,o) != i )
| ( pack2(i,i) = i )
| ( pack1(i,i) = i ) ),
inference(superposition,[status(thm),theory(equality)],[c_10912,c_35363]) ).
tff(c_35459,plain,
( ( o = i )
| ( pack2(i,i) = i )
| ( pack1(i,i) = i ) ),
inference(demodulation,[status(thm),theory(equality)],[c_34809,c_30892,c_35401]) ).
tff(c_35460,plain,
pack1(i,i) = i,
inference(negUnitSimplification,[status(thm)],[c_34765,c_44,c_35459]) ).
tff(c_948,plain,
! [X1_652,X2_653] :
( ( unpack1(inv(X1_652),X2_653,pack1(X1_652,X2_653),o) = X1_652 )
| ( pack2(X1_652,X2_653) = i ) ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_134]) ).
tff(c_2233,plain,
! [X1_1222,X2_1223] :
( ( o = X1_1222 )
| ( pack2(X1_1222,X2_1223) = i )
| ( unpack1(inv(X1_1222),X2_1223,pack1(X1_1222,X2_1223),o) = i ) ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_948]) ).
tff(c_2254,plain,
! [X1_1222,X2_1223] :
( ( o = X1_1222 )
| ( pack2(X1_1222,X2_1223) = i )
| ( unpack1(o,X2_1223,pack1(X1_1222,X2_1223),o) = i )
| ( inv(X1_1222) = i ) ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_2233]) ).
tff(c_35553,plain,
( ( o = i )
| ( pack2(i,i) = i )
| ( unpack1(o,i,i,o) = i )
| ( inv(i) = i ) ),
inference(superposition,[status(thm),theory(equality)],[c_35460,c_2254]) ).
tff(c_35811,plain,
( ( o = i )
| ( pack2(i,i) = i )
| ( o = i )
| ( inv(i) = i ) ),
inference(demodulation,[status(thm),theory(equality)],[c_30881,c_35553]) ).
tff(c_35813,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_4,c_44,c_34765,c_44,c_35811]) ).
tff(c_35814,plain,
pack1(i,i) = i,
inference(splitRight,[status(thm)],[c_34807]) ).
tff(c_35901,plain,
( ( o = i )
| ( pack2(i,i) = i )
| ( unpack1(o,i,i,o) = i )
| ( inv(i) = i ) ),
inference(superposition,[status(thm),theory(equality)],[c_35814,c_2254]) ).
tff(c_36159,plain,
( ( o = i )
| ( pack2(i,i) = i )
| ( o = i )
| ( inv(i) = i ) ),
inference(demodulation,[status(thm),theory(equality)],[c_30881,c_35901]) ).
tff(c_36161,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_4,c_44,c_34765,c_44,c_36159]) ).
tff(c_36163,plain,
pack1(o,i) != i,
inference(splitRight,[status(thm)],[c_29651]) ).
tff(c_1002,plain,
! [X1_682,X2_683] :
( ( unpack2(X1_682,o,pack1(X1_682,X2_683),pack2(X1_682,X2_683)) = X2_683 )
| ( inv(X2_683) = i ) ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_235]) ).
tff(c_1035,plain,
! [X1_682,X2_683] :
( ( unpack2(X1_682,o,o,pack2(X1_682,X2_683)) = X2_683 )
| ( inv(X2_683) = i )
| ( pack1(X1_682,X2_683) = i ) ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_1002]) ).
tff(c_29372,plain,
( ( unpack2(o,o,o,i) = i )
| ( inv(i) = i )
| ( pack1(o,i) = i ) ),
inference(superposition,[status(thm),theory(equality)],[c_29283,c_1035]) ).
tff(c_29618,plain,
( ( unpack2(o,o,o,i) = i )
| ( pack1(o,i) = i ) ),
inference(negUnitSimplification,[status(thm)],[c_4,c_29372]) ).
tff(c_36281,plain,
unpack2(o,o,o,i) = i,
inference(negUnitSimplification,[status(thm)],[c_36163,c_29618]) ).
tff(c_1059,plain,
! [X1_697,X2_698] :
( ( unpack2(X1_697,X2_698,o,inv(pack2(X1_697,X2_698))) = X2_698 )
| ( pack1(X1_697,X2_698) = i ) ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_286]) ).
tff(c_1068,plain,
! [X1_697,X2_698] :
( ( unpack2(X1_697,X2_698,o,i) = X2_698 )
| ( pack1(X1_697,X2_698) = i )
| ( pack2(X1_697,X2_698) != o ) ),
inference(superposition,[status(thm),theory(equality)],[c_38,c_1059]) ).
tff(c_36291,plain,
( ( o = i )
| ( pack1(o,o) = i )
| ( pack2(o,o) != o ) ),
inference(superposition,[status(thm),theory(equality)],[c_36281,c_1068]) ).
tff(c_36341,plain,
( ( pack1(o,o) = i )
| ( pack2(o,o) != o ) ),
inference(negUnitSimplification,[status(thm)],[c_44,c_36291]) ).
tff(c_36353,plain,
pack2(o,o) != o,
inference(splitLeft,[status(thm)],[c_36341]) ).
tff(c_36410,plain,
pack2(o,o) = i,
inference(superposition,[status(thm),theory(equality)],[c_2,c_36353]) ).
tff(c_72,plain,
! [X1_113,X2_114] :
( ( unpack2(X1_113,X2_114,o,pack2(X1_113,X2_114)) = X2_114 )
| ( pack1(X1_113,X2_114) = i ) ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_63]) ).
tff(c_36644,plain,
( ( unpack2(o,o,o,i) = o )
| ( pack1(o,o) = i ) ),
inference(superposition,[status(thm),theory(equality)],[c_36410,c_72]) ).
tff(c_36825,plain,
( ( o = i )
| ( pack1(o,o) = i ) ),
inference(demodulation,[status(thm),theory(equality)],[c_36281,c_36644]) ).
tff(c_36826,plain,
pack1(o,o) = i,
inference(negUnitSimplification,[status(thm)],[c_44,c_36825]) ).
tff(c_123,plain,
! [X1_157,X2_158] :
( ( unpack2(X1_157,X2_158,o,pack2(X1_157,X2_158)) = X2_158 )
| ( inv(pack1(X1_157,X2_158)) = i ) ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_108]) ).
tff(c_36599,plain,
( ( unpack2(o,o,o,i) = o )
| ( inv(pack1(o,o)) = i ) ),
inference(superposition,[status(thm),theory(equality)],[c_36410,c_123]) ).
tff(c_36815,plain,
( ( o = i )
| ( inv(pack1(o,o)) = i ) ),
inference(demodulation,[status(thm),theory(equality)],[c_36281,c_36599]) ).
tff(c_36816,plain,
inv(pack1(o,o)) = i,
inference(negUnitSimplification,[status(thm)],[c_44,c_36815]) ).
tff(c_37219,plain,
inv(i) = i,
inference(demodulation,[status(thm),theory(equality)],[c_36826,c_36816]) ).
tff(c_37220,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_4,c_37219]) ).
tff(c_37221,plain,
pack1(o,o) = i,
inference(splitRight,[status(thm)],[c_36341]) ).
tff(c_37222,plain,
pack2(o,o) = o,
inference(splitRight,[status(thm)],[c_36341]) ).
tff(c_37792,plain,
unpack1(inv(o),o,pack1(o,o),o) = o,
inference(superposition,[status(thm),theory(equality)],[c_37222,c_8]) ).
tff(c_37996,plain,
unpack1(i,o,i,o) = o,
inference(demodulation,[status(thm),theory(equality)],[c_46,c_37221,c_37792]) ).
tff(c_14379,plain,
! [X2_8934] :
( ( unpack1(o,X2_8934,o,o) = i )
| ( pack1(i,X2_8934) = i )
| ( inv(i) = i )
| ( pack2(i,X2_8934) = i ) ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_3269]) ).
tff(c_1194,plain,
! [X1_772,X2_773] :
( ( unpack1(X1_772,X2_773,o,pack2(X1_772,X2_773)) = X1_772 )
| ( inv(pack1(X1_772,X2_773)) = i ) ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_184]) ).
tff(c_4654,plain,
! [X1_1822,X2_1823] :
( ( unpack1(X1_1822,X2_1823,o,o) = X1_1822 )
| ( inv(pack1(X1_1822,X2_1823)) = i )
| ( pack2(X1_1822,X2_1823) = i ) ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_1194]) ).
tff(c_4750,plain,
! [X1_1822,X2_1823] :
( ( pack1(X1_1822,X2_1823) != i )
| ( unpack1(X1_1822,X2_1823,o,o) = X1_1822 )
| ( pack2(X1_1822,X2_1823) = i ) ),
inference(superposition,[status(thm),theory(equality)],[c_4654,c_4]) ).
tff(c_14382,plain,
! [X2_8934] :
( ( pack1(o,X2_8934) != i )
| ( o = i )
| ( pack2(o,X2_8934) = i )
| ( pack1(i,X2_8934) = i )
| ( inv(i) = i )
| ( pack2(i,X2_8934) = i ) ),
inference(superposition,[status(thm),theory(equality)],[c_14379,c_4750]) ).
tff(c_15500,plain,
! [X2_8934] :
( ( pack1(o,X2_8934) != i )
| ( pack2(o,X2_8934) = i )
| ( pack1(i,X2_8934) = i )
| ( pack2(i,X2_8934) = i ) ),
inference(negUnitSimplification,[status(thm)],[c_4,c_44,c_14382]) ).
tff(c_37820,plain,
( ( o = i )
| ( pack1(o,o) != i )
| ( pack1(i,o) = i )
| ( pack2(i,o) = i ) ),
inference(superposition,[status(thm),theory(equality)],[c_15500,c_37222]) ).
tff(c_38012,plain,
( ( o = i )
| ( pack1(i,o) = i )
| ( pack2(i,o) = i ) ),
inference(demodulation,[status(thm),theory(equality)],[c_37221,c_37820]) ).
tff(c_38013,plain,
( ( pack1(i,o) = i )
| ( pack2(i,o) = i ) ),
inference(negUnitSimplification,[status(thm)],[c_44,c_38012]) ).
tff(c_39521,plain,
pack2(i,o) = i,
inference(splitLeft,[status(thm)],[c_38013]) ).
tff(c_771,plain,
! [X2_562,X1_563] :
( ( unpack2(o,X2_562,pack1(X1_563,X2_562),pack2(X1_563,X2_562)) = X2_562 )
| ( inv(X1_563) = i ) ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_210]) ).
tff(c_796,plain,
! [X2_562,X1_563] :
( ( unpack2(o,X2_562,o,pack2(X1_563,X2_562)) = X2_562 )
| ( inv(X1_563) = i )
| ( pack1(X1_563,X2_562) = i ) ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_771]) ).
tff(c_39644,plain,
( ( unpack2(o,o,o,i) = o )
| ( inv(i) = i )
| ( pack1(i,o) = i ) ),
inference(superposition,[status(thm),theory(equality)],[c_39521,c_796]) ).
tff(c_39872,plain,
( ( o = i )
| ( inv(i) = i )
| ( pack1(i,o) = i ) ),
inference(demodulation,[status(thm),theory(equality)],[c_36281,c_39644]) ).
tff(c_39873,plain,
pack1(i,o) = i,
inference(negUnitSimplification,[status(thm)],[c_4,c_44,c_39872]) ).
tff(c_260,plain,
! [X1_247,X2_248] : ( unpack1(X1_247,X2_248,pack1(X1_247,X2_248),inv(pack2(X1_247,X2_248))) = X1_247 ),
inference(cnfTransformation,[status(thm)],[f_41]) ).
tff(c_1166,plain,
! [X1_757,X2_758] :
( ( unpack1(X1_757,X2_758,pack1(X1_757,X2_758),o) = X1_757 )
| ( inv(pack2(X1_757,X2_758)) = i ) ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_260]) ).
tff(c_1184,plain,
! [X1_757,X2_758] :
( ( o = X1_757 )
| ( inv(pack2(X1_757,X2_758)) = i )
| ( unpack1(X1_757,X2_758,pack1(X1_757,X2_758),o) = i ) ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_1166]) ).
tff(c_39996,plain,
( ( o = i )
| ( inv(pack2(i,o)) = i )
| ( unpack1(i,o,i,o) = i ) ),
inference(superposition,[status(thm),theory(equality)],[c_39873,c_1184]) ).
tff(c_40228,plain,
( ( o = i )
| ( inv(i) = i )
| ( o = i ) ),
inference(demodulation,[status(thm),theory(equality)],[c_37996,c_39521,c_39996]) ).
tff(c_40230,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_44,c_4,c_44,c_40228]) ).
tff(c_40232,plain,
pack2(i,o) != i,
inference(splitRight,[status(thm)],[c_38013]) ).
tff(c_37798,plain,
unpack1(o,o,pack1(o,o),o) = o,
inference(superposition,[status(thm),theory(equality)],[c_37222,c_6]) ).
tff(c_37998,plain,
unpack1(o,o,i,o) = o,
inference(demodulation,[status(thm),theory(equality)],[c_37221,c_37798]) ).
tff(c_40231,plain,
pack1(i,o) = i,
inference(splitRight,[status(thm)],[c_38013]) ).
tff(c_40287,plain,
( ( o = i )
| ( pack2(i,o) = i )
| ( unpack1(o,o,i,o) = i )
| ( inv(i) = i ) ),
inference(superposition,[status(thm),theory(equality)],[c_40231,c_2254]) ).
tff(c_40528,plain,
( ( o = i )
| ( pack2(i,o) = i )
| ( o = i )
| ( inv(i) = i ) ),
inference(demodulation,[status(thm),theory(equality)],[c_37998,c_40287]) ).
tff(c_40529,plain,
pack2(i,o) = i,
inference(negUnitSimplification,[status(thm)],[c_4,c_44,c_44,c_40528]) ).
tff(c_40873,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_40232,c_40529]) ).
tff(c_40875,plain,
pack2(o,i) != i,
inference(splitRight,[status(thm)],[c_7078]) ).
tff(c_4352,plain,
! [X2_1763,X1_1762] :
( ( inv(X2_1763) = X2_1763 )
| ( pack1(X1_1762,inv(X2_1763)) = i )
| ( pack2(X1_1762,inv(X2_1763)) = i )
| ( pack2(X1_1762,X2_1763) = i )
| ( pack1(X1_1762,X2_1763) = i ) ),
inference(superposition,[status(thm),theory(equality)],[c_4339,c_322]) ).
tff(c_4392,plain,
! [X1_1762,X2_1763] :
( ( pack1(X1_1762,inv(X2_1763)) = i )
| ( pack2(X1_1762,inv(X2_1763)) = i )
| ( pack2(X1_1762,X2_1763) = i )
| ( pack1(X1_1762,X2_1763) = i ) ),
inference(negUnitSimplification,[status(thm)],[c_4,c_4352]) ).
tff(c_4363,plain,
! [X2_1763,X1_1552] :
( ( inv(X2_1763) = X2_1763 )
| ( pack2(X1_1552,X2_1763) = i )
| ( pack1(X1_1552,X2_1763) = i )
| ( pack2(X1_1552,inv(X2_1763)) != i )
| ( pack1(X1_1552,inv(X2_1763)) = i ) ),
inference(superposition,[status(thm),theory(equality)],[c_3585,c_4339]) ).
tff(c_23315,plain,
! [X1_14577,X2_14578] :
( ( pack2(X1_14577,X2_14578) = i )
| ( pack1(X1_14577,X2_14578) = i )
| ( pack2(X1_14577,inv(X2_14578)) != i )
| ( pack1(X1_14577,inv(X2_14578)) = i ) ),
inference(negUnitSimplification,[status(thm)],[c_4,c_4363]) ).
tff(c_23436,plain,
! [X1_14644,X2_14645] :
( ( pack1(X1_14644,inv(X2_14645)) = i )
| ( pack2(X1_14644,X2_14645) = i )
| ( pack1(X1_14644,X2_14645) = i ) ),
inference(superposition,[status(thm),theory(equality)],[c_4392,c_23315]) ).
tff(c_23758,plain,
! [X1_14644,X2_14645] :
( ( pack1(X1_14644,o) = i )
| ( pack2(X1_14644,X2_14645) = i )
| ( pack1(X1_14644,X2_14645) = i )
| ( inv(X2_14645) = i ) ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_23436]) ).
tff(c_40885,plain,
( ( pack1(o,o) = i )
| ( pack1(o,i) = i )
| ( inv(i) = i ) ),
inference(superposition,[status(thm),theory(equality)],[c_23758,c_40875]) ).
tff(c_40919,plain,
( ( pack1(o,o) = i )
| ( pack1(o,i) = i ) ),
inference(negUnitSimplification,[status(thm)],[c_4,c_40885]) ).
tff(c_41034,plain,
pack1(o,i) = i,
inference(splitLeft,[status(thm)],[c_40919]) ).
tff(c_957,plain,
! [X2_653,X_2] :
( ( unpack1(i,X2_653,pack1(X_2,X2_653),o) = X_2 )
| ( pack2(X_2,X2_653) = i )
| ( o != X_2 ) ),
inference(superposition,[status(thm),theory(equality)],[c_38,c_948]) ).
tff(c_41182,plain,
( ( unpack1(i,i,i,o) = o )
| ( pack2(o,i) = i ) ),
inference(superposition,[status(thm),theory(equality)],[c_41034,c_957]) ).
tff(c_41376,plain,
unpack1(i,i,i,o) = o,
inference(negUnitSimplification,[status(thm)],[c_40875,c_41182]) ).
tff(c_41729,plain,
! [X2_1507] :
( ( unpack1(o,X2_1507,o,o) = i )
| ( pack1(i,X2_1507) = i )
| ( inv(i) = i )
| ( pack2(i,X2_1507) = i ) ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_3269]) ).
tff(c_1209,plain,
! [X1_772,X2_773] :
( ( unpack1(X1_772,X2_773,o,o) = X1_772 )
| ( inv(pack1(X1_772,X2_773)) = i )
| ( pack2(X1_772,X2_773) = i ) ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_1194]) ).
tff(c_41122,plain,
( ( unpack1(o,i,o,o) = o )
| ( inv(i) = i )
| ( pack2(o,i) = i ) ),
inference(superposition,[status(thm),theory(equality)],[c_41034,c_1209]) ).
tff(c_41343,plain,
unpack1(o,i,o,o) = o,
inference(negUnitSimplification,[status(thm)],[c_40875,c_4,c_41122]) ).
tff(c_41732,plain,
( ( o = i )
| ( pack1(i,i) = i )
| ( inv(i) = i )
| ( pack2(i,i) = i ) ),
inference(superposition,[status(thm),theory(equality)],[c_41729,c_41343]) ).
tff(c_41816,plain,
( ( pack1(i,i) = i )
| ( pack2(i,i) = i ) ),
inference(negUnitSimplification,[status(thm)],[c_4,c_44,c_41732]) ).
tff(c_46472,plain,
pack2(i,i) = i,
inference(splitLeft,[status(thm)],[c_41816]) ).
tff(c_301,plain,
! [X1_262,X2_263] :
( ( unpack2(X1_262,X2_263,pack1(X1_262,X2_263),inv(o)) = X2_263 )
| ( pack2(X1_262,X2_263) = i ) ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_286]) ).
tff(c_310,plain,
! [X1_262,X2_263] :
( ( unpack2(X1_262,X2_263,pack1(X1_262,X2_263),i) = X2_263 )
| ( pack2(X1_262,X2_263) = i ) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_301]) ).
tff(c_41269,plain,
( ( unpack2(o,i,i,i) = i )
| ( pack2(o,i) = i ) ),
inference(superposition,[status(thm),theory(equality)],[c_41034,c_310]) ).
tff(c_41405,plain,
unpack2(o,i,i,i) = i,
inference(negUnitSimplification,[status(thm)],[c_40875,c_41269]) ).
tff(c_2547,plain,
! [X2_1327,X1_1328] :
( ( o = X2_1327 )
| ( pack2(X1_1328,X2_1327) = i )
| ( unpack2(X1_1328,inv(X2_1327),pack1(X1_1328,X2_1327),o) = i ) ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_816]) ).
tff(c_2571,plain,
! [X2_1327,X1_1328] :
( ( o = X2_1327 )
| ( pack2(X1_1328,X2_1327) = i )
| ( unpack2(X1_1328,o,pack1(X1_1328,X2_1327),o) = i )
| ( inv(X2_1327) = i ) ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_2547]) ).
tff(c_41092,plain,
( ( o = i )
| ( pack2(o,i) = i )
| ( unpack2(o,o,i,o) = i )
| ( inv(i) = i ) ),
inference(superposition,[status(thm),theory(equality)],[c_41034,c_2571]) ).
tff(c_41330,plain,
unpack2(o,o,i,o) = i,
inference(negUnitSimplification,[status(thm)],[c_4,c_40875,c_44,c_41092]) ).
tff(c_851,plain,
! [X1_592,X2_593] :
( ( unpack2(X1_592,X2_593,i,o) = X2_593 )
| ( pack2(X1_592,X2_593) = i )
| ( pack1(X1_592,X2_593) != o ) ),
inference(superposition,[status(thm),theory(equality)],[c_38,c_842]) ).
tff(c_41559,plain,
( ( o = i )
| ( pack2(o,o) = i )
| ( pack1(o,o) != o ) ),
inference(superposition,[status(thm),theory(equality)],[c_41330,c_851]) ).
tff(c_41609,plain,
( ( pack2(o,o) = i )
| ( pack1(o,o) != o ) ),
inference(negUnitSimplification,[status(thm)],[c_44,c_41559]) ).
tff(c_43717,plain,
pack1(o,o) != o,
inference(splitLeft,[status(thm)],[c_41609]) ).
tff(c_43723,plain,
pack1(o,o) = i,
inference(superposition,[status(thm),theory(equality)],[c_2,c_43717]) ).
tff(c_75,plain,
! [X1_113,X2_114] :
( ( unpack2(X1_113,X2_114,pack1(X1_113,X2_114),o) = X2_114 )
| ( pack2(X1_113,X2_114) = i ) ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_63]) ).
tff(c_41266,plain,
( ( unpack2(o,i,i,o) = i )
| ( pack2(o,i) = i ) ),
inference(superposition,[status(thm),theory(equality)],[c_41034,c_75]) ).
tff(c_41404,plain,
unpack2(o,i,i,o) = i,
inference(negUnitSimplification,[status(thm)],[c_40875,c_41266]) ).
tff(c_825,plain,
! [X1_577,X_2] :
( ( unpack2(X1_577,i,pack1(X1_577,X_2),o) = X_2 )
| ( pack2(X1_577,X_2) = i )
| ( o != X_2 ) ),
inference(superposition,[status(thm),theory(equality)],[c_38,c_816]) ).
tff(c_43845,plain,
( ( unpack2(o,i,i,o) = o )
| ( pack2(o,o) = i ) ),
inference(superposition,[status(thm),theory(equality)],[c_43723,c_825]) ).
tff(c_44028,plain,
( ( o = i )
| ( pack2(o,o) = i ) ),
inference(demodulation,[status(thm),theory(equality)],[c_41404,c_43845]) ).
tff(c_44029,plain,
pack2(o,o) = i,
inference(negUnitSimplification,[status(thm)],[c_44,c_44028]) ).
tff(c_244,plain,
! [X1_232,X_2] :
( ( unpack2(X1_232,i,pack1(X1_232,X_2),pack2(X1_232,X_2)) = X_2 )
| ( o != X_2 ) ),
inference(superposition,[status(thm),theory(equality)],[c_38,c_235]) ).
tff(c_44275,plain,
unpack2(o,i,pack1(o,o),i) = o,
inference(superposition,[status(thm),theory(equality)],[c_44029,c_244]) ).
tff(c_44506,plain,
o = i,
inference(demodulation,[status(thm),theory(equality)],[c_41405,c_43723,c_44275]) ).
tff(c_44508,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_44,c_44506]) ).
tff(c_44509,plain,
pack2(o,o) = i,
inference(splitRight,[status(thm)],[c_41609]) ).
tff(c_44510,plain,
pack1(o,o) = o,
inference(splitRight,[status(thm)],[c_41609]) ).
tff(c_45359,plain,
unpack1(inv(o),o,o,pack2(o,o)) = o,
inference(superposition,[status(thm),theory(equality)],[c_44510,c_8]) ).
tff(c_45503,plain,
unpack1(i,o,o,i) = o,
inference(demodulation,[status(thm),theory(equality)],[c_46,c_44509,c_45359]) ).
tff(c_1280,plain,
! [X1_802,X2_803] :
( ( unpack1(X1_802,inv(X2_803),o,pack2(X1_802,X2_803)) = X1_802 )
| ( pack1(X1_802,X2_803) = i ) ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_159]) ).
tff(c_3933,plain,
! [X1_1672,X2_1673] :
( ( o = X1_1672 )
| ( pack1(X1_1672,X2_1673) = i )
| ( unpack1(X1_1672,inv(X2_1673),o,pack2(X1_1672,X2_1673)) = i ) ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_1280]) ).
tff(c_3960,plain,
! [X1_1672,X2_1673] :
( ( o = X1_1672 )
| ( pack1(X1_1672,X2_1673) = i )
| ( unpack1(X1_1672,o,o,pack2(X1_1672,X2_1673)) = i )
| ( inv(X2_1673) = i ) ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_3933]) ).
tff(c_46512,plain,
( ( o = i )
| ( pack1(i,i) = i )
| ( unpack1(i,o,o,i) = i )
| ( inv(i) = i ) ),
inference(superposition,[status(thm),theory(equality)],[c_46472,c_3960]) ).
tff(c_46773,plain,
( ( o = i )
| ( pack1(i,i) = i )
| ( o = i )
| ( inv(i) = i ) ),
inference(demodulation,[status(thm),theory(equality)],[c_45503,c_46512]) ).
tff(c_46774,plain,
pack1(i,i) = i,
inference(negUnitSimplification,[status(thm)],[c_4,c_44,c_44,c_46773]) ).
tff(c_46950,plain,
( ( o = i )
| ( inv(pack2(i,i)) = i )
| ( unpack1(i,i,i,o) = i ) ),
inference(superposition,[status(thm),theory(equality)],[c_46774,c_1184]) ).
tff(c_47190,plain,
( ( o = i )
| ( inv(i) = i )
| ( o = i ) ),
inference(demodulation,[status(thm),theory(equality)],[c_41376,c_46472,c_46950]) ).
tff(c_47192,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_44,c_4,c_44,c_47190]) ).
tff(c_47194,plain,
pack2(i,i) != i,
inference(splitRight,[status(thm)],[c_41816]) ).
tff(c_89,plain,
! [X1_142,X2_143] : ( unpack1(X1_142,X2_143,pack1(X1_142,X2_143),pack2(X1_142,X2_143)) = X1_142 ),
inference(cnfTransformation,[status(thm)],[f_33]) ).
tff(c_101,plain,
! [X1_142,X2_143] :
( ( unpack1(X1_142,X2_143,pack1(X1_142,X2_143),o) = X1_142 )
| ( pack2(X1_142,X2_143) = i ) ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_89]) ).
tff(c_41263,plain,
( ( unpack1(o,i,i,o) = o )
| ( pack2(o,i) = i ) ),
inference(superposition,[status(thm),theory(equality)],[c_41034,c_101]) ).
tff(c_41403,plain,
unpack1(o,i,i,o) = o,
inference(negUnitSimplification,[status(thm)],[c_40875,c_41263]) ).
tff(c_47193,plain,
pack1(i,i) = i,
inference(splitRight,[status(thm)],[c_41816]) ).
tff(c_47279,plain,
( ( o = i )
| ( pack2(i,i) = i )
| ( unpack1(o,i,i,o) = i )
| ( inv(i) = i ) ),
inference(superposition,[status(thm),theory(equality)],[c_47193,c_2254]) ).
tff(c_47537,plain,
( ( o = i )
| ( pack2(i,i) = i )
| ( o = i )
| ( inv(i) = i ) ),
inference(demodulation,[status(thm),theory(equality)],[c_41403,c_47279]) ).
tff(c_47538,plain,
pack2(i,i) = i,
inference(negUnitSimplification,[status(thm)],[c_4,c_44,c_44,c_47537]) ).
tff(c_47651,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_47194,c_47538]) ).
tff(c_47653,plain,
pack1(o,i) != i,
inference(splitRight,[status(thm)],[c_40919]) ).
tff(c_47652,plain,
pack1(o,o) = i,
inference(splitRight,[status(thm)],[c_40919]) ).
tff(c_48055,plain,
unpack1(inv(o),o,i,pack2(o,o)) = o,
inference(superposition,[status(thm),theory(equality)],[c_47652,c_8]) ).
tff(c_48151,plain,
unpack1(i,o,i,pack2(o,o)) = o,
inference(demodulation,[status(thm),theory(equality)],[c_46,c_48055]) ).
tff(c_49092,plain,
( ( unpack1(i,o,i,i) = o )
| ( pack1(o,o) != i )
| ( pack2(o,i) = i )
| ( pack1(o,i) = i ) ),
inference(superposition,[status(thm),theory(equality)],[c_10912,c_48151]) ).
tff(c_49147,plain,
( ( unpack1(i,o,i,i) = o )
| ( pack2(o,i) = i )
| ( pack1(o,i) = i ) ),
inference(demodulation,[status(thm),theory(equality)],[c_47652,c_49092]) ).
tff(c_49148,plain,
unpack1(i,o,i,i) = o,
inference(negUnitSimplification,[status(thm)],[c_47653,c_40875,c_49147]) ).
tff(c_2996,plain,
! [X1_1432,X2_1433] :
( ( unpack1(inv(X1_1432),X2_1433,o,o) = X1_1432 )
| ( pack2(X1_1432,X2_1433) = i )
| ( pack1(X1_1432,X2_1433) = i ) ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_948]) ).
tff(c_388,plain,
! [X1_337,X2_338] :
( ( unpack1(X1_337,X2_338,o,pack2(X1_337,X2_338)) = X1_337 )
| ( pack1(X1_337,X2_338) = i ) ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_89]) ).
tff(c_397,plain,
! [X1_337,X2_338] :
( ( unpack1(X1_337,X2_338,o,o) = X1_337 )
| ( pack1(X1_337,X2_338) = i )
| ( pack2(X1_337,X2_338) = i ) ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_388]) ).
tff(c_3002,plain,
! [X1_1432,X2_1433] :
( ( inv(X1_1432) = X1_1432 )
| ( pack1(inv(X1_1432),X2_1433) = i )
| ( pack2(inv(X1_1432),X2_1433) = i )
| ( pack2(X1_1432,X2_1433) = i )
| ( pack1(X1_1432,X2_1433) = i ) ),
inference(superposition,[status(thm),theory(equality)],[c_2996,c_397]) ).
tff(c_3026,plain,
! [X1_1432,X2_1433] :
( ( pack1(inv(X1_1432),X2_1433) = i )
| ( pack2(inv(X1_1432),X2_1433) = i )
| ( pack2(X1_1432,X2_1433) = i )
| ( pack1(X1_1432,X2_1433) = i ) ),
inference(negUnitSimplification,[status(thm)],[c_4,c_3002]) ).
tff(c_698,plain,
! [X1_532,X2_533] :
( ( unpack1(X1_532,X2_533,o,inv(pack2(X1_532,X2_533))) = X1_532 )
| ( pack1(X1_532,X2_533) = i ) ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_260]) ).
tff(c_3102,plain,
! [X1_1462,X2_1463] :
( ( unpack1(X1_1462,X2_1463,o,o) = X1_1462 )
| ( pack1(X1_1462,X2_1463) = i )
| ( inv(pack2(X1_1462,X2_1463)) = i ) ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_698]) ).
tff(c_3193,plain,
! [X1_1477,X2_1478] :
( ( pack2(X1_1477,X2_1478) != i )
| ( unpack1(X1_1477,X2_1478,o,o) = X1_1477 )
| ( pack1(X1_1477,X2_1478) = i ) ),
inference(superposition,[status(thm),theory(equality)],[c_3102,c_4]) ).
tff(c_963,plain,
! [X1_652,X2_653] :
( ( unpack1(inv(X1_652),X2_653,o,o) = X1_652 )
| ( pack2(X1_652,X2_653) = i )
| ( pack1(X1_652,X2_653) = i ) ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_948]) ).
tff(c_3200,plain,
! [X1_652,X2_1478] :
( ( inv(X1_652) = X1_652 )
| ( pack2(X1_652,X2_1478) = i )
| ( pack1(X1_652,X2_1478) = i )
| ( pack2(inv(X1_652),X2_1478) != i )
| ( pack1(inv(X1_652),X2_1478) = i ) ),
inference(superposition,[status(thm),theory(equality)],[c_3193,c_963]) ).
tff(c_25994,plain,
! [X1_15046,X2_15047] :
( ( pack2(X1_15046,X2_15047) = i )
| ( pack1(X1_15046,X2_15047) = i )
| ( pack2(inv(X1_15046),X2_15047) != i )
| ( pack1(inv(X1_15046),X2_15047) = i ) ),
inference(negUnitSimplification,[status(thm)],[c_4,c_3200]) ).
tff(c_26133,plain,
! [X1_15113,X2_15114] :
( ( pack1(inv(X1_15113),X2_15114) = i )
| ( pack2(X1_15113,X2_15114) = i )
| ( pack1(X1_15113,X2_15114) = i ) ),
inference(superposition,[status(thm),theory(equality)],[c_3026,c_25994]) ).
tff(c_26460,plain,
! [X2_15114,X_2] :
( ( pack1(i,X2_15114) = i )
| ( pack2(X_2,X2_15114) = i )
| ( pack1(X_2,X2_15114) = i )
| ( o != X_2 ) ),
inference(superposition,[status(thm),theory(equality)],[c_38,c_26133]) ).
tff(c_40916,plain,
( ( pack1(i,i) = i )
| ( pack1(o,i) = i ) ),
inference(superposition,[status(thm),theory(equality)],[c_26460,c_40875]) ).
tff(c_48376,plain,
pack1(i,i) = i,
inference(negUnitSimplification,[status(thm)],[c_47653,c_40916]) ).
tff(c_12,plain,
! [X1_9,X2_10] : ( unpack1(X1_9,X2_10,inv(pack1(X1_9,X2_10)),pack2(X1_9,X2_10)) = X1_9 ),
inference(cnfTransformation,[status(thm)],[f_39]) ).
tff(c_48049,plain,
unpack1(o,o,inv(i),pack2(o,o)) = o,
inference(superposition,[status(thm),theory(equality)],[c_47652,c_12]) ).
tff(c_50447,plain,
( ( unpack1(o,o,inv(i),i) = o )
| ( pack1(o,o) != i )
| ( pack2(o,i) = i )
| ( pack1(o,i) = i ) ),
inference(superposition,[status(thm),theory(equality)],[c_10912,c_48049]) ).
tff(c_50511,plain,
( ( unpack1(o,o,inv(i),i) = o )
| ( pack2(o,i) = i )
| ( pack1(o,i) = i ) ),
inference(demodulation,[status(thm),theory(equality)],[c_47652,c_50447]) ).
tff(c_50512,plain,
unpack1(o,o,inv(i),i) = o,
inference(negUnitSimplification,[status(thm)],[c_47653,c_40875,c_50511]) ).
tff(c_50551,plain,
( ( unpack1(o,o,o,i) = o )
| ( inv(i) = i ) ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_50512]) ).
tff(c_50565,plain,
unpack1(o,o,o,i) = o,
inference(negUnitSimplification,[status(thm)],[c_4,c_50551]) ).
tff(c_48061,plain,
unpack1(o,o,i,pack2(o,o)) = o,
inference(superposition,[status(thm),theory(equality)],[c_47652,c_6]) ).
tff(c_48840,plain,
( ( unpack1(o,o,i,i) = o )
| ( pack1(o,o) != i )
| ( pack2(o,i) = i )
| ( pack1(o,i) = i ) ),
inference(superposition,[status(thm),theory(equality)],[c_10912,c_48061]) ).
tff(c_48922,plain,
( ( unpack1(o,o,i,i) = o )
| ( pack2(o,i) = i )
| ( pack1(o,i) = i ) ),
inference(demodulation,[status(thm),theory(equality)],[c_47652,c_48840]) ).
tff(c_48923,plain,
unpack1(o,o,i,i) = o,
inference(negUnitSimplification,[status(thm)],[c_47653,c_40875,c_48922]) ).
tff(c_48467,plain,
( ( o = i )
| ( pack2(i,i) = i )
| ( unpack2(i,o,i,o) = i )
| ( inv(i) = i ) ),
inference(superposition,[status(thm),theory(equality)],[c_48376,c_2571]) ).
tff(c_48732,plain,
( ( pack2(i,i) = i )
| ( unpack2(i,o,i,o) = i ) ),
inference(negUnitSimplification,[status(thm)],[c_4,c_44,c_48467]) ).
tff(c_53557,plain,
unpack2(i,o,i,o) = i,
inference(splitLeft,[status(thm)],[c_48732]) ).
tff(c_53570,plain,
( ( o = i )
| ( pack2(i,o) = i )
| ( pack1(i,o) != o ) ),
inference(superposition,[status(thm),theory(equality)],[c_53557,c_851]) ).
tff(c_53621,plain,
( ( pack2(i,o) = i )
| ( pack1(i,o) != o ) ),
inference(negUnitSimplification,[status(thm)],[c_44,c_53570]) ).
tff(c_53635,plain,
pack1(i,o) != o,
inference(splitLeft,[status(thm)],[c_53621]) ).
tff(c_53644,plain,
pack1(i,o) = i,
inference(superposition,[status(thm),theory(equality)],[c_2,c_53635]) ).
tff(c_48040,plain,
unpack1(o,o,i,inv(pack2(o,o))) = o,
inference(superposition,[status(thm),theory(equality)],[c_47652,c_14]) ).
tff(c_51306,plain,
( ( unpack1(o,o,i,inv(i)) = o )
| ( pack1(o,o) != i )
| ( pack2(o,i) = i )
| ( pack1(o,i) = i ) ),
inference(superposition,[status(thm),theory(equality)],[c_10912,c_48040]) ).
tff(c_51383,plain,
( ( unpack1(o,o,i,inv(i)) = o )
| ( pack2(o,i) = i )
| ( pack1(o,i) = i ) ),
inference(demodulation,[status(thm),theory(equality)],[c_47652,c_51306]) ).
tff(c_51384,plain,
unpack1(o,o,i,inv(i)) = o,
inference(negUnitSimplification,[status(thm)],[c_47653,c_40875,c_51383]) ).
tff(c_51425,plain,
( ( unpack1(o,o,i,o) = o )
| ( inv(i) = i ) ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_51384]) ).
tff(c_51439,plain,
unpack1(o,o,i,o) = o,
inference(negUnitSimplification,[status(thm)],[c_4,c_51425]) ).
tff(c_53703,plain,
( ( o = i )
| ( pack2(i,o) = i )
| ( unpack1(o,o,i,o) = i )
| ( inv(i) = i ) ),
inference(superposition,[status(thm),theory(equality)],[c_53644,c_2254]) ).
tff(c_53951,plain,
( ( o = i )
| ( pack2(i,o) = i )
| ( o = i )
| ( inv(i) = i ) ),
inference(demodulation,[status(thm),theory(equality)],[c_51439,c_53703]) ).
tff(c_53952,plain,
pack2(i,o) = i,
inference(negUnitSimplification,[status(thm)],[c_4,c_44,c_44,c_53951]) ).
tff(c_54149,plain,
( ( o = i )
| ( inv(i) = i )
| ( unpack1(o,o,pack1(i,o),i) = i ) ),
inference(superposition,[status(thm),theory(equality)],[c_53952,c_756]) ).
tff(c_54407,plain,
( ( o = i )
| ( inv(i) = i )
| ( o = i ) ),
inference(demodulation,[status(thm),theory(equality)],[c_48923,c_53644,c_54149]) ).
tff(c_54409,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_44,c_4,c_44,c_54407]) ).
tff(c_54411,plain,
pack1(i,o) = o,
inference(splitRight,[status(thm)],[c_53621]) ).
tff(c_54410,plain,
pack2(i,o) = i,
inference(splitRight,[status(thm)],[c_53621]) ).
tff(c_3329,plain,
! [X1_1508,X2_1507] :
( ( o = X1_1508 )
| ( pack1(X1_1508,X2_1507) = i )
| ( inv(X1_1508) = i )
| ( unpack1(o,X2_1507,o,pack2(X1_1508,X2_1507)) = i ) ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_3269]) ).
tff(c_54859,plain,
( ( o = i )
| ( pack1(i,o) = i )
| ( inv(i) = i )
| ( unpack1(o,o,o,i) = i ) ),
inference(superposition,[status(thm),theory(equality)],[c_54410,c_3329]) ).
tff(c_55141,plain,
( ( o = i )
| ( o = i )
| ( inv(i) = i )
| ( o = i ) ),
inference(demodulation,[status(thm),theory(equality)],[c_50565,c_54411,c_54859]) ).
tff(c_55143,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_44,c_4,c_44,c_44,c_55141]) ).
tff(c_55144,plain,
pack2(i,i) = i,
inference(splitRight,[status(thm)],[c_48732]) ).
tff(c_1223,plain,
! [X1_787,X2_788] :
( ( unpack1(X1_787,o,pack1(X1_787,X2_788),pack2(X1_787,X2_788)) = X1_787 )
| ( inv(X2_788) = i ) ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_159]) ).
tff(c_1262,plain,
! [X1_787,X2_788] :
( ( o = X1_787 )
| ( inv(X2_788) = i )
| ( unpack1(X1_787,o,pack1(X1_787,X2_788),pack2(X1_787,X2_788)) = i ) ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_1223]) ).
tff(c_55241,plain,
( ( o = i )
| ( inv(i) = i )
| ( unpack1(i,o,pack1(i,i),i) = i ) ),
inference(superposition,[status(thm),theory(equality)],[c_55144,c_1262]) ).
tff(c_55490,plain,
( ( o = i )
| ( inv(i) = i )
| ( o = i ) ),
inference(demodulation,[status(thm),theory(equality)],[c_49148,c_48376,c_55241]) ).
tff(c_55492,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_44,c_4,c_44,c_55490]) ).
tff(c_55514,plain,
! [X_28006] : ( i = X_28006 ),
inference(splitRight,[status(thm)],[c_31]) ).
tff(c_55522,plain,
! [X_2] : ( i != X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_55514,c_4]) ).
tff(c_55493,plain,
! [X_1] : ( i = X_1 ),
inference(splitRight,[status(thm)],[c_31]) ).
tff(c_55524,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_55522,c_55493]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : HWV052-1.002.002 : TPTP v8.1.2. Released v4.1.0.
% 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
% 0.16/0.37 % Computer : n020.cluster.edu
% 0.16/0.37 % Model : x86_64 x86_64
% 0.16/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37 % Memory : 8042.1875MB
% 0.16/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37 % CPULimit : 300
% 0.16/0.37 % WCLimit : 300
% 0.16/0.37 % DateTime : Thu Aug 3 23:55:52 EDT 2023
% 0.16/0.37 % CPUTime :
% 18.88/6.98 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 19.02/7.00
% 19.02/7.00 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 19.02/7.06
% 19.02/7.06 Inference rules
% 19.02/7.06 ----------------------
% 19.02/7.06 #Ref : 1
% 19.02/7.06 #Sup : 11806
% 19.02/7.06 #Fact : 1
% 19.02/7.06 #Define : 0
% 19.02/7.06 #Split : 14
% 19.02/7.06 #Chain : 0
% 19.02/7.06 #Close : 0
% 19.02/7.06
% 19.02/7.06 Ordering : KBO
% 19.02/7.06
% 19.02/7.06 Simplification rules
% 19.02/7.06 ----------------------
% 19.02/7.06 #Subsume : 2693
% 19.02/7.06 #Demod : 3840
% 19.02/7.06 #Tautology : 4816
% 19.02/7.06 #SimpNegUnit : 2097
% 19.02/7.06 #BackRed : 35
% 19.02/7.06
% 19.02/7.06 #Partial instantiations: 12254
% 19.02/7.06 #Strategies tried : 1
% 19.02/7.06
% 19.02/7.06 Timing (in seconds)
% 19.02/7.06 ----------------------
% 19.02/7.06 Preprocessing : 0.43
% 19.02/7.06 Parsing : 0.23
% 19.02/7.06 CNF conversion : 0.02
% 19.02/7.06 Main loop : 5.48
% 19.02/7.06 Inferencing : 1.87
% 19.02/7.06 Reduction : 1.41
% 19.02/7.06 Demodulation : 0.92
% 19.02/7.06 BG Simplification : 0.11
% 19.02/7.06 Subsumption : 1.69
% 19.02/7.06 Abstraction : 0.12
% 19.02/7.06 MUC search : 0.00
% 19.02/7.06 Cooper : 0.00
% 19.02/7.06 Total : 6.01
% 19.02/7.06 Index Insertion : 0.00
% 19.02/7.06 Index Deletion : 0.00
% 19.02/7.06 Index Matching : 0.00
% 19.02/7.06 BG Taut test : 0.00
%------------------------------------------------------------------------------