TSTP Solution File: HWV003-3 by Beagle---0.9.51
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : HWV003-3 : TPTP v8.1.2. Released v2.7.0.
% 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 : n012.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 10:42:22 EDT 2023
% Result : Unsatisfiable 6.49s 2.60s
% Output : CNFRefutation 6.77s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 80
% Syntax : Number of formulae : 507 ( 344 unt; 22 typ; 0 def)
% Number of atoms : 680 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 422 ( 227 ~; 195 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 0 ( 0 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 23 ( 22 usr; 23 prp; 0-0 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 0 (; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ #nlpp > s2 > s1 > conjline19 > conjline18 > cI > c2 > c1 > b > a26 > a25 > a24 > a23 > a22 > a21 > a17 > a16 > a15 > a14 > a13 > a12 > a11 > a
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(a16,type,
a16: $o ).
tff(a26,type,
a26: $o ).
tff(a25,type,
a25: $o ).
tff(s1,type,
s1: $o ).
tff(a21,type,
a21: $o ).
tff(a15,type,
a15: $o ).
tff(c1,type,
c1: $o ).
tff(c2,type,
c2: $o ).
tff(a23,type,
a23: $o ).
tff(a17,type,
a17: $o ).
tff(a13,type,
a13: $o ).
tff(a14,type,
a14: $o ).
tff(a11,type,
a11: $o ).
tff(b,type,
b: $o ).
tff(s2,type,
s2: $o ).
tff(a24,type,
a24: $o ).
tff(a12,type,
a12: $o ).
tff(a,type,
a: $o ).
tff(conjline18,type,
conjline18: $o ).
tff(a22,type,
a22: $o ).
tff(conjline19,type,
conjline19: $o ).
tff(cI,type,
cI: $o ).
tff(f_360,axiom,
( conjline18
| conjline19 ),
file(unknown,unknown) ).
tff(f_121,axiom,
( a17
| a15 ),
file(unknown,unknown) ).
tff(f_91,axiom,
( a15
| a14 ),
file(unknown,unknown) ).
tff(f_194,axiom,
( ~ a22
| cI ),
file(unknown,unknown) ).
tff(f_229,axiom,
( ~ a24
| ~ cI ),
file(unknown,unknown) ).
tff(f_224,axiom,
( a24
| cI ),
file(unknown,unknown) ).
tff(f_132,axiom,
( ~ a17
| ~ a15
| ~ cI ),
file(unknown,unknown) ).
tff(f_268,axiom,
( s2
| cI
| ~ a21 ),
file(unknown,unknown) ).
tff(f_136,axiom,
( s1
| a16 ),
file(unknown,unknown) ).
tff(f_106,axiom,
( a16
| a14 ),
file(unknown,unknown) ).
tff(f_147,axiom,
( ~ s1
| ~ a16
| ~ a17 ),
file(unknown,unknown) ).
tff(f_34,axiom,
( a11
| b ),
file(unknown,unknown) ).
tff(f_210,axiom,
( a23
| ~ a ),
file(unknown,unknown) ).
tff(f_238,axiom,
( ~ a25
| b ),
file(unknown,unknown) ).
tff(f_151,axiom,
( c1
| a15 ),
file(unknown,unknown) ).
tff(f_94,axiom,
( a15
| cI ),
file(unknown,unknown) ).
tff(f_162,axiom,
( ~ c1
| ~ a15
| ~ a11 ),
file(unknown,unknown) ).
tff(f_76,axiom,
( a14
| a12 ),
file(unknown,unknown) ).
tff(f_46,axiom,
( a12
| a ),
file(unknown,unknown) ).
tff(f_214,axiom,
( a23
| ~ b ),
file(unknown,unknown) ).
tff(f_61,axiom,
( a13
| b ),
file(unknown,unknown) ).
tff(f_87,axiom,
( ~ a14
| ~ a12
| ~ a13 ),
file(unknown,unknown) ).
tff(f_205,axiom,
( a22
| ~ cI
| ~ a23 ),
file(unknown,unknown) ).
tff(f_297,axiom,
( c2
| ~ a26 ),
file(unknown,unknown) ).
tff(f_330,axiom,
( ~ conjline18
| ~ s1
| ~ s2 ),
file(unknown,unknown) ).
tff(f_169,axiom,
( a21
| a
| ~ b ),
file(unknown,unknown) ).
tff(f_117,axiom,
( ~ a16
| ~ a14
| ~ a15 ),
file(unknown,unknown) ).
tff(f_245,axiom,
( a25
| ~ a
| ~ b ),
file(unknown,unknown) ).
tff(f_175,axiom,
( a21
| ~ a
| b ),
file(unknown,unknown) ).
tff(f_72,axiom,
( ~ a13
| ~ b
| ~ a11 ),
file(unknown,unknown) ).
tff(f_261,axiom,
( a26
| ~ a24
| ~ a25 ),
file(unknown,unknown) ).
tff(f_102,axiom,
( ~ a15
| ~ a14
| ~ cI ),
file(unknown,unknown) ).
tff(f_139,axiom,
( s1
| a17 ),
file(unknown,unknown) ).
tff(f_124,axiom,
( a17
| cI ),
file(unknown,unknown) ).
tff(f_288,axiom,
( ~ s2
| ~ cI
| ~ a21 ),
file(unknown,unknown) ).
tff(f_181,axiom,
( ~ a21
| a
| b ),
file(unknown,unknown) ).
tff(f_274,axiom,
( s2
| ~ cI
| a21 ),
file(unknown,unknown) ).
tff(f_280,axiom,
( ~ s2
| cI
| a21 ),
file(unknown,unknown) ).
tff(f_322,axiom,
( ~ conjline18
| s1
| s2 ),
file(unknown,unknown) ).
tff(f_79,axiom,
( a14
| a13 ),
file(unknown,unknown) ).
tff(f_57,axiom,
( ~ a12
| ~ a
| ~ a11 ),
file(unknown,unknown) ).
tff(f_254,axiom,
( ~ a26
| a25 ),
file(unknown,unknown) ).
tff(f_234,axiom,
( ~ a25
| a ),
file(unknown,unknown) ).
tff(f_42,axiom,
( ~ a11
| ~ a
| ~ b ),
file(unknown,unknown) ).
tff(f_109,axiom,
( a16
| a15 ),
file(unknown,unknown) ).
tff(f_189,axiom,
( ~ a21
| ~ a
| ~ b ),
file(unknown,unknown) ).
tff(f_198,axiom,
( ~ a22
| a23 ),
file(unknown,unknown) ).
tff(f_220,axiom,
( ~ a23
| a
| b ),
file(unknown,unknown) ).
tff(f_49,axiom,
( a12
| a11 ),
file(unknown,unknown) ).
tff(f_64,axiom,
( a13
| a11 ),
file(unknown,unknown) ).
tff(f_31,axiom,
( a11
| a ),
file(unknown,unknown) ).
tff(f_316,axiom,
( conjline18
| ~ s1
| s2 ),
file(unknown,unknown) ).
tff(f_303,axiom,
( ~ c2
| a22
| a26 ),
file(unknown,unknown) ).
tff(f_349,axiom,
( ~ conjline19
| c1
| c2 ),
file(unknown,unknown) ).
tff(f_250,axiom,
( ~ a26
| a24 ),
file(unknown,unknown) ).
tff(f_293,axiom,
( c2
| ~ a22 ),
file(unknown,unknown) ).
tff(f_357,axiom,
( ~ conjline19
| ~ c1
| ~ c2 ),
file(unknown,unknown) ).
tff(f_154,axiom,
( c1
| a11 ),
file(unknown,unknown) ).
tff(c_122,plain,
( conjline19
| conjline18 ),
inference(cnfTransformation,[status(thm)],[f_360]) ).
tff(c_123,plain,
conjline18,
inference(splitLeft,[status(thm)],[c_122]) ).
tff(c_38,plain,
( a15
| a17 ),
inference(cnfTransformation,[status(thm)],[f_121]) ).
tff(c_3183,plain,
a17,
inference(splitLeft,[status(thm)],[c_38]) ).
tff(c_26,plain,
( a14
| a15 ),
inference(cnfTransformation,[status(thm)],[f_91]) ).
tff(c_3250,plain,
a15,
inference(splitLeft,[status(thm)],[c_26]) ).
tff(c_64,plain,
( cI
| ~ a22 ),
inference(cnfTransformation,[status(thm)],[f_194]) ).
tff(c_2710,plain,
~ a22,
inference(splitLeft,[status(thm)],[c_64]) ).
tff(c_2713,plain,
a17,
inference(splitLeft,[status(thm)],[c_38]) ).
tff(c_2721,plain,
a15,
inference(splitLeft,[status(thm)],[c_26]) ).
tff(c_78,plain,
( ~ cI
| ~ a24 ),
inference(cnfTransformation,[status(thm)],[f_229]) ).
tff(c_2899,plain,
~ a24,
inference(splitLeft,[status(thm)],[c_78]) ).
tff(c_76,plain,
( cI
| a24 ),
inference(cnfTransformation,[status(thm)],[f_224]) ).
tff(c_2902,plain,
cI,
inference(negUnitSimplification,[status(thm)],[c_2899,c_76]) ).
tff(c_42,plain,
( ~ cI
| ~ a15
| ~ a17 ),
inference(cnfTransformation,[status(thm)],[f_132]) ).
tff(c_2936,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2713,c_2721,c_2902,c_42]) ).
tff(c_2937,plain,
~ cI,
inference(splitRight,[status(thm)],[c_78]) ).
tff(c_92,plain,
( ~ a21
| cI
| s2 ),
inference(cnfTransformation,[status(thm)],[f_268]) ).
tff(c_3009,plain,
( ~ a21
| s2 ),
inference(negUnitSimplification,[status(thm)],[c_2937,c_92]) ).
tff(c_3010,plain,
~ a21,
inference(splitLeft,[status(thm)],[c_3009]) ).
tff(c_44,plain,
( a16
| s1 ),
inference(cnfTransformation,[status(thm)],[f_136]) ).
tff(c_2726,plain,
s1,
inference(splitLeft,[status(thm)],[c_44]) ).
tff(c_32,plain,
( a14
| a16 ),
inference(cnfTransformation,[status(thm)],[f_106]) ).
tff(c_2731,plain,
a16,
inference(splitLeft,[status(thm)],[c_32]) ).
tff(c_48,plain,
( ~ a17
| ~ a16
| ~ s1 ),
inference(cnfTransformation,[status(thm)],[f_147]) ).
tff(c_2780,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2726,c_2731,c_2713,c_48]) ).
tff(c_2781,plain,
a14,
inference(splitRight,[status(thm)],[c_32]) ).
tff(c_4,plain,
( b
| a11 ),
inference(cnfTransformation,[status(thm)],[f_34]) ).
tff(c_124,plain,
a11,
inference(splitLeft,[status(thm)],[c_4]) ).
tff(c_2011,plain,
s1,
inference(splitLeft,[status(thm)],[c_44]) ).
tff(c_1957,plain,
a17,
inference(splitLeft,[status(thm)],[c_38]) ).
tff(c_1961,plain,
a15,
inference(splitLeft,[status(thm)],[c_26]) ).
tff(c_70,plain,
( ~ a
| a23 ),
inference(cnfTransformation,[status(thm)],[f_210]) ).
tff(c_1892,plain,
~ a,
inference(splitLeft,[status(thm)],[c_70]) ).
tff(c_82,plain,
( b
| ~ a25 ),
inference(cnfTransformation,[status(thm)],[f_238]) ).
tff(c_1871,plain,
~ a25,
inference(splitLeft,[status(thm)],[c_82]) ).
tff(c_50,plain,
( a15
| c1 ),
inference(cnfTransformation,[status(thm)],[f_151]) ).
tff(c_129,plain,
c1,
inference(splitLeft,[status(thm)],[c_50]) ).
tff(c_28,plain,
( cI
| a15 ),
inference(cnfTransformation,[status(thm)],[f_94]) ).
tff(c_764,plain,
a15,
inference(splitLeft,[status(thm)],[c_28]) ).
tff(c_54,plain,
( ~ a11
| ~ a15
| ~ c1 ),
inference(cnfTransformation,[status(thm)],[f_162]) ).
tff(c_1021,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_129,c_764,c_124,c_54]) ).
tff(c_1023,plain,
~ a15,
inference(splitRight,[status(thm)],[c_28]) ).
tff(c_125,plain,
~ a22,
inference(splitLeft,[status(thm)],[c_64]) ).
tff(c_354,plain,
a15,
inference(splitLeft,[status(thm)],[c_28]) ).
tff(c_655,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_129,c_354,c_124,c_54]) ).
tff(c_656,plain,
cI,
inference(splitRight,[status(thm)],[c_28]) ).
tff(c_132,plain,
a15,
inference(splitLeft,[status(thm)],[c_28]) ).
tff(c_286,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_129,c_132,c_124,c_54]) ).
tff(c_287,plain,
cI,
inference(splitRight,[status(thm)],[c_28]) ).
tff(c_20,plain,
( a12
| a14 ),
inference(cnfTransformation,[status(thm)],[f_76]) ).
tff(c_130,plain,
a14,
inference(splitLeft,[status(thm)],[c_20]) ).
tff(c_131,plain,
~ a,
inference(splitLeft,[status(thm)],[c_70]) ).
tff(c_8,plain,
( a
| a12 ),
inference(cnfTransformation,[status(thm)],[f_46]) ).
tff(c_299,plain,
a12,
inference(negUnitSimplification,[status(thm)],[c_131,c_8]) ).
tff(c_72,plain,
( ~ b
| a23 ),
inference(cnfTransformation,[status(thm)],[f_214]) ).
tff(c_289,plain,
~ b,
inference(splitLeft,[status(thm)],[c_72]) ).
tff(c_14,plain,
( b
| a13 ),
inference(cnfTransformation,[status(thm)],[f_61]) ).
tff(c_292,plain,
a13,
inference(negUnitSimplification,[status(thm)],[c_289,c_14]) ).
tff(c_24,plain,
( ~ a13
| ~ a12
| ~ a14 ),
inference(cnfTransformation,[status(thm)],[f_87]) ).
tff(c_313,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_130,c_299,c_292,c_24]) ).
tff(c_314,plain,
a23,
inference(splitRight,[status(thm)],[c_72]) ).
tff(c_68,plain,
( ~ a23
| ~ cI
| a22 ),
inference(cnfTransformation,[status(thm)],[f_205]) ).
tff(c_350,plain,
a22,
inference(demodulation,[status(thm),theory(equality)],[c_287,c_314,c_68]) ).
tff(c_351,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_125,c_350]) ).
tff(c_352,plain,
a23,
inference(splitRight,[status(thm)],[c_70]) ).
tff(c_757,plain,
a22,
inference(demodulation,[status(thm),theory(equality)],[c_656,c_352,c_68]) ).
tff(c_758,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_125,c_757]) ).
tff(c_760,plain,
~ a14,
inference(splitRight,[status(thm)],[c_20]) ).
tff(c_1030,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1023,c_760,c_26]) ).
tff(c_1031,plain,
a15,
inference(splitRight,[status(thm)],[c_50]) ).
tff(c_1033,plain,
a14,
inference(splitLeft,[status(thm)],[c_20]) ).
tff(c_102,plain,
( ~ a26
| c2 ),
inference(cnfTransformation,[status(thm)],[f_297]) ).
tff(c_128,plain,
~ a26,
inference(splitLeft,[status(thm)],[c_102]) ).
tff(c_1254,plain,
a24,
inference(splitLeft,[status(thm)],[c_76]) ).
tff(c_1113,plain,
s1,
inference(splitLeft,[status(thm)],[c_44]) ).
tff(c_112,plain,
( ~ s2
| ~ s1
| ~ conjline18 ),
inference(cnfTransformation,[status(thm)],[f_330]) ).
tff(c_1141,plain,
~ s2,
inference(demodulation,[status(thm),theory(equality)],[c_123,c_1113,c_112]) ).
tff(c_1121,plain,
a24,
inference(splitLeft,[status(thm)],[c_76]) ).
tff(c_1128,plain,
~ cI,
inference(demodulation,[status(thm),theory(equality)],[c_1121,c_78]) ).
tff(c_1143,plain,
~ a21,
inference(negUnitSimplification,[status(thm)],[c_1141,c_1128,c_92]) ).
tff(c_1034,plain,
~ a,
inference(splitLeft,[status(thm)],[c_70]) ).
tff(c_1043,plain,
a12,
inference(negUnitSimplification,[status(thm)],[c_1034,c_8]) ).
tff(c_1037,plain,
~ b,
inference(splitLeft,[status(thm)],[c_72]) ).
tff(c_1046,plain,
a13,
inference(negUnitSimplification,[status(thm)],[c_1037,c_14]) ).
tff(c_1108,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_1033,c_1043,c_1046,c_24]) ).
tff(c_1110,plain,
b,
inference(splitRight,[status(thm)],[c_72]) ).
tff(c_56,plain,
( ~ b
| a
| a21 ),
inference(cnfTransformation,[status(thm)],[f_169]) ).
tff(c_1155,plain,
( a
| a21 ),
inference(demodulation,[status(thm),theory(equality)],[c_1110,c_56]) ).
tff(c_1156,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1143,c_1034,c_1155]) ).
tff(c_1157,plain,
cI,
inference(splitRight,[status(thm)],[c_76]) ).
tff(c_1109,plain,
a23,
inference(splitRight,[status(thm)],[c_72]) ).
tff(c_1168,plain,
a22,
inference(demodulation,[status(thm),theory(equality)],[c_1157,c_1109,c_68]) ).
tff(c_1169,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_125,c_1168]) ).
tff(c_1170,plain,
a16,
inference(splitRight,[status(thm)],[c_44]) ).
tff(c_36,plain,
( ~ a15
| ~ a14
| ~ a16 ),
inference(cnfTransformation,[status(thm)],[f_117]) ).
tff(c_1243,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_1170,c_1033,c_1031,c_36]) ).
tff(c_1245,plain,
a,
inference(splitRight,[status(thm)],[c_70]) ).
tff(c_1256,plain,
a13,
inference(splitLeft,[status(thm)],[c_14]) ).
tff(c_1252,plain,
s1,
inference(splitLeft,[status(thm)],[c_44]) ).
tff(c_1281,plain,
~ s2,
inference(demodulation,[status(thm),theory(equality)],[c_123,c_1252,c_112]) ).
tff(c_1263,plain,
~ cI,
inference(demodulation,[status(thm),theory(equality)],[c_1254,c_78]) ).
tff(c_1283,plain,
~ a21,
inference(negUnitSimplification,[status(thm)],[c_1281,c_1263,c_92]) ).
tff(c_1258,plain,
~ a25,
inference(splitLeft,[status(thm)],[c_82]) ).
tff(c_84,plain,
( ~ b
| ~ a
| a25 ),
inference(cnfTransformation,[status(thm)],[f_245]) ).
tff(c_1276,plain,
( ~ b
| a25 ),
inference(demodulation,[status(thm),theory(equality)],[c_1245,c_84]) ).
tff(c_1277,plain,
~ b,
inference(negUnitSimplification,[status(thm)],[c_1258,c_1276]) ).
tff(c_58,plain,
( b
| ~ a
| a21 ),
inference(cnfTransformation,[status(thm)],[f_175]) ).
tff(c_1309,plain,
( b
| a21 ),
inference(demodulation,[status(thm),theory(equality)],[c_1245,c_58]) ).
tff(c_1310,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1283,c_1277,c_1309]) ).
tff(c_1311,plain,
b,
inference(splitRight,[status(thm)],[c_82]) ).
tff(c_18,plain,
( ~ a11
| ~ b
| ~ a13 ),
inference(cnfTransformation,[status(thm)],[f_72]) ).
tff(c_1344,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_1256,c_1311,c_124,c_18]) ).
tff(c_1345,plain,
b,
inference(splitRight,[status(thm)],[c_14]) ).
tff(c_1364,plain,
a25,
inference(demodulation,[status(thm),theory(equality)],[c_1245,c_1345,c_84]) ).
tff(c_90,plain,
( ~ a25
| ~ a24
| a26 ),
inference(cnfTransformation,[status(thm)],[f_261]) ).
tff(c_1401,plain,
a26,
inference(demodulation,[status(thm),theory(equality)],[c_1254,c_1364,c_90]) ).
tff(c_1402,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_128,c_1401]) ).
tff(c_1403,plain,
cI,
inference(splitRight,[status(thm)],[c_76]) ).
tff(c_30,plain,
( ~ cI
| ~ a14
| ~ a15 ),
inference(cnfTransformation,[status(thm)],[f_102]) ).
tff(c_1428,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_1031,c_1033,c_1403,c_30]) ).
tff(c_1429,plain,
a16,
inference(splitRight,[status(thm)],[c_44]) ).
tff(c_1482,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_1429,c_1033,c_1031,c_36]) ).
tff(c_1483,plain,
a12,
inference(splitRight,[status(thm)],[c_20]) ).
tff(c_1484,plain,
~ a14,
inference(splitRight,[status(thm)],[c_20]) ).
tff(c_1762,plain,
a13,
inference(splitLeft,[status(thm)],[c_14]) ).
tff(c_46,plain,
( a17
| s1 ),
inference(cnfTransformation,[status(thm)],[f_139]) ).
tff(c_1495,plain,
s1,
inference(splitLeft,[status(thm)],[c_46]) ).
tff(c_1497,plain,
a24,
inference(splitLeft,[status(thm)],[c_76]) ).
tff(c_1501,plain,
a16,
inference(negUnitSimplification,[status(thm)],[c_1484,c_32]) ).
tff(c_40,plain,
( cI
| a17 ),
inference(cnfTransformation,[status(thm)],[f_124]) ).
tff(c_1502,plain,
a17,
inference(splitLeft,[status(thm)],[c_40]) ).
tff(c_1536,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_1495,c_1501,c_1502,c_48]) ).
tff(c_1537,plain,
cI,
inference(splitRight,[status(thm)],[c_40]) ).
tff(c_1544,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_1497,c_1537,c_78]) ).
tff(c_1545,plain,
cI,
inference(splitRight,[status(thm)],[c_76]) ).
tff(c_98,plain,
( ~ a21
| ~ cI
| ~ s2 ),
inference(cnfTransformation,[status(thm)],[f_288]) ).
tff(c_1560,plain,
( ~ a21
| ~ s2 ),
inference(demodulation,[status(thm),theory(equality)],[c_1545,c_98]) ).
tff(c_1561,plain,
~ s2,
inference(splitLeft,[status(thm)],[c_1560]) ).
tff(c_1485,plain,
~ a,
inference(splitLeft,[status(thm)],[c_70]) ).
tff(c_1490,plain,
~ b,
inference(splitLeft,[status(thm)],[c_72]) ).
tff(c_60,plain,
( b
| a
| ~ a21 ),
inference(cnfTransformation,[status(thm)],[f_181]) ).
tff(c_1588,plain,
~ a21,
inference(negUnitSimplification,[status(thm)],[c_1485,c_1490,c_60]) ).
tff(c_94,plain,
( a21
| ~ cI
| s2 ),
inference(cnfTransformation,[status(thm)],[f_274]) ).
tff(c_1593,plain,
( a21
| s2 ),
inference(demodulation,[status(thm),theory(equality)],[c_1545,c_94]) ).
tff(c_1594,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1561,c_1588,c_1593]) ).
tff(c_1596,plain,
s2,
inference(splitRight,[status(thm)],[c_1560]) ).
tff(c_1606,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_123,c_1495,c_1596,c_112]) ).
tff(c_1607,plain,
a17,
inference(splitRight,[status(thm)],[c_46]) ).
tff(c_1608,plain,
~ s1,
inference(splitRight,[status(thm)],[c_46]) ).
tff(c_1615,plain,
a24,
inference(splitLeft,[status(thm)],[c_76]) ).
tff(c_1619,plain,
~ cI,
inference(demodulation,[status(thm),theory(equality)],[c_1615,c_78]) ).
tff(c_1633,plain,
( ~ a21
| s2 ),
inference(negUnitSimplification,[status(thm)],[c_1619,c_92]) ).
tff(c_1634,plain,
~ a21,
inference(splitLeft,[status(thm)],[c_1633]) ).
tff(c_96,plain,
( a21
| cI
| ~ s2 ),
inference(cnfTransformation,[status(thm)],[f_280]) ).
tff(c_1637,plain,
~ s2,
inference(negUnitSimplification,[status(thm)],[c_1619,c_1634,c_96]) ).
tff(c_110,plain,
( s2
| s1
| ~ conjline18 ),
inference(cnfTransformation,[status(thm)],[f_322]) ).
tff(c_1653,plain,
( s2
| s1 ),
inference(demodulation,[status(thm),theory(equality)],[c_123,c_110]) ).
tff(c_1654,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1608,c_1637,c_1653]) ).
tff(c_1656,plain,
a21,
inference(splitRight,[status(thm)],[c_1633]) ).
tff(c_1672,plain,
( b
| a ),
inference(demodulation,[status(thm),theory(equality)],[c_1656,c_60]) ).
tff(c_1673,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1485,c_1490,c_1672]) ).
tff(c_1674,plain,
cI,
inference(splitRight,[status(thm)],[c_76]) ).
tff(c_1759,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_1607,c_1031,c_1674,c_42]) ).
tff(c_1761,plain,
b,
inference(splitRight,[status(thm)],[c_72]) ).
tff(c_1823,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_1762,c_1761,c_124,c_18]) ).
tff(c_1825,plain,
~ a13,
inference(splitRight,[status(thm)],[c_14]) ).
tff(c_22,plain,
( a13
| a14 ),
inference(cnfTransformation,[status(thm)],[f_79]) ).
tff(c_1828,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1484,c_1825,c_22]) ).
tff(c_1830,plain,
a,
inference(splitRight,[status(thm)],[c_70]) ).
tff(c_12,plain,
( ~ a11
| ~ a
| ~ a12 ),
inference(cnfTransformation,[status(thm)],[f_57]) ).
tff(c_1861,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_1483,c_1830,c_124,c_12]) ).
tff(c_1863,plain,
a26,
inference(splitRight,[status(thm)],[c_102]) ).
tff(c_88,plain,
( a25
| ~ a26 ),
inference(cnfTransformation,[status(thm)],[f_254]) ).
tff(c_1885,plain,
a25,
inference(demodulation,[status(thm),theory(equality)],[c_1863,c_88]) ).
tff(c_1886,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1871,c_1885]) ).
tff(c_1888,plain,
a25,
inference(splitRight,[status(thm)],[c_82]) ).
tff(c_80,plain,
( a
| ~ a25 ),
inference(cnfTransformation,[status(thm)],[f_234]) ).
tff(c_1904,plain,
a,
inference(demodulation,[status(thm),theory(equality)],[c_1888,c_80]) ).
tff(c_1905,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1892,c_1904]) ).
tff(c_1907,plain,
a,
inference(splitRight,[status(thm)],[c_70]) ).
tff(c_1887,plain,
b,
inference(splitRight,[status(thm)],[c_82]) ).
tff(c_6,plain,
( ~ b
| ~ a
| ~ a11 ),
inference(cnfTransformation,[status(thm)],[f_42]) ).
tff(c_1948,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_124,c_1907,c_1887,c_6]) ).
tff(c_1949,plain,
cI,
inference(splitRight,[status(thm)],[c_64]) ).
tff(c_2006,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_1957,c_1961,c_1949,c_42]) ).
tff(c_2008,plain,
~ a15,
inference(splitRight,[status(thm)],[c_26]) ).
tff(c_34,plain,
( a15
| a16 ),
inference(cnfTransformation,[status(thm)],[f_109]) ).
tff(c_2132,plain,
a16,
inference(negUnitSimplification,[status(thm)],[c_2008,c_34]) ).
tff(c_2180,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2011,c_2132,c_1957,c_48]) ).
tff(c_2182,plain,
~ s1,
inference(splitRight,[status(thm)],[c_44]) ).
tff(c_2319,plain,
( s2
| s1 ),
inference(demodulation,[status(thm),theory(equality)],[c_123,c_110]) ).
tff(c_2320,plain,
s2,
inference(negUnitSimplification,[status(thm)],[c_2182,c_2319]) ).
tff(c_2007,plain,
a14,
inference(splitRight,[status(thm)],[c_26]) ).
tff(c_1951,plain,
a12,
inference(splitLeft,[status(thm)],[c_8]) ).
tff(c_2185,plain,
a13,
inference(splitLeft,[status(thm)],[c_14]) ).
tff(c_2236,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2007,c_1951,c_2185,c_24]) ).
tff(c_2237,plain,
b,
inference(splitRight,[status(thm)],[c_14]) ).
tff(c_62,plain,
( ~ b
| ~ a
| ~ a21 ),
inference(cnfTransformation,[status(thm)],[f_189]) ).
tff(c_2269,plain,
( ~ a
| ~ a21 ),
inference(demodulation,[status(thm),theory(equality)],[c_2237,c_62]) ).
tff(c_2270,plain,
~ a21,
inference(splitLeft,[status(thm)],[c_2269]) ).
tff(c_2288,plain,
~ a,
inference(demodulation,[status(thm),theory(equality)],[c_1951,c_124,c_12]) ).
tff(c_2308,plain,
( a
| a21 ),
inference(demodulation,[status(thm),theory(equality)],[c_2237,c_56]) ).
tff(c_2309,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_2270,c_2288,c_2308]) ).
tff(c_2311,plain,
a21,
inference(splitRight,[status(thm)],[c_2269]) ).
tff(c_2330,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2320,c_1949,c_2311,c_98]) ).
tff(c_2331,plain,
a15,
inference(splitRight,[status(thm)],[c_38]) ).
tff(c_2342,plain,
a14,
inference(splitLeft,[status(thm)],[c_22]) ).
tff(c_2426,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2331,c_2342,c_1949,c_30]) ).
tff(c_2427,plain,
a13,
inference(splitRight,[status(thm)],[c_22]) ).
tff(c_1950,plain,
a22,
inference(splitRight,[status(thm)],[c_64]) ).
tff(c_66,plain,
( a23
| ~ a22 ),
inference(cnfTransformation,[status(thm)],[f_198]) ).
tff(c_1954,plain,
a23,
inference(demodulation,[status(thm),theory(equality)],[c_1950,c_66]) ).
tff(c_74,plain,
( b
| a
| ~ a23 ),
inference(cnfTransformation,[status(thm)],[f_220]) ).
tff(c_2444,plain,
( b
| a ),
inference(demodulation,[status(thm),theory(equality)],[c_1954,c_74]) ).
tff(c_2445,plain,
a,
inference(splitLeft,[status(thm)],[c_2444]) ).
tff(c_2453,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_1951,c_2445,c_124,c_12]) ).
tff(c_2454,plain,
b,
inference(splitRight,[status(thm)],[c_2444]) ).
tff(c_2496,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2427,c_2454,c_124,c_18]) ).
tff(c_2497,plain,
a,
inference(splitRight,[status(thm)],[c_8]) ).
tff(c_2504,plain,
s1,
inference(splitLeft,[status(thm)],[c_46]) ).
tff(c_2526,plain,
a16,
inference(splitLeft,[status(thm)],[c_34]) ).
tff(c_2507,plain,
a17,
inference(splitLeft,[status(thm)],[c_38]) ).
tff(c_2532,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2504,c_2526,c_2507,c_48]) ).
tff(c_2533,plain,
a15,
inference(splitRight,[status(thm)],[c_34]) ).
tff(c_2498,plain,
~ a12,
inference(splitRight,[status(thm)],[c_8]) ).
tff(c_2510,plain,
a14,
inference(negUnitSimplification,[status(thm)],[c_2498,c_20]) ).
tff(c_2550,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2533,c_2510,c_1949,c_30]) ).
tff(c_2551,plain,
a15,
inference(splitRight,[status(thm)],[c_38]) ).
tff(c_2558,plain,
a14,
inference(negUnitSimplification,[status(thm)],[c_2498,c_20]) ).
tff(c_2583,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2551,c_2558,c_1949,c_30]) ).
tff(c_2585,plain,
~ s1,
inference(splitRight,[status(thm)],[c_46]) ).
tff(c_2636,plain,
( ~ a21
| ~ s2 ),
inference(demodulation,[status(thm),theory(equality)],[c_1949,c_98]) ).
tff(c_2637,plain,
~ s2,
inference(splitLeft,[status(thm)],[c_2636]) ).
tff(c_2667,plain,
( s2
| s1 ),
inference(demodulation,[status(thm),theory(equality)],[c_123,c_110]) ).
tff(c_2668,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_2585,c_2637,c_2667]) ).
tff(c_2669,plain,
~ a21,
inference(splitRight,[status(thm)],[c_2636]) ).
tff(c_2588,plain,
~ b,
inference(splitLeft,[status(thm)],[c_72]) ).
tff(c_2676,plain,
( b
| a21 ),
inference(demodulation,[status(thm),theory(equality)],[c_2497,c_58]) ).
tff(c_2677,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_2669,c_2588,c_2676]) ).
tff(c_2679,plain,
b,
inference(splitRight,[status(thm)],[c_72]) ).
tff(c_2707,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_124,c_2497,c_2679,c_6]) ).
tff(c_2709,plain,
~ a11,
inference(splitRight,[status(thm)],[c_4]) ).
tff(c_10,plain,
( a11
| a12 ),
inference(cnfTransformation,[status(thm)],[f_49]) ).
tff(c_2717,plain,
a12,
inference(negUnitSimplification,[status(thm)],[c_2709,c_10]) ).
tff(c_16,plain,
( a11
| a13 ),
inference(cnfTransformation,[status(thm)],[f_64]) ).
tff(c_2727,plain,
a13,
inference(negUnitSimplification,[status(thm)],[c_2709,c_16]) ).
tff(c_2848,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2781,c_2717,c_2727,c_24]) ).
tff(c_2850,plain,
~ s1,
inference(splitRight,[status(thm)],[c_44]) ).
tff(c_3030,plain,
( s2
| s1 ),
inference(demodulation,[status(thm),theory(equality)],[c_123,c_110]) ).
tff(c_3031,plain,
s2,
inference(negUnitSimplification,[status(thm)],[c_2850,c_3030]) ).
tff(c_3046,plain,
( a21
| cI ),
inference(demodulation,[status(thm),theory(equality)],[c_3031,c_96]) ).
tff(c_3047,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_2937,c_3010,c_3046]) ).
tff(c_3049,plain,
a21,
inference(splitRight,[status(thm)],[c_3009]) ).
tff(c_2,plain,
( a
| a11 ),
inference(cnfTransformation,[status(thm)],[f_31]) ).
tff(c_2715,plain,
a,
inference(negUnitSimplification,[status(thm)],[c_2709,c_2]) ).
tff(c_2708,plain,
b,
inference(splitRight,[status(thm)],[c_4]) ).
tff(c_3053,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_3049,c_2715,c_2708,c_62]) ).
tff(c_3054,plain,
a14,
inference(splitRight,[status(thm)],[c_26]) ).
tff(c_3056,plain,
a13,
inference(negUnitSimplification,[status(thm)],[c_2709,c_16]) ).
tff(c_3118,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_3054,c_2717,c_3056,c_24]) ).
tff(c_3120,plain,
~ a17,
inference(splitRight,[status(thm)],[c_38]) ).
tff(c_3142,plain,
cI,
inference(negUnitSimplification,[status(thm)],[c_3120,c_40]) ).
tff(c_3123,plain,
~ a,
inference(splitLeft,[status(thm)],[c_70]) ).
tff(c_3124,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_2709,c_3123,c_2]) ).
tff(c_3125,plain,
a23,
inference(splitRight,[status(thm)],[c_70]) ).
tff(c_3178,plain,
a22,
inference(demodulation,[status(thm),theory(equality)],[c_3142,c_3125,c_68]) ).
tff(c_3179,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_2710,c_3178]) ).
tff(c_3180,plain,
cI,
inference(splitRight,[status(thm)],[c_64]) ).
tff(c_3278,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_3183,c_3250,c_3180,c_42]) ).
tff(c_3279,plain,
a14,
inference(splitRight,[status(thm)],[c_26]) ).
tff(c_3185,plain,
a12,
inference(negUnitSimplification,[status(thm)],[c_2709,c_10]) ).
tff(c_3188,plain,
a13,
inference(negUnitSimplification,[status(thm)],[c_2709,c_16]) ).
tff(c_3329,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_3279,c_3185,c_3188,c_24]) ).
tff(c_3331,plain,
~ a17,
inference(splitRight,[status(thm)],[c_38]) ).
tff(c_3340,plain,
s1,
inference(negUnitSimplification,[status(thm)],[c_3331,c_46]) ).
tff(c_3375,plain,
~ s2,
inference(demodulation,[status(thm),theory(equality)],[c_123,c_3340,c_112]) ).
tff(c_3333,plain,
a,
inference(negUnitSimplification,[status(thm)],[c_2709,c_2]) ).
tff(c_3365,plain,
~ a21,
inference(demodulation,[status(thm),theory(equality)],[c_3333,c_2708,c_62]) ).
tff(c_3395,plain,
( a21
| s2 ),
inference(demodulation,[status(thm),theory(equality)],[c_3180,c_94]) ).
tff(c_3396,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_3375,c_3365,c_3395]) ).
tff(c_3397,plain,
conjline19,
inference(splitRight,[status(thm)],[c_122]) ).
tff(c_4506,plain,
c1,
inference(splitLeft,[status(thm)],[c_50]) ).
tff(c_3400,plain,
~ a22,
inference(splitLeft,[status(thm)],[c_64]) ).
tff(c_3398,plain,
~ conjline18,
inference(splitRight,[status(thm)],[c_122]) ).
tff(c_3403,plain,
a24,
inference(splitLeft,[status(thm)],[c_76]) ).
tff(c_3666,plain,
~ cI,
inference(demodulation,[status(thm),theory(equality)],[c_3403,c_78]) ).
tff(c_3694,plain,
( ~ a21
| s2 ),
inference(negUnitSimplification,[status(thm)],[c_3666,c_92]) ).
tff(c_3695,plain,
~ a21,
inference(splitLeft,[status(thm)],[c_3694]) ).
tff(c_3708,plain,
~ s2,
inference(negUnitSimplification,[status(thm)],[c_3666,c_3695,c_96]) ).
tff(c_3552,plain,
s1,
inference(splitLeft,[status(thm)],[c_46]) ).
tff(c_108,plain,
( s2
| ~ s1
| conjline18 ),
inference(cnfTransformation,[status(thm)],[f_316]) ).
tff(c_3718,plain,
( s2
| conjline18 ),
inference(demodulation,[status(thm),theory(equality)],[c_3552,c_108]) ).
tff(c_3719,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_3398,c_3708,c_3718]) ).
tff(c_3721,plain,
a21,
inference(splitRight,[status(thm)],[c_3694]) ).
tff(c_3553,plain,
~ a,
inference(splitLeft,[status(thm)],[c_70]) ).
tff(c_3576,plain,
~ a25,
inference(splitLeft,[status(thm)],[c_82]) ).
tff(c_3404,plain,
c1,
inference(splitLeft,[status(thm)],[c_50]) ).
tff(c_3407,plain,
a15,
inference(splitLeft,[status(thm)],[c_26]) ).
tff(c_3399,plain,
a11,
inference(splitLeft,[status(thm)],[c_4]) ).
tff(c_3446,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_3404,c_3407,c_3399,c_54]) ).
tff(c_3448,plain,
~ a15,
inference(splitRight,[status(thm)],[c_26]) ).
tff(c_3456,plain,
cI,
inference(negUnitSimplification,[status(thm)],[c_3448,c_28]) ).
tff(c_3460,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_3403,c_3456,c_78]) ).
tff(c_3462,plain,
~ c1,
inference(splitRight,[status(thm)],[c_50]) ).
tff(c_3464,plain,
~ a26,
inference(splitLeft,[status(thm)],[c_102]) ).
tff(c_104,plain,
( a26
| a22
| ~ c2 ),
inference(cnfTransformation,[status(thm)],[f_303]) ).
tff(c_3539,plain,
~ c2,
inference(negUnitSimplification,[status(thm)],[c_3400,c_3464,c_104]) ).
tff(c_118,plain,
( c2
| c1
| ~ conjline19 ),
inference(cnfTransformation,[status(thm)],[f_349]) ).
tff(c_3548,plain,
( c2
| c1 ),
inference(demodulation,[status(thm),theory(equality)],[c_3397,c_118]) ).
tff(c_3549,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_3462,c_3539,c_3548]) ).
tff(c_3551,plain,
a26,
inference(splitRight,[status(thm)],[c_102]) ).
tff(c_3585,plain,
a25,
inference(demodulation,[status(thm),theory(equality)],[c_3551,c_88]) ).
tff(c_3586,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_3576,c_3585]) ).
tff(c_3588,plain,
a25,
inference(splitRight,[status(thm)],[c_82]) ).
tff(c_3594,plain,
a,
inference(demodulation,[status(thm),theory(equality)],[c_3588,c_80]) ).
tff(c_3595,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_3553,c_3594]) ).
tff(c_3597,plain,
a,
inference(splitRight,[status(thm)],[c_70]) ).
tff(c_3599,plain,
a13,
inference(splitLeft,[status(thm)],[c_14]) ).
tff(c_3607,plain,
~ a25,
inference(splitLeft,[status(thm)],[c_82]) ).
tff(c_3617,plain,
a25,
inference(demodulation,[status(thm),theory(equality)],[c_3551,c_88]) ).
tff(c_3618,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_3607,c_3617]) ).
tff(c_3619,plain,
b,
inference(splitRight,[status(thm)],[c_82]) ).
tff(c_3649,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_3599,c_3619,c_3399,c_18]) ).
tff(c_3650,plain,
b,
inference(splitRight,[status(thm)],[c_14]) ).
tff(c_3745,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_3721,c_3597,c_3650,c_62]) ).
tff(c_3747,plain,
~ s1,
inference(splitRight,[status(thm)],[c_46]) ).
tff(c_3902,plain,
a16,
inference(negUnitSimplification,[status(thm)],[c_3747,c_44]) ).
tff(c_3748,plain,
a13,
inference(splitLeft,[status(thm)],[c_14]) ).
tff(c_3787,plain,
~ a25,
inference(splitLeft,[status(thm)],[c_82]) ).
tff(c_3794,plain,
a25,
inference(demodulation,[status(thm),theory(equality)],[c_3551,c_88]) ).
tff(c_3795,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_3787,c_3794]) ).
tff(c_3796,plain,
b,
inference(splitRight,[status(thm)],[c_82]) ).
tff(c_3832,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_3748,c_3796,c_3399,c_18]) ).
tff(c_3834,plain,
~ a13,
inference(splitRight,[status(thm)],[c_14]) ).
tff(c_3886,plain,
a14,
inference(negUnitSimplification,[status(thm)],[c_3834,c_22]) ).
tff(c_3461,plain,
a15,
inference(splitRight,[status(thm)],[c_50]) ).
tff(c_3941,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_3902,c_3886,c_3461,c_36]) ).
tff(c_3942,plain,
cI,
inference(splitRight,[status(thm)],[c_76]) ).
tff(c_3944,plain,
c1,
inference(splitLeft,[status(thm)],[c_50]) ).
tff(c_3949,plain,
a14,
inference(splitLeft,[status(thm)],[c_22]) ).
tff(c_3945,plain,
~ a,
inference(splitLeft,[status(thm)],[c_70]) ).
tff(c_3952,plain,
a12,
inference(negUnitSimplification,[status(thm)],[c_3945,c_8]) ).
tff(c_3953,plain,
~ b,
inference(splitLeft,[status(thm)],[c_72]) ).
tff(c_3965,plain,
a13,
inference(negUnitSimplification,[status(thm)],[c_3953,c_14]) ).
tff(c_3996,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_3949,c_3952,c_3965,c_24]) ).
tff(c_3997,plain,
a23,
inference(splitRight,[status(thm)],[c_72]) ).
tff(c_4023,plain,
a22,
inference(demodulation,[status(thm),theory(equality)],[c_3942,c_3997,c_68]) ).
tff(c_4024,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_3400,c_4023]) ).
tff(c_4026,plain,
~ a14,
inference(splitRight,[status(thm)],[c_22]) ).
tff(c_4028,plain,
a15,
inference(negUnitSimplification,[status(thm)],[c_4026,c_26]) ).
tff(c_4065,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_3944,c_4028,c_3399,c_54]) ).
tff(c_4066,plain,
a23,
inference(splitRight,[status(thm)],[c_70]) ).
tff(c_4183,plain,
a22,
inference(demodulation,[status(thm),theory(equality)],[c_3942,c_4066,c_68]) ).
tff(c_4184,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_3400,c_4183]) ).
tff(c_4186,plain,
~ c1,
inference(splitRight,[status(thm)],[c_50]) ).
tff(c_3943,plain,
~ a24,
inference(splitRight,[status(thm)],[c_76]) ).
tff(c_86,plain,
( a24
| ~ a26 ),
inference(cnfTransformation,[status(thm)],[f_250]) ).
tff(c_4188,plain,
~ a26,
inference(negUnitSimplification,[status(thm)],[c_3943,c_86]) ).
tff(c_4210,plain,
~ c2,
inference(negUnitSimplification,[status(thm)],[c_3400,c_4188,c_104]) ).
tff(c_4225,plain,
( c2
| c1 ),
inference(demodulation,[status(thm),theory(equality)],[c_3397,c_118]) ).
tff(c_4226,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_4186,c_4210,c_4225]) ).
tff(c_4228,plain,
a22,
inference(splitRight,[status(thm)],[c_64]) ).
tff(c_100,plain,
( ~ a22
| c2 ),
inference(cnfTransformation,[status(thm)],[f_293]) ).
tff(c_4516,plain,
c2,
inference(demodulation,[status(thm),theory(equality)],[c_4228,c_100]) ).
tff(c_120,plain,
( ~ c2
| ~ c1
| ~ conjline19 ),
inference(cnfTransformation,[status(thm)],[f_357]) ).
tff(c_4530,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_3397,c_4506,c_4516,c_120]) ).
tff(c_4531,plain,
a15,
inference(splitRight,[status(thm)],[c_50]) ).
tff(c_4234,plain,
a17,
inference(splitLeft,[status(thm)],[c_38]) ).
tff(c_4235,plain,
c1,
inference(splitLeft,[status(thm)],[c_50]) ).
tff(c_4250,plain,
c2,
inference(demodulation,[status(thm),theory(equality)],[c_4228,c_100]) ).
tff(c_4258,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_3397,c_4235,c_4250,c_120]) ).
tff(c_4259,plain,
a15,
inference(splitRight,[status(thm)],[c_50]) ).
tff(c_4227,plain,
cI,
inference(splitRight,[status(thm)],[c_64]) ).
tff(c_4286,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_4234,c_4259,c_4227,c_42]) ).
tff(c_4287,plain,
a15,
inference(splitRight,[status(thm)],[c_38]) ).
tff(c_4229,plain,
a12,
inference(splitLeft,[status(thm)],[c_8]) ).
tff(c_4289,plain,
a13,
inference(splitLeft,[status(thm)],[c_14]) ).
tff(c_4297,plain,
~ a,
inference(splitLeft,[status(thm)],[c_70]) ).
tff(c_4310,plain,
~ b,
inference(splitLeft,[status(thm)],[c_72]) ).
tff(c_4312,plain,
a23,
inference(demodulation,[status(thm),theory(equality)],[c_4228,c_66]) ).
tff(c_4365,plain,
( b
| a ),
inference(demodulation,[status(thm),theory(equality)],[c_4312,c_74]) ).
tff(c_4366,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_4297,c_4310,c_4365]) ).
tff(c_4368,plain,
b,
inference(splitRight,[status(thm)],[c_72]) ).
tff(c_4382,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_4289,c_4368,c_3399,c_18]) ).
tff(c_4384,plain,
a,
inference(splitRight,[status(thm)],[c_70]) ).
tff(c_4431,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_4229,c_4384,c_3399,c_12]) ).
tff(c_4433,plain,
~ a13,
inference(splitRight,[status(thm)],[c_14]) ).
tff(c_4434,plain,
a14,
inference(negUnitSimplification,[status(thm)],[c_4433,c_22]) ).
tff(c_4487,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_4287,c_4434,c_4227,c_30]) ).
tff(c_4489,plain,
~ a12,
inference(splitRight,[status(thm)],[c_8]) ).
tff(c_4502,plain,
a14,
inference(negUnitSimplification,[status(thm)],[c_4489,c_20]) ).
tff(c_4557,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_4531,c_4502,c_4227,c_30]) ).
tff(c_4559,plain,
~ a11,
inference(splitRight,[status(thm)],[c_4]) ).
tff(c_52,plain,
( a11
| c1 ),
inference(cnfTransformation,[status(thm)],[f_154]) ).
tff(c_4861,plain,
c1,
inference(negUnitSimplification,[status(thm)],[c_4559,c_52]) ).
tff(c_4794,plain,
c1,
inference(negUnitSimplification,[status(thm)],[c_4559,c_52]) ).
tff(c_4560,plain,
~ a22,
inference(splitLeft,[status(thm)],[c_64]) ).
tff(c_4563,plain,
a17,
inference(splitLeft,[status(thm)],[c_38]) ).
tff(c_4570,plain,
a14,
inference(splitLeft,[status(thm)],[c_22]) ).
tff(c_4580,plain,
a12,
inference(negUnitSimplification,[status(thm)],[c_4559,c_10]) ).
tff(c_4575,plain,
a13,
inference(negUnitSimplification,[status(thm)],[c_4559,c_16]) ).
tff(c_4634,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_4570,c_4580,c_4575,c_24]) ).
tff(c_4636,plain,
~ a14,
inference(splitRight,[status(thm)],[c_22]) ).
tff(c_4643,plain,
a15,
inference(negUnitSimplification,[status(thm)],[c_4636,c_26]) ).
tff(c_4561,plain,
~ a26,
inference(splitLeft,[status(thm)],[c_88]) ).
tff(c_4651,plain,
a24,
inference(splitLeft,[status(thm)],[c_76]) ).
tff(c_4690,plain,
( ~ a25
| a26 ),
inference(demodulation,[status(thm),theory(equality)],[c_4651,c_90]) ).
tff(c_4691,plain,
~ a25,
inference(negUnitSimplification,[status(thm)],[c_4561,c_4690]) ).
tff(c_4565,plain,
a,
inference(negUnitSimplification,[status(thm)],[c_4559,c_2]) ).
tff(c_4558,plain,
b,
inference(splitRight,[status(thm)],[c_4]) ).
tff(c_4698,plain,
a25,
inference(demodulation,[status(thm),theory(equality)],[c_4565,c_4558,c_84]) ).
tff(c_4699,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_4691,c_4698]) ).
tff(c_4700,plain,
cI,
inference(splitRight,[status(thm)],[c_76]) ).
tff(c_4708,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_4563,c_4643,c_4700,c_42]) ).
tff(c_4710,plain,
~ a17,
inference(splitRight,[status(thm)],[c_38]) ).
tff(c_4722,plain,
cI,
inference(negUnitSimplification,[status(thm)],[c_4710,c_40]) ).
tff(c_4713,plain,
a,
inference(negUnitSimplification,[status(thm)],[c_4559,c_2]) ).
tff(c_4715,plain,
a23,
inference(demodulation,[status(thm),theory(equality)],[c_4713,c_70]) ).
tff(c_4777,plain,
a22,
inference(demodulation,[status(thm),theory(equality)],[c_4722,c_4715,c_68]) ).
tff(c_4778,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_4560,c_4777]) ).
tff(c_4780,plain,
a26,
inference(splitRight,[status(thm)],[c_88]) ).
tff(c_4809,plain,
c2,
inference(demodulation,[status(thm),theory(equality)],[c_4780,c_102]) ).
tff(c_4856,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_3397,c_4794,c_4809,c_120]) ).
tff(c_4858,plain,
a22,
inference(splitRight,[status(thm)],[c_64]) ).
tff(c_4887,plain,
c2,
inference(demodulation,[status(thm),theory(equality)],[c_4858,c_100]) ).
tff(c_4927,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_3397,c_4861,c_4887,c_120]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : HWV003-3 : TPTP v8.1.2. Released v2.7.0.
% 0.00/0.14 % 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
% 0.14/0.35 % Computer : n012.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Thu Aug 3 23:31:52 EDT 2023
% 0.14/0.36 % CPUTime :
% 6.49/2.60 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.70/2.64
% 6.70/2.64 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 6.77/2.71
% 6.77/2.71 Inference rules
% 6.77/2.71 ----------------------
% 6.77/2.71 #Ref : 0
% 6.77/2.71 #Sup : 0
% 6.77/2.71 #Fact : 0
% 6.77/2.71 #Define : 0
% 6.77/2.71 #Split : 337
% 6.77/2.71 #Chain : 0
% 6.77/2.71 #Close : 0
% 6.77/2.71
% 6.77/2.71 Ordering : KBO
% 6.77/2.71
% 6.77/2.71 Simplification rules
% 6.77/2.71 ----------------------
% 6.77/2.71 #Subsume : 931
% 6.77/2.71 #Demod : 3468
% 6.77/2.71 #Tautology : 1186
% 6.77/2.71 #SimpNegUnit : 819
% 6.77/2.71 #BackRed : 0
% 6.77/2.71
% 6.77/2.71 #Partial instantiations: 0
% 6.77/2.71 #Strategies tried : 1
% 6.77/2.71
% 6.77/2.71 Timing (in seconds)
% 6.77/2.71 ----------------------
% 6.77/2.71 Preprocessing : 0.49
% 6.77/2.71 Parsing : 0.26
% 6.77/2.71 CNF conversion : 0.02
% 6.77/2.71 Main loop : 0.93
% 6.77/2.71 Inferencing : 0.20
% 6.77/2.71 Reduction : 0.33
% 6.77/2.71 Demodulation : 0.19
% 6.77/2.71 BG Simplification : 0.04
% 6.77/2.71 Subsumption : 0.16
% 6.77/2.71 Abstraction : 0.04
% 6.77/2.71 MUC search : 0.00
% 6.77/2.71 Cooper : 0.00
% 6.77/2.71 Total : 1.55
% 6.77/2.71 Index Insertion : 0.00
% 6.77/2.71 Index Deletion : 0.00
% 6.77/2.71 Index Matching : 0.00
% 6.77/2.71 BG Taut test : 0.00
%------------------------------------------------------------------------------