TSTP Solution File: HWV003-3 by CSE_E---1.5
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : HWV003-3 : TPTP v8.1.2. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% Computer : n016.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 : Thu Aug 31 01:59:56 EDT 2023
% Result : Unsatisfiable 0.16s 0.55s
% Output : CNFRefutation 0.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 54
% Number of leaves : 77
% Syntax : Number of formulae : 222 ( 13 unt; 22 typ; 0 def)
% Number of atoms : 551 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 568 ( 217 ~; 351 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 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 sgn; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
a11: $o ).
tff(decl_23,type,
a: $o ).
tff(decl_24,type,
b: $o ).
tff(decl_25,type,
a12: $o ).
tff(decl_26,type,
a13: $o ).
tff(decl_27,type,
a14: $o ).
tff(decl_28,type,
a15: $o ).
tff(decl_29,type,
cI: $o ).
tff(decl_30,type,
a16: $o ).
tff(decl_31,type,
a17: $o ).
tff(decl_32,type,
s1: $o ).
tff(decl_33,type,
c1: $o ).
tff(decl_34,type,
a21: $o ).
tff(decl_35,type,
a22: $o ).
tff(decl_36,type,
a23: $o ).
tff(decl_37,type,
a24: $o ).
tff(decl_38,type,
a25: $o ).
tff(decl_39,type,
a26: $o ).
tff(decl_40,type,
s2: $o ).
tff(decl_41,type,
c2: $o ).
tff(decl_42,type,
conjline18: $o ).
tff(decl_43,type,
conjline19: $o ).
cnf(clause_19D,negated_conjecture,
( ~ conjline19
| ~ c1
| ~ c2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_19D) ).
cnf(clause_17B,negated_conjecture,
( c2
| ~ a26 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_17B) ).
cnf(clause_15C,negated_conjecture,
( a26
| ~ a24
| ~ a25 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_15C) ).
cnf(clause_17A,negated_conjecture,
( c2
| ~ a22 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_17A) ).
cnf(clause_11C,negated_conjecture,
( a22
| ~ cI
| ~ a23 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_11C) ).
cnf(clause_12A,negated_conjecture,
( a23
| ~ a ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_12A) ).
cnf(clause_14C,negated_conjecture,
( a25
| ~ a
| ~ b ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_14C) ).
cnf(clause_20,negated_conjecture,
( conjline18
| conjline19 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_20) ).
cnf(clause_18C,negated_conjecture,
( s1
| s2
| ~ conjline18 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_18C) ).
cnf(clause_13A,negated_conjecture,
( a24
| cI ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_13A) ).
cnf(clause_9B,negated_conjecture,
( c1
| a11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_9B) ).
cnf(clause_1A,negated_conjecture,
( a11
| a ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_1A) ).
cnf(clause_1B,negated_conjecture,
( a11
| b ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_1B) ).
cnf(clause_16C,negated_conjecture,
( cI
| a21
| ~ s2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_16C) ).
cnf(clause_10D,negated_conjecture,
( ~ a21
| ~ a
| ~ b ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_10D) ).
cnf(clause_8C,negated_conjecture,
( ~ s1
| ~ a16
| ~ a17 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_8C) ).
cnf(clause_7B,negated_conjecture,
( a17
| cI ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_7B) ).
cnf(clause_19C,negated_conjecture,
( c1
| c2
| ~ conjline19 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_19C) ).
cnf(clause_6A,negated_conjecture,
( a16
| a14 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_6A) ).
cnf(clause_17C,negated_conjecture,
( a22
| a26
| ~ c2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_17C) ).
cnf(clause_16B,negated_conjecture,
( s2
| a21
| ~ cI ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_16B) ).
cnf(clause_15B,negated_conjecture,
( a25
| ~ a26 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_15B) ).
cnf(clause_18D,negated_conjecture,
( ~ conjline18
| ~ s1
| ~ s2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_18D) ).
cnf(clause_11A,negated_conjecture,
( cI
| ~ a22 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_11A) ).
cnf(clause_14A,negated_conjecture,
( a
| ~ a25 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_14A) ).
cnf(clause_8B,negated_conjecture,
( s1
| a17 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_8B) ).
cnf(clause_7C,negated_conjecture,
( ~ a17
| ~ a15
| ~ cI ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_7C) ).
cnf(clause_5A,negated_conjecture,
( a15
| a14 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_5A) ).
cnf(clause_10C,negated_conjecture,
( a
| b
| ~ a21 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_10C) ).
cnf(clause_9C,negated_conjecture,
( ~ c1
| ~ a15
| ~ a11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_9C) ).
cnf(clause_4C,negated_conjecture,
( ~ a14
| ~ a12
| ~ a13 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_4C) ).
cnf(clause_2B,negated_conjecture,
( a12
| a11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_2B) ).
cnf(clause_3B,negated_conjecture,
( a13
| a11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_3B) ).
cnf(clause_10B,negated_conjecture,
( a21
| b
| ~ a ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_10B) ).
cnf(clause_12C,negated_conjecture,
( a
| b
| ~ a23 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_12C) ).
cnf(clause_11B,negated_conjecture,
( a23
| ~ a22 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_11B) ).
cnf(clause_2A,negated_conjecture,
( a12
| a ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_2A) ).
cnf(clause_3A,negated_conjecture,
( a13
| b ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_3A) ).
cnf(clause_10A,negated_conjecture,
( a21
| a
| ~ b ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_10A) ).
cnf(clause_16A,negated_conjecture,
( s2
| cI
| ~ a21 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_16A) ).
cnf(clause_12B,negated_conjecture,
( a23
| ~ b ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_12B) ).
cnf(clause_8A,negated_conjecture,
( s1
| a16 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_8A) ).
cnf(clause_5C,negated_conjecture,
( ~ a15
| ~ a14
| ~ cI ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_5C) ).
cnf(clause_9A,negated_conjecture,
( c1
| a15 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_9A) ).
cnf(clause_6C,negated_conjecture,
( ~ a16
| ~ a14
| ~ a15 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_6C) ).
cnf(clause_4B,negated_conjecture,
( a14
| a13 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_4B) ).
cnf(clause_16D,negated_conjecture,
( ~ s2
| ~ cI
| ~ a21 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_16D) ).
cnf(clause_5B,negated_conjecture,
( a15
| cI ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_5B) ).
cnf(clause_6B,negated_conjecture,
( a16
| a15 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_6B) ).
cnf(clause_7A,negated_conjecture,
( a17
| a15 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_7A) ).
cnf(clause_3C,negated_conjecture,
( ~ a13
| ~ b
| ~ a11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_3C) ).
cnf(clause_1C,negated_conjecture,
( ~ a11
| ~ a
| ~ b ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_1C) ).
cnf(clause_2C,negated_conjecture,
( ~ a12
| ~ a
| ~ a11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_2C) ).
cnf(clause_14B,negated_conjecture,
( b
| ~ a25 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_14B) ).
cnf(clause_4A,negated_conjecture,
( a14
| a12 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_4A) ).
cnf(c_0_55,negated_conjecture,
( ~ conjline19
| ~ c1
| ~ c2 ),
clause_19D ).
cnf(c_0_56,negated_conjecture,
( c2
| ~ a26 ),
clause_17B ).
cnf(c_0_57,negated_conjecture,
( ~ conjline19
| ~ a26
| ~ c1 ),
inference(spm,[status(thm)],[c_0_55,c_0_56]) ).
cnf(c_0_58,negated_conjecture,
( a26
| ~ a24
| ~ a25 ),
clause_15C ).
cnf(c_0_59,negated_conjecture,
( c2
| ~ a22 ),
clause_17A ).
cnf(c_0_60,negated_conjecture,
( a22
| ~ cI
| ~ a23 ),
clause_11C ).
cnf(c_0_61,negated_conjecture,
( a23
| ~ a ),
clause_12A ).
cnf(c_0_62,negated_conjecture,
( ~ conjline19
| ~ a25
| ~ a24
| ~ c1 ),
inference(spm,[status(thm)],[c_0_57,c_0_58]) ).
cnf(c_0_63,negated_conjecture,
( a25
| ~ a
| ~ b ),
clause_14C ).
cnf(c_0_64,negated_conjecture,
( ~ conjline19
| ~ a22
| ~ c1 ),
inference(spm,[status(thm)],[c_0_55,c_0_59]) ).
cnf(c_0_65,negated_conjecture,
( a22
| ~ cI
| ~ a ),
inference(spm,[status(thm)],[c_0_60,c_0_61]) ).
cnf(c_0_66,negated_conjecture,
( ~ conjline19
| ~ a24
| ~ c1
| ~ b
| ~ a ),
inference(spm,[status(thm)],[c_0_62,c_0_63]) ).
cnf(c_0_67,negated_conjecture,
( conjline18
| conjline19 ),
clause_20 ).
cnf(c_0_68,negated_conjecture,
( ~ conjline19
| ~ c1
| ~ cI
| ~ a ),
inference(spm,[status(thm)],[c_0_64,c_0_65]) ).
cnf(c_0_69,negated_conjecture,
( s1
| s2
| ~ conjline18 ),
clause_18C ).
cnf(c_0_70,negated_conjecture,
( conjline18
| ~ a24
| ~ c1
| ~ b
| ~ a ),
inference(spm,[status(thm)],[c_0_66,c_0_67]) ).
cnf(c_0_71,negated_conjecture,
( conjline18
| ~ c1
| ~ cI
| ~ a ),
inference(spm,[status(thm)],[c_0_68,c_0_67]) ).
cnf(c_0_72,negated_conjecture,
( s2
| s1
| ~ a24
| ~ c1
| ~ b
| ~ a ),
inference(spm,[status(thm)],[c_0_69,c_0_70]) ).
cnf(c_0_73,negated_conjecture,
( a24
| cI ),
clause_13A ).
cnf(c_0_74,negated_conjecture,
( s2
| s1
| ~ c1
| ~ cI
| ~ a ),
inference(spm,[status(thm)],[c_0_69,c_0_71]) ).
cnf(c_0_75,negated_conjecture,
( s2
| s1
| ~ c1
| ~ b
| ~ a ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_73]),c_0_74]) ).
cnf(c_0_76,negated_conjecture,
( c1
| a11 ),
clause_9B ).
cnf(c_0_77,negated_conjecture,
( a11
| a ),
clause_1A ).
cnf(c_0_78,negated_conjecture,
( a11
| b ),
clause_1B ).
cnf(c_0_79,negated_conjecture,
( cI
| a21
| ~ s2 ),
clause_16C ).
cnf(c_0_80,negated_conjecture,
( s2
| s1
| a11 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_76]),c_0_77]),c_0_78]) ).
cnf(c_0_81,negated_conjecture,
( ~ a21
| ~ a
| ~ b ),
clause_10D ).
cnf(c_0_82,negated_conjecture,
( a21
| s1
| cI
| a11 ),
inference(spm,[status(thm)],[c_0_79,c_0_80]) ).
cnf(c_0_83,negated_conjecture,
( ~ s1
| ~ a16
| ~ a17 ),
clause_8C ).
cnf(c_0_84,negated_conjecture,
( s1
| cI
| a11 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_82]),c_0_77]),c_0_78]) ).
cnf(c_0_85,negated_conjecture,
( a17
| cI ),
clause_7B ).
cnf(c_0_86,negated_conjecture,
( c1
| c2
| ~ conjline19 ),
clause_19C ).
cnf(c_0_87,negated_conjecture,
( cI
| a11
| ~ a16 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_84]),c_0_85]) ).
cnf(c_0_88,negated_conjecture,
( a16
| a14 ),
clause_6A ).
cnf(c_0_89,negated_conjecture,
( a22
| a26
| ~ c2 ),
clause_17C ).
cnf(c_0_90,negated_conjecture,
( conjline18
| c2
| c1 ),
inference(spm,[status(thm)],[c_0_86,c_0_67]) ).
cnf(c_0_91,negated_conjecture,
( s2
| a21
| ~ cI ),
clause_16B ).
cnf(c_0_92,negated_conjecture,
( cI
| a14
| a11 ),
inference(spm,[status(thm)],[c_0_87,c_0_88]) ).
cnf(c_0_93,negated_conjecture,
( a25
| ~ a26 ),
clause_15B ).
cnf(c_0_94,negated_conjecture,
( conjline18
| a26
| a22
| c1 ),
inference(spm,[status(thm)],[c_0_89,c_0_90]) ).
cnf(c_0_95,negated_conjecture,
( ~ conjline18
| ~ s1
| ~ s2 ),
clause_18D ).
cnf(c_0_96,negated_conjecture,
( s2
| a21
| a14
| a11 ),
inference(spm,[status(thm)],[c_0_91,c_0_92]) ).
cnf(c_0_97,negated_conjecture,
( cI
| ~ a22 ),
clause_11A ).
cnf(c_0_98,negated_conjecture,
( conjline18
| a25
| a22
| c1 ),
inference(spm,[status(thm)],[c_0_93,c_0_94]) ).
cnf(c_0_99,negated_conjecture,
( a21
| a14
| a11
| ~ conjline18
| ~ s1 ),
inference(spm,[status(thm)],[c_0_95,c_0_96]) ).
cnf(c_0_100,negated_conjecture,
( a
| ~ a25 ),
clause_14A ).
cnf(c_0_101,negated_conjecture,
( conjline18
| a25
| c1
| cI ),
inference(spm,[status(thm)],[c_0_97,c_0_98]) ).
cnf(c_0_102,negated_conjecture,
( a21
| a14
| a11
| ~ s1 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_71]),c_0_77]),c_0_92]),c_0_76]) ).
cnf(c_0_103,negated_conjecture,
( s1
| a17 ),
clause_8B ).
cnf(c_0_104,negated_conjecture,
( conjline18
| c1
| cI
| a ),
inference(spm,[status(thm)],[c_0_100,c_0_101]) ).
cnf(c_0_105,negated_conjecture,
( a21
| a17
| a14
| a11 ),
inference(spm,[status(thm)],[c_0_102,c_0_103]) ).
cnf(c_0_106,negated_conjecture,
( s2
| c1
| s1
| cI
| a ),
inference(spm,[status(thm)],[c_0_69,c_0_104]) ).
cnf(c_0_107,negated_conjecture,
( ~ a17
| ~ a15
| ~ cI ),
clause_7C ).
cnf(c_0_108,negated_conjecture,
( a17
| a14
| a11 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_105]),c_0_77]),c_0_78]) ).
cnf(c_0_109,negated_conjecture,
( a15
| a14 ),
clause_5A ).
cnf(c_0_110,negated_conjecture,
( a
| b
| ~ a21 ),
clause_10C ).
cnf(c_0_111,negated_conjecture,
( a21
| c1
| s1
| cI
| a ),
inference(spm,[status(thm)],[c_0_79,c_0_106]) ).
cnf(c_0_112,negated_conjecture,
( ~ c1
| ~ a15
| ~ a11 ),
clause_9C ).
cnf(c_0_113,negated_conjecture,
( ~ a14
| ~ a12
| ~ a13 ),
clause_4C ).
cnf(c_0_114,negated_conjecture,
( a14
| a11 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_108]),c_0_109]),c_0_92]) ).
cnf(c_0_115,negated_conjecture,
( a12
| a11 ),
clause_2B ).
cnf(c_0_116,negated_conjecture,
( a13
| a11 ),
clause_3B ).
cnf(c_0_117,negated_conjecture,
( c1
| s1
| cI
| b
| a ),
inference(spm,[status(thm)],[c_0_110,c_0_111]) ).
cnf(c_0_118,negated_conjecture,
( a14
| ~ c1
| ~ a11 ),
inference(spm,[status(thm)],[c_0_112,c_0_109]) ).
cnf(c_0_119,negated_conjecture,
a11,
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_113,c_0_114]),c_0_115]),c_0_116]) ).
cnf(c_0_120,negated_conjecture,
( c1
| cI
| b
| a
| ~ a16 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_117]),c_0_85]) ).
cnf(c_0_121,negated_conjecture,
( a14
| ~ c1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_118,c_0_119])]) ).
cnf(c_0_122,negated_conjecture,
( cI
| a14
| b
| a ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_88]),c_0_121]) ).
cnf(c_0_123,negated_conjecture,
( a21
| b
| ~ a ),
clause_10B ).
cnf(c_0_124,negated_conjecture,
( a
| b
| ~ a23 ),
clause_12C ).
cnf(c_0_125,negated_conjecture,
( a23
| ~ a22 ),
clause_11B ).
cnf(c_0_126,negated_conjecture,
( s2
| a21
| a14
| b ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_122]),c_0_123]) ).
cnf(c_0_127,negated_conjecture,
( b
| a
| ~ a22 ),
inference(spm,[status(thm)],[c_0_124,c_0_125]) ).
cnf(c_0_128,negated_conjecture,
( a21
| a14
| b
| ~ conjline18
| ~ s1 ),
inference(spm,[status(thm)],[c_0_95,c_0_126]) ).
cnf(c_0_129,negated_conjecture,
( conjline18
| c1
| b
| a ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_127,c_0_98]),c_0_100]) ).
cnf(c_0_130,negated_conjecture,
( a21
| a14
| b
| ~ s1 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_128,c_0_129]),c_0_123]),c_0_121]) ).
cnf(c_0_131,negated_conjecture,
( a21
| a17
| a14
| b ),
inference(spm,[status(thm)],[c_0_130,c_0_103]) ).
cnf(c_0_132,negated_conjecture,
( a17
| a14
| b
| a ),
inference(spm,[status(thm)],[c_0_110,c_0_131]) ).
cnf(c_0_133,negated_conjecture,
( a14
| b
| a ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_132]),c_0_109]),c_0_122]) ).
cnf(c_0_134,negated_conjecture,
( a12
| a ),
clause_2A ).
cnf(c_0_135,negated_conjecture,
( a13
| b ),
clause_3A ).
cnf(c_0_136,negated_conjecture,
( a21
| a
| ~ b ),
clause_10A ).
cnf(c_0_137,negated_conjecture,
( b
| a ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_113,c_0_133]),c_0_134]),c_0_135]) ).
cnf(c_0_138,negated_conjecture,
( s2
| cI
| ~ a21 ),
clause_16A ).
cnf(c_0_139,negated_conjecture,
( a21
| a ),
inference(spm,[status(thm)],[c_0_136,c_0_137]) ).
cnf(c_0_140,negated_conjecture,
( s2
| cI
| a ),
inference(spm,[status(thm)],[c_0_138,c_0_139]) ).
cnf(c_0_141,negated_conjecture,
( cI
| a
| ~ conjline18
| ~ s1 ),
inference(spm,[status(thm)],[c_0_95,c_0_140]) ).
cnf(c_0_142,negated_conjecture,
( a23
| ~ b ),
clause_12B ).
cnf(c_0_143,negated_conjecture,
( c1
| cI
| a
| ~ s1 ),
inference(spm,[status(thm)],[c_0_141,c_0_104]) ).
cnf(c_0_144,negated_conjecture,
( s1
| a16 ),
clause_8A ).
cnf(c_0_145,negated_conjecture,
( a22
| ~ cI
| ~ b ),
inference(spm,[status(thm)],[c_0_60,c_0_142]) ).
cnf(c_0_146,negated_conjecture,
( ~ a15
| ~ a14
| ~ cI ),
clause_5C ).
cnf(c_0_147,negated_conjecture,
( c1
| a16
| cI
| a ),
inference(spm,[status(thm)],[c_0_143,c_0_144]) ).
cnf(c_0_148,negated_conjecture,
( c1
| a15 ),
clause_9A ).
cnf(c_0_149,negated_conjecture,
( ~ conjline19
| ~ c1
| ~ cI
| ~ b ),
inference(spm,[status(thm)],[c_0_64,c_0_145]) ).
cnf(c_0_150,negated_conjecture,
( ~ a16
| ~ a14
| ~ a15 ),
clause_6C ).
cnf(c_0_151,negated_conjecture,
( c1
| a16
| a ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_146,c_0_147]),c_0_88]),c_0_148]) ).
cnf(c_0_152,negated_conjecture,
( conjline18
| ~ c1
| ~ cI
| ~ b ),
inference(spm,[status(thm)],[c_0_149,c_0_67]) ).
cnf(c_0_153,negated_conjecture,
( c1
| a
| ~ a14 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_150,c_0_151]),c_0_148]) ).
cnf(c_0_154,negated_conjecture,
( a14
| a13 ),
clause_4B ).
cnf(c_0_155,negated_conjecture,
( s2
| s1
| ~ c1
| ~ cI
| ~ b ),
inference(spm,[status(thm)],[c_0_69,c_0_152]) ).
cnf(c_0_156,negated_conjecture,
( c1
| a13
| a ),
inference(spm,[status(thm)],[c_0_153,c_0_154]) ).
cnf(c_0_157,negated_conjecture,
( ~ s2
| ~ cI
| ~ a21 ),
clause_16D ).
cnf(c_0_158,negated_conjecture,
( s2
| s1
| a13
| a ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_155,c_0_156]),c_0_137]),c_0_140]) ).
cnf(c_0_159,negated_conjecture,
( s1
| a13
| a
| ~ cI ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_158]),c_0_139]) ).
cnf(c_0_160,negated_conjecture,
( a15
| cI ),
clause_5B ).
cnf(c_0_161,negated_conjecture,
( s1
| a15
| a13
| a ),
inference(spm,[status(thm)],[c_0_159,c_0_160]) ).
cnf(c_0_162,negated_conjecture,
( a16
| a15 ),
clause_6B ).
cnf(c_0_163,negated_conjecture,
( a17
| a15 ),
clause_7A ).
cnf(c_0_164,negated_conjecture,
( ~ a13
| ~ b
| ~ a11 ),
clause_3C ).
cnf(c_0_165,negated_conjecture,
( ~ c1
| ~ a15 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_112,c_0_119])]) ).
cnf(c_0_166,negated_conjecture,
( a15
| a13
| a ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_161]),c_0_162]),c_0_163]) ).
cnf(c_0_167,negated_conjecture,
( ~ a11
| ~ a
| ~ b ),
clause_1C ).
cnf(c_0_168,negated_conjecture,
( ~ a13
| ~ b ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_164,c_0_119])]) ).
cnf(c_0_169,negated_conjecture,
( a13
| a ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_165,c_0_166]),c_0_156]) ).
cnf(c_0_170,negated_conjecture,
( ~ b
| ~ a ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_167,c_0_119])]) ).
cnf(c_0_171,negated_conjecture,
a,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_168,c_0_169]),c_0_137]) ).
cnf(c_0_172,negated_conjecture,
~ b,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_170,c_0_171])]) ).
cnf(c_0_173,negated_conjecture,
( ~ a12
| ~ a
| ~ a11 ),
clause_2C ).
cnf(c_0_174,negated_conjecture,
a21,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_123,c_0_171])]),c_0_172]) ).
cnf(c_0_175,negated_conjecture,
( b
| ~ a25 ),
clause_14B ).
cnf(c_0_176,negated_conjecture,
( ~ a12
| ~ a ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_173,c_0_119])]) ).
cnf(c_0_177,negated_conjecture,
( s2
| cI ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_138,c_0_174])]) ).
cnf(c_0_178,negated_conjecture,
( conjline18
| c1
| cI
| b ),
inference(spm,[status(thm)],[c_0_175,c_0_101]) ).
cnf(c_0_179,negated_conjecture,
( a14
| a12 ),
clause_4A ).
cnf(c_0_180,negated_conjecture,
~ a12,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_176,c_0_171])]) ).
cnf(c_0_181,negated_conjecture,
( cI
| ~ conjline18
| ~ s1 ),
inference(spm,[status(thm)],[c_0_95,c_0_177]) ).
cnf(c_0_182,negated_conjecture,
( conjline18
| c1
| cI ),
inference(sr,[status(thm)],[c_0_178,c_0_172]) ).
cnf(c_0_183,negated_conjecture,
a14,
inference(sr,[status(thm)],[c_0_179,c_0_180]) ).
cnf(c_0_184,negated_conjecture,
( c1
| cI
| ~ s1 ),
inference(spm,[status(thm)],[c_0_181,c_0_182]) ).
cnf(c_0_185,negated_conjecture,
( ~ cI
| ~ a15 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_146,c_0_183])]) ).
cnf(c_0_186,negated_conjecture,
( c1
| a16
| cI ),
inference(spm,[status(thm)],[c_0_184,c_0_144]) ).
cnf(c_0_187,negated_conjecture,
( ~ a16
| ~ a15 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_150,c_0_183])]) ).
cnf(c_0_188,negated_conjecture,
( c1
| a16 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_186]),c_0_148]) ).
cnf(c_0_189,negated_conjecture,
( s2
| s1
| ~ c1 ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_74,c_0_171])]),c_0_177]) ).
cnf(c_0_190,negated_conjecture,
c1,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_187,c_0_188]),c_0_148]) ).
cnf(c_0_191,negated_conjecture,
( ~ s2
| ~ cI ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_157,c_0_174])]) ).
cnf(c_0_192,negated_conjecture,
( s2
| s1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_189,c_0_190])]) ).
cnf(c_0_193,negated_conjecture,
~ a15,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_165,c_0_190])]) ).
cnf(c_0_194,negated_conjecture,
( s1
| ~ cI ),
inference(spm,[status(thm)],[c_0_191,c_0_192]) ).
cnf(c_0_195,negated_conjecture,
cI,
inference(sr,[status(thm)],[c_0_160,c_0_193]) ).
cnf(c_0_196,negated_conjecture,
a16,
inference(sr,[status(thm)],[c_0_162,c_0_193]) ).
cnf(c_0_197,negated_conjecture,
s1,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_194,c_0_195])]) ).
cnf(c_0_198,negated_conjecture,
a17,
inference(sr,[status(thm)],[c_0_163,c_0_193]) ).
cnf(c_0_199,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_83,c_0_196])]),c_0_197]),c_0_198])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : HWV003-3 : TPTP v8.1.2. Released v2.7.0.
% 0.03/0.12 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.11/0.32 % Computer : n016.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Tue Aug 29 14:21:31 EDT 2023
% 0.11/0.32 % CPUTime :
% 0.16/0.54 start to proof: theBenchmark
% 0.16/0.55 % Version : CSE_E---1.5
% 0.16/0.55 % Problem : theBenchmark.p
% 0.16/0.55 % Proof found
% 0.16/0.55 % SZS status Theorem for theBenchmark.p
% 0.16/0.55 % SZS output start Proof
% See solution above
% 0.49/0.56 % Total time : 0.010000 s
% 0.49/0.56 % SZS output end Proof
% 0.49/0.56 % Total time : 0.012000 s
%------------------------------------------------------------------------------