TSTP Solution File: ALG184+1 by Enigma---0.5.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : ALG184+1 : TPTP v8.1.0. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n026.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 : 600s
% DateTime : Thu Jul 14 15:32:44 EDT 2022
% Result : Theorem 8.53s 2.53s
% Output : CNFRefutation 8.53s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 16
% Syntax : Number of clauses : 46 ( 33 unt; 13 nHn; 46 RR)
% Number of literals : 87 ( 80 equ; 10 neg)
% Maximal clause size : 6 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 2 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 7 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_130,negated_conjecture,
op1(j(e20),j(e20)) = j(op2(e20,e20)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-q70m7rxi/input.p',i_0_130) ).
cnf(i_0_95,plain,
op2(e20,e20) = e20,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-q70m7rxi/input.p',i_0_95) ).
cnf(i_0_161,plain,
( j(e20) = e10
| j(e20) = e11
| j(e20) = e12
| j(e20) = e13
| j(e20) = e14
| ~ epred1_0 ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-q70m7rxi/input.p',i_0_161) ).
cnf(i_0_156,negated_conjecture,
epred1_0,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-q70m7rxi/input.p',i_0_156) ).
cnf(i_0_46,plain,
op1(e14,e14) = e10,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-q70m7rxi/input.p',i_0_46) ).
cnf(i_0_7,plain,
e14 != e10,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-q70m7rxi/input.p',i_0_7) ).
cnf(i_0_124,negated_conjecture,
op1(j(e21),j(e21)) = j(op2(e21,e21)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-q70m7rxi/input.p',i_0_124) ).
cnf(i_0_89,plain,
op2(e21,e21) = e21,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-q70m7rxi/input.p',i_0_89) ).
cnf(i_0_160,plain,
( j(e21) = e10
| j(e21) = e11
| j(e21) = e12
| j(e21) = e13
| j(e21) = e14
| ~ epred1_0 ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-q70m7rxi/input.p',i_0_160) ).
cnf(i_0_52,plain,
op1(e13,e13) = e12,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-q70m7rxi/input.p',i_0_52) ).
cnf(i_0_3,plain,
e13 != e12,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-q70m7rxi/input.p',i_0_3) ).
cnf(i_0_58,plain,
op1(e12,e12) = e13,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-q70m7rxi/input.p',i_0_58) ).
cnf(i_0_105,negated_conjecture,
h(j(e20)) = e20,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-q70m7rxi/input.p',i_0_105) ).
cnf(i_0_70,plain,
op1(e10,e10) = e14,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-q70m7rxi/input.p',i_0_70) ).
cnf(i_0_104,negated_conjecture,
h(j(e21)) = e21,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-q70m7rxi/input.p',i_0_104) ).
cnf(i_0_20,plain,
e21 != e20,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-q70m7rxi/input.p',i_0_20) ).
cnf(c_0_178,negated_conjecture,
op1(j(e20),j(e20)) = j(op2(e20,e20)),
i_0_130 ).
cnf(c_0_179,plain,
op2(e20,e20) = e20,
i_0_95 ).
cnf(c_0_180,plain,
( j(e20) = e10
| j(e20) = e11
| j(e20) = e12
| j(e20) = e13
| j(e20) = e14
| ~ epred1_0 ),
i_0_161 ).
cnf(c_0_181,negated_conjecture,
epred1_0,
i_0_156 ).
cnf(c_0_182,negated_conjecture,
op1(j(e20),j(e20)) = j(e20),
inference(rw,[status(thm)],[c_0_178,c_0_179]) ).
cnf(c_0_183,plain,
( j(e20) = e14
| j(e20) = e13
| j(e20) = e12
| j(e20) = e11
| j(e20) = e10 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_180,c_0_181])]) ).
cnf(c_0_184,plain,
op1(e14,e14) = e10,
i_0_46 ).
cnf(c_0_185,plain,
e14 != e10,
i_0_7 ).
cnf(c_0_186,negated_conjecture,
op1(j(e21),j(e21)) = j(op2(e21,e21)),
i_0_124 ).
cnf(c_0_187,plain,
op2(e21,e21) = e21,
i_0_89 ).
cnf(c_0_188,plain,
( j(e21) = e10
| j(e21) = e11
| j(e21) = e12
| j(e21) = e13
| j(e21) = e14
| ~ epred1_0 ),
i_0_160 ).
cnf(c_0_189,plain,
( j(e20) = e10
| j(e20) = e11
| j(e20) = e12
| j(e20) = e13 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_182,c_0_183]),c_0_184]),c_0_185]) ).
cnf(c_0_190,plain,
op1(e13,e13) = e12,
i_0_52 ).
cnf(c_0_191,plain,
e13 != e12,
i_0_3 ).
cnf(c_0_192,negated_conjecture,
op1(j(e21),j(e21)) = j(e21),
inference(rw,[status(thm)],[c_0_186,c_0_187]) ).
cnf(c_0_193,plain,
( j(e21) = e14
| j(e21) = e13
| j(e21) = e12
| j(e21) = e11
| j(e21) = e10 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_188,c_0_181])]) ).
cnf(c_0_194,negated_conjecture,
( j(e20) = e12
| j(e20) = e11
| j(e20) = e10 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_182,c_0_189]),c_0_190]),c_0_191]) ).
cnf(c_0_195,plain,
op1(e12,e12) = e13,
i_0_58 ).
cnf(c_0_196,plain,
( j(e21) = e10
| j(e21) = e11
| j(e21) = e12
| j(e21) = e13 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_192,c_0_193]),c_0_184]),c_0_185]) ).
cnf(c_0_197,negated_conjecture,
h(j(e20)) = e20,
i_0_105 ).
cnf(c_0_198,negated_conjecture,
( j(e20) = e10
| j(e20) = e11 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_182,c_0_194]),c_0_195]),c_0_191]) ).
cnf(c_0_199,negated_conjecture,
( j(e21) = e12
| j(e21) = e11
| j(e21) = e10 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_192,c_0_196]),c_0_190]),c_0_191]) ).
cnf(c_0_200,negated_conjecture,
( j(e20) = e10
| h(e11) = e20 ),
inference(spm,[status(thm)],[c_0_197,c_0_198]) ).
cnf(c_0_201,plain,
op1(e10,e10) = e14,
i_0_70 ).
cnf(c_0_202,negated_conjecture,
h(j(e21)) = e21,
i_0_104 ).
cnf(c_0_203,negated_conjecture,
( j(e21) = e10
| j(e21) = e11 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_192,c_0_199]),c_0_195]),c_0_191]) ).
cnf(c_0_204,negated_conjecture,
h(e11) = e20,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_182,c_0_200]),c_0_201]),c_0_185]) ).
cnf(c_0_205,plain,
e21 != e20,
i_0_20 ).
cnf(c_0_206,negated_conjecture,
j(e21) = e10,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_202,c_0_203]),c_0_204]),c_0_205]) ).
cnf(c_0_207,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_192,c_0_206]),c_0_206]),c_0_201]),c_0_206]),c_0_185]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : ALG184+1 : TPTP v8.1.0. Released v2.7.0.
% 0.08/0.13 % Command : enigmatic-eprover.py %s %d 1
% 0.13/0.34 % Computer : n026.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Wed Jun 8 11:13:03 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.46 # ENIGMATIC: Selected complete mode:
% 8.53/2.53 # ENIGMATIC: Solved by autoschedule:
% 8.53/2.53 # No SInE strategy applied
% 8.53/2.53 # Trying AutoSched0 for 150 seconds
% 8.53/2.53 # AutoSched0-Mode selected heuristic G_E___205_C45_F1_AE_CS_SP_PI_S0Y
% 8.53/2.53 # and selection function SelectMaxLComplexAvoidPosPred.
% 8.53/2.53 #
% 8.53/2.53 # Preprocessing time : 0.025 s
% 8.53/2.53
% 8.53/2.53 # Proof found!
% 8.53/2.53 # SZS status Theorem
% 8.53/2.53 # SZS output start CNFRefutation
% See solution above
% 8.53/2.53 # Training examples: 0 positive, 0 negative
% 8.53/2.53
% 8.53/2.53 # -------------------------------------------------
% 8.53/2.53 # User time : 0.034 s
% 8.53/2.53 # System time : 0.003 s
% 8.53/2.53 # Total time : 0.037 s
% 8.53/2.53 # Maximum resident set size: 7124 pages
% 8.53/2.53
%------------------------------------------------------------------------------