TSTP Solution File: GEO523+1 by Enigma---0.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : GEO523+1 : TPTP v8.1.0. Released v7.0.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n029.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 : Sat Jul 16 03:46:06 EDT 2022
% Result : Theorem 10.27s 2.73s
% Output : CNFRefutation 10.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 16
% Syntax : Number of clauses : 53 ( 21 unt; 13 nHn; 40 RR)
% Number of literals : 99 ( 70 equ; 37 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-4 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-3 aty)
% Number of variables : 102 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_139,plain,
( X1 = X2
| s(X1,X3) != s(X2,X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-7v2yxc2a/lgb.p',i_0_139) ).
cnf(i_0_153,plain,
s(X1,s(X1,X2)) = X2,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-7v2yxc2a/lgb.p',i_0_153) ).
cnf(i_0_152,plain,
( X1 = s(X2,X3)
| ~ s_m(X3,X2,X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-7v2yxc2a/lgb.p',i_0_152) ).
cnf(i_0_187,plain,
s_m(X1,midpoint(X1,X2),X2),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-7v2yxc2a/lgb.p',i_0_187) ).
cnf(i_0_36,plain,
( X1 = X2
| X3 = reflect(X1,X2,X4)
| X4 != X3
| ~ s_col(X1,X2,midpoint(X4,X3)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-7v2yxc2a/lgb.p',i_0_36) ).
cnf(i_0_148,plain,
( X1 = X2
| ~ s_m(X1,X2,X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-7v2yxc2a/lgb.p',i_0_148) ).
cnf(i_0_140,plain,
( X1 = X2
| s(X1,s(X2,X3)) != s(X2,s(X1,X3)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-7v2yxc2a/lgb.p',i_0_140) ).
cnf(i_0_132,plain,
( s(X1,X2) = X2
| X1 != X2 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-7v2yxc2a/lgb.p',i_0_132) ).
cnf(i_0_35,plain,
( X1 = X2
| s_col(X1,X2,midpoint(X3,reflect(X1,X2,X3))) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-7v2yxc2a/lgb.p',i_0_35) ).
cnf(i_0_39,negated_conjecture,
reflect(esk1_0,esk2_0,esk3_0) = esk4_0,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-7v2yxc2a/lgb.p',i_0_39) ).
cnf(i_0_40,negated_conjecture,
esk2_0 != esk1_0,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-7v2yxc2a/lgb.p',i_0_40) ).
cnf(i_0_34,plain,
( X1 = X2
| reflect(X1,X2,X3) = X3
| perp(X1,X2,X3,reflect(X1,X2,X3)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-7v2yxc2a/lgb.p',i_0_34) ).
cnf(i_0_37,plain,
( X1 = X2
| X3 = reflect(X1,X2,X4)
| ~ perp(X1,X2,X4,X3)
| ~ s_col(X1,X2,midpoint(X4,X3)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-7v2yxc2a/lgb.p',i_0_37) ).
cnf(i_0_17,plain,
( perp(X1,X2,X3,X4)
| ~ perp(X1,X2,X4,X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-7v2yxc2a/lgb.p',i_0_17) ).
cnf(i_0_38,negated_conjecture,
reflect(esk1_0,esk2_0,esk4_0) != esk3_0,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-7v2yxc2a/lgb.p',i_0_38) ).
cnf(i_0_131,plain,
( X1 = X2
| s(X1,X2) != X2 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-7v2yxc2a/lgb.p',i_0_131) ).
cnf(c_0_204,plain,
( X1 = X2
| s(X1,X3) != s(X2,X3) ),
i_0_139 ).
cnf(c_0_205,plain,
s(X1,s(X1,X2)) = X2,
i_0_153 ).
cnf(c_0_206,plain,
( X1 = s(X2,X3)
| ~ s_m(X3,X2,X1) ),
i_0_152 ).
cnf(c_0_207,plain,
s_m(X1,midpoint(X1,X2),X2),
i_0_187 ).
cnf(c_0_208,plain,
( X1 = X2
| X3 = reflect(X1,X2,X4)
| X4 != X3
| ~ s_col(X1,X2,midpoint(X4,X3)) ),
i_0_36 ).
cnf(c_0_209,plain,
( X1 = X2
| ~ s_m(X1,X2,X1) ),
i_0_148 ).
cnf(c_0_210,plain,
( X1 = X2
| s(X1,s(X2,X3)) != X3 ),
inference(spm,[status(thm)],[c_0_204,c_0_205]) ).
cnf(c_0_211,plain,
s(midpoint(X1,X2),X1) = X2,
inference(spm,[status(thm)],[c_0_206,c_0_207]) ).
cnf(c_0_212,plain,
( X1 = X2
| s(X1,s(X2,X3)) != s(X2,s(X1,X3)) ),
i_0_140 ).
cnf(c_0_213,plain,
( s(X1,X2) = X2
| X1 != X2 ),
i_0_132 ).
cnf(c_0_214,plain,
( reflect(X1,X2,X3) = X3
| X1 = X2
| ~ s_col(X1,X2,midpoint(X3,X3)) ),
inference(er,[status(thm)],[c_0_208]) ).
cnf(c_0_215,plain,
midpoint(X1,X1) = X1,
inference(spm,[status(thm)],[c_0_209,c_0_207]) ).
cnf(c_0_216,plain,
( X1 = X2
| s_col(X1,X2,midpoint(X3,reflect(X1,X2,X3))) ),
i_0_35 ).
cnf(c_0_217,negated_conjecture,
reflect(esk1_0,esk2_0,esk3_0) = esk4_0,
i_0_39 ).
cnf(c_0_218,negated_conjecture,
esk2_0 != esk1_0,
i_0_40 ).
cnf(c_0_219,plain,
midpoint(s(X1,X2),X2) = X1,
inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_210,c_0_211])]) ).
cnf(c_0_220,plain,
( midpoint(X1,X2) = X3
| s(midpoint(X1,X2),s(X3,X1)) != s(X3,X2) ),
inference(spm,[status(thm)],[c_0_212,c_0_211]) ).
cnf(c_0_221,plain,
s(X1,X1) = X1,
inference(er,[status(thm)],[c_0_213]) ).
cnf(c_0_222,plain,
( reflect(X1,X2,X3) = X3
| X1 = X2
| ~ s_col(X1,X2,X3) ),
inference(rw,[status(thm)],[c_0_214,c_0_215]) ).
cnf(c_0_223,negated_conjecture,
s_col(esk1_0,esk2_0,midpoint(esk3_0,esk4_0)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_216,c_0_217]),c_0_218]) ).
cnf(c_0_224,plain,
midpoint(X1,X2) = midpoint(X2,X1),
inference(spm,[status(thm)],[c_0_219,c_0_211]) ).
cnf(c_0_225,plain,
( midpoint(X1,X2) = X1
| s(X1,X2) != X2 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_220,c_0_221]),c_0_211]) ).
cnf(c_0_226,plain,
( X1 = X2
| reflect(X1,X2,X3) = X3
| perp(X1,X2,X3,reflect(X1,X2,X3)) ),
i_0_34 ).
cnf(c_0_227,plain,
( X1 = X2
| X3 = reflect(X1,X2,X4)
| ~ perp(X1,X2,X4,X3)
| ~ s_col(X1,X2,midpoint(X4,X3)) ),
i_0_37 ).
cnf(c_0_228,negated_conjecture,
reflect(esk1_0,esk2_0,midpoint(esk3_0,esk4_0)) = midpoint(esk3_0,esk4_0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_222,c_0_223]),c_0_218]) ).
cnf(c_0_229,plain,
( midpoint(X1,X2) = X2
| s(X2,X1) != X1 ),
inference(spm,[status(thm)],[c_0_224,c_0_225]) ).
cnf(c_0_230,plain,
( perp(X1,X2,X3,X4)
| ~ perp(X1,X2,X4,X3) ),
i_0_17 ).
cnf(c_0_231,negated_conjecture,
( esk4_0 = esk3_0
| perp(esk1_0,esk2_0,esk3_0,esk4_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_226,c_0_217]),c_0_218]) ).
cnf(c_0_232,plain,
( X1 = reflect(X2,X3,X4)
| X2 = X3
| ~ perp(X2,X3,X4,X1)
| ~ s_col(X2,X3,midpoint(X1,X4)) ),
inference(spm,[status(thm)],[c_0_227,c_0_224]) ).
cnf(c_0_233,negated_conjecture,
reflect(esk1_0,esk2_0,esk4_0) != esk3_0,
i_0_38 ).
cnf(c_0_234,negated_conjecture,
( reflect(esk1_0,esk2_0,esk4_0) = esk4_0
| s(esk4_0,esk3_0) != esk3_0 ),
inference(spm,[status(thm)],[c_0_228,c_0_229]) ).
cnf(c_0_235,plain,
( X1 = X2
| s(X1,X2) != X2 ),
i_0_131 ).
cnf(c_0_236,plain,
( esk4_0 = esk3_0
| perp(esk1_0,esk2_0,esk4_0,esk3_0) ),
inference(spm,[status(thm)],[c_0_230,c_0_231]) ).
cnf(c_0_237,negated_conjecture,
~ perp(esk1_0,esk2_0,esk4_0,esk3_0),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_232,c_0_223]),c_0_233]),c_0_218]) ).
cnf(c_0_238,negated_conjecture,
s(esk4_0,esk3_0) != esk3_0,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_233,c_0_234]),c_0_235]) ).
cnf(c_0_239,plain,
esk4_0 = esk3_0,
inference(sr,[status(thm)],[c_0_236,c_0_237]) ).
cnf(c_0_240,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_238,c_0_239]),c_0_221])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : GEO523+1 : TPTP v8.1.0. Released v7.0.0.
% 0.08/0.14 % Command : enigmatic-eprover.py %s %d 1
% 0.14/0.34 % Computer : n029.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Fri Jun 17 18:27:45 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.20/0.46 # ENIGMATIC: Selected SinE mode:
% 0.20/0.47 # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.47 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 0.20/0.47 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 0.20/0.47 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 10.27/2.73 # ENIGMATIC: Solved by autoschedule-lgb:
% 10.27/2.73 # No SInE strategy applied
% 10.27/2.73 # Trying AutoSched0 for 150 seconds
% 10.27/2.73 # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 10.27/2.73 # and selection function SelectComplexExceptUniqMaxHorn.
% 10.27/2.73 #
% 10.27/2.73 # Preprocessing time : 0.027 s
% 10.27/2.73 # Presaturation interreduction done
% 10.27/2.73
% 10.27/2.73 # Proof found!
% 10.27/2.73 # SZS status Theorem
% 10.27/2.73 # SZS output start CNFRefutation
% See solution above
% 10.27/2.73 # Training examples: 0 positive, 0 negative
% 10.27/2.73
% 10.27/2.73 # -------------------------------------------------
% 10.27/2.73 # User time : 0.280 s
% 10.27/2.73 # System time : 0.014 s
% 10.27/2.73 # Total time : 0.294 s
% 10.27/2.73 # Maximum resident set size: 7124 pages
% 10.27/2.73
%------------------------------------------------------------------------------