TSTP Solution File: GEO512+1 by Enigma---0.5.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : GEO512+1 : TPTP v8.1.0. Released v7.0.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% 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 : 600s
% DateTime : Sat Jul 16 03:46:04 EDT 2022
% Result : Theorem 8.31s 2.51s
% Output : CNFRefutation 8.31s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 16
% Syntax : Number of clauses : 59 ( 21 unt; 25 nHn; 59 RR)
% Number of literals : 166 ( 45 equ; 72 neg)
% Maximal clause size : 7 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-5 aty)
% Number of functors : 9 ( 9 usr; 7 con; 0-5 aty)
% Number of variables : 133 ( 17 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_14,plain,
( X1 = X2
| X3 = X4
| s_col(X3,X4,X5)
| ~ s_col(X1,X2,X5)
| ~ s_col(X3,X4,X2)
| ~ s_col(X3,X4,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ckusqsbk/lgb.p',i_0_14) ).
cnf(i_0_19,negated_conjecture,
s_col(esk1_0,esk2_0,esk4_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ckusqsbk/lgb.p',i_0_19) ).
cnf(i_0_17,negated_conjecture,
esk2_0 != esk1_0,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ckusqsbk/lgb.p',i_0_17) ).
cnf(i_0_20,negated_conjecture,
s_col(esk1_0,esk2_0,esk3_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ckusqsbk/lgb.p',i_0_20) ).
cnf(i_0_18,negated_conjecture,
esk4_0 != esk3_0,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ckusqsbk/lgb.p',i_0_18) ).
cnf(i_0_227,plain,
( s_col(X1,X2,X3)
| ~ perpAt(X1,X2,X3,X4,X5) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ckusqsbk/lgb.p',i_0_227) ).
cnf(i_0_16,negated_conjecture,
perpAt(esk3_0,esk4_0,esk5_0,esk6_0,esk7_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ckusqsbk/lgb.p',i_0_16) ).
cnf(i_0_96,plain,
( X1 = X2
| X3 = X4
| s_col(X3,X4,X5)
| ~ s_col(X1,X2,X5)
| ~ s_col(X1,X2,X4)
| ~ s_col(X1,X2,X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ckusqsbk/lgb.p',i_0_96) ).
cnf(i_0_222,plain,
( X1 = X2
| X3 = X4
| perpAt(X3,X4,X5,X1,X2)
| s_col(X3,X4,f811(X3,X4,X1,X2,X5))
| ~ s_col(X1,X2,X5)
| ~ s_col(X3,X4,X5) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ckusqsbk/lgb.p',i_0_222) ).
cnf(i_0_226,plain,
( s_col(X1,X2,X3)
| ~ perpAt(X4,X5,X3,X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ckusqsbk/lgb.p',i_0_226) ).
cnf(i_0_15,negated_conjecture,
~ perpAt(esk1_0,esk2_0,esk5_0,esk6_0,esk7_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ckusqsbk/lgb.p',i_0_15) ).
cnf(i_0_223,plain,
( s_r(X1,X2,X3)
| ~ s_col(X4,X5,X3)
| ~ s_col(X6,X7,X1)
| ~ perpAt(X6,X7,X2,X4,X5) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ckusqsbk/lgb.p',i_0_223) ).
cnf(i_0_221,plain,
( X1 = X2
| X3 = X4
| perpAt(X3,X4,X5,X1,X2)
| s_col(X1,X2,g811(X3,X4,X1,X2,X5))
| ~ s_col(X1,X2,X5)
| ~ s_col(X3,X4,X5) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ckusqsbk/lgb.p',i_0_221) ).
cnf(i_0_220,plain,
( X1 = X2
| X3 = X4
| perpAt(X3,X4,X5,X1,X2)
| ~ s_col(X1,X2,X5)
| ~ s_col(X3,X4,X5)
| ~ s_r(f811(X3,X4,X1,X2,X5),X5,g811(X3,X4,X1,X2,X5)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ckusqsbk/lgb.p',i_0_220) ).
cnf(i_0_139,plain,
( perpAt(X1,X2,X3,X4,X5)
| ~ perpAt(X4,X5,X3,X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ckusqsbk/lgb.p',i_0_139) ).
cnf(i_0_225,plain,
( X1 != X2
| ~ perpAt(X1,X2,X3,X4,X5) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ckusqsbk/lgb.p',i_0_225) ).
cnf(c_0_244,plain,
( X1 = X2
| X3 = X4
| s_col(X3,X4,X5)
| ~ s_col(X1,X2,X5)
| ~ s_col(X3,X4,X2)
| ~ s_col(X3,X4,X1) ),
i_0_14 ).
cnf(c_0_245,negated_conjecture,
s_col(esk1_0,esk2_0,esk4_0),
i_0_19 ).
cnf(c_0_246,negated_conjecture,
esk2_0 != esk1_0,
i_0_17 ).
cnf(c_0_247,negated_conjecture,
( X1 = esk4_0
| s_col(esk1_0,esk2_0,X2)
| ~ s_col(esk1_0,esk2_0,X1)
| ~ s_col(X1,esk4_0,X2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_244,c_0_245]),c_0_246]) ).
cnf(c_0_248,negated_conjecture,
s_col(esk1_0,esk2_0,esk3_0),
i_0_20 ).
cnf(c_0_249,negated_conjecture,
esk4_0 != esk3_0,
i_0_18 ).
cnf(c_0_250,plain,
( s_col(X1,X2,X3)
| ~ perpAt(X1,X2,X3,X4,X5) ),
i_0_227 ).
cnf(c_0_251,negated_conjecture,
perpAt(esk3_0,esk4_0,esk5_0,esk6_0,esk7_0),
i_0_16 ).
cnf(c_0_252,negated_conjecture,
( s_col(esk1_0,esk2_0,X1)
| ~ s_col(esk3_0,esk4_0,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_247,c_0_248]),c_0_249]) ).
cnf(c_0_253,negated_conjecture,
s_col(esk3_0,esk4_0,esk5_0),
inference(spm,[status(thm)],[c_0_250,c_0_251]) ).
cnf(c_0_254,plain,
( X1 = X2
| X3 = X4
| s_col(X3,X4,X5)
| ~ s_col(X1,X2,X5)
| ~ s_col(X1,X2,X4)
| ~ s_col(X1,X2,X3) ),
i_0_96 ).
cnf(c_0_255,plain,
( X1 = X2
| X3 = X4
| perpAt(X3,X4,X5,X1,X2)
| s_col(X3,X4,f811(X3,X4,X1,X2,X5))
| ~ s_col(X1,X2,X5)
| ~ s_col(X3,X4,X5) ),
i_0_222 ).
cnf(c_0_256,negated_conjecture,
s_col(esk1_0,esk2_0,esk5_0),
inference(spm,[status(thm)],[c_0_252,c_0_253]) ).
cnf(c_0_257,plain,
( s_col(X1,X2,X3)
| ~ perpAt(X4,X5,X3,X1,X2) ),
i_0_226 ).
cnf(c_0_258,negated_conjecture,
( X1 = X2
| s_col(X1,X2,esk3_0)
| ~ s_col(esk1_0,esk2_0,X2)
| ~ s_col(esk1_0,esk2_0,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_254,c_0_248]),c_0_246]) ).
cnf(c_0_259,negated_conjecture,
( X1 = X2
| s_col(esk1_0,esk2_0,f811(esk1_0,esk2_0,X1,X2,esk5_0))
| perpAt(esk1_0,esk2_0,esk5_0,X1,X2)
| ~ s_col(X1,X2,esk5_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_255,c_0_256]),c_0_246]) ).
cnf(c_0_260,negated_conjecture,
s_col(esk6_0,esk7_0,esk5_0),
inference(spm,[status(thm)],[c_0_257,c_0_251]) ).
cnf(c_0_261,negated_conjecture,
~ perpAt(esk1_0,esk2_0,esk5_0,esk6_0,esk7_0),
i_0_15 ).
cnf(c_0_262,negated_conjecture,
( X1 = esk4_0
| s_col(X1,esk4_0,esk3_0)
| ~ s_col(esk1_0,esk2_0,X1) ),
inference(spm,[status(thm)],[c_0_258,c_0_245]) ).
cnf(c_0_263,negated_conjecture,
( X1 = X2
| s_col(X1,X2,esk4_0)
| ~ s_col(esk1_0,esk2_0,X2)
| ~ s_col(esk1_0,esk2_0,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_254,c_0_245]),c_0_246]) ).
cnf(c_0_264,negated_conjecture,
( esk7_0 = esk6_0
| s_col(esk1_0,esk2_0,f811(esk1_0,esk2_0,esk6_0,esk7_0,esk5_0)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_259,c_0_260]),c_0_261]) ).
cnf(c_0_265,negated_conjecture,
s_col(esk3_0,esk4_0,esk3_0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_262,c_0_248]),c_0_249]) ).
cnf(c_0_266,negated_conjecture,
( X1 = esk4_0
| s_col(X1,esk4_0,esk4_0)
| ~ s_col(esk1_0,esk2_0,X1) ),
inference(spm,[status(thm)],[c_0_263,c_0_245]) ).
cnf(c_0_267,plain,
( esk7_0 = esk6_0
| X1 = X2
| s_col(X1,X2,f811(esk1_0,esk2_0,esk6_0,esk7_0,esk5_0))
| ~ s_col(esk1_0,esk2_0,X2)
| ~ s_col(esk1_0,esk2_0,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_254,c_0_264]),c_0_246]) ).
cnf(c_0_268,plain,
( s_r(X1,X2,X3)
| ~ s_col(X4,X5,X3)
| ~ s_col(X6,X7,X1)
| ~ perpAt(X6,X7,X2,X4,X5) ),
i_0_223 ).
cnf(c_0_269,plain,
( X1 = esk3_0
| s_col(esk3_0,esk4_0,X2)
| ~ s_col(esk3_0,esk4_0,X1)
| ~ s_col(X1,esk3_0,X2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_244,c_0_265]),c_0_249]) ).
cnf(c_0_270,negated_conjecture,
s_col(esk3_0,esk4_0,esk4_0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_266,c_0_248]),c_0_249]) ).
cnf(c_0_271,negated_conjecture,
( esk7_0 = esk6_0
| X1 = esk3_0
| s_col(X1,esk3_0,f811(esk1_0,esk2_0,esk6_0,esk7_0,esk5_0))
| ~ s_col(esk1_0,esk2_0,X1) ),
inference(spm,[status(thm)],[c_0_267,c_0_248]) ).
cnf(c_0_272,plain,
( X1 = X2
| X3 = X4
| perpAt(X3,X4,X5,X1,X2)
| s_col(X1,X2,g811(X3,X4,X1,X2,X5))
| ~ s_col(X1,X2,X5)
| ~ s_col(X3,X4,X5) ),
i_0_221 ).
cnf(c_0_273,plain,
( X1 = X2
| X3 = X4
| perpAt(X3,X4,X5,X1,X2)
| ~ s_col(X1,X2,X5)
| ~ s_col(X3,X4,X5)
| ~ s_r(f811(X3,X4,X1,X2,X5),X5,g811(X3,X4,X1,X2,X5)) ),
i_0_220 ).
cnf(c_0_274,negated_conjecture,
( s_r(X1,esk5_0,X2)
| ~ s_col(esk3_0,esk4_0,X1)
| ~ s_col(esk6_0,esk7_0,X2) ),
inference(spm,[status(thm)],[c_0_268,c_0_251]) ).
cnf(c_0_275,negated_conjecture,
( s_col(esk3_0,esk4_0,X1)
| ~ s_col(esk4_0,esk3_0,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_269,c_0_270]),c_0_249]) ).
cnf(c_0_276,negated_conjecture,
( esk7_0 = esk6_0
| s_col(esk4_0,esk3_0,f811(esk1_0,esk2_0,esk6_0,esk7_0,esk5_0)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_271,c_0_245]),c_0_249]) ).
cnf(c_0_277,negated_conjecture,
( X1 = X2
| s_col(X1,X2,g811(esk1_0,esk2_0,X1,X2,esk5_0))
| perpAt(esk1_0,esk2_0,esk5_0,X1,X2)
| ~ s_col(X1,X2,esk5_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_272,c_0_256]),c_0_246]) ).
cnf(c_0_278,plain,
( perpAt(X1,X2,X3,X4,X5)
| ~ perpAt(X4,X5,X3,X1,X2) ),
i_0_139 ).
cnf(c_0_279,negated_conjecture,
( X1 = X2
| X3 = X4
| perpAt(X3,X4,esk5_0,X1,X2)
| ~ s_col(esk3_0,esk4_0,f811(X3,X4,X1,X2,esk5_0))
| ~ s_col(esk6_0,esk7_0,g811(X3,X4,X1,X2,esk5_0))
| ~ s_col(X3,X4,esk5_0)
| ~ s_col(X1,X2,esk5_0) ),
inference(spm,[status(thm)],[c_0_273,c_0_274]) ).
cnf(c_0_280,negated_conjecture,
( esk7_0 = esk6_0
| s_col(esk3_0,esk4_0,f811(esk1_0,esk2_0,esk6_0,esk7_0,esk5_0)) ),
inference(spm,[status(thm)],[c_0_275,c_0_276]) ).
cnf(c_0_281,negated_conjecture,
( esk7_0 = esk6_0
| s_col(esk6_0,esk7_0,g811(esk1_0,esk2_0,esk6_0,esk7_0,esk5_0)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_277,c_0_260]),c_0_261]) ).
cnf(c_0_282,plain,
( X1 != X2
| ~ perpAt(X1,X2,X3,X4,X5) ),
i_0_225 ).
cnf(c_0_283,negated_conjecture,
perpAt(esk6_0,esk7_0,esk5_0,esk3_0,esk4_0),
inference(spm,[status(thm)],[c_0_278,c_0_251]) ).
cnf(c_0_284,negated_conjecture,
esk7_0 = esk6_0,
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_279,c_0_280]),c_0_256]),c_0_260])]),c_0_246]),c_0_261]),c_0_281]) ).
cnf(c_0_285,plain,
~ perpAt(X1,X1,X2,X3,X4),
inference(er,[status(thm)],[c_0_282]) ).
cnf(c_0_286,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_283,c_0_284]),c_0_285]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO512+1 : TPTP v8.1.0. Released v7.0.0.
% 0.07/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.33 % Computer : n016.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Sat Jun 18 05:03:53 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.44 # ENIGMATIC: Selected SinE mode:
% 0.18/0.45 # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.45 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 0.18/0.45 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 0.18/0.45 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 8.31/2.51 # ENIGMATIC: Solved by autoschedule-lgb:
% 8.31/2.51 # No SInE strategy applied
% 8.31/2.51 # Trying AutoSched0 for 150 seconds
% 8.31/2.51 # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 8.31/2.51 # and selection function SelectComplexExceptUniqMaxHorn.
% 8.31/2.51 #
% 8.31/2.51 # Preprocessing time : 0.012 s
% 8.31/2.51 # Presaturation interreduction done
% 8.31/2.51
% 8.31/2.51 # Proof found!
% 8.31/2.51 # SZS status Theorem
% 8.31/2.51 # SZS output start CNFRefutation
% See solution above
% 8.31/2.51 # Training examples: 0 positive, 0 negative
% 8.31/2.51
% 8.31/2.51 # -------------------------------------------------
% 8.31/2.51 # User time : 0.064 s
% 8.31/2.51 # System time : 0.006 s
% 8.31/2.51 # Total time : 0.070 s
% 8.31/2.51 # Maximum resident set size: 7124 pages
% 8.31/2.51
%------------------------------------------------------------------------------