TSTP Solution File: SET763+4 by Enigma---0.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SET763+4 : TPTP v8.1.0. Bugfixed v2.2.1.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n019.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 : Tue Jul 19 00:13:56 EDT 2022
% Result : Theorem 7.68s 2.30s
% Output : CNFRefutation 7.68s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 13
% Syntax : Number of clauses : 41 ( 18 unt; 4 nHn; 35 RR)
% Number of literals : 72 ( 0 equ; 31 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-4 aty)
% Number of variables : 54 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_112,plain,
( member(X1,power_set(X2))
| ~ subset(X1,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-3q0u17kh/lgb.p',i_0_112) ).
cnf(i_0_120,plain,
( subset(X1,X2)
| member(esk37_2(X1,X2),X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-3q0u17kh/lgb.p',i_0_120) ).
cnf(i_0_27,plain,
~ member(X1,empty_set),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-3q0u17kh/lgb.p',i_0_27) ).
cnf(i_0_113,plain,
( subset(X1,X2)
| ~ member(X1,power_set(X2)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-3q0u17kh/lgb.p',i_0_113) ).
cnf(i_0_35,plain,
( equal_set(X1,X2)
| ~ subset(X2,X1)
| ~ subset(X1,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-3q0u17kh/lgb.p',i_0_35) ).
cnf(i_0_129,negated_conjecture,
~ equal_set(esk44_0,empty_set),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-3q0u17kh/lgb.p',i_0_129) ).
cnf(i_0_121,plain,
( member(X1,X2)
| ~ member(X1,X3)
| ~ subset(X3,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-3q0u17kh/lgb.p',i_0_121) ).
cnf(i_0_107,plain,
( apply(X1,X2,esk31_4(X1,X3,X4,X2))
| ~ member(X2,X3)
| ~ maps(X1,X3,X4) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-3q0u17kh/lgb.p',i_0_107) ).
cnf(i_0_132,negated_conjecture,
maps(esk41_0,esk42_0,esk43_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-3q0u17kh/lgb.p',i_0_132) ).
cnf(i_0_131,negated_conjecture,
subset(esk44_0,esk42_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-3q0u17kh/lgb.p',i_0_131) ).
cnf(i_0_41,plain,
( member(X1,image2(X2,X3))
| ~ member(X4,X3)
| ~ apply(X2,X4,X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-3q0u17kh/lgb.p',i_0_41) ).
cnf(i_0_37,plain,
( subset(X1,X2)
| ~ equal_set(X1,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-3q0u17kh/lgb.p',i_0_37) ).
cnf(i_0_130,negated_conjecture,
equal_set(image2(esk41_0,esk44_0),empty_set),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-3q0u17kh/lgb.p',i_0_130) ).
cnf(c_0_146,plain,
( member(X1,power_set(X2))
| ~ subset(X1,X2) ),
i_0_112 ).
cnf(c_0_147,plain,
( subset(X1,X2)
| member(esk37_2(X1,X2),X1) ),
i_0_120 ).
cnf(c_0_148,plain,
~ member(X1,empty_set),
i_0_27 ).
cnf(c_0_149,plain,
( member(esk37_2(X1,X2),X1)
| member(X1,power_set(X2)) ),
inference(spm,[status(thm)],[c_0_146,c_0_147]) ).
cnf(c_0_150,plain,
( subset(X1,X2)
| ~ member(X1,power_set(X2)) ),
i_0_113 ).
cnf(c_0_151,plain,
member(empty_set,power_set(X1)),
inference(spm,[status(thm)],[c_0_148,c_0_149]) ).
cnf(c_0_152,plain,
( equal_set(X1,X2)
| ~ subset(X2,X1)
| ~ subset(X1,X2) ),
i_0_35 ).
cnf(c_0_153,plain,
subset(empty_set,X1),
inference(spm,[status(thm)],[c_0_150,c_0_151]) ).
cnf(c_0_154,plain,
( equal_set(X1,empty_set)
| ~ subset(X1,empty_set) ),
inference(spm,[status(thm)],[c_0_152,c_0_153]) ).
cnf(c_0_155,negated_conjecture,
~ equal_set(esk44_0,empty_set),
i_0_129 ).
cnf(c_0_156,plain,
( member(esk37_2(X1,empty_set),X1)
| equal_set(X1,empty_set) ),
inference(spm,[status(thm)],[c_0_154,c_0_147]) ).
cnf(c_0_157,plain,
( member(X1,X2)
| ~ member(X1,X3)
| ~ subset(X3,X2) ),
i_0_121 ).
cnf(c_0_158,negated_conjecture,
member(esk37_2(esk44_0,empty_set),esk44_0),
inference(spm,[status(thm)],[c_0_155,c_0_156]) ).
cnf(c_0_159,plain,
( apply(X1,X2,esk31_4(X1,X3,X4,X2))
| ~ member(X2,X3)
| ~ maps(X1,X3,X4) ),
i_0_107 ).
cnf(c_0_160,negated_conjecture,
maps(esk41_0,esk42_0,esk43_0),
i_0_132 ).
cnf(c_0_161,plain,
( member(esk37_2(esk44_0,empty_set),X1)
| ~ subset(esk44_0,X1) ),
inference(spm,[status(thm)],[c_0_157,c_0_158]) ).
cnf(c_0_162,negated_conjecture,
subset(esk44_0,esk42_0),
i_0_131 ).
cnf(c_0_163,negated_conjecture,
( apply(esk41_0,X1,esk31_4(esk41_0,esk42_0,esk43_0,X1))
| ~ member(X1,esk42_0) ),
inference(spm,[status(thm)],[c_0_159,c_0_160]) ).
cnf(c_0_164,negated_conjecture,
member(esk37_2(esk44_0,empty_set),esk42_0),
inference(spm,[status(thm)],[c_0_161,c_0_162]) ).
cnf(c_0_165,plain,
( member(X1,image2(X2,X3))
| ~ member(X4,X3)
| ~ apply(X2,X4,X1) ),
i_0_41 ).
cnf(c_0_166,negated_conjecture,
apply(esk41_0,esk37_2(esk44_0,empty_set),esk31_4(esk41_0,esk42_0,esk43_0,esk37_2(esk44_0,empty_set))),
inference(spm,[status(thm)],[c_0_163,c_0_164]) ).
cnf(c_0_167,plain,
( member(esk31_4(esk41_0,esk42_0,esk43_0,esk37_2(esk44_0,empty_set)),image2(esk41_0,X1))
| ~ member(esk37_2(esk44_0,empty_set),X1) ),
inference(spm,[status(thm)],[c_0_165,c_0_166]) ).
cnf(c_0_168,negated_conjecture,
member(esk31_4(esk41_0,esk42_0,esk43_0,esk37_2(esk44_0,empty_set)),image2(esk41_0,esk44_0)),
inference(spm,[status(thm)],[c_0_167,c_0_158]) ).
cnf(c_0_169,plain,
( subset(X1,X2)
| ~ equal_set(X1,X2) ),
i_0_37 ).
cnf(c_0_170,negated_conjecture,
equal_set(image2(esk41_0,esk44_0),empty_set),
i_0_130 ).
cnf(c_0_171,plain,
( member(esk31_4(esk41_0,esk42_0,esk43_0,esk37_2(esk44_0,empty_set)),X1)
| ~ subset(image2(esk41_0,esk44_0),X1) ),
inference(spm,[status(thm)],[c_0_157,c_0_168]) ).
cnf(c_0_172,plain,
subset(image2(esk41_0,esk44_0),empty_set),
inference(spm,[status(thm)],[c_0_169,c_0_170]) ).
cnf(c_0_173,plain,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_171,c_0_172]),c_0_148]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET763+4 : TPTP v8.1.0. Bugfixed v2.2.1.
% 0.07/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.33 % Computer : n019.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 : Sun Jul 10 03:43:25 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.44 # ENIGMATIC: Selected SinE mode:
% 0.19/0.45 # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.45 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 0.19/0.45 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 0.19/0.45 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 7.68/2.30 # ENIGMATIC: Solved by autoschedule-lgb:
% 7.68/2.30 # No SInE strategy applied
% 7.68/2.30 # Trying AutoSched0 for 150 seconds
% 7.68/2.30 # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_S2mI
% 7.68/2.30 # and selection function SelectCQArNTNpEqFirst.
% 7.68/2.30 #
% 7.68/2.30 # Preprocessing time : 0.024 s
% 7.68/2.30 # Presaturation interreduction done
% 7.68/2.30
% 7.68/2.30 # Proof found!
% 7.68/2.30 # SZS status Theorem
% 7.68/2.30 # SZS output start CNFRefutation
% See solution above
% 7.68/2.30 # Training examples: 0 positive, 0 negative
% 7.68/2.30
% 7.68/2.30 # -------------------------------------------------
% 7.68/2.30 # User time : 0.070 s
% 7.68/2.30 # System time : 0.005 s
% 7.68/2.30 # Total time : 0.075 s
% 7.68/2.30 # Maximum resident set size: 7124 pages
% 7.68/2.30
%------------------------------------------------------------------------------