TSTP Solution File: SWC056+1 by Enigma---0.5.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SWC056+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n014.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 20:13:19 EDT 2022
% Result : Theorem 14.15s 3.22s
% Output : CNFRefutation 14.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 23
% Syntax : Number of clauses : 75 ( 15 unt; 28 nHn; 75 RR)
% Number of literals : 202 ( 67 equ; 104 neg)
% Maximal clause size : 6 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 6 con; 0-2 aty)
% Number of variables : 61 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_108,plain,
( segmentP(app(app(X1,X2),X3),X4)
| ~ ssList(X3)
| ~ ssList(X1)
| ~ ssList(X4)
| ~ ssList(X2)
| ~ segmentP(X2,X4) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-j76sj4cc/input.p',i_0_108) ).
cnf(i_0_107,plain,
( segmentP(X1,X1)
| ~ ssList(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-j76sj4cc/input.p',i_0_107) ).
cnf(i_0_154,plain,
( app(cons(X1,nil),X2) = cons(X1,X2)
| ~ ssList(X2)
| ~ ssItem(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-j76sj4cc/input.p',i_0_154) ).
cnf(i_0_199,negated_conjecture,
( esk50_0 = nil
| cons(esk52_0,nil) = esk50_0 ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-j76sj4cc/input.p',i_0_199) ).
cnf(i_0_207,negated_conjecture,
ssList(esk49_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-j76sj4cc/input.p',i_0_207) ).
cnf(i_0_204,negated_conjecture,
esk49_0 = esk51_0,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-j76sj4cc/input.p',i_0_204) ).
cnf(i_0_155,plain,
( app(app(X1,X2),X3) = app(X1,app(X2,X3))
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssList(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-j76sj4cc/input.p',i_0_155) ).
cnf(i_0_201,negated_conjecture,
( esk50_0 = nil
| ssItem(esk52_0) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-j76sj4cc/input.p',i_0_201) ).
cnf(i_0_82,plain,
( app(esk29_2(X1,X2),cons(X2,esk30_2(X1,X2))) = X1
| ~ ssList(X1)
| ~ ssItem(X2)
| ~ memberP(X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-j76sj4cc/input.p',i_0_82) ).
cnf(i_0_197,negated_conjecture,
( esk50_0 = nil
| memberP(esk51_0,esk52_0) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-j76sj4cc/input.p',i_0_197) ).
cnf(i_0_206,negated_conjecture,
ssList(esk50_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-j76sj4cc/input.p',i_0_206) ).
cnf(i_0_83,plain,
( ssList(esk30_2(X1,X2))
| ~ ssList(X1)
| ~ ssItem(X2)
| ~ memberP(X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-j76sj4cc/input.p',i_0_83) ).
cnf(i_0_193,negated_conjecture,
( nil = esk49_0
| ~ ssList(X1)
| ~ neq(X1,nil)
| ~ segmentP(esk48_0,X1)
| ~ segmentP(esk49_0,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-j76sj4cc/input.p',i_0_193) ).
cnf(i_0_203,negated_conjecture,
esk50_0 = esk48_0,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-j76sj4cc/input.p',i_0_203) ).
cnf(i_0_84,plain,
( ssList(esk29_2(X1,X2))
| ~ ssList(X1)
| ~ ssItem(X2)
| ~ memberP(X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-j76sj4cc/input.p',i_0_84) ).
cnf(i_0_41,plain,
( X1 = X2
| neq(X1,X2)
| ~ ssList(X2)
| ~ ssList(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-j76sj4cc/input.p',i_0_41) ).
cnf(i_0_44,plain,
ssList(nil),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-j76sj4cc/input.p',i_0_44) ).
cnf(i_0_45,plain,
( cons(X1,X2) != X2
| ~ ssList(X2)
| ~ ssItem(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-j76sj4cc/input.p',i_0_45) ).
cnf(i_0_200,negated_conjecture,
( nil = esk51_0
| cons(esk52_0,nil) = esk50_0 ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-j76sj4cc/input.p',i_0_200) ).
cnf(i_0_202,negated_conjecture,
( nil = esk51_0
| ssItem(esk52_0) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-j76sj4cc/input.p',i_0_202) ).
cnf(i_0_192,negated_conjecture,
( neq(esk49_0,nil)
| nil != esk48_0 ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-j76sj4cc/input.p',i_0_192) ).
cnf(i_0_111,plain,
( nil = X1
| ~ ssList(X1)
| ~ segmentP(nil,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-j76sj4cc/input.p',i_0_111) ).
cnf(i_0_42,plain,
( X1 != X2
| ~ ssList(X2)
| ~ ssList(X1)
| ~ neq(X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-j76sj4cc/input.p',i_0_42) ).
cnf(c_0_231,plain,
( segmentP(app(app(X1,X2),X3),X4)
| ~ ssList(X3)
| ~ ssList(X1)
| ~ ssList(X4)
| ~ ssList(X2)
| ~ segmentP(X2,X4) ),
i_0_108 ).
cnf(c_0_232,plain,
( segmentP(X1,X1)
| ~ ssList(X1) ),
i_0_107 ).
cnf(c_0_233,plain,
( app(cons(X1,nil),X2) = cons(X1,X2)
| ~ ssList(X2)
| ~ ssItem(X1) ),
i_0_154 ).
cnf(c_0_234,negated_conjecture,
( esk50_0 = nil
| cons(esk52_0,nil) = esk50_0 ),
i_0_199 ).
cnf(c_0_235,negated_conjecture,
ssList(esk49_0),
i_0_207 ).
cnf(c_0_236,negated_conjecture,
esk49_0 = esk51_0,
i_0_204 ).
cnf(c_0_237,plain,
( segmentP(app(app(X1,X2),X3),X2)
| ~ ssList(X2)
| ~ ssList(X3)
| ~ ssList(X1) ),
inference(spm,[status(thm)],[c_0_231,c_0_232]) ).
cnf(c_0_238,plain,
( app(app(X1,X2),X3) = app(X1,app(X2,X3))
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssList(X1) ),
i_0_155 ).
cnf(c_0_239,negated_conjecture,
( app(esk50_0,X1) = cons(esk52_0,X1)
| esk50_0 = nil
| ~ ssItem(esk52_0)
| ~ ssList(X1) ),
inference(spm,[status(thm)],[c_0_233,c_0_234]) ).
cnf(c_0_240,negated_conjecture,
( esk50_0 = nil
| ssItem(esk52_0) ),
i_0_201 ).
cnf(c_0_241,plain,
( app(esk29_2(X1,X2),cons(X2,esk30_2(X1,X2))) = X1
| ~ ssList(X1)
| ~ ssItem(X2)
| ~ memberP(X1,X2) ),
i_0_82 ).
cnf(c_0_242,negated_conjecture,
( esk50_0 = nil
| memberP(esk51_0,esk52_0) ),
i_0_197 ).
cnf(c_0_243,negated_conjecture,
ssList(esk51_0),
inference(rw,[status(thm)],[c_0_235,c_0_236]) ).
cnf(c_0_244,plain,
( segmentP(app(X1,app(X2,X3)),X2)
| ~ ssList(X2)
| ~ ssList(X3)
| ~ ssList(X1) ),
inference(spm,[status(thm)],[c_0_237,c_0_238]) ).
cnf(c_0_245,negated_conjecture,
( app(esk50_0,X1) = cons(esk52_0,X1)
| esk50_0 = nil
| ~ ssList(X1) ),
inference(spm,[status(thm)],[c_0_239,c_0_240]) ).
cnf(c_0_246,negated_conjecture,
ssList(esk50_0),
i_0_206 ).
cnf(c_0_247,negated_conjecture,
( app(esk29_2(esk51_0,esk52_0),cons(esk52_0,esk30_2(esk51_0,esk52_0))) = esk51_0
| esk50_0 = nil
| ~ ssItem(esk52_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_241,c_0_242]),c_0_243])]) ).
cnf(c_0_248,plain,
( ssList(esk30_2(X1,X2))
| ~ ssList(X1)
| ~ ssItem(X2)
| ~ memberP(X1,X2) ),
i_0_83 ).
cnf(c_0_249,negated_conjecture,
( nil = esk49_0
| ~ ssList(X1)
| ~ neq(X1,nil)
| ~ segmentP(esk48_0,X1)
| ~ segmentP(esk49_0,X1) ),
i_0_193 ).
cnf(c_0_250,negated_conjecture,
esk50_0 = esk48_0,
i_0_203 ).
cnf(c_0_251,negated_conjecture,
( esk50_0 = nil
| segmentP(app(X1,cons(esk52_0,X2)),esk50_0)
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_244,c_0_245]),c_0_246])]) ).
cnf(c_0_252,negated_conjecture,
( app(esk29_2(esk51_0,esk52_0),cons(esk52_0,esk30_2(esk51_0,esk52_0))) = esk51_0
| esk50_0 = nil ),
inference(spm,[status(thm)],[c_0_247,c_0_240]) ).
cnf(c_0_253,negated_conjecture,
( esk50_0 = nil
| ssList(esk30_2(esk51_0,esk52_0))
| ~ ssItem(esk52_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_248,c_0_242]),c_0_243])]) ).
cnf(c_0_254,plain,
( ssList(esk29_2(X1,X2))
| ~ ssList(X1)
| ~ ssItem(X2)
| ~ memberP(X1,X2) ),
i_0_84 ).
cnf(c_0_255,negated_conjecture,
( esk51_0 = nil
| ~ segmentP(esk50_0,X1)
| ~ segmentP(esk51_0,X1)
| ~ neq(X1,nil)
| ~ ssList(X1) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_249,c_0_236]),c_0_250]),c_0_236]) ).
cnf(c_0_256,plain,
( X1 = X2
| neq(X1,X2)
| ~ ssList(X2)
| ~ ssList(X1) ),
i_0_41 ).
cnf(c_0_257,plain,
ssList(nil),
i_0_44 ).
cnf(c_0_258,negated_conjecture,
( esk50_0 = nil
| segmentP(esk51_0,esk50_0)
| ~ ssList(esk30_2(esk51_0,esk52_0))
| ~ ssList(esk29_2(esk51_0,esk52_0)) ),
inference(spm,[status(thm)],[c_0_251,c_0_252]) ).
cnf(c_0_259,negated_conjecture,
( esk50_0 = nil
| ssList(esk30_2(esk51_0,esk52_0)) ),
inference(spm,[status(thm)],[c_0_253,c_0_240]) ).
cnf(c_0_260,negated_conjecture,
( esk50_0 = nil
| ssList(esk29_2(esk51_0,esk52_0))
| ~ ssItem(esk52_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_254,c_0_242]),c_0_243])]) ).
cnf(c_0_261,plain,
( esk51_0 = nil
| X1 = nil
| ~ segmentP(esk50_0,X1)
| ~ segmentP(esk51_0,X1)
| ~ ssList(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_255,c_0_256]),c_0_257])]) ).
cnf(c_0_262,negated_conjecture,
( esk50_0 = nil
| segmentP(esk51_0,esk50_0)
| ~ ssList(esk29_2(esk51_0,esk52_0)) ),
inference(spm,[status(thm)],[c_0_258,c_0_259]) ).
cnf(c_0_263,negated_conjecture,
( esk50_0 = nil
| ssList(esk29_2(esk51_0,esk52_0)) ),
inference(spm,[status(thm)],[c_0_260,c_0_240]) ).
cnf(c_0_264,plain,
( cons(X1,X2) != X2
| ~ ssList(X2)
| ~ ssItem(X1) ),
i_0_45 ).
cnf(c_0_265,negated_conjecture,
( nil = esk51_0
| cons(esk52_0,nil) = esk50_0 ),
i_0_200 ).
cnf(c_0_266,plain,
( esk51_0 = nil
| esk50_0 = nil
| ~ segmentP(esk51_0,esk50_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_261,c_0_232]),c_0_246])]) ).
cnf(c_0_267,negated_conjecture,
( esk50_0 = nil
| segmentP(esk51_0,esk50_0) ),
inference(spm,[status(thm)],[c_0_262,c_0_263]) ).
cnf(c_0_268,negated_conjecture,
( esk51_0 = nil
| esk50_0 != nil
| ~ ssItem(esk52_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_264,c_0_265]),c_0_257])]) ).
cnf(c_0_269,plain,
( esk51_0 = nil
| esk50_0 = nil ),
inference(spm,[status(thm)],[c_0_266,c_0_267]) ).
cnf(c_0_270,negated_conjecture,
( esk51_0 = nil
| ~ ssItem(esk52_0) ),
inference(spm,[status(thm)],[c_0_268,c_0_269]) ).
cnf(c_0_271,negated_conjecture,
( nil = esk51_0
| ssItem(esk52_0) ),
i_0_202 ).
cnf(c_0_272,negated_conjecture,
( neq(esk49_0,nil)
| nil != esk48_0 ),
i_0_192 ).
cnf(c_0_273,negated_conjecture,
esk51_0 = nil,
inference(spm,[status(thm)],[c_0_270,c_0_271]) ).
cnf(c_0_274,negated_conjecture,
( neq(esk51_0,nil)
| esk50_0 != nil ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_272,c_0_236]),c_0_250]) ).
cnf(c_0_275,plain,
( nil = X1
| ~ ssList(X1)
| ~ segmentP(nil,X1) ),
i_0_111 ).
cnf(c_0_276,negated_conjecture,
( esk50_0 = nil
| segmentP(nil,esk50_0) ),
inference(rw,[status(thm)],[c_0_267,c_0_273]) ).
cnf(c_0_277,plain,
( X1 != X2
| ~ ssList(X2)
| ~ ssList(X1)
| ~ neq(X1,X2) ),
i_0_42 ).
cnf(c_0_278,negated_conjecture,
( neq(nil,nil)
| esk50_0 != nil ),
inference(rw,[status(thm)],[c_0_274,c_0_273]) ).
cnf(c_0_279,plain,
esk50_0 = nil,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_275,c_0_276]),c_0_246])]) ).
cnf(c_0_280,plain,
( ~ neq(X1,X1)
| ~ ssList(X1) ),
inference(er,[status(thm)],[c_0_277]) ).
cnf(c_0_281,negated_conjecture,
neq(nil,nil),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_278,c_0_279])]) ).
cnf(c_0_282,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_280,c_0_281]),c_0_257])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWC056+1 : TPTP v8.1.0. Released v2.4.0.
% 0.11/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.33 % Computer : n014.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 Jun 12 21:14:39 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.44 # ENIGMATIC: Selected SinE mode:
% 0.19/0.45 # Parsing /export/starexec/sandbox/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
% 14.15/3.22 # ENIGMATIC: Solved by Enigma+tptp-cade20-model03-h2e15+lgb-t150-d30-l6400-e0.15+coop-eprover66:
% 14.15/3.22 # ENIGMA: LightGBM model '/export/starexec/sandbox/solver/bin/data/Enigma/tptp-cade20-model03-h2e15/lgb-t150-d30-l6400-e0.15/model.lgb' loaded. (hash_base: 32768; conj_feats: 66; version: 991; iters: 150)
% 14.15/3.22 # Preprocessing time : 0.850 s
% 14.15/3.22 # Presaturation interreduction done
% 14.15/3.22
% 14.15/3.22 # Proof found!
% 14.15/3.22 # SZS status Theorem
% 14.15/3.22 # SZS output start CNFRefutation
% See solution above
% 14.15/3.22 # Training examples: 0 positive, 0 negative
% 14.15/3.22
% 14.15/3.22 # -------------------------------------------------
% 14.15/3.22 # User time : 0.794 s
% 14.15/3.22 # System time : 0.108 s
% 14.15/3.22 # Total time : 0.903 s
% 14.15/3.22 # ...preprocessing : 0.850 s
% 14.15/3.22 # ...main loop : 0.053 s
% 14.15/3.22 # Maximum resident set size: 167724 pages
% 14.15/3.22
%------------------------------------------------------------------------------