TSTP Solution File: NUM494+3 by Enigma---0.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : NUM494+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n006.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 : Mon Jul 18 08:36:37 EDT 2022
% Result : Theorem 7.66s 2.31s
% Output : CNFRefutation 7.66s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 15
% Syntax : Number of clauses : 51 ( 21 unt; 6 nHn; 51 RR)
% Number of literals : 118 ( 41 equ; 64 neg)
% Maximal clause size : 6 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 36 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_26,plain,
( sdtlseqdt0(X1,X2)
| sdtpldt0(X1,X3) != X2
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-chfbrfee/lgb.p',i_0_26) ).
cnf(i_0_5,plain,
( aNaturalNumber0(sdtpldt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-chfbrfee/lgb.p',i_0_5) ).
cnf(i_0_29,plain,
( X1 = sdtmndt0(X2,X3)
| sdtpldt0(X3,X1) != X2
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1)
| ~ sdtlseqdt0(X3,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-chfbrfee/lgb.p',i_0_29) ).
cnf(i_0_221,negated_conjecture,
( sdtpldt0(sdtpldt0(xr,xm),xp) = sdtpldt0(sdtpldt0(xn,xm),xp)
| ~ sdtlseqdt0(sdtpldt0(sdtpldt0(xr,xm),xp),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-chfbrfee/lgb.p',i_0_221) ).
cnf(i_0_7,plain,
( sdtpldt0(X1,X2) = sdtpldt0(X2,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-chfbrfee/lgb.p',i_0_7) ).
cnf(i_0_213,hypothesis,
aNaturalNumber0(xr),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-chfbrfee/lgb.p',i_0_213) ).
cnf(i_0_72,hypothesis,
aNaturalNumber0(xm),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-chfbrfee/lgb.p',i_0_72) ).
cnf(i_0_209,hypothesis,
sdtpldt0(xp,esk10_0) = xn,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-chfbrfee/lgb.p',i_0_209) ).
cnf(i_0_211,hypothesis,
sdtmndt0(xn,xp) = xr,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-chfbrfee/lgb.p',i_0_211) ).
cnf(i_0_71,hypothesis,
aNaturalNumber0(xp),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-chfbrfee/lgb.p',i_0_71) ).
cnf(i_0_210,hypothesis,
aNaturalNumber0(esk10_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-chfbrfee/lgb.p',i_0_210) ).
cnf(i_0_8,plain,
( sdtpldt0(sdtpldt0(X1,X2),X3) = sdtpldt0(X1,sdtpldt0(X2,X3))
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-chfbrfee/lgb.p',i_0_8) ).
cnf(i_0_73,hypothesis,
aNaturalNumber0(xn),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-chfbrfee/lgb.p',i_0_73) ).
cnf(i_0_39,plain,
( X1 = X2
| sdtlseqdt0(sdtpldt0(X3,X1),sdtpldt0(X3,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X3)
| ~ sdtlseqdt0(X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-chfbrfee/lgb.p',i_0_39) ).
cnf(i_0_217,hypothesis,
xr != xn,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-chfbrfee/lgb.p',i_0_217) ).
cnf(c_0_237,plain,
( sdtlseqdt0(X1,X2)
| sdtpldt0(X1,X3) != X2
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X3) ),
i_0_26 ).
cnf(c_0_238,plain,
( aNaturalNumber0(sdtpldt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
i_0_5 ).
cnf(c_0_239,plain,
( X1 = sdtmndt0(X2,X3)
| sdtpldt0(X3,X1) != X2
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1)
| ~ sdtlseqdt0(X3,X2) ),
i_0_29 ).
cnf(c_0_240,plain,
( sdtlseqdt0(X1,sdtpldt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_237]),c_0_238]) ).
cnf(c_0_241,negated_conjecture,
( sdtpldt0(sdtpldt0(xr,xm),xp) = sdtpldt0(sdtpldt0(xn,xm),xp)
| ~ sdtlseqdt0(sdtpldt0(sdtpldt0(xr,xm),xp),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
i_0_221 ).
cnf(c_0_242,plain,
( sdtpldt0(X1,X2) = sdtpldt0(X2,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
i_0_7 ).
cnf(c_0_243,hypothesis,
aNaturalNumber0(xr),
i_0_213 ).
cnf(c_0_244,hypothesis,
aNaturalNumber0(xm),
i_0_72 ).
cnf(c_0_245,plain,
( sdtmndt0(sdtpldt0(X1,X2),X1) = X2
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_239]),c_0_238]),c_0_240]) ).
cnf(c_0_246,hypothesis,
sdtpldt0(xp,esk10_0) = xn,
i_0_209 ).
cnf(c_0_247,hypothesis,
sdtmndt0(xn,xp) = xr,
i_0_211 ).
cnf(c_0_248,hypothesis,
aNaturalNumber0(xp),
i_0_71 ).
cnf(c_0_249,hypothesis,
aNaturalNumber0(esk10_0),
i_0_210 ).
cnf(c_0_250,negated_conjecture,
( sdtpldt0(sdtpldt0(xn,xm),xp) = sdtpldt0(sdtpldt0(xm,xr),xp)
| ~ sdtlseqdt0(sdtpldt0(sdtpldt0(xm,xr),xp),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_241,c_0_242]),c_0_243]),c_0_244])]) ).
cnf(c_0_251,hypothesis,
xr = esk10_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_246]),c_0_247]),c_0_248]),c_0_249])]) ).
cnf(c_0_252,negated_conjecture,
( sdtpldt0(sdtpldt0(xn,xm),xp) = sdtpldt0(sdtpldt0(xm,esk10_0),xp)
| ~ sdtlseqdt0(sdtpldt0(sdtpldt0(xm,esk10_0),xp),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_250,c_0_251]),c_0_251]) ).
cnf(c_0_253,plain,
( sdtpldt0(sdtpldt0(X1,X2),X3) = sdtpldt0(X1,sdtpldt0(X2,X3))
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
i_0_8 ).
cnf(c_0_254,plain,
( sdtpldt0(sdtpldt0(xn,xm),xp) = sdtpldt0(xm,sdtpldt0(esk10_0,xp))
| ~ sdtlseqdt0(sdtpldt0(xm,sdtpldt0(esk10_0,xp)),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_252,c_0_253]),c_0_248]),c_0_249]),c_0_244])]) ).
cnf(c_0_255,plain,
( sdtpldt0(sdtpldt0(xn,xm),xp) = sdtpldt0(xm,xn)
| ~ sdtlseqdt0(sdtpldt0(xm,xn),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_254,c_0_242]),c_0_246]),c_0_246]),c_0_248]),c_0_249])]) ).
cnf(c_0_256,hypothesis,
aNaturalNumber0(xn),
i_0_73 ).
cnf(c_0_257,plain,
( sdtpldt0(sdtpldt0(xm,xn),xp) = sdtpldt0(xm,xn)
| ~ sdtlseqdt0(sdtpldt0(xm,xn),sdtpldt0(sdtpldt0(xm,xn),xp)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_255,c_0_242]),c_0_244]),c_0_256])]) ).
cnf(c_0_258,plain,
( sdtpldt0(xm,sdtpldt0(xn,xp)) = sdtpldt0(xm,xn)
| ~ sdtlseqdt0(sdtpldt0(xm,xn),sdtpldt0(xm,sdtpldt0(xn,xp))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_257,c_0_253]),c_0_248]),c_0_256]),c_0_244])]) ).
cnf(c_0_259,plain,
( X1 = X2
| sdtlseqdt0(sdtpldt0(X3,X1),sdtpldt0(X3,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X3)
| ~ sdtlseqdt0(X1,X2) ),
i_0_39 ).
cnf(c_0_260,plain,
( sdtpldt0(xm,sdtpldt0(xn,xp)) = sdtpldt0(xm,xn)
| sdtpldt0(xn,xp) = xn
| ~ sdtlseqdt0(xn,sdtpldt0(xn,xp))
| ~ aNaturalNumber0(sdtpldt0(xn,xp)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_258,c_0_259]),c_0_244]),c_0_256])]) ).
cnf(c_0_261,plain,
( sdtpldt0(sdtpldt0(xm,xn),xp) = sdtpldt0(xm,xn)
| ~ aNaturalNumber0(sdtpldt0(xm,xn)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_257,c_0_240]),c_0_248])]) ).
cnf(c_0_262,plain,
( sdtpldt0(xm,sdtpldt0(xn,xp)) = sdtpldt0(xm,xn)
| sdtpldt0(xn,xp) = xn
| ~ aNaturalNumber0(sdtpldt0(xn,xp)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_260,c_0_240]),c_0_248]),c_0_256])]) ).
cnf(c_0_263,plain,
( sdtpldt0(xm,sdtpldt0(xn,xp)) = sdtpldt0(xm,xn)
| ~ aNaturalNumber0(sdtpldt0(xm,xn)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_253,c_0_261]),c_0_248]),c_0_256]),c_0_244])]) ).
cnf(c_0_264,plain,
( sdtpldt0(xn,xp) = xn
| aNaturalNumber0(sdtpldt0(xm,xn))
| ~ aNaturalNumber0(sdtpldt0(xn,xp)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_238,c_0_262]),c_0_244])]) ).
cnf(c_0_265,plain,
( sdtmndt0(sdtpldt0(xm,xn),xm) = sdtpldt0(xn,xp)
| ~ aNaturalNumber0(sdtpldt0(xn,xp))
| ~ aNaturalNumber0(sdtpldt0(xm,xn)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_263]),c_0_244])]) ).
cnf(c_0_266,plain,
( sdtpldt0(xn,xp) = xn
| aNaturalNumber0(sdtpldt0(xm,xn)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_264,c_0_238]),c_0_248]),c_0_256])]) ).
cnf(c_0_267,plain,
( sdtpldt0(xn,xp) = xn
| ~ aNaturalNumber0(sdtpldt0(xn,xp)) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_265]),c_0_244]),c_0_256])]),c_0_266]) ).
cnf(c_0_268,plain,
sdtpldt0(xn,xp) = xn,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_267,c_0_238]),c_0_248]),c_0_256])]) ).
cnf(c_0_269,hypothesis,
xr != xn,
i_0_217 ).
cnf(c_0_270,plain,
sdtpldt0(xp,xn) = xn,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_242,c_0_268]),c_0_248]),c_0_256])]) ).
cnf(c_0_271,hypothesis,
esk10_0 != xn,
inference(rw,[status(thm)],[c_0_269,c_0_251]) ).
cnf(c_0_272,plain,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_270]),c_0_247]),c_0_251]),c_0_248]),c_0_256])]),c_0_271]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.11 % Problem : NUM494+3 : TPTP v8.1.0. Released v4.0.0.
% 0.02/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.32 % Computer : n006.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 600
% 0.12/0.32 % DateTime : Thu Jul 7 08:10:53 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.17/0.44 # ENIGMATIC: Selected complete mode:
% 7.66/2.31 # ENIGMATIC: Solved by autoschedule-lgb:
% 7.66/2.31 # No SInE strategy applied
% 7.66/2.31 # Trying AutoSched0 for 150 seconds
% 7.66/2.31 # AutoSched0-Mode selected heuristic G_E___207_C01_F1_SE_CS_SP_PI_S0Y
% 7.66/2.31 # and selection function SelectMaxLComplexAvoidPosPred.
% 7.66/2.31 #
% 7.66/2.31 # Preprocessing time : 0.013 s
% 7.66/2.31
% 7.66/2.31 # Proof found!
% 7.66/2.31 # SZS status Theorem
% 7.66/2.31 # SZS output start CNFRefutation
% See solution above
% 7.66/2.31 # Training examples: 0 positive, 0 negative
% 7.66/2.31
% 7.66/2.31 # -------------------------------------------------
% 7.66/2.31 # User time : 0.031 s
% 7.66/2.31 # System time : 0.004 s
% 7.66/2.31 # Total time : 0.035 s
% 7.66/2.31 # Maximum resident set size: 7128 pages
% 7.66/2.31
%------------------------------------------------------------------------------