TSTP Solution File: NUM591+1 by Enigma---0.5.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : NUM591+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n008.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 08:37:41 EDT 2022
% Result : Theorem 14.06s 3.27s
% Output : CNFRefutation 14.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 13
% Syntax : Number of clauses : 35 ( 16 unt; 0 nHn; 35 RR)
% Number of literals : 140 ( 24 equ; 111 neg)
% Maximal clause size : 9 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 6 con; 0-3 aty)
% Number of variables : 48 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_153,hypothesis,
( sdtlpdtrp0(X1,X2) = esk20_3(X3,X4,X1)
| szDzozmdt0(X1) != slbdtsldtrb0(X4,X3)
| ~ isCountable0(X4)
| ~ aFunction0(X1)
| ~ aElementOf0(X3,szNzAzT0)
| ~ aSubsetOf0(X4,szNzAzT0)
| ~ iLess0(X3,xK)
| ~ aSubsetOf0(sdtlcdtrc0(X1,szDzozmdt0(X1)),xT)
| ~ aElementOf0(X2,slbdtsldtrb0(esk21_3(X3,X4,X1),X3)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-77pdvjd3/input.p',i_0_153) ).
cnf(i_0_188,negated_conjecture,
( aElementOf0(esk22_2(X1,X2),slbdtsldtrb0(X2,xk))
| ~ isCountable0(X2)
| ~ aElementOf0(X1,xT)
| ~ aSubsetOf0(X2,xY) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-77pdvjd3/input.p',i_0_188) ).
cnf(i_0_178,hypothesis,
iLess0(xk,xK),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-77pdvjd3/input.p',i_0_178) ).
cnf(i_0_160,hypothesis,
aElementOf0(xk,szNzAzT0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-77pdvjd3/input.p',i_0_160) ).
cnf(i_0_187,negated_conjecture,
( sdtlpdtrp0(xd,esk22_2(X1,X2)) != X1
| ~ isCountable0(X2)
| ~ aElementOf0(X1,xT)
| ~ aSubsetOf0(X2,xY) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-77pdvjd3/input.p',i_0_187) ).
cnf(i_0_182,hypothesis,
aSubsetOf0(sdtlcdtrc0(xd,szDzozmdt0(xd)),xT),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-77pdvjd3/input.p',i_0_182) ).
cnf(i_0_184,hypothesis,
aFunction0(xd),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-77pdvjd3/input.p',i_0_184) ).
cnf(i_0_154,hypothesis,
( isCountable0(esk21_3(X1,X2,X3))
| szDzozmdt0(X3) != slbdtsldtrb0(X2,X1)
| ~ isCountable0(X2)
| ~ aFunction0(X3)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSubsetOf0(X2,szNzAzT0)
| ~ iLess0(X1,xK)
| ~ aSubsetOf0(sdtlcdtrc0(X3,szDzozmdt0(X3)),xT) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-77pdvjd3/input.p',i_0_154) ).
cnf(i_0_155,hypothesis,
( aSubsetOf0(esk21_3(X1,X2,X3),X2)
| szDzozmdt0(X3) != slbdtsldtrb0(X2,X1)
| ~ isCountable0(X2)
| ~ aFunction0(X3)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSubsetOf0(X2,szNzAzT0)
| ~ iLess0(X1,xK)
| ~ aSubsetOf0(sdtlcdtrc0(X3,szDzozmdt0(X3)),xT) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-77pdvjd3/input.p',i_0_155) ).
cnf(i_0_183,hypothesis,
slbdtsldtrb0(xY,xk) = szDzozmdt0(xd),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-77pdvjd3/input.p',i_0_183) ).
cnf(i_0_186,hypothesis,
aSubsetOf0(xY,szNzAzT0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-77pdvjd3/input.p',i_0_186) ).
cnf(i_0_185,hypothesis,
isCountable0(xY),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-77pdvjd3/input.p',i_0_185) ).
cnf(i_0_156,hypothesis,
( aElementOf0(esk20_3(X1,X2,X3),xT)
| szDzozmdt0(X3) != slbdtsldtrb0(X2,X1)
| ~ isCountable0(X2)
| ~ aFunction0(X3)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSubsetOf0(X2,szNzAzT0)
| ~ iLess0(X1,xK)
| ~ aSubsetOf0(sdtlcdtrc0(X3,szDzozmdt0(X3)),xT) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-77pdvjd3/input.p',i_0_156) ).
cnf(c_0_202,hypothesis,
( sdtlpdtrp0(X1,X2) = esk20_3(X3,X4,X1)
| szDzozmdt0(X1) != slbdtsldtrb0(X4,X3)
| ~ isCountable0(X4)
| ~ aFunction0(X1)
| ~ aElementOf0(X3,szNzAzT0)
| ~ aSubsetOf0(X4,szNzAzT0)
| ~ iLess0(X3,xK)
| ~ aSubsetOf0(sdtlcdtrc0(X1,szDzozmdt0(X1)),xT)
| ~ aElementOf0(X2,slbdtsldtrb0(esk21_3(X3,X4,X1),X3)) ),
i_0_153 ).
cnf(c_0_203,negated_conjecture,
( aElementOf0(esk22_2(X1,X2),slbdtsldtrb0(X2,xk))
| ~ isCountable0(X2)
| ~ aElementOf0(X1,xT)
| ~ aSubsetOf0(X2,xY) ),
i_0_188 ).
cnf(c_0_204,hypothesis,
iLess0(xk,xK),
i_0_178 ).
cnf(c_0_205,hypothesis,
aElementOf0(xk,szNzAzT0),
i_0_160 ).
cnf(c_0_206,negated_conjecture,
( sdtlpdtrp0(xd,esk22_2(X1,X2)) != X1
| ~ isCountable0(X2)
| ~ aElementOf0(X1,xT)
| ~ aSubsetOf0(X2,xY) ),
i_0_187 ).
cnf(c_0_207,negated_conjecture,
( sdtlpdtrp0(X1,esk22_2(X2,esk21_3(xk,X3,X1))) = esk20_3(xk,X3,X1)
| szDzozmdt0(X1) != slbdtsldtrb0(X3,xk)
| ~ aSubsetOf0(sdtlcdtrc0(X1,szDzozmdt0(X1)),xT)
| ~ aSubsetOf0(esk21_3(xk,X3,X1),xY)
| ~ aSubsetOf0(X3,szNzAzT0)
| ~ aElementOf0(X2,xT)
| ~ aFunction0(X1)
| ~ isCountable0(esk21_3(xk,X3,X1))
| ~ isCountable0(X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_202,c_0_203]),c_0_204]),c_0_205])]) ).
cnf(c_0_208,hypothesis,
aSubsetOf0(sdtlcdtrc0(xd,szDzozmdt0(xd)),xT),
i_0_182 ).
cnf(c_0_209,hypothesis,
aFunction0(xd),
i_0_184 ).
cnf(c_0_210,hypothesis,
( isCountable0(esk21_3(X1,X2,X3))
| szDzozmdt0(X3) != slbdtsldtrb0(X2,X1)
| ~ isCountable0(X2)
| ~ aFunction0(X3)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSubsetOf0(X2,szNzAzT0)
| ~ iLess0(X1,xK)
| ~ aSubsetOf0(sdtlcdtrc0(X3,szDzozmdt0(X3)),xT) ),
i_0_154 ).
cnf(c_0_211,negated_conjecture,
( slbdtsldtrb0(X1,xk) != szDzozmdt0(xd)
| esk20_3(xk,X1,xd) != X2
| ~ aSubsetOf0(esk21_3(xk,X1,xd),xY)
| ~ aSubsetOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,xT)
| ~ isCountable0(esk21_3(xk,X1,xd))
| ~ isCountable0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_206,c_0_207]),c_0_208]),c_0_209])]) ).
cnf(c_0_212,hypothesis,
( isCountable0(esk21_3(X1,X2,xd))
| slbdtsldtrb0(X2,X1) != szDzozmdt0(xd)
| ~ iLess0(X1,xK)
| ~ aSubsetOf0(X2,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ isCountable0(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_210,c_0_208]),c_0_209])]) ).
cnf(c_0_213,hypothesis,
( aSubsetOf0(esk21_3(X1,X2,X3),X2)
| szDzozmdt0(X3) != slbdtsldtrb0(X2,X1)
| ~ isCountable0(X2)
| ~ aFunction0(X3)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSubsetOf0(X2,szNzAzT0)
| ~ iLess0(X1,xK)
| ~ aSubsetOf0(sdtlcdtrc0(X3,szDzozmdt0(X3)),xT) ),
i_0_155 ).
cnf(c_0_214,hypothesis,
( slbdtsldtrb0(X1,xk) != szDzozmdt0(xd)
| esk20_3(xk,X1,xd) != X2
| ~ aSubsetOf0(esk21_3(xk,X1,xd),xY)
| ~ aSubsetOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,xT)
| ~ isCountable0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_211,c_0_212]),c_0_204]),c_0_205])]) ).
cnf(c_0_215,hypothesis,
( aSubsetOf0(esk21_3(X1,X2,xd),X2)
| slbdtsldtrb0(X2,X1) != szDzozmdt0(xd)
| ~ iLess0(X1,xK)
| ~ aSubsetOf0(X2,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ isCountable0(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_213,c_0_208]),c_0_209])]) ).
cnf(c_0_216,hypothesis,
slbdtsldtrb0(xY,xk) = szDzozmdt0(xd),
i_0_183 ).
cnf(c_0_217,hypothesis,
aSubsetOf0(xY,szNzAzT0),
i_0_186 ).
cnf(c_0_218,hypothesis,
isCountable0(xY),
i_0_185 ).
cnf(c_0_219,hypothesis,
( esk20_3(xk,xY,xd) != X1
| ~ aElementOf0(X1,xT) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_214,c_0_215]),c_0_216]),c_0_217]),c_0_218]),c_0_204]),c_0_205])]) ).
cnf(c_0_220,hypothesis,
( aElementOf0(esk20_3(X1,X2,X3),xT)
| szDzozmdt0(X3) != slbdtsldtrb0(X2,X1)
| ~ isCountable0(X2)
| ~ aFunction0(X3)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSubsetOf0(X2,szNzAzT0)
| ~ iLess0(X1,xK)
| ~ aSubsetOf0(sdtlcdtrc0(X3,szDzozmdt0(X3)),xT) ),
i_0_156 ).
cnf(c_0_221,hypothesis,
~ aElementOf0(esk20_3(xk,xY,xd),xT),
inference(er,[status(thm)],[c_0_219]) ).
cnf(c_0_222,hypothesis,
( aElementOf0(esk20_3(X1,X2,xd),xT)
| slbdtsldtrb0(X2,X1) != szDzozmdt0(xd)
| ~ iLess0(X1,xK)
| ~ aSubsetOf0(X2,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ isCountable0(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_220,c_0_208]),c_0_209])]) ).
cnf(c_0_223,hypothesis,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_221,c_0_222]),c_0_216]),c_0_204]),c_0_217]),c_0_205]),c_0_218])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUM591+1 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.33 % Computer : n008.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 : Thu Jul 7 02:05:25 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.44 # ENIGMATIC: Selected complete mode:
% 14.06/3.27 # ENIGMATIC: Solved by Enigma+tptp-cade20-model02-h2e15+lgb-t150-d30-l6400-e0.15+coop-mzr02:
% 14.06/3.27 # ENIGMA: LightGBM model '/export/starexec/sandbox/solver/bin/data/Enigma/tptp-cade20-model02-h2e15/lgb-t150-d30-l6400-e0.15/model.lgb' loaded. (hash_base: 32768; conj_feats: 65; version: 991; iters: 150)
% 14.06/3.27 # Preprocessing time : 0.877 s
% 14.06/3.27
% 14.06/3.27 # Proof found!
% 14.06/3.27 # SZS status Theorem
% 14.06/3.27 # SZS output start CNFRefutation
% See solution above
% 14.06/3.27 # Training examples: 0 positive, 0 negative
% 14.06/3.27
% 14.06/3.27 # -------------------------------------------------
% 14.06/3.27 # User time : 0.777 s
% 14.06/3.27 # System time : 0.107 s
% 14.06/3.27 # Total time : 0.884 s
% 14.06/3.27 # ...preprocessing : 0.877 s
% 14.06/3.27 # ...main loop : 0.007 s
% 14.06/3.27 # Maximum resident set size: 168408 pages
% 14.06/3.27
%------------------------------------------------------------------------------