TSTP Solution File: ALG225+1 by Enigma---0.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : ALG225+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n018.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 : Thu Jul 14 15:33:09 EDT 2022
% Result : Theorem 16.46s 3.43s
% Output : CNFRefutation 16.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 19
% Syntax : Number of clauses : 57 ( 19 unt; 15 nHn; 53 RR)
% Number of literals : 145 ( 30 equ; 79 neg)
% Maximal clause size : 6 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 3 con; 0-2 aty)
% Number of variables : 89 ( 6 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_57,plain,
( k1_funct_1(X1,X2) = k1_xboole_0
| v1_xboole_0(X3)
| r2_hidden(X4,a_2_0_closure3(X3,X1))
| X2 != X4
| ~ m1_pboole(X1,X3)
| ~ m1_subset_1(X2,X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-2rx9omxc/input.p',i_0_57) ).
cnf(i_0_24,plain,
( m1_pboole(X1,X2)
| k1_relat_1(X1) != X2
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-2rx9omxc/input.p',i_0_24) ).
cnf(i_0_26,plain,
( r1_tarski(X1,X2)
| ~ r2_hidden(esk4_2(X1,X2),X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-2rx9omxc/input.p',i_0_26) ).
cnf(i_0_25,plain,
( k1_relat_1(X1) = X2
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ~ m1_pboole(X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-2rx9omxc/input.p',i_0_25) ).
cnf(i_0_41,plain,
( v1_relat_1(X1)
| ~ m1_pboole(X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-2rx9omxc/input.p',i_0_41) ).
cnf(i_0_40,plain,
( v1_funct_1(X1)
| ~ m1_pboole(X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-2rx9omxc/input.p',i_0_40) ).
cnf(i_0_112,plain,
( k1_funct_4(X1,X2) = X2
| v1_xboole_0(X3)
| ~ m1_pboole(X2,X3)
| ~ m1_pboole(X1,X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-2rx9omxc/input.p',i_0_112) ).
cnf(i_0_113,plain,
( m1_subset_1(X1,X2)
| ~ r2_hidden(X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-2rx9omxc/input.p',i_0_113) ).
cnf(i_0_122,plain,
( ~ v1_xboole_0(X1)
| ~ r2_hidden(X2,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-2rx9omxc/input.p',i_0_122) ).
cnf(i_0_22,plain,
( X1 = k1_closure3(X2,X3)
| v1_xboole_0(X2)
| X1 != a_2_0_closure3(X2,X3)
| ~ m1_pboole(X3,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-2rx9omxc/input.p',i_0_22) ).
cnf(i_0_2,negated_conjecture,
m1_pboole(esk2_0,esk1_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-2rx9omxc/input.p',i_0_2) ).
cnf(i_0_34,plain,
m1_pboole(k2_funcop_1(X1,k1_xboole_0),X1),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-2rx9omxc/input.p',i_0_34) ).
cnf(i_0_27,plain,
( r1_tarski(X1,X2)
| r2_hidden(esk4_2(X1,X2),X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-2rx9omxc/input.p',i_0_27) ).
cnf(i_0_1,negated_conjecture,
k1_funct_4(k2_funcop_1(esk1_0,k1_xboole_0),k7_relat_1(esk2_0,k1_closure3(esk1_0,esk2_0))) != esk2_0,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-2rx9omxc/input.p',i_0_1) ).
cnf(i_0_4,negated_conjecture,
~ v1_xboole_0(esk1_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-2rx9omxc/input.p',i_0_4) ).
cnf(i_0_124,plain,
( k7_relat_1(X1,X2) = X1
| ~ v1_relat_1(X1)
| ~ r1_tarski(k1_relat_1(X1),X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-2rx9omxc/input.p',i_0_124) ).
cnf(i_0_21,plain,
( ~ v2_relat_1(X1)
| ~ m1_pboole(X1,X2)
| ~ r2_hidden(X3,X2)
| ~ v1_xboole_0(k1_funct_1(X1,X3)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-2rx9omxc/input.p',i_0_21) ).
cnf(i_0_50,plain,
v1_xboole_0(k1_xboole_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-2rx9omxc/input.p',i_0_50) ).
cnf(i_0_3,negated_conjecture,
v2_relat_1(esk2_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-2rx9omxc/input.p',i_0_3) ).
cnf(c_0_144,plain,
( k1_funct_1(X1,X2) = k1_xboole_0
| v1_xboole_0(X3)
| r2_hidden(X4,a_2_0_closure3(X3,X1))
| X2 != X4
| ~ m1_pboole(X1,X3)
| ~ m1_subset_1(X2,X3) ),
i_0_57 ).
cnf(c_0_145,plain,
( m1_pboole(X1,X2)
| k1_relat_1(X1) != X2
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1) ),
i_0_24 ).
cnf(c_0_146,plain,
( r1_tarski(X1,X2)
| ~ r2_hidden(esk4_2(X1,X2),X2) ),
i_0_26 ).
cnf(c_0_147,plain,
( k1_funct_1(X1,X2) = k1_xboole_0
| r2_hidden(X2,a_2_0_closure3(X3,X1))
| v1_xboole_0(X3)
| ~ m1_subset_1(X2,X3)
| ~ m1_pboole(X1,X3) ),
inference(er,[status(thm)],[c_0_144]) ).
cnf(c_0_148,plain,
( k1_relat_1(X1) = X2
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ~ m1_pboole(X1,X2) ),
i_0_25 ).
cnf(c_0_149,plain,
( v1_relat_1(X1)
| ~ m1_pboole(X1,X2) ),
i_0_41 ).
cnf(c_0_150,plain,
( v1_funct_1(X1)
| ~ m1_pboole(X1,X2) ),
i_0_40 ).
cnf(c_0_151,plain,
( k1_funct_4(X1,X2) = X2
| v1_xboole_0(X3)
| ~ m1_pboole(X2,X3)
| ~ m1_pboole(X1,X3) ),
i_0_112 ).
cnf(c_0_152,plain,
( m1_pboole(X1,k1_relat_1(X1))
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X1) ),
inference(er,[status(thm)],[c_0_145]) ).
cnf(c_0_153,plain,
( k1_funct_1(X1,esk4_2(X2,a_2_0_closure3(X3,X1))) = k1_xboole_0
| r1_tarski(X2,a_2_0_closure3(X3,X1))
| v1_xboole_0(X3)
| ~ m1_subset_1(esk4_2(X2,a_2_0_closure3(X3,X1)),X3)
| ~ m1_pboole(X1,X3) ),
inference(spm,[status(thm)],[c_0_146,c_0_147]) ).
cnf(c_0_154,plain,
( m1_subset_1(X1,X2)
| ~ r2_hidden(X1,X2) ),
i_0_113 ).
cnf(c_0_155,plain,
( ~ v1_xboole_0(X1)
| ~ r2_hidden(X2,X1) ),
i_0_122 ).
cnf(c_0_156,plain,
( X1 = k1_closure3(X2,X3)
| v1_xboole_0(X2)
| X1 != a_2_0_closure3(X2,X3)
| ~ m1_pboole(X3,X2) ),
i_0_22 ).
cnf(c_0_157,plain,
( k1_relat_1(X1) = X2
| ~ m1_pboole(X1,X2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_148,c_0_149]),c_0_150]) ).
cnf(c_0_158,negated_conjecture,
m1_pboole(esk2_0,esk1_0),
i_0_2 ).
cnf(c_0_159,plain,
( k1_funct_4(X1,X2) = X2
| v1_xboole_0(k1_relat_1(X2))
| ~ m1_pboole(X1,k1_relat_1(X2))
| ~ v1_relat_1(X2)
| ~ v1_funct_1(X2) ),
inference(spm,[status(thm)],[c_0_151,c_0_152]) ).
cnf(c_0_160,plain,
m1_pboole(k2_funcop_1(X1,k1_xboole_0),X1),
i_0_34 ).
cnf(c_0_161,plain,
( k1_funct_1(X1,esk4_2(X2,a_2_0_closure3(X3,X1))) = k1_xboole_0
| r1_tarski(X2,a_2_0_closure3(X3,X1))
| ~ r2_hidden(esk4_2(X2,a_2_0_closure3(X3,X1)),X3)
| ~ m1_pboole(X1,X3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_153,c_0_154]),c_0_155]) ).
cnf(c_0_162,plain,
( r1_tarski(X1,X2)
| r2_hidden(esk4_2(X1,X2),X1) ),
i_0_27 ).
cnf(c_0_163,negated_conjecture,
k1_funct_4(k2_funcop_1(esk1_0,k1_xboole_0),k7_relat_1(esk2_0,k1_closure3(esk1_0,esk2_0))) != esk2_0,
i_0_1 ).
cnf(c_0_164,plain,
( k1_closure3(X1,X2) = a_2_0_closure3(X1,X2)
| v1_xboole_0(X1)
| ~ m1_pboole(X2,X1) ),
inference(er,[status(thm)],[c_0_156]) ).
cnf(c_0_165,negated_conjecture,
~ v1_xboole_0(esk1_0),
i_0_4 ).
cnf(c_0_166,plain,
( k7_relat_1(X1,X2) = X1
| ~ v1_relat_1(X1)
| ~ r1_tarski(k1_relat_1(X1),X2) ),
i_0_124 ).
cnf(c_0_167,negated_conjecture,
k1_relat_1(esk2_0) = esk1_0,
inference(spm,[status(thm)],[c_0_157,c_0_158]) ).
cnf(c_0_168,negated_conjecture,
v1_relat_1(esk2_0),
inference(spm,[status(thm)],[c_0_149,c_0_158]) ).
cnf(c_0_169,plain,
( k1_funct_4(k2_funcop_1(k1_relat_1(X1),k1_xboole_0),X1) = X1
| v1_xboole_0(k1_relat_1(X1))
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X1) ),
inference(spm,[status(thm)],[c_0_159,c_0_160]) ).
cnf(c_0_170,negated_conjecture,
v1_funct_1(esk2_0),
inference(spm,[status(thm)],[c_0_150,c_0_158]) ).
cnf(c_0_171,plain,
( ~ v2_relat_1(X1)
| ~ m1_pboole(X1,X2)
| ~ r2_hidden(X3,X2)
| ~ v1_xboole_0(k1_funct_1(X1,X3)) ),
i_0_21 ).
cnf(c_0_172,plain,
( k1_funct_1(X1,esk4_2(X2,a_2_0_closure3(X2,X1))) = k1_xboole_0
| r1_tarski(X2,a_2_0_closure3(X2,X1))
| ~ m1_pboole(X1,X2) ),
inference(spm,[status(thm)],[c_0_161,c_0_162]) ).
cnf(c_0_173,plain,
v1_xboole_0(k1_xboole_0),
i_0_50 ).
cnf(c_0_174,negated_conjecture,
k1_funct_4(k2_funcop_1(esk1_0,k1_xboole_0),k7_relat_1(esk2_0,a_2_0_closure3(esk1_0,esk2_0))) != esk2_0,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_163,c_0_164]),c_0_158])]),c_0_165]) ).
cnf(c_0_175,plain,
( k7_relat_1(esk2_0,X1) = esk2_0
| ~ r1_tarski(esk1_0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_166,c_0_167]),c_0_168])]) ).
cnf(c_0_176,negated_conjecture,
k1_funct_4(k2_funcop_1(esk1_0,k1_xboole_0),esk2_0) = esk2_0,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_169,c_0_167]),c_0_168]),c_0_170])]),c_0_165]) ).
cnf(c_0_177,plain,
( r1_tarski(X1,a_2_0_closure3(X1,X2))
| ~ r2_hidden(esk4_2(X1,a_2_0_closure3(X1,X2)),X3)
| ~ m1_pboole(X2,X3)
| ~ m1_pboole(X2,X1)
| ~ v2_relat_1(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_171,c_0_172]),c_0_173])]) ).
cnf(c_0_178,plain,
~ r1_tarski(esk1_0,a_2_0_closure3(esk1_0,esk2_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_174,c_0_175]),c_0_176])]) ).
cnf(c_0_179,plain,
( r1_tarski(X1,a_2_0_closure3(X1,X2))
| ~ m1_pboole(X2,X1)
| ~ v2_relat_1(X2) ),
inference(spm,[status(thm)],[c_0_177,c_0_162]) ).
cnf(c_0_180,negated_conjecture,
v2_relat_1(esk2_0),
i_0_3 ).
cnf(c_0_181,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_178,c_0_179]),c_0_158]),c_0_180])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : ALG225+1 : TPTP v8.1.0. Released v3.4.0.
% 0.07/0.13 % Command : enigmatic-eprover.py %s %d 1
% 0.13/0.34 % Computer : n018.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Wed Jun 8 06:38:08 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.46 # ENIGMATIC: Selected complete mode:
% 16.46/3.43 # ENIGMATIC: Solved by Enigma+tptp-cade20-model03-h2e15+lgb-t150-d45-l8000-e0.15+coop-mzr02:
% 16.46/3.43 # ENIGMA: LightGBM model '/export/starexec/sandbox/solver/bin/data/Enigma/tptp-cade20-model03-h2e15/lgb-t150-d45-l8000-e0.15/model.lgb' loaded. (hash_base: 32768; conj_feats: 43; version: 991; iters: 150)
% 16.46/3.43 # Preprocessing time : 1.125 s
% 16.46/3.43
% 16.46/3.43 # Proof found!
% 16.46/3.43 # SZS status Theorem
% 16.46/3.43 # SZS output start CNFRefutation
% See solution above
% 16.46/3.43 # Training examples: 0 positive, 0 negative
% 16.46/3.43
% 16.46/3.43 # -------------------------------------------------
% 16.46/3.43 # User time : 1.003 s
% 16.46/3.43 # System time : 0.145 s
% 16.46/3.43 # Total time : 1.148 s
% 16.46/3.43 # ...preprocessing : 1.125 s
% 16.46/3.43 # ...main loop : 0.022 s
% 16.46/3.43 # Maximum resident set size: 173608 pages
% 16.46/3.43
%------------------------------------------------------------------------------