TSTP Solution File: SEU420+1 by Enigma---0.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SEU420+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n013.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 08:42:11 EDT 2022
% Result : Theorem 16.90s 3.52s
% Output : CNFRefutation 16.90s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 13
% Syntax : Number of clauses : 45 ( 9 unt; 4 nHn; 39 RR)
% Number of literals : 152 ( 33 equ; 105 neg)
% Maximal clause size : 7 ( 3 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 3 con; 0-4 aty)
% Number of variables : 153 ( 6 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_21,plain,
( r2_hidden(X1,X2)
| X3 != k3_xboole_0(X4,X2)
| ~ r2_hidden(X1,X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-dlngznil/input.p',i_0_21) ).
cnf(i_0_13,plain,
( r2_hidden(k2_tarski(k2_tarski(esk4_4(X1,X2,X3,X4),X4),k1_tarski(esk4_4(X1,X2,X3,X4))),X1)
| X3 != k9_relat_1(X1,X2)
| ~ v1_relat_1(X1)
| ~ r2_hidden(X4,X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-dlngznil/input.p',i_0_13) ).
cnf(i_0_6,plain,
k2_tarski(X1,X2) = k2_tarski(X2,X1),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-dlngznil/input.p',i_0_6) ).
cnf(i_0_11,plain,
( r2_hidden(X1,X2)
| X2 != k9_relat_1(X3,X4)
| ~ v1_relat_1(X3)
| ~ r2_hidden(X5,X4)
| ~ r2_hidden(k2_tarski(k2_tarski(X5,X1),k1_tarski(X5)),X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-dlngznil/input.p',i_0_11) ).
cnf(i_0_22,plain,
( r2_hidden(X1,X2)
| X3 != k3_xboole_0(X2,X4)
| ~ r2_hidden(X1,X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-dlngznil/input.p',i_0_22) ).
cnf(i_0_12,plain,
( r2_hidden(esk4_4(X1,X2,X3,X4),X2)
| X3 != k9_relat_1(X1,X2)
| ~ v1_relat_1(X1)
| ~ r2_hidden(X4,X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-dlngznil/input.p',i_0_12) ).
cnf(i_0_20,plain,
( r2_hidden(X1,X2)
| X2 != k3_xboole_0(X3,X4)
| ~ r2_hidden(X1,X4)
| ~ r2_hidden(X1,X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-dlngznil/input.p',i_0_20) ).
cnf(i_0_14,plain,
( r1_tarski(X1,X2)
| ~ r2_hidden(esk7_2(X1,X2),X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-dlngznil/input.p',i_0_14) ).
cnf(i_0_15,plain,
( r1_tarski(X1,X2)
| r2_hidden(esk7_2(X1,X2),X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-dlngznil/input.p',i_0_15) ).
cnf(i_0_39,plain,
( v1_relat_1(k3_xboole_0(X1,X2))
| ~ v1_relat_1(X2)
| ~ v1_relat_1(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-dlngznil/input.p',i_0_39) ).
cnf(i_0_1,negated_conjecture,
~ r1_tarski(k9_relat_1(k3_xboole_0(esk2_0,esk3_0),k3_pua2mss1(esk1_0)),k3_xboole_0(k9_relat_1(esk2_0,k3_pua2mss1(esk1_0)),k9_relat_1(esk3_0,k3_pua2mss1(esk1_0)))),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-dlngznil/input.p',i_0_1) ).
cnf(i_0_2,negated_conjecture,
v1_relat_1(esk3_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-dlngznil/input.p',i_0_2) ).
cnf(i_0_3,negated_conjecture,
v1_relat_1(esk2_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-dlngznil/input.p',i_0_3) ).
cnf(c_0_53,plain,
( r2_hidden(X1,X2)
| X3 != k3_xboole_0(X4,X2)
| ~ r2_hidden(X1,X3) ),
i_0_21 ).
cnf(c_0_54,plain,
( r2_hidden(k2_tarski(k2_tarski(esk4_4(X1,X2,X3,X4),X4),k1_tarski(esk4_4(X1,X2,X3,X4))),X1)
| X3 != k9_relat_1(X1,X2)
| ~ v1_relat_1(X1)
| ~ r2_hidden(X4,X3) ),
i_0_13 ).
cnf(c_0_55,plain,
k2_tarski(X1,X2) = k2_tarski(X2,X1),
i_0_6 ).
cnf(c_0_56,plain,
( r2_hidden(X1,X2)
| X2 != k9_relat_1(X3,X4)
| ~ v1_relat_1(X3)
| ~ r2_hidden(X5,X4)
| ~ r2_hidden(k2_tarski(k2_tarski(X5,X1),k1_tarski(X5)),X3) ),
i_0_11 ).
cnf(c_0_57,plain,
( r2_hidden(X1,X2)
| ~ r2_hidden(X1,k3_xboole_0(X3,X2)) ),
inference(er,[status(thm)],[c_0_53]) ).
cnf(c_0_58,plain,
( r2_hidden(k2_tarski(k2_tarski(X1,esk4_4(X2,X3,X4,X1)),k1_tarski(esk4_4(X2,X3,X4,X1))),X2)
| X4 != k9_relat_1(X2,X3)
| ~ r2_hidden(X1,X4)
| ~ v1_relat_1(X2) ),
inference(rw,[status(thm)],[c_0_54,c_0_55]) ).
cnf(c_0_59,plain,
( r2_hidden(X1,X2)
| X3 != k3_xboole_0(X2,X4)
| ~ r2_hidden(X1,X3) ),
i_0_22 ).
cnf(c_0_60,plain,
( r2_hidden(X1,X2)
| X2 != k9_relat_1(X3,X4)
| ~ r2_hidden(k2_tarski(k2_tarski(X1,X5),k1_tarski(X5)),X3)
| ~ r2_hidden(X5,X4)
| ~ v1_relat_1(X3) ),
inference(spm,[status(thm)],[c_0_56,c_0_55]) ).
cnf(c_0_61,plain,
( r2_hidden(k2_tarski(k2_tarski(X1,esk4_4(k3_xboole_0(X2,X3),X4,X5,X1)),k1_tarski(esk4_4(k3_xboole_0(X2,X3),X4,X5,X1))),X3)
| X5 != k9_relat_1(k3_xboole_0(X2,X3),X4)
| ~ r2_hidden(X1,X5)
| ~ v1_relat_1(k3_xboole_0(X2,X3)) ),
inference(spm,[status(thm)],[c_0_57,c_0_58]) ).
cnf(c_0_62,plain,
( r2_hidden(X1,X2)
| ~ r2_hidden(X1,k3_xboole_0(X2,X3)) ),
inference(er,[status(thm)],[c_0_59]) ).
cnf(c_0_63,plain,
( r2_hidden(X1,X2)
| X3 != k9_relat_1(k3_xboole_0(X4,X5),X6)
| X2 != k9_relat_1(X5,X7)
| ~ r2_hidden(esk4_4(k3_xboole_0(X4,X5),X6,X3,X1),X7)
| ~ r2_hidden(X1,X3)
| ~ v1_relat_1(k3_xboole_0(X4,X5))
| ~ v1_relat_1(X5) ),
inference(spm,[status(thm)],[c_0_60,c_0_61]) ).
cnf(c_0_64,plain,
( r2_hidden(esk4_4(X1,X2,X3,X4),X2)
| X3 != k9_relat_1(X1,X2)
| ~ v1_relat_1(X1)
| ~ r2_hidden(X4,X3) ),
i_0_12 ).
cnf(c_0_65,plain,
( r2_hidden(k2_tarski(k2_tarski(X1,esk4_4(k3_xboole_0(X2,X3),X4,X5,X1)),k1_tarski(esk4_4(k3_xboole_0(X2,X3),X4,X5,X1))),X2)
| X5 != k9_relat_1(k3_xboole_0(X2,X3),X4)
| ~ r2_hidden(X1,X5)
| ~ v1_relat_1(k3_xboole_0(X2,X3)) ),
inference(spm,[status(thm)],[c_0_62,c_0_58]) ).
cnf(c_0_66,plain,
( r2_hidden(X1,X2)
| X2 != k3_xboole_0(X3,X4)
| ~ r2_hidden(X1,X4)
| ~ r2_hidden(X1,X3) ),
i_0_20 ).
cnf(c_0_67,plain,
( r2_hidden(X1,X2)
| X3 != k9_relat_1(k3_xboole_0(X4,X5),X6)
| X2 != k9_relat_1(X5,X6)
| ~ r2_hidden(X1,X3)
| ~ v1_relat_1(k3_xboole_0(X4,X5))
| ~ v1_relat_1(X5) ),
inference(spm,[status(thm)],[c_0_63,c_0_64]) ).
cnf(c_0_68,plain,
( r2_hidden(X1,X2)
| X3 != k9_relat_1(k3_xboole_0(X4,X5),X6)
| X2 != k9_relat_1(X4,X7)
| ~ r2_hidden(esk4_4(k3_xboole_0(X4,X5),X6,X3,X1),X7)
| ~ r2_hidden(X1,X3)
| ~ v1_relat_1(k3_xboole_0(X4,X5))
| ~ v1_relat_1(X4) ),
inference(spm,[status(thm)],[c_0_60,c_0_65]) ).
cnf(c_0_69,plain,
( r1_tarski(X1,X2)
| ~ r2_hidden(esk7_2(X1,X2),X2) ),
i_0_14 ).
cnf(c_0_70,plain,
( r2_hidden(X1,k3_xboole_0(X2,X3))
| ~ r2_hidden(X1,X3)
| ~ r2_hidden(X1,X2) ),
inference(er,[status(thm)],[c_0_66]) ).
cnf(c_0_71,plain,
( r2_hidden(X1,X2)
| X2 != k9_relat_1(X3,X4)
| ~ r2_hidden(X1,k9_relat_1(k3_xboole_0(X5,X3),X4))
| ~ v1_relat_1(k3_xboole_0(X5,X3))
| ~ v1_relat_1(X3) ),
inference(er,[status(thm)],[c_0_67]) ).
cnf(c_0_72,plain,
( r1_tarski(X1,X2)
| r2_hidden(esk7_2(X1,X2),X1) ),
i_0_15 ).
cnf(c_0_73,plain,
( r2_hidden(X1,X2)
| X3 != k9_relat_1(k3_xboole_0(X4,X5),X6)
| X2 != k9_relat_1(X4,X6)
| ~ r2_hidden(X1,X3)
| ~ v1_relat_1(k3_xboole_0(X4,X5))
| ~ v1_relat_1(X4) ),
inference(spm,[status(thm)],[c_0_68,c_0_64]) ).
cnf(c_0_74,plain,
( r1_tarski(X1,k3_xboole_0(X2,X3))
| ~ r2_hidden(esk7_2(X1,k3_xboole_0(X2,X3)),X3)
| ~ r2_hidden(esk7_2(X1,k3_xboole_0(X2,X3)),X2) ),
inference(spm,[status(thm)],[c_0_69,c_0_70]) ).
cnf(c_0_75,plain,
( r2_hidden(esk7_2(k9_relat_1(k3_xboole_0(X1,X2),X3),X4),X5)
| r1_tarski(k9_relat_1(k3_xboole_0(X1,X2),X3),X4)
| X5 != k9_relat_1(X2,X3)
| ~ v1_relat_1(k3_xboole_0(X1,X2))
| ~ v1_relat_1(X2) ),
inference(spm,[status(thm)],[c_0_71,c_0_72]) ).
cnf(c_0_76,plain,
( r2_hidden(X1,X2)
| X2 != k9_relat_1(X3,X4)
| ~ r2_hidden(X1,k9_relat_1(k3_xboole_0(X3,X5),X4))
| ~ v1_relat_1(k3_xboole_0(X3,X5))
| ~ v1_relat_1(X3) ),
inference(er,[status(thm)],[c_0_73]) ).
cnf(c_0_77,plain,
( r1_tarski(k9_relat_1(k3_xboole_0(X1,X2),X3),k3_xboole_0(X4,X5))
| X5 != k9_relat_1(X2,X3)
| ~ r2_hidden(esk7_2(k9_relat_1(k3_xboole_0(X1,X2),X3),k3_xboole_0(X4,X5)),X4)
| ~ v1_relat_1(k3_xboole_0(X1,X2))
| ~ v1_relat_1(X2) ),
inference(spm,[status(thm)],[c_0_74,c_0_75]) ).
cnf(c_0_78,plain,
( r2_hidden(esk7_2(k9_relat_1(k3_xboole_0(X1,X2),X3),X4),X5)
| r1_tarski(k9_relat_1(k3_xboole_0(X1,X2),X3),X4)
| X5 != k9_relat_1(X1,X3)
| ~ v1_relat_1(k3_xboole_0(X1,X2))
| ~ v1_relat_1(X1) ),
inference(spm,[status(thm)],[c_0_76,c_0_72]) ).
cnf(c_0_79,plain,
( v1_relat_1(k3_xboole_0(X1,X2))
| ~ v1_relat_1(X2)
| ~ v1_relat_1(X1) ),
i_0_39 ).
cnf(c_0_80,negated_conjecture,
~ r1_tarski(k9_relat_1(k3_xboole_0(esk2_0,esk3_0),k3_pua2mss1(esk1_0)),k3_xboole_0(k9_relat_1(esk2_0,k3_pua2mss1(esk1_0)),k9_relat_1(esk3_0,k3_pua2mss1(esk1_0)))),
i_0_1 ).
cnf(c_0_81,plain,
( r1_tarski(k9_relat_1(k3_xboole_0(X1,X2),X3),k3_xboole_0(X4,X5))
| X5 != k9_relat_1(X2,X3)
| X4 != k9_relat_1(X1,X3)
| ~ v1_relat_1(X2)
| ~ v1_relat_1(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_78]),c_0_79]) ).
cnf(c_0_82,negated_conjecture,
v1_relat_1(esk3_0),
i_0_2 ).
cnf(c_0_83,negated_conjecture,
v1_relat_1(esk2_0),
i_0_3 ).
cnf(c_0_84,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_81]),c_0_82]),c_0_83])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU420+1 : TPTP v8.1.0. Released v3.4.0.
% 0.03/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.33 % Computer : n013.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 19 22:04:16 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.44 # ENIGMATIC: Selected complete mode:
% 16.90/3.52 # ENIGMATIC: Solved by Enigma+tptp-cade20-model02-h2e15+lgb-t150-d30-l6400-e0.15+coop-mzr02:
% 16.90/3.52 # ENIGMA: LightGBM model '/export/starexec/sandbox2/solver/bin/data/Enigma/tptp-cade20-model02-h2e15/lgb-t150-d30-l6400-e0.15/model.lgb' loaded. (hash_base: 32768; conj_feats: 39; version: 991; iters: 150)
% 16.90/3.52 # Preprocessing time : 0.910 s
% 16.90/3.52
% 16.90/3.52 # Proof found!
% 16.90/3.52 # SZS status Theorem
% 16.90/3.52 # SZS output start CNFRefutation
% See solution above
% 16.90/3.52 # Training examples: 0 positive, 0 negative
% 16.90/3.52
% 16.90/3.52 # -------------------------------------------------
% 16.90/3.52 # User time : 0.911 s
% 16.90/3.52 # System time : 0.120 s
% 16.90/3.52 # Total time : 1.031 s
% 16.90/3.52 # ...preprocessing : 0.910 s
% 16.90/3.52 # ...main loop : 0.121 s
% 16.90/3.52 # Maximum resident set size: 168088 pages
% 16.90/3.52
%------------------------------------------------------------------------------