TSTP Solution File: SEU157+1 by Enigma---0.5.1
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%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SEU157+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n024.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 08:38:58 EDT 2022
% Result : Theorem 7.71s 2.30s
% Output : CNFRefutation 7.71s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 10
% Syntax : Number of clauses : 35 ( 6 unt; 4 nHn; 33 RR)
% Number of literals : 79 ( 29 equ; 44 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 4 con; 0-4 aty)
% Number of variables : 93 ( 9 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_23,plain,
( X1 = X2
| unordered_pair(unordered_pair(X1,X3),singleton(X1)) != unordered_pair(unordered_pair(X2,X4),singleton(X2)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-khlycixu/lgb.p',i_0_23) ).
cnf(i_0_2,plain,
unordered_pair(X1,X2) = unordered_pair(X2,X1),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-khlycixu/lgb.p',i_0_2) ).
cnf(i_0_8,plain,
( unordered_pair(unordered_pair(esk1_4(X1,X2,X3,X4),esk2_4(X1,X2,X3,X4)),singleton(esk1_4(X1,X2,X3,X4))) = X4
| X3 != cartesian_product2(X1,X2)
| ~ in(X4,X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-khlycixu/lgb.p',i_0_8) ).
cnf(i_0_10,plain,
( in(esk1_4(X1,X2,X3,X4),X1)
| X3 != cartesian_product2(X1,X2)
| ~ in(X4,X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-khlycixu/lgb.p',i_0_10) ).
cnf(i_0_22,plain,
( X1 = X2
| unordered_pair(unordered_pair(X3,X1),singleton(X3)) != unordered_pair(unordered_pair(X4,X2),singleton(X4)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-khlycixu/lgb.p',i_0_22) ).
cnf(i_0_9,plain,
( in(esk2_4(X1,X2,X3,X4),X2)
| X3 != cartesian_product2(X1,X2)
| ~ in(X4,X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-khlycixu/lgb.p',i_0_9) ).
cnf(i_0_18,negated_conjecture,
( in(esk6_0,esk8_0)
| in(unordered_pair(unordered_pair(esk6_0,esk7_0),singleton(esk6_0)),cartesian_product2(esk8_0,esk9_0)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-khlycixu/lgb.p',i_0_18) ).
cnf(i_0_19,negated_conjecture,
( ~ in(esk6_0,esk8_0)
| ~ in(esk7_0,esk9_0)
| ~ in(unordered_pair(unordered_pair(esk6_0,esk7_0),singleton(esk6_0)),cartesian_product2(esk8_0,esk9_0)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-khlycixu/lgb.p',i_0_19) ).
cnf(i_0_17,negated_conjecture,
( in(esk7_0,esk9_0)
| in(unordered_pair(unordered_pair(esk6_0,esk7_0),singleton(esk6_0)),cartesian_product2(esk8_0,esk9_0)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-khlycixu/lgb.p',i_0_17) ).
cnf(i_0_7,plain,
( in(X1,X2)
| X2 != cartesian_product2(X3,X4)
| X1 != unordered_pair(unordered_pair(X5,X6),singleton(X5))
| ~ in(X6,X4)
| ~ in(X5,X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-khlycixu/lgb.p',i_0_7) ).
cnf(c_0_34,plain,
( X1 = X2
| unordered_pair(unordered_pair(X1,X3),singleton(X1)) != unordered_pair(unordered_pair(X2,X4),singleton(X2)) ),
i_0_23 ).
cnf(c_0_35,plain,
unordered_pair(X1,X2) = unordered_pair(X2,X1),
i_0_2 ).
cnf(c_0_36,plain,
( unordered_pair(unordered_pair(esk1_4(X1,X2,X3,X4),esk2_4(X1,X2,X3,X4)),singleton(esk1_4(X1,X2,X3,X4))) = X4
| X3 != cartesian_product2(X1,X2)
| ~ in(X4,X3) ),
i_0_8 ).
cnf(c_0_37,plain,
( in(esk1_4(X1,X2,X3,X4),X1)
| X3 != cartesian_product2(X1,X2)
| ~ in(X4,X3) ),
i_0_10 ).
cnf(c_0_38,plain,
( X1 = X2
| unordered_pair(unordered_pair(X1,X3),singleton(X1)) != unordered_pair(singleton(X2),unordered_pair(X2,X4)) ),
inference(spm,[status(thm)],[c_0_34,c_0_35]) ).
cnf(c_0_39,plain,
( unordered_pair(singleton(esk1_4(X1,X2,cartesian_product2(X1,X2),X3)),unordered_pair(esk1_4(X1,X2,cartesian_product2(X1,X2),X3),esk2_4(X1,X2,cartesian_product2(X1,X2),X3))) = X3
| ~ in(X3,cartesian_product2(X1,X2)) ),
inference(er,[status(thm)],[inference(rw,[status(thm)],[c_0_36,c_0_35])]) ).
cnf(c_0_40,plain,
( X1 = X2
| unordered_pair(unordered_pair(X3,X1),singleton(X3)) != unordered_pair(unordered_pair(X4,X2),singleton(X4)) ),
i_0_22 ).
cnf(c_0_41,plain,
( in(esk1_4(X1,X2,cartesian_product2(X1,X2),X3),X1)
| ~ in(X3,cartesian_product2(X1,X2)) ),
inference(er,[status(thm)],[c_0_37]) ).
cnf(c_0_42,plain,
( esk1_4(X1,X2,cartesian_product2(X1,X2),unordered_pair(unordered_pair(X3,X4),singleton(X3))) = X3
| ~ in(unordered_pair(unordered_pair(X3,X4),singleton(X3)),cartesian_product2(X1,X2)) ),
inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_39])]) ).
cnf(c_0_43,plain,
( in(esk2_4(X1,X2,X3,X4),X2)
| X3 != cartesian_product2(X1,X2)
| ~ in(X4,X3) ),
i_0_9 ).
cnf(c_0_44,plain,
( X1 = X2
| unordered_pair(unordered_pair(X3,X1),singleton(X3)) != unordered_pair(singleton(X4),unordered_pair(X4,X2)) ),
inference(spm,[status(thm)],[c_0_40,c_0_35]) ).
cnf(c_0_45,plain,
( in(X1,X2)
| ~ in(unordered_pair(unordered_pair(X1,X3),singleton(X1)),cartesian_product2(X2,X4)) ),
inference(spm,[status(thm)],[c_0_41,c_0_42]) ).
cnf(c_0_46,negated_conjecture,
( in(esk6_0,esk8_0)
| in(unordered_pair(unordered_pair(esk6_0,esk7_0),singleton(esk6_0)),cartesian_product2(esk8_0,esk9_0)) ),
i_0_18 ).
cnf(c_0_47,plain,
( in(esk2_4(X1,X2,cartesian_product2(X1,X2),X3),X2)
| ~ in(X3,cartesian_product2(X1,X2)) ),
inference(er,[status(thm)],[c_0_43]) ).
cnf(c_0_48,plain,
( esk2_4(X1,X2,cartesian_product2(X1,X2),unordered_pair(unordered_pair(X3,X4),singleton(X3))) = X4
| ~ in(unordered_pair(unordered_pair(X3,X4),singleton(X3)),cartesian_product2(X1,X2)) ),
inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_39])]) ).
cnf(c_0_49,negated_conjecture,
( ~ in(esk6_0,esk8_0)
| ~ in(esk7_0,esk9_0)
| ~ in(unordered_pair(unordered_pair(esk6_0,esk7_0),singleton(esk6_0)),cartesian_product2(esk8_0,esk9_0)) ),
i_0_19 ).
cnf(c_0_50,negated_conjecture,
in(esk6_0,esk8_0),
inference(spm,[status(thm)],[c_0_45,c_0_46]) ).
cnf(c_0_51,plain,
( in(X1,X2)
| ~ in(unordered_pair(unordered_pair(X3,X1),singleton(X3)),cartesian_product2(X4,X2)) ),
inference(spm,[status(thm)],[c_0_47,c_0_48]) ).
cnf(c_0_52,negated_conjecture,
( in(esk7_0,esk9_0)
| in(unordered_pair(unordered_pair(esk6_0,esk7_0),singleton(esk6_0)),cartesian_product2(esk8_0,esk9_0)) ),
i_0_17 ).
cnf(c_0_53,negated_conjecture,
( ~ in(unordered_pair(unordered_pair(esk6_0,esk7_0),singleton(esk6_0)),cartesian_product2(esk8_0,esk9_0))
| ~ in(esk7_0,esk9_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_49,c_0_50])]) ).
cnf(c_0_54,negated_conjecture,
in(esk7_0,esk9_0),
inference(spm,[status(thm)],[c_0_51,c_0_52]) ).
cnf(c_0_55,plain,
( in(X1,X2)
| X2 != cartesian_product2(X3,X4)
| X1 != unordered_pair(unordered_pair(X5,X6),singleton(X5))
| ~ in(X6,X4)
| ~ in(X5,X3) ),
i_0_7 ).
cnf(c_0_56,negated_conjecture,
~ in(unordered_pair(unordered_pair(esk6_0,esk7_0),singleton(esk6_0)),cartesian_product2(esk8_0,esk9_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_53,c_0_54])]) ).
cnf(c_0_57,plain,
( in(unordered_pair(unordered_pair(X1,X2),singleton(X1)),cartesian_product2(X3,X4))
| ~ in(X2,X4)
| ~ in(X1,X3) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_55])]) ).
cnf(c_0_58,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_57]),c_0_54]),c_0_50])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SEU157+1 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.33 % Computer : n024.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 11:27:19 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.44 # ENIGMATIC: Selected complete mode:
% 7.71/2.30 # ENIGMATIC: Solved by autoschedule-lgb:
% 7.71/2.30 # No SInE strategy applied
% 7.71/2.30 # Trying AutoSched0 for 150 seconds
% 7.71/2.30 # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S05AN
% 7.71/2.30 # and selection function PSelectComplexExceptUniqMaxPosHorn.
% 7.71/2.30 #
% 7.71/2.30 # Preprocessing time : 0.012 s
% 7.71/2.30 # Presaturation interreduction done
% 7.71/2.30
% 7.71/2.30 # Proof found!
% 7.71/2.30 # SZS status Theorem
% 7.71/2.30 # SZS output start CNFRefutation
% See solution above
% 7.71/2.30 # Training examples: 0 positive, 0 negative
% 7.71/2.30
% 7.71/2.30 # -------------------------------------------------
% 7.71/2.30 # User time : 0.017 s
% 7.71/2.30 # System time : 0.005 s
% 7.71/2.30 # Total time : 0.021 s
% 7.71/2.30 # Maximum resident set size: 7124 pages
% 7.71/2.30
%------------------------------------------------------------------------------