TSTP Solution File: SEU142+1 by Enigma---0.5.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SEU142+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n023.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 08:38:47 EDT 2022
% Result : Theorem 7.77s 2.31s
% Output : CNFRefutation 7.77s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 5
% Syntax : Number of clauses : 18 ( 5 unt; 5 nHn; 11 RR)
% Number of literals : 44 ( 32 equ; 16 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 1 con; 0-3 aty)
% Number of variables : 36 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_6,plain,
( X1 = X2
| X3 != singleton(X2)
| ~ in(X1,X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pr_3iqyh/input.p',i_0_6) ).
cnf(i_0_7,plain,
( X1 = unordered_pair(X2,X3)
| esk2_3(X2,X3,X1) = X3
| esk2_3(X2,X3,X1) = X2
| in(esk2_3(X2,X3,X1),X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pr_3iqyh/input.p',i_0_7) ).
cnf(i_0_5,plain,
( in(X1,X2)
| X1 != X3
| X2 != singleton(X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pr_3iqyh/input.p',i_0_5) ).
cnf(i_0_8,plain,
( X1 = unordered_pair(X2,X3)
| esk2_3(X2,X3,X1) != X3
| ~ in(esk2_3(X2,X3,X1),X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pr_3iqyh/input.p',i_0_8) ).
cnf(i_0_17,negated_conjecture,
unordered_pair(esk4_0,esk4_0) != singleton(esk4_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pr_3iqyh/input.p',i_0_17) ).
cnf(c_0_23,plain,
( X1 = X2
| X3 != singleton(X2)
| ~ in(X1,X3) ),
i_0_6 ).
cnf(c_0_24,plain,
( X1 = X2
| ~ in(X1,singleton(X2)) ),
inference(er,[status(thm)],[c_0_23]) ).
cnf(c_0_25,plain,
( X1 = unordered_pair(X2,X3)
| esk2_3(X2,X3,X1) = X3
| esk2_3(X2,X3,X1) = X2
| in(esk2_3(X2,X3,X1),X1) ),
i_0_7 ).
cnf(c_0_26,plain,
( esk2_3(X1,X2,singleton(X3)) = X2
| esk2_3(X1,X2,singleton(X3)) = X1
| esk2_3(X1,X2,singleton(X3)) = X3
| singleton(X3) = unordered_pair(X1,X2) ),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_27,plain,
( in(X1,X2)
| X1 != X3
| X2 != singleton(X3) ),
i_0_5 ).
cnf(c_0_28,plain,
( esk2_3(X1,X1,singleton(X2)) = X2
| esk2_3(X1,X1,singleton(X2)) = X1
| singleton(X2) = unordered_pair(X1,X1) ),
inference(er,[status(thm)],[inference(ef,[status(thm)],[c_0_26])]) ).
cnf(c_0_29,plain,
( in(X1,X2)
| X2 != singleton(X1) ),
inference(er,[status(thm)],[c_0_27]) ).
cnf(c_0_30,plain,
( X1 = unordered_pair(X2,X3)
| esk2_3(X2,X3,X1) != X3
| ~ in(esk2_3(X2,X3,X1),X1) ),
i_0_8 ).
cnf(c_0_31,plain,
( esk2_3(X1,X1,singleton(X1)) = X1
| singleton(X1) = unordered_pair(X1,X1) ),
inference(er,[status(thm)],[inference(ef,[status(thm)],[c_0_28])]) ).
cnf(c_0_32,plain,
in(X1,singleton(X1)),
inference(er,[status(thm)],[c_0_29]) ).
cnf(c_0_33,negated_conjecture,
unordered_pair(esk4_0,esk4_0) != singleton(esk4_0),
i_0_17 ).
cnf(c_0_34,plain,
singleton(X1) = unordered_pair(X1,X1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_31]),c_0_32])]) ).
cnf(c_0_35,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_33,c_0_34])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SEU142+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 : n023.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 : Mon Jun 20 10:02:05 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.44 # ENIGMATIC: Selected complete mode:
% 7.77/2.31 # ENIGMATIC: Solved by autoschedule:
% 7.77/2.31 # No SInE strategy applied
% 7.77/2.31 # Trying AutoSched0 for 150 seconds
% 7.77/2.31 # AutoSched0-Mode selected heuristic H_____047_C18_F1_PI_AE_R8_CS_SP_S2S
% 7.77/2.31 # and selection function SelectNewComplexAHP.
% 7.77/2.31 #
% 7.77/2.31 # Preprocessing time : 0.012 s
% 7.77/2.31
% 7.77/2.31 # Proof found!
% 7.77/2.31 # SZS status Theorem
% 7.77/2.31 # SZS output start CNFRefutation
% See solution above
% 7.77/2.31 # Training examples: 0 positive, 0 negative
% 7.77/2.31
% 7.77/2.31 # -------------------------------------------------
% 7.77/2.31 # User time : 0.015 s
% 7.77/2.31 # System time : 0.005 s
% 7.77/2.31 # Total time : 0.020 s
% 7.77/2.31 # Maximum resident set size: 7120 pages
% 7.77/2.31
%------------------------------------------------------------------------------