TSTP Solution File: LCL668+1.001 by Enigma---0.5.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : LCL668+1.001 : TPTP v8.1.0. Released v4.0.0.
% 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 : Sun Jul 17 09:31:32 EDT 2022
% Result : Theorem 12.49s 2.86s
% Output : CNFRefutation 12.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 8
% Syntax : Number of clauses : 54 ( 5 unt; 30 nHn; 52 RR)
% Number of literals : 320 ( 0 equ; 242 neg)
% Maximal clause size : 10 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-3 aty)
% Number of variables : 223 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_10,negated_conjecture,
( p2(X1)
| p1(X1)
| ~ r1(X2,X3)
| ~ r1(X3,X4)
| ~ r1(X4,X5)
| ~ r1(X5,X6)
| ~ r1(X6,X7)
| ~ r1(X7,X8)
| ~ r1(X8,X1)
| ~ r1(esk1_0,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-dsiviy_9/input.p',i_0_10) ).
cnf(i_0_1,plain,
r1(X1,X1),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-dsiviy_9/input.p',i_0_1) ).
cnf(i_0_18,negated_conjecture,
( p4(X1)
| p3(X1)
| ~ r1(X2,X3)
| ~ r1(X3,X4)
| ~ r1(X4,X5)
| ~ r1(X5,X6)
| ~ r1(X6,X7)
| ~ r1(X7,X8)
| ~ r1(X8,X1)
| ~ r1(esk1_0,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-dsiviy_9/input.p',i_0_18) ).
cnf(i_0_22,negated_conjecture,
( p4(X1)
| p5(X1)
| ~ r1(X2,X3)
| ~ r1(X3,X4)
| ~ r1(X4,X5)
| ~ r1(X5,X6)
| ~ r1(X6,X7)
| ~ r1(X7,X8)
| ~ r1(X8,X1)
| ~ r1(esk1_0,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-dsiviy_9/input.p',i_0_22) ).
cnf(i_0_16,negated_conjecture,
( r1(X1,esk11_3(X2,X3,X1))
| ~ r1(X3,X1)
| ~ r1(X2,X3)
| ~ r1(esk1_0,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-dsiviy_9/input.p',i_0_16) ).
cnf(i_0_25,negated_conjecture,
( ~ p5(X1)
| ~ p1(X1)
| ~ r1(X2,X3)
| ~ r1(X3,X4)
| ~ r1(X4,X5)
| ~ r1(X5,X6)
| ~ r1(X6,X7)
| ~ r1(X7,X8)
| ~ r1(X8,X1)
| ~ r1(esk1_0,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-dsiviy_9/input.p',i_0_25) ).
cnf(i_0_13,negated_conjecture,
( ~ p2(X1)
| ~ p3(X1)
| ~ r1(X2,X3)
| ~ r1(X3,X4)
| ~ r1(X4,X5)
| ~ r1(X5,X6)
| ~ r1(X6,X7)
| ~ r1(X7,X8)
| ~ r1(X8,X1)
| ~ r1(esk1_0,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-dsiviy_9/input.p',i_0_13) ).
cnf(i_0_15,negated_conjecture,
( ~ r1(X1,X2)
| ~ r1(X3,X1)
| ~ r1(esk1_0,X3)
| ~ p4(esk11_3(X3,X1,X2)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-dsiviy_9/input.p',i_0_15) ).
cnf(c_0_34,negated_conjecture,
( p2(X1)
| p1(X1)
| ~ r1(X2,X3)
| ~ r1(X3,X4)
| ~ r1(X4,X5)
| ~ r1(X5,X6)
| ~ r1(X6,X7)
| ~ r1(X7,X8)
| ~ r1(X8,X1)
| ~ r1(esk1_0,X2) ),
i_0_10 ).
cnf(c_0_35,plain,
r1(X1,X1),
i_0_1 ).
cnf(c_0_36,negated_conjecture,
( p4(X1)
| p3(X1)
| ~ r1(X2,X3)
| ~ r1(X3,X4)
| ~ r1(X4,X5)
| ~ r1(X5,X6)
| ~ r1(X6,X7)
| ~ r1(X7,X8)
| ~ r1(X8,X1)
| ~ r1(esk1_0,X2) ),
i_0_18 ).
cnf(c_0_37,plain,
( p1(X1)
| p2(X1)
| ~ r1(esk1_0,X2)
| ~ r1(X3,X1)
| ~ r1(X4,X3)
| ~ r1(X5,X4)
| ~ r1(X6,X5)
| ~ r1(X7,X6)
| ~ r1(X2,X7) ),
inference(spm,[status(thm)],[c_0_34,c_0_35]) ).
cnf(c_0_38,negated_conjecture,
( p4(X1)
| p5(X1)
| ~ r1(X2,X3)
| ~ r1(X3,X4)
| ~ r1(X4,X5)
| ~ r1(X5,X6)
| ~ r1(X6,X7)
| ~ r1(X7,X8)
| ~ r1(X8,X1)
| ~ r1(esk1_0,X2) ),
i_0_22 ).
cnf(c_0_39,plain,
( p3(X1)
| p4(X1)
| ~ r1(esk1_0,X2)
| ~ r1(X3,X1)
| ~ r1(X4,X3)
| ~ r1(X5,X4)
| ~ r1(X6,X5)
| ~ r1(X7,X6)
| ~ r1(X2,X7) ),
inference(spm,[status(thm)],[c_0_36,c_0_35]) ).
cnf(c_0_40,plain,
( p1(X1)
| p2(X1)
| ~ r1(esk1_0,X2)
| ~ r1(X3,X1)
| ~ r1(X4,X3)
| ~ r1(X5,X4)
| ~ r1(X6,X5)
| ~ r1(X2,X6) ),
inference(spm,[status(thm)],[c_0_37,c_0_35]) ).
cnf(c_0_41,plain,
( p5(X1)
| p4(X1)
| ~ r1(esk1_0,X2)
| ~ r1(X3,X1)
| ~ r1(X4,X3)
| ~ r1(X5,X4)
| ~ r1(X6,X5)
| ~ r1(X7,X6)
| ~ r1(X2,X7) ),
inference(spm,[status(thm)],[c_0_38,c_0_35]) ).
cnf(c_0_42,plain,
( p3(X1)
| p4(X1)
| ~ r1(esk1_0,X2)
| ~ r1(X3,X1)
| ~ r1(X4,X3)
| ~ r1(X5,X4)
| ~ r1(X6,X5)
| ~ r1(X2,X6) ),
inference(spm,[status(thm)],[c_0_39,c_0_35]) ).
cnf(c_0_43,plain,
( p1(X1)
| p2(X1)
| ~ r1(esk1_0,X2)
| ~ r1(X3,X1)
| ~ r1(X4,X3)
| ~ r1(X5,X4)
| ~ r1(X2,X5) ),
inference(spm,[status(thm)],[c_0_40,c_0_35]) ).
cnf(c_0_44,plain,
( p5(X1)
| p4(X1)
| ~ r1(esk1_0,X2)
| ~ r1(X3,X1)
| ~ r1(X4,X3)
| ~ r1(X5,X4)
| ~ r1(X6,X5)
| ~ r1(X2,X6) ),
inference(spm,[status(thm)],[c_0_41,c_0_35]) ).
cnf(c_0_45,plain,
( p3(X1)
| p4(X1)
| ~ r1(esk1_0,X2)
| ~ r1(X3,X1)
| ~ r1(X4,X3)
| ~ r1(X5,X4)
| ~ r1(X2,X5) ),
inference(spm,[status(thm)],[c_0_42,c_0_35]) ).
cnf(c_0_46,plain,
( p1(X1)
| p2(X1)
| ~ r1(esk1_0,X2)
| ~ r1(X3,X1)
| ~ r1(X4,X3)
| ~ r1(X2,X4) ),
inference(spm,[status(thm)],[c_0_43,c_0_35]) ).
cnf(c_0_47,negated_conjecture,
( r1(X1,esk11_3(X2,X3,X1))
| ~ r1(X3,X1)
| ~ r1(X2,X3)
| ~ r1(esk1_0,X2) ),
i_0_16 ).
cnf(c_0_48,plain,
( p5(X1)
| p4(X1)
| ~ r1(esk1_0,X2)
| ~ r1(X3,X1)
| ~ r1(X4,X3)
| ~ r1(X5,X4)
| ~ r1(X2,X5) ),
inference(spm,[status(thm)],[c_0_44,c_0_35]) ).
cnf(c_0_49,plain,
( p3(X1)
| p4(X1)
| ~ r1(esk1_0,X2)
| ~ r1(X3,X1)
| ~ r1(X4,X3)
| ~ r1(X2,X4) ),
inference(spm,[status(thm)],[c_0_45,c_0_35]) ).
cnf(c_0_50,plain,
( p1(X1)
| p2(X1)
| ~ r1(esk1_0,X2)
| ~ r1(X3,X1)
| ~ r1(X2,X3) ),
inference(spm,[status(thm)],[c_0_46,c_0_35]) ).
cnf(c_0_51,plain,
( r1(X1,esk11_3(esk1_0,X2,X1))
| ~ r1(esk1_0,X2)
| ~ r1(X2,X1) ),
inference(spm,[status(thm)],[c_0_47,c_0_35]) ).
cnf(c_0_52,plain,
( p5(X1)
| p4(X1)
| ~ r1(esk1_0,X2)
| ~ r1(X3,X1)
| ~ r1(X4,X3)
| ~ r1(X2,X4) ),
inference(spm,[status(thm)],[c_0_48,c_0_35]) ).
cnf(c_0_53,plain,
( p3(X1)
| p4(X1)
| ~ r1(esk1_0,X2)
| ~ r1(X3,X1)
| ~ r1(X2,X3) ),
inference(spm,[status(thm)],[c_0_49,c_0_35]) ).
cnf(c_0_54,plain,
( p1(X1)
| p2(X1)
| ~ r1(esk1_0,X2)
| ~ r1(X2,X1) ),
inference(spm,[status(thm)],[c_0_50,c_0_35]) ).
cnf(c_0_55,plain,
( r1(X1,esk11_3(esk1_0,esk1_0,X1))
| ~ r1(esk1_0,X1) ),
inference(spm,[status(thm)],[c_0_51,c_0_35]) ).
cnf(c_0_56,plain,
( p5(X1)
| p4(X1)
| ~ r1(esk1_0,X2)
| ~ r1(X3,X1)
| ~ r1(X2,X3) ),
inference(spm,[status(thm)],[c_0_52,c_0_35]) ).
cnf(c_0_57,plain,
( p3(X1)
| p4(X1)
| ~ r1(esk1_0,X2)
| ~ r1(X2,X1) ),
inference(spm,[status(thm)],[c_0_53,c_0_35]) ).
cnf(c_0_58,plain,
( p1(X1)
| p2(X1)
| ~ r1(esk1_0,X1) ),
inference(spm,[status(thm)],[c_0_54,c_0_35]) ).
cnf(c_0_59,plain,
r1(esk1_0,esk11_3(esk1_0,esk1_0,esk1_0)),
inference(spm,[status(thm)],[c_0_55,c_0_35]) ).
cnf(c_0_60,plain,
( p5(X1)
| p4(X1)
| ~ r1(esk1_0,X2)
| ~ r1(X2,X1) ),
inference(spm,[status(thm)],[c_0_56,c_0_35]) ).
cnf(c_0_61,plain,
( p3(X1)
| p4(X1)
| ~ r1(esk1_0,X1) ),
inference(spm,[status(thm)],[c_0_57,c_0_35]) ).
cnf(c_0_62,negated_conjecture,
( ~ p5(X1)
| ~ p1(X1)
| ~ r1(X2,X3)
| ~ r1(X3,X4)
| ~ r1(X4,X5)
| ~ r1(X5,X6)
| ~ r1(X6,X7)
| ~ r1(X7,X8)
| ~ r1(X8,X1)
| ~ r1(esk1_0,X2) ),
i_0_25 ).
cnf(c_0_63,plain,
( p1(esk11_3(esk1_0,esk1_0,esk1_0))
| p2(esk11_3(esk1_0,esk1_0,esk1_0)) ),
inference(spm,[status(thm)],[c_0_58,c_0_59]) ).
cnf(c_0_64,plain,
( p5(X1)
| p4(X1)
| ~ r1(esk1_0,X1) ),
inference(spm,[status(thm)],[c_0_60,c_0_35]) ).
cnf(c_0_65,negated_conjecture,
( ~ p2(X1)
| ~ p3(X1)
| ~ r1(X2,X3)
| ~ r1(X3,X4)
| ~ r1(X4,X5)
| ~ r1(X5,X6)
| ~ r1(X6,X7)
| ~ r1(X7,X8)
| ~ r1(X8,X1)
| ~ r1(esk1_0,X2) ),
i_0_13 ).
cnf(c_0_66,plain,
( p3(esk11_3(esk1_0,esk1_0,esk1_0))
| p4(esk11_3(esk1_0,esk1_0,esk1_0)) ),
inference(spm,[status(thm)],[c_0_61,c_0_59]) ).
cnf(c_0_67,negated_conjecture,
( p2(esk11_3(esk1_0,esk1_0,esk1_0))
| ~ p5(esk11_3(esk1_0,esk1_0,esk1_0))
| ~ r1(X1,esk11_3(esk1_0,esk1_0,esk1_0))
| ~ r1(esk1_0,X2)
| ~ r1(X3,X1)
| ~ r1(X4,X3)
| ~ r1(X5,X4)
| ~ r1(X6,X5)
| ~ r1(X7,X6)
| ~ r1(X2,X7) ),
inference(spm,[status(thm)],[c_0_62,c_0_63]) ).
cnf(c_0_68,plain,
( p5(esk11_3(esk1_0,esk1_0,esk1_0))
| p4(esk11_3(esk1_0,esk1_0,esk1_0)) ),
inference(spm,[status(thm)],[c_0_64,c_0_59]) ).
cnf(c_0_69,negated_conjecture,
( p4(esk11_3(esk1_0,esk1_0,esk1_0))
| ~ p2(esk11_3(esk1_0,esk1_0,esk1_0))
| ~ r1(X1,esk11_3(esk1_0,esk1_0,esk1_0))
| ~ r1(esk1_0,X2)
| ~ r1(X3,X1)
| ~ r1(X4,X3)
| ~ r1(X5,X4)
| ~ r1(X6,X5)
| ~ r1(X7,X6)
| ~ r1(X2,X7) ),
inference(spm,[status(thm)],[c_0_65,c_0_66]) ).
cnf(c_0_70,plain,
( p4(esk11_3(esk1_0,esk1_0,esk1_0))
| ~ r1(X1,esk11_3(esk1_0,esk1_0,esk1_0))
| ~ r1(esk1_0,X2)
| ~ r1(X3,X1)
| ~ r1(X4,X3)
| ~ r1(X5,X4)
| ~ r1(X6,X5)
| ~ r1(X7,X6)
| ~ r1(X2,X7) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_68]),c_0_69]) ).
cnf(c_0_71,plain,
( p4(esk11_3(esk1_0,esk1_0,esk1_0))
| ~ r1(esk1_0,X1)
| ~ r1(X2,esk1_0)
| ~ r1(X3,X2)
| ~ r1(X4,X3)
| ~ r1(X5,X4)
| ~ r1(X6,X5)
| ~ r1(X1,X6) ),
inference(spm,[status(thm)],[c_0_70,c_0_59]) ).
cnf(c_0_72,plain,
( p4(esk11_3(esk1_0,esk1_0,esk1_0))
| ~ r1(X1,esk1_0)
| ~ r1(esk1_0,X2)
| ~ r1(X3,X1)
| ~ r1(X4,X3)
| ~ r1(X5,X4)
| ~ r1(X2,X5) ),
inference(spm,[status(thm)],[c_0_71,c_0_35]) ).
cnf(c_0_73,plain,
( p4(esk11_3(esk1_0,esk1_0,esk1_0))
| ~ r1(esk1_0,X1)
| ~ r1(X2,esk1_0)
| ~ r1(X3,X2)
| ~ r1(X4,X3)
| ~ r1(X1,X4) ),
inference(spm,[status(thm)],[c_0_72,c_0_35]) ).
cnf(c_0_74,plain,
( p4(esk11_3(esk1_0,esk1_0,esk1_0))
| ~ r1(X1,esk1_0)
| ~ r1(esk1_0,X2)
| ~ r1(X3,X1)
| ~ r1(X2,X3) ),
inference(spm,[status(thm)],[c_0_73,c_0_35]) ).
cnf(c_0_75,plain,
( p4(esk11_3(esk1_0,esk1_0,esk1_0))
| ~ r1(esk1_0,X1)
| ~ r1(X2,esk1_0)
| ~ r1(X1,X2) ),
inference(spm,[status(thm)],[c_0_74,c_0_35]) ).
cnf(c_0_76,plain,
( p4(esk11_3(esk1_0,esk1_0,esk1_0))
| ~ r1(X1,esk1_0)
| ~ r1(esk1_0,X1) ),
inference(spm,[status(thm)],[c_0_75,c_0_35]) ).
cnf(c_0_77,negated_conjecture,
( ~ r1(X1,X2)
| ~ r1(X3,X1)
| ~ r1(esk1_0,X3)
| ~ p4(esk11_3(X3,X1,X2)) ),
i_0_15 ).
cnf(c_0_78,plain,
p4(esk11_3(esk1_0,esk1_0,esk1_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_35]),c_0_35])]) ).
cnf(c_0_79,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_78]),c_0_35])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : LCL668+1.001 : TPTP v8.1.0. Released v4.0.0.
% 0.06/0.12 % 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 Jul 3 07:32:31 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.44 # ENIGMATIC: Selected complete mode:
% 12.49/2.86 # ENIGMATIC: Solved by autoschedule:
% 12.49/2.86 # No SInE strategy applied
% 12.49/2.86 # Trying AutoSched0 for 150 seconds
% 12.49/2.86 # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S047A
% 12.49/2.86 # and selection function PSelectComplexPreferNEQ.
% 12.49/2.86 #
% 12.49/2.86 # Preprocessing time : 0.024 s
% 12.49/2.86 # Presaturation interreduction done
% 12.49/2.86
% 12.49/2.86 # Proof found!
% 12.49/2.86 # SZS status Theorem
% 12.49/2.86 # SZS output start CNFRefutation
% See solution above
% 12.49/2.86 # Training examples: 0 positive, 0 negative
% 12.49/2.86
% 12.49/2.86 # -------------------------------------------------
% 12.49/2.86 # User time : 0.569 s
% 12.49/2.86 # System time : 0.017 s
% 12.49/2.86 # Total time : 0.586 s
% 12.49/2.86 # Maximum resident set size: 7120 pages
% 12.49/2.86
%------------------------------------------------------------------------------