TSTP Solution File: KRS112+1 by Enigma---0.5.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : KRS112+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n026.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 02:55:38 EDT 2022
% Result : Unsatisfiable 4.41s 2.21s
% Output : CNFRefutation 4.41s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 15
% Syntax : Number of clauses : 44 ( 4 unt; 0 nHn; 44 RR)
% Number of literals : 95 ( 9 equ; 58 neg)
% Maximal clause size : 3 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 12 ( 10 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 1 con; 0-1 aty)
% Number of variables : 61 ( 3 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_34,plain,
( ~ cp(X1)
| ~ ra_Px1(X1,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-eufqzgi2/input.p',i_0_34) ).
cnf(i_0_36,plain,
( ra_Px1(X1,esk4_1(X1))
| ~ cpxcomp(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-eufqzgi2/input.p',i_0_36) ).
cnf(i_0_44,plain,
( X1 = X2
| ~ rf(X3,X2)
| ~ rf(X3,X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-eufqzgi2/input.p',i_0_44) ).
cnf(i_0_30,plain,
( rf(X1,esk2_1(X1))
| ~ cUnsatisfiable(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-eufqzgi2/input.p',i_0_30) ).
cnf(i_0_54,plain,
( rf(X1,X2)
| ~ rs(X1,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-eufqzgi2/input.p',i_0_54) ).
cnf(i_0_43,plain,
( rs(X1,esk6_1(X1))
| ~ ca_Vx3(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-eufqzgi2/input.p',i_0_43) ).
cnf(i_0_45,plain,
( X1 = X2
| ~ rf1(X3,X2)
| ~ rf1(X3,X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-eufqzgi2/input.p',i_0_45) ).
cnf(i_0_32,plain,
( rf1(X1,esk1_1(X1))
| ~ cUnsatisfiable(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-eufqzgi2/input.p',i_0_32) ).
cnf(i_0_55,plain,
( rf1(X1,X2)
| ~ rs(X1,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-eufqzgi2/input.p',i_0_55) ).
cnf(i_0_29,plain,
( cp(esk2_1(X1))
| ~ cUnsatisfiable(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-eufqzgi2/input.p',i_0_29) ).
cnf(i_0_40,plain,
( cpxcomp(X1)
| ~ ca_Ax2(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-eufqzgi2/input.p',i_0_40) ).
cnf(i_0_48,plain,
( rinvF1(X1,X2)
| ~ rf1(X2,X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-eufqzgi2/input.p',i_0_48) ).
cnf(i_0_31,plain,
( ca_Ax2(esk1_1(X1))
| ~ cUnsatisfiable(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-eufqzgi2/input.p',i_0_31) ).
cnf(i_0_39,plain,
( ca_Vx3(X1)
| ~ ca_Ax2(X2)
| ~ rinvF1(X2,X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-eufqzgi2/input.p',i_0_39) ).
cnf(i_0_53,plain,
cUnsatisfiable(i2003_11_14_17_21_19256),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-eufqzgi2/input.p',i_0_53) ).
cnf(c_0_71,plain,
( ~ cp(X1)
| ~ ra_Px1(X1,X2) ),
i_0_34 ).
cnf(c_0_72,plain,
( ra_Px1(X1,esk4_1(X1))
| ~ cpxcomp(X1) ),
i_0_36 ).
cnf(c_0_73,plain,
( X1 = X2
| ~ rf(X3,X2)
| ~ rf(X3,X1) ),
i_0_44 ).
cnf(c_0_74,plain,
( rf(X1,esk2_1(X1))
| ~ cUnsatisfiable(X1) ),
i_0_30 ).
cnf(c_0_75,plain,
( rf(X1,X2)
| ~ rs(X1,X2) ),
i_0_54 ).
cnf(c_0_76,plain,
( rs(X1,esk6_1(X1))
| ~ ca_Vx3(X1) ),
i_0_43 ).
cnf(c_0_77,plain,
( X1 = X2
| ~ rf1(X3,X2)
| ~ rf1(X3,X1) ),
i_0_45 ).
cnf(c_0_78,plain,
( rf1(X1,esk1_1(X1))
| ~ cUnsatisfiable(X1) ),
i_0_32 ).
cnf(c_0_79,plain,
( rf1(X1,X2)
| ~ rs(X1,X2) ),
i_0_55 ).
cnf(c_0_80,plain,
( ~ cp(X1)
| ~ cpxcomp(X1) ),
inference(spm,[status(thm)],[c_0_71,c_0_72]) ).
cnf(c_0_81,plain,
( cp(esk2_1(X1))
| ~ cUnsatisfiable(X1) ),
i_0_29 ).
cnf(c_0_82,plain,
( X1 = esk2_1(X2)
| ~ rf(X2,X1)
| ~ cUnsatisfiable(X2) ),
inference(spm,[status(thm)],[c_0_73,c_0_74]) ).
cnf(c_0_83,plain,
( rf(X1,esk6_1(X1))
| ~ ca_Vx3(X1) ),
inference(spm,[status(thm)],[c_0_75,c_0_76]) ).
cnf(c_0_84,plain,
( X1 = esk1_1(X2)
| ~ rf1(X2,X1)
| ~ cUnsatisfiable(X2) ),
inference(spm,[status(thm)],[c_0_77,c_0_78]) ).
cnf(c_0_85,plain,
( rf1(X1,esk6_1(X1))
| ~ ca_Vx3(X1) ),
inference(spm,[status(thm)],[c_0_79,c_0_76]) ).
cnf(c_0_86,plain,
( ~ cpxcomp(esk2_1(X1))
| ~ cUnsatisfiable(X1) ),
inference(spm,[status(thm)],[c_0_80,c_0_81]) ).
cnf(c_0_87,plain,
( cpxcomp(X1)
| ~ ca_Ax2(X1) ),
i_0_40 ).
cnf(c_0_88,plain,
( esk6_1(X1) = esk2_1(X1)
| ~ ca_Vx3(X1)
| ~ cUnsatisfiable(X1) ),
inference(spm,[status(thm)],[c_0_82,c_0_83]) ).
cnf(c_0_89,plain,
( esk6_1(X1) = esk1_1(X1)
| ~ ca_Vx3(X1)
| ~ cUnsatisfiable(X1) ),
inference(spm,[status(thm)],[c_0_84,c_0_85]) ).
cnf(c_0_90,plain,
( rinvF1(X1,X2)
| ~ rf1(X2,X1) ),
i_0_48 ).
cnf(c_0_91,plain,
( ~ ca_Ax2(esk2_1(X1))
| ~ cUnsatisfiable(X1) ),
inference(spm,[status(thm)],[c_0_86,c_0_87]) ).
cnf(c_0_92,plain,
( esk2_1(X1) = esk1_1(X1)
| ~ ca_Vx3(X1)
| ~ cUnsatisfiable(X1) ),
inference(spm,[status(thm)],[c_0_88,c_0_89]) ).
cnf(c_0_93,plain,
( ca_Ax2(esk1_1(X1))
| ~ cUnsatisfiable(X1) ),
i_0_31 ).
cnf(c_0_94,plain,
( ca_Vx3(X1)
| ~ ca_Ax2(X2)
| ~ rinvF1(X2,X1) ),
i_0_39 ).
cnf(c_0_95,plain,
( rinvF1(esk1_1(X1),X1)
| ~ cUnsatisfiable(X1) ),
inference(spm,[status(thm)],[c_0_90,c_0_78]) ).
cnf(c_0_96,plain,
( ~ ca_Vx3(X1)
| ~ cUnsatisfiable(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_92]),c_0_93]) ).
cnf(c_0_97,plain,
cUnsatisfiable(i2003_11_14_17_21_19256),
i_0_53 ).
cnf(c_0_98,plain,
~ cUnsatisfiable(X1),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_95]),c_0_93]),c_0_96]) ).
cnf(c_0_99,plain,
$false,
inference(sr,[status(thm)],[c_0_97,c_0_98]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : KRS112+1 : TPTP v8.1.0. Released v3.1.0.
% 0.07/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.33 % Computer : n026.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 : Tue Jun 7 10:07:33 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.44 # ENIGMATIC: Selected complete mode:
% 4.41/2.21 # ENIGMATIC: Solved by autoschedule:
% 4.41/2.21 # No SInE strategy applied
% 4.41/2.21 # Trying AutoSched0 for 150 seconds
% 4.41/2.21 # AutoSched0-Mode selected heuristic G_E___008_C45_F1_PI_AE_Q4_CS_SP_S4c
% 4.41/2.21 # and selection function SelectCQPrecWNTNp.
% 4.41/2.21 #
% 4.41/2.21 # Preprocessing time : 0.023 s
% 4.41/2.21
% 4.41/2.21 # Proof found!
% 4.41/2.21 # SZS status Theorem
% 4.41/2.21 # SZS output start CNFRefutation
% See solution above
% 4.41/2.21 # Training examples: 0 positive, 0 negative
% 4.41/2.21
% 4.41/2.21 # -------------------------------------------------
% 4.41/2.21 # User time : 0.025 s
% 4.41/2.21 # System time : 0.007 s
% 4.41/2.21 # Total time : 0.031 s
% 4.41/2.21 # Maximum resident set size: 7116 pages
% 4.41/2.21
%------------------------------------------------------------------------------