TSTP Solution File: SWW295+1 by Enigma---0.5.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SWW295+1 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n020.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 : Thu Jul 21 00:01:55 EDT 2022
% Result : Theorem 6.16s 3.64s
% Output : CNFRefutation 6.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 12
% Syntax : Number of clauses : 53 ( 7 unt; 30 nHn; 53 RR)
% Number of literals : 154 ( 0 equ; 66 neg)
% Maximal clause size : 6 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-4 aty)
% Number of functors : 14 ( 14 usr; 11 con; 0-2 aty)
% Number of variables : 76 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_6,negated_conjecture,
( v_Q(X1,X2)
| v_Q(X3,X4)
| ~ v_P(X1,X5)
| ~ v_P(X3,X6)
| ~ c_Natural_Oevaln(c_Com_Ocom_OBODY(v_pn),X5,hAPP(c_Nat_OSuc,v_n),X2)
| ~ c_Natural_Oevaln(hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,v_pn)),X6,v_n,X4) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-eay1pce0/lgb.p',i_0_6) ).
cnf(i_0_965,plain,
( c_Natural_Oevaln(hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,X1)),X2,X3,X4)
| ~ c_Natural_Oevaln(c_Com_Ocom_OBODY(X1),X2,hAPP(c_Nat_OSuc,X3),X4) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-eay1pce0/lgb.p',i_0_965) ).
cnf(i_0_14,negated_conjecture,
( v_P(esk1_0,esk2_0)
| c_Natural_Oevaln(c_Com_Ocom_OBODY(v_pn),esk5_0,hAPP(c_Nat_OSuc,v_n),esk6_0) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-eay1pce0/lgb.p',i_0_14) ).
cnf(i_0_12,negated_conjecture,
( v_P(esk4_0,esk5_0)
| c_Natural_Oevaln(hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,v_pn)),esk2_0,v_n,esk3_0) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-eay1pce0/lgb.p',i_0_12) ).
cnf(i_0_964,plain,
( c_Natural_Oevaln(c_Com_Ocom_OBODY(X1),X2,hAPP(c_Nat_OSuc,X3),X4)
| ~ c_Natural_Oevaln(hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,X1)),X2,X3,X4) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-eay1pce0/lgb.p',i_0_964) ).
cnf(i_0_15,negated_conjecture,
( v_P(esk1_0,esk2_0)
| v_P(esk4_0,esk5_0) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-eay1pce0/lgb.p',i_0_15) ).
cnf(i_0_13,negated_conjecture,
( v_P(esk1_0,esk2_0)
| ~ v_Q(esk4_0,esk6_0) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-eay1pce0/lgb.p',i_0_13) ).
cnf(i_0_11,negated_conjecture,
( c_Natural_Oevaln(c_Com_Ocom_OBODY(v_pn),esk5_0,hAPP(c_Nat_OSuc,v_n),esk6_0)
| c_Natural_Oevaln(hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,v_pn)),esk2_0,v_n,esk3_0) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-eay1pce0/lgb.p',i_0_11) ).
cnf(i_0_9,negated_conjecture,
( v_P(esk4_0,esk5_0)
| ~ v_Q(esk1_0,esk3_0) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-eay1pce0/lgb.p',i_0_9) ).
cnf(i_0_10,negated_conjecture,
( c_Natural_Oevaln(hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,v_pn)),esk2_0,v_n,esk3_0)
| ~ v_Q(esk4_0,esk6_0) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-eay1pce0/lgb.p',i_0_10) ).
cnf(i_0_8,negated_conjecture,
( c_Natural_Oevaln(c_Com_Ocom_OBODY(v_pn),esk5_0,hAPP(c_Nat_OSuc,v_n),esk6_0)
| ~ v_Q(esk1_0,esk3_0) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-eay1pce0/lgb.p',i_0_8) ).
cnf(i_0_7,negated_conjecture,
( ~ v_Q(esk1_0,esk3_0)
| ~ v_Q(esk4_0,esk6_0) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-eay1pce0/lgb.p',i_0_7) ).
cnf(c_0_978,negated_conjecture,
( v_Q(X1,X2)
| v_Q(X3,X4)
| ~ v_P(X1,X5)
| ~ v_P(X3,X6)
| ~ c_Natural_Oevaln(c_Com_Ocom_OBODY(v_pn),X5,hAPP(c_Nat_OSuc,v_n),X2)
| ~ c_Natural_Oevaln(hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,v_pn)),X6,v_n,X4) ),
i_0_6 ).
cnf(c_0_979,plain,
( c_Natural_Oevaln(hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,X1)),X2,X3,X4)
| ~ c_Natural_Oevaln(c_Com_Ocom_OBODY(X1),X2,hAPP(c_Nat_OSuc,X3),X4) ),
i_0_965 ).
cnf(c_0_980,plain,
( v_Q(X1,X2)
| v_Q(X3,X4)
| ~ c_Natural_Oevaln(c_Com_Ocom_OBODY(v_pn),X5,hAPP(c_Nat_OSuc,v_n),X4)
| ~ c_Natural_Oevaln(c_Com_Ocom_OBODY(v_pn),X6,hAPP(c_Nat_OSuc,v_n),X2)
| ~ v_P(X1,X6)
| ~ v_P(X3,X5) ),
inference(spm,[status(thm)],[c_0_978,c_0_979]) ).
cnf(c_0_981,negated_conjecture,
( v_P(esk1_0,esk2_0)
| c_Natural_Oevaln(c_Com_Ocom_OBODY(v_pn),esk5_0,hAPP(c_Nat_OSuc,v_n),esk6_0) ),
i_0_14 ).
cnf(c_0_982,negated_conjecture,
( v_Q(X1,esk6_0)
| v_Q(X2,X3)
| v_P(esk1_0,esk2_0)
| ~ c_Natural_Oevaln(c_Com_Ocom_OBODY(v_pn),X4,hAPP(c_Nat_OSuc,v_n),X3)
| ~ v_P(X1,esk5_0)
| ~ v_P(X2,X4) ),
inference(spm,[status(thm)],[c_0_980,c_0_981]) ).
cnf(c_0_983,negated_conjecture,
( v_P(esk4_0,esk5_0)
| c_Natural_Oevaln(hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,v_pn)),esk2_0,v_n,esk3_0) ),
i_0_12 ).
cnf(c_0_984,plain,
( c_Natural_Oevaln(c_Com_Ocom_OBODY(X1),X2,hAPP(c_Nat_OSuc,X3),X4)
| ~ c_Natural_Oevaln(hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,X1)),X2,X3,X4) ),
i_0_964 ).
cnf(c_0_985,negated_conjecture,
( v_Q(X1,esk6_0)
| v_Q(X2,esk6_0)
| v_P(esk1_0,esk2_0)
| ~ v_P(X2,esk5_0)
| ~ v_P(X1,esk5_0) ),
inference(spm,[status(thm)],[c_0_982,c_0_981]) ).
cnf(c_0_986,negated_conjecture,
( v_P(esk1_0,esk2_0)
| v_P(esk4_0,esk5_0) ),
i_0_15 ).
cnf(c_0_987,negated_conjecture,
( v_P(esk1_0,esk2_0)
| ~ v_Q(esk4_0,esk6_0) ),
i_0_13 ).
cnf(c_0_988,negated_conjecture,
( c_Natural_Oevaln(c_Com_Ocom_OBODY(v_pn),esk5_0,hAPP(c_Nat_OSuc,v_n),esk6_0)
| c_Natural_Oevaln(hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,v_pn)),esk2_0,v_n,esk3_0) ),
i_0_11 ).
cnf(c_0_989,negated_conjecture,
( v_Q(X1,esk3_0)
| v_Q(X2,X3)
| v_P(esk4_0,esk5_0)
| ~ c_Natural_Oevaln(c_Com_Ocom_OBODY(v_pn),X4,hAPP(c_Nat_OSuc,v_n),X3)
| ~ v_P(X1,esk2_0)
| ~ v_P(X2,X4) ),
inference(spm,[status(thm)],[c_0_978,c_0_983]) ).
cnf(c_0_990,negated_conjecture,
( c_Natural_Oevaln(c_Com_Ocom_OBODY(v_pn),esk2_0,hAPP(c_Nat_OSuc,v_n),esk3_0)
| v_P(esk4_0,esk5_0) ),
inference(spm,[status(thm)],[c_0_984,c_0_983]) ).
cnf(c_0_991,negated_conjecture,
( v_Q(X1,esk6_0)
| v_P(esk1_0,esk2_0)
| ~ v_P(X1,esk5_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_985,c_0_986]),c_0_987]) ).
cnf(c_0_992,negated_conjecture,
( c_Natural_Oevaln(c_Com_Ocom_OBODY(v_pn),esk5_0,hAPP(c_Nat_OSuc,v_n),esk6_0)
| c_Natural_Oevaln(c_Com_Ocom_OBODY(v_pn),esk2_0,hAPP(c_Nat_OSuc,v_n),esk3_0) ),
inference(spm,[status(thm)],[c_0_984,c_0_988]) ).
cnf(c_0_993,negated_conjecture,
( v_Q(X1,esk3_0)
| v_Q(X2,esk3_0)
| v_P(esk4_0,esk5_0)
| ~ v_P(X2,esk2_0)
| ~ v_P(X1,esk2_0) ),
inference(spm,[status(thm)],[c_0_989,c_0_990]) ).
cnf(c_0_994,negated_conjecture,
v_P(esk1_0,esk2_0),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_987,c_0_991]),c_0_986]) ).
cnf(c_0_995,negated_conjecture,
( v_P(esk4_0,esk5_0)
| ~ v_Q(esk1_0,esk3_0) ),
i_0_9 ).
cnf(c_0_996,negated_conjecture,
( c_Natural_Oevaln(c_Com_Ocom_OBODY(v_pn),esk2_0,hAPP(c_Nat_OSuc,v_n),esk3_0)
| v_Q(X1,esk6_0)
| v_Q(X2,X3)
| ~ c_Natural_Oevaln(c_Com_Ocom_OBODY(v_pn),X4,hAPP(c_Nat_OSuc,v_n),X3)
| ~ v_P(X1,esk5_0)
| ~ v_P(X2,X4) ),
inference(spm,[status(thm)],[c_0_980,c_0_992]) ).
cnf(c_0_997,negated_conjecture,
( v_Q(X1,esk3_0)
| v_P(esk4_0,esk5_0)
| ~ v_P(X1,esk2_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_993,c_0_994]),c_0_995]) ).
cnf(c_0_998,negated_conjecture,
( c_Natural_Oevaln(hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,v_pn)),esk2_0,v_n,esk3_0)
| ~ v_Q(esk4_0,esk6_0) ),
i_0_10 ).
cnf(c_0_999,negated_conjecture,
( c_Natural_Oevaln(c_Com_Ocom_OBODY(v_pn),esk2_0,hAPP(c_Nat_OSuc,v_n),esk3_0)
| v_Q(X1,esk6_0)
| v_Q(X2,esk6_0)
| ~ v_P(X2,esk5_0)
| ~ v_P(X1,esk5_0) ),
inference(spm,[status(thm)],[c_0_996,c_0_992]) ).
cnf(c_0_1000,negated_conjecture,
v_P(esk4_0,esk5_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_995,c_0_997]),c_0_994])]) ).
cnf(c_0_1001,negated_conjecture,
( c_Natural_Oevaln(c_Com_Ocom_OBODY(v_pn),esk2_0,hAPP(c_Nat_OSuc,v_n),esk3_0)
| ~ v_Q(esk4_0,esk6_0) ),
inference(spm,[status(thm)],[c_0_984,c_0_998]) ).
cnf(c_0_1002,negated_conjecture,
( c_Natural_Oevaln(c_Com_Ocom_OBODY(v_pn),esk2_0,hAPP(c_Nat_OSuc,v_n),esk3_0)
| v_Q(X1,esk6_0)
| ~ v_P(X1,esk5_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_999,c_0_1000]),c_0_1001]) ).
cnf(c_0_1003,negated_conjecture,
( c_Natural_Oevaln(c_Com_Ocom_OBODY(v_pn),esk5_0,hAPP(c_Nat_OSuc,v_n),esk6_0)
| v_Q(X1,esk3_0)
| v_Q(X2,X3)
| ~ c_Natural_Oevaln(c_Com_Ocom_OBODY(v_pn),X4,hAPP(c_Nat_OSuc,v_n),X3)
| ~ v_P(X1,esk2_0)
| ~ v_P(X2,X4) ),
inference(spm,[status(thm)],[c_0_978,c_0_988]) ).
cnf(c_0_1004,negated_conjecture,
c_Natural_Oevaln(c_Com_Ocom_OBODY(v_pn),esk2_0,hAPP(c_Nat_OSuc,v_n),esk3_0),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1002,c_0_1000]),c_0_1001]) ).
cnf(c_0_1005,negated_conjecture,
( c_Natural_Oevaln(c_Com_Ocom_OBODY(v_pn),esk5_0,hAPP(c_Nat_OSuc,v_n),esk6_0)
| v_Q(X1,esk3_0)
| v_Q(X2,esk3_0)
| ~ v_P(X2,esk2_0)
| ~ v_P(X1,esk2_0) ),
inference(spm,[status(thm)],[c_0_1003,c_0_1004]) ).
cnf(c_0_1006,negated_conjecture,
( c_Natural_Oevaln(c_Com_Ocom_OBODY(v_pn),esk5_0,hAPP(c_Nat_OSuc,v_n),esk6_0)
| ~ v_Q(esk1_0,esk3_0) ),
i_0_8 ).
cnf(c_0_1007,plain,
( v_Q(X1,esk3_0)
| v_Q(X2,X3)
| ~ c_Natural_Oevaln(c_Com_Ocom_OBODY(v_pn),X4,hAPP(c_Nat_OSuc,v_n),X3)
| ~ v_P(X1,esk2_0)
| ~ v_P(X2,X4) ),
inference(spm,[status(thm)],[c_0_980,c_0_1004]) ).
cnf(c_0_1008,negated_conjecture,
( c_Natural_Oevaln(c_Com_Ocom_OBODY(v_pn),esk5_0,hAPP(c_Nat_OSuc,v_n),esk6_0)
| v_Q(X1,esk3_0)
| ~ v_P(X1,esk2_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1005,c_0_994]),c_0_1006]) ).
cnf(c_0_1009,negated_conjecture,
( v_Q(X1,esk3_0)
| v_Q(X2,esk3_0)
| ~ v_P(X2,esk2_0)
| ~ v_P(X1,esk2_0) ),
inference(spm,[status(thm)],[c_0_1007,c_0_1004]) ).
cnf(c_0_1010,negated_conjecture,
c_Natural_Oevaln(c_Com_Ocom_OBODY(v_pn),esk5_0,hAPP(c_Nat_OSuc,v_n),esk6_0),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1008,c_0_994]),c_0_1006]) ).
cnf(c_0_1011,negated_conjecture,
( v_Q(esk1_0,esk3_0)
| v_Q(X1,esk3_0)
| ~ v_P(X1,esk2_0) ),
inference(spm,[status(thm)],[c_0_1009,c_0_994]) ).
cnf(c_0_1012,plain,
( v_Q(X1,esk6_0)
| v_Q(X2,X3)
| ~ c_Natural_Oevaln(c_Com_Ocom_OBODY(v_pn),X4,hAPP(c_Nat_OSuc,v_n),X3)
| ~ v_P(X1,esk5_0)
| ~ v_P(X2,X4) ),
inference(spm,[status(thm)],[c_0_980,c_0_1010]) ).
cnf(c_0_1013,negated_conjecture,
( ~ v_Q(esk1_0,esk3_0)
| ~ v_Q(esk4_0,esk6_0) ),
i_0_7 ).
cnf(c_0_1014,negated_conjecture,
v_Q(esk1_0,esk3_0),
inference(spm,[status(thm)],[c_0_1011,c_0_994]) ).
cnf(c_0_1015,negated_conjecture,
( v_Q(X1,esk6_0)
| v_Q(X2,esk6_0)
| ~ v_P(X2,esk5_0)
| ~ v_P(X1,esk5_0) ),
inference(spm,[status(thm)],[c_0_1012,c_0_1010]) ).
cnf(c_0_1016,negated_conjecture,
~ v_Q(esk4_0,esk6_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1013,c_0_1014])]) ).
cnf(c_0_1017,negated_conjecture,
( v_Q(X1,esk6_0)
| ~ v_P(X1,esk5_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1015,c_0_1000]),c_0_1016]) ).
cnf(c_0_1018,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1016,c_0_1017]),c_0_1000])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWW295+1 : TPTP v8.1.0. Released v5.2.0.
% 0.11/0.13 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.34 % Computer : n020.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Mon Jun 6 06:28:23 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.49 # ENIGMATIC: Selected SinE mode:
% 0.53/0.73 # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.53/0.73 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 0.53/0.73 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 0.53/0.73 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 6.16/3.64 # ENIGMATIC: Solved by autoschedule-lgb:
% 6.16/3.64 # No SInE strategy applied
% 6.16/3.64 # Trying AutoSched0 for 150 seconds
% 6.16/3.64 # AutoSched0-Mode selected heuristic G_____0021_C18_F1_SE_CS_SP_S0Y
% 6.16/3.64 # and selection function SelectMaxLComplexAvoidPosPred.
% 6.16/3.64 #
% 6.16/3.64 # Preprocessing time : 0.024 s
% 6.16/3.64
% 6.16/3.64 # Proof found!
% 6.16/3.64 # SZS status Theorem
% 6.16/3.64 # SZS output start CNFRefutation
% See solution above
% 6.16/3.64 # Training examples: 0 positive, 0 negative
% 6.16/3.64
% 6.16/3.64 # -------------------------------------------------
% 6.16/3.64 # User time : 0.030 s
% 6.16/3.64 # System time : 0.007 s
% 6.16/3.64 # Total time : 0.037 s
% 6.16/3.64 # Maximum resident set size: 9536 pages
% 6.16/3.64
%------------------------------------------------------------------------------