TSTP Solution File: GRP640+2 by Enigma---0.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : GRP640+2 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n028.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 : Sat Jul 16 08:39:47 EDT 2022
% Result : Theorem 9.91s 3.85s
% Output : CNFRefutation 9.91s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 15
% Syntax : Number of clauses : 41 ( 23 unt; 14 nHn; 41 RR)
% Number of literals : 138 ( 11 equ; 87 neg)
% Maximal clause size : 10 ( 3 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 1 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 6 con; 0-4 aty)
% Number of variables : 40 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_2977,plain,
( v3_struct_0(X1)
| r1_group_2(X1,k8_group_4(X1,X2,X3),k5_group_4(X1,X4))
| X4 != k3_tarski(k2_enumset1(u1_struct_0(X2),u1_struct_0(X2),u1_struct_0(X2),u1_struct_0(X3)))
| ~ l1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ m1_group_2(X3,X1)
| ~ m1_group_2(X2,X1)
| ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X1))) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-18gh4_27/lgb.p',i_0_2977) ).
cnf(i_0_1500,negated_conjecture,
k3_tarski(k2_enumset1(u1_struct_0(esk268_0),u1_struct_0(esk268_0),u1_struct_0(esk268_0),u1_struct_0(esk269_0))) = esk271_0,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-18gh4_27/lgb.p',i_0_1500) ).
cnf(i_0_1501,negated_conjecture,
m1_subset_1(esk271_0,k1_zfmisc_1(u1_struct_0(esk266_0))),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-18gh4_27/lgb.p',i_0_1501) ).
cnf(i_0_1512,negated_conjecture,
v4_group_1(esk266_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-18gh4_27/lgb.p',i_0_1512) ).
cnf(i_0_1513,negated_conjecture,
v3_group_1(esk266_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-18gh4_27/lgb.p',i_0_1513) ).
cnf(i_0_1511,negated_conjecture,
l1_group_1(esk266_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-18gh4_27/lgb.p',i_0_1511) ).
cnf(i_0_1505,negated_conjecture,
m1_group_2(esk269_0,esk266_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-18gh4_27/lgb.p',i_0_1505) ).
cnf(i_0_1506,negated_conjecture,
m1_group_2(esk268_0,esk266_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-18gh4_27/lgb.p',i_0_1506) ).
cnf(i_0_1514,negated_conjecture,
~ v3_struct_0(esk266_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-18gh4_27/lgb.p',i_0_1514) ).
cnf(i_0_677,plain,
( v3_struct_0(X1)
| v1_group_1(k5_group_4(X1,X2))
| ~ l1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-18gh4_27/lgb.p',i_0_677) ).
cnf(i_0_676,plain,
( v3_struct_0(X1)
| m1_group_2(k5_group_4(X1,X2),X1)
| ~ l1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-18gh4_27/lgb.p',i_0_676) ).
cnf(i_0_1110,plain,
( X1 = X2
| v3_struct_0(X3)
| ~ l1_group_1(X3)
| ~ v3_group_1(X3)
| ~ v4_group_1(X3)
| ~ v1_group_1(X2)
| ~ v1_group_1(X1)
| ~ m1_group_2(X2,X3)
| ~ m1_group_2(X1,X3)
| ~ r1_group_2(X3,X1,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-18gh4_27/lgb.p',i_0_1110) ).
cnf(i_0_708,plain,
( v3_struct_0(X1)
| v1_group_1(k8_group_4(X1,X2,X3))
| ~ l1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ m1_group_2(X3,X1)
| ~ m1_group_2(X2,X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-18gh4_27/lgb.p',i_0_708) ).
cnf(i_0_707,plain,
( v3_struct_0(X1)
| m1_group_2(k8_group_4(X1,X2,X3),X1)
| ~ l1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ m1_group_2(X3,X1)
| ~ m1_group_2(X2,X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-18gh4_27/lgb.p',i_0_707) ).
cnf(i_0_1499,negated_conjecture,
k2_funct_2(u1_struct_0(esk266_0),u1_struct_0(esk267_0),esk270_0,u1_struct_0(k8_group_4(esk266_0,esk268_0,esk269_0))) != k2_funct_2(u1_struct_0(esk266_0),u1_struct_0(esk267_0),esk270_0,u1_struct_0(k5_group_4(esk266_0,esk271_0))),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-18gh4_27/lgb.p',i_0_1499) ).
cnf(c_0_2993,plain,
( v3_struct_0(X1)
| r1_group_2(X1,k8_group_4(X1,X2,X3),k5_group_4(X1,X4))
| X4 != k3_tarski(k2_enumset1(u1_struct_0(X2),u1_struct_0(X2),u1_struct_0(X2),u1_struct_0(X3)))
| ~ l1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ m1_group_2(X3,X1)
| ~ m1_group_2(X2,X1)
| ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X1))) ),
i_0_2977 ).
cnf(c_0_2994,plain,
( r1_group_2(X1,k8_group_4(X1,X2,X3),k5_group_4(X1,k3_tarski(k2_enumset1(u1_struct_0(X2),u1_struct_0(X2),u1_struct_0(X2),u1_struct_0(X3)))))
| v3_struct_0(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ l1_group_1(X1)
| ~ m1_group_2(X3,X1)
| ~ m1_group_2(X2,X1)
| ~ m1_subset_1(k3_tarski(k2_enumset1(u1_struct_0(X2),u1_struct_0(X2),u1_struct_0(X2),u1_struct_0(X3))),k1_zfmisc_1(u1_struct_0(X1))) ),
inference(er,[status(thm)],[c_0_2993]) ).
cnf(c_0_2995,negated_conjecture,
k3_tarski(k2_enumset1(u1_struct_0(esk268_0),u1_struct_0(esk268_0),u1_struct_0(esk268_0),u1_struct_0(esk269_0))) = esk271_0,
i_0_1500 ).
cnf(c_0_2996,negated_conjecture,
( r1_group_2(X1,k8_group_4(X1,esk268_0,esk269_0),k5_group_4(X1,esk271_0))
| v3_struct_0(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ l1_group_1(X1)
| ~ m1_group_2(esk269_0,X1)
| ~ m1_group_2(esk268_0,X1)
| ~ m1_subset_1(esk271_0,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(spm,[status(thm)],[c_0_2994,c_0_2995]) ).
cnf(c_0_2997,negated_conjecture,
m1_subset_1(esk271_0,k1_zfmisc_1(u1_struct_0(esk266_0))),
i_0_1501 ).
cnf(c_0_2998,negated_conjecture,
v4_group_1(esk266_0),
i_0_1512 ).
cnf(c_0_2999,negated_conjecture,
v3_group_1(esk266_0),
i_0_1513 ).
cnf(c_0_3000,negated_conjecture,
l1_group_1(esk266_0),
i_0_1511 ).
cnf(c_0_3001,negated_conjecture,
m1_group_2(esk269_0,esk266_0),
i_0_1505 ).
cnf(c_0_3002,negated_conjecture,
m1_group_2(esk268_0,esk266_0),
i_0_1506 ).
cnf(c_0_3003,negated_conjecture,
~ v3_struct_0(esk266_0),
i_0_1514 ).
cnf(c_0_3004,plain,
( v3_struct_0(X1)
| v1_group_1(k5_group_4(X1,X2))
| ~ l1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ),
i_0_677 ).
cnf(c_0_3005,plain,
( v3_struct_0(X1)
| m1_group_2(k5_group_4(X1,X2),X1)
| ~ l1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ),
i_0_676 ).
cnf(c_0_3006,plain,
( X1 = X2
| v3_struct_0(X3)
| ~ l1_group_1(X3)
| ~ v3_group_1(X3)
| ~ v4_group_1(X3)
| ~ v1_group_1(X2)
| ~ v1_group_1(X1)
| ~ m1_group_2(X2,X3)
| ~ m1_group_2(X1,X3)
| ~ r1_group_2(X3,X1,X2) ),
i_0_1110 ).
cnf(c_0_3007,negated_conjecture,
r1_group_2(esk266_0,k8_group_4(esk266_0,esk268_0,esk269_0),k5_group_4(esk266_0,esk271_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2996,c_0_2997]),c_0_2998]),c_0_2999]),c_0_3000]),c_0_3001]),c_0_3002])]),c_0_3003]) ).
cnf(c_0_3008,negated_conjecture,
v1_group_1(k5_group_4(esk266_0,esk271_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3004,c_0_2997]),c_0_2998]),c_0_2999]),c_0_3000])]),c_0_3003]) ).
cnf(c_0_3009,negated_conjecture,
m1_group_2(k5_group_4(esk266_0,esk271_0),esk266_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3005,c_0_2997]),c_0_2998]),c_0_2999]),c_0_3000])]),c_0_3003]) ).
cnf(c_0_3010,plain,
( v3_struct_0(X1)
| v1_group_1(k8_group_4(X1,X2,X3))
| ~ l1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ m1_group_2(X3,X1)
| ~ m1_group_2(X2,X1) ),
i_0_708 ).
cnf(c_0_3011,plain,
( k8_group_4(esk266_0,esk268_0,esk269_0) = k5_group_4(esk266_0,esk271_0)
| ~ v1_group_1(k8_group_4(esk266_0,esk268_0,esk269_0))
| ~ m1_group_2(k8_group_4(esk266_0,esk268_0,esk269_0),esk266_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3006,c_0_3007]),c_0_2998]),c_0_2999]),c_0_3000]),c_0_3008]),c_0_3009])]),c_0_3003]) ).
cnf(c_0_3012,negated_conjecture,
( v1_group_1(k8_group_4(esk266_0,X1,esk269_0))
| ~ m1_group_2(X1,esk266_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3010,c_0_3001]),c_0_2998]),c_0_2999]),c_0_3000])]),c_0_3003]) ).
cnf(c_0_3013,plain,
( v3_struct_0(X1)
| m1_group_2(k8_group_4(X1,X2,X3),X1)
| ~ l1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ m1_group_2(X3,X1)
| ~ m1_group_2(X2,X1) ),
i_0_707 ).
cnf(c_0_3014,negated_conjecture,
( k8_group_4(esk266_0,esk268_0,esk269_0) = k5_group_4(esk266_0,esk271_0)
| ~ m1_group_2(k8_group_4(esk266_0,esk268_0,esk269_0),esk266_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3011,c_0_3012]),c_0_3002])]) ).
cnf(c_0_3015,negated_conjecture,
( m1_group_2(k8_group_4(esk266_0,X1,esk269_0),esk266_0)
| ~ m1_group_2(X1,esk266_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3013,c_0_3001]),c_0_2998]),c_0_2999]),c_0_3000])]),c_0_3003]) ).
cnf(c_0_3016,negated_conjecture,
k2_funct_2(u1_struct_0(esk266_0),u1_struct_0(esk267_0),esk270_0,u1_struct_0(k8_group_4(esk266_0,esk268_0,esk269_0))) != k2_funct_2(u1_struct_0(esk266_0),u1_struct_0(esk267_0),esk270_0,u1_struct_0(k5_group_4(esk266_0,esk271_0))),
i_0_1499 ).
cnf(c_0_3017,negated_conjecture,
k8_group_4(esk266_0,esk268_0,esk269_0) = k5_group_4(esk266_0,esk271_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3014,c_0_3015]),c_0_3002])]) ).
cnf(c_0_3018,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_3016,c_0_3017])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP640+2 : TPTP v8.1.0. Released v3.4.0.
% 0.03/0.13 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.34 % Computer : n028.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 : Tue Jun 14 10:57:26 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.20/0.47 # ENIGMATIC: Selected SinE mode:
% 0.48/0.68 # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.48/0.68 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 0.48/0.68 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 0.48/0.68 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 9.91/3.85 # ENIGMATIC: Solved by autoschedule-lgb:
% 9.91/3.85 # No SInE strategy applied
% 9.91/3.85 # Trying AutoSched0 for 150 seconds
% 9.91/3.85 # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 9.91/3.85 # and selection function SelectComplexExceptUniqMaxHorn.
% 9.91/3.85 #
% 9.91/3.85 # Preprocessing time : 0.025 s
% 9.91/3.85 # Presaturation interreduction done
% 9.91/3.85
% 9.91/3.85 # Proof found!
% 9.91/3.85 # SZS status Theorem
% 9.91/3.85 # SZS output start CNFRefutation
% See solution above
% 9.91/3.85 # Training examples: 0 positive, 0 negative
% 9.91/3.85
% 9.91/3.85 # -------------------------------------------------
% 9.91/3.85 # User time : 0.067 s
% 9.91/3.85 # System time : 0.007 s
% 9.91/3.85 # Total time : 0.074 s
% 9.91/3.85 # Maximum resident set size: 7124 pages
% 9.91/3.85
%------------------------------------------------------------------------------