TSTP Solution File: GRP640+4 by Enigma---0.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : GRP640+4 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n025.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 12.71s 6.05s
% Output : CNFRefutation 12.71s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 15
% Syntax : Number of clauses : 34 ( 20 unt; 14 nHn; 34 RR)
% Number of literals : 128 ( 13 equ; 84 neg)
% Maximal clause size : 10 ( 3 avg)
% Maximal term depth : 4 ( 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_1221,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-v35shy9r/lgb.p',i_0_1221) ).
cnf(i_0_4509,plain,
( v3_struct_0(X1)
| r1_group_2(X1,k8_group_4(X1,X2,X3),k5_group_4(X1,X4))
| X4 != k3_tarski(k2_tarski(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-v35shy9r/lgb.p',i_0_4509) ).
cnf(i_0_655,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-v35shy9r/lgb.p',i_0_655) ).
cnf(i_0_682,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-v35shy9r/lgb.p',i_0_682) ).
cnf(i_0_656,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-v35shy9r/lgb.p',i_0_656) ).
cnf(i_0_683,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-v35shy9r/lgb.p',i_0_683) ).
cnf(i_0_1688,negated_conjecture,
k3_tarski(k2_tarski(u1_struct_0(esk304_0),u1_struct_0(esk305_0))) = esk307_0,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-v35shy9r/lgb.p',i_0_1688) ).
cnf(i_0_1689,negated_conjecture,
m1_subset_1(esk307_0,k1_zfmisc_1(u1_struct_0(esk302_0))),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-v35shy9r/lgb.p',i_0_1689) ).
cnf(i_0_1700,negated_conjecture,
v4_group_1(esk302_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-v35shy9r/lgb.p',i_0_1700) ).
cnf(i_0_1701,negated_conjecture,
v3_group_1(esk302_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-v35shy9r/lgb.p',i_0_1701) ).
cnf(i_0_1699,negated_conjecture,
l1_group_1(esk302_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-v35shy9r/lgb.p',i_0_1699) ).
cnf(i_0_1693,negated_conjecture,
m1_group_2(esk305_0,esk302_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-v35shy9r/lgb.p',i_0_1693) ).
cnf(i_0_1694,negated_conjecture,
m1_group_2(esk304_0,esk302_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-v35shy9r/lgb.p',i_0_1694) ).
cnf(i_0_1702,negated_conjecture,
~ v3_struct_0(esk302_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-v35shy9r/lgb.p',i_0_1702) ).
cnf(i_0_1687,negated_conjecture,
k2_funct_2(u1_struct_0(esk302_0),u1_struct_0(esk303_0),esk306_0,u1_struct_0(k8_group_4(esk302_0,esk304_0,esk305_0))) != k2_funct_2(u1_struct_0(esk302_0),u1_struct_0(esk303_0),esk306_0,u1_struct_0(k5_group_4(esk302_0,esk307_0))),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-v35shy9r/lgb.p',i_0_1687) ).
cnf(c_0_4525,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_1221 ).
cnf(c_0_4526,plain,
( v3_struct_0(X1)
| r1_group_2(X1,k8_group_4(X1,X2,X3),k5_group_4(X1,X4))
| X4 != k3_tarski(k2_tarski(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_4509 ).
cnf(c_0_4527,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_655 ).
cnf(c_0_4528,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_682 ).
cnf(c_0_4529,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_656 ).
cnf(c_0_4530,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_683 ).
cnf(c_0_4531,plain,
( k8_group_4(X1,X2,X3) = k5_group_4(X1,X4)
| v3_struct_0(X1)
| X4 != k3_tarski(k2_tarski(u1_struct_0(X2),u1_struct_0(X3)))
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ l1_group_1(X1)
| ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X1)))
| ~ m1_group_2(X3,X1)
| ~ m1_group_2(X2,X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_4525,c_0_4526]),c_0_4527]),c_0_4528]),c_0_4529]),c_0_4530]) ).
cnf(c_0_4532,negated_conjecture,
k3_tarski(k2_tarski(u1_struct_0(esk304_0),u1_struct_0(esk305_0))) = esk307_0,
i_0_1688 ).
cnf(c_0_4533,negated_conjecture,
( k8_group_4(X1,esk304_0,esk305_0) = k5_group_4(X1,X2)
| v3_struct_0(X1)
| X2 != esk307_0
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ l1_group_1(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ m1_group_2(esk305_0,X1)
| ~ m1_group_2(esk304_0,X1) ),
inference(spm,[status(thm)],[c_0_4531,c_0_4532]) ).
cnf(c_0_4534,negated_conjecture,
m1_subset_1(esk307_0,k1_zfmisc_1(u1_struct_0(esk302_0))),
i_0_1689 ).
cnf(c_0_4535,negated_conjecture,
v4_group_1(esk302_0),
i_0_1700 ).
cnf(c_0_4536,negated_conjecture,
v3_group_1(esk302_0),
i_0_1701 ).
cnf(c_0_4537,negated_conjecture,
l1_group_1(esk302_0),
i_0_1699 ).
cnf(c_0_4538,negated_conjecture,
m1_group_2(esk305_0,esk302_0),
i_0_1693 ).
cnf(c_0_4539,negated_conjecture,
m1_group_2(esk304_0,esk302_0),
i_0_1694 ).
cnf(c_0_4540,negated_conjecture,
~ v3_struct_0(esk302_0),
i_0_1702 ).
cnf(c_0_4541,negated_conjecture,
k2_funct_2(u1_struct_0(esk302_0),u1_struct_0(esk303_0),esk306_0,u1_struct_0(k8_group_4(esk302_0,esk304_0,esk305_0))) != k2_funct_2(u1_struct_0(esk302_0),u1_struct_0(esk303_0),esk306_0,u1_struct_0(k5_group_4(esk302_0,esk307_0))),
i_0_1687 ).
cnf(c_0_4542,negated_conjecture,
k8_group_4(esk302_0,esk304_0,esk305_0) = k5_group_4(esk302_0,esk307_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_4533,c_0_4534]),c_0_4535]),c_0_4536]),c_0_4537]),c_0_4538]),c_0_4539])]),c_0_4540]) ).
cnf(c_0_4543,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_4541,c_0_4542])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : GRP640+4 : TPTP v8.1.0. Released v3.4.0.
% 0.12/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.33 % Computer : n025.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 14 00:25:46 EDT 2022
% 0.18/0.33 % CPUTime :
% 0.18/0.44 # ENIGMATIC: Selected SinE mode:
% 1.45/1.68 # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.45/1.68 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 1.45/1.68 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 1.45/1.68 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 12.71/6.05 # ENIGMATIC: Solved by autoschedule-lgb:
% 12.71/6.05 # No SInE strategy applied
% 12.71/6.05 # Trying AutoSched0 for 149 seconds
% 12.71/6.05 # AutoSched0-Mode selected heuristic G_E___302_C18_F1_URBAN_S0Y
% 12.71/6.05 # and selection function SelectMaxLComplexAvoidPosPred.
% 12.71/6.05 #
% 12.71/6.05 # Preprocessing time : 0.031 s
% 12.71/6.05
% 12.71/6.05 # Proof found!
% 12.71/6.05 # SZS status Theorem
% 12.71/6.05 # SZS output start CNFRefutation
% See solution above
% 12.71/6.05 # Training examples: 0 positive, 0 negative
% 12.71/6.05
% 12.71/6.05 # -------------------------------------------------
% 12.71/6.05 # User time : 0.037 s
% 12.71/6.05 # System time : 0.007 s
% 12.71/6.05 # Total time : 0.044 s
% 12.71/6.05 # Maximum resident set size: 7120 pages
% 12.71/6.05
%------------------------------------------------------------------------------