TSTP Solution File: GRP634+4 by Enigma---0.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : GRP634+4 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n013.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 08:39:43 EDT 2022
% Result : Theorem 39.69s 10.28s
% Output : CNFRefutation 39.69s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 41
% Syntax : Number of clauses : 124 ( 41 unt; 61 nHn; 124 RR)
% Number of literals : 485 ( 27 equ; 302 neg)
% Maximal clause size : 13 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 16 ( 14 usr; 1 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 2 con; 0-2 aty)
% Number of variables : 104 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_6890,plain,
( v3_struct_0(X1)
| v1_group_3(k10_group_5(X1),X1)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-b3pwut98/lgb.p',i_0_6890) ).
cnf(i_0_4545,negated_conjecture,
v3_group_1(esk672_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-b3pwut98/lgb.p',i_0_4545) ).
cnf(i_0_4544,negated_conjecture,
v4_group_1(esk672_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-b3pwut98/lgb.p',i_0_4544) ).
cnf(i_0_4543,negated_conjecture,
l1_group_1(esk672_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-b3pwut98/lgb.p',i_0_4543) ).
cnf(i_0_4547,negated_conjecture,
~ v3_struct_0(esk672_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-b3pwut98/lgb.p',i_0_4547) ).
cnf(i_0_6928,plain,
( k10_group_5(X1) = X1
| v3_struct_0(X1)
| ~ l1_group_1(X1)
| ~ v1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v7_group_1(X1)
| ~ v3_group_1(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-b3pwut98/lgb.p',i_0_6928) ).
cnf(i_0_4539,negated_conjecture,
v7_group_1(esk672_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-b3pwut98/lgb.p',i_0_4539) ).
cnf(i_0_4546,negated_conjecture,
v1_group_1(esk672_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-b3pwut98/lgb.p',i_0_4546) ).
cnf(i_0_724,plain,
( k4_autgroup(X1) = u1_struct_0(X2)
| v3_struct_0(X1)
| X2 != k5_autgroup(X1)
| ~ l1_group_1(X1)
| ~ v1_group_1(X1)
| ~ v1_group_1(X2)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ m1_group_2(X2,k3_autgroup(X1))
| ~ v1_group_3(X2,k3_autgroup(X1)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-b3pwut98/lgb.p',i_0_724) ).
cnf(i_0_1021,plain,
( v3_struct_0(X1)
| v1_group_1(k5_autgroup(X1))
| ~ l1_group_1(X1)
| ~ v1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-b3pwut98/lgb.p',i_0_1021) ).
cnf(i_0_1019,plain,
( v3_struct_0(X1)
| m1_group_2(k5_autgroup(X1),k3_autgroup(X1))
| ~ l1_group_1(X1)
| ~ v1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-b3pwut98/lgb.p',i_0_1019) ).
cnf(i_0_1020,plain,
( v3_struct_0(X1)
| v1_group_3(k5_autgroup(X1),k3_autgroup(X1))
| ~ l1_group_1(X1)
| ~ v1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-b3pwut98/lgb.p',i_0_1020) ).
cnf(i_0_1009,plain,
( v3_struct_0(X1)
| m1_fraenkel(k4_autgroup(X1),u1_struct_0(X1),u1_struct_0(X1))
| ~ l1_group_1(X1)
| ~ v1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-b3pwut98/lgb.p',i_0_1009) ).
cnf(i_0_6066,plain,
( v3_struct_0(X1)
| m1_group_2(X1,X1)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-b3pwut98/lgb.p',i_0_6066) ).
cnf(i_0_430,plain,
( v1_xboole_0(u1_struct_0(X1))
| ~ v3_struct_0(X1)
| ~ l1_struct_0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-b3pwut98/lgb.p',i_0_430) ).
cnf(i_0_1089,plain,
( l1_struct_0(X1)
| ~ l1_group_1(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-b3pwut98/lgb.p',i_0_1089) ).
cnf(i_0_1100,plain,
( ~ v1_xboole_0(X1)
| ~ m1_fraenkel(X1,X2,X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-b3pwut98/lgb.p',i_0_1100) ).
cnf(i_0_4497,plain,
( v3_struct_0(X1)
| r2_group_6(k5_autgroup(X1),k6_group_6(X1,k10_group_5(X1)))
| ~ l1_group_1(X1)
| ~ v1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-b3pwut98/lgb.p',i_0_4497) ).
cnf(i_0_1381,plain,
( v3_struct_0(X1)
| v3_group_1(k6_group_6(X1,X2))
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ m1_group_2(X2,X1)
| ~ v1_group_3(X2,X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-b3pwut98/lgb.p',i_0_1381) ).
cnf(i_0_1380,plain,
( v3_struct_0(X1)
| v4_group_1(k6_group_6(X1,X2))
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ m1_group_2(X2,X1)
| ~ v1_group_3(X2,X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-b3pwut98/lgb.p',i_0_1380) ).
cnf(i_0_1383,plain,
( v3_struct_0(X1)
| v1_group_1(k6_group_6(X1,X2))
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ m1_group_2(X2,X1)
| ~ v1_group_3(X2,X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-b3pwut98/lgb.p',i_0_1383) ).
cnf(i_0_1044,plain,
( v3_struct_0(X1)
| l1_group_1(k6_group_6(X1,X2))
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ m1_group_2(X2,X1)
| ~ v1_group_3(X2,X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-b3pwut98/lgb.p',i_0_1044) ).
cnf(i_0_998,plain,
( v3_struct_0(X1)
| v3_group_1(k3_autgroup(X1))
| ~ l1_group_1(X1)
| ~ v1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-b3pwut98/lgb.p',i_0_998) ).
cnf(i_0_996,plain,
( v3_struct_0(X1)
| l1_group_1(k3_autgroup(X1))
| ~ l1_group_1(X1)
| ~ v1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-b3pwut98/lgb.p',i_0_996) ).
cnf(i_0_997,plain,
( v3_struct_0(X1)
| v4_group_1(k3_autgroup(X1))
| ~ l1_group_1(X1)
| ~ v1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-b3pwut98/lgb.p',i_0_997) ).
cnf(i_0_884,plain,
( g1_group_1(u1_struct_0(X1),u1_group_1(X1)) = k6_group_2(X1)
| v3_struct_0(X1)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-b3pwut98/lgb.p',i_0_884) ).
cnf(i_0_866,plain,
( X1 = X2
| ~ l1_struct_0(X3)
| ~ v3_realset2(X3)
| ~ m1_subset_1(X2,u1_struct_0(X3))
| ~ m1_subset_1(X1,u1_struct_0(X3)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-b3pwut98/lgb.p',i_0_866) ).
cnf(i_0_4537,negated_conjecture,
m1_subset_1(esk673_0,u1_struct_0(k5_autgroup(esk672_0))),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-b3pwut98/lgb.p',i_0_4537) ).
cnf(i_0_2155,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| r2_group_6(X1,X2)
| ~ l1_group_1(X1)
| ~ l1_group_1(X2)
| ~ v1_group_1(X1)
| ~ v1_group_1(X2)
| ~ v4_group_1(X1)
| ~ v4_group_1(X2)
| ~ v3_group_1(X1)
| ~ v3_group_1(X2)
| ~ r2_group_6(X2,X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-b3pwut98/lgb.p',i_0_2155) ).
cnf(i_0_1102,plain,
( v3_struct_0(X1)
| v3_group_1(X2)
| ~ l1_group_1(X1)
| ~ v3_group_1(X1)
| ~ m1_group_2(X2,X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-b3pwut98/lgb.p',i_0_1102) ).
cnf(i_0_1101,plain,
( l1_group_1(X1)
| v3_struct_0(X2)
| ~ l1_group_1(X2)
| ~ v3_group_1(X2)
| ~ m1_group_2(X1,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-b3pwut98/lgb.p',i_0_1101) ).
cnf(i_0_36,plain,
( v3_struct_0(X1)
| v4_group_1(X2)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ m1_group_2(X2,X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-b3pwut98/lgb.p',i_0_36) ).
cnf(i_0_6719,plain,
( v3_struct_0(X1)
| v3_realset2(k6_group_6(X1,k6_group_2(X1)))
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-b3pwut98/lgb.p',i_0_6719) ).
cnf(i_0_2,plain,
( g1_group_1(u1_struct_0(X1),u1_group_1(X1)) = X1
| ~ l1_group_1(X1)
| ~ v1_group_1(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-b3pwut98/lgb.p',i_0_2) ).
cnf(i_0_1103,plain,
( v3_struct_0(X1)
| ~ l1_group_1(X1)
| ~ v3_struct_0(X2)
| ~ v3_group_1(X1)
| ~ m1_group_2(X2,X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-b3pwut98/lgb.p',i_0_1103) ).
cnf(i_0_3635,plain,
( k2_group_1(k20_monoid_0(u1_struct_0(X1))) = k2_group_1(k5_autgroup(X1))
| v3_struct_0(X1)
| ~ l1_group_1(X1)
| ~ v1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-b3pwut98/lgb.p',i_0_3635) ).
cnf(i_0_6763,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| v3_realset2(X1)
| ~ l1_group_1(X1)
| ~ l1_group_1(X2)
| ~ v1_group_1(X1)
| ~ v1_group_1(X2)
| ~ v4_group_1(X1)
| ~ v4_group_1(X2)
| ~ v3_group_1(X1)
| ~ v3_group_1(X2)
| ~ v3_realset2(X2)
| ~ r2_group_6(X2,X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-b3pwut98/lgb.p',i_0_6763) ).
cnf(i_0_986,plain,
( v3_struct_0(X1)
| m1_subset_1(k2_group_1(X1),u1_struct_0(X1))
| ~ l1_group_1(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-b3pwut98/lgb.p',i_0_986) ).
cnf(i_0_4536,negated_conjecture,
k2_group_1(k5_autgroup(esk672_0)) != esk673_0,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-b3pwut98/lgb.p',i_0_4536) ).
cnf(i_0_1000,plain,
( v3_struct_0(X1)
| ~ l1_group_1(X1)
| ~ v1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ v3_struct_0(k3_autgroup(X1)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-b3pwut98/lgb.p',i_0_1000) ).
cnf(i_0_1384,plain,
( v3_struct_0(X1)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ m1_group_2(X2,X1)
| ~ v1_group_3(X2,X1)
| ~ v3_struct_0(k6_group_6(X1,X2)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-b3pwut98/lgb.p',i_0_1384) ).
cnf(c_0_6970,plain,
( v3_struct_0(X1)
| v1_group_3(k10_group_5(X1),X1)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1) ),
i_0_6890 ).
cnf(c_0_6971,negated_conjecture,
v3_group_1(esk672_0),
i_0_4545 ).
cnf(c_0_6972,negated_conjecture,
v4_group_1(esk672_0),
i_0_4544 ).
cnf(c_0_6973,negated_conjecture,
l1_group_1(esk672_0),
i_0_4543 ).
cnf(c_0_6974,negated_conjecture,
~ v3_struct_0(esk672_0),
i_0_4547 ).
cnf(c_0_6975,plain,
( k10_group_5(X1) = X1
| v3_struct_0(X1)
| ~ l1_group_1(X1)
| ~ v1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v7_group_1(X1)
| ~ v3_group_1(X1) ),
i_0_6928 ).
cnf(c_0_6976,negated_conjecture,
v7_group_1(esk672_0),
i_0_4539 ).
cnf(c_0_6977,negated_conjecture,
v1_group_1(esk672_0),
i_0_4546 ).
cnf(c_0_6978,plain,
( k4_autgroup(X1) = u1_struct_0(X2)
| v3_struct_0(X1)
| X2 != k5_autgroup(X1)
| ~ l1_group_1(X1)
| ~ v1_group_1(X1)
| ~ v1_group_1(X2)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ m1_group_2(X2,k3_autgroup(X1))
| ~ v1_group_3(X2,k3_autgroup(X1)) ),
i_0_724 ).
cnf(c_0_6979,plain,
( v3_struct_0(X1)
| v1_group_1(k5_autgroup(X1))
| ~ l1_group_1(X1)
| ~ v1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1) ),
i_0_1021 ).
cnf(c_0_6980,plain,
( v3_struct_0(X1)
| m1_group_2(k5_autgroup(X1),k3_autgroup(X1))
| ~ l1_group_1(X1)
| ~ v1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1) ),
i_0_1019 ).
cnf(c_0_6981,plain,
( v3_struct_0(X1)
| v1_group_3(k5_autgroup(X1),k3_autgroup(X1))
| ~ l1_group_1(X1)
| ~ v1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1) ),
i_0_1020 ).
cnf(c_0_6982,plain,
( v3_struct_0(X1)
| m1_fraenkel(k4_autgroup(X1),u1_struct_0(X1),u1_struct_0(X1))
| ~ l1_group_1(X1)
| ~ v1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1) ),
i_0_1009 ).
cnf(c_0_6983,negated_conjecture,
v1_group_3(k10_group_5(esk672_0),esk672_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6970,c_0_6971]),c_0_6972]),c_0_6973])]),c_0_6974]) ).
cnf(c_0_6984,negated_conjecture,
k10_group_5(esk672_0) = esk672_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(spm,[status(thm)],[c_0_6975,c_0_6976]),c_0_6971]),c_0_6972]),c_0_6977]),c_0_6973])]),c_0_6974]) ).
cnf(c_0_6985,plain,
( v3_struct_0(X1)
| m1_group_2(X1,X1)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1) ),
i_0_6066 ).
cnf(c_0_6986,plain,
( v1_xboole_0(u1_struct_0(X1))
| ~ v3_struct_0(X1)
| ~ l1_struct_0(X1) ),
i_0_430 ).
cnf(c_0_6987,plain,
( l1_struct_0(X1)
| ~ l1_group_1(X1) ),
i_0_1089 ).
cnf(c_0_6988,plain,
( u1_struct_0(k5_autgroup(X1)) = k4_autgroup(X1)
| v3_struct_0(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ v1_group_1(X1)
| ~ l1_group_1(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_6978]),c_0_6979]),c_0_6980]),c_0_6981]) ).
cnf(c_0_6989,plain,
( ~ v1_xboole_0(X1)
| ~ m1_fraenkel(X1,X2,X3) ),
i_0_1100 ).
cnf(c_0_6990,negated_conjecture,
m1_fraenkel(k4_autgroup(esk672_0),u1_struct_0(esk672_0),u1_struct_0(esk672_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_6982,c_0_6971]),c_0_6972]),c_0_6977]),c_0_6973])]),c_0_6974]) ).
cnf(c_0_6991,plain,
( v3_struct_0(X1)
| r2_group_6(k5_autgroup(X1),k6_group_6(X1,k10_group_5(X1)))
| ~ l1_group_1(X1)
| ~ v1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1) ),
i_0_4497 ).
cnf(c_0_6992,plain,
( v3_struct_0(X1)
| v3_group_1(k6_group_6(X1,X2))
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ m1_group_2(X2,X1)
| ~ v1_group_3(X2,X1) ),
i_0_1381 ).
cnf(c_0_6993,negated_conjecture,
v1_group_3(esk672_0,esk672_0),
inference(rw,[status(thm)],[c_0_6983,c_0_6984]) ).
cnf(c_0_6994,negated_conjecture,
m1_group_2(esk672_0,esk672_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6985,c_0_6971]),c_0_6972]),c_0_6973])]),c_0_6974]) ).
cnf(c_0_6995,plain,
( v3_struct_0(X1)
| v4_group_1(k6_group_6(X1,X2))
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ m1_group_2(X2,X1)
| ~ v1_group_3(X2,X1) ),
i_0_1380 ).
cnf(c_0_6996,plain,
( v3_struct_0(X1)
| v1_group_1(k6_group_6(X1,X2))
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ m1_group_2(X2,X1)
| ~ v1_group_3(X2,X1) ),
i_0_1383 ).
cnf(c_0_6997,plain,
( v3_struct_0(X1)
| l1_group_1(k6_group_6(X1,X2))
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ m1_group_2(X2,X1)
| ~ v1_group_3(X2,X1) ),
i_0_1044 ).
cnf(c_0_6998,plain,
( v1_xboole_0(u1_struct_0(X1))
| ~ l1_group_1(X1)
| ~ v3_struct_0(X1) ),
inference(spm,[status(thm)],[c_0_6986,c_0_6987]) ).
cnf(c_0_6999,negated_conjecture,
u1_struct_0(k5_autgroup(esk672_0)) = k4_autgroup(esk672_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_6988,c_0_6971]),c_0_6972]),c_0_6977]),c_0_6973])]),c_0_6974]) ).
cnf(c_0_7000,plain,
~ v1_xboole_0(k4_autgroup(esk672_0)),
inference(spm,[status(thm)],[c_0_6989,c_0_6990]) ).
cnf(c_0_7001,plain,
( v3_struct_0(X1)
| v3_group_1(k3_autgroup(X1))
| ~ l1_group_1(X1)
| ~ v1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1) ),
i_0_998 ).
cnf(c_0_7002,plain,
( v3_struct_0(X1)
| l1_group_1(k3_autgroup(X1))
| ~ l1_group_1(X1)
| ~ v1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1) ),
i_0_996 ).
cnf(c_0_7003,plain,
( v3_struct_0(X1)
| v4_group_1(k3_autgroup(X1))
| ~ l1_group_1(X1)
| ~ v1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1) ),
i_0_997 ).
cnf(c_0_7004,plain,
( g1_group_1(u1_struct_0(X1),u1_group_1(X1)) = k6_group_2(X1)
| v3_struct_0(X1)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1) ),
i_0_884 ).
cnf(c_0_7005,plain,
( X1 = X2
| ~ l1_struct_0(X3)
| ~ v3_realset2(X3)
| ~ m1_subset_1(X2,u1_struct_0(X3))
| ~ m1_subset_1(X1,u1_struct_0(X3)) ),
i_0_866 ).
cnf(c_0_7006,negated_conjecture,
m1_subset_1(esk673_0,u1_struct_0(k5_autgroup(esk672_0))),
i_0_4537 ).
cnf(c_0_7007,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| r2_group_6(X1,X2)
| ~ l1_group_1(X1)
| ~ l1_group_1(X2)
| ~ v1_group_1(X1)
| ~ v1_group_1(X2)
| ~ v4_group_1(X1)
| ~ v4_group_1(X2)
| ~ v3_group_1(X1)
| ~ v3_group_1(X2)
| ~ r2_group_6(X2,X1) ),
i_0_2155 ).
cnf(c_0_7008,negated_conjecture,
r2_group_6(k5_autgroup(esk672_0),k6_group_6(esk672_0,esk672_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(spm,[status(thm)],[c_0_6991,c_0_6971]),c_0_6984]),c_0_6972]),c_0_6977]),c_0_6973])]),c_0_6974]) ).
cnf(c_0_7009,negated_conjecture,
v3_group_1(k6_group_6(esk672_0,esk672_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(spm,[status(thm)],[c_0_6992,c_0_6993]),c_0_6994]),c_0_6971]),c_0_6972]),c_0_6973])]),c_0_6974]) ).
cnf(c_0_7010,negated_conjecture,
v4_group_1(k6_group_6(esk672_0,esk672_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(spm,[status(thm)],[c_0_6995,c_0_6993]),c_0_6994]),c_0_6971]),c_0_6972]),c_0_6973])]),c_0_6974]) ).
cnf(c_0_7011,negated_conjecture,
v1_group_1(k5_autgroup(esk672_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_6979,c_0_6971]),c_0_6972]),c_0_6977]),c_0_6973])]),c_0_6974]) ).
cnf(c_0_7012,negated_conjecture,
v1_group_1(k6_group_6(esk672_0,esk672_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(spm,[status(thm)],[c_0_6996,c_0_6993]),c_0_6994]),c_0_6971]),c_0_6972]),c_0_6973])]),c_0_6974]) ).
cnf(c_0_7013,negated_conjecture,
l1_group_1(k6_group_6(esk672_0,esk672_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(spm,[status(thm)],[c_0_6997,c_0_6993]),c_0_6994]),c_0_6971]),c_0_6972]),c_0_6973])]),c_0_6974]) ).
cnf(c_0_7014,plain,
( ~ l1_group_1(k5_autgroup(esk672_0))
| ~ v3_struct_0(k5_autgroup(esk672_0)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_6998,c_0_6999]),c_0_7000]) ).
cnf(c_0_7015,plain,
( v3_struct_0(X1)
| v3_group_1(X2)
| ~ l1_group_1(X1)
| ~ v3_group_1(X1)
| ~ m1_group_2(X2,X1) ),
i_0_1102 ).
cnf(c_0_7016,negated_conjecture,
m1_group_2(k5_autgroup(esk672_0),k3_autgroup(esk672_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_6980,c_0_6971]),c_0_6972]),c_0_6977]),c_0_6973])]),c_0_6974]) ).
cnf(c_0_7017,negated_conjecture,
v3_group_1(k3_autgroup(esk672_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_7001,c_0_6971]),c_0_6972]),c_0_6977]),c_0_6973])]),c_0_6974]) ).
cnf(c_0_7018,negated_conjecture,
l1_group_1(k3_autgroup(esk672_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_7002,c_0_6971]),c_0_6972]),c_0_6977]),c_0_6973])]),c_0_6974]) ).
cnf(c_0_7019,plain,
( l1_group_1(X1)
| v3_struct_0(X2)
| ~ l1_group_1(X2)
| ~ v3_group_1(X2)
| ~ m1_group_2(X1,X2) ),
i_0_1101 ).
cnf(c_0_7020,plain,
( v3_struct_0(X1)
| v4_group_1(X2)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ m1_group_2(X2,X1) ),
i_0_36 ).
cnf(c_0_7021,negated_conjecture,
v4_group_1(k3_autgroup(esk672_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_7003,c_0_6971]),c_0_6972]),c_0_6977]),c_0_6973])]),c_0_6974]) ).
cnf(c_0_7022,plain,
( v3_struct_0(X1)
| v3_realset2(k6_group_6(X1,k6_group_2(X1)))
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1) ),
i_0_6719 ).
cnf(c_0_7023,plain,
( g1_group_1(u1_struct_0(X1),u1_group_1(X1)) = X1
| ~ l1_group_1(X1)
| ~ v1_group_1(X1) ),
i_0_2 ).
cnf(c_0_7024,negated_conjecture,
g1_group_1(u1_struct_0(esk672_0),u1_group_1(esk672_0)) = k6_group_2(esk672_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_7004,c_0_6971]),c_0_6972]),c_0_6973])]),c_0_6974]) ).
cnf(c_0_7025,negated_conjecture,
( X1 = esk673_0
| ~ l1_struct_0(k5_autgroup(esk672_0))
| ~ v3_realset2(k5_autgroup(esk672_0))
| ~ m1_subset_1(X1,u1_struct_0(k5_autgroup(esk672_0))) ),
inference(spm,[status(thm)],[c_0_7005,c_0_7006]) ).
cnf(c_0_7026,negated_conjecture,
( r2_group_6(k6_group_6(esk672_0,esk672_0),k5_autgroup(esk672_0))
| v3_struct_0(k6_group_6(esk672_0,esk672_0))
| ~ v3_group_1(k5_autgroup(esk672_0))
| ~ v4_group_1(k5_autgroup(esk672_0))
| ~ l1_group_1(k5_autgroup(esk672_0)) ),
inference(csr,[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_7007,c_0_7008]),c_0_7009]),c_0_7010]),c_0_7011]),c_0_7012]),c_0_7013])]),c_0_7014]) ).
cnf(c_0_7027,plain,
( v3_group_1(k5_autgroup(esk672_0))
| v3_struct_0(k3_autgroup(esk672_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_7015,c_0_7016]),c_0_7017]),c_0_7018])]) ).
cnf(c_0_7028,plain,
( l1_group_1(k5_autgroup(esk672_0))
| v3_struct_0(k3_autgroup(esk672_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_7019,c_0_7016]),c_0_7017]),c_0_7018])]) ).
cnf(c_0_7029,plain,
( v4_group_1(k5_autgroup(esk672_0))
| v3_struct_0(k3_autgroup(esk672_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_7020,c_0_7016]),c_0_7017]),c_0_7021]),c_0_7018])]) ).
cnf(c_0_7030,negated_conjecture,
v3_realset2(k6_group_6(esk672_0,k6_group_2(esk672_0))),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_7022,c_0_6971]),c_0_6972]),c_0_6973])]),c_0_6974]) ).
cnf(c_0_7031,plain,
k6_group_2(esk672_0) = esk672_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_7023,c_0_7024]),c_0_6977]),c_0_6973])]) ).
cnf(c_0_7032,plain,
( v3_struct_0(X1)
| ~ l1_group_1(X1)
| ~ v3_struct_0(X2)
| ~ v3_group_1(X1)
| ~ m1_group_2(X2,X1) ),
i_0_1103 ).
cnf(c_0_7033,plain,
( k2_group_1(k20_monoid_0(u1_struct_0(X1))) = k2_group_1(k5_autgroup(X1))
| v3_struct_0(X1)
| ~ l1_group_1(X1)
| ~ v1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1) ),
i_0_3635 ).
cnf(c_0_7034,plain,
( X1 = esk673_0
| ~ v3_realset2(k5_autgroup(esk672_0))
| ~ l1_group_1(k5_autgroup(esk672_0))
| ~ m1_subset_1(X1,u1_struct_0(k5_autgroup(esk672_0))) ),
inference(spm,[status(thm)],[c_0_7025,c_0_6987]) ).
cnf(c_0_7035,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| v3_realset2(X1)
| ~ l1_group_1(X1)
| ~ l1_group_1(X2)
| ~ v1_group_1(X1)
| ~ v1_group_1(X2)
| ~ v4_group_1(X1)
| ~ v4_group_1(X2)
| ~ v3_group_1(X1)
| ~ v3_group_1(X2)
| ~ v3_realset2(X2)
| ~ r2_group_6(X2,X1) ),
i_0_6763 ).
cnf(c_0_7036,plain,
( r2_group_6(k6_group_6(esk672_0,esk672_0),k5_autgroup(esk672_0))
| v3_struct_0(k6_group_6(esk672_0,esk672_0))
| v3_struct_0(k3_autgroup(esk672_0)) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_7026,c_0_7027]),c_0_7028]),c_0_7029]) ).
cnf(c_0_7037,negated_conjecture,
v3_realset2(k6_group_6(esk672_0,esk672_0)),
inference(rw,[status(thm)],[c_0_7030,c_0_7031]) ).
cnf(c_0_7038,plain,
( v3_struct_0(k3_autgroup(esk672_0))
| ~ v3_struct_0(k5_autgroup(esk672_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_7032,c_0_7016]),c_0_7017]),c_0_7018])]) ).
cnf(c_0_7039,plain,
( v3_struct_0(X1)
| m1_subset_1(k2_group_1(X1),u1_struct_0(X1))
| ~ l1_group_1(X1) ),
i_0_986 ).
cnf(c_0_7040,negated_conjecture,
k2_group_1(k5_autgroup(esk672_0)) = k2_group_1(k20_monoid_0(u1_struct_0(esk672_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_7033,c_0_6971]),c_0_6972]),c_0_6977]),c_0_6973])]),c_0_6974]) ).
cnf(c_0_7041,plain,
( X1 = esk673_0
| ~ v3_realset2(k5_autgroup(esk672_0))
| ~ l1_group_1(k5_autgroup(esk672_0))
| ~ m1_subset_1(X1,k4_autgroup(esk672_0)) ),
inference(rw,[status(thm)],[c_0_7034,c_0_6999]) ).
cnf(c_0_7042,plain,
( v3_realset2(k5_autgroup(esk672_0))
| v3_struct_0(k6_group_6(esk672_0,esk672_0))
| v3_struct_0(k3_autgroup(esk672_0)) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_7035,c_0_7036]),c_0_7037]),c_0_7009]),c_0_7010]),c_0_7012]),c_0_7011]),c_0_7013])]),c_0_7028]),c_0_7029]),c_0_7027]),c_0_7038]) ).
cnf(c_0_7043,plain,
( v3_struct_0(k3_autgroup(esk672_0))
| m1_subset_1(k2_group_1(k20_monoid_0(u1_struct_0(esk672_0))),u1_struct_0(k5_autgroup(esk672_0))) ),
inference(csr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_7039,c_0_7028]),c_0_7040]),c_0_7038]) ).
cnf(c_0_7044,negated_conjecture,
k2_group_1(k5_autgroup(esk672_0)) != esk673_0,
i_0_4536 ).
cnf(c_0_7045,plain,
( X1 = esk673_0
| v3_struct_0(k6_group_6(esk672_0,esk672_0))
| v3_struct_0(k3_autgroup(esk672_0))
| ~ m1_subset_1(X1,k4_autgroup(esk672_0)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_7041,c_0_7042]),c_0_7028]) ).
cnf(c_0_7046,plain,
( v3_struct_0(k3_autgroup(esk672_0))
| m1_subset_1(k2_group_1(k20_monoid_0(u1_struct_0(esk672_0))),k4_autgroup(esk672_0)) ),
inference(rw,[status(thm)],[c_0_7043,c_0_6999]) ).
cnf(c_0_7047,negated_conjecture,
k2_group_1(k20_monoid_0(u1_struct_0(esk672_0))) != esk673_0,
inference(rw,[status(thm)],[c_0_7044,c_0_7040]) ).
cnf(c_0_7048,plain,
( v3_struct_0(X1)
| ~ l1_group_1(X1)
| ~ v1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ v3_struct_0(k3_autgroup(X1)) ),
i_0_1000 ).
cnf(c_0_7049,plain,
( v3_struct_0(k6_group_6(esk672_0,esk672_0))
| v3_struct_0(k3_autgroup(esk672_0)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_7045,c_0_7046]),c_0_7047]) ).
cnf(c_0_7050,plain,
( v3_struct_0(X1)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ m1_group_2(X2,X1)
| ~ v1_group_3(X2,X1)
| ~ v3_struct_0(k6_group_6(X1,X2)) ),
i_0_1384 ).
cnf(c_0_7051,plain,
v3_struct_0(k6_group_6(esk672_0,esk672_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(spm,[status(thm)],[c_0_7048,c_0_7049]),c_0_6971]),c_0_6972]),c_0_6977]),c_0_6973])]),c_0_6974]) ).
cnf(c_0_7052,plain,
$false,
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_7050,c_0_7051]),c_0_6993]),c_0_6994]),c_0_6971]),c_0_6972]),c_0_6973])]),c_0_6974]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GRP634+4 : TPTP v8.1.0. Released v3.4.0.
% 0.11/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.11/0.33 % Computer : n013.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 600
% 0.11/0.33 % DateTime : Mon Jun 13 18:24:35 EDT 2022
% 0.11/0.33 % CPUTime :
% 0.18/0.44 # ENIGMATIC: Selected SinE mode:
% 1.36/1.54 # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.36/1.54 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 1.36/1.54 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 1.36/1.54 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 39.69/10.28 # ENIGMATIC: Solved by autoschedule-lgb:
% 39.69/10.28 # No SInE strategy applied
% 39.69/10.28 # Trying AutoSched0 for 148 seconds
% 39.69/10.28 # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 39.69/10.28 # and selection function SelectComplexExceptUniqMaxHorn.
% 39.69/10.28 #
% 39.69/10.28 # Preprocessing time : 0.048 s
% 39.69/10.28 # Presaturation interreduction done
% 39.69/10.28
% 39.69/10.28 # Proof found!
% 39.69/10.28 # SZS status Theorem
% 39.69/10.28 # SZS output start CNFRefutation
% See solution above
% 39.69/10.28 # Training examples: 0 positive, 0 negative
% 39.69/10.28
% 39.69/10.28 # -------------------------------------------------
% 39.69/10.28 # User time : 3.207 s
% 39.69/10.28 # System time : 0.096 s
% 39.69/10.28 # Total time : 3.303 s
% 39.69/10.28 # Maximum resident set size: 7128 pages
% 39.69/10.28
%------------------------------------------------------------------------------