TSTP Solution File: GRP622+1 by Enigma---0.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : GRP622+1 : TPTP v8.1.0. Released v3.4.0.
% 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 : Sat Jul 16 08:39:32 EDT 2022
% Result : Theorem 9.24s 2.56s
% Output : CNFRefutation 9.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 18
% Syntax : Number of clauses : 49 ( 16 unt; 15 nHn; 44 RR)
% Number of literals : 115 ( 2 equ; 56 neg)
% Maximal clause size : 6 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 17 ( 15 usr; 1 prp; 0-4 aty)
% Number of functors : 6 ( 6 usr; 1 con; 0-2 aty)
% Number of variables : 68 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_63,plain,
( v3_struct_0(X1)
| ~ l1_struct_0(X1)
| ~ v1_xboole_0(u1_struct_0(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6i7x9ulr/input.p',i_0_63) ).
cnf(i_0_38,plain,
( l1_struct_0(X1)
| ~ l1_group_1(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6i7x9ulr/input.p',i_0_38) ).
cnf(i_0_37,plain,
( v3_struct_0(X1)
| m1_fraenkel(k4_autgroup(X1),u1_struct_0(X1),u1_struct_0(X1))
| ~ v1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6i7x9ulr/input.p',i_0_37) ).
cnf(i_0_2,negated_conjecture,
l1_group_1(esk1_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6i7x9ulr/input.p',i_0_2) ).
cnf(i_0_3,negated_conjecture,
v4_group_1(esk1_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6i7x9ulr/input.p',i_0_3) ).
cnf(i_0_4,negated_conjecture,
v3_group_1(esk1_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6i7x9ulr/input.p',i_0_4) ).
cnf(i_0_5,negated_conjecture,
v1_group_1(esk1_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6i7x9ulr/input.p',i_0_5) ).
cnf(i_0_6,negated_conjecture,
~ v3_struct_0(esk1_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6i7x9ulr/input.p',i_0_6) ).
cnf(i_0_107,plain,
( v1_xboole_0(X1)
| m2_fraenkel(X2,X3,X1,X4)
| ~ m1_subset_1(X2,X4)
| ~ m1_fraenkel(X4,X3,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6i7x9ulr/input.p',i_0_107) ).
cnf(i_0_27,plain,
( r1_tarski(X1,X2)
| ~ r2_hidden(esk2_2(X1,X2),X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6i7x9ulr/input.p',i_0_27) ).
cnf(i_0_112,plain,
( r2_hidden(X1,k1_funct_2(X2,X2))
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,X2,X2)
| ~ m2_relset_1(X1,X2,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6i7x9ulr/input.p',i_0_112) ).
cnf(i_0_44,plain,
( v1_xboole_0(X1)
| m2_relset_1(X2,X3,X1)
| ~ m1_fraenkel(X4,X3,X1)
| ~ m2_fraenkel(X2,X3,X1,X4) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6i7x9ulr/input.p',i_0_44) ).
cnf(i_0_46,plain,
( v1_funct_1(X1)
| v1_xboole_0(X2)
| ~ m1_fraenkel(X3,X4,X2)
| ~ m2_fraenkel(X1,X4,X2,X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6i7x9ulr/input.p',i_0_46) ).
cnf(i_0_45,plain,
( v1_xboole_0(X1)
| v1_funct_2(X2,X3,X1)
| ~ m1_fraenkel(X4,X3,X1)
| ~ m2_fraenkel(X2,X3,X1,X4) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6i7x9ulr/input.p',i_0_45) ).
cnf(i_0_113,plain,
( m1_subset_1(X1,X2)
| ~ r2_hidden(X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6i7x9ulr/input.p',i_0_113) ).
cnf(i_0_28,plain,
( r1_tarski(X1,X2)
| r2_hidden(esk2_2(X1,X2),X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6i7x9ulr/input.p',i_0_28) ).
cnf(i_0_1,negated_conjecture,
~ r1_tarski(k4_autgroup(esk1_0),k1_fraenkel(u1_struct_0(esk1_0),u1_struct_0(esk1_0))),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6i7x9ulr/input.p',i_0_1) ).
cnf(i_0_106,plain,
( k1_fraenkel(X1,X2) = k1_funct_2(X1,X2)
| v1_xboole_0(X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6i7x9ulr/input.p',i_0_106) ).
cnf(c_0_132,plain,
( v3_struct_0(X1)
| ~ l1_struct_0(X1)
| ~ v1_xboole_0(u1_struct_0(X1)) ),
i_0_63 ).
cnf(c_0_133,plain,
( l1_struct_0(X1)
| ~ l1_group_1(X1) ),
i_0_38 ).
cnf(c_0_134,plain,
( v3_struct_0(X1)
| m1_fraenkel(k4_autgroup(X1),u1_struct_0(X1),u1_struct_0(X1))
| ~ v1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1) ),
i_0_37 ).
cnf(c_0_135,negated_conjecture,
l1_group_1(esk1_0),
i_0_2 ).
cnf(c_0_136,negated_conjecture,
v4_group_1(esk1_0),
i_0_3 ).
cnf(c_0_137,negated_conjecture,
v3_group_1(esk1_0),
i_0_4 ).
cnf(c_0_138,negated_conjecture,
v1_group_1(esk1_0),
i_0_5 ).
cnf(c_0_139,negated_conjecture,
~ v3_struct_0(esk1_0),
i_0_6 ).
cnf(c_0_140,plain,
( v3_struct_0(X1)
| ~ v1_xboole_0(u1_struct_0(X1))
| ~ l1_group_1(X1) ),
inference(spm,[status(thm)],[c_0_132,c_0_133]) ).
cnf(c_0_141,plain,
( v1_xboole_0(X1)
| m2_fraenkel(X2,X3,X1,X4)
| ~ m1_subset_1(X2,X4)
| ~ m1_fraenkel(X4,X3,X1) ),
i_0_107 ).
cnf(c_0_142,negated_conjecture,
m1_fraenkel(k4_autgroup(esk1_0),u1_struct_0(esk1_0),u1_struct_0(esk1_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_134,c_0_135]),c_0_136]),c_0_137]),c_0_138])]),c_0_139]) ).
cnf(c_0_143,negated_conjecture,
~ v1_xboole_0(u1_struct_0(esk1_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_139,c_0_140]),c_0_135])]) ).
cnf(c_0_144,plain,
( r1_tarski(X1,X2)
| ~ r2_hidden(esk2_2(X1,X2),X2) ),
i_0_27 ).
cnf(c_0_145,plain,
( r2_hidden(X1,k1_funct_2(X2,X2))
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,X2,X2)
| ~ m2_relset_1(X1,X2,X2) ),
i_0_112 ).
cnf(c_0_146,plain,
( v1_xboole_0(X1)
| m2_relset_1(X2,X3,X1)
| ~ m1_fraenkel(X4,X3,X1)
| ~ m2_fraenkel(X2,X3,X1,X4) ),
i_0_44 ).
cnf(c_0_147,plain,
( m2_fraenkel(X1,u1_struct_0(esk1_0),u1_struct_0(esk1_0),k4_autgroup(esk1_0))
| ~ m1_subset_1(X1,k4_autgroup(esk1_0)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_141,c_0_142]),c_0_143]) ).
cnf(c_0_148,plain,
( v1_funct_1(X1)
| v1_xboole_0(X2)
| ~ m1_fraenkel(X3,X4,X2)
| ~ m2_fraenkel(X1,X4,X2,X3) ),
i_0_46 ).
cnf(c_0_149,plain,
( v1_xboole_0(X1)
| v1_funct_2(X2,X3,X1)
| ~ m1_fraenkel(X4,X3,X1)
| ~ m2_fraenkel(X2,X3,X1,X4) ),
i_0_45 ).
cnf(c_0_150,plain,
( r1_tarski(X1,k1_funct_2(X2,X2))
| ~ m2_relset_1(esk2_2(X1,k1_funct_2(X2,X2)),X2,X2)
| ~ v1_funct_2(esk2_2(X1,k1_funct_2(X2,X2)),X2,X2)
| ~ v1_funct_1(esk2_2(X1,k1_funct_2(X2,X2))) ),
inference(spm,[status(thm)],[c_0_144,c_0_145]) ).
cnf(c_0_151,plain,
( m2_relset_1(X1,u1_struct_0(esk1_0),u1_struct_0(esk1_0))
| ~ m1_subset_1(X1,k4_autgroup(esk1_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_146,c_0_147]),c_0_142])]),c_0_143]) ).
cnf(c_0_152,plain,
( v1_funct_1(X1)
| ~ m1_subset_1(X1,k4_autgroup(esk1_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_148,c_0_147]),c_0_142])]),c_0_143]) ).
cnf(c_0_153,plain,
( v1_funct_2(X1,u1_struct_0(esk1_0),u1_struct_0(esk1_0))
| ~ m1_subset_1(X1,k4_autgroup(esk1_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_149,c_0_147]),c_0_142])]),c_0_143]) ).
cnf(c_0_154,plain,
( m1_subset_1(X1,X2)
| ~ r2_hidden(X1,X2) ),
i_0_113 ).
cnf(c_0_155,plain,
( r1_tarski(X1,X2)
| r2_hidden(esk2_2(X1,X2),X1) ),
i_0_28 ).
cnf(c_0_156,negated_conjecture,
~ r1_tarski(k4_autgroup(esk1_0),k1_fraenkel(u1_struct_0(esk1_0),u1_struct_0(esk1_0))),
i_0_1 ).
cnf(c_0_157,plain,
( k1_fraenkel(X1,X2) = k1_funct_2(X1,X2)
| v1_xboole_0(X2) ),
i_0_106 ).
cnf(c_0_158,plain,
( r1_tarski(X1,k1_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk1_0)))
| ~ m1_subset_1(esk2_2(X1,k1_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk1_0))),k4_autgroup(esk1_0)) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_150,c_0_151]),c_0_152]),c_0_153]) ).
cnf(c_0_159,plain,
( m1_subset_1(esk2_2(X1,X2),X1)
| r1_tarski(X1,X2) ),
inference(spm,[status(thm)],[c_0_154,c_0_155]) ).
cnf(c_0_160,negated_conjecture,
( v1_xboole_0(u1_struct_0(esk1_0))
| ~ r1_tarski(k4_autgroup(esk1_0),k1_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk1_0))) ),
inference(spm,[status(thm)],[c_0_156,c_0_157]) ).
cnf(c_0_161,plain,
r1_tarski(k4_autgroup(esk1_0),k1_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk1_0))),
inference(spm,[status(thm)],[c_0_158,c_0_159]) ).
cnf(c_0_162,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_160,c_0_161])]),c_0_143]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : GRP622+1 : TPTP v8.1.0. Released v3.4.0.
% 0.04/0.14 % Command : enigmatic-eprover.py %s %d 1
% 0.13/0.35 % Computer : n026.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Tue Jun 14 05:00:38 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.47 # ENIGMATIC: Selected complete mode:
% 9.24/2.56 # ENIGMATIC: Solved by autoschedule:
% 9.24/2.56 # No SInE strategy applied
% 9.24/2.56 # Trying AutoSched0 for 150 seconds
% 9.24/2.56 # AutoSched0-Mode selected heuristic G_E___207_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S04AN
% 9.24/2.56 # and selection function SelectComplexExceptUniqMaxHorn.
% 9.24/2.56 #
% 9.24/2.56 # Preprocessing time : 0.023 s
% 9.24/2.56 # Presaturation interreduction done
% 9.24/2.56
% 9.24/2.56 # Proof found!
% 9.24/2.56 # SZS status Theorem
% 9.24/2.56 # SZS output start CNFRefutation
% See solution above
% 9.24/2.56 # Training examples: 0 positive, 0 negative
% 9.24/2.56
% 9.24/2.56 # -------------------------------------------------
% 9.24/2.56 # User time : 0.116 s
% 9.24/2.56 # System time : 0.010 s
% 9.24/2.56 # Total time : 0.126 s
% 9.24/2.56 # Maximum resident set size: 7120 pages
% 9.24/2.56
%------------------------------------------------------------------------------