TSTP Solution File: ALG216+1 by Enigma---0.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : ALG216+1 : 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 : Thu Jul 14 15:33:02 EDT 2022
% Result : Theorem 8.47s 2.52s
% Output : CNFRefutation 8.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 27
% Syntax : Number of clauses : 64 ( 42 unt; 8 nHn; 64 RR)
% Number of literals : 206 ( 12 equ; 137 neg)
% Maximal clause size : 22 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 19 ( 17 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-3 aty)
% Number of variables : 36 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_85,plain,
( k2_group_1(X1) = k1_rlvect_1(X1)
| v3_struct_0(X1)
| v3_struct_0(X2)
| X3 != k1_rlvect_1(X2)
| ~ v3_rlvect_1(X1)
| ~ v3_rlvect_1(X2)
| ~ v4_rlvect_1(X1)
| ~ v4_rlvect_1(X2)
| ~ v5_rlvect_1(X1)
| ~ v5_rlvect_1(X2)
| ~ v6_rlvect_1(X1)
| ~ v6_rlvect_1(X2)
| ~ v4_group_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| ~ l3_vectsp_1(X1)
| ~ v5_vectsp_2(X2,X1)
| ~ l1_vectsp_2(X2,X1)
| ~ m1_subset_1(X4,u1_struct_0(X2))
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ v1_rmod_5(k8_rlvect_2(X2,X3,X4),X1,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-z5_ue176/input.p',i_0_85) ).
cnf(i_0_84,plain,
( k2_group_1(X1) = k1_rlvect_1(X1)
| v3_struct_0(X1)
| v3_struct_0(X2)
| X3 != k1_rlvect_1(X2)
| ~ v3_rlvect_1(X1)
| ~ v3_rlvect_1(X2)
| ~ v4_rlvect_1(X1)
| ~ v4_rlvect_1(X2)
| ~ v5_rlvect_1(X1)
| ~ v5_rlvect_1(X2)
| ~ v6_rlvect_1(X1)
| ~ v6_rlvect_1(X2)
| ~ v4_group_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| ~ l3_vectsp_1(X1)
| ~ v5_vectsp_2(X2,X1)
| ~ l1_vectsp_2(X2,X1)
| ~ m1_subset_1(X4,u1_struct_0(X2))
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ v1_rmod_5(k8_rlvect_2(X2,X4,X3),X1,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-z5_ue176/input.p',i_0_84) ).
cnf(i_0_1,negated_conjecture,
( v1_rmod_5(k8_rlvect_2(esk2_0,esk3_0,k1_rlvect_1(esk2_0)),esk1_0,esk2_0)
| v1_rmod_5(k8_rlvect_2(esk2_0,k1_rlvect_1(esk2_0),esk3_0),esk1_0,esk2_0) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-z5_ue176/input.p',i_0_1) ).
cnf(i_0_3,negated_conjecture,
m1_subset_1(esk3_0,u1_struct_0(esk2_0)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-z5_ue176/input.p',i_0_3) ).
cnf(i_0_4,negated_conjecture,
l1_vectsp_2(esk2_0,esk1_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-z5_ue176/input.p',i_0_4) ).
cnf(i_0_5,negated_conjecture,
v5_vectsp_2(esk2_0,esk1_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-z5_ue176/input.p',i_0_5) ).
cnf(i_0_11,negated_conjecture,
l3_vectsp_1(esk1_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-z5_ue176/input.p',i_0_11) ).
cnf(i_0_12,negated_conjecture,
v8_vectsp_1(esk1_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-z5_ue176/input.p',i_0_12) ).
cnf(i_0_13,negated_conjecture,
v7_vectsp_1(esk1_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-z5_ue176/input.p',i_0_13) ).
cnf(i_0_14,negated_conjecture,
v6_vectsp_1(esk1_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-z5_ue176/input.p',i_0_14) ).
cnf(i_0_15,negated_conjecture,
v4_group_1(esk1_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-z5_ue176/input.p',i_0_15) ).
cnf(i_0_6,negated_conjecture,
v6_rlvect_1(esk2_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-z5_ue176/input.p',i_0_6) ).
cnf(i_0_16,negated_conjecture,
v6_rlvect_1(esk1_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-z5_ue176/input.p',i_0_16) ).
cnf(i_0_7,negated_conjecture,
v5_rlvect_1(esk2_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-z5_ue176/input.p',i_0_7) ).
cnf(i_0_17,negated_conjecture,
v5_rlvect_1(esk1_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-z5_ue176/input.p',i_0_17) ).
cnf(i_0_8,negated_conjecture,
v4_rlvect_1(esk2_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-z5_ue176/input.p',i_0_8) ).
cnf(i_0_18,negated_conjecture,
v4_rlvect_1(esk1_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-z5_ue176/input.p',i_0_18) ).
cnf(i_0_9,negated_conjecture,
v3_rlvect_1(esk2_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-z5_ue176/input.p',i_0_9) ).
cnf(i_0_19,negated_conjecture,
v3_rlvect_1(esk1_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-z5_ue176/input.p',i_0_19) ).
cnf(i_0_2,negated_conjecture,
k2_group_1(esk1_0) != k1_rlvect_1(esk1_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-z5_ue176/input.p',i_0_2) ).
cnf(i_0_20,negated_conjecture,
~ v3_struct_0(esk1_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-z5_ue176/input.p',i_0_20) ).
cnf(i_0_10,negated_conjecture,
~ v3_struct_0(esk2_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-z5_ue176/input.p',i_0_10) ).
cnf(i_0_54,plain,
( l2_struct_0(X1)
| ~ l1_rlvect_1(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-z5_ue176/input.p',i_0_54) ).
cnf(i_0_81,plain,
( l1_rlvect_1(X1)
| ~ l3_vectsp_1(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-z5_ue176/input.p',i_0_81) ).
cnf(i_0_79,plain,
( l1_rlvect_1(X1)
| ~ l1_struct_0(X2)
| ~ l1_vectsp_2(X1,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-z5_ue176/input.p',i_0_79) ).
cnf(i_0_75,plain,
( m1_subset_1(k1_rlvect_1(X1),u1_struct_0(X1))
| ~ l2_struct_0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-z5_ue176/input.p',i_0_75) ).
cnf(i_0_56,plain,
( l1_struct_0(X1)
| ~ l2_struct_0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-z5_ue176/input.p',i_0_56) ).
cnf(c_0_113,plain,
( k2_group_1(X1) = k1_rlvect_1(X1)
| v3_struct_0(X1)
| v3_struct_0(X2)
| X3 != k1_rlvect_1(X2)
| ~ v3_rlvect_1(X1)
| ~ v3_rlvect_1(X2)
| ~ v4_rlvect_1(X1)
| ~ v4_rlvect_1(X2)
| ~ v5_rlvect_1(X1)
| ~ v5_rlvect_1(X2)
| ~ v6_rlvect_1(X1)
| ~ v6_rlvect_1(X2)
| ~ v4_group_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| ~ l3_vectsp_1(X1)
| ~ v5_vectsp_2(X2,X1)
| ~ l1_vectsp_2(X2,X1)
| ~ m1_subset_1(X4,u1_struct_0(X2))
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ v1_rmod_5(k8_rlvect_2(X2,X3,X4),X1,X2) ),
i_0_85 ).
cnf(c_0_114,plain,
( k2_group_1(X1) = k1_rlvect_1(X1)
| v3_struct_0(X1)
| v3_struct_0(X2)
| X3 != k1_rlvect_1(X2)
| ~ v3_rlvect_1(X1)
| ~ v3_rlvect_1(X2)
| ~ v4_rlvect_1(X1)
| ~ v4_rlvect_1(X2)
| ~ v5_rlvect_1(X1)
| ~ v5_rlvect_1(X2)
| ~ v6_rlvect_1(X1)
| ~ v6_rlvect_1(X2)
| ~ v4_group_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| ~ l3_vectsp_1(X1)
| ~ v5_vectsp_2(X2,X1)
| ~ l1_vectsp_2(X2,X1)
| ~ m1_subset_1(X4,u1_struct_0(X2))
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ v1_rmod_5(k8_rlvect_2(X2,X4,X3),X1,X2) ),
i_0_84 ).
cnf(c_0_115,plain,
( k2_group_1(X1) = k1_rlvect_1(X1)
| v3_struct_0(X2)
| v3_struct_0(X1)
| ~ v1_rmod_5(k8_rlvect_2(X2,k1_rlvect_1(X2),X3),X1,X2)
| ~ m1_subset_1(k1_rlvect_1(X2),u1_struct_0(X2))
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ l1_vectsp_2(X2,X1)
| ~ v5_vectsp_2(X2,X1)
| ~ l3_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v4_group_1(X1)
| ~ v6_rlvect_1(X2)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X2)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X2)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X2)
| ~ v3_rlvect_1(X1) ),
inference(er,[status(thm)],[c_0_113]) ).
cnf(c_0_116,negated_conjecture,
( v1_rmod_5(k8_rlvect_2(esk2_0,esk3_0,k1_rlvect_1(esk2_0)),esk1_0,esk2_0)
| v1_rmod_5(k8_rlvect_2(esk2_0,k1_rlvect_1(esk2_0),esk3_0),esk1_0,esk2_0) ),
i_0_1 ).
cnf(c_0_117,negated_conjecture,
m1_subset_1(esk3_0,u1_struct_0(esk2_0)),
i_0_3 ).
cnf(c_0_118,negated_conjecture,
l1_vectsp_2(esk2_0,esk1_0),
i_0_4 ).
cnf(c_0_119,negated_conjecture,
v5_vectsp_2(esk2_0,esk1_0),
i_0_5 ).
cnf(c_0_120,negated_conjecture,
l3_vectsp_1(esk1_0),
i_0_11 ).
cnf(c_0_121,negated_conjecture,
v8_vectsp_1(esk1_0),
i_0_12 ).
cnf(c_0_122,negated_conjecture,
v7_vectsp_1(esk1_0),
i_0_13 ).
cnf(c_0_123,negated_conjecture,
v6_vectsp_1(esk1_0),
i_0_14 ).
cnf(c_0_124,negated_conjecture,
v4_group_1(esk1_0),
i_0_15 ).
cnf(c_0_125,negated_conjecture,
v6_rlvect_1(esk2_0),
i_0_6 ).
cnf(c_0_126,negated_conjecture,
v6_rlvect_1(esk1_0),
i_0_16 ).
cnf(c_0_127,negated_conjecture,
v5_rlvect_1(esk2_0),
i_0_7 ).
cnf(c_0_128,negated_conjecture,
v5_rlvect_1(esk1_0),
i_0_17 ).
cnf(c_0_129,negated_conjecture,
v4_rlvect_1(esk2_0),
i_0_8 ).
cnf(c_0_130,negated_conjecture,
v4_rlvect_1(esk1_0),
i_0_18 ).
cnf(c_0_131,negated_conjecture,
v3_rlvect_1(esk2_0),
i_0_9 ).
cnf(c_0_132,negated_conjecture,
v3_rlvect_1(esk1_0),
i_0_19 ).
cnf(c_0_133,negated_conjecture,
k2_group_1(esk1_0) != k1_rlvect_1(esk1_0),
i_0_2 ).
cnf(c_0_134,negated_conjecture,
~ v3_struct_0(esk1_0),
i_0_20 ).
cnf(c_0_135,negated_conjecture,
~ v3_struct_0(esk2_0),
i_0_10 ).
cnf(c_0_136,plain,
( k2_group_1(X1) = k1_rlvect_1(X1)
| v3_struct_0(X2)
| v3_struct_0(X1)
| ~ v1_rmod_5(k8_rlvect_2(X2,X3,k1_rlvect_1(X2)),X1,X2)
| ~ m1_subset_1(k1_rlvect_1(X2),u1_struct_0(X2))
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ l1_vectsp_2(X2,X1)
| ~ v5_vectsp_2(X2,X1)
| ~ l3_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v4_group_1(X1)
| ~ v6_rlvect_1(X2)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X2)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X2)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X2)
| ~ v3_rlvect_1(X1) ),
inference(er,[status(thm)],[c_0_114]) ).
cnf(c_0_137,negated_conjecture,
( v1_rmod_5(k8_rlvect_2(esk2_0,esk3_0,k1_rlvect_1(esk2_0)),esk1_0,esk2_0)
| ~ m1_subset_1(k1_rlvect_1(esk2_0),u1_struct_0(esk2_0)) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[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(rw,[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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_116]),c_0_117]),c_0_118]),c_0_119]),c_0_120]),c_0_121]),c_0_122]),c_0_123]),c_0_124]),c_0_125]),c_0_126]),c_0_127]),c_0_128]),c_0_129]),c_0_130]),c_0_131]),c_0_132])]),c_0_133]),c_0_134]),c_0_135]) ).
cnf(c_0_138,plain,
( l2_struct_0(X1)
| ~ l1_rlvect_1(X1) ),
i_0_54 ).
cnf(c_0_139,plain,
( l1_rlvect_1(X1)
| ~ l3_vectsp_1(X1) ),
i_0_81 ).
cnf(c_0_140,plain,
( l1_rlvect_1(X1)
| ~ l1_struct_0(X2)
| ~ l1_vectsp_2(X1,X2) ),
i_0_79 ).
cnf(c_0_141,plain,
~ m1_subset_1(k1_rlvect_1(esk2_0),u1_struct_0(esk2_0)),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[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(rw,[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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_137]),c_0_117]),c_0_118]),c_0_119]),c_0_120]),c_0_121]),c_0_122]),c_0_123]),c_0_124]),c_0_125]),c_0_126]),c_0_127]),c_0_128]),c_0_129]),c_0_130]),c_0_131]),c_0_132])]),c_0_133]),c_0_134]),c_0_135]) ).
cnf(c_0_142,plain,
( m1_subset_1(k1_rlvect_1(X1),u1_struct_0(X1))
| ~ l2_struct_0(X1) ),
i_0_75 ).
cnf(c_0_143,plain,
( l1_struct_0(X1)
| ~ l2_struct_0(X1) ),
i_0_56 ).
cnf(c_0_144,plain,
( l2_struct_0(X1)
| ~ l3_vectsp_1(X1) ),
inference(spm,[status(thm)],[c_0_138,c_0_139]) ).
cnf(c_0_145,negated_conjecture,
( l1_rlvect_1(esk2_0)
| ~ l1_struct_0(esk1_0) ),
inference(spm,[status(thm)],[c_0_140,c_0_118]) ).
cnf(c_0_146,plain,
~ l2_struct_0(esk2_0),
inference(spm,[status(thm)],[c_0_141,c_0_142]) ).
cnf(c_0_147,plain,
( l1_struct_0(X1)
| ~ l3_vectsp_1(X1) ),
inference(spm,[status(thm)],[c_0_143,c_0_144]) ).
cnf(c_0_148,plain,
~ l1_struct_0(esk1_0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_138,c_0_145]),c_0_146]) ).
cnf(c_0_149,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_120]),c_0_148]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.12 % Problem : ALG216+1 : TPTP v8.1.0. Released v3.4.0.
% 0.09/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.13/0.33 % Computer : n028.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Thu Jun 9 06:27:34 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.18/0.44 # ENIGMATIC: Selected complete mode:
% 8.47/2.52 # ENIGMATIC: Solved by autoschedule:
% 8.47/2.52 # No SInE strategy applied
% 8.47/2.52 # Trying AutoSched0 for 150 seconds
% 8.47/2.52 # AutoSched0-Mode selected heuristic G_E___207_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S04AN
% 8.47/2.52 # and selection function SelectComplexExceptUniqMaxHorn.
% 8.47/2.52 #
% 8.47/2.52 # Preprocessing time : 0.014 s
% 8.47/2.52 # Presaturation interreduction done
% 8.47/2.52
% 8.47/2.52 # Proof found!
% 8.47/2.52 # SZS status Theorem
% 8.47/2.52 # SZS output start CNFRefutation
% See solution above
% 8.47/2.52 # Training examples: 0 positive, 0 negative
% 8.47/2.52
% 8.47/2.52 # -------------------------------------------------
% 8.47/2.52 # User time : 0.019 s
% 8.47/2.52 # System time : 0.007 s
% 8.47/2.52 # Total time : 0.026 s
% 8.47/2.52 # Maximum resident set size: 7120 pages
% 8.47/2.52
%------------------------------------------------------------------------------