TSTP Solution File: LAT345+2 by Enigma---0.5.1
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%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : LAT345+2 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n029.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 : Sun Jul 17 04:30:02 EDT 2022
% Result : Theorem 10.59s 4.26s
% Output : CNFRefutation 10.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 20
% Syntax : Number of clauses : 56 ( 25 unt; 29 nHn; 56 RR)
% Number of literals : 181 ( 34 equ; 95 neg)
% Maximal clause size : 8 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 2 con; 0-2 aty)
% Number of variables : 55 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_2933,plain,
( k7_conlat_2(k7_conlat_2(X1)) = X1
| v3_conlat_1(X1)
| ~ l2_conlat_1(X1)
| ~ v4_conlat_1(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-7m4oif1f/lgb.p',i_0_2933) ).
cnf(i_0_3129,negated_conjecture,
v4_conlat_1(esk508_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-7m4oif1f/lgb.p',i_0_3129) ).
cnf(i_0_3128,negated_conjecture,
l2_conlat_1(esk508_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-7m4oif1f/lgb.p',i_0_3128) ).
cnf(i_0_3130,negated_conjecture,
~ v3_conlat_1(esk508_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-7m4oif1f/lgb.p',i_0_3130) ).
cnf(i_0_1274,plain,
( v3_conlat_1(X1)
| l2_conlat_1(k7_conlat_2(X1))
| ~ l2_conlat_1(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-7m4oif1f/lgb.p',i_0_1274) ).
cnf(i_0_1049,plain,
( u5_conlat_1(k7_conlat_2(X1),X2) = u4_conlat_1(X1,X3)
| v3_conlat_1(X1)
| X2 != k8_conlat_2(X1,X3)
| ~ l2_conlat_1(X1)
| ~ l3_conlat_1(X3,X1)
| ~ l3_conlat_1(X2,k7_conlat_2(X1))
| ~ v6_conlat_1(X2,k7_conlat_2(X1)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-7m4oif1f/lgb.p',i_0_1049) ).
cnf(i_0_1292,plain,
( v3_conlat_1(X1)
| v6_conlat_1(k8_conlat_2(X1,X2),k7_conlat_2(X1))
| ~ l2_conlat_1(X1)
| ~ l3_conlat_1(X2,X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-7m4oif1f/lgb.p',i_0_1292) ).
cnf(i_0_1291,plain,
( v3_conlat_1(X1)
| l3_conlat_1(k8_conlat_2(X1,X2),k7_conlat_2(X1))
| ~ l2_conlat_1(X1)
| ~ l3_conlat_1(X2,X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-7m4oif1f/lgb.p',i_0_1291) ).
cnf(i_0_2217,plain,
( k9_conlat_2(X1,X2) = k8_conlat_2(X1,X2)
| v3_conlat_1(X1)
| v7_conlat_1(X2,X1)
| ~ l2_conlat_1(X1)
| ~ l3_conlat_1(X2,X1)
| ~ v9_conlat_1(X2,X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-7m4oif1f/lgb.p',i_0_2217) ).
cnf(i_0_3124,negated_conjecture,
l3_conlat_1(esk509_0,esk508_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-7m4oif1f/lgb.p',i_0_3124) ).
cnf(i_0_3125,negated_conjecture,
v9_conlat_1(esk509_0,esk508_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-7m4oif1f/lgb.p',i_0_3125) ).
cnf(i_0_3126,negated_conjecture,
~ v7_conlat_1(esk509_0,esk508_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-7m4oif1f/lgb.p',i_0_3126) ).
cnf(i_0_1050,plain,
( u4_conlat_1(k7_conlat_2(X1),X2) = u5_conlat_1(X1,X3)
| v3_conlat_1(X1)
| X2 != k8_conlat_2(X1,X3)
| ~ l2_conlat_1(X1)
| ~ l3_conlat_1(X3,X1)
| ~ l3_conlat_1(X2,k7_conlat_2(X1))
| ~ v6_conlat_1(X2,k7_conlat_2(X1)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-7m4oif1f/lgb.p',i_0_1050) ).
cnf(i_0_1048,plain,
( X1 = k8_conlat_2(X2,X3)
| v3_conlat_1(X2)
| u4_conlat_1(k7_conlat_2(X2),X1) != u5_conlat_1(X2,X3)
| u5_conlat_1(k7_conlat_2(X2),X1) != u4_conlat_1(X2,X3)
| ~ l2_conlat_1(X2)
| ~ l3_conlat_1(X3,X2)
| ~ l3_conlat_1(X1,k7_conlat_2(X2))
| ~ v6_conlat_1(X1,k7_conlat_2(X2)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-7m4oif1f/lgb.p',i_0_1048) ).
cnf(i_0_1303,plain,
( v3_conlat_1(X1)
| v7_conlat_1(X2,X1)
| l3_conlat_1(k9_conlat_2(X1,X2),k7_conlat_2(X1))
| ~ l2_conlat_1(X1)
| ~ l3_conlat_1(X2,X1)
| ~ v9_conlat_1(X2,X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-7m4oif1f/lgb.p',i_0_1303) ).
cnf(i_0_1304,plain,
( v3_conlat_1(X1)
| v7_conlat_1(X2,X1)
| v9_conlat_1(k9_conlat_2(X1,X2),k7_conlat_2(X1))
| ~ l2_conlat_1(X1)
| ~ l3_conlat_1(X2,X1)
| ~ v9_conlat_1(X2,X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-7m4oif1f/lgb.p',i_0_1304) ).
cnf(i_0_3127,negated_conjecture,
v6_conlat_1(esk509_0,esk508_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-7m4oif1f/lgb.p',i_0_3127) ).
cnf(i_0_3123,negated_conjecture,
k9_conlat_2(k7_conlat_2(esk508_0),k9_conlat_2(esk508_0,esk509_0)) != esk509_0,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-7m4oif1f/lgb.p',i_0_3123) ).
cnf(i_0_1305,plain,
( v3_conlat_1(X1)
| v7_conlat_1(X2,X1)
| ~ l2_conlat_1(X1)
| ~ l3_conlat_1(X2,X1)
| ~ v9_conlat_1(X2,X1)
| ~ v7_conlat_1(k9_conlat_2(X1,X2),k7_conlat_2(X1)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-7m4oif1f/lgb.p',i_0_1305) ).
cnf(i_0_1276,plain,
( v3_conlat_1(X1)
| ~ l2_conlat_1(X1)
| ~ v3_conlat_1(k7_conlat_2(X1)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-7m4oif1f/lgb.p',i_0_1276) ).
cnf(c_0_3151,plain,
( k7_conlat_2(k7_conlat_2(X1)) = X1
| v3_conlat_1(X1)
| ~ l2_conlat_1(X1)
| ~ v4_conlat_1(X1) ),
i_0_2933 ).
cnf(c_0_3152,negated_conjecture,
v4_conlat_1(esk508_0),
i_0_3129 ).
cnf(c_0_3153,negated_conjecture,
l2_conlat_1(esk508_0),
i_0_3128 ).
cnf(c_0_3154,negated_conjecture,
~ v3_conlat_1(esk508_0),
i_0_3130 ).
cnf(c_0_3155,plain,
( v3_conlat_1(X1)
| l2_conlat_1(k7_conlat_2(X1))
| ~ l2_conlat_1(X1) ),
i_0_1274 ).
cnf(c_0_3156,plain,
( u5_conlat_1(k7_conlat_2(X1),X2) = u4_conlat_1(X1,X3)
| v3_conlat_1(X1)
| X2 != k8_conlat_2(X1,X3)
| ~ l2_conlat_1(X1)
| ~ l3_conlat_1(X3,X1)
| ~ l3_conlat_1(X2,k7_conlat_2(X1))
| ~ v6_conlat_1(X2,k7_conlat_2(X1)) ),
i_0_1049 ).
cnf(c_0_3157,plain,
( v3_conlat_1(X1)
| v6_conlat_1(k8_conlat_2(X1,X2),k7_conlat_2(X1))
| ~ l2_conlat_1(X1)
| ~ l3_conlat_1(X2,X1) ),
i_0_1292 ).
cnf(c_0_3158,plain,
( v3_conlat_1(X1)
| l3_conlat_1(k8_conlat_2(X1,X2),k7_conlat_2(X1))
| ~ l2_conlat_1(X1)
| ~ l3_conlat_1(X2,X1) ),
i_0_1291 ).
cnf(c_0_3159,plain,
( k9_conlat_2(X1,X2) = k8_conlat_2(X1,X2)
| v3_conlat_1(X1)
| v7_conlat_1(X2,X1)
| ~ l2_conlat_1(X1)
| ~ l3_conlat_1(X2,X1)
| ~ v9_conlat_1(X2,X1) ),
i_0_2217 ).
cnf(c_0_3160,negated_conjecture,
l3_conlat_1(esk509_0,esk508_0),
i_0_3124 ).
cnf(c_0_3161,negated_conjecture,
v9_conlat_1(esk509_0,esk508_0),
i_0_3125 ).
cnf(c_0_3162,negated_conjecture,
~ v7_conlat_1(esk509_0,esk508_0),
i_0_3126 ).
cnf(c_0_3163,plain,
( u4_conlat_1(k7_conlat_2(X1),X2) = u5_conlat_1(X1,X3)
| v3_conlat_1(X1)
| X2 != k8_conlat_2(X1,X3)
| ~ l2_conlat_1(X1)
| ~ l3_conlat_1(X3,X1)
| ~ l3_conlat_1(X2,k7_conlat_2(X1))
| ~ v6_conlat_1(X2,k7_conlat_2(X1)) ),
i_0_1050 ).
cnf(c_0_3164,plain,
( X1 = k8_conlat_2(X2,X3)
| v3_conlat_1(X2)
| u4_conlat_1(k7_conlat_2(X2),X1) != u5_conlat_1(X2,X3)
| u5_conlat_1(k7_conlat_2(X2),X1) != u4_conlat_1(X2,X3)
| ~ l2_conlat_1(X2)
| ~ l3_conlat_1(X3,X2)
| ~ l3_conlat_1(X1,k7_conlat_2(X2))
| ~ v6_conlat_1(X1,k7_conlat_2(X2)) ),
i_0_1048 ).
cnf(c_0_3165,negated_conjecture,
k7_conlat_2(k7_conlat_2(esk508_0)) = esk508_0,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3151,c_0_3152]),c_0_3153])]),c_0_3154]) ).
cnf(c_0_3166,negated_conjecture,
l2_conlat_1(k7_conlat_2(esk508_0)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_3155,c_0_3153]),c_0_3154]) ).
cnf(c_0_3167,plain,
( v3_conlat_1(X1)
| v7_conlat_1(X2,X1)
| l3_conlat_1(k9_conlat_2(X1,X2),k7_conlat_2(X1))
| ~ l2_conlat_1(X1)
| ~ l3_conlat_1(X2,X1)
| ~ v9_conlat_1(X2,X1) ),
i_0_1303 ).
cnf(c_0_3168,plain,
( u5_conlat_1(k7_conlat_2(X1),k8_conlat_2(X1,X2)) = u4_conlat_1(X1,X2)
| v3_conlat_1(X1)
| ~ l2_conlat_1(X1)
| ~ l3_conlat_1(X2,X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_3156]),c_0_3157]),c_0_3158]) ).
cnf(c_0_3169,negated_conjecture,
k8_conlat_2(esk508_0,esk509_0) = k9_conlat_2(esk508_0,esk509_0),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3159,c_0_3160]),c_0_3153]),c_0_3161])]),c_0_3162]),c_0_3154]) ).
cnf(c_0_3170,plain,
( u4_conlat_1(k7_conlat_2(X1),k8_conlat_2(X1,X2)) = u5_conlat_1(X1,X2)
| v3_conlat_1(X1)
| ~ l2_conlat_1(X1)
| ~ l3_conlat_1(X2,X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_3163]),c_0_3157]),c_0_3158]) ).
cnf(c_0_3171,plain,
( v3_conlat_1(X1)
| v7_conlat_1(X2,X1)
| v9_conlat_1(k9_conlat_2(X1,X2),k7_conlat_2(X1))
| ~ l2_conlat_1(X1)
| ~ l3_conlat_1(X2,X1)
| ~ v9_conlat_1(X2,X1) ),
i_0_1304 ).
cnf(c_0_3172,negated_conjecture,
( X1 = k8_conlat_2(k7_conlat_2(esk508_0),X2)
| v3_conlat_1(k7_conlat_2(esk508_0))
| u4_conlat_1(esk508_0,X1) != u5_conlat_1(k7_conlat_2(esk508_0),X2)
| u5_conlat_1(esk508_0,X1) != u4_conlat_1(k7_conlat_2(esk508_0),X2)
| ~ l3_conlat_1(X2,k7_conlat_2(esk508_0))
| ~ l3_conlat_1(X1,esk508_0)
| ~ v6_conlat_1(X1,esk508_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3164,c_0_3165]),c_0_3166])]) ).
cnf(c_0_3173,negated_conjecture,
l3_conlat_1(k9_conlat_2(esk508_0,esk509_0),k7_conlat_2(esk508_0)),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3167,c_0_3160]),c_0_3153]),c_0_3161])]),c_0_3162]),c_0_3154]) ).
cnf(c_0_3174,negated_conjecture,
u5_conlat_1(k7_conlat_2(esk508_0),k9_conlat_2(esk508_0,esk509_0)) = u4_conlat_1(esk508_0,esk509_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3168,c_0_3160]),c_0_3169]),c_0_3153])]),c_0_3154]) ).
cnf(c_0_3175,negated_conjecture,
u4_conlat_1(k7_conlat_2(esk508_0),k9_conlat_2(esk508_0,esk509_0)) = u5_conlat_1(esk508_0,esk509_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3170,c_0_3160]),c_0_3169]),c_0_3153])]),c_0_3154]) ).
cnf(c_0_3176,negated_conjecture,
v9_conlat_1(k9_conlat_2(esk508_0,esk509_0),k7_conlat_2(esk508_0)),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3171,c_0_3160]),c_0_3153]),c_0_3161])]),c_0_3162]),c_0_3154]) ).
cnf(c_0_3177,negated_conjecture,
( X1 = k8_conlat_2(k7_conlat_2(esk508_0),k9_conlat_2(esk508_0,esk509_0))
| v3_conlat_1(k7_conlat_2(esk508_0))
| u4_conlat_1(esk508_0,X1) != u4_conlat_1(esk508_0,esk509_0)
| u5_conlat_1(esk508_0,X1) != u5_conlat_1(esk508_0,esk509_0)
| ~ l3_conlat_1(X1,esk508_0)
| ~ v6_conlat_1(X1,esk508_0) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3172,c_0_3173]),c_0_3174]),c_0_3175]) ).
cnf(c_0_3178,negated_conjecture,
v6_conlat_1(esk509_0,esk508_0),
i_0_3127 ).
cnf(c_0_3179,negated_conjecture,
( k8_conlat_2(k7_conlat_2(esk508_0),k9_conlat_2(esk508_0,esk509_0)) = k9_conlat_2(k7_conlat_2(esk508_0),k9_conlat_2(esk508_0,esk509_0))
| v7_conlat_1(k9_conlat_2(esk508_0,esk509_0),k7_conlat_2(esk508_0))
| v3_conlat_1(k7_conlat_2(esk508_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3159,c_0_3173]),c_0_3166]),c_0_3176])]) ).
cnf(c_0_3180,negated_conjecture,
( k8_conlat_2(k7_conlat_2(esk508_0),k9_conlat_2(esk508_0,esk509_0)) = esk509_0
| v3_conlat_1(k7_conlat_2(esk508_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3177,c_0_3160]),c_0_3178])]) ).
cnf(c_0_3181,negated_conjecture,
k9_conlat_2(k7_conlat_2(esk508_0),k9_conlat_2(esk508_0,esk509_0)) != esk509_0,
i_0_3123 ).
cnf(c_0_3182,plain,
( v3_conlat_1(X1)
| v7_conlat_1(X2,X1)
| ~ l2_conlat_1(X1)
| ~ l3_conlat_1(X2,X1)
| ~ v9_conlat_1(X2,X1)
| ~ v7_conlat_1(k9_conlat_2(X1,X2),k7_conlat_2(X1)) ),
i_0_1305 ).
cnf(c_0_3183,negated_conjecture,
( v7_conlat_1(k9_conlat_2(esk508_0,esk509_0),k7_conlat_2(esk508_0))
| v3_conlat_1(k7_conlat_2(esk508_0)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_3179,c_0_3180]),c_0_3181]) ).
cnf(c_0_3184,plain,
( v3_conlat_1(X1)
| ~ l2_conlat_1(X1)
| ~ v3_conlat_1(k7_conlat_2(X1)) ),
i_0_1276 ).
cnf(c_0_3185,plain,
v3_conlat_1(k7_conlat_2(esk508_0)),
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(spm,[status(thm)],[c_0_3182,c_0_3183]),c_0_3153]),c_0_3160]),c_0_3161])]),c_0_3162]),c_0_3154]) ).
cnf(c_0_3186,plain,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3184,c_0_3185]),c_0_3153])]),c_0_3154]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : LAT345+2 : TPTP v8.1.0. Released v3.4.0.
% 0.03/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.11/0.33 % Computer : n029.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 : Wed Jun 29 13:56:55 EDT 2022
% 0.11/0.33 % CPUTime :
% 0.18/0.44 # ENIGMATIC: Selected SinE mode:
% 0.45/0.65 # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.45/0.65 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 0.45/0.65 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 0.45/0.65 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 10.59/4.26 # ENIGMATIC: Solved by autoschedule-lgb:
% 10.59/4.26 # No SInE strategy applied
% 10.59/4.26 # Trying AutoSched0 for 149 seconds
% 10.59/4.26 # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 10.59/4.26 # and selection function SelectComplexExceptUniqMaxHorn.
% 10.59/4.26 #
% 10.59/4.26 # Preprocessing time : 0.029 s
% 10.59/4.26 # Presaturation interreduction done
% 10.59/4.26
% 10.59/4.26 # Proof found!
% 10.59/4.26 # SZS status Theorem
% 10.59/4.26 # SZS output start CNFRefutation
% See solution above
% 10.59/4.26 # Training examples: 0 positive, 0 negative
% 10.59/4.26
% 10.59/4.26 # -------------------------------------------------
% 10.59/4.26 # User time : 0.081 s
% 10.59/4.26 # System time : 0.007 s
% 10.59/4.26 # Total time : 0.089 s
% 10.59/4.26 # Maximum resident set size: 7120 pages
% 10.59/4.26
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