TSTP Solution File: LAT361+1 by SPASS---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : LAT361+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n027.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 06:51:26 EDT 2022
% Result : Theorem 7.64s 7.89s
% Output : Refutation 7.86s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 47
% Syntax : Number of clauses : 115 ( 42 unt; 60 nHn; 115 RR)
% Number of literals : 432 ( 0 equ; 255 neg)
% Maximal clause size : 19 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 24 ( 23 usr; 1 prp; 0-3 aty)
% Number of functors : 16 ( 16 usr; 5 con; 0-5 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(40,axiom,
~ v2_setfam_1(skc13),
file('LAT361+1.p',unknown),
[] ).
cnf(60,axiom,
( ~ v1_xboole_0(u)
| v2_setfam_1(u) ),
file('LAT361+1.p',unknown),
[] ).
cnf(68,axiom,
( v1_xboole_0(u)
| l2_altcat_1(k4_waybel34(u)) ),
file('LAT361+1.p',unknown),
[] ).
cnf(74,axiom,
( v1_xboole_0(u)
| l2_altcat_1(k5_waybel34(u)) ),
file('LAT361+1.p',unknown),
[] ).
cnf(76,axiom,
( ~ l2_altcat_1(u)
| l1_altcat_1(u) ),
file('LAT361+1.p',unknown),
[] ).
cnf(77,axiom,
( v2_setfam_1(u)
| v2_altcat_1(k4_waybel34(u)) ),
file('LAT361+1.p',unknown),
[] ).
cnf(78,axiom,
( v2_setfam_1(u)
| v6_altcat_1(k4_waybel34(u)) ),
file('LAT361+1.p',unknown),
[] ).
cnf(79,axiom,
( v2_setfam_1(u)
| v9_altcat_1(k4_waybel34(u)) ),
file('LAT361+1.p',unknown),
[] ).
cnf(80,axiom,
( v2_setfam_1(u)
| v11_altcat_1(k4_waybel34(u)) ),
file('LAT361+1.p',unknown),
[] ).
cnf(81,axiom,
( v2_setfam_1(u)
| v12_altcat_1(k4_waybel34(u)) ),
file('LAT361+1.p',unknown),
[] ).
cnf(82,axiom,
( v2_setfam_1(u)
| v1_altcat_2(k4_waybel34(u)) ),
file('LAT361+1.p',unknown),
[] ).
cnf(83,axiom,
( v2_setfam_1(u)
| v2_yellow18(k4_waybel34(u)) ),
file('LAT361+1.p',unknown),
[] ).
cnf(84,axiom,
( v2_setfam_1(u)
| v3_yellow18(k4_waybel34(u)) ),
file('LAT361+1.p',unknown),
[] ).
cnf(85,axiom,
( v2_setfam_1(u)
| v4_yellow18(k4_waybel34(u)) ),
file('LAT361+1.p',unknown),
[] ).
cnf(86,axiom,
( v2_setfam_1(u)
| v1_yellow21(k4_waybel34(u)) ),
file('LAT361+1.p',unknown),
[] ).
cnf(87,axiom,
( v2_setfam_1(u)
| v2_yellow21(k4_waybel34(u)) ),
file('LAT361+1.p',unknown),
[] ).
cnf(88,axiom,
( v2_setfam_1(u)
| v3_yellow21(k4_waybel34(u)) ),
file('LAT361+1.p',unknown),
[] ).
cnf(89,axiom,
( v2_setfam_1(u)
| v2_altcat_1(k5_waybel34(u)) ),
file('LAT361+1.p',unknown),
[] ).
cnf(90,axiom,
( v2_setfam_1(u)
| v6_altcat_1(k5_waybel34(u)) ),
file('LAT361+1.p',unknown),
[] ).
cnf(91,axiom,
( v2_setfam_1(u)
| v9_altcat_1(k5_waybel34(u)) ),
file('LAT361+1.p',unknown),
[] ).
cnf(92,axiom,
( v2_setfam_1(u)
| v11_altcat_1(k5_waybel34(u)) ),
file('LAT361+1.p',unknown),
[] ).
cnf(93,axiom,
( v2_setfam_1(u)
| v12_altcat_1(k5_waybel34(u)) ),
file('LAT361+1.p',unknown),
[] ).
cnf(94,axiom,
( v2_setfam_1(u)
| v1_altcat_2(k5_waybel34(u)) ),
file('LAT361+1.p',unknown),
[] ).
cnf(95,axiom,
( v2_setfam_1(u)
| v2_yellow18(k5_waybel34(u)) ),
file('LAT361+1.p',unknown),
[] ).
cnf(96,axiom,
( v2_setfam_1(u)
| v3_yellow18(k5_waybel34(u)) ),
file('LAT361+1.p',unknown),
[] ).
cnf(97,axiom,
( v2_setfam_1(u)
| v4_yellow18(k5_waybel34(u)) ),
file('LAT361+1.p',unknown),
[] ).
cnf(98,axiom,
( v2_setfam_1(u)
| v1_yellow21(k5_waybel34(u)) ),
file('LAT361+1.p',unknown),
[] ).
cnf(99,axiom,
( v2_setfam_1(u)
| v2_yellow21(k5_waybel34(u)) ),
file('LAT361+1.p',unknown),
[] ).
cnf(100,axiom,
( v2_setfam_1(u)
| v3_yellow21(k5_waybel34(u)) ),
file('LAT361+1.p',unknown),
[] ).
cnf(111,axiom,
( ~ v3_struct_0(k4_waybel34(u))
| v2_setfam_1(u) ),
file('LAT361+1.p',unknown),
[] ).
cnf(112,axiom,
( ~ v3_struct_0(k5_waybel34(u))
| v2_setfam_1(u) ),
file('LAT361+1.p',unknown),
[] ).
cnf(145,axiom,
( v2_setfam_1(u)
| m2_functor0(k6_waybel34(u),k4_waybel34(u),k5_waybel34(u)) ),
file('LAT361+1.p',unknown),
[] ).
cnf(148,axiom,
( v2_setfam_1(u)
| m2_functor0(k7_waybel34(u),k5_waybel34(u),k4_waybel34(u)) ),
file('LAT361+1.p',unknown),
[] ).
cnf(151,axiom,
( v2_setfam_1(u)
| v8_functor0(k6_waybel34(u),k4_waybel34(u),k5_waybel34(u)) ),
file('LAT361+1.p',unknown),
[] ).
cnf(152,axiom,
( v2_setfam_1(u)
| v9_functor0(k6_waybel34(u),k4_waybel34(u),k5_waybel34(u)) ),
file('LAT361+1.p',unknown),
[] ).
cnf(157,axiom,
( v2_setfam_1(u)
| v21_functor0(k6_waybel34(u),k4_waybel34(u),k5_waybel34(u)) ),
file('LAT361+1.p',unknown),
[] ).
cnf(159,axiom,
( v2_setfam_1(u)
| v8_functor0(k7_waybel34(u),k5_waybel34(u),k4_waybel34(u)) ),
file('LAT361+1.p',unknown),
[] ).
cnf(160,axiom,
( v2_setfam_1(u)
| v9_functor0(k7_waybel34(u),k5_waybel34(u),k4_waybel34(u)) ),
file('LAT361+1.p',unknown),
[] ).
cnf(165,axiom,
( v2_setfam_1(u)
| v21_functor0(k7_waybel34(u),k5_waybel34(u),k4_waybel34(u)) ),
file('LAT361+1.p',unknown),
[] ).
cnf(187,axiom,
( ~ v12_altcat_1(u)
| ~ l2_altcat_1(u)
| v3_struct_0(u)
| v1_altcat_2(u) ),
file('LAT361+1.p',unknown),
[] ).
cnf(206,axiom,
( v2_setfam_1(u)
| equal(k15_functor0(k4_waybel34(u),k5_waybel34(u),k6_waybel34(u)),k7_waybel34(u)) ),
file('LAT361+1.p',unknown),
[] ).
cnf(207,axiom,
( v2_setfam_1(u)
| equal(k15_functor0(k5_waybel34(u),k4_waybel34(u),k7_waybel34(u)),k6_waybel34(u)) ),
file('LAT361+1.p',unknown),
[] ).
cnf(227,axiom,
( ~ l2_altcat_1(u)
| ~ v12_altcat_1(u)
| ~ v2_altcat_1(u)
| v3_struct_0(u)
| equal(k12_functor0(u),k11_functor0(u)) ),
file('LAT361+1.p',unknown),
[] ).
cnf(265,axiom,
( ~ v12_altcat_1(u)
| ~ l2_altcat_1(u)
| ~ l2_altcat_1(v)
| ~ v12_altcat_1(v)
| ~ v2_altcat_1(v)
| ~ m2_functor0(w,v,u)
| v3_struct_0(u)
| v3_struct_0(v)
| l2_functor0(w,v,u) ),
file('LAT361+1.p',unknown),
[] ).
cnf(268,axiom,
( ~ l1_altcat_1(u)
| ~ l1_altcat_1(v)
| ~ v9_functor0(w,v,u)
| ~ l2_functor0(w,v,u)
| equal(g2_functor0(v,u,u1_functor0(v,u,w),u2_functor0(v,u,w)),w) ),
file('LAT361+1.p',unknown),
[] ).
cnf(271,axiom,
( ~ equal(k13_functor0(k4_waybel34(skc13),k5_waybel34(skc13),k4_waybel34(skc13),k6_waybel34(skc13),k7_waybel34(skc13)),k12_functor0(k4_waybel34(skc13)))
| ~ equal(k13_functor0(k5_waybel34(skc13),k4_waybel34(skc13),k5_waybel34(skc13),k7_waybel34(skc13),k6_waybel34(skc13)),k12_functor0(k5_waybel34(skc13))) ),
file('LAT361+1.p',unknown),
[] ).
cnf(317,axiom,
( ~ v2_altcat_1(u)
| ~ v12_altcat_1(u)
| ~ v1_altcat_2(u)
| ~ l2_altcat_1(u)
| ~ v2_altcat_1(v)
| ~ v12_altcat_1(v)
| ~ v1_altcat_2(v)
| ~ l2_altcat_1(v)
| ~ v8_functor0(w,u,v)
| ~ l2_functor0(w,u,v)
| ~ v21_functor0(w,u,v)
| ~ v8_functor0(x,v,u)
| ~ l2_functor0(x,v,u)
| ~ equal(g2_functor0(v,u,u1_functor0(v,u,x),u2_functor0(v,u,x)),k15_functor0(u,v,w))
| v3_struct_0(u)
| v3_struct_0(v)
| equal(k13_functor0(v,u,v,x,w),k12_functor0(v)) ),
file('LAT361+1.p',unknown),
[] ).
cnf(322,plain,
( ~ v2_altcat_1(u)
| ~ v12_altcat_1(u)
| ~ v1_altcat_2(u)
| ~ l2_altcat_1(u)
| ~ v2_altcat_1(v)
| ~ v12_altcat_1(v)
| ~ v1_altcat_2(v)
| ~ l2_altcat_1(v)
| ~ v8_functor0(w,u,v)
| ~ l2_functor0(w,u,v)
| ~ v21_functor0(w,u,v)
| ~ v8_functor0(x,v,u)
| ~ l2_functor0(x,v,u)
| ~ equal(g2_functor0(v,u,u1_functor0(v,u,x),u2_functor0(v,u,x)),k15_functor0(u,v,w))
| v3_struct_0(u)
| v3_struct_0(v)
| equal(k13_functor0(v,u,v,x,w),k11_functor0(v)) ),
inference(rew,[status(thm),theory(equality)],[227,317]),
[iquote('0:Rew:227.4,317.16')] ).
cnf(323,plain,
( ~ l2_altcat_1(u)
| ~ v12_altcat_1(u)
| ~ v2_altcat_1(u)
| ~ l2_altcat_1(v)
| ~ v12_altcat_1(v)
| ~ v2_altcat_1(v)
| ~ equal(g2_functor0(u,v,u1_functor0(u,v,w),u2_functor0(u,v,w)),k15_functor0(v,u,x))
| ~ l2_functor0(w,u,v)
| ~ v8_functor0(w,u,v)
| ~ v21_functor0(x,v,u)
| ~ l2_functor0(x,v,u)
| ~ v8_functor0(x,v,u)
| v3_struct_0(u)
| v3_struct_0(v)
| equal(k13_functor0(u,v,u,w,x),k11_functor0(u)) ),
inference(mrr,[status(thm)],[322,187]),
[iquote('0:MRR:322.2,322.6,187.2,187.2')] ).
cnf(324,plain,
equal(k15_functor0(k4_waybel34(skc13),k5_waybel34(skc13),k6_waybel34(skc13)),k7_waybel34(skc13)),
inference(res,[status(thm),theory(equality)],[206,40]),
[iquote('0:Res:206.1,40.0')] ).
cnf(325,plain,
equal(k15_functor0(k5_waybel34(skc13),k4_waybel34(skc13),k7_waybel34(skc13)),k6_waybel34(skc13)),
inference(res,[status(thm),theory(equality)],[207,40]),
[iquote('0:Res:207.1,40.0')] ).
cnf(326,plain,
m2_functor0(k6_waybel34(skc13),k4_waybel34(skc13),k5_waybel34(skc13)),
inference(res,[status(thm),theory(equality)],[145,40]),
[iquote('0:Res:145.1,40.0')] ).
cnf(327,plain,
m2_functor0(k7_waybel34(skc13),k5_waybel34(skc13),k4_waybel34(skc13)),
inference(res,[status(thm),theory(equality)],[148,40]),
[iquote('0:Res:148.1,40.0')] ).
cnf(329,plain,
v8_functor0(k6_waybel34(skc13),k4_waybel34(skc13),k5_waybel34(skc13)),
inference(res,[status(thm),theory(equality)],[151,40]),
[iquote('0:Res:151.1,40.0')] ).
cnf(330,plain,
v9_functor0(k6_waybel34(skc13),k4_waybel34(skc13),k5_waybel34(skc13)),
inference(res,[status(thm),theory(equality)],[152,40]),
[iquote('0:Res:152.1,40.0')] ).
cnf(335,plain,
v21_functor0(k6_waybel34(skc13),k4_waybel34(skc13),k5_waybel34(skc13)),
inference(res,[status(thm),theory(equality)],[157,40]),
[iquote('0:Res:157.1,40.0')] ).
cnf(337,plain,
v8_functor0(k7_waybel34(skc13),k5_waybel34(skc13),k4_waybel34(skc13)),
inference(res,[status(thm),theory(equality)],[159,40]),
[iquote('0:Res:159.1,40.0')] ).
cnf(338,plain,
v9_functor0(k7_waybel34(skc13),k5_waybel34(skc13),k4_waybel34(skc13)),
inference(res,[status(thm),theory(equality)],[160,40]),
[iquote('0:Res:160.1,40.0')] ).
cnf(343,plain,
v21_functor0(k7_waybel34(skc13),k5_waybel34(skc13),k4_waybel34(skc13)),
inference(res,[status(thm),theory(equality)],[165,40]),
[iquote('0:Res:165.1,40.0')] ).
cnf(344,plain,
~ v3_struct_0(k4_waybel34(skc13)),
inference(res,[status(thm),theory(equality)],[111,40]),
[iquote('0:Res:111.1,40.0')] ).
cnf(345,plain,
~ v3_struct_0(k5_waybel34(skc13)),
inference(res,[status(thm),theory(equality)],[112,40]),
[iquote('0:Res:112.1,40.0')] ).
cnf(347,plain,
~ v1_xboole_0(skc13),
inference(res,[status(thm),theory(equality)],[60,40]),
[iquote('0:Res:60.1,40.0')] ).
cnf(348,plain,
v2_altcat_1(k4_waybel34(skc13)),
inference(res,[status(thm),theory(equality)],[77,40]),
[iquote('0:Res:77.1,40.0')] ).
cnf(349,plain,
v6_altcat_1(k4_waybel34(skc13)),
inference(res,[status(thm),theory(equality)],[78,40]),
[iquote('0:Res:78.1,40.0')] ).
cnf(350,plain,
v9_altcat_1(k4_waybel34(skc13)),
inference(res,[status(thm),theory(equality)],[79,40]),
[iquote('0:Res:79.1,40.0')] ).
cnf(351,plain,
v11_altcat_1(k4_waybel34(skc13)),
inference(res,[status(thm),theory(equality)],[80,40]),
[iquote('0:Res:80.1,40.0')] ).
cnf(352,plain,
v12_altcat_1(k4_waybel34(skc13)),
inference(res,[status(thm),theory(equality)],[81,40]),
[iquote('0:Res:81.1,40.0')] ).
cnf(353,plain,
v1_altcat_2(k4_waybel34(skc13)),
inference(res,[status(thm),theory(equality)],[82,40]),
[iquote('0:Res:82.1,40.0')] ).
cnf(354,plain,
v2_yellow18(k4_waybel34(skc13)),
inference(res,[status(thm),theory(equality)],[83,40]),
[iquote('0:Res:83.1,40.0')] ).
cnf(355,plain,
v3_yellow18(k4_waybel34(skc13)),
inference(res,[status(thm),theory(equality)],[84,40]),
[iquote('0:Res:84.1,40.0')] ).
cnf(356,plain,
v4_yellow18(k4_waybel34(skc13)),
inference(res,[status(thm),theory(equality)],[85,40]),
[iquote('0:Res:85.1,40.0')] ).
cnf(357,plain,
v1_yellow21(k4_waybel34(skc13)),
inference(res,[status(thm),theory(equality)],[86,40]),
[iquote('0:Res:86.1,40.0')] ).
cnf(358,plain,
v2_yellow21(k4_waybel34(skc13)),
inference(res,[status(thm),theory(equality)],[87,40]),
[iquote('0:Res:87.1,40.0')] ).
cnf(359,plain,
v3_yellow21(k4_waybel34(skc13)),
inference(res,[status(thm),theory(equality)],[88,40]),
[iquote('0:Res:88.1,40.0')] ).
cnf(360,plain,
v2_altcat_1(k5_waybel34(skc13)),
inference(res,[status(thm),theory(equality)],[89,40]),
[iquote('0:Res:89.1,40.0')] ).
cnf(361,plain,
v6_altcat_1(k5_waybel34(skc13)),
inference(res,[status(thm),theory(equality)],[90,40]),
[iquote('0:Res:90.1,40.0')] ).
cnf(362,plain,
v9_altcat_1(k5_waybel34(skc13)),
inference(res,[status(thm),theory(equality)],[91,40]),
[iquote('0:Res:91.1,40.0')] ).
cnf(363,plain,
v11_altcat_1(k5_waybel34(skc13)),
inference(res,[status(thm),theory(equality)],[92,40]),
[iquote('0:Res:92.1,40.0')] ).
cnf(364,plain,
v12_altcat_1(k5_waybel34(skc13)),
inference(res,[status(thm),theory(equality)],[93,40]),
[iquote('0:Res:93.1,40.0')] ).
cnf(365,plain,
v1_altcat_2(k5_waybel34(skc13)),
inference(res,[status(thm),theory(equality)],[94,40]),
[iquote('0:Res:94.1,40.0')] ).
cnf(366,plain,
v2_yellow18(k5_waybel34(skc13)),
inference(res,[status(thm),theory(equality)],[95,40]),
[iquote('0:Res:95.1,40.0')] ).
cnf(367,plain,
v3_yellow18(k5_waybel34(skc13)),
inference(res,[status(thm),theory(equality)],[96,40]),
[iquote('0:Res:96.1,40.0')] ).
cnf(368,plain,
v4_yellow18(k5_waybel34(skc13)),
inference(res,[status(thm),theory(equality)],[97,40]),
[iquote('0:Res:97.1,40.0')] ).
cnf(369,plain,
v1_yellow21(k5_waybel34(skc13)),
inference(res,[status(thm),theory(equality)],[98,40]),
[iquote('0:Res:98.1,40.0')] ).
cnf(370,plain,
v2_yellow21(k5_waybel34(skc13)),
inference(res,[status(thm),theory(equality)],[99,40]),
[iquote('0:Res:99.1,40.0')] ).
cnf(371,plain,
v3_yellow21(k5_waybel34(skc13)),
inference(res,[status(thm),theory(equality)],[100,40]),
[iquote('0:Res:100.1,40.0')] ).
cnf(2519,plain,
( ~ v12_altcat_1(k4_waybel34(skc13))
| ~ l2_altcat_1(k4_waybel34(skc13))
| ~ l2_altcat_1(k5_waybel34(skc13))
| ~ v12_altcat_1(k5_waybel34(skc13))
| ~ v2_altcat_1(k5_waybel34(skc13))
| v3_struct_0(k4_waybel34(skc13))
| v3_struct_0(k5_waybel34(skc13))
| l2_functor0(k7_waybel34(skc13),k5_waybel34(skc13),k4_waybel34(skc13)) ),
inference(res,[status(thm),theory(equality)],[327,265]),
[iquote('0:Res:327.0,265.5')] ).
cnf(2521,plain,
( ~ v12_altcat_1(k5_waybel34(skc13))
| ~ l2_altcat_1(k5_waybel34(skc13))
| ~ l2_altcat_1(k4_waybel34(skc13))
| ~ v12_altcat_1(k4_waybel34(skc13))
| ~ v2_altcat_1(k4_waybel34(skc13))
| v3_struct_0(k5_waybel34(skc13))
| v3_struct_0(k4_waybel34(skc13))
| l2_functor0(k6_waybel34(skc13),k4_waybel34(skc13),k5_waybel34(skc13)) ),
inference(res,[status(thm),theory(equality)],[326,265]),
[iquote('0:Res:326.0,265.5')] ).
cnf(2526,plain,
( ~ l2_altcat_1(k5_waybel34(skc13))
| ~ l2_altcat_1(k4_waybel34(skc13))
| v3_struct_0(k5_waybel34(skc13))
| v3_struct_0(k4_waybel34(skc13))
| l2_functor0(k6_waybel34(skc13),k4_waybel34(skc13),k5_waybel34(skc13)) ),
inference(ssi,[status(thm)],[2521,359,357,356,355,354,350,349,358,351,353,348,352,371,369,368,367,366,362,361,370,363,365,360,364]),
[iquote('0:SSi:2521.4,2521.3,2521.0,359.0,357.0,356.0,355.0,354.0,350.0,349.0,358.0,351.0,353.0,348.0,352.0,359.0,357.0,356.0,355.0,354.0,350.0,349.0,358.0,351.0,353.0,348.0,352.0,371.0,369.0,368.0,367.0,366.0,362.0,361.0,370.0,363.0,365.0,360.0,364.0')] ).
cnf(2527,plain,
( ~ l2_altcat_1(k5_waybel34(skc13))
| ~ l2_altcat_1(k4_waybel34(skc13))
| l2_functor0(k6_waybel34(skc13),k4_waybel34(skc13),k5_waybel34(skc13)) ),
inference(mrr,[status(thm)],[2526,345,344]),
[iquote('0:MRR:2526.2,2526.3,345.0,344.0')] ).
cnf(2528,plain,
( ~ l2_altcat_1(k4_waybel34(skc13))
| ~ l2_altcat_1(k5_waybel34(skc13))
| v3_struct_0(k4_waybel34(skc13))
| v3_struct_0(k5_waybel34(skc13))
| l2_functor0(k7_waybel34(skc13),k5_waybel34(skc13),k4_waybel34(skc13)) ),
inference(ssi,[status(thm)],[2519,371,369,368,367,366,362,361,370,363,365,360,364,359,357,356,355,354,350,349,358,351,353,348,352]),
[iquote('0:SSi:2519.4,2519.3,2519.0,371.0,369.0,368.0,367.0,366.0,362.0,361.0,370.0,363.0,365.0,360.0,364.0,371.0,369.0,368.0,367.0,366.0,362.0,361.0,370.0,363.0,365.0,360.0,364.0,359.0,357.0,356.0,355.0,354.0,350.0,349.0,358.0,351.0,353.0,348.0,352.0')] ).
cnf(2529,plain,
( ~ l2_altcat_1(k4_waybel34(skc13))
| ~ l2_altcat_1(k5_waybel34(skc13))
| l2_functor0(k7_waybel34(skc13),k5_waybel34(skc13),k4_waybel34(skc13)) ),
inference(mrr,[status(thm)],[2528,344,345]),
[iquote('0:MRR:2528.2,2528.3,344.0,345.0')] ).
cnf(4086,plain,
( ~ l1_altcat_1(u)
| ~ l1_altcat_1(v)
| ~ l2_altcat_1(v)
| ~ v12_altcat_1(v)
| ~ v2_altcat_1(v)
| ~ l2_altcat_1(u)
| ~ v12_altcat_1(u)
| ~ v2_altcat_1(u)
| ~ v9_functor0(w,v,u)
| ~ l2_functor0(w,v,u)
| ~ equal(w,k15_functor0(u,v,x))
| ~ l2_functor0(w,v,u)
| ~ v8_functor0(w,v,u)
| ~ v21_functor0(x,u,v)
| ~ l2_functor0(x,u,v)
| ~ v8_functor0(x,u,v)
| v3_struct_0(v)
| v3_struct_0(u)
| equal(k13_functor0(v,u,v,w,x),k11_functor0(v)) ),
inference(spl,[status(thm),theory(equality)],[268,323]),
[iquote('0:SpL:268.4,323.6')] ).
cnf(4087,plain,
( ~ l1_altcat_1(u)
| ~ l1_altcat_1(v)
| ~ l2_altcat_1(v)
| ~ v12_altcat_1(v)
| ~ v2_altcat_1(v)
| ~ l2_altcat_1(u)
| ~ v12_altcat_1(u)
| ~ v2_altcat_1(u)
| ~ v9_functor0(w,v,u)
| ~ equal(w,k15_functor0(u,v,x))
| ~ l2_functor0(w,v,u)
| ~ v8_functor0(w,v,u)
| ~ v21_functor0(x,u,v)
| ~ l2_functor0(x,u,v)
| ~ v8_functor0(x,u,v)
| v3_struct_0(v)
| v3_struct_0(u)
| equal(k13_functor0(v,u,v,w,x),k11_functor0(v)) ),
inference(obv,[status(thm),theory(equality)],[4086]),
[iquote('0:Obv:4086.9')] ).
cnf(4088,plain,
( ~ l2_altcat_1(u)
| ~ v12_altcat_1(u)
| ~ v2_altcat_1(u)
| ~ l2_altcat_1(v)
| ~ v12_altcat_1(v)
| ~ v2_altcat_1(v)
| ~ v9_functor0(w,u,v)
| ~ equal(w,k15_functor0(v,u,x))
| ~ l2_functor0(w,u,v)
| ~ v8_functor0(w,u,v)
| ~ v21_functor0(x,v,u)
| ~ l2_functor0(x,v,u)
| ~ v8_functor0(x,v,u)
| v3_struct_0(u)
| v3_struct_0(v)
| equal(k13_functor0(u,v,u,w,x),k11_functor0(u)) ),
inference(ssi,[status(thm)],[4087,76]),
[iquote('0:SSi:4087.1,4087.0,76.1,76.1')] ).
cnf(7199,plain,
( ~ l2_altcat_1(k4_waybel34(skc13))
| ~ v12_altcat_1(k4_waybel34(skc13))
| ~ v2_altcat_1(k4_waybel34(skc13))
| ~ l2_altcat_1(k5_waybel34(skc13))
| ~ v12_altcat_1(k5_waybel34(skc13))
| ~ v2_altcat_1(k5_waybel34(skc13))
| ~ v9_functor0(k6_waybel34(skc13),k4_waybel34(skc13),k5_waybel34(skc13))
| ~ equal(k15_functor0(k5_waybel34(skc13),k4_waybel34(skc13),k7_waybel34(skc13)),k6_waybel34(skc13))
| ~ l2_functor0(k6_waybel34(skc13),k4_waybel34(skc13),k5_waybel34(skc13))
| ~ v8_functor0(k6_waybel34(skc13),k4_waybel34(skc13),k5_waybel34(skc13))
| ~ v21_functor0(k7_waybel34(skc13),k5_waybel34(skc13),k4_waybel34(skc13))
| ~ l2_functor0(k7_waybel34(skc13),k5_waybel34(skc13),k4_waybel34(skc13))
| ~ v8_functor0(k7_waybel34(skc13),k5_waybel34(skc13),k4_waybel34(skc13))
| ~ equal(k12_functor0(k4_waybel34(skc13)),k11_functor0(k4_waybel34(skc13)))
| ~ equal(k13_functor0(k5_waybel34(skc13),k4_waybel34(skc13),k5_waybel34(skc13),k7_waybel34(skc13),k6_waybel34(skc13)),k12_functor0(k5_waybel34(skc13)))
| v3_struct_0(k4_waybel34(skc13))
| v3_struct_0(k5_waybel34(skc13)) ),
inference(spl,[status(thm),theory(equality)],[4088,271]),
[iquote('0:SpL:4088.15,271.0')] ).
cnf(7211,plain,
( ~ l2_altcat_1(k4_waybel34(skc13))
| ~ v12_altcat_1(k4_waybel34(skc13))
| ~ v2_altcat_1(k4_waybel34(skc13))
| ~ l2_altcat_1(k5_waybel34(skc13))
| ~ v12_altcat_1(k5_waybel34(skc13))
| ~ v2_altcat_1(k5_waybel34(skc13))
| ~ v9_functor0(k6_waybel34(skc13),k4_waybel34(skc13),k5_waybel34(skc13))
| ~ equal(k6_waybel34(skc13),k6_waybel34(skc13))
| ~ l2_functor0(k6_waybel34(skc13),k4_waybel34(skc13),k5_waybel34(skc13))
| ~ v8_functor0(k6_waybel34(skc13),k4_waybel34(skc13),k5_waybel34(skc13))
| ~ v21_functor0(k7_waybel34(skc13),k5_waybel34(skc13),k4_waybel34(skc13))
| ~ l2_functor0(k7_waybel34(skc13),k5_waybel34(skc13),k4_waybel34(skc13))
| ~ v8_functor0(k7_waybel34(skc13),k5_waybel34(skc13),k4_waybel34(skc13))
| ~ equal(k11_functor0(k4_waybel34(skc13)),k11_functor0(k4_waybel34(skc13)))
| ~ equal(k13_functor0(k5_waybel34(skc13),k4_waybel34(skc13),k5_waybel34(skc13),k7_waybel34(skc13),k6_waybel34(skc13)),k11_functor0(k5_waybel34(skc13)))
| v3_struct_0(k4_waybel34(skc13))
| v3_struct_0(k5_waybel34(skc13)) ),
inference(rew,[status(thm),theory(equality)],[227,7199,325]),
[iquote('0:Rew:227.4,7199.14,227.4,7199.13,325.0,7199.7')] ).
cnf(7212,plain,
( ~ l2_altcat_1(k4_waybel34(skc13))
| ~ v12_altcat_1(k4_waybel34(skc13))
| ~ v2_altcat_1(k4_waybel34(skc13))
| ~ l2_altcat_1(k5_waybel34(skc13))
| ~ v12_altcat_1(k5_waybel34(skc13))
| ~ v2_altcat_1(k5_waybel34(skc13))
| ~ v9_functor0(k6_waybel34(skc13),k4_waybel34(skc13),k5_waybel34(skc13))
| ~ l2_functor0(k6_waybel34(skc13),k4_waybel34(skc13),k5_waybel34(skc13))
| ~ v8_functor0(k6_waybel34(skc13),k4_waybel34(skc13),k5_waybel34(skc13))
| ~ v21_functor0(k7_waybel34(skc13),k5_waybel34(skc13),k4_waybel34(skc13))
| ~ l2_functor0(k7_waybel34(skc13),k5_waybel34(skc13),k4_waybel34(skc13))
| ~ v8_functor0(k7_waybel34(skc13),k5_waybel34(skc13),k4_waybel34(skc13))
| ~ equal(k13_functor0(k5_waybel34(skc13),k4_waybel34(skc13),k5_waybel34(skc13),k7_waybel34(skc13),k6_waybel34(skc13)),k11_functor0(k5_waybel34(skc13)))
| v3_struct_0(k4_waybel34(skc13))
| v3_struct_0(k5_waybel34(skc13)) ),
inference(obv,[status(thm),theory(equality)],[7211]),
[iquote('0:Obv:7211.13')] ).
cnf(7213,plain,
( ~ l2_altcat_1(k4_waybel34(skc13))
| ~ l2_altcat_1(k5_waybel34(skc13))
| ~ v9_functor0(k6_waybel34(skc13),k4_waybel34(skc13),k5_waybel34(skc13))
| ~ l2_functor0(k6_waybel34(skc13),k4_waybel34(skc13),k5_waybel34(skc13))
| ~ v8_functor0(k6_waybel34(skc13),k4_waybel34(skc13),k5_waybel34(skc13))
| ~ v21_functor0(k7_waybel34(skc13),k5_waybel34(skc13),k4_waybel34(skc13))
| ~ l2_functor0(k7_waybel34(skc13),k5_waybel34(skc13),k4_waybel34(skc13))
| ~ v8_functor0(k7_waybel34(skc13),k5_waybel34(skc13),k4_waybel34(skc13))
| ~ equal(k13_functor0(k5_waybel34(skc13),k4_waybel34(skc13),k5_waybel34(skc13),k7_waybel34(skc13),k6_waybel34(skc13)),k11_functor0(k5_waybel34(skc13)))
| v3_struct_0(k4_waybel34(skc13))
| v3_struct_0(k5_waybel34(skc13)) ),
inference(ssi,[status(thm)],[7212,371,369,368,367,366,362,361,370,363,365,360,364,359,357,356,355,354,350,349,358,351,353,348,352]),
[iquote('0:SSi:7212.5,7212.4,7212.2,7212.1,371.0,369.0,368.0,367.0,366.0,362.0,361.0,370.0,363.0,365.0,360.0,364.0,371.0,369.0,368.0,367.0,366.0,362.0,361.0,370.0,363.0,365.0,360.0,364.0,359.0,357.0,356.0,355.0,354.0,350.0,349.0,358.0,351.0,353.0,348.0,352.0,359.0,357.0,356.0,355.0,354.0,350.0,349.0,358.0,351.0,353.0,348.0,352.0')] ).
cnf(7214,plain,
( ~ l2_altcat_1(k4_waybel34(skc13))
| ~ l2_altcat_1(k5_waybel34(skc13))
| ~ l2_functor0(k6_waybel34(skc13),k4_waybel34(skc13),k5_waybel34(skc13))
| ~ l2_functor0(k7_waybel34(skc13),k5_waybel34(skc13),k4_waybel34(skc13))
| ~ equal(k13_functor0(k5_waybel34(skc13),k4_waybel34(skc13),k5_waybel34(skc13),k7_waybel34(skc13),k6_waybel34(skc13)),k11_functor0(k5_waybel34(skc13))) ),
inference(mrr,[status(thm)],[7213,330,329,343,337,344,345]),
[iquote('0:MRR:7213.2,7213.4,7213.5,7213.7,7213.9,7213.10,330.0,329.0,343.0,337.0,344.0,345.0')] ).
cnf(7215,plain,
( ~ l2_altcat_1(k4_waybel34(skc13))
| ~ l2_altcat_1(k5_waybel34(skc13))
| ~ equal(k13_functor0(k5_waybel34(skc13),k4_waybel34(skc13),k5_waybel34(skc13),k7_waybel34(skc13),k6_waybel34(skc13)),k11_functor0(k5_waybel34(skc13))) ),
inference(mrr,[status(thm)],[7214,2527,2529]),
[iquote('0:MRR:7214.2,7214.3,2527.2,2529.2')] ).
cnf(9348,plain,
( ~ l2_altcat_1(k4_waybel34(skc13))
| l2_functor0(k6_waybel34(skc13),k4_waybel34(skc13),k5_waybel34(skc13))
| v1_xboole_0(skc13) ),
inference(sor,[status(thm)],[2527,74]),
[iquote('0:SoR:2527.0,74.1')] ).
cnf(9349,plain,
l2_functor0(k6_waybel34(skc13),k4_waybel34(skc13),k5_waybel34(skc13)),
inference(mrr,[status(thm)],[9348,68,347]),
[iquote('0:MRR:9348.0,9348.2,68.1,347.0')] ).
cnf(9360,plain,
( ~ l2_altcat_1(k5_waybel34(skc13))
| l2_functor0(k7_waybel34(skc13),k5_waybel34(skc13),k4_waybel34(skc13))
| v1_xboole_0(skc13) ),
inference(sor,[status(thm)],[2529,68]),
[iquote('0:SoR:2529.0,68.1')] ).
cnf(9361,plain,
l2_functor0(k7_waybel34(skc13),k5_waybel34(skc13),k4_waybel34(skc13)),
inference(mrr,[status(thm)],[9360,74,347]),
[iquote('0:MRR:9360.0,9360.2,74.1,347.0')] ).
cnf(9760,plain,
( ~ l2_altcat_1(k5_waybel34(skc13))
| ~ equal(k13_functor0(k5_waybel34(skc13),k4_waybel34(skc13),k5_waybel34(skc13),k7_waybel34(skc13),k6_waybel34(skc13)),k11_functor0(k5_waybel34(skc13)))
| v1_xboole_0(skc13) ),
inference(sor,[status(thm)],[7215,68]),
[iquote('0:SoR:7215.0,68.1')] ).
cnf(9761,plain,
~ equal(k13_functor0(k5_waybel34(skc13),k4_waybel34(skc13),k5_waybel34(skc13),k7_waybel34(skc13),k6_waybel34(skc13)),k11_functor0(k5_waybel34(skc13))),
inference(mrr,[status(thm)],[9760,74,347]),
[iquote('0:MRR:9760.0,9760.2,74.1,347.0')] ).
cnf(16025,plain,
( ~ l2_altcat_1(k5_waybel34(skc13))
| ~ v12_altcat_1(k5_waybel34(skc13))
| ~ v2_altcat_1(k5_waybel34(skc13))
| ~ l2_altcat_1(k4_waybel34(skc13))
| ~ v12_altcat_1(k4_waybel34(skc13))
| ~ v2_altcat_1(k4_waybel34(skc13))
| ~ v9_functor0(k7_waybel34(skc13),k5_waybel34(skc13),k4_waybel34(skc13))
| ~ equal(k15_functor0(k4_waybel34(skc13),k5_waybel34(skc13),k6_waybel34(skc13)),k7_waybel34(skc13))
| ~ l2_functor0(k7_waybel34(skc13),k5_waybel34(skc13),k4_waybel34(skc13))
| ~ v8_functor0(k7_waybel34(skc13),k5_waybel34(skc13),k4_waybel34(skc13))
| ~ v21_functor0(k6_waybel34(skc13),k4_waybel34(skc13),k5_waybel34(skc13))
| ~ l2_functor0(k6_waybel34(skc13),k4_waybel34(skc13),k5_waybel34(skc13))
| ~ v8_functor0(k6_waybel34(skc13),k4_waybel34(skc13),k5_waybel34(skc13))
| ~ equal(k11_functor0(k5_waybel34(skc13)),k11_functor0(k5_waybel34(skc13)))
| v3_struct_0(k5_waybel34(skc13))
| v3_struct_0(k4_waybel34(skc13)) ),
inference(spl,[status(thm),theory(equality)],[4088,9761]),
[iquote('0:SpL:4088.15,9761.0')] ).
cnf(16026,plain,
( ~ l2_altcat_1(k5_waybel34(skc13))
| ~ v12_altcat_1(k5_waybel34(skc13))
| ~ v2_altcat_1(k5_waybel34(skc13))
| ~ l2_altcat_1(k4_waybel34(skc13))
| ~ v12_altcat_1(k4_waybel34(skc13))
| ~ v2_altcat_1(k4_waybel34(skc13))
| ~ v9_functor0(k7_waybel34(skc13),k5_waybel34(skc13),k4_waybel34(skc13))
| ~ equal(k15_functor0(k4_waybel34(skc13),k5_waybel34(skc13),k6_waybel34(skc13)),k7_waybel34(skc13))
| ~ l2_functor0(k7_waybel34(skc13),k5_waybel34(skc13),k4_waybel34(skc13))
| ~ v8_functor0(k7_waybel34(skc13),k5_waybel34(skc13),k4_waybel34(skc13))
| ~ v21_functor0(k6_waybel34(skc13),k4_waybel34(skc13),k5_waybel34(skc13))
| ~ l2_functor0(k6_waybel34(skc13),k4_waybel34(skc13),k5_waybel34(skc13))
| ~ v8_functor0(k6_waybel34(skc13),k4_waybel34(skc13),k5_waybel34(skc13))
| v3_struct_0(k5_waybel34(skc13))
| v3_struct_0(k4_waybel34(skc13)) ),
inference(obv,[status(thm),theory(equality)],[16025]),
[iquote('0:Obv:16025.13')] ).
cnf(16027,plain,
( ~ l2_altcat_1(k5_waybel34(skc13))
| ~ v12_altcat_1(k5_waybel34(skc13))
| ~ v2_altcat_1(k5_waybel34(skc13))
| ~ l2_altcat_1(k4_waybel34(skc13))
| ~ v12_altcat_1(k4_waybel34(skc13))
| ~ v2_altcat_1(k4_waybel34(skc13))
| ~ v9_functor0(k7_waybel34(skc13),k5_waybel34(skc13),k4_waybel34(skc13))
| ~ equal(k7_waybel34(skc13),k7_waybel34(skc13))
| ~ l2_functor0(k7_waybel34(skc13),k5_waybel34(skc13),k4_waybel34(skc13))
| ~ v8_functor0(k7_waybel34(skc13),k5_waybel34(skc13),k4_waybel34(skc13))
| ~ v21_functor0(k6_waybel34(skc13),k4_waybel34(skc13),k5_waybel34(skc13))
| ~ l2_functor0(k6_waybel34(skc13),k4_waybel34(skc13),k5_waybel34(skc13))
| ~ v8_functor0(k6_waybel34(skc13),k4_waybel34(skc13),k5_waybel34(skc13))
| v3_struct_0(k5_waybel34(skc13))
| v3_struct_0(k4_waybel34(skc13)) ),
inference(rew,[status(thm),theory(equality)],[324,16026]),
[iquote('0:Rew:324.0,16026.7')] ).
cnf(16028,plain,
( ~ l2_altcat_1(k5_waybel34(skc13))
| ~ v12_altcat_1(k5_waybel34(skc13))
| ~ v2_altcat_1(k5_waybel34(skc13))
| ~ l2_altcat_1(k4_waybel34(skc13))
| ~ v12_altcat_1(k4_waybel34(skc13))
| ~ v2_altcat_1(k4_waybel34(skc13))
| ~ v9_functor0(k7_waybel34(skc13),k5_waybel34(skc13),k4_waybel34(skc13))
| ~ l2_functor0(k7_waybel34(skc13),k5_waybel34(skc13),k4_waybel34(skc13))
| ~ v8_functor0(k7_waybel34(skc13),k5_waybel34(skc13),k4_waybel34(skc13))
| ~ v21_functor0(k6_waybel34(skc13),k4_waybel34(skc13),k5_waybel34(skc13))
| ~ l2_functor0(k6_waybel34(skc13),k4_waybel34(skc13),k5_waybel34(skc13))
| ~ v8_functor0(k6_waybel34(skc13),k4_waybel34(skc13),k5_waybel34(skc13))
| v3_struct_0(k5_waybel34(skc13))
| v3_struct_0(k4_waybel34(skc13)) ),
inference(obv,[status(thm),theory(equality)],[16027]),
[iquote('0:Obv:16027.7')] ).
cnf(16029,plain,
( ~ l2_altcat_1(k5_waybel34(skc13))
| ~ l2_altcat_1(k4_waybel34(skc13))
| ~ v9_functor0(k7_waybel34(skc13),k5_waybel34(skc13),k4_waybel34(skc13))
| ~ l2_functor0(k7_waybel34(skc13),k5_waybel34(skc13),k4_waybel34(skc13))
| ~ v8_functor0(k7_waybel34(skc13),k5_waybel34(skc13),k4_waybel34(skc13))
| ~ v21_functor0(k6_waybel34(skc13),k4_waybel34(skc13),k5_waybel34(skc13))
| ~ l2_functor0(k6_waybel34(skc13),k4_waybel34(skc13),k5_waybel34(skc13))
| ~ v8_functor0(k6_waybel34(skc13),k4_waybel34(skc13),k5_waybel34(skc13))
| v3_struct_0(k5_waybel34(skc13))
| v3_struct_0(k4_waybel34(skc13)) ),
inference(ssi,[status(thm)],[16028,359,357,356,355,354,350,349,358,351,353,348,352,371,369,368,367,366,362,361,370,363,365,360,364]),
[iquote('0:SSi:16028.5,16028.4,16028.2,16028.1,359.0,357.0,356.0,355.0,354.0,350.0,349.0,358.0,351.0,353.0,348.0,352.0,359.0,357.0,356.0,355.0,354.0,350.0,349.0,358.0,351.0,353.0,348.0,352.0,371.0,369.0,368.0,367.0,366.0,362.0,361.0,370.0,363.0,365.0,360.0,364.0,371.0,369.0,368.0,367.0,366.0,362.0,361.0,370.0,363.0,365.0,360.0,364.0')] ).
cnf(16030,plain,
( ~ l2_altcat_1(k5_waybel34(skc13))
| ~ l2_altcat_1(k4_waybel34(skc13)) ),
inference(mrr,[status(thm)],[16029,338,9361,337,335,9349,329,345,344]),
[iquote('0:MRR:16029.2,16029.3,16029.4,16029.5,16029.6,16029.7,16029.8,16029.9,338.0,9361.0,337.0,335.0,9349.0,329.0,345.0,344.0')] ).
cnf(16031,plain,
( ~ l2_altcat_1(k4_waybel34(skc13))
| v1_xboole_0(skc13) ),
inference(sor,[status(thm)],[16030,74]),
[iquote('0:SoR:16030.0,74.1')] ).
cnf(16032,plain,
$false,
inference(mrr,[status(thm)],[16031,68,347]),
[iquote('0:MRR:16031.0,16031.1,68.1,347.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LAT361+1 : TPTP v8.1.0. Released v3.4.0.
% 0.07/0.12 % Command : run_spass %d %s
% 0.12/0.33 % Computer : n027.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 : Wed Jun 29 20:13:05 EDT 2022
% 0.12/0.34 % CPUTime :
% 7.64/7.89
% 7.64/7.89 SPASS V 3.9
% 7.64/7.89 SPASS beiseite: Proof found.
% 7.64/7.89 % SZS status Theorem
% 7.64/7.89 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 7.64/7.89 SPASS derived 14697 clauses, backtracked 0 clauses, performed 0 splits and kept 9093 clauses.
% 7.64/7.89 SPASS allocated 108107 KBytes.
% 7.64/7.89 SPASS spent 0:00:07.54 on the problem.
% 7.64/7.89 0:00:00.04 for the input.
% 7.64/7.89 0:00:00.33 for the FLOTTER CNF translation.
% 7.64/7.89 0:00:00.31 for inferences.
% 7.64/7.89 0:00:00.00 for the backtracking.
% 7.64/7.89 0:00:06.15 for the reduction.
% 7.64/7.89
% 7.64/7.89
% 7.64/7.89 Here is a proof with depth 5, length 115 :
% 7.64/7.89 % SZS output start Refutation
% See solution above
% 7.86/8.12 Formulae used in the proof : t19_waybel34 cc2_setfam_1 dt_k4_waybel34 dt_k5_waybel34 dt_l2_altcat_1 fc5_waybel34 fc6_waybel34 dt_k6_waybel34 dt_k7_waybel34 fc7_waybel34 fc8_waybel34 cc2_functor0 t18_waybel34 redefinition_k12_functor0 dt_m2_functor0 abstractness_v9_functor0 t21_functor1
% 7.86/8.12
%------------------------------------------------------------------------------