%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : LAT362+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n004.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 06:51:27 EDT 2022
% Result : Theorem 0.61s 0.79s
% Output : Refutation 0.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 35
% Syntax : Number of clauses : 70 ( 33 unt; 32 nHn; 70 RR)
% Number of literals : 131 ( 0 equ; 32 neg)
% Maximal clause size : 12 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 21 ( 20 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-1 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(40,axiom,
~ v2_setfam_1(skc13),
file('LAT362+1.p',unknown),
[] ).
cnf(60,axiom,
( ~ v1_xboole_0(u)
| v2_setfam_1(u) ),
file('LAT362+1.p',unknown),
[] ).
cnf(68,axiom,
( v1_xboole_0(u)
| l2_altcat_1(k4_waybel34(u)) ),
file('LAT362+1.p',unknown),
[] ).
cnf(74,axiom,
( v1_xboole_0(u)
| l2_altcat_1(k5_waybel34(u)) ),
file('LAT362+1.p',unknown),
[] ).
cnf(77,axiom,
( v2_setfam_1(u)
| v2_altcat_1(k4_waybel34(u)) ),
file('LAT362+1.p',unknown),
[] ).
cnf(78,axiom,
( v2_setfam_1(u)
| v6_altcat_1(k4_waybel34(u)) ),
file('LAT362+1.p',unknown),
[] ).
cnf(79,axiom,
( v2_setfam_1(u)
| v9_altcat_1(k4_waybel34(u)) ),
file('LAT362+1.p',unknown),
[] ).
cnf(80,axiom,
( v2_setfam_1(u)
| v11_altcat_1(k4_waybel34(u)) ),
file('LAT362+1.p',unknown),
[] ).
cnf(81,axiom,
( v2_setfam_1(u)
| v12_altcat_1(k4_waybel34(u)) ),
file('LAT362+1.p',unknown),
[] ).
cnf(82,axiom,
( v2_setfam_1(u)
| v1_altcat_2(k4_waybel34(u)) ),
file('LAT362+1.p',unknown),
[] ).
cnf(83,axiom,
( v2_setfam_1(u)
| v2_yellow18(k4_waybel34(u)) ),
file('LAT362+1.p',unknown),
[] ).
cnf(84,axiom,
( v2_setfam_1(u)
| v3_yellow18(k4_waybel34(u)) ),
file('LAT362+1.p',unknown),
[] ).
cnf(85,axiom,
( v2_setfam_1(u)
| v4_yellow18(k4_waybel34(u)) ),
file('LAT362+1.p',unknown),
[] ).
cnf(86,axiom,
( v2_setfam_1(u)
| v1_yellow21(k4_waybel34(u)) ),
file('LAT362+1.p',unknown),
[] ).
cnf(87,axiom,
( v2_setfam_1(u)
| v2_yellow21(k4_waybel34(u)) ),
file('LAT362+1.p',unknown),
[] ).
cnf(88,axiom,
( v2_setfam_1(u)
| v3_yellow21(k4_waybel34(u)) ),
file('LAT362+1.p',unknown),
[] ).
cnf(89,axiom,
( v2_setfam_1(u)
| v2_altcat_1(k5_waybel34(u)) ),
file('LAT362+1.p',unknown),
[] ).
cnf(90,axiom,
( v2_setfam_1(u)
| v6_altcat_1(k5_waybel34(u)) ),
file('LAT362+1.p',unknown),
[] ).
cnf(91,axiom,
( v2_setfam_1(u)
| v9_altcat_1(k5_waybel34(u)) ),
file('LAT362+1.p',unknown),
[] ).
cnf(92,axiom,
( v2_setfam_1(u)
| v11_altcat_1(k5_waybel34(u)) ),
file('LAT362+1.p',unknown),
[] ).
cnf(93,axiom,
( v2_setfam_1(u)
| v12_altcat_1(k5_waybel34(u)) ),
file('LAT362+1.p',unknown),
[] ).
cnf(94,axiom,
( v2_setfam_1(u)
| v1_altcat_2(k5_waybel34(u)) ),
file('LAT362+1.p',unknown),
[] ).
cnf(95,axiom,
( v2_setfam_1(u)
| v2_yellow18(k5_waybel34(u)) ),
file('LAT362+1.p',unknown),
[] ).
cnf(96,axiom,
( v2_setfam_1(u)
| v3_yellow18(k5_waybel34(u)) ),
file('LAT362+1.p',unknown),
[] ).
cnf(97,axiom,
( v2_setfam_1(u)
| v4_yellow18(k5_waybel34(u)) ),
file('LAT362+1.p',unknown),
[] ).
cnf(98,axiom,
( v2_setfam_1(u)
| v1_yellow21(k5_waybel34(u)) ),
file('LAT362+1.p',unknown),
[] ).
cnf(99,axiom,
( v2_setfam_1(u)
| v2_yellow21(k5_waybel34(u)) ),
file('LAT362+1.p',unknown),
[] ).
cnf(100,axiom,
( v2_setfam_1(u)
| v3_yellow21(k5_waybel34(u)) ),
file('LAT362+1.p',unknown),
[] ).
cnf(105,axiom,
~ r2_functor0(k4_waybel34(skc13),k5_waybel34(skc13)),
file('LAT362+1.p',unknown),
[] ).
cnf(112,axiom,
( ~ v3_struct_0(k4_waybel34(u))
| v2_setfam_1(u) ),
file('LAT362+1.p',unknown),
[] ).
cnf(113,axiom,
( ~ v3_struct_0(k5_waybel34(u))
| v2_setfam_1(u) ),
file('LAT362+1.p',unknown),
[] ).
cnf(142,axiom,
( v2_setfam_1(u)
| m2_functor0(k6_waybel34(u),k4_waybel34(u),k5_waybel34(u)) ),
file('LAT362+1.p',unknown),
[] ).
cnf(150,axiom,
( v2_setfam_1(u)
| v16_functor0(k6_waybel34(u),k4_waybel34(u),k5_waybel34(u)) ),
file('LAT362+1.p',unknown),
[] ).
cnf(151,axiom,
( v2_setfam_1(u)
| v21_functor0(k6_waybel34(u),k4_waybel34(u),k5_waybel34(u)) ),
file('LAT362+1.p',unknown),
[] ).
cnf(245,axiom,
( ~ l2_altcat_1(u)
| ~ v12_altcat_1(u)
| ~ v2_altcat_1(u)
| ~ l2_altcat_1(v)
| ~ v12_altcat_1(v)
| ~ v2_altcat_1(v)
| ~ v16_functor0(w,v,u)
| ~ v21_functor0(w,v,u)
| ~ m2_functor0(w,v,u)
| v3_struct_0(u)
| v3_struct_0(v)
| r2_functor0(v,u) ),
file('LAT362+1.p',unknown),
[] ).
cnf(253,plain,
m2_functor0(k6_waybel34(skc13),k4_waybel34(skc13),k5_waybel34(skc13)),
inference(res,[status(thm),theory(equality)],[142,40]),
[iquote('0:Res:142.1,40.0')] ).
cnf(260,plain,
v16_functor0(k6_waybel34(skc13),k4_waybel34(skc13),k5_waybel34(skc13)),
inference(res,[status(thm),theory(equality)],[150,40]),
[iquote('0:Res:150.1,40.0')] ).
cnf(261,plain,
v21_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(262,plain,
~ v3_struct_0(k4_waybel34(skc13)),
inference(res,[status(thm),theory(equality)],[112,40]),
[iquote('0:Res:112.1,40.0')] ).
cnf(263,plain,
~ v3_struct_0(k5_waybel34(skc13)),
inference(res,[status(thm),theory(equality)],[113,40]),
[iquote('0:Res:113.1,40.0')] ).
cnf(265,plain,
~ v1_xboole_0(skc13),
inference(res,[status(thm),theory(equality)],[60,40]),
[iquote('0:Res:60.1,40.0')] ).
cnf(266,plain,
v2_altcat_1(k4_waybel34(skc13)),
inference(res,[status(thm),theory(equality)],[77,40]),
[iquote('0:Res:77.1,40.0')] ).
cnf(267,plain,
v6_altcat_1(k4_waybel34(skc13)),
inference(res,[status(thm),theory(equality)],[78,40]),
[iquote('0:Res:78.1,40.0')] ).
cnf(268,plain,
v9_altcat_1(k4_waybel34(skc13)),
inference(res,[status(thm),theory(equality)],[79,40]),
[iquote('0:Res:79.1,40.0')] ).
cnf(269,plain,
v11_altcat_1(k4_waybel34(skc13)),
inference(res,[status(thm),theory(equality)],[80,40]),
[iquote('0:Res:80.1,40.0')] ).
cnf(270,plain,
v12_altcat_1(k4_waybel34(skc13)),
inference(res,[status(thm),theory(equality)],[81,40]),
[iquote('0:Res:81.1,40.0')] ).
cnf(271,plain,
v1_altcat_2(k4_waybel34(skc13)),
inference(res,[status(thm),theory(equality)],[82,40]),
[iquote('0:Res:82.1,40.0')] ).
cnf(272,plain,
v2_yellow18(k4_waybel34(skc13)),
inference(res,[status(thm),theory(equality)],[83,40]),
[iquote('0:Res:83.1,40.0')] ).
cnf(273,plain,
v3_yellow18(k4_waybel34(skc13)),
inference(res,[status(thm),theory(equality)],[84,40]),
[iquote('0:Res:84.1,40.0')] ).
cnf(274,plain,
v4_yellow18(k4_waybel34(skc13)),
inference(res,[status(thm),theory(equality)],[85,40]),
[iquote('0:Res:85.1,40.0')] ).
cnf(275,plain,
v1_yellow21(k4_waybel34(skc13)),
inference(res,[status(thm),theory(equality)],[86,40]),
[iquote('0:Res:86.1,40.0')] ).
cnf(276,plain,
v2_yellow21(k4_waybel34(skc13)),
inference(res,[status(thm),theory(equality)],[87,40]),
[iquote('0:Res:87.1,40.0')] ).
cnf(277,plain,
v3_yellow21(k4_waybel34(skc13)),
inference(res,[status(thm),theory(equality)],[88,40]),
[iquote('0:Res:88.1,40.0')] ).
cnf(278,plain,
v2_altcat_1(k5_waybel34(skc13)),
inference(res,[status(thm),theory(equality)],[89,40]),
[iquote('0:Res:89.1,40.0')] ).
cnf(279,plain,
v6_altcat_1(k5_waybel34(skc13)),
inference(res,[status(thm),theory(equality)],[90,40]),
[iquote('0:Res:90.1,40.0')] ).
cnf(280,plain,
v9_altcat_1(k5_waybel34(skc13)),
inference(res,[status(thm),theory(equality)],[91,40]),
[iquote('0:Res:91.1,40.0')] ).
cnf(281,plain,
v11_altcat_1(k5_waybel34(skc13)),
inference(res,[status(thm),theory(equality)],[92,40]),
[iquote('0:Res:92.1,40.0')] ).
cnf(282,plain,
v12_altcat_1(k5_waybel34(skc13)),
inference(res,[status(thm),theory(equality)],[93,40]),
[iquote('0:Res:93.1,40.0')] ).
cnf(283,plain,
v1_altcat_2(k5_waybel34(skc13)),
inference(res,[status(thm),theory(equality)],[94,40]),
[iquote('0:Res:94.1,40.0')] ).
cnf(284,plain,
v2_yellow18(k5_waybel34(skc13)),
inference(res,[status(thm),theory(equality)],[95,40]),
[iquote('0:Res:95.1,40.0')] ).
cnf(285,plain,
v3_yellow18(k5_waybel34(skc13)),
inference(res,[status(thm),theory(equality)],[96,40]),
[iquote('0:Res:96.1,40.0')] ).
cnf(286,plain,
v4_yellow18(k5_waybel34(skc13)),
inference(res,[status(thm),theory(equality)],[97,40]),
[iquote('0:Res:97.1,40.0')] ).
cnf(287,plain,
v1_yellow21(k5_waybel34(skc13)),
inference(res,[status(thm),theory(equality)],[98,40]),
[iquote('0:Res:98.1,40.0')] ).
cnf(288,plain,
v2_yellow21(k5_waybel34(skc13)),
inference(res,[status(thm),theory(equality)],[99,40]),
[iquote('0:Res:99.1,40.0')] ).
cnf(289,plain,
v3_yellow21(k5_waybel34(skc13)),
inference(res,[status(thm),theory(equality)],[100,40]),
[iquote('0:Res:100.1,40.0')] ).
cnf(2308,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))
| ~ v16_functor0(k6_waybel34(skc13),k4_waybel34(skc13),k5_waybel34(skc13))
| ~ m2_functor0(k6_waybel34(skc13),k4_waybel34(skc13),k5_waybel34(skc13))
| v3_struct_0(k5_waybel34(skc13))
| v3_struct_0(k4_waybel34(skc13))
| r2_functor0(k4_waybel34(skc13),k5_waybel34(skc13)) ),
inference(res,[status(thm),theory(equality)],[261,245]),
[iquote('0:Res:261.0,245.7')] ).
cnf(2311,plain,
( ~ l2_altcat_1(k5_waybel34(skc13))
| ~ l2_altcat_1(k4_waybel34(skc13))
| ~ v16_functor0(k6_waybel34(skc13),k4_waybel34(skc13),k5_waybel34(skc13))
| ~ m2_functor0(k6_waybel34(skc13),k4_waybel34(skc13),k5_waybel34(skc13))
| v3_struct_0(k5_waybel34(skc13))
| v3_struct_0(k4_waybel34(skc13))
| r2_functor0(k4_waybel34(skc13),k5_waybel34(skc13)) ),
inference(ssi,[status(thm)],[2308,277,275,274,273,272,268,267,271,276,269,266,270,289,287,286,285,284,280,279,283,288,281,278,282]),
[iquote('0:SSi:2308.5,2308.4,2308.2,2308.1,277.0,275.0,274.0,273.0,272.0,268.0,267.0,271.0,276.0,269.0,266.0,270.0,277.0,275.0,274.0,273.0,272.0,268.0,267.0,271.0,276.0,269.0,266.0,270.0,289.0,287.0,286.0,285.0,284.0,280.0,279.0,283.0,288.0,281.0,278.0,282.0,289.0,287.0,286.0,285.0,284.0,280.0,279.0,283.0,288.0,281.0,278.0,282.0')] ).
cnf(2312,plain,
( ~ l2_altcat_1(k5_waybel34(skc13))
| ~ l2_altcat_1(k4_waybel34(skc13)) ),
inference(mrr,[status(thm)],[2311,260,253,263,262,105]),
[iquote('0:MRR:2311.2,2311.3,2311.4,2311.5,2311.6,260.0,253.0,263.0,262.0,105.0')] ).
cnf(2314,plain,
( ~ l2_altcat_1(k4_waybel34(skc13))
| v1_xboole_0(skc13) ),
inference(sor,[status(thm)],[2312,74]),
[iquote('0:SoR:2312.0,74.1')] ).
cnf(2315,plain,
$false,
inference(mrr,[status(thm)],[2314,68,265]),
[iquote('0:MRR:2314.0,2314.1,68.1,265.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : LAT362+1 : TPTP v8.1.0. Released v3.4.0.
% 0.13/0.13 % Command : run_spass %d %s
% 0.14/0.34 % Computer : n004.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Thu Jun 30 07:08:38 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.61/0.79
% 0.61/0.79 SPASS V 3.9
% 0.61/0.79 SPASS beiseite: Proof found.
% 0.61/0.79 % SZS status Theorem
% 0.61/0.79 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.61/0.79 SPASS derived 1989 clauses, backtracked 0 clauses, performed 0 splits and kept 1515 clauses.
% 0.61/0.79 SPASS allocated 99285 KBytes.
% 0.61/0.79 SPASS spent 0:00:00.43 on the problem.
% 0.61/0.79 0:00:00.04 for the input.
% 0.61/0.79 0:00:00.07 for the FLOTTER CNF translation.
% 0.61/0.79 0:00:00.03 for inferences.
% 0.61/0.79 0:00:00.00 for the backtracking.
% 0.61/0.79 0:00:00.24 for the reduction.
% 0.61/0.79
% 0.61/0.79
% 0.61/0.79 Here is a proof with depth 3, length 70 :
% 0.61/0.79 % SZS output start Refutation
% See solution above
% 0.61/0.79 Formulae used in the proof : t20_waybel34 cc2_setfam_1 dt_k4_waybel34 dt_k5_waybel34 fc5_waybel34 fc6_waybel34 dt_k6_waybel34 fc7_waybel34 d41_functor0
% 0.61/0.79
%------------------------------------------------------------------------------