TSTP Solution File: GEO652+1 by SPASS---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : GEO652+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm  : none
% Format   : tptp
% Command  : run_spass %d %s

% Computer : n020.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 06:25:44 EDT 2022

% Result   : Theorem 16.07s 16.41s
% Output   : Refutation 16.07s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   20
%            Number of leaves      :   34
% Syntax   : Number of clauses     :  111 (  27 unt;   6 nHn; 111 RR)
%            Number of literals    :  249 (   0 equ; 133 neg)
%            Maximal clause size   :    6 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    9 (   8 usr;   1 prp; 0-8 aty)
%            Number of functors    :   19 (  19 usr;  17 con; 0-3 aty)
%            Number of variables   :    0 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(2,axiom,
    coll(skc30,skc26,skc25),
    file('GEO652+1.p',unknown),
    [] ).

cnf(13,axiom,
    circle(skc29,skc30,skc27,skc42),
    file('GEO652+1.p',unknown),
    [] ).

cnf(15,axiom,
    ~ para(skc22,skc23,skc24,skc25),
    file('GEO652+1.p',unknown),
    [] ).

cnf(16,axiom,
    ( ~ coll(u,v,w)
    | coll(u,w,v) ),
    file('GEO652+1.p',unknown),
    [] ).

cnf(17,axiom,
    ( ~ coll(u,v,w)
    | coll(v,u,w) ),
    file('GEO652+1.p',unknown),
    [] ).

cnf(20,axiom,
    ( ~ para(u,v,u,w)
    | coll(u,v,w) ),
    file('GEO652+1.p',unknown),
    [] ).

cnf(21,axiom,
    ( ~ midp(u,v,w)
    | cong(u,v,u,w) ),
    file('GEO652+1.p',unknown),
    [] ).

cnf(23,axiom,
    ( ~ para(u,v,w,x)
    | para(w,x,u,v) ),
    file('GEO652+1.p',unknown),
    [] ).

cnf(24,axiom,
    ( ~ perp(u,v,w,x)
    | perp(u,v,x,w) ),
    file('GEO652+1.p',unknown),
    [] ).

cnf(25,axiom,
    ( ~ perp(u,v,w,x)
    | perp(w,x,u,v) ),
    file('GEO652+1.p',unknown),
    [] ).

cnf(28,axiom,
    ( ~ cyclic(u,v,w,x)
    | cyclic(v,u,w,x) ),
    file('GEO652+1.p',unknown),
    [] ).

cnf(32,axiom,
    ( ~ circle(u,v,w,x)
    | perp(skf31(u,v),v,v,u) ),
    file('GEO652+1.p',unknown),
    [] ).

cnf(40,axiom,
    ( ~ eqangle(u,v,w,x,y,z,w,x)
    | para(u,v,y,z) ),
    file('GEO652+1.p',unknown),
    [] ).

cnf(41,axiom,
    ( ~ para(u,v,w,x)
    | eqangle(u,v,y,z,w,x,y,z) ),
    file('GEO652+1.p',unknown),
    [] ).

cnf(42,axiom,
    ( ~ cyclic(u,v,w,x)
    | eqangle(w,u,w,v,x,u,x,v) ),
    file('GEO652+1.p',unknown),
    [] ).

cnf(44,axiom,
    ( ~ cong(u,v,u,w)
    | eqangle(u,v,v,w,v,w,u,w) ),
    file('GEO652+1.p',unknown),
    [] ).

cnf(46,axiom,
    ( ~ coll(u,v,w)
    | ~ cong(u,v,u,w)
    | midp(u,v,w) ),
    file('GEO652+1.p',unknown),
    [] ).

cnf(48,axiom,
    ( ~ coll(u,v,w)
    | ~ circle(u,v,x,w)
    | perp(v,x,x,w) ),
    file('GEO652+1.p',unknown),
    [] ).

cnf(51,axiom,
    ( ~ perp(u,v,w,x)
    | ~ perp(y,z,u,v)
    | para(y,z,w,x) ),
    file('GEO652+1.p',unknown),
    [] ).

cnf(53,axiom,
    ( ~ cong(u,v,u,w)
    | ~ cong(u,v,u,x)
    | circle(u,v,x,w) ),
    file('GEO652+1.p',unknown),
    [] ).

cnf(54,axiom,
    ( ~ cyclic(u,v,w,x)
    | ~ cyclic(u,v,w,y)
    | cyclic(v,w,y,x) ),
    file('GEO652+1.p',unknown),
    [] ).

cnf(56,axiom,
    ( ~ cong(u,v,w,v)
    | ~ cong(u,x,w,x)
    | perp(u,w,x,v) ),
    file('GEO652+1.p',unknown),
    [] ).

cnf(61,axiom,
    ( ~ eqangle(u,v,w,x,y,z,x1,x2)
    | eqangle(v,u,w,x,y,z,x1,x2) ),
    file('GEO652+1.p',unknown),
    [] ).

cnf(62,axiom,
    ( ~ eqangle(u,v,w,x,y,z,x1,x2)
    | eqangle(w,x,u,v,x1,x2,y,z) ),
    file('GEO652+1.p',unknown),
    [] ).

cnf(64,axiom,
    ( ~ eqangle(u,v,w,x,y,z,x1,x2)
    | eqangle(u,v,y,z,w,x,x1,x2) ),
    file('GEO652+1.p',unknown),
    [] ).

cnf(69,axiom,
    ( ~ eqangle(u,v,u,w,x,v,x,w)
    | coll(u,x,v)
    | cyclic(v,w,u,x) ),
    file('GEO652+1.p',unknown),
    [] ).

cnf(76,axiom,
    ( ~ perp(u,v,v,w)
    | ~ cyclic(u,w,v,x)
    | circle(skf35(v,w,u),u,w,v) ),
    file('GEO652+1.p',unknown),
    [] ).

cnf(86,axiom,
    ( ~ coll(u,v,w)
    | ~ eqangle(u,x,u,w,v,x,v,w)
    | cyclic(x,w,u,v) ),
    file('GEO652+1.p',unknown),
    [] ).

cnf(95,axiom,
    ( ~ midp(u,v,w)
    | ~ para(v,x,w,y)
    | ~ para(v,y,w,x)
    | midp(u,y,x) ),
    file('GEO652+1.p',unknown),
    [] ).

cnf(97,axiom,
    ( ~ para(u,v,w,x)
    | ~ cyclic(u,v,w,x)
    | eqangle(u,x,w,x,w,x,w,v) ),
    file('GEO652+1.p',unknown),
    [] ).

cnf(99,axiom,
    ( ~ perp(u,v,v,w)
    | ~ circle(u,v,x,y)
    | eqangle(v,w,v,x,y,v,y,x) ),
    file('GEO652+1.p',unknown),
    [] ).

cnf(102,axiom,
    ( ~ cyclic(u,v,w,x)
    | ~ cong(u,x,v,x)
    | ~ cong(u,w,v,w)
    | perp(w,u,u,x) ),
    file('GEO652+1.p',unknown),
    [] ).

cnf(114,axiom,
    ( ~ coll(u,v,w)
    | ~ circle(x,y,v,w)
    | ~ eqangle(y,v,y,w,x,v,x,u)
    | midp(u,v,w) ),
    file('GEO652+1.p',unknown),
    [] ).

cnf(128,axiom,
    ( ~ cyclic(u,v,w,x)
    | ~ cyclic(u,v,w,y)
    | ~ cyclic(u,v,w,z)
    | ~ eqangle(w,u,w,v,z,x,z,y)
    | cong(u,v,x,y) ),
    file('GEO652+1.p',unknown),
    [] ).

cnf(179,plain,
    ( ~ circle(skc30,skc26,u,skc25)
    | perp(skc26,u,u,skc25) ),
    inference(res,[status(thm),theory(equality)],[2,48]),
    [iquote('0:Res:2.0,48.1')] ).

cnf(236,plain,
    perp(skf31(skc29,skc30),skc30,skc30,skc29),
    inference(res,[status(thm),theory(equality)],[13,32]),
    [iquote('0:Res:13.0,32.0')] ).

cnf(348,plain,
    perp(skc30,skc29,skf31(skc29,skc30),skc30),
    inference(res,[status(thm),theory(equality)],[236,25]),
    [iquote('0:Res:236.0,25.0')] ).

cnf(601,plain,
    ( ~ cong(u,u,u,v)
    | para(u,u,u,v) ),
    inference(res,[status(thm),theory(equality)],[44,40]),
    [iquote('0:Res:44.1,40.0')] ).

cnf(706,plain,
    ( ~ midp(u,v,w)
    | ~ cong(u,v,u,x)
    | circle(u,v,x,w) ),
    inference(res,[status(thm),theory(equality)],[21,53]),
    [iquote('0:Res:21.1,53.0')] ).

cnf(806,plain,
    ( ~ perp(u,v,skf31(skc29,skc30),skc30)
    | para(u,v,skc30,skc29) ),
    inference(res,[status(thm),theory(equality)],[236,51]),
    [iquote('0:Res:236.0,51.0')] ).

cnf(1183,plain,
    ( ~ cong(u,u,u,u)
    | coll(u,u,u)
    | cyclic(u,u,u,u) ),
    inference(res,[status(thm),theory(equality)],[44,69]),
    [iquote('0:Res:44.1,69.0')] ).

cnf(1184,plain,
    ( ~ para(u,v,u,v)
    | coll(u,u,v)
    | cyclic(v,w,u,u) ),
    inference(res,[status(thm),theory(equality)],[41,69]),
    [iquote('0:Res:41.1,69.0')] ).

cnf(1256,plain,
    ( ~ para(u,v,w,x)
    | eqangle(u,v,w,x,y,z,y,z) ),
    inference(res,[status(thm),theory(equality)],[41,64]),
    [iquote('0:Res:41.1,64.0')] ).

cnf(1287,plain,
    ( ~ cong(u,v,u,w)
    | eqangle(v,w,u,v,u,w,v,w) ),
    inference(res,[status(thm),theory(equality)],[44,62]),
    [iquote('0:Res:44.1,62.0')] ).

cnf(1288,plain,
    ( ~ para(u,v,w,x)
    | eqangle(y,z,u,v,y,z,w,x) ),
    inference(res,[status(thm),theory(equality)],[41,62]),
    [iquote('0:Res:41.1,62.0')] ).

cnf(1523,plain,
    ( ~ cong(u,u,u,u)
    | ~ coll(u,u,u)
    | cyclic(u,u,u,u) ),
    inference(res,[status(thm),theory(equality)],[44,86]),
    [iquote('0:Res:44.1,86.1')] ).

cnf(1524,plain,
    ( ~ para(u,v,u,v)
    | ~ coll(u,u,w)
    | cyclic(v,w,u,u) ),
    inference(res,[status(thm),theory(equality)],[41,86]),
    [iquote('0:Res:41.1,86.1')] ).

cnf(1527,plain,
    ( ~ cong(u,u,u,u)
    | cyclic(u,u,u,u) ),
    inference(mrr,[status(thm)],[1523,1183]),
    [iquote('0:MRR:1523.1,1183.1')] ).

cnf(1768,plain,
    ( ~ para(u,v,w,x)
    | ~ cyclic(u,v,w,x)
    | eqangle(x,u,w,x,w,x,w,v) ),
    inference(res,[status(thm),theory(equality)],[97,61]),
    [iquote('0:Res:97.2,61.0')] ).

cnf(2972,plain,
    ( ~ cyclic(u,v,w,x)
    | ~ cyclic(u,v,w,u)
    | ~ cyclic(u,v,w,v)
    | ~ cyclic(u,v,w,x)
    | cong(u,v,u,v) ),
    inference(res,[status(thm),theory(equality)],[42,128]),
    [iquote('0:Res:42.1,128.3')] ).

cnf(2974,plain,
    ( ~ cyclic(u,v,w,u)
    | ~ cyclic(u,v,w,v)
    | ~ cyclic(u,v,w,x)
    | cong(u,v,u,v) ),
    inference(obv,[status(thm),theory(equality)],[2972]),
    [iquote('0:Obv:2972.0')] ).

cnf(2975,plain,
    ( ~ cyclic(u,v,w,u)
    | ~ cyclic(u,v,w,v)
    | cong(u,v,u,v) ),
    inference(con,[status(thm)],[2974]),
    [iquote('0:Con:2974.2')] ).

cnf(3312,plain,
    ( ~ circle(skc30,skc26,u,skc25)
    | perp(u,skc25,skc26,u) ),
    inference(res,[status(thm),theory(equality)],[179,25]),
    [iquote('0:Res:179.1,25.0')] ).

cnf(3425,plain,
    ( ~ midp(u,u,v)
    | para(u,u,u,v) ),
    inference(res,[status(thm),theory(equality)],[21,601]),
    [iquote('0:Res:21.1,601.0')] ).

cnf(3461,plain,
    ( ~ cong(u,u,u,u)
    | ~ cong(u,u,u,u)
    | ~ cong(u,u,u,u)
    | perp(u,u,u,u) ),
    inference(res,[status(thm),theory(equality)],[1527,102]),
    [iquote('0:Res:1527.1,102.0')] ).

cnf(3467,plain,
    ( ~ cong(u,u,u,u)
    | perp(u,u,u,u) ),
    inference(obv,[status(thm),theory(equality)],[3461]),
    [iquote('0:Obv:3461.1')] ).

cnf(4224,plain,
    ( ~ para(u,v,u,v)
    | coll(u,w,v)
    | cyclic(v,v,u,w) ),
    inference(res,[status(thm),theory(equality)],[1256,69]),
    [iquote('0:Res:1256.1,69.0')] ).

cnf(4235,plain,
    ( ~ para(u,v,u,v)
    | ~ coll(u,w,v)
    | cyclic(v,v,u,w) ),
    inference(res,[status(thm),theory(equality)],[1256,86]),
    [iquote('0:Res:1256.1,86.1')] ).

cnf(4251,plain,
    ( ~ para(u,v,u,v)
    | cyclic(v,v,u,w) ),
    inference(mrr,[status(thm)],[4235,4224]),
    [iquote('0:MRR:4235.1,4224.1')] ).

cnf(4473,plain,
    ( ~ cong(u,u,u,v)
    | ~ coll(v,v,u)
    | ~ circle(u,u,v,u)
    | midp(v,v,u) ),
    inference(res,[status(thm),theory(equality)],[1287,114]),
    [iquote('0:Res:1287.1,114.2')] ).

cnf(4502,plain,
    ( ~ para(u,v,u,v)
    | para(w,x,w,x) ),
    inference(res,[status(thm),theory(equality)],[1288,40]),
    [iquote('0:Res:1288.1,40.0')] ).

cnf(4713,plain,
    ( ~ midp(u,v,w)
    | ~ midp(u,v,x)
    | circle(u,v,w,x) ),
    inference(res,[status(thm),theory(equality)],[21,706]),
    [iquote('0:Res:21.1,706.1')] ).

cnf(8389,plain,
    ( ~ para(u,v,w,w)
    | ~ cyclic(u,v,w,w)
    | ~ cyclic(u,w,w,w)
    | ~ cyclic(u,w,w,v)
    | ~ cyclic(u,w,w,w)
    | cong(u,w,w,v) ),
    inference(res,[status(thm),theory(equality)],[1768,128]),
    [iquote('0:Res:1768.2,128.3')] ).

cnf(8400,plain,
    ( ~ para(u,v,w,w)
    | ~ cyclic(u,v,w,w)
    | ~ cyclic(u,w,w,v)
    | ~ cyclic(u,w,w,w)
    | cong(u,w,w,v) ),
    inference(obv,[status(thm),theory(equality)],[8389]),
    [iquote('0:Obv:8389.2')] ).

cnf(13474,plain,
    ( ~ midp(u,u,v)
    | para(u,v,u,u) ),
    inference(res,[status(thm),theory(equality)],[3425,23]),
    [iquote('0:Res:3425.1,23.0')] ).

cnf(13485,plain,
    ( ~ midp(u,u,v)
    | ~ midp(w,u,u)
    | ~ para(u,v,u,u)
    | midp(w,v,u) ),
    inference(res,[status(thm),theory(equality)],[3425,95]),
    [iquote('0:Res:3425.1,95.1')] ).

cnf(13516,plain,
    ( ~ midp(u,u,v)
    | ~ midp(w,u,u)
    | midp(w,v,u) ),
    inference(mrr,[status(thm)],[13485,13474]),
    [iquote('0:MRR:13485.2,13474.1')] ).

cnf(14677,plain,
    ( ~ circle(skc30,skc26,u,skc25)
    | perp(u,skc25,u,skc26) ),
    inference(res,[status(thm),theory(equality)],[3312,24]),
    [iquote('0:Res:3312.1,24.0')] ).

cnf(14861,plain,
    ( ~ midp(u,u,u)
    | perp(u,u,u,u) ),
    inference(res,[status(thm),theory(equality)],[21,3467]),
    [iquote('0:Res:21.1,3467.0')] ).

cnf(14873,plain,
    ( ~ midp(u,u,u)
    | ~ perp(v,w,u,u)
    | para(v,w,u,u) ),
    inference(res,[status(thm),theory(equality)],[14861,51]),
    [iquote('0:Res:14861.1,51.0')] ).

cnf(14913,plain,
    ( ~ circle(skc30,skc26,u,skc25)
    | perp(u,skc26,u,skc25) ),
    inference(res,[status(thm),theory(equality)],[14677,25]),
    [iquote('0:Res:14677.1,25.0')] ).

cnf(15125,plain,
    ( ~ circle(skc30,skc26,u,skc25)
    | ~ perp(v,w,u,skc26)
    | para(v,w,u,skc25) ),
    inference(res,[status(thm),theory(equality)],[14913,51]),
    [iquote('0:Res:14913.1,51.0')] ).

cnf(15563,plain,
    para(skc30,skc29,skc30,skc29),
    inference(res,[status(thm),theory(equality)],[348,806]),
    [iquote('0:Res:348.0,806.0')] ).

cnf(15579,plain,
    para(u,v,u,v),
    inference(res,[status(thm),theory(equality)],[15563,4502]),
    [iquote('0:Res:15563.0,4502.0')] ).

cnf(15593,plain,
    ( coll(u,u,v)
    | cyclic(v,w,u,u) ),
    inference(mrr,[status(thm)],[1184,15579]),
    [iquote('0:MRR:1184.0,15579.0')] ).

cnf(15594,plain,
    ( ~ coll(u,u,v)
    | cyclic(w,v,u,u) ),
    inference(mrr,[status(thm)],[1524,15579]),
    [iquote('0:MRR:1524.0,15579.0')] ).

cnf(15596,plain,
    cyclic(u,u,v,w),
    inference(mrr,[status(thm)],[4251,15579]),
    [iquote('0:MRR:4251.0,15579.0')] ).

cnf(15788,plain,
    ( coll(u,u,v)
    | cyclic(w,v,u,u) ),
    inference(res,[status(thm),theory(equality)],[15593,28]),
    [iquote('0:Res:15593.1,28.0')] ).

cnf(15793,plain,
    cyclic(u,v,w,w),
    inference(mrr,[status(thm)],[15788,15594]),
    [iquote('0:MRR:15788.0,15594.0')] ).

cnf(15801,plain,
    ( ~ para(u,v,w,w)
    | ~ cyclic(u,w,w,v)
    | cong(u,w,w,v) ),
    inference(mrr,[status(thm)],[8400,15793]),
    [iquote('0:MRR:8400.3,8400.1,15793.0')] ).

cnf(16881,plain,
    coll(u,v,v),
    inference(res,[status(thm),theory(equality)],[15579,20]),
    [iquote('0:Res:15579.0,20.0')] ).

cnf(17087,plain,
    coll(u,v,u),
    inference(res,[status(thm),theory(equality)],[16881,17]),
    [iquote('0:Res:16881.0,17.0')] ).

cnf(17554,plain,
    coll(u,u,v),
    inference(res,[status(thm),theory(equality)],[17087,16]),
    [iquote('0:Res:17087.0,16.0')] ).

cnf(17939,plain,
    ( ~ cong(u,u,u,v)
    | ~ circle(u,u,v,u)
    | midp(v,v,u) ),
    inference(mrr,[status(thm)],[4473,17554]),
    [iquote('0:MRR:4473.1,17554.0')] ).

cnf(18321,plain,
    ( ~ cong(u,v,u,v)
    | ~ cong(u,w,u,w)
    | perp(w,u,u,v) ),
    inference(res,[status(thm),theory(equality)],[15596,102]),
    [iquote('0:Res:15596.0,102.0')] ).

cnf(18322,plain,
    ( ~ cyclic(u,u,v,w)
    | cyclic(u,v,w,x) ),
    inference(res,[status(thm),theory(equality)],[15596,54]),
    [iquote('0:Res:15596.0,54.0')] ).

cnf(18367,plain,
    cyclic(u,v,w,x),
    inference(mrr,[status(thm)],[18322,15596]),
    [iquote('0:MRR:18322.0,15596.0')] ).

cnf(18371,plain,
    ( ~ eqangle(u,v,u,w,x,y,x,z)
    | cong(v,w,y,z) ),
    inference(mrr,[status(thm)],[128,18367]),
    [iquote('0:MRR:128.2,128.1,128.0,18367.0')] ).

cnf(18386,plain,
    ( ~ perp(u,v,v,w)
    | circle(skf35(v,w,u),u,w,v) ),
    inference(mrr,[status(thm)],[76,18367]),
    [iquote('0:MRR:76.1,18367.0')] ).

cnf(18388,plain,
    cong(u,v,u,v),
    inference(mrr,[status(thm)],[2975,18367]),
    [iquote('0:MRR:2975.1,2975.0,18367.0')] ).

cnf(18543,plain,
    ( ~ para(u,v,w,w)
    | cong(u,w,w,v) ),
    inference(mrr,[status(thm)],[15801,18367]),
    [iquote('0:MRR:15801.1,18367.0')] ).

cnf(18613,plain,
    perp(u,v,v,w),
    inference(mrr,[status(thm)],[18321,18388]),
    [iquote('0:MRR:18321.0,18321.1,18388.0,18388.0')] ).

cnf(18619,plain,
    ( ~ circle(u,v,w,x)
    | eqangle(v,y,v,w,x,v,x,w) ),
    inference(mrr,[status(thm)],[99,18613]),
    [iquote('0:MRR:99.0,18613.0')] ).

cnf(18632,plain,
    circle(skf35(u,v,w),w,v,u),
    inference(mrr,[status(thm)],[18386,18613]),
    [iquote('0:MRR:18386.0,18613.0')] ).

cnf(19582,plain,
    eqangle(u,v,u,w,x,u,x,w),
    inference(res,[status(thm),theory(equality)],[18632,18619]),
    [iquote('0:Res:18632.0,18619.0')] ).

cnf(19693,plain,
    ( ~ cong(u,v,u,w)
    | circle(u,v,w,v) ),
    inference(res,[status(thm),theory(equality)],[18388,53]),
    [iquote('0:Res:18388.0,53.0')] ).

cnf(19694,plain,
    ( ~ coll(u,v,v)
    | midp(u,v,v) ),
    inference(res,[status(thm),theory(equality)],[18388,46]),
    [iquote('0:Res:18388.0,46.1')] ).

cnf(19704,plain,
    midp(u,v,v),
    inference(mrr,[status(thm)],[19694,16881]),
    [iquote('0:MRR:19694.0,16881.0')] ).

cnf(19705,plain,
    ( ~ perp(u,v,w,w)
    | para(u,v,w,w) ),
    inference(mrr,[status(thm)],[14873,19704]),
    [iquote('0:MRR:14873.0,19704.0')] ).

cnf(19728,plain,
    ( ~ midp(u,u,v)
    | midp(w,v,u) ),
    inference(mrr,[status(thm)],[13516,19704]),
    [iquote('0:MRR:13516.1,19704.0')] ).

cnf(19901,plain,
    ( ~ cong(u,u,u,v)
    | midp(v,v,u) ),
    inference(mrr,[status(thm)],[17939,19693]),
    [iquote('0:MRR:17939.1,19693.1')] ).

cnf(19997,plain,
    cong(u,v,w,v),
    inference(res,[status(thm),theory(equality)],[19582,18371]),
    [iquote('0:Res:19582.0,18371.0')] ).

cnf(20016,plain,
    perp(u,v,w,x),
    inference(mrr,[status(thm)],[56,19997]),
    [iquote('0:MRR:56.1,56.0,19997.0')] ).

cnf(20274,plain,
    para(u,v,w,w),
    inference(mrr,[status(thm)],[19705,20016]),
    [iquote('0:MRR:19705.0,20016.0')] ).

cnf(20287,plain,
    ( ~ circle(skc30,skc26,u,skc25)
    | para(v,w,u,skc25) ),
    inference(mrr,[status(thm)],[15125,20016]),
    [iquote('0:MRR:15125.1,20016.0')] ).

cnf(20317,plain,
    cong(u,v,v,w),
    inference(mrr,[status(thm)],[18543,20274]),
    [iquote('0:MRR:18543.0,20274.0')] ).

cnf(20349,plain,
    midp(u,u,v),
    inference(mrr,[status(thm)],[19901,20317]),
    [iquote('0:MRR:19901.0,20317.0')] ).

cnf(20375,plain,
    midp(u,v,w),
    inference(mrr,[status(thm)],[19728,20349]),
    [iquote('0:MRR:19728.0,20349.0')] ).

cnf(20532,plain,
    circle(u,v,w,x),
    inference(mrr,[status(thm)],[4713,20375]),
    [iquote('0:MRR:4713.1,4713.0,20375.0')] ).

cnf(21800,plain,
    para(u,v,w,skc25),
    inference(mrr,[status(thm)],[20287,20532]),
    [iquote('0:MRR:20287.0,20532.0')] ).

cnf(21801,plain,
    $false,
    inference(unc,[status(thm)],[21800,15]),
    [iquote('0:UnC:21800.0,15.0')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : GEO652+1 : TPTP v8.1.0. Released v7.5.0.
% 0.11/0.13  % Command  : run_spass %d %s
% 0.12/0.34  % Computer : n020.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Sat Jun 18 02:45:19 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 16.07/16.41  
% 16.07/16.41  SPASS V 3.9 
% 16.07/16.41  SPASS beiseite: Proof found.
% 16.07/16.41  % SZS status Theorem
% 16.07/16.41  Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p 
% 16.07/16.41  SPASS derived 20854 clauses, backtracked 0 clauses, performed 4 splits and kept 11216 clauses.
% 16.07/16.41  SPASS allocated 100237 KBytes.
% 16.07/16.41  SPASS spent	0:0:16.04 on the problem.
% 16.07/16.41  		0:00:00.04 for the input.
% 16.07/16.41  		0:00:00.26 for the FLOTTER CNF translation.
% 16.07/16.41  		0:00:00.50 for inferences.
% 16.07/16.41  		0:00:00.10 for the backtracking.
% 16.07/16.41  		0:0:14.66 for the reduction.
% 16.07/16.41  
% 16.07/16.41  
% 16.07/16.41  Here is a proof with depth 7, length 111 :
% 16.07/16.41  % SZS output start Refutation
% See solution above
% 16.07/16.41  Formulae used in the proof : exemplo6GDDFULLmoreE02213 ruleD1 ruleD2 ruleD66 ruleD68 ruleD5 ruleD7 ruleD8 ruleD16 ruleX11 ruleD39 ruleD40 ruleD41 ruleD46 ruleD67 ruleD53 ruleD9 ruleD12 ruleD17 ruleD56 ruleD18 ruleD19 ruleD21 ruleD42a ruleX14 ruleD42b ruleD64 ruleD54 ruleD48 ruleD57 ruleD51 ruleD43
% 16.26/16.53  
%------------------------------------------------------------------------------