TSTP Solution File: SYN738-1 by SPASS---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : SYN738-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm  : none
% Format   : tptp
% Command  : run_spass %d %s

% Computer : n025.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 21 12:24:04 EDT 2022

% Result   : Satisfiable 0.20s 0.45s
% Output   : Saturation 0.20s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named 301)

% Comments : 
%------------------------------------------------------------------------------
cnf(348,plain,
    ( ~ ssPv5(u)
    | ~ ssPv7(v)
    | ~ ssRr(u,w)
    | ~ ssRr(u,x)
    | ~ ssRr(u,v)
    | ssPv4(skf1(u))
    | ssPv6(w)
    | ssPv4(u)
    | ssPv8(x)
    | ssPv6(u)
    | ssPv8(u) ),
    inference(res,[status(thm),theory(equality)],[1,130]),
    [iquote('0:Res:1.0,130.2')] ).

cnf(350,plain,
    ( ~ ssPv3(u)
    | ~ ssPv7(skf1(u))
    | ~ ssPv5(u)
    | ssPv6(skf1(u))
    | ssPv8(skf1(u))
    | ssPv6(u)
    | ssPv4(skf1(u)) ),
    inference(res,[status(thm),theory(equality)],[1,345]),
    [iquote('0:Res:1.0,345.3')] ).

cnf(345,plain,
    ( ~ ssPv3(u)
    | ~ ssPv7(v)
    | ~ ssPv5(u)
    | ~ ssRr(u,v)
    | ssPv6(skf1(u))
    | ssPv8(skf1(u))
    | ssPv6(u)
    | ssPv4(skf1(u)) ),
    inference(res,[status(thm),theory(equality)],[1,343]),
    [iquote('0:Res:1.0,343.3')] ).

cnf(130,plain,
    ( ~ ssPv5(u)
    | ~ ssPv7(v)
    | ~ ssRr(u,w)
    | ~ ssRr(u,x)
    | ~ ssRr(u,y)
    | ~ ssRr(u,v)
    | ssPv4(w)
    | ssPv6(x)
    | ssPv4(u)
    | ssPv8(y)
    | ssPv6(u)
    | ssPv8(u) ),
    inference(sor,[status(thm)],[92,95]),
    [iquote('0:SoR:92.1,95.5')] ).

cnf(343,plain,
    ( ~ ssPv3(u)
    | ~ ssPv7(v)
    | ~ ssPv5(u)
    | ~ ssRr(u,w)
    | ~ ssRr(u,v)
    | ssPv6(skf1(u))
    | ssPv8(w)
    | ssPv6(u)
    | ssPv4(skf1(u)) ),
    inference(res,[status(thm),theory(equality)],[1,302]),
    [iquote('0:Res:1.0,302.3')] ).

cnf(302,plain,
    ( ~ ssPv3(u)
    | ~ ssPv7(v)
    | ~ ssPv5(u)
    | ~ ssRr(u,w)
    | ~ ssRr(u,x)
    | ~ ssRr(u,v)
    | ssPv6(w)
    | ssPv8(x)
    | ssPv6(u)
    | ssPv4(skf1(u)) ),
    inference(mrr,[status(thm)],[301,5,10]),
    [iquote('0:MRR:301.8,301.9,5.0,10.0')] ).

cnf(325,plain,
    ( ~ ssPv4(skf1(u))
    | ~ ssPv6(u)
    | ~ ssPv1(u)
    | ~ ssPv3(v)
    | ~ ssPv3(u)
    | ~ ssPv8(u)
    | ~ ssRr(u,v)
    | ssPv7(u)
    | ssPv5(u) ),
    inference(res,[status(thm),theory(equality)],[1,117]),
    [iquote('0:Res:1.0,117.6')] ).

cnf(319,plain,
    ( ~ ssPv4(skf1(u))
    | ~ ssPv6(u)
    | ~ ssPv1(u)
    | ~ ssPv3(v)
    | ~ ssRr(u,v)
    | ssPv7(u)
    | ssPv5(u)
    | ssPv3(skf1(u))
    | ssPv4(u) ),
    inference(res,[status(thm),theory(equality)],[1,113]),
    [iquote('0:Res:1.0,113.4')] ).

cnf(117,plain,
    ( ~ ssPv4(u)
    | ~ ssPv6(v)
    | ~ ssPv1(v)
    | ~ ssPv3(w)
    | ~ ssPv3(v)
    | ~ ssPv8(v)
    | ~ ssRr(v,u)
    | ~ ssRr(v,w)
    | ssPv7(v)
    | ssPv5(v) ),
    inference(sor,[status(thm)],[61,81]),
    [iquote('0:SoR:61.1,81.6')] ).

cnf(113,plain,
    ( ~ ssPv4(u)
    | ~ ssPv6(v)
    | ~ ssPv1(v)
    | ~ ssPv3(w)
    | ~ ssRr(v,u)
    | ~ ssRr(v,w)
    | ssPv7(v)
    | ssPv5(v)
    | ssPv3(skf1(v))
    | ssPv4(v) ),
    inference(sor,[status(thm)],[61,103]),
    [iquote('0:SoR:61.1,103.6')] ).

cnf(300,plain,
    ( ~ ssPv5(u)
    | ~ ssPv7(skf1(u))
    | ~ ssRr(u,v)
    | ssPv4(skf1(u))
    | ssPv6(skf1(u))
    | ssPv6(u)
    | ssPv8(u)
    | ssPv8(v)
    | ssPv4(u) ),
    inference(res,[status(thm),theory(equality)],[1,191]),
    [iquote('0:Res:1.0,191.2')] ).

cnf(191,plain,
    ( ~ ssPv5(u)
    | ~ ssPv7(v)
    | ~ ssRr(u,v)
    | ~ ssRr(u,w)
    | ssPv4(skf1(u))
    | ssPv6(skf1(u))
    | ssPv6(u)
    | ssPv8(u)
    | ssPv8(w)
    | ssPv4(u) ),
    inference(sor,[status(thm)],[189,91]),
    [iquote('0:SoR:189.1,91.4')] ).

cnf(271,plain,
    ( ~ ssPv7(skf1(u))
    | ~ ssPv4(v)
    | ~ ssRr(u,v)
    | ssPv6(u)
    | ssPv5(skf1(u))
    | ssPv4(u)
    | ssPv5(u)
    | ssPv7(u) ),
    inference(res,[status(thm),theory(equality)],[1,158]),
    [iquote('0:Res:1.0,158.2')] ).

cnf(151,plain,
    ( ~ ssPv6(u)
    | ~ ssPv1(u)
    | ~ ssPv7(v)
    | ~ ssPv4(w)
    | ~ ssRr(u,v)
    | ~ ssRr(u,w)
    | ssPv7(skf1(u))
    | ssPv4(u)
    | ssPv5(u)
    | ssPv7(u) ),
    inference(sor,[status(thm)],[84,100]),
    [iquote('0:SoR:84.2,100.6')] ).

cnf(158,plain,
    ( ~ ssPv7(u)
    | ~ ssPv4(v)
    | ~ ssRr(w,u)
    | ~ ssRr(w,v)
    | ssPv6(w)
    | ssPv5(skf1(w))
    | ssPv4(w)
    | ssPv5(w)
    | ssPv7(w) ),
    inference(mrr,[status(thm)],[152,157]),
    [iquote('0:MRR:152.4,157.0')] ).

cnf(176,plain,
    ( ~ ssPv6(u)
    | ~ ssPv2(u)
    | ~ ssPv1(u)
    | ~ ssPv7(v)
    | ~ ssRr(u,v)
    | ssPv7(skf1(u))
    | ssPv4(u)
    | ssPv5(u)
    | ssPv7(u) ),
    inference(obv,[status(thm),theory(equality)],[169]),
    [iquote('0:Obv:169.1')] ).

cnf(242,plain,
    ( ~ ssPv2(u)
    | ~ ssPv7(skf1(u))
    | ~ ssPv4(v)
    | ~ ssRr(u,v)
    | ssPv1(u)
    | ssPv4(u)
    | ssPv5(u)
    | ssPv7(u) ),
    inference(res,[status(thm),theory(equality)],[1,156]),
    [iquote('0:Res:1.0,156.3')] ).

cnf(241,plain,
    ( ~ ssPv2(u)
    | ~ ssPv1(u)
    | ~ ssPv7(skf1(u))
    | ssPv6(u)
    | ssPv5(skf1(u))
    | ssPv4(u)
    | ssPv5(u)
    | ssPv7(u) ),
    inference(res,[status(thm),theory(equality)],[1,175]),
    [iquote('0:Res:1.0,175.3')] ).

cnf(156,plain,
    ( ~ ssPv2(u)
    | ~ ssPv7(v)
    | ~ ssPv4(w)
    | ~ ssRr(u,v)
    | ~ ssRr(u,w)
    | ssPv1(u)
    | ssPv4(u)
    | ssPv5(u)
    | ssPv7(u) ),
    inference(obv,[status(thm),theory(equality)],[154]),
    [iquote('0:Obv:154.5')] ).

cnf(175,plain,
    ( ~ ssPv2(u)
    | ~ ssPv1(u)
    | ~ ssPv7(v)
    | ~ ssRr(u,v)
    | ssPv6(u)
    | ssPv5(skf1(u))
    | ssPv4(u)
    | ssPv5(u)
    | ssPv7(u) ),
    inference(mrr,[status(thm)],[170,174]),
    [iquote('0:MRR:170.4,174.0')] ).

cnf(234,plain,
    ( ~ ssPv8(u)
    | ~ ssPv7(skf1(u))
    | ~ ssPv4(v)
    | ~ ssRr(u,v)
    | ssPv4(u)
    | ssPv5(u)
    | ssPv7(u) ),
    inference(res,[status(thm),theory(equality)],[1,157]),
    [iquote('0:Res:1.0,157.3')] ).

cnf(157,plain,
    ( ~ ssPv8(u)
    | ~ ssPv7(v)
    | ~ ssPv4(w)
    | ~ ssRr(u,v)
    | ~ ssRr(u,w)
    | ssPv4(u)
    | ssPv5(u)
    | ssPv7(u) ),
    inference(obv,[status(thm),theory(equality)],[153]),
    [iquote('0:Obv:153.6')] ).

cnf(183,plain,
    ( ~ ssPv2(u)
    | ~ ssPv3(v)
    | ~ ssPv6(u)
    | ~ ssRr(u,v)
    | ssPv7(u)
    | ssPv5(u)
    | ssPv3(skf1(u))
    | ssPv4(u) ),
    inference(mrr,[status(thm)],[182,4]),
    [iquote('0:MRR:182.2,4.4')] ).

cnf(94,plain,
    ( ~ ssPv6(u)
    | ~ ssPv1(u)
    | ~ ssPv7(v)
    | ~ ssRr(u,v)
    | ~ ssRr(u,w)
    | ssPv7(skf1(u))
    | ssPv8(w)
    | ssPv4(u) ),
    inference(sor,[status(thm)],[84,91]),
    [iquote('0:SoR:84.2,91.4')] ).

cnf(193,plain,
    ( ~ ssPv8(u)
    | ~ ssPv2(u)
    | ~ ssPv1(u)
    | ~ ssPv7(skf1(u))
    | ssPv4(u)
    | ssPv5(u)
    | ssPv7(u) ),
    inference(res,[status(thm),theory(equality)],[1,174]),
    [iquote('0:Res:1.0,174.4')] ).

cnf(174,plain,
    ( ~ ssPv8(u)
    | ~ ssPv2(u)
    | ~ ssPv1(u)
    | ~ ssPv7(v)
    | ~ ssRr(u,v)
    | ssPv4(u)
    | ssPv5(u)
    | ssPv7(u) ),
    inference(obv,[status(thm),theory(equality)],[171]),
    [iquote('0:Obv:171.6')] ).

cnf(189,plain,
    ( ~ ssPv5(u)
    | ~ ssPv3(skf1(u))
    | ssPv4(skf1(u))
    | ssPv6(skf1(u))
    | ssPv6(u)
    | ssPv8(u) ),
    inference(res,[status(thm),theory(equality)],[1,187]),
    [iquote('0:Res:1.0,187.2')] ).

cnf(187,plain,
    ( ~ ssPv5(u)
    | ~ ssPv3(v)
    | ~ ssRr(u,v)
    | ssPv4(skf1(u))
    | ssPv6(skf1(u))
    | ssPv6(u)
    | ssPv8(u) ),
    inference(res,[status(thm),theory(equality)],[1,144]),
    [iquote('0:Res:1.0,144.2')] ).

cnf(144,plain,
    ( ~ ssPv5(u)
    | ~ ssPv3(v)
    | ~ ssRr(u,w)
    | ~ ssRr(u,v)
    | ssPv4(skf1(u))
    | ssPv6(w)
    | ssPv6(u)
    | ssPv8(u) ),
    inference(res,[status(thm),theory(equality)],[1,106]),
    [iquote('0:Res:1.0,106.2')] ).

cnf(173,plain,
    ( ~ ssPv7(skf1(u))
    | ~ ssPv1(u)
    | ~ ssPv2(u)
    | ssPv7(u)
    | ssPv5(u)
    | ssPv3(skf1(u))
    | ssPv4(u) ),
    inference(res,[status(thm),theory(equality)],[1,162]),
    [iquote('0:Res:1.0,162.3')] ).

cnf(162,plain,
    ( ~ ssPv7(u)
    | ~ ssPv1(v)
    | ~ ssPv2(v)
    | ~ ssRr(v,u)
    | ssPv7(v)
    | ssPv5(v)
    | ssPv3(skf1(v))
    | ssPv4(v) ),
    inference(con,[status(thm)],[160]),
    [iquote('0:Con:160.1')] ).

cnf(155,plain,
    ( ~ ssPv4(skf1(u))
    | ~ ssPv7(v)
    | ~ ssRr(u,v)
    | ssPv7(u)
    | ssPv5(u)
    | ssPv3(skf1(u))
    | ssPv4(u) ),
    inference(res,[status(thm),theory(equality)],[1,100]),
    [iquote('0:Res:1.0,100.2')] ).

cnf(100,plain,
    ( ~ ssPv4(u)
    | ~ ssPv7(v)
    | ~ ssRr(w,u)
    | ~ ssRr(w,v)
    | ssPv7(w)
    | ssPv5(w)
    | ssPv3(skf1(w))
    | ssPv4(w) ),
    inference(sor,[status(thm)],[61,98]),
    [iquote('0:SoR:61.1,98.4')] ).

cnf(106,plain,
    ( ~ ssPv5(u)
    | ~ ssPv3(v)
    | ~ ssRr(u,w)
    | ~ ssRr(u,x)
    | ~ ssRr(u,v)
    | ssPv4(w)
    | ssPv6(x)
    | ssPv6(u)
    | ssPv8(u) ),
    inference(sor,[status(thm)],[92,57]),
    [iquote('0:SoR:92.1,57.4')] ).

cnf(142,plain,
    ( ~ ssPv3(u)
    | ~ ssPv8(u)
    | ~ ssPv2(u)
    | ~ ssPv3(skf1(u))
    | ~ ssPv6(u)
    | ssPv7(u)
    | ssPv5(u) ),
    inference(res,[status(thm),theory(equality)],[1,139]),
    [iquote('0:Res:1.0,139.5')] ).

cnf(139,plain,
    ( ~ ssPv3(u)
    | ~ ssPv8(u)
    | ~ ssPv2(u)
    | ~ ssPv3(v)
    | ~ ssPv6(u)
    | ~ ssRr(u,v)
    | ssPv7(u)
    | ssPv5(u) ),
    inference(mrr,[status(thm)],[138,4]),
    [iquote('0:MRR:138.4,4.4')] ).

cnf(135,plain,
    ( ~ ssPv8(u)
    | ~ ssPv4(u)
    | ~ ssPv3(skf1(u))
    | ~ ssPv7(v)
    | ~ ssPv1(u)
    | ~ ssPv2(u)
    | ~ ssRr(u,v) ),
    inference(res,[status(thm),theory(equality)],[1,87]),
    [iquote('0:Res:1.0,87.6')] ).

cnf(134,plain,
    ( ~ ssPv7(skf1(u))
    | ~ ssPv3(u)
    | ~ ssPv8(u)
    | ~ ssPv1(u)
    | ~ ssPv2(u)
    | ssPv7(u)
    | ssPv5(u) ),
    inference(res,[status(thm),theory(equality)],[1,129]),
    [iquote('0:Res:1.0,129.5')] ).

cnf(87,plain,
    ( ~ ssPv8(u)
    | ~ ssPv4(u)
    | ~ ssPv3(v)
    | ~ ssPv7(w)
    | ~ ssPv1(u)
    | ~ ssPv2(u)
    | ~ ssRr(u,v)
    | ~ ssRr(u,w) ),
    inference(sor,[status(thm)],[86,64]),
    [iquote('0:SoR:86.3,64.4')] ).

cnf(129,plain,
    ( ~ ssPv7(u)
    | ~ ssPv3(v)
    | ~ ssPv8(v)
    | ~ ssPv1(v)
    | ~ ssPv2(v)
    | ~ ssRr(v,u)
    | ssPv7(v)
    | ssPv5(v) ),
    inference(con,[status(thm)],[127]),
    [iquote('0:Con:127.3')] ).

cnf(131,plain,
    ( ~ ssPv7(skf1(u))
    | ~ ssRr(u,v)
    | ssPv8(u)
    | ssPv6(u)
    | ssPv5(skf1(u))
    | ssPv8(v)
    | ssPv4(u) ),
    inference(res,[status(thm),theory(equality)],[1,95]),
    [iquote('0:Res:1.0,95.1')] ).

cnf(95,plain,
    ( ~ ssPv7(u)
    | ~ ssRr(v,u)
    | ~ ssRr(v,w)
    | ssPv8(v)
    | ssPv6(v)
    | ssPv5(skf1(v))
    | ssPv8(w)
    | ssPv4(v) ),
    inference(sor,[status(thm)],[58,91]),
    [iquote('0:SoR:58.0,91.4')] ).

cnf(126,plain,
    ( ~ ssPv4(skf1(u))
    | ~ ssPv7(v)
    | ~ ssPv3(u)
    | ~ ssPv8(u)
    | ~ ssRr(u,v)
    | ssPv7(u)
    | ssPv5(u) ),
    inference(res,[status(thm),theory(equality)],[1,67]),
    [iquote('0:Res:1.0,67.4')] ).

cnf(67,plain,
    ( ~ ssPv4(u)
    | ~ ssPv7(v)
    | ~ ssPv3(w)
    | ~ ssPv8(w)
    | ~ ssRr(w,u)
    | ~ ssRr(w,v)
    | ssPv7(w)
    | ssPv5(w) ),
    inference(sor,[status(thm)],[61,66]),
    [iquote('0:SoR:61.1,66.4')] ).

cnf(123,plain,
    ( ~ ssPv2(u)
    | ~ ssPv7(skf1(u))
    | ~ ssRr(u,v)
    | ssPv7(u)
    | ssPv1(u)
    | ssPv8(v)
    | ssPv4(u) ),
    inference(res,[status(thm),theory(equality)],[1,97]),
    [iquote('0:Res:1.0,97.2')] ).

cnf(97,plain,
    ( ~ ssPv2(u)
    | ~ ssPv7(v)
    | ~ ssRr(u,v)
    | ~ ssRr(u,w)
    | ssPv7(u)
    | ssPv1(u)
    | ssPv8(w)
    | ssPv4(u) ),
    inference(sor,[status(thm)],[53,91]),
    [iquote('0:SoR:53.1,91.4')] ).

cnf(121,plain,
    ( ~ ssPv7(u)
    | ~ ssPv1(skf1(u))
    | ~ ssPv3(v)
    | ~ ssRr(u,w)
    | ~ ssRr(u,v)
    | ssPv7(w) ),
    inference(res,[status(thm),theory(equality)],[1,21]),
    [iquote('0:Res:1.0,21.3')] ).

cnf(120,plain,
    ( ~ ssPv8(u)
    | ~ ssPv4(u)
    | ~ ssPv3(skf1(u))
    | ~ ssPv6(u)
    | ~ ssPv1(u)
    | ~ ssPv2(u) ),
    inference(res,[status(thm),theory(equality)],[1,90]),
    [iquote('0:Res:1.0,90.6')] ).

cnf(21,axiom,
    ( ~ ssPv7(u)
    | ~ ssPv1(v)
    | ~ ssPv3(w)
    | ~ ssRr(u,v)
    | ~ ssRr(u,x)
    | ~ ssRr(u,w)
    | ssPv7(x) ),
    file('SYN738-1.p',unknown),
    [] ).

cnf(90,plain,
    ( ~ ssPv8(u)
    | ~ ssPv4(u)
    | ~ ssPv3(v)
    | ~ ssPv6(u)
    | ~ ssPv1(u)
    | ~ ssPv2(u)
    | ~ ssRr(u,v) ),
    inference(con,[status(thm)],[88]),
    [iquote('0:Con:88.5')] ).

cnf(118,plain,
    ( ~ ssPv8(u)
    | ~ ssPv3(u)
    | ~ ssPv3(skf1(u))
    | ~ ssPv1(u)
    | ~ ssPv6(u)
    | ssPv8(skf1(u)) ),
    inference(res,[status(thm),theory(equality)],[1,81]),
    [iquote('0:Res:1.0,81.5')] ).

cnf(81,plain,
    ( ~ ssPv8(u)
    | ~ ssPv3(u)
    | ~ ssPv3(v)
    | ~ ssPv1(u)
    | ~ ssPv6(u)
    | ~ ssRr(u,v)
    | ssPv8(skf1(u)) ),
    inference(sor,[status(thm)],[68,80]),
    [iquote('0:SoR:68.2,80.4')] ).

cnf(115,plain,
    ( ~ ssPv4(u)
    | ~ ssPv3(skf1(u))
    | ~ ssPv6(v)
    | ~ ssRr(u,w)
    | ~ ssRr(u,v)
    | ssPv5(w) ),
    inference(res,[status(thm),theory(equality)],[1,20]),
    [iquote('0:Res:1.0,20.3')] ).

cnf(20,axiom,
    ( ~ ssPv4(u)
    | ~ ssPv3(v)
    | ~ ssPv6(w)
    | ~ ssRr(u,v)
    | ~ ssRr(u,x)
    | ~ ssRr(u,w)
    | ssPv5(x) ),
    file('SYN738-1.p',unknown),
    [] ).

cnf(103,plain,
    ( ~ ssPv3(u)
    | ~ ssPv1(v)
    | ~ ssPv6(v)
    | ~ ssRr(v,u)
    | ssPv4(v)
    | ssPv3(skf1(v))
    | ssPv8(skf1(v)) ),
    inference(sor,[status(thm)],[101,80]),
    [iquote('0:SoR:101.0,80.4')] ).

cnf(109,plain,
    ( ~ ssPv8(u)
    | ~ ssPv7(skf1(u))
    | ~ ssRr(u,v)
    | ssPv5(u)
    | ssPv8(v)
    | ssPv4(u) ),
    inference(res,[status(thm),theory(equality)],[1,99]),
    [iquote('0:Res:1.0,99.2')] ).

cnf(99,plain,
    ( ~ ssPv8(u)
    | ~ ssPv7(v)
    | ~ ssRr(u,v)
    | ~ ssRr(u,w)
    | ssPv5(u)
    | ssPv8(w)
    | ssPv4(u) ),
    inference(obv,[status(thm),theory(equality)],[96]),
    [iquote('0:Obv:96.5')] ).

cnf(107,plain,
    ( ~ ssPv3(u)
    | ~ ssPv6(skf1(u))
    | ~ ssRr(u,v)
    | ~ ssRr(u,w)
    | ssPv6(v)
    | ssPv8(w) ),
    inference(res,[status(thm),theory(equality)],[1,18]),
    [iquote('0:Res:1.0,18.2')] ).

cnf(18,axiom,
    ( ~ ssPv3(u)
    | ~ ssPv6(v)
    | ~ ssRr(u,v)
    | ~ ssRr(u,w)
    | ~ ssRr(u,x)
    | ssPv6(w)
    | ssPv8(x) ),
    file('SYN738-1.p',unknown),
    [] ).

cnf(92,plain,
    ( ~ ssPv5(u)
    | ~ ssPv5(skf1(u))
    | ~ ssRr(u,v)
    | ~ ssRr(u,w)
    | ssPv4(v)
    | ssPv6(w) ),
    inference(res,[status(thm),theory(equality)],[1,19]),
    [iquote('0:Res:1.0,19.2')] ).

cnf(101,plain,
    ( ~ ssPv7(skf1(u))
    | ssPv4(u)
    | ssPv3(skf1(u))
    | ssPv8(skf1(u)) ),
    inference(res,[status(thm),theory(equality)],[1,98]),
    [iquote('0:Res:1.0,98.1')] ).

cnf(98,plain,
    ( ~ ssPv7(u)
    | ~ ssRr(v,u)
    | ssPv4(v)
    | ssPv3(skf1(v))
    | ssPv8(skf1(v)) ),
    inference(res,[status(thm),theory(equality)],[1,91]),
    [iquote('0:Res:1.0,91.1')] ).

cnf(91,plain,
    ( ~ ssPv7(u)
    | ~ ssRr(v,w)
    | ~ ssRr(v,u)
    | ssPv4(v)
    | ssPv3(skf1(v))
    | ssPv8(w) ),
    inference(res,[status(thm),theory(equality)],[1,17]),
    [iquote('0:Res:1.0,17.1')] ).

cnf(19,axiom,
    ( ~ ssPv5(u)
    | ~ ssPv5(v)
    | ~ ssRr(u,v)
    | ~ ssRr(u,w)
    | ~ ssRr(u,x)
    | ssPv4(w)
    | ssPv6(x) ),
    file('SYN738-1.p',unknown),
    [] ).

cnf(17,axiom,
    ( ~ ssPv7(u)
    | ~ ssRr(v,w)
    | ~ ssRr(v,x)
    | ~ ssRr(v,u)
    | ssPv4(v)
    | ssPv3(w)
    | ssPv8(x) ),
    file('SYN738-1.p',unknown),
    [] ).

cnf(89,plain,
    ( ~ ssPv2(u)
    | ~ ssPv3(skf1(u))
    | ~ ssPv1(u)
    | ~ ssPv6(u)
    | ssPv4(skf1(u)) ),
    inference(res,[status(thm),theory(equality)],[1,85]),
    [iquote('0:Res:1.0,85.4')] ).

cnf(85,plain,
    ( ~ ssPv2(u)
    | ~ ssPv3(v)
    | ~ ssPv1(u)
    | ~ ssPv6(u)
    | ~ ssRr(u,v)
    | ssPv4(skf1(u)) ),
    inference(obv,[status(thm),theory(equality)],[82]),
    [iquote('0:Obv:82.1')] ).

cnf(86,plain,
    ( ~ ssPv8(u)
    | ~ ssPv4(u)
    | ~ ssPv3(v)
    | ~ ssPv4(skf1(u))
    | ~ ssRr(u,v) ),
    inference(res,[status(thm),theory(equality)],[1,16]),
    [iquote('0:Res:1.0,16.4')] ).

cnf(16,axiom,
    ( ~ ssPv8(u)
    | ~ ssPv4(u)
    | ~ ssPv3(v)
    | ~ ssPv4(w)
    | ~ ssRr(u,w)
    | ~ ssRr(u,v) ),
    file('SYN738-1.p',unknown),
    [] ).

cnf(84,plain,
    ( ~ ssPv6(u)
    | ~ ssPv1(u)
    | ~ ssPv3(skf1(u))
    | ssPv7(skf1(u)) ),
    inference(res,[status(thm),theory(equality)],[1,80]),
    [iquote('0:Res:1.0,80.3')] ).

cnf(80,plain,
    ( ~ ssPv6(u)
    | ~ ssPv1(u)
    | ~ ssPv3(v)
    | ~ ssRr(u,v)
    | ssPv7(skf1(u)) ),
    inference(res,[status(thm),theory(equality)],[1,12]),
    [iquote('0:Res:1.0,12.3')] ).

cnf(12,axiom,
    ( ~ ssPv6(u)
    | ~ ssPv1(u)
    | ~ ssPv3(v)
    | ~ ssRr(u,w)
    | ~ ssRr(u,v)
    | ssPv7(w) ),
    file('SYN738-1.p',unknown),
    [] ).

cnf(73,plain,
    ( ~ ssPv8(u)
    | ~ ssPv3(u)
    | ~ ssPv7(v)
    | ~ ssRr(u,v)
    | ssPv7(skf1(u)) ),
    inference(res,[status(thm),theory(equality)],[1,11]),
    [iquote('0:Res:1.0,11.3')] ).

cnf(11,axiom,
    ( ~ ssPv8(u)
    | ~ ssPv3(u)
    | ~ ssPv7(v)
    | ~ ssRr(u,w)
    | ~ ssRr(u,v)
    | ssPv7(w) ),
    file('SYN738-1.p',unknown),
    [] ).

cnf(71,plain,
    ( ~ ssPv2(u)
    | ~ ssPv2(skf1(u))
    | ~ ssPv5(v)
    | ~ ssRr(u,v)
    | ssPv7(u) ),
    inference(res,[status(thm),theory(equality)],[1,15]),
    [iquote('0:Res:1.0,15.3')] ).

cnf(15,axiom,
    ( ~ ssPv2(u)
    | ~ ssPv2(v)
    | ~ ssPv5(w)
    | ~ ssRr(u,v)
    | ~ ssRr(u,w)
    | ssPv7(u) ),
    file('SYN738-1.p',unknown),
    [] ).

cnf(69,plain,
    ( ~ ssPv1(u)
    | ~ ssPv2(skf1(u))
    | ~ ssPv3(v)
    | ~ ssRr(u,v)
    | ssPv8(u) ),
    inference(res,[status(thm),theory(equality)],[1,14]),
    [iquote('0:Res:1.0,14.3')] ).

cnf(68,plain,
    ( ~ ssPv8(u)
    | ~ ssPv3(u)
    | ~ ssPv7(skf1(u))
    | ssPv8(skf1(u)) ),
    inference(res,[status(thm),theory(equality)],[1,66]),
    [iquote('0:Res:1.0,66.3')] ).

cnf(14,axiom,
    ( ~ ssPv1(u)
    | ~ ssPv2(v)
    | ~ ssPv3(w)
    | ~ ssRr(u,v)
    | ~ ssRr(u,w)
    | ssPv8(u) ),
    file('SYN738-1.p',unknown),
    [] ).

cnf(66,plain,
    ( ~ ssPv8(u)
    | ~ ssPv3(u)
    | ~ ssPv7(v)
    | ~ ssRr(u,v)
    | ssPv8(skf1(u)) ),
    inference(res,[status(thm),theory(equality)],[1,10]),
    [iquote('0:Res:1.0,10.3')] ).

cnf(10,axiom,
    ( ~ ssPv8(u)
    | ~ ssPv3(u)
    | ~ ssPv7(v)
    | ~ ssRr(u,w)
    | ~ ssRr(u,v)
    | ssPv8(w) ),
    file('SYN738-1.p',unknown),
    [] ).

cnf(65,plain,
    ( ~ ssPv2(u)
    | ~ ssPv1(u)
    | ~ ssPv7(skf1(u))
    | ssPv4(skf1(u)) ),
    inference(res,[status(thm),theory(equality)],[1,64]),
    [iquote('0:Res:1.0,64.3')] ).

cnf(64,plain,
    ( ~ ssPv2(u)
    | ~ ssPv1(u)
    | ~ ssPv7(v)
    | ~ ssRr(u,v)
    | ssPv4(skf1(u)) ),
    inference(res,[status(thm),theory(equality)],[1,13]),
    [iquote('0:Res:1.0,13.3')] ).

cnf(13,axiom,
    ( ~ ssPv2(u)
    | ~ ssPv1(u)
    | ~ ssPv7(v)
    | ~ ssRr(u,w)
    | ~ ssRr(u,v)
    | ssPv4(w) ),
    file('SYN738-1.p',unknown),
    [] ).

cnf(62,plain,
    ( ~ ssPv5(u)
    | ~ ssPv4(u)
    | ~ ssPv6(v)
    | ~ ssRr(u,v)
    | ssPv6(skf1(u)) ),
    inference(res,[status(thm),theory(equality)],[1,9]),
    [iquote('0:Res:1.0,9.3')] ).

cnf(9,axiom,
    ( ~ ssPv5(u)
    | ~ ssPv4(u)
    | ~ ssPv6(v)
    | ~ ssRr(u,w)
    | ~ ssRr(u,v)
    | ssPv6(w) ),
    file('SYN738-1.p',unknown),
    [] ).

cnf(61,plain,
    ( ~ ssPv4(u)
    | ~ ssPv8(skf1(v))
    | ~ ssRr(v,u)
    | ssPv7(v)
    | ssPv5(v) ),
    inference(res,[status(thm),theory(equality)],[1,8]),
    [iquote('0:Res:1.0,8.2')] ).

cnf(60,plain,
    ( ~ ssPv4(u)
    | ssPv5(u)
    | ssPv3(skf1(u))
    | ssPv5(skf1(u)) ),
    inference(res,[status(thm),theory(equality)],[1,59]),
    [iquote('0:Res:1.0,59.1')] ).

cnf(8,axiom,
    ( ~ ssPv4(u)
    | ~ ssPv8(v)
    | ~ ssRr(w,v)
    | ~ ssRr(w,u)
    | ssPv7(w)
    | ssPv5(w) ),
    file('SYN738-1.p',unknown),
    [] ).

cnf(59,plain,
    ( ~ ssPv4(u)
    | ~ ssRr(u,v)
    | ssPv5(u)
    | ssPv3(v)
    | ssPv5(skf1(u)) ),
    inference(res,[status(thm),theory(equality)],[1,7]),
    [iquote('0:Res:1.0,7.1')] ).

cnf(7,axiom,
    ( ~ ssPv4(u)
    | ~ ssRr(u,v)
    | ~ ssRr(u,w)
    | ssPv5(u)
    | ssPv3(w)
    | ssPv5(v) ),
    file('SYN738-1.p',unknown),
    [] ).

cnf(58,plain,
    ( ~ ssPv3(skf1(u))
    | ssPv8(u)
    | ssPv6(u)
    | ssPv5(skf1(u)) ),
    inference(res,[status(thm),theory(equality)],[1,57]),
    [iquote('0:Res:1.0,57.1')] ).

cnf(57,plain,
    ( ~ ssPv3(u)
    | ~ ssRr(v,u)
    | ssPv8(v)
    | ssPv6(v)
    | ssPv5(skf1(v)) ),
    inference(res,[status(thm),theory(equality)],[1,6]),
    [iquote('0:Res:1.0,6.1')] ).

cnf(6,axiom,
    ( ~ ssPv3(u)
    | ~ ssRr(v,w)
    | ~ ssRr(v,u)
    | ssPv8(v)
    | ssPv6(v)
    | ssPv5(w) ),
    file('SYN738-1.p',unknown),
    [] ).

cnf(56,plain,
    ( ~ ssPv4(u)
    | ~ ssPv3(u)
    | ~ ssPv7(skf1(u))
    | ssPv6(u) ),
    inference(res,[status(thm),theory(equality)],[1,5]),
    [iquote('0:Res:1.0,5.3')] ).

cnf(5,axiom,
    ( ~ ssPv4(u)
    | ~ ssPv3(u)
    | ~ ssPv7(v)
    | ~ ssRr(u,v)
    | ssPv6(u) ),
    file('SYN738-1.p',unknown),
    [] ).

cnf(55,plain,
    ( ~ ssPv8(u)
    | ~ ssPv3(skf1(u))
    | ssPv5(u)
    | ssPv4(u) ),
    inference(res,[status(thm),theory(equality)],[1,2]),
    [iquote('0:Res:1.0,2.2')] ).

cnf(54,plain,
    ( ~ ssPv8(u)
    | ~ ssPv5(u)
    | ssPv2(u)
    | ssPv2(skf1(u)) ),
    inference(res,[status(thm),theory(equality)],[1,3]),
    [iquote('0:Res:1.0,3.2')] ).

cnf(2,axiom,
    ( ~ ssPv8(u)
    | ~ ssPv3(v)
    | ~ ssRr(u,v)
    | ssPv5(u)
    | ssPv4(u) ),
    file('SYN738-1.p',unknown),
    [] ).

cnf(3,axiom,
    ( ~ ssPv8(u)
    | ~ ssPv5(u)
    | ~ ssRr(u,v)
    | ssPv2(u)
    | ssPv2(v) ),
    file('SYN738-1.p',unknown),
    [] ).

cnf(53,plain,
    ( ~ ssPv2(u)
    | ~ ssPv3(skf1(u))
    | ssPv7(u)
    | ssPv1(u) ),
    inference(res,[status(thm),theory(equality)],[1,4]),
    [iquote('0:Res:1.0,4.2')] ).

cnf(4,axiom,
    ( ~ ssPv2(u)
    | ~ ssPv3(v)
    | ~ ssRr(u,v)
    | ssPv7(u)
    | ssPv1(u) ),
    file('SYN738-1.p',unknown),
    [] ).

cnf(1,axiom,
    ssRr(u,skf1(u)),
    file('SYN738-1.p',unknown),
    [] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SYN738-1 : TPTP v8.1.0. Released v2.5.0.
% 0.03/0.13  % Command  : run_spass %d %s
% 0.13/0.34  % Computer : n025.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Tue Jul 12 05:49:48 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.20/0.45  
% 0.20/0.45  SPASS V 3.9 
% 0.20/0.45  SPASS beiseite: Completion found.
% 0.20/0.45  % SZS status CounterSatisfiable
% 0.20/0.45  Problem: /export/starexec/sandbox/benchmark/theBenchmark.p 
% 0.20/0.45  SPASS derived 239 clauses, backtracked 0 clauses, performed 0 splits and kept 103 clauses.
% 0.20/0.45  SPASS allocated 75996 KBytes.
% 0.20/0.45  SPASS spent	0:00:00.10 on the problem.
% 0.20/0.45  		0:00:00.04 for the input.
% 0.20/0.45  		0:00:00.00 for the FLOTTER CNF translation.
% 0.20/0.45  		0:00:00.01 for inferences.
% 0.20/0.45  		0:00:00.00 for the backtracking.
% 0.20/0.45  		0:00:00.04 for the reduction.
% 0.20/0.45  
% 0.20/0.45  
% 0.20/0.45   The saturated set of worked-off clauses is :
% 0.20/0.45  % SZS output start Saturation
% See solution above
%------------------------------------------------------------------------------