TSTP Solution File: SYN540-1 by SPASS---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : SYN540-1 : TPTP v8.1.0. Released v2.1.0.
% Transfm  : none
% Format   : tptp
% Command  : run_spass %d %s

% Computer : n021.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 12:22:42 EDT 2022

% Result   : Satisfiable 0.18s 0.44s
% Output   : Saturation 0.18s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named 483)

% Comments : 
%------------------------------------------------------------------------------
cnf(485,plain,
    ( ~ c4_1(u)
    | ~ c4_2(u,v)
    | ~ c4_2(u,a682)
    | c1_2(u,v)
    | c1_2(u,w)
    | c4_2(u,a711)
    | c5_2(u,w)
    | c3_2(u,v) ),
    inference(obv,[status(thm),theory(equality)],[483]),
    [iquote('19:Obv:483.5')] ).

cnf(484,plain,
    ( ~ c2_1(u)
    | ~ c4_1(u)
    | ~ c4_2(u,a682)
    | c1_2(u,v)
    | c4_2(u,a711)
    | c5_2(u,v)
    | c3_2(u,a709) ),
    inference(mrr,[status(thm)],[482,279]),
    [iquote('19:MRR:482.2,279.1')] ).

cnf(411,plain,
    ( ~ c4_1(u)
    | ~ c2_2(u,v)
    | ~ c4_2(u,v)
    | ~ c4_2(u,a682)
    | c1_2(u,w)
    | c4_2(u,a711)
    | c5_2(u,w)
    | c3_2(u,v) ),
    inference(res,[status(thm),theory(equality)],[309,407]),
    [iquote('19:Res:309.2,407.0')] ).

cnf(455,plain,
    ( ~ c4_1(u)
    | ~ c4_2(u,v)
    | c1_2(u,v)
    | c1_2(u,w)
    | c4_2(u,a711)
    | c5_2(u,w)
    | c3_2(u,v)
    | c1_2(u,a682) ),
    inference(obv,[status(thm),theory(equality)],[453]),
    [iquote('17:Obv:453.4')] ).

cnf(459,plain,
    ( ~ c2_1(u)
    | ~ c4_1(u)
    | c1_2(u,v)
    | c4_2(u,a711)
    | c5_2(u,v)
    | c1_2(u,a682)
    | c3_1(u) ),
    inference(mrr,[status(thm)],[458,280]),
    [iquote('17:MRR:458.2,280.1')] ).

cnf(454,plain,
    ( ~ c2_1(u)
    | ~ c4_1(u)
    | c1_2(u,v)
    | c4_2(u,a711)
    | c5_2(u,v)
    | c3_2(u,a709)
    | c1_2(u,a682) ),
    inference(mrr,[status(thm)],[452,279]),
    [iquote('17:MRR:452.2,279.1')] ).

cnf(401,plain,
    ( ~ c4_1(u)
    | ~ c2_2(u,v)
    | ~ c4_2(u,v)
    | c1_2(u,w)
    | c4_2(u,a711)
    | c5_2(u,w)
    | c3_2(u,v)
    | c1_2(u,a682) ),
    inference(res,[status(thm),theory(equality)],[309,397]),
    [iquote('17:Res:309.2,397.0')] ).

cnf(429,plain,
    ( ~ c4_1(u)
    | ~ c2_1(u)
    | ~ c4_2(u,v)
    | ~ c4_2(u,a682)
    | c1_2(u,v)
    | c4_2(u,a711)
    | c5_2(u,a709)
    | c3_2(u,v) ),
    inference(res,[status(thm),theory(equality)],[309,410]),
    [iquote('19:Res:309.2,410.1')] ).

cnf(415,plain,
    ( ~ c4_1(u)
    | ~ c2_1(u)
    | ~ c4_2(u,v)
    | c1_2(u,v)
    | c4_2(u,a711)
    | c5_2(u,a709)
    | c3_2(u,v)
    | c1_2(u,a682) ),
    inference(res,[status(thm),theory(equality)],[309,400]),
    [iquote('17:Res:309.2,400.1')] ).

cnf(431,plain,
    ( ~ c2_1(u)
    | ~ c4_2(u,a682)
    | c5_2(u,a709)
    | c3_2(u,a709) ),
    inference(mrr,[status(thm)],[430,279]),
    [iquote('19:MRR:430.1,279.1')] ).

cnf(410,plain,
    ( ~ c2_1(u)
    | ~ c2_2(u,v)
    | ~ c4_2(u,v)
    | ~ c4_2(u,a682)
    | c5_2(u,a709)
    | c3_2(u,v) ),
    inference(res,[status(thm),theory(equality)],[280,407]),
    [iquote('19:Res:280.1,407.0')] ).

cnf(253,plain,
    ( ~ c2_2(u,v)
    | ~ c1_2(u,v)
    | ~ c2_2(u,w)
    | ~ c4_2(u,w)
    | c3_2(u,w)
    | c2_2(u,a695) ),
    inference(mrr,[status(thm)],[250,251]),
    [iquote('3:MRR:250.0,251.0')] ).

cnf(421,plain,
    ( ~ c2_1(a702)
    | c5_2(a702,a709)
    | c3_1(a702)
    | c4_2(a702,a682) ),
    inference(res,[status(thm),theory(equality)],[420,268]),
    [iquote('17:Res:420.2,268.0')] ).

cnf(420,plain,
    ( ~ c2_1(u)
    | c5_2(u,a709)
    | c1_2(u,a682)
    | c3_1(u) ),
    inference(mrr,[status(thm)],[419,280]),
    [iquote('17:MRR:419.1,280.1')] ).

cnf(417,plain,
    ( ~ c2_1(u)
    | c5_2(u,a709)
    | c3_2(u,a709)
    | c1_2(u,a682) ),
    inference(mrr,[status(thm)],[416,279]),
    [iquote('17:MRR:416.1,279.1')] ).

cnf(400,plain,
    ( ~ c2_1(u)
    | ~ c2_2(u,v)
    | ~ c4_2(u,v)
    | c5_2(u,a709)
    | c3_2(u,v)
    | c1_2(u,a682) ),
    inference(res,[status(thm),theory(equality)],[280,397]),
    [iquote('17:Res:280.1,397.0')] ).

cnf(407,plain,
    ( ~ c2_2(u,v)
    | ~ c2_2(u,w)
    | ~ c4_2(u,w)
    | ~ c4_2(u,a682)
    | c5_2(u,v)
    | c3_2(u,w) ),
    inference(spt,[],[266]),
    [iquote('19:Spt:266.1,266.2,266.3,266.4,266.6,266.7')] ).

cnf(406,plain,
    ( ~ c2_1(a689)
    | c3_2(a689,a709) ),
    inference(mrr,[status(thm)],[404,279]),
    [iquote('18:MRR:404.1,279.1')] ).

cnf(402,plain,
    ( ~ c2_2(a689,u)
    | ~ c4_2(a689,u)
    | c3_2(a689,u) ),
    inference(spt,[],[398]),
    [iquote('18:Spt:398.0,398.1,398.3')] ).

cnf(394,plain,
    ( ~ c2_1(a723)
    | c3_2(a723,a709) ),
    inference(mrr,[status(thm)],[391,279]),
    [iquote('16:MRR:391.1,279.1')] ).

cnf(396,plain,
    c3_1(a723),
    inference(mrr,[status(thm)],[395,299]),
    [iquote('16:MRR:395.0,299.0')] ).

cnf(397,plain,
    ( ~ c2_2(u,v)
    | ~ c2_2(u,w)
    | ~ c4_2(u,w)
    | c5_2(u,v)
    | c3_2(u,w)
    | c1_2(u,a682) ),
    inference(spt,[],[265]),
    [iquote('17:Spt:265.1,265.2,265.3,265.5,265.6,265.7')] ).

cnf(393,plain,
    c3_2(a723,a724),
    inference(mrr,[status(thm)],[390,300]),
    [iquote('16:MRR:390.0,300.0')] ).

cnf(389,plain,
    ( ~ c2_2(a723,u)
    | ~ c4_2(a723,u)
    | c3_2(a723,u) ),
    inference(spt,[],[386]),
    [iquote('16:Spt:386.1,386.2,386.3')] ).

cnf(252,plain,
    ( ~ c2_2(u,v)
    | ~ c1_2(u,v)
    | ~ c2_2(u,w)
    | ~ c4_2(u,w)
    | c3_2(u,w)
    | c3_2(u,a695) ),
    inference(mrr,[status(thm)],[249,251]),
    [iquote('3:MRR:249.0,251.0')] ).

cnf(383,plain,
    ( ~ c4_1(u)
    | ~ c1_2(u,a681)
    | c1_1(u)
    | c1_2(u,a711) ),
    inference(mrr,[status(thm)],[382,323,254]),
    [iquote('11:MRR:382.3,382.5,323.0,254.0')] ).

cnf(264,plain,
    ( ~ c4_2(u,v)
    | ~ c1_2(u,a681)
    | c2_1(u)
    | c1_2(u,v)
    | c2_2(u,v) ),
    inference(mrr,[status(thm)],[207,251]),
    [iquote('3:MRR:207.0,251.0')] ).

cnf(376,plain,
    ( ~ c2_1(a698)
    | c5_2(a698,a709) ),
    inference(res,[status(thm),theory(equality)],[374,281]),
    [iquote('15:Res:374.1,281.1')] ).

cnf(374,plain,
    ( c5_2(a698,u)
    | c1_2(a698,u) ),
    inference(spt,[],[373]),
    [iquote('15:Spt:373.0,373.2')] ).

cnf(366,plain,
    ( ~ c4_1(u)
    | c1_1(u)
    | c1_2(u,a711)
    | c4_2(u,a681) ),
    inference(mrr,[status(thm)],[365,323,254]),
    [iquote('11:MRR:365.2,365.4,323.0,254.0')] ).

cnf(263,plain,
    ( ~ c4_2(u,v)
    | c2_1(u)
    | c1_2(u,v)
    | c2_2(u,v)
    | c4_2(u,a681) ),
    inference(mrr,[status(thm)],[206,251]),
    [iquote('3:MRR:206.0,251.0')] ).

cnf(357,plain,
    ( ~ c4_1(u)
    | c1_1(u)
    | c1_2(u,a711)
    | c5_2(u,a681) ),
    inference(mrr,[status(thm)],[356,323,254]),
    [iquote('11:MRR:356.2,356.4,323.0,254.0')] ).

cnf(262,plain,
    ( ~ c4_2(u,v)
    | c2_1(u)
    | c1_2(u,v)
    | c2_2(u,v)
    | c5_2(u,a681) ),
    inference(mrr,[status(thm)],[205,251]),
    [iquote('3:MRR:205.0,251.0')] ).

cnf(349,plain,
    c3_1(a689),
    inference(mrr,[status(thm)],[347,286]),
    [iquote('13:MRR:347.0,286.0')] ).

cnf(346,plain,
    ( ~ c3_2(u,v)
    | ~ c2_2(u,v)
    | c3_1(u) ),
    inference(spt,[],[256]),
    [iquote('13:Spt:256.1,256.2,256.3')] ).

cnf(310,plain,
    ( ~ c4_1(u)
    | ~ c2_2(u,a711)
    | c1_2(u,v)
    | c2_2(u,v) ),
    inference(mrr,[status(thm)],[261,308]),
    [iquote('11:MRR:261.1,308.0')] ).

cnf(340,plain,
    ( ~ c4_1(u)
    | c4_2(u,a711)
    | c1_1(u)
    | c1_2(u,v) ),
    inference(obv,[status(thm),theory(equality)],[336]),
    [iquote('11:Obv:336.1')] ).

cnf(309,plain,
    ( ~ c4_1(u)
    | c1_2(u,v)
    | c2_2(u,v)
    | c4_2(u,a711) ),
    inference(mrr,[status(thm)],[255,308]),
    [iquote('11:MRR:255.1,308.0')] ).

cnf(335,plain,
    ( ~ c2_1(a723)
    | ~ c5_2(a723,a709) ),
    inference(mrr,[status(thm)],[334,279]),
    [iquote('8:MRR:334.2,279.1')] ).

cnf(302,plain,
    ( ~ c2_2(a723,u)
    | ~ c5_2(a723,u)
    | ~ c4_2(a723,u) ),
    inference(mrr,[status(thm)],[196,298]),
    [iquote('8:MRR:196.0,298.0')] ).

cnf(328,plain,
    ( ~ c5_2(a689,a683)
    | ssskP0(a689)
    | c3_2(a689,a683) ),
    inference(res,[status(thm),theory(equality)],[42,291]),
    [iquote('6:Res:42.1,291.0')] ).

cnf(332,plain,
    ~ c5_1(a692),
    inference(res,[status(thm),theory(equality)],[324,305]),
    [iquote('9:Res:324.1,305.0')] ).

cnf(330,plain,
    ~ c5_1(a694),
    inference(res,[status(thm),theory(equality)],[324,146]),
    [iquote('5:Res:324.1,146.0')] ).

cnf(324,plain,
    ( ~ c5_1(u)
    | c1_1(u) ),
    inference(mrr,[status(thm)],[283,323]),
    [iquote('5:MRR:283.2,323.0')] ).

cnf(291,plain,
    ( ~ c4_2(a689,u)
    | ~ c5_2(a689,u)
    | c3_2(a689,u) ),
    inference(mrr,[status(thm)],[195,284]),
    [iquote('6:MRR:195.0,284.0')] ).

cnf(327,plain,
    ~ c2_1(a692),
    inference(res,[status(thm),theory(equality)],[323,305]),
    [iquote('9:Res:323.1,305.0')] ).

cnf(325,plain,
    ~ c2_1(a694),
    inference(res,[status(thm),theory(equality)],[323,146]),
    [iquote('4:Res:323.1,146.0')] ).

cnf(323,plain,
    ( ~ c2_1(u)
    | c1_1(u) ),
    inference(mrr,[status(thm)],[321,281]),
    [iquote('4:MRR:321.2,281.1')] ).

cnf(320,plain,
    ( c1_1(a723)
    | c1_2(a723,a724) ),
    inference(res,[status(thm),theory(equality)],[299,254]),
    [iquote('8:Res:299.0,254.0')] ).

cnf(306,plain,
    ( ~ c3_2(a692,u)
    | c2_2(a692,u)
    | c4_2(a692,u) ),
    inference(mrr,[status(thm)],[273,303]),
    [iquote('9:MRR:273.1,303.0')] ).

cnf(322,plain,
    c1_1(a689),
    inference(mrr,[status(thm)],[319,289]),
    [iquote('6:MRR:319.1,289.0')] ).

cnf(254,plain,
    ( ~ c2_2(u,v)
    | c1_1(u)
    | c1_2(u,v) ),
    inference(mrr,[status(thm)],[193,251]),
    [iquote('3:MRR:193.0,251.0')] ).

cnf(318,plain,
    c5_2(a698,a699),
    inference(mrr,[status(thm)],[317,277]),
    [iquote('4:MRR:317.0,277.0')] ).

cnf(271,plain,
    ( c3_2(a694,u)
    | c4_2(a694,u)
    | c2_2(a694,u) ),
    inference(mrr,[status(thm)],[188,251]),
    [iquote('3:MRR:188.0,251.0')] ).

cnf(316,plain,
    ~ c5_1(a685),
    inference(mrr,[status(thm)],[315,293]),
    [iquote('7:MRR:315.1,293.0')] ).

cnf(314,plain,
    ~ c2_1(a685),
    inference(mrr,[status(thm)],[313,281]),
    [iquote('7:MRR:313.1,281.1')] ).

cnf(297,plain,
    ( ~ c2_2(a685,u)
    | c1_2(a685,u) ),
    inference(mrr,[status(thm)],[190,292]),
    [iquote('7:MRR:190.0,292.0')] ).

cnf(281,plain,
    ( ~ c2_1(u)
    | ~ c1_2(u,a709) ),
    inference(mrr,[status(thm)],[186,275]),
    [iquote('4:MRR:186.2,275.0')] ).

cnf(268,plain,
    ( ~ c1_2(a702,u)
    | c4_2(a702,u) ),
    inference(mrr,[status(thm)],[183,251]),
    [iquote('3:MRR:183.0,251.0')] ).

cnf(267,plain,
    ( ~ c5_2(a702,u)
    | c1_2(a702,u) ),
    inference(mrr,[status(thm)],[182,251]),
    [iquote('3:MRR:182.0,251.0')] ).

cnf(280,plain,
    ( ~ c2_1(u)
    | c2_2(u,a709) ),
    inference(mrr,[status(thm)],[180,275]),
    [iquote('4:MRR:180.1,275.0')] ).

cnf(279,plain,
    ( ~ c2_1(u)
    | c4_2(u,a709) ),
    inference(mrr,[status(thm)],[179,275]),
    [iquote('4:MRR:179.1,275.0')] ).

cnf(43,axiom,
    ( ssskP0(u)
    | c1_2(u,a683) ),
    file('SYN540-1.p',unknown),
    [] ).

cnf(42,axiom,
    ( ssskP0(u)
    | c4_2(u,a683) ),
    file('SYN540-1.p',unknown),
    [] ).

cnf(301,plain,
    ~ c5_2(a723,a724),
    inference(mrr,[status(thm)],[163,298]),
    [iquote('8:MRR:163.0,298.0')] ).

cnf(296,plain,
    ~ c3_2(a685,a686),
    inference(mrr,[status(thm)],[174,292]),
    [iquote('7:MRR:174.0,292.0')] ).

cnf(295,plain,
    ~ c5_2(a685,a686),
    inference(mrr,[status(thm)],[173,292]),
    [iquote('7:MRR:173.0,292.0')] ).

cnf(294,plain,
    ~ c4_2(a685,a686),
    inference(mrr,[status(thm)],[172,292]),
    [iquote('7:MRR:172.0,292.0')] ).

cnf(290,plain,
    ~ c4_2(a689,a691),
    inference(mrr,[status(thm)],[162,284]),
    [iquote('6:MRR:162.0,284.0')] ).

cnf(289,plain,
    ~ c1_2(a689,a690),
    inference(mrr,[status(thm)],[161,284]),
    [iquote('6:MRR:161.0,284.0')] ).

cnf(278,plain,
    ~ c4_2(a698,a699),
    inference(mrr,[status(thm)],[49,275]),
    [iquote('4:MRR:49.1,275.0')] ).

cnf(277,plain,
    ~ c1_2(a698,a699),
    inference(mrr,[status(thm)],[50,275]),
    [iquote('4:MRR:50.1,275.0')] ).

cnf(305,plain,
    ~ c1_1(a692),
    inference(mrr,[status(thm)],[37,303]),
    [iquote('9:MRR:37.1,303.0')] ).

cnf(304,plain,
    ~ c4_1(a692),
    inference(mrr,[status(thm)],[38,303]),
    [iquote('9:MRR:38.1,303.0')] ).

cnf(300,plain,
    c4_2(a723,a724),
    inference(mrr,[status(thm)],[157,298]),
    [iquote('8:MRR:157.0,298.0')] ).

cnf(299,plain,
    c2_2(a723,a724),
    inference(mrr,[status(thm)],[156,298]),
    [iquote('8:MRR:156.0,298.0')] ).

cnf(293,plain,
    ~ c1_1(a685),
    inference(mrr,[status(thm)],[170,292]),
    [iquote('7:MRR:170.0,292.0')] ).

cnf(288,plain,
    c5_2(a689,a691),
    inference(mrr,[status(thm)],[155,284]),
    [iquote('6:MRR:155.0,284.0')] ).

cnf(287,plain,
    c1_2(a689,a691),
    inference(mrr,[status(thm)],[154,284]),
    [iquote('6:MRR:154.0,284.0')] ).

cnf(286,plain,
    c2_2(a689,a690),
    inference(mrr,[status(thm)],[153,284]),
    [iquote('6:MRR:153.0,284.0')] ).

cnf(285,plain,
    c3_2(a689,a690),
    inference(mrr,[status(thm)],[152,284]),
    [iquote('6:MRR:152.0,284.0')] ).

cnf(147,plain,
    ~ c3_1(a694),
    inference(mrr,[status(thm)],[27,145]),
    [iquote('0:MRR:27.1,145.0')] ).

cnf(146,plain,
    ~ c1_1(a694),
    inference(mrr,[status(thm)],[28,145]),
    [iquote('0:MRR:28.1,145.0')] ).

cnf(311,plain,
    ssskC5,
    inference(spt,[],[19]),
    [iquote('12:Spt:19.0')] ).

cnf(276,plain,
    c3_1(a698),
    inference(mrr,[status(thm)],[11,275]),
    [iquote('4:MRR:11.0,275.0')] ).

cnf(308,plain,
    ssskC4,
    inference(spt,[],[20]),
    [iquote('11:Spt:20.0')] ).

cnf(167,plain,
    ~ c3_0,
    inference(mrr,[status(thm)],[159,166]),
    [iquote('0:MRR:159.0,166.1')] ).

cnf(307,plain,
    ssskC3,
    inference(spt,[],[36]),
    [iquote('10:Spt:36.1')] ).

cnf(145,plain,
    ~ c4_0,
    inference(mrr,[status(thm)],[59,16,144]),
    [iquote('0:MRR:59.0,59.2,16.1,144.0')] ).

cnf(303,plain,
    ~ ssskC2,
    inference(spt,[],[169]),
    [iquote('9:Spt:169.0')] ).

cnf(144,plain,
    ~ c1_0,
    inference(mrr,[status(thm)],[33,15]),
    [iquote('0:MRR:33.0,15.1')] ).

cnf(298,plain,
    ssskC6,
    inference(spt,[],[17]),
    [iquote('8:Spt:17.0')] ).

cnf(292,plain,
    ssskC0,
    inference(spt,[],[178]),
    [iquote('7:Spt:178.1')] ).

cnf(143,plain,
    ndr1_0,
    inference(mrr,[status(thm)],[12,3]),
    [iquote('0:MRR:12.0,3.1')] ).

cnf(284,plain,
    ssskC1,
    inference(spt,[],[39]),
    [iquote('6:Spt:39.0')] ).

cnf(275,plain,
    ~ c5_0,
    inference(spt,[],[168]),
    [iquote('4:Spt:168.0')] ).

cnf(251,plain,
    ndr1_1(u),
    inference(spt,[],[164]),
    [iquote('3:Spt:164.1')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SYN540-1 : TPTP v8.1.0. Released v2.1.0.
% 0.11/0.12  % Command  : run_spass %d %s
% 0.12/0.33  % Computer : n021.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 : Mon Jul 11 13:24:53 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.44  
% 0.18/0.44  SPASS V 3.9 
% 0.18/0.44  SPASS beiseite: Completion found.
% 0.18/0.44  % SZS status CounterSatisfiable
% 0.18/0.44  Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p 
% 0.18/0.44  SPASS derived 206 clauses, backtracked 0 clauses, performed 19 splits and kept 240 clauses.
% 0.18/0.44  SPASS allocated 76021 KBytes.
% 0.18/0.44  SPASS spent	0:00:00.10 on the problem.
% 0.18/0.44  		0:00:00.04 for the input.
% 0.18/0.44  		0:00:00.00 for the FLOTTER CNF translation.
% 0.18/0.44  		0:00:00.00 for inferences.
% 0.18/0.44  		0:00:00.00 for the backtracking.
% 0.18/0.44  		0:00:00.03 for the reduction.
% 0.18/0.44  
% 0.18/0.44  
% 0.18/0.44   The saturated set of worked-off clauses is :
% 0.18/0.44  % SZS output start Saturation
% See solution above
%------------------------------------------------------------------------------