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 : n019.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   : CounterSatisfiable 0.19s 0.50s
% Output   : Saturation 0.19s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named 550)

% Comments : 
%------------------------------------------------------------------------------
cnf(560,plain,
    ( ~ c4_1(u)
    | ~ c2_1(u)
    | ~ c2_2(u,a711)
    | ~ c1_2(u,v)
    | ~ c2_2(u,v)
    | c1_2(u,w)
    | c5_2(u,w)
    | c1_2(u,a682)
    | c3_1(u)
    | c2_2(u,a695) ),
    inference(mrr,[status(thm)],[550,388]),
    [iquote('16:MRR:550.9,388.1')] ).

cnf(559,plain,
    ( ~ c4_1(u)
    | ~ c2_1(u)
    | ~ c2_2(u,a711)
    | ~ c1_2(u,v)
    | ~ c2_2(u,v)
    | c1_2(u,w)
    | c5_2(u,w)
    | c1_2(u,a682)
    | c3_1(u)
    | c3_2(u,a695) ),
    inference(mrr,[status(thm)],[551,388]),
    [iquote('16:MRR:551.9,388.1')] ).

cnf(544,plain,
    ( ~ c4_1(u)
    | ~ c4_2(u,v)
    | ~ c4_2(u,a682)
    | c1_2(u,v)
    | c1_2(u,w)
    | c4_2(u,a711)
    | c3_2(u,v)
    | c5_2(u,w) ),
    inference(obv,[status(thm),theory(equality)],[541]),
    [iquote('18:Obv:541.5')] ).

cnf(527,plain,
    ( ~ c4_1(u)
    | ~ c4_2(u,v)
    | c1_2(u,v)
    | c1_2(u,w)
    | c4_2(u,a711)
    | c3_2(u,v)
    | c5_2(u,w)
    | c1_2(u,a682) ),
    inference(obv,[status(thm),theory(equality)],[524]),
    [iquote('16:Obv:524.4')] ).

cnf(539,plain,
    ( ~ c4_1(u)
    | ~ c2_1(u)
    | ~ c2_2(u,v)
    | c4_2(u,a711)
    | c5_2(u,v)
    | c1_2(u,a682)
    | c3_2(u,a709)
    | c2_2(u,a695) ),
    inference(obv,[status(thm),theory(equality)],[528]),
    [iquote('16:Obv:528.5')] ).

cnf(538,plain,
    ( ~ c4_1(u)
    | ~ c2_1(u)
    | ~ c2_2(u,v)
    | c4_2(u,a711)
    | c5_2(u,v)
    | c1_2(u,a682)
    | c3_2(u,a709)
    | c3_2(u,a695) ),
    inference(obv,[status(thm),theory(equality)],[529]),
    [iquote('16:Obv:529.5')] ).

cnf(543,plain,
    ( ~ c2_1(u)
    | ~ c4_1(u)
    | ~ c4_2(u,a682)
    | c1_2(u,v)
    | c4_2(u,a711)
    | c3_2(u,a709)
    | c5_2(u,v) ),
    inference(mrr,[status(thm)],[540,278]),
    [iquote('18:MRR:540.2,278.1')] ).

cnf(535,plain,
    ( ~ c4_1(u)
    | ~ c2_1(u)
    | c1_2(u,v)
    | c4_2(u,a711)
    | c5_2(u,v)
    | c1_2(u,a682)
    | c3_1(u) ),
    inference(obv,[status(thm),theory(equality)],[534]),
    [iquote('16:Obv:534.0')] ).

cnf(455,plain,
    ( ~ c4_1(u)
    | ~ c2_2(u,v)
    | ~ c4_2(u,v)
    | ~ c4_2(u,a682)
    | c1_2(u,w)
    | c4_2(u,a711)
    | c3_2(u,v)
    | c5_2(u,w) ),
    inference(res,[status(thm),theory(equality)],[364,453]),
    [iquote('18:Res:364.2,453.0')] ).

cnf(526,plain,
    ( ~ c2_1(u)
    | ~ c4_1(u)
    | c1_2(u,v)
    | c4_2(u,a711)
    | c3_2(u,a709)
    | c5_2(u,v)
    | c1_2(u,a682) ),
    inference(mrr,[status(thm)],[523,278]),
    [iquote('16:MRR:523.2,278.1')] ).

cnf(445,plain,
    ( ~ c4_1(u)
    | ~ c2_2(u,v)
    | ~ c4_2(u,v)
    | c1_2(u,w)
    | c4_2(u,a711)
    | c3_2(u,v)
    | c5_2(u,w)
    | c1_2(u,a682) ),
    inference(res,[status(thm),theory(equality)],[364,443]),
    [iquote('16:Res:364.2,443.0')] ).

cnf(493,plain,
    ( ~ c4_1(u)
    | ~ c2_1(u)
    | ~ c4_2(u,v)
    | ~ c4_2(u,a682)
    | c1_2(u,v)
    | c4_2(u,a711)
    | c3_2(u,v)
    | c5_2(u,a709) ),
    inference(res,[status(thm),theory(equality)],[364,454]),
    [iquote('18:Res:364.2,454.1')] ).

cnf(458,plain,
    ( ~ c4_1(u)
    | ~ c2_1(u)
    | ~ c4_2(u,v)
    | c1_2(u,v)
    | c4_2(u,a711)
    | c3_2(u,v)
    | c5_2(u,a709)
    | c1_2(u,a682) ),
    inference(res,[status(thm),theory(equality)],[364,444]),
    [iquote('16:Res:364.2,444.1')] ).

cnf(474,plain,
    ( ~ c4_1(u)
    | ~ c2_2(u,a711)
    | ~ c2_2(u,v)
    | c1_1(u)
    | c1_2(u,w)
    | c3_2(u,a711)
    | c2_2(u,a695) ),
    inference(mrr,[status(thm)],[470,253]),
    [iquote('12:MRR:470.2,253.2')] ).

cnf(437,plain,
    ( ~ c4_1(u)
    | ~ c2_2(u,a711)
    | ~ c2_2(u,v)
    | c1_1(u)
    | c1_2(u,w)
    | c3_2(u,a711)
    | c3_2(u,a695) ),
    inference(mrr,[status(thm)],[433,253]),
    [iquote('12:MRR:433.2,253.2')] ).

cnf(473,plain,
    ( ~ c4_1(u)
    | ~ c2_2(u,a681)
    | ~ c2_2(u,v)
    | c1_1(u)
    | c1_2(u,a711)
    | c3_2(u,a681)
    | c2_2(u,a695) ),
    inference(mrr,[status(thm)],[471,253]),
    [iquote('12:MRR:471.2,253.2')] ).

cnf(436,plain,
    ( ~ c4_1(u)
    | ~ c2_2(u,a681)
    | ~ c2_2(u,v)
    | c1_1(u)
    | c1_2(u,a711)
    | c3_2(u,a681)
    | c3_2(u,a695) ),
    inference(mrr,[status(thm)],[434,253]),
    [iquote('12:MRR:434.2,253.2')] ).

cnf(496,plain,
    ( ~ c2_1(u)
    | ~ c4_2(u,a682)
    | c3_2(u,a709)
    | c5_2(u,a709) ),
    inference(mrr,[status(thm)],[495,278]),
    [iquote('18:MRR:495.1,278.1')] ).

cnf(454,plain,
    ( ~ c2_1(u)
    | ~ c2_2(u,v)
    | ~ c4_2(u,v)
    | ~ c4_2(u,a682)
    | c3_2(u,v)
    | c5_2(u,a709) ),
    inference(res,[status(thm),theory(equality)],[279,453]),
    [iquote('18:Res:279.1,453.0')] ).

cnf(468,plain,
    ( ~ skP0(u)
    | ~ c2_2(u,a683)
    | ~ c1_2(u,v)
    | ~ c2_2(u,v)
    | c3_2(u,a683)
    | c2_2(u,a695) ),
    inference(res,[status(thm),theory(equality)],[76,252]),
    [iquote('3:Res:76.1,252.0')] ).

cnf(480,plain,
    ( ~ skP0(u)
    | ~ c2_1(u)
    | ~ c2_2(u,a683)
    | c3_2(u,a709)
    | c2_2(u,a695) ),
    inference(res,[status(thm),theory(equality)],[77,472]),
    [iquote('4:Res:77.1,472.1')] ).

cnf(484,plain,
    ( ~ c2_1(a698)
    | ~ c2_2(a698,u)
    | c5_2(a698,u)
    | c3_2(a698,a709)
    | c2_2(a698,a695) ),
    inference(res,[status(thm),theory(equality)],[421,472]),
    [iquote('15:Res:421.1,472.1')] ).

cnf(487,plain,
    ( ~ c2_1(u)
    | ~ c2_2(u,a682)
    | c5_2(u,a709)
    | c3_1(u)
    | c2_2(u,a695) ),
    inference(mrr,[status(thm)],[486,389]),
    [iquote('16:MRR:486.4,389.1')] ).

cnf(431,plain,
    ( ~ skP0(u)
    | ~ c2_2(u,a683)
    | ~ c1_2(u,v)
    | ~ c2_2(u,v)
    | c3_2(u,a683)
    | c3_2(u,a695) ),
    inference(res,[status(thm),theory(equality)],[76,251]),
    [iquote('3:Res:76.1,251.0')] ).

cnf(472,plain,
    ( ~ c2_1(u)
    | ~ c1_2(u,v)
    | ~ c2_2(u,v)
    | c3_2(u,a709)
    | c2_2(u,a695) ),
    inference(mrr,[status(thm)],[469,279]),
    [iquote('4:MRR:469.1,279.1')] ).

cnf(478,plain,
    ( ~ c2_1(u)
    | ~ c2_2(u,a682)
    | c5_2(u,a709)
    | c3_1(u)
    | c3_2(u,a695) ),
    inference(mrr,[status(thm)],[477,389]),
    [iquote('16:MRR:477.4,389.1')] ).

cnf(476,plain,
    ( ~ c2_1(a702)
    | c5_2(a702,a709)
    | c3_1(a702)
    | c4_2(a702,a682) ),
    inference(res,[status(thm),theory(equality)],[466,265]),
    [iquote('16:Res:466.2,265.0')] ).

cnf(466,plain,
    ( ~ c2_1(u)
    | c5_2(u,a709)
    | c1_2(u,a682)
    | c3_1(u) ),
    inference(obv,[status(thm),theory(equality)],[465]),
    [iquote('16:Obv:465.0')] ).

cnf(252,plain,
    ( ~ c4_2(u,v)
    | ~ c2_2(u,v)
    | ~ c1_2(u,w)
    | ~ c2_2(u,w)
    | c3_2(u,v)
    | c2_2(u,a695) ),
    inference(mrr,[status(thm)],[249,250]),
    [iquote('3:MRR:249.0,250.0')] ).

cnf(467,plain,
    ( ~ c2_1(a722)
    | c5_2(a722,a709)
    | c1_2(a722,a682) ),
    inference(mrr,[status(thm)],[463,279,280]),
    [iquote('16:MRR:463.1,463.4,279.1,280.1')] ).

cnf(461,plain,
    ( ~ c2_1(u)
    | c3_2(u,a709)
    | c5_2(u,a709)
    | c1_2(u,a682) ),
    inference(mrr,[status(thm)],[460,278]),
    [iquote('16:MRR:460.1,278.1')] ).

cnf(444,plain,
    ( ~ c2_1(u)
    | ~ c2_2(u,v)
    | ~ c4_2(u,v)
    | c3_2(u,v)
    | c5_2(u,a709)
    | c1_2(u,a682) ),
    inference(res,[status(thm),theory(equality)],[279,443]),
    [iquote('16:Res:279.1,443.0')] ).

cnf(452,plain,
    ( ~ c2_1(a689)
    | c3_2(a689,a709) ),
    inference(mrr,[status(thm)],[449,278]),
    [iquote('17:MRR:449.1,278.1')] ).

cnf(453,plain,
    ( ~ c2_2(u,v)
    | ~ c2_2(u,w)
    | ~ c4_2(u,w)
    | ~ c4_2(u,a682)
    | c3_2(u,w)
    | c5_2(u,v) ),
    inference(spt,[],[273]),
    [iquote('18:Spt:273.1,273.2,273.3,273.4,273.6,273.7')] ).

cnf(448,plain,
    ( ~ c2_2(a689,u)
    | ~ c4_2(a689,u)
    | c3_2(a689,u) ),
    inference(spt,[],[446]),
    [iquote('17:Spt:446.0,446.1,446.2')] ).

cnf(438,plain,
    ( ~ skP0(u)
    | ~ c2_1(u)
    | ~ c2_2(u,a683)
    | c3_2(u,a709)
    | c3_2(u,a695) ),
    inference(res,[status(thm),theory(equality)],[77,435]),
    [iquote('4:Res:77.1,435.1')] ).

cnf(441,plain,
    ( ~ c2_1(a698)
    | ~ c2_2(a698,u)
    | c5_2(a698,u)
    | c3_2(a698,a709)
    | c3_2(a698,a695) ),
    inference(res,[status(thm),theory(equality)],[421,435]),
    [iquote('15:Res:421.1,435.1')] ).

cnf(443,plain,
    ( ~ c2_2(u,v)
    | ~ c2_2(u,w)
    | ~ c4_2(u,w)
    | c3_2(u,w)
    | c5_2(u,v)
    | c1_2(u,a682) ),
    inference(spt,[],[272]),
    [iquote('16:Spt:272.1,272.2,272.3,272.5,272.6,272.7')] ).

cnf(435,plain,
    ( ~ c2_1(u)
    | ~ c1_2(u,v)
    | ~ c2_2(u,v)
    | c3_2(u,a709)
    | c3_2(u,a695) ),
    inference(mrr,[status(thm)],[432,279]),
    [iquote('4:MRR:432.1,279.1')] ).

cnf(251,plain,
    ( ~ c4_2(u,v)
    | ~ c2_2(u,v)
    | ~ c1_2(u,w)
    | ~ c2_2(u,w)
    | c3_2(u,v)
    | c3_2(u,a695) ),
    inference(mrr,[status(thm)],[248,250]),
    [iquote('3:MRR:248.0,250.0')] ).

cnf(429,plain,
    ( ~ c4_1(u)
    | ~ c1_2(u,a681)
    | c1_1(u)
    | c1_2(u,a711) ),
    inference(mrr,[status(thm)],[428,321,253]),
    [iquote('12:MRR:428.3,428.5,321.0,253.0')] ).

cnf(423,plain,
    ( ~ c2_1(a698)
    | c5_2(a698,a709) ),
    inference(res,[status(thm),theory(equality)],[421,280]),
    [iquote('15:Res:421.1,280.1')] ).

cnf(263,plain,
    ( ~ c4_2(u,v)
    | ~ c1_2(u,a681)
    | c2_1(u)
    | c1_2(u,v)
    | c2_2(u,v) ),
    inference(mrr,[status(thm)],[207,250]),
    [iquote('3:MRR:207.0,250.0')] ).

cnf(421,plain,
    ( c5_2(a698,u)
    | c1_2(a698,u) ),
    inference(spt,[],[420]),
    [iquote('15:Spt:420.0,420.2')] ).

cnf(409,plain,
    ( ~ c4_1(u)
    | c1_1(u)
    | c1_2(u,a711)
    | c5_2(u,a681) ),
    inference(mrr,[status(thm)],[408,321,253]),
    [iquote('12:MRR:408.2,408.4,321.0,253.0')] ).

cnf(402,plain,
    ( ~ c4_1(u)
    | c1_1(u)
    | c1_2(u,a711)
    | c4_2(u,a681) ),
    inference(mrr,[status(thm)],[401,321,253]),
    [iquote('12:MRR:401.2,401.4,321.0,253.0')] ).

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)],[206,250]),
    [iquote('3:MRR:206.0,250.0')] ).

cnf(261,plain,
    ( ~ c4_2(u,v)
    | c2_1(u)
    | c1_2(u,v)
    | c2_2(u,v)
    | c4_2(u,a681) ),
    inference(mrr,[status(thm)],[205,250]),
    [iquote('3:MRR:205.0,250.0')] ).

cnf(390,plain,
    ( ~ c4_1(u)
    | ~ c3_2(u,v)
    | c1_2(u,v)
    | c4_2(u,a711)
    | c3_1(u) ),
    inference(res,[status(thm),theory(equality)],[364,388]),
    [iquote('13:Res:364.2,388.0')] ).

cnf(389,plain,
    ( ~ c2_1(u)
    | ~ c3_2(u,a709)
    | c3_1(u) ),
    inference(res,[status(thm),theory(equality)],[279,388]),
    [iquote('13:Res:279.1,388.0')] ).

cnf(392,plain,
    c3_1(a689),
    inference(mrr,[status(thm)],[391,342]),
    [iquote('13:MRR:391.0,342.0')] ).

cnf(388,plain,
    ( ~ c2_2(u,v)
    | ~ c3_2(u,v)
    | c3_1(u) ),
    inference(spt,[],[256]),
    [iquote('13:Spt:256.2,256.3,256.4')] ).

cnf(365,plain,
    ( ~ c4_1(u)
    | ~ c2_2(u,a711)
    | c1_2(u,v)
    | c2_2(u,v) ),
    inference(mrr,[status(thm)],[255,363]),
    [iquote('12:MRR:255.2,363.0')] ).

cnf(381,plain,
    ( ~ c4_1(u)
    | c4_2(u,a711)
    | c1_1(u)
    | c1_2(u,v) ),
    inference(obv,[status(thm),theory(equality)],[378]),
    [iquote('12:Obv:378.1')] ).

cnf(364,plain,
    ( ~ c4_1(u)
    | c1_2(u,v)
    | c2_2(u,v)
    | c4_2(u,a711) ),
    inference(mrr,[status(thm)],[254,363]),
    [iquote('12:MRR:254.1,363.0')] ).

cnf(377,plain,
    ( ~ skP0(a722)
    | ~ c5_2(a722,a683) ),
    inference(mrr,[status(thm)],[375,77]),
    [iquote('8:MRR:375.2,77.1')] ).

cnf(356,plain,
    ( ~ c4_2(a722,u)
    | ~ c5_2(a722,u)
    | ~ c1_2(a722,u) ),
    inference(mrr,[status(thm)],[267,353]),
    [iquote('8:MRR:267.0,353.0')] ).

cnf(355,plain,
    ( ~ c3_2(a722,u)
    | ~ c2_2(a722,u)
    | c1_2(a722,u) ),
    inference(mrr,[status(thm)],[266,353]),
    [iquote('8:MRR:266.0,353.0')] ).

cnf(373,plain,
    ( ~ skP0(a689)
    | ~ c5_2(a689,a683)
    | c3_2(a689,a683) ),
    inference(res,[status(thm),theory(equality)],[76,346]),
    [iquote('6:Res:76.1,346.0')] ).

cnf(346,plain,
    ( ~ c4_2(a689,u)
    | ~ c5_2(a689,u)
    | c3_2(a689,u) ),
    inference(mrr,[status(thm)],[194,339]),
    [iquote('6:MRR:194.2,339.0')] ).

cnf(360,plain,
    ( ~ c3_2(a692,u)
    | c2_2(a692,u)
    | c4_2(a692,u) ),
    inference(mrr,[status(thm)],[270,357]),
    [iquote('9:MRR:270.0,357.0')] ).

cnf(352,plain,
    ( ~ c2_2(a685,u)
    | c1_2(a685,u) ),
    inference(mrr,[status(thm)],[189,347]),
    [iquote('7:MRR:189.1,347.0')] ).

cnf(351,plain,
    ~ c4_2(a685,a686),
    inference(mrr,[status(thm)],[173,347]),
    [iquote('7:MRR:173.1,347.0')] ).

cnf(350,plain,
    ~ c5_2(a685,a686),
    inference(mrr,[status(thm)],[174,347]),
    [iquote('7:MRR:174.1,347.0')] ).

cnf(349,plain,
    ~ c3_2(a685,a686),
    inference(mrr,[status(thm)],[175,347]),
    [iquote('7:MRR:175.1,347.0')] ).

cnf(345,plain,
    ~ c1_2(a689,a690),
    inference(mrr,[status(thm)],[160,339]),
    [iquote('6:MRR:160.1,339.0')] ).

cnf(371,plain,
    ~ c2_1(a692),
    inference(res,[status(thm),theory(equality)],[321,358]),
    [iquote('9:Res:321.1,358.0')] ).

cnf(370,plain,
    ~ c5_1(a692),
    inference(res,[status(thm),theory(equality)],[322,358]),
    [iquote('9:Res:322.1,358.0')] ).

cnf(369,plain,
    ~ c2_1(a685),
    inference(res,[status(thm),theory(equality)],[321,348]),
    [iquote('7:Res:321.1,348.0')] ).

cnf(368,plain,
    ~ c5_1(a685),
    inference(res,[status(thm),theory(equality)],[322,348]),
    [iquote('7:Res:322.1,348.0')] ).

cnf(344,plain,
    ~ c4_2(a689,a691),
    inference(mrr,[status(thm)],[159,339]),
    [iquote('6:MRR:159.1,339.0')] ).

cnf(359,plain,
    ~ c4_1(a692),
    inference(mrr,[status(thm)],[54,357]),
    [iquote('9:MRR:54.0,357.0')] ).

cnf(358,plain,
    ~ c1_1(a692),
    inference(mrr,[status(thm)],[53,357]),
    [iquote('9:MRR:53.0,357.0')] ).

cnf(348,plain,
    ~ c1_1(a685),
    inference(mrr,[status(thm)],[172,347]),
    [iquote('7:MRR:172.1,347.0')] ).

cnf(367,plain,
    c1_1(a689),
    inference(mrr,[status(thm)],[366,345]),
    [iquote('6:MRR:366.1,345.0')] ).

cnf(343,plain,
    c2_2(a689,a690),
    inference(mrr,[status(thm)],[156,339]),
    [iquote('6:MRR:156.0,339.0')] ).

cnf(363,plain,
    ~ skC4,
    inference(spt,[],[29]),
    [iquote('12:Spt:29.0')] ).

cnf(342,plain,
    c3_2(a689,a690),
    inference(mrr,[status(thm)],[155,339]),
    [iquote('6:MRR:155.0,339.0')] ).

cnf(362,plain,
    ~ skC5,
    inference(spt,[],[30]),
    [iquote('11:Spt:30.0')] ).

cnf(341,plain,
    c1_2(a689,a691),
    inference(mrr,[status(thm)],[153,339]),
    [iquote('6:MRR:153.0,339.0')] ).

cnf(361,plain,
    ~ skC3,
    inference(spt,[],[55]),
    [iquote('10:Spt:55.0')] ).

cnf(354,plain,
    c3_1(a722),
    inference(mrr,[status(thm)],[32,353]),
    [iquote('8:MRR:32.0,353.0')] ).

cnf(357,plain,
    skC2,
    inference(spt,[],[170]),
    [iquote('9:Spt:170.0')] ).

cnf(339,plain,
    ~ skC1,
    inference(spt,[],[337,154,283]),
    [iquote('6:Spt:337.0,154.0,283.0')] ).

cnf(353,plain,
    skC6,
    inference(spt,[],[146]),
    [iquote('8:Spt:146.0')] ).

cnf(347,plain,
    ~ skC0,
    inference(spt,[],[179]),
    [iquote('7:Spt:179.0')] ).

cnf(340,plain,
    c5_2(a689,a691),
    inference(spt,[],[337,154]),
    [iquote('6:Spt:337.0,154.1')] ).

cnf(322,plain,
    ( ~ c5_1(u)
    | c1_1(u) ),
    inference(mrr,[status(thm)],[282,321]),
    [iquote('5:MRR:282.2,321.0')] ).

cnf(327,plain,
    ~ c5_1(a694),
    inference(mrr,[status(thm)],[308,323]),
    [iquote('5:MRR:308.1,323.0')] ).

cnf(323,plain,
    ~ c2_1(a694),
    inference(res,[status(thm),theory(equality)],[321,150]),
    [iquote('4:Res:321.1,150.0')] ).

cnf(321,plain,
    ( ~ c2_1(u)
    | c1_1(u) ),
    inference(mrr,[status(thm)],[319,280]),
    [iquote('4:MRR:319.2,280.1')] ).

cnf(253,plain,
    ( ~ c2_2(u,v)
    | c1_1(u)
    | c1_2(u,v) ),
    inference(mrr,[status(thm)],[192,250]),
    [iquote('3:MRR:192.0,250.0')] ).

cnf(317,plain,
    c5_2(a698,a699),
    inference(mrr,[status(thm)],[316,276]),
    [iquote('4:MRR:316.0,276.0')] ).

cnf(269,plain,
    ( c3_2(a694,u)
    | c4_2(a694,u)
    | c2_2(a694,u) ),
    inference(mrr,[status(thm)],[191,250]),
    [iquote('3:MRR:191.0,250.0')] ).

cnf(280,plain,
    ( ~ c2_1(u)
    | ~ c1_2(u,a709) ),
    inference(mrr,[status(thm)],[182,274]),
    [iquote('4:MRR:182.2,274.0')] ).

cnf(265,plain,
    ( ~ c1_2(a702,u)
    | c4_2(a702,u) ),
    inference(mrr,[status(thm)],[186,250]),
    [iquote('3:MRR:186.0,250.0')] ).

cnf(264,plain,
    ( ~ c5_2(a702,u)
    | c1_2(a702,u) ),
    inference(mrr,[status(thm)],[185,250]),
    [iquote('3:MRR:185.0,250.0')] ).

cnf(279,plain,
    ( ~ c2_1(u)
    | c2_2(u,a709) ),
    inference(mrr,[status(thm)],[181,274]),
    [iquote('4:MRR:181.1,274.0')] ).

cnf(278,plain,
    ( ~ c2_1(u)
    | c4_2(u,a709) ),
    inference(mrr,[status(thm)],[180,274]),
    [iquote('4:MRR:180.1,274.0')] ).

cnf(77,axiom,
    ( ~ skP0(u)
    | c1_2(u,a683) ),
    file('SYN540+1.p',unknown),
    [] ).

cnf(76,axiom,
    ( ~ skP0(u)
    | c4_2(u,a683) ),
    file('SYN540+1.p',unknown),
    [] ).

cnf(277,plain,
    ~ c4_2(a698,a699),
    inference(mrr,[status(thm)],[42,274]),
    [iquote('4:MRR:42.1,274.0')] ).

cnf(276,plain,
    ~ c1_2(a698,a699),
    inference(mrr,[status(thm)],[43,274]),
    [iquote('4:MRR:43.1,274.0')] ).

cnf(151,plain,
    ~ c3_1(a694),
    inference(mrr,[status(thm)],[21,149]),
    [iquote('0:MRR:21.1,149.0')] ).

cnf(150,plain,
    ~ c1_1(a694),
    inference(mrr,[status(thm)],[22,149]),
    [iquote('0:MRR:22.1,149.0')] ).

cnf(275,plain,
    c3_1(a698),
    inference(mrr,[status(thm)],[8,274]),
    [iquote('4:MRR:8.0,274.0')] ).

cnf(168,plain,
    ~ c3_0,
    inference(mrr,[status(thm)],[162,167]),
    [iquote('0:MRR:162.0,167.1')] ).

cnf(149,plain,
    ~ c4_0,
    inference(mrr,[status(thm)],[39,10,144]),
    [iquote('0:MRR:39.0,39.2,10.1,144.0')] ).

cnf(144,plain,
    ~ c1_0,
    inference(mrr,[status(thm)],[24,6]),
    [iquote('0:MRR:24.0,6.1')] ).

cnf(143,plain,
    ndr1_0,
    inference(mrr,[status(thm)],[7,1]),
    [iquote('0:MRR:7.0,1.1')] ).

cnf(274,plain,
    ~ c5_0,
    inference(spt,[],[169]),
    [iquote('4:Spt:169.0')] ).

cnf(250,plain,
    ndr1_1(u),
    inference(spt,[],[164]),
    [iquote('3:Spt:164.1')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SYN540+1 : TPTP v8.1.0. Released v2.1.0.
% 0.07/0.12  % Command  : run_spass %d %s
% 0.12/0.33  % Computer : n019.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
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Tue Jul 12 07:20:38 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.19/0.50  
% 0.19/0.50  SPASS V 3.9 
% 0.19/0.50  SPASS beiseite: Completion found.
% 0.19/0.50  % SZS status CounterSatisfiable
% 0.19/0.50  Problem: /export/starexec/sandbox/benchmark/theBenchmark.p 
% 0.19/0.50  SPASS derived 270 clauses, backtracked 44 clauses, performed 24 splits and kept 328 clauses.
% 0.19/0.50  SPASS allocated 98093 KBytes.
% 0.19/0.50  SPASS spent	0:00:00.15 on the problem.
% 0.19/0.50  		0:00:00.04 for the input.
% 0.19/0.50  		0:00:00.05 for the FLOTTER CNF translation.
% 0.19/0.50  		0:00:00.00 for inferences.
% 0.19/0.50  		0:00:00.00 for the backtracking.
% 0.19/0.50  		0:00:00.03 for the reduction.
% 0.19/0.50  
% 0.19/0.50  
% 0.19/0.50   The saturated set of worked-off clauses is :
% 0.19/0.50  % SZS output start Saturation
% See solution above
%------------------------------------------------------------------------------