TSTP Solution File: SYN539+1 by SPASS---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : SYN539+1 : TPTP v8.1.0. Released v2.1.0.
% Transfm  : none
% Format   : tptp
% Command  : run_spass %d %s

% Computer : n016.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 12:22:41 EDT 2022

% Result   : CounterSatisfiable 0.23s 0.53s
% Output   : Saturation 0.23s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named 515)

% Comments : 
%------------------------------------------------------------------------------
cnf(535,plain,
    ( ~ skP0(u)
    | ~ c3_1(u)
    | ~ skP2(u)
    | ~ c1_1(u)
    | ~ c3_2(u,a636)
    | c1_2(u,a599) ),
    inference(res,[status(thm),theory(equality)],[60,520]),
    [iquote('15:Res:60.1,520.3')] ).

cnf(532,plain,
    ( ~ skP0(u)
    | ~ c3_1(u)
    | ~ skP2(u)
    | ~ c1_1(u)
    | c1_2(u,a599)
    | c2_2(u,a636) ),
    inference(res,[status(thm),theory(equality)],[60,519]),
    [iquote('15:Res:60.1,519.3')] ).

cnf(520,plain,
    ( ~ c3_1(u)
    | ~ skP2(u)
    | ~ c1_1(u)
    | ~ c2_2(u,v)
    | ~ c3_2(u,a636)
    | c1_2(u,v) ),
    inference(mrr,[status(thm)],[515,75]),
    [iquote('15:MRR:515.5,75.1')] ).

cnf(519,plain,
    ( ~ c3_1(u)
    | ~ skP2(u)
    | ~ c1_1(u)
    | ~ c2_2(u,v)
    | c1_2(u,v)
    | c2_2(u,a636) ),
    inference(mrr,[status(thm)],[517,75]),
    [iquote('15:MRR:517.4,75.1')] ).

cnf(528,plain,
    ( ~ c3_1(u)
    | ~ c1_1(u)
    | ~ c2_1(u)
    | ~ c1_2(u,v)
    | c4_1(u)
    | c2_2(u,v) ),
    inference(obv,[status(thm),theory(equality)],[526]),
    [iquote('15:Obv:526.4')] ).

cnf(507,plain,
    ( ~ skP2(u)
    | ~ c1_1(u)
    | ~ c5_1(u)
    | ~ c2_2(u,a635)
    | c2_2(u,a603) ),
    inference(res,[status(thm),theory(equality)],[497,457]),
    [iquote('15:Res:497.2,457.1')] ).

cnf(523,plain,
    ( ~ c3_1(u)
    | ~ c1_1(u)
    | c4_2(u,v)
    | c2_2(u,v) ),
    inference(mrr,[status(thm)],[522,490]),
    [iquote('15:MRR:522.2,490.2')] ).

cnf(513,plain,
    ( ~ c3_1(u)
    | ~ skP2(u)
    | ~ c1_1(u)
    | c2_2(u,a603) ),
    inference(mrr,[status(thm)],[512,449]),
    [iquote('15:MRR:512.3,449.2')] ).

cnf(498,plain,
    ( ~ c3_1(u)
    | ~ c1_1(u)
    | c1_2(u,v)
    | c4_2(u,v) ),
    inference(obv,[status(thm),theory(equality)],[495]),
    [iquote('15:Obv:495.3')] ).

cnf(497,plain,
    ( ~ skP2(u)
    | ~ c1_1(u)
    | c1_2(u,a603) ),
    inference(mrr,[status(thm)],[494,75]),
    [iquote('15:MRR:494.3,75.1')] ).

cnf(496,plain,
    ( ~ c1_1(a611)
    | c4_2(a611,a612) ),
    inference(mrr,[status(thm)],[493,411]),
    [iquote('15:MRR:493.1,411.0')] ).

cnf(492,plain,
    ( ~ c1_1(u)
    | ~ c5_2(u,v)
    | c1_2(u,v)
    | c4_2(u,v) ),
    inference(spt,[],[425]),
    [iquote('15:Spt:425.0,425.1,425.4,425.5')] ).

cnf(483,plain,
    ( ~ c3_1(u)
    | ~ c1_1(u)
    | ~ skP0(u)
    | c4_2(u,a599) ),
    inference(res,[status(thm),theory(equality)],[482,73]),
    [iquote('14:Res:482.3,73.1')] ).

cnf(482,plain,
    ( ~ c3_1(u)
    | ~ c1_1(u)
    | c4_2(u,v)
    | c5_2(u,v) ),
    inference(spt,[],[430]),
    [iquote('14:Spt:430.0,430.1,430.4,430.5')] ).

cnf(481,plain,
    ( ~ skP0(u)
    | ~ c3_2(u,a636)
    | c4_2(u,a599)
    | c1_2(u,a599) ),
    inference(obv,[status(thm),theory(equality)],[480]),
    [iquote('4:Obv:480.0')] ).

cnf(479,plain,
    ( ~ skP0(u)
    | ~ c2_2(u,v)
    | ~ c3_2(u,a636)
    | c4_2(u,a599)
    | c1_2(u,v) ),
    inference(res,[status(thm),theory(equality)],[60,402]),
    [iquote('4:Res:60.1,402.0')] ).

cnf(402,plain,
    ( ~ c2_2(u,v)
    | ~ c2_2(u,w)
    | ~ c3_2(u,a636)
    | c4_2(u,v)
    | c1_2(u,w) ),
    inference(mrr,[status(thm)],[371,386]),
    [iquote('4:MRR:371.0,386.0')] ).

cnf(478,plain,
    ( ~ skP3(u)
    | ~ skC6
    | ~ c3_2(u,a632)
    | c2_1(u)
    | c5_2(u,a621)
    | c3_2(u,a621) ),
    inference(res,[status(thm),theory(equality)],[64,366]),
    [iquote('3:Res:64.1,366.1')] ).

cnf(366,plain,
    ( ~ skC6
    | ~ c1_2(u,v)
    | ~ c3_2(u,a632)
    | c2_1(u)
    | c5_2(u,v)
    | c3_2(u,v) ),
    inference(mrr,[status(thm)],[211,358]),
    [iquote('3:MRR:211.0,358.0')] ).

cnf(476,plain,
    ( ~ skP3(u)
    | ~ skC6
    | ~ c2_2(u,a632)
    | c2_1(u)
    | c5_2(u,a621)
    | c3_2(u,a621) ),
    inference(res,[status(thm),theory(equality)],[64,365]),
    [iquote('3:Res:64.1,365.1')] ).

cnf(475,plain,
    ( ~ skP0(u)
    | c4_2(u,a599)
    | c1_2(u,a599)
    | c2_2(u,a636) ),
    inference(obv,[status(thm),theory(equality)],[474]),
    [iquote('4:Obv:474.0')] ).

cnf(365,plain,
    ( ~ skC6
    | ~ c1_2(u,v)
    | ~ c2_2(u,a632)
    | c2_1(u)
    | c5_2(u,v)
    | c3_2(u,v) ),
    inference(mrr,[status(thm)],[212,358]),
    [iquote('3:MRR:212.0,358.0')] ).

cnf(473,plain,
    ( ~ skP0(u)
    | ~ c2_2(u,v)
    | c4_2(u,a599)
    | c1_2(u,v)
    | c2_2(u,a636) ),
    inference(res,[status(thm),theory(equality)],[60,400]),
    [iquote('4:Res:60.1,400.0')] ).

cnf(400,plain,
    ( ~ c2_2(u,v)
    | ~ c2_2(u,w)
    | c4_2(u,v)
    | c1_2(u,w)
    | c2_2(u,a636) ),
    inference(mrr,[status(thm)],[367,386]),
    [iquote('4:MRR:367.0,386.0')] ).

cnf(472,plain,
    ( ~ skP3(u)
    | ~ c4_1(u)
    | ~ c5_2(u,a628)
    | c3_2(u,a621) ),
    inference(mrr,[status(thm)],[471,76]),
    [iquote('12:MRR:471.4,76.1')] ).

cnf(470,plain,
    ( ~ skP3(u)
    | ~ c4_1(u)
    | ~ c1_2(u,a628)
    | c3_2(u,a621) ),
    inference(mrr,[status(thm)],[469,76]),
    [iquote('12:MRR:469.4,76.1')] ).

cnf(441,plain,
    ( ~ c4_1(u)
    | ~ c1_2(u,v)
    | ~ c5_2(u,a628)
    | c3_2(u,v)
    | c2_2(u,v) ),
    inference(mrr,[status(thm)],[370,438]),
    [iquote('12:MRR:370.1,438.0')] ).

cnf(440,plain,
    ( ~ c4_1(u)
    | ~ c1_2(u,v)
    | ~ c1_2(u,a628)
    | c3_2(u,v)
    | c2_2(u,v) ),
    inference(mrr,[status(thm)],[369,438]),
    [iquote('12:MRR:369.1,438.0')] ).

cnf(468,plain,
    ( ~ skP3(u)
    | ~ c5_2(u,a621)
    | ~ c1_2(u,a617)
    | c1_1(u) ),
    inference(mrr,[status(thm)],[467,76]),
    [iquote('4:MRR:467.4,76.1')] ).

cnf(401,plain,
    ( ~ c1_2(u,v)
    | ~ c5_2(u,v)
    | ~ c1_2(u,a617)
    | c1_1(u)
    | c2_2(u,v) ),
    inference(mrr,[status(thm)],[368,386]),
    [iquote('4:MRR:368.0,386.0')] ).

cnf(465,plain,
    ( ~ skP3(u)
    | ~ c4_1(u)
    | c3_2(u,a621)
    | c4_2(u,a628) ),
    inference(mrr,[status(thm)],[464,76]),
    [iquote('12:MRR:464.3,76.1')] ).

cnf(439,plain,
    ( ~ c4_1(u)
    | ~ c1_2(u,v)
    | c3_2(u,v)
    | c2_2(u,v)
    | c4_2(u,a628) ),
    inference(mrr,[status(thm)],[364,438]),
    [iquote('12:MRR:364.1,438.0')] ).

cnf(463,plain,
    ( ~ skP3(u)
    | ~ c2_1(u)
    | c4_1(u) ),
    inference(mrr,[status(thm)],[462,64,76]),
    [iquote('7:MRR:462.2,462.4,64.1,76.1')] ).

cnf(420,plain,
    ( ~ c2_1(u)
    | ~ c4_2(u,v)
    | ~ c1_2(u,v)
    | c4_1(u)
    | c2_2(u,v) ),
    inference(mrr,[status(thm)],[407,414]),
    [iquote('7:MRR:407.1,414.0')] ).

cnf(461,plain,
    ( ~ skP3(u)
    | ~ c5_2(u,a621)
    | c1_1(u)
    | c4_2(u,a617) ),
    inference(mrr,[status(thm)],[460,76]),
    [iquote('4:MRR:460.3,76.1')] ).

cnf(459,plain,
    ( ~ skP3(u)
    | ~ c5_1(u)
    | ~ c2_2(u,a635) ),
    inference(mrr,[status(thm)],[458,76]),
    [iquote('13:MRR:458.3,76.1')] ).

cnf(399,plain,
    ( ~ c1_2(u,v)
    | ~ c5_2(u,v)
    | c1_1(u)
    | c2_2(u,v)
    | c4_2(u,a617) ),
    inference(mrr,[status(thm)],[363,386]),
    [iquote('4:MRR:363.0,386.0')] ).

cnf(457,plain,
    ( ~ c5_1(u)
    | ~ c1_2(u,v)
    | ~ c2_2(u,a635)
    | c2_2(u,v) ),
    inference(spt,[],[424]),
    [iquote('13:Spt:424.0,424.1,424.2,424.4')] ).

cnf(455,plain,
    ( ~ skP2(u)
    | ~ c1_1(u)
    | ~ c4_2(u,a595)
    | c2_2(u,a603) ),
    inference(res,[status(thm),theory(equality)],[62,361]),
    [iquote('3:Res:62.1,361.1')] ).

cnf(449,plain,
    ( ~ skP2(u)
    | ~ c1_1(u)
    | ~ c1_2(u,a595)
    | c2_2(u,a603) ),
    inference(res,[status(thm),theory(equality)],[62,360]),
    [iquote('3:Res:62.1,360.1')] ).

cnf(454,plain,
    ( ~ c1_1(a611)
    | ~ c4_2(a611,a595)
    | c2_2(a611,a612) ),
    inference(res,[status(thm),theory(equality)],[410,361]),
    [iquote('5:Res:410.0,361.1')] ).

cnf(361,plain,
    ( ~ c1_1(u)
    | ~ c5_2(u,v)
    | ~ c4_2(u,a595)
    | c2_2(u,v) ),
    inference(mrr,[status(thm)],[210,358]),
    [iquote('3:MRR:210.0,358.0')] ).

cnf(453,plain,
    ( ~ skP0(a611)
    | c2_1(a611) ),
    inference(res,[status(thm),theory(equality)],[451,409]),
    [iquote('5:Res:451.1,409.0')] ).

cnf(451,plain,
    ( ~ skP0(u)
    | c1_1(u)
    | c2_1(u) ),
    inference(mrr,[status(thm)],[450,72]),
    [iquote('3:MRR:450.3,72.1')] ).

cnf(359,plain,
    ( ~ c2_2(u,v)
    | c1_1(u)
    | c2_1(u)
    | c3_2(u,v) ),
    inference(mrr,[status(thm)],[357,358]),
    [iquote('3:MRR:357.0,358.0')] ).

cnf(448,plain,
    ( ~ c1_1(a611)
    | ~ c1_2(a611,a595)
    | c2_2(a611,a612) ),
    inference(res,[status(thm),theory(equality)],[410,360]),
    [iquote('5:Res:410.0,360.1')] ).

cnf(360,plain,
    ( ~ c1_1(u)
    | ~ c5_2(u,v)
    | ~ c1_2(u,a595)
    | c2_2(u,v) ),
    inference(mrr,[status(thm)],[209,358]),
    [iquote('3:MRR:209.0,358.0')] ).

cnf(447,plain,
    ( ~ skP3(a593)
    | c5_2(a593,a621) ),
    inference(mrr,[status(thm)],[446,65]),
    [iquote('10:MRR:446.1,65.1')] ).

cnf(436,plain,
    ( ~ c1_2(a593,u)
    | ~ c4_2(a593,u)
    | c5_2(a593,u) ),
    inference(mrr,[status(thm)],[385,433]),
    [iquote('10:MRR:385.0,433.0')] ).

cnf(445,plain,
    ( ~ skP1(a611)
    | c5_2(a611,a602) ),
    inference(mrr,[status(thm)],[443,74]),
    [iquote('5:MRR:443.1,74.1')] ).

cnf(412,plain,
    ( ~ c3_2(a611,u)
    | c2_2(a611,u)
    | c5_2(a611,u) ),
    inference(mrr,[status(thm)],[398,403]),
    [iquote('5:MRR:398.0,403.0')] ).

cnf(172,plain,
    ( ~ skC2
    | ~ c3_2(u,a600)
    | c2_1(u)
    | skP0(u) ),
    inference(mrr,[status(thm)],[95,155]),
    [iquote('0:MRR:95.2,155.0')] ).

cnf(165,plain,
    ( ~ skC2
    | c2_1(u)
    | skP0(u)
    | c2_2(u,a600) ),
    inference(mrr,[status(thm)],[85,155]),
    [iquote('0:MRR:85.1,155.0')] ).

cnf(166,plain,
    ( ~ skC2
    | c2_1(u)
    | skP0(u)
    | c1_2(u,a600) ),
    inference(mrr,[status(thm)],[84,155]),
    [iquote('0:MRR:84.1,155.0')] ).

cnf(74,axiom,
    ( ~ skP1(u)
    | ~ c2_2(u,a602) ),
    file('SYN539+1.p',unknown),
    [] ).

cnf(76,axiom,
    ( ~ skP3(u)
    | ~ c2_2(u,a621) ),
    file('SYN539+1.p',unknown),
    [] ).

cnf(72,axiom,
    ( ~ skP0(u)
    | ~ c3_2(u,a599) ),
    file('SYN539+1.p',unknown),
    [] ).

cnf(73,axiom,
    ( ~ skP0(u)
    | ~ c5_2(u,a599) ),
    file('SYN539+1.p',unknown),
    [] ).

cnf(75,axiom,
    ( ~ skP2(u)
    | ~ c4_2(u,a603) ),
    file('SYN539+1.p',unknown),
    [] ).

cnf(60,axiom,
    ( ~ skP0(u)
    | c2_2(u,a599) ),
    file('SYN539+1.p',unknown),
    [] ).

cnf(64,axiom,
    ( ~ skP3(u)
    | c1_2(u,a621) ),
    file('SYN539+1.p',unknown),
    [] ).

cnf(63,axiom,
    ( ~ skP2(u)
    | c3_2(u,a603) ),
    file('SYN539+1.p',unknown),
    [] ).

cnf(61,axiom,
    ( ~ skP1(u)
    | c3_2(u,a602) ),
    file('SYN539+1.p',unknown),
    [] ).

cnf(62,axiom,
    ( ~ skP2(u)
    | c5_2(u,a603) ),
    file('SYN539+1.p',unknown),
    [] ).

cnf(65,axiom,
    ( ~ skP3(u)
    | c4_2(u,a621) ),
    file('SYN539+1.p',unknown),
    [] ).

cnf(46,axiom,
    ( ~ skC7
    | ~ c2_1(a634) ),
    file('SYN539+1.p',unknown),
    [] ).

cnf(411,plain,
    ~ c1_2(a611,a612),
    inference(mrr,[status(thm)],[389,403]),
    [iquote('5:MRR:389.0,403.0')] ).

cnf(442,plain,
    ~ c3_1(a593),
    inference(res,[status(thm),theory(equality)],[413,435]),
    [iquote('10:Res:413.1,435.0')] ).

cnf(435,plain,
    ~ c5_1(a593),
    inference(mrr,[status(thm)],[41,433]),
    [iquote('10:MRR:41.0,433.0')] ).

cnf(438,plain,
    skC5,
    inference(spt,[],[415]),
    [iquote('12:Spt:415.0')] ).

cnf(410,plain,
    c5_2(a611,a612),
    inference(mrr,[status(thm)],[388,403]),
    [iquote('5:MRR:388.0,403.0')] ).

cnf(409,plain,
    ~ c1_1(a611),
    inference(mrr,[status(thm)],[387,403]),
    [iquote('5:MRR:387.0,403.0')] ).

cnf(405,plain,
    ~ c3_1(a631),
    inference(mrr,[status(thm)],[35,403]),
    [iquote('5:MRR:35.0,403.0')] ).

cnf(434,plain,
    c2_1(a593),
    inference(mrr,[status(thm)],[24,433]),
    [iquote('10:MRR:24.0,433.0')] ).

cnf(423,plain,
    c4_1(a619),
    inference(mrr,[status(thm)],[158,419]),
    [iquote('7:MRR:158.0,419.0')] ).

cnf(422,plain,
    c1_1(a619),
    inference(mrr,[status(thm)],[157,419]),
    [iquote('7:MRR:157.0,419.0')] ).

cnf(421,plain,
    c5_1(a619),
    inference(mrr,[status(thm)],[156,419]),
    [iquote('7:MRR:156.0,419.0')] ).

cnf(419,plain,
    ~ c1_0,
    inference(mrr,[status(thm)],[406,414]),
    [iquote('7:MRR:406.1,414.0')] ).

cnf(437,plain,
    ~ skC0,
    inference(spt,[],[40]),
    [iquote('11:Spt:40.0')] ).

cnf(404,plain,
    c1_1(a631),
    inference(mrr,[status(thm)],[20,403]),
    [iquote('5:MRR:20.0,403.0')] ).

cnf(433,plain,
    skC1,
    inference(spt,[],[16]),
    [iquote('10:Spt:16.0')] ).

cnf(155,plain,
    ndr1_0,
    inference(mrr,[status(thm)],[8,2]),
    [iquote('0:MRR:8.0,2.1')] ).

cnf(429,plain,
    ~ skC3,
    inference(spt,[],[42]),
    [iquote('9:Spt:42.0')] ).

cnf(428,plain,
    ~ skC4,
    inference(spt,[],[45]),
    [iquote('8:Spt:45.0')] ).

cnf(1,axiom,
    c5_0,
    file('SYN539+1.p',unknown),
    [] ).

cnf(414,plain,
    c3_0,
    inference(spt,[],[37]),
    [iquote('7:Spt:37.1')] ).

cnf(413,plain,
    ( ~ c3_1(u)
    | c5_1(u) ),
    inference(spt,[],[177]),
    [iquote('6:Spt:177.0,177.3')] ).

cnf(403,plain,
    c4_0,
    inference(spt,[],[167]),
    [iquote('5:Spt:167.1')] ).

cnf(386,plain,
    c2_0,
    inference(spt,[],[185]),
    [iquote('4:Spt:185.3')] ).

cnf(358,plain,
    ndr1_1(u),
    inference(spt,[],[224]),
    [iquote('3:Spt:224.4')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14  % Problem  : SYN539+1 : TPTP v8.1.0. Released v2.1.0.
% 0.08/0.15  % Command  : run_spass %d %s
% 0.16/0.37  % Computer : n016.cluster.edu
% 0.16/0.37  % Model    : x86_64 x86_64
% 0.16/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37  % Memory   : 8042.1875MB
% 0.16/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37  % CPULimit : 300
% 0.16/0.37  % WCLimit  : 600
% 0.16/0.37  % DateTime : Tue Jul 12 09:17:14 EDT 2022
% 0.16/0.37  % CPUTime  : 
% 0.23/0.53  
% 0.23/0.53  SPASS V 3.9 
% 0.23/0.53  SPASS beiseite: Completion found.
% 0.23/0.53  % SZS status CounterSatisfiable
% 0.23/0.53  Problem: /export/starexec/sandbox/benchmark/theBenchmark.p 
% 0.23/0.53  SPASS derived 166 clauses, backtracked 0 clauses, performed 15 splits and kept 279 clauses.
% 0.23/0.53  SPASS allocated 98137 KBytes.
% 0.23/0.53  SPASS spent	0:00:00.15 on the problem.
% 0.23/0.53  		0:00:00.04 for the input.
% 0.23/0.53  		0:00:00.06 for the FLOTTER CNF translation.
% 0.23/0.53  		0:00:00.00 for inferences.
% 0.23/0.53  		0:00:00.00 for the backtracking.
% 0.23/0.53  		0:00:00.02 for the reduction.
% 0.23/0.53  
% 0.23/0.53  
% 0.23/0.53   The saturated set of worked-off clauses is :
% 0.23/0.53  % SZS output start Saturation
% See solution above
%------------------------------------------------------------------------------