TSTP Solution File: SYN541-1 by SPASS---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : SYN541-1 : TPTP v8.1.0. Released v2.1.0.
% Transfm  : none
% Format   : tptp
% Command  : run_spass %d %s

% Computer : n011.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 12:22:43 EDT 2022

% Result   : Satisfiable 0.18s 0.45s
% Output   : Saturation 0.18s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named 449)

% Comments : 
%------------------------------------------------------------------------------
cnf(451,plain,
    ( ~ c5_1(a726)
    | ~ c4_2(a726,u)
    | c1_2(a726,u)
    | c5_2(a726,a728) ),
    inference(sor,[status(thm)],[450,333]),
    [iquote('19:SoR:450.0,333.1')] ).

cnf(450,plain,
    ( ~ c2_1(a726)
    | ~ c4_2(a726,u)
    | c1_2(a726,u)
    | c5_2(a726,a728) ),
    inference(mrr,[status(thm)],[449,383]),
    [iquote('19:MRR:449.4,383.0')] ).

cnf(374,plain,
    ( ~ c2_1(u)
    | ~ c2_2(u,v)
    | ~ c4_2(u,w)
    | c1_2(u,w)
    | c5_2(u,v)
    | c4_2(u,v) ),
    inference(mrr,[status(thm)],[306,362]),
    [iquote('17:MRR:306.3,362.0')] ).

cnf(446,plain,
    ( ~ c4_1(u)
    | ~ c5_2(u,a754)
    | c5_1(u)
    | c1_1(u)
    | c3_2(u,a735) ),
    inference(mrr,[status(thm)],[444,396,376]),
    [iquote('25:MRR:444.1,444.5,396.1,376.1')] ).

cnf(361,plain,
    ( ~ ndr1_1(u)
    | ~ c4_2(u,v)
    | ~ c5_2(u,a754)
    | c1_1(u)
    | c5_2(u,v)
    | c3_2(u,v) ),
    inference(mrr,[status(thm)],[330,347]),
    [iquote('16:MRR:330.3,347.0')] ).

cnf(443,plain,
    ( ~ c4_1(u)
    | c5_1(u)
    | c1_1(u)
    | c3_2(u,a735)
    | c3_2(u,a754) ),
    inference(mrr,[status(thm)],[441,396,376]),
    [iquote('25:MRR:441.1,441.4,396.1,376.1')] ).

cnf(360,plain,
    ( ~ ndr1_1(u)
    | ~ c4_2(u,v)
    | c1_1(u)
    | c5_2(u,v)
    | c3_2(u,v)
    | c3_2(u,a754) ),
    inference(mrr,[status(thm)],[329,347]),
    [iquote('16:MRR:329.2,347.0')] ).

cnf(344,plain,
    ( ~ c5_1(u)
    | ~ c1_2(u,v)
    | ~ c3_2(u,v)
    | ~ c5_2(u,v)
    | c1_2(u,a746) ),
    inference(ssi,[status(thm)],[343,333,300]),
    [iquote('13:SSi:343.1,333.1,300.1')] ).

cnf(438,plain,
    ( ~ c5_2(a726,a728)
    | c3_1(a726) ),
    inference(mrr,[status(thm)],[437,425,383]),
    [iquote('30:MRR:437.0,437.3,425.1,383.0')] ).

cnf(434,plain,
    ( ~ c2_1(u)
    | ~ c2_2(u,v)
    | ~ c5_2(u,v)
    | c3_1(u)
    | c4_2(u,v) ),
    inference(spt,[],[354]),
    [iquote('30:Spt:354.0,354.1,354.2,354.3,354.5')] ).

cnf(342,plain,
    ( ~ c5_1(u)
    | ~ c1_2(u,v)
    | ~ c3_2(u,v)
    | ~ c5_2(u,v)
    | c5_2(u,a746) ),
    inference(ssi,[status(thm)],[341,333,300]),
    [iquote('12:SSi:341.1,333.1,300.1')] ).

cnf(429,plain,
    ( ~ c5_1(a726)
    | ~ c1_2(a726,a728) ),
    inference(res,[status(thm),theory(equality)],[381,426]),
    [iquote('29:Res:381.0,426.1')] ).

cnf(428,plain,
    ( ~ c5_1(a726)
    | ~ c1_2(a726,a727) ),
    inference(res,[status(thm),theory(equality)],[380,426]),
    [iquote('29:Res:380.0,426.1')] ).

cnf(425,plain,
    ( ~ c5_2(a726,a728)
    | c2_1(a726) ),
    inference(mrr,[status(thm)],[424,381]),
    [iquote('27:MRR:424.1,381.0')] ).

cnf(426,plain,
    ( ~ c5_1(u)
    | ~ c2_2(u,v)
    | ~ c1_2(u,v) ),
    inference(spt,[],[334]),
    [iquote('29:Spt:334.1,334.3,334.4')] ).

cnf(375,plain,
    ( ~ ndr1_1(u)
    | ~ c1_2(u,v)
    | ~ c5_2(u,v)
    | ~ c2_2(u,v) ),
    inference(mrr,[status(thm)],[332,362]),
    [iquote('17:MRR:332.4,362.0')] ).

cnf(400,plain,
    ( ~ c5_2(u,v)
    | ~ c1_2(u,a766)
    | c5_1(u)
    | c3_2(u,v) ),
    inference(mrr,[status(thm)],[340,396]),
    [iquote('25:MRR:340.0,396.1')] ).

cnf(399,plain,
    ( ~ c5_2(u,v)
    | ~ c2_2(u,a766)
    | c5_1(u)
    | c3_2(u,v) ),
    inference(mrr,[status(thm)],[339,396]),
    [iquote('25:MRR:339.0,396.1')] ).

cnf(420,plain,
    ( ~ c4_1(u)
    | c5_1(u)
    | c2_2(u,a735) ),
    inference(mrr,[status(thm)],[419,376]),
    [iquote('25:MRR:419.3,376.1')] ).

cnf(373,plain,
    ( ~ ndr1_1(a771)
    | ~ c5_2(a771,u)
    | ~ c2_2(a771,u)
    | c3_2(a771,u) ),
    inference(mrr,[status(thm)],[173,362]),
    [iquote('17:MRR:173.3,362.0')] ).

cnf(397,plain,
    ( ~ c1_2(u,v)
    | c5_1(u)
    | c2_2(u,v)
    | c5_2(u,v) ),
    inference(mrr,[status(thm)],[318,396]),
    [iquote('25:MRR:318.0,396.1')] ).

cnf(398,plain,
    ( ~ c5_2(u,v)
    | c5_1(u)
    | c3_2(u,v)
    | c3_2(u,a766) ),
    inference(mrr,[status(thm)],[338,396]),
    [iquote('25:MRR:338.0,396.1')] ).

cnf(388,plain,
    ( ~ ndr1_1(a774)
    | ~ c4_2(a774,u)
    | c1_2(a774,u) ),
    inference(mrr,[status(thm)],[372,385]),
    [iquote('20:MRR:372.0,385.0')] ).

cnf(387,plain,
    ( ~ ndr1_1(a774)
    | ~ c1_2(a774,u)
    | c2_2(a774,u) ),
    inference(mrr,[status(thm)],[371,385]),
    [iquote('20:MRR:371.0,385.0')] ).

cnf(413,plain,
    ( ~ c1_1(u)
    | c3_1(u)
    | c4_1(u) ),
    inference(spt,[],[323]),
    [iquote('28:Spt:323.0,323.1,323.2')] ).

cnf(412,plain,
    c1_1(a726),
    inference(spt,[],[404]),
    [iquote('27:Spt:404.1')] ).

cnf(395,plain,
    ( ~ c4_1(u)
    | c5_1(u)
    | c1_2(u,a735) ),
    inference(mrr,[status(thm)],[156,393]),
    [iquote('25:MRR:156.1,393.0')] ).

cnf(394,plain,
    ( ~ c4_1(u)
    | c5_1(u)
    | c4_2(u,a735) ),
    inference(mrr,[status(thm)],[155,393]),
    [iquote('25:MRR:155.1,393.0')] ).

cnf(384,plain,
    ( ~ c5_2(a726,u)
    | c3_2(a726,u) ),
    inference(mrr,[status(thm)],[148,377]),
    [iquote('19:MRR:148.1,377.0')] ).

cnf(54,axiom,
    ( ~ c4_2(u,a755)
    | ssskP0(u) ),
    file('SYN541-1.p',unknown),
    [] ).

cnf(29,axiom,
    ( ssskP0(u)
    | c3_2(u,a755) ),
    file('SYN541-1.p',unknown),
    [] ).

cnf(408,plain,
    ( c2_1(a726)
    | c1_2(a726,a728) ),
    inference(mrr,[status(thm)],[407,383]),
    [iquote('19:MRR:407.2,383.0')] ).

cnf(396,plain,
    ( c5_1(u)
    | ndr1_1(u) ),
    inference(mrr,[status(thm)],[313,393]),
    [iquote('25:MRR:313.0,393.0')] ).

cnf(12,axiom,
    ( ssskP0(u)
    | ndr1_1(u) ),
    file('SYN541-1.p',unknown),
    [] ).

cnf(383,plain,
    ~ c4_2(a726,a728),
    inference(mrr,[status(thm)],[59,377]),
    [iquote('19:MRR:59.1,377.0')] ).

cnf(382,plain,
    ~ c5_2(a726,a727),
    inference(mrr,[status(thm)],[60,377]),
    [iquote('19:MRR:60.1,377.0')] ).

cnf(409,plain,
    ~ ssskC6,
    inference(spt,[],[364]),
    [iquote('26:Spt:364.0')] ).

cnf(381,plain,
    c2_2(a726,a728),
    inference(mrr,[status(thm)],[38,377]),
    [iquote('19:MRR:38.0,377.0')] ).

cnf(380,plain,
    c2_2(a726,a727),
    inference(mrr,[status(thm)],[39,377]),
    [iquote('19:MRR:39.0,377.0')] ).

cnf(379,plain,
    c4_2(a726,a727),
    inference(mrr,[status(thm)],[40,377]),
    [iquote('19:MRR:40.0,377.0')] ).

cnf(386,plain,
    c3_1(a774),
    inference(mrr,[status(thm)],[366,385]),
    [iquote('20:MRR:366.0,385.0')] ).

cnf(378,plain,
    ndr1_1(a726),
    inference(mrr,[status(thm)],[19,377]),
    [iquote('19:MRR:19.0,377.0')] ).

cnf(363,plain,
    c4_1(a771),
    inference(mrr,[status(thm)],[146,362]),
    [iquote('17:MRR:146.0,362.0')] ).

cnf(322,plain,
    ~ c5_0,
    inference(mrr,[status(thm)],[8,321]),
    [iquote('7:MRR:8.1,321.0')] ).

cnf(393,plain,
    ssskC1,
    inference(spt,[],[18]),
    [iquote('25:Spt:18.0')] ).

cnf(392,plain,
    ~ ssskC5,
    inference(spt,[],[5]),
    [iquote('24:Spt:5.0')] ).

cnf(2,axiom,
    c2_1(a731),
    file('SYN541-1.p',unknown),
    [] ).

cnf(391,plain,
    ssskC4,
    inference(spt,[],[13]),
    [iquote('23:Spt:13.0')] ).

cnf(390,plain,
    ssskC3,
    inference(spt,[],[15]),
    [iquote('22:Spt:15.0')] ).

cnf(389,plain,
    ssskC2,
    inference(spt,[],[17]),
    [iquote('21:Spt:17.0')] ).

cnf(3,axiom,
    c4_1(a731),
    file('SYN541-1.p',unknown),
    [] ).

cnf(385,plain,
    ssskC7,
    inference(spt,[],[11]),
    [iquote('20:Spt:11.0')] ).

cnf(377,plain,
    ~ ssskC0,
    inference(spt,[],[51]),
    [iquote('19:Spt:51.1')] ).

cnf(376,plain,
    ( ~ c4_1(u)
    | ~ c5_2(u,a735)
    | c5_1(u) ),
    inference(spt,[],[161]),
    [iquote('18:Spt:161.0,161.2,161.3')] ).

cnf(1,axiom,
    ndr1_0,
    file('SYN541-1.p',unknown),
    [] ).

cnf(362,plain,
    ~ c1_0,
    inference(spt,[],[61]),
    [iquote('17:Spt:61.1')] ).

cnf(347,plain,
    ~ c2_0,
    inference(spt,[],[7]),
    [iquote('16:Spt:7.0')] ).

cnf(346,plain,
    ( ~ ndr1_1(u)
    | ~ c4_2(u,v)
    | ~ c2_2(u,a758)
    | c1_1(u)
    | c1_2(u,v) ),
    inference(spt,[],[178]),
    [iquote('15:Spt:178.0,178.1,178.2,178.4,178.5')] ).

cnf(345,plain,
    ( ~ ndr1_1(u)
    | ~ c4_2(u,v)
    | c1_1(u)
    | c1_2(u,v)
    | c5_2(u,a758) ),
    inference(spt,[],[176]),
    [iquote('14:Spt:176.0,176.1,176.3,176.4,176.5')] ).

cnf(333,plain,
    ( ~ c5_1(u)
    | c2_1(u) ),
    inference(spt,[],[149]),
    [iquote('8:Spt:149.0,149.3')] ).

cnf(321,plain,
    ~ c4_0,
    inference(spt,[],[6]),
    [iquote('7:Spt:6.0')] ).

cnf(320,plain,
    ( ~ ndr1_1(u)
    | ~ c5_2(u,v)
    | ~ c4_2(u,v)
    | ~ c3_2(u,w)
    | ~ c1_2(u,w)
    | ~ c4_2(u,w)
    | c3_2(u,v)
    | c5_2(u,a752) ),
    inference(spt,[],[208]),
    [iquote('6:Spt:208.0,208.2,208.3,208.4,208.5,208.6,208.8,208.9')] ).

cnf(319,plain,
    ( ~ ndr1_1(u)
    | ~ c5_2(u,v)
    | ~ c4_2(u,v)
    | ~ c3_2(u,w)
    | ~ c1_2(u,w)
    | ~ c4_2(u,w)
    | c3_2(u,v)
    | c3_2(u,a752) ),
    inference(spt,[],[207]),
    [iquote('5:Spt:207.0,207.2,207.3,207.4,207.5,207.6,207.8,207.9')] ).

cnf(317,plain,
    ( ~ ndr1_1(u)
    | ~ c2_2(u,v)
    | c2_1(u)
    | c1_2(u,v)
    | c4_2(u,v) ),
    inference(spt,[],[182]),
    [iquote('3:Spt:182.0,182.2,182.4,182.5,182.6')] ).

cnf(312,plain,
    ( c4_1(u)
    | ndr1_1(u) ),
    inference(spt,[],[157]),
    [iquote('2:Spt:157.2,157.3')] ).

cnf(300,plain,
    ( ~ c2_1(u)
    | ndr1_1(u) ),
    inference(spt,[],[184]),
    [iquote('1:Spt:184.0,184.3')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11  % Problem  : SYN541-1 : TPTP v8.1.0. Released v2.1.0.
% 0.07/0.12  % Command  : run_spass %d %s
% 0.12/0.33  % Computer : n011.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 16:39:27 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.45  
% 0.18/0.45  SPASS V 3.9 
% 0.18/0.45  SPASS beiseite: Completion found.
% 0.18/0.45  % SZS status CounterSatisfiable
% 0.18/0.45  Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p 
% 0.18/0.45  SPASS derived 138 clauses, backtracked 0 clauses, performed 30 splits and kept 262 clauses.
% 0.18/0.45  SPASS allocated 75978 KBytes.
% 0.18/0.45  SPASS spent	0:00:00.11 on the problem.
% 0.18/0.45  		0:00:00.04 for the input.
% 0.18/0.45  		0:00:00.00 for the FLOTTER CNF translation.
% 0.18/0.45  		0:00:00.00 for inferences.
% 0.18/0.45  		0:00:00.00 for the backtracking.
% 0.18/0.45  		0:00:00.03 for the reduction.
% 0.18/0.45  
% 0.18/0.45  
% 0.18/0.45   The saturated set of worked-off clauses is :
% 0.18/0.45  % SZS output start Saturation
% See solution above
%------------------------------------------------------------------------------