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 : n018.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   : CounterSatisfiable 0.34s 0.53s
% Output   : Saturation 0.34s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named 430)

% Comments : 
%------------------------------------------------------------------------------
cnf(433,plain,
    ( ~ c4_1(u)
    | ~ c4_2(u,v)
    | ~ c5_2(u,v)
    | c5_1(u)
    | c1_1(u)
    | c3_2(u,a754)
    | c3_2(u,v)
    | c5_2(u,a752) ),
    inference(mrr,[status(thm)],[430,387,372,371]),
    [iquote('23:MRR:430.1,430.2,430.3,387.1,372.2,371.2')] ).

cnf(432,plain,
    ( ~ c4_1(u)
    | ~ c4_2(u,v)
    | ~ c5_2(u,v)
    | c5_1(u)
    | c1_1(u)
    | c3_2(u,a754)
    | c3_2(u,v)
    | c3_2(u,a752) ),
    inference(mrr,[status(thm)],[431,387,372,371]),
    [iquote('23:MRR:431.1,431.2,431.3,387.1,372.2,371.2')] ).

cnf(426,plain,
    ( ~ c4_1(u)
    | ~ c5_2(u,a754)
    | c5_1(u)
    | c1_1(u)
    | c3_2(u,a735) ),
    inference(mrr,[status(thm)],[425,387,375]),
    [iquote('23:MRR:425.1,425.5,387.1,375.1')] ).

cnf(424,plain,
    ( ~ c4_1(u)
    | c5_1(u)
    | c1_1(u)
    | c3_2(u,a735)
    | c3_2(u,a754) ),
    inference(mrr,[status(thm)],[423,387,375]),
    [iquote('23:MRR:423.1,423.4,387.1,375.1')] ).

cnf(356,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)],[328,342]),
    [iquote('11:MRR:328.3,342.0')] ).

cnf(355,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)],[327,342]),
    [iquote('11:MRR:327.2,342.0')] ).

cnf(421,plain,
    ( ~ skP0(u)
    | ~ c5_1(u)
    | ~ c5_2(u,a755)
    | ~ c1_2(u,a755)
    | c1_2(u,a746) ),
    inference(res,[status(thm),theory(equality)],[65,341]),
    [iquote('10:Res:65.1,341.1')] ).

cnf(341,plain,
    ( ~ c5_1(u)
    | ~ c3_2(u,v)
    | ~ c5_2(u,v)
    | ~ c1_2(u,v)
    | c1_2(u,a746) ),
    inference(ssi,[status(thm)],[340,333,300]),
    [iquote('10:SSi:340.1,333.1,300.1')] ).

cnf(417,plain,
    ( ~ skP0(u)
    | ~ c5_1(u)
    | ~ c5_2(u,a755)
    | ~ c1_2(u,a755)
    | c5_2(u,a746) ),
    inference(res,[status(thm),theory(equality)],[65,339]),
    [iquote('9:Res:65.1,339.1')] ).

cnf(418,plain,
    ( ~ c2_1(u)
    | ~ c2_2(u,v)
    | ~ c5_2(u,v)
    | c3_1(u)
    | c4_2(u,v) ),
    inference(spt,[],[349]),
    [iquote('25:Spt:349.0,349.1,349.2,349.3,349.5')] ).

cnf(339,plain,
    ( ~ c5_1(u)
    | ~ c3_2(u,v)
    | ~ c5_2(u,v)
    | ~ c1_2(u,v)
    | c5_2(u,a746) ),
    inference(ssi,[status(thm)],[338,333,300]),
    [iquote('9:SSi:338.1,333.1,300.1')] ).

cnf(382,plain,
    ( ~ ndr1_1(u)
    | ~ c4_2(u,v)
    | ~ c2_2(u,a758)
    | c1_1(u)
    | c1_2(u,v) ),
    inference(mrr,[status(thm)],[181,380]),
    [iquote('19:MRR:181.1,380.0')] ).

cnf(404,plain,
    ( ~ skP0(u)
    | c3_1(u)
    | c4_1(u)
    | c5_1(u)
    | c2_2(u,a755)
    | c5_2(u,a755) ),
    inference(obv,[status(thm),theory(equality)],[403]),
    [iquote('23:Obv:403.3')] ).

cnf(408,plain,
    ( ~ skC6
    | ~ c2_2(a736,a766)
    | c5_1(a736) ),
    inference(mrr,[status(thm)],[407,369]),
    [iquote('23:MRR:407.3,369.0')] ).

cnf(381,plain,
    ( ~ ndr1_1(u)
    | ~ c4_2(u,v)
    | c1_1(u)
    | c1_2(u,v)
    | c5_2(u,a758) ),
    inference(mrr,[status(thm)],[177,380]),
    [iquote('19:MRR:177.1,380.0')] ).

cnf(391,plain,
    ( ~ skC6
    | ~ c5_2(u,v)
    | ~ c2_2(u,a766)
    | c5_1(u)
    | c3_2(u,v) ),
    inference(mrr,[status(thm)],[180,387]),
    [iquote('23:MRR:180.0,387.1')] ).

cnf(406,plain,
    ( ~ skC6
    | ~ c1_2(a736,a766)
    | c5_1(a736) ),
    inference(mrr,[status(thm)],[405,369]),
    [iquote('23:MRR:405.3,369.0')] ).

cnf(390,plain,
    ( ~ skC6
    | ~ c5_2(u,v)
    | ~ c1_2(u,a766)
    | c5_1(u)
    | c3_2(u,v) ),
    inference(mrr,[status(thm)],[179,387]),
    [iquote('23:MRR:179.0,387.1')] ).

cnf(402,plain,
    ( ~ skP0(u)
    | c3_1(u)
    | c4_1(u)
    | c1_2(u,a755)
    | c2_2(u,a755) ),
    inference(res,[status(thm),theory(equality)],[65,364]),
    [iquote('12:Res:65.1,364.0')] ).

cnf(364,plain,
    ( ~ c3_2(u,v)
    | c3_1(u)
    | c4_1(u)
    | c1_2(u,v)
    | c2_2(u,v) ),
    inference(mrr,[status(thm)],[329,357]),
    [iquote('12:MRR:329.0,357.0')] ).

cnf(401,plain,
    ( ~ skC6
    | c5_1(a736)
    | c3_2(a736,a766) ),
    inference(mrr,[status(thm)],[400,369]),
    [iquote('23:MRR:400.2,369.0')] ).

cnf(389,plain,
    ( ~ skC6
    | ~ c5_2(u,v)
    | c5_1(u)
    | c3_2(u,v)
    | c3_2(u,a766) ),
    inference(mrr,[status(thm)],[176,387]),
    [iquote('23:MRR:176.0,387.1')] ).

cnf(388,plain,
    ( ~ c1_2(u,v)
    | c5_1(u)
    | c2_2(u,v)
    | c5_2(u,v) ),
    inference(mrr,[status(thm)],[318,387]),
    [iquote('23:MRR:318.0,387.1')] ).

cnf(392,plain,
    ( ~ c4_1(u)
    | c5_1(u)
    | c2_2(u,a735) ),
    inference(mrr,[status(thm)],[376,387]),
    [iquote('23:MRR:376.1,387.1')] ).

cnf(395,plain,
    ( ~ c1_1(u)
    | c3_1(u)
    | c4_1(u) ),
    inference(spt,[],[321]),
    [iquote('24:Spt:321.0,321.1,321.2')] ).

cnf(77,axiom,
    ( ~ skP0(u)
    | ~ c4_2(u,a755) ),
    file('SYN541+1.p',unknown),
    [] ).

cnf(65,axiom,
    ( ~ skP0(u)
    | c3_2(u,a755) ),
    file('SYN541+1.p',unknown),
    [] ).

cnf(50,axiom,
    ( ~ skP0(u)
    | ndr1_1(u) ),
    file('SYN541+1.p',unknown),
    [] ).

cnf(387,plain,
    ( c5_1(u)
    | ndr1_1(u) ),
    inference(mrr,[status(thm)],[313,386]),
    [iquote('23:MRR:313.0,386.0')] ).

cnf(370,plain,
    ~ c4_2(a736,a737),
    inference(mrr,[status(thm)],[348,357]),
    [iquote('12:MRR:348.0,357.0')] ).

cnf(369,plain,
    ~ c3_2(a736,a737),
    inference(mrr,[status(thm)],[347,357]),
    [iquote('12:MRR:347.0,357.0')] ).

cnf(368,plain,
    c5_2(a736,a737),
    inference(mrr,[status(thm)],[346,357]),
    [iquote('12:MRR:346.0,357.0')] ).

cnf(367,plain,
    ~ c3_1(a736),
    inference(mrr,[status(thm)],[345,357]),
    [iquote('12:MRR:345.0,357.0')] ).

cnf(366,plain,
    ndr1_1(a736),
    inference(mrr,[status(thm)],[344,357]),
    [iquote('12:MRR:344.0,357.0')] ).

cnf(365,plain,
    c4_1(a736),
    inference(mrr,[status(thm)],[343,357]),
    [iquote('12:MRR:343.0,357.0')] ).

cnf(320,plain,
    ~ c5_0,
    inference(mrr,[status(thm)],[6,319]),
    [iquote('5:MRR:6.1,319.0')] ).

cnf(386,plain,
    ~ skC1,
    inference(spt,[],[18]),
    [iquote('23:Spt:18.0')] ).

cnf(385,plain,
    ~ skC4,
    inference(spt,[],[23]),
    [iquote('22:Spt:23.0')] ).

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

cnf(384,plain,
    ~ skC2,
    inference(spt,[],[20]),
    [iquote('21:Spt:20.0')] ).

cnf(383,plain,
    ~ skC3,
    inference(spt,[],[21]),
    [iquote('20:Spt:21.0')] ).

cnf(380,plain,
    skC5,
    inference(spt,[],[7]),
    [iquote('19:Spt:7.0')] ).

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

cnf(379,plain,
    ~ skC7,
    inference(spt,[],[25]),
    [iquote('18:Spt:25.0')] ).

cnf(378,plain,
    ~ skC0,
    inference(spt,[],[17]),
    [iquote('17:Spt:17.0')] ).

cnf(377,plain,
    ~ c3_0,
    inference(spt,[],[98]),
    [iquote('16:Spt:98.0')] ).

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

cnf(375,plain,
    ( ~ c4_1(u)
    | ~ c5_2(u,a735)
    | c5_1(u) ),
    inference(spt,[],[158]),
    [iquote('15:Spt:158.0,158.1,158.3')] ).

cnf(372,plain,
    ( ~ c4_1(u)
    | c5_1(u)
    | c1_2(u,a735) ),
    inference(spt,[],[151]),
    [iquote('14:Spt:151.0,151.2,151.3')] ).

cnf(371,plain,
    ( ~ c4_1(u)
    | c5_1(u)
    | c4_2(u,a735) ),
    inference(spt,[],[150]),
    [iquote('13:Spt:150.0,150.2,150.3')] ).

cnf(357,plain,
    c1_0,
    inference(spt,[],[37]),
    [iquote('12:Spt:37.1')] ).

cnf(342,plain,
    ~ c2_0,
    inference(spt,[],[5]),
    [iquote('11:Spt:5.0')] ).

cnf(333,plain,
    ( ~ c5_1(u)
    | c2_1(u) ),
    inference(spt,[],[152]),
    [iquote('8:Spt:152.0,152.3')] ).

cnf(332,plain,
    ( ~ ndr1_1(u)
    | ~ c3_2(u,v)
    | ~ c1_2(u,v)
    | ~ c4_2(u,v)
    | ~ c4_2(u,w)
    | ~ c5_2(u,w)
    | c3_2(u,w)
    | c5_2(u,a752) ),
    inference(spt,[],[207]),
    [iquote('7:Spt:207.0,207.1,207.2,207.3,207.4,207.5,207.8,207.9')] ).

cnf(331,plain,
    ( ~ ndr1_1(u)
    | ~ c3_2(u,v)
    | ~ c1_2(u,v)
    | ~ c4_2(u,v)
    | ~ c4_2(u,w)
    | ~ c5_2(u,w)
    | c3_2(u,w)
    | c3_2(u,a752) ),
    inference(spt,[],[208]),
    [iquote('6:Spt:208.0,208.1,208.2,208.3,208.4,208.5,208.8,208.9')] ).

cnf(319,plain,
    ~ c4_0,
    inference(spt,[],[4]),
    [iquote('5:Spt:4.0')] ).

cnf(317,plain,
    ( ~ ndr1_1(u)
    | ~ c2_2(u,v)
    | c2_1(u)
    | c1_2(u,v)
    | c4_2(u,v) ),
    inference(spt,[],[183]),
    [iquote('3:Spt:183.0,183.2,183.4,183.5,183.6')] ).

cnf(312,plain,
    ( c4_1(u)
    | ndr1_1(u) ),
    inference(spt,[],[149]),
    [iquote('2:Spt:149.2,149.3')] ).

cnf(300,plain,
    ( ~ c2_1(u)
    | ndr1_1(u) ),
    inference(spt,[],[185]),
    [iquote('1:Spt:185.0,185.4')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.15  % Problem  : SYN541+1 : TPTP v8.1.0. Released v2.1.0.
% 0.03/0.16  % Command  : run_spass %d %s
% 0.14/0.37  % Computer : n018.cluster.edu
% 0.14/0.37  % Model    : x86_64 x86_64
% 0.14/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.37  % Memory   : 8042.1875MB
% 0.14/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.37  % CPULimit : 300
% 0.14/0.37  % WCLimit  : 600
% 0.14/0.37  % DateTime : Mon Jul 11 14:43:44 EDT 2022
% 0.14/0.37  % CPUTime  : 
% 0.34/0.53  
% 0.34/0.53  SPASS V 3.9 
% 0.34/0.53  SPASS beiseite: Completion found.
% 0.34/0.53  % SZS status CounterSatisfiable
% 0.34/0.53  Problem: /export/starexec/sandbox/benchmark/theBenchmark.p 
% 0.34/0.53  SPASS derived 121 clauses, backtracked 0 clauses, performed 25 splits and kept 248 clauses.
% 0.34/0.53  SPASS allocated 98168 KBytes.
% 0.34/0.53  SPASS spent	0:00:00.15 on the problem.
% 0.34/0.53  		0:00:00.04 for the input.
% 0.34/0.53  		0:00:00.07 for the FLOTTER CNF translation.
% 0.34/0.53  		0:00:00.00 for inferences.
% 0.34/0.53  		0:00:00.00 for the backtracking.
% 0.34/0.53  		0:00:00.02 for the reduction.
% 0.34/0.53  
% 0.34/0.53  
% 0.34/0.53   The saturated set of worked-off clauses is :
% 0.34/0.53  % SZS output start Saturation
% See solution above
%------------------------------------------------------------------------------