TSTP Solution File: SYN522+1 by SPASS---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : SYN522+1 : TPTP v8.1.0. Released v2.1.0.
% Transfm  : none
% Format   : tptp
% Command  : run_spass %d %s

% Computer : n003.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 12:22:29 EDT 2022

% Result   : CounterSatisfiable 0.17s 0.45s
% Output   : Saturation 0.17s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named 243)

% Comments : 
%------------------------------------------------------------------------------
cnf(323,plain,
    ( ~ c4_1(u)
    | ~ c3_1(u)
    | ~ skP4(u)
    | ~ skC0
    | ~ c3_2(u,a105)
    | skP0(u)
    | c3_2(u,a131)
    | c2_2(u,a131) ),
    inference(res,[status(thm),theory(equality)],[273,206]),
    [iquote('16:Res:273.3,206.1')] ).

cnf(339,plain,
    ( ~ c4_1(u)
    | ~ c3_1(u)
    | ~ skP4(u)
    | ~ skC0
    | c5_2(u,a105)
    | skP0(u)
    | c3_2(u,a131)
    | c2_2(u,a131) ),
    inference(obv,[status(thm),theory(equality)],[338]),
    [iquote('16:Obv:338.1')] ).

cnf(314,plain,
    ( ~ c4_1(u)
    | ~ c3_1(u)
    | ~ skP4(u)
    | ~ skC0
    | ~ c4_2(u,a105)
    | skP0(u)
    | c3_2(u,a131)
    | c2_2(u,a131) ),
    inference(res,[status(thm),theory(equality)],[273,205]),
    [iquote('16:Res:273.3,205.1')] ).

cnf(303,plain,
    ( ~ c4_1(u)
    | ~ c3_1(u)
    | ~ skP4(u)
    | ~ skC0
    | skP0(u)
    | c3_2(u,a131)
    | c2_2(u,a131)
    | c2_2(u,a105) ),
    inference(res,[status(thm),theory(equality)],[273,204]),
    [iquote('16:Res:273.3,204.1')] ).

cnf(319,plain,
    ( ~ c4_1(u)
    | ~ c3_1(u)
    | ~ skP3(u)
    | ~ skC0
    | c5_2(u,a105)
    | c5_1(u)
    | c5_2(u,a138)
    | skP0(u) ),
    inference(res,[status(thm),theory(equality)],[271,316]),
    [iquote('16:Res:271.3,316.2')] ).

cnf(318,plain,
    ( ~ c4_1(u)
    | ~ c3_1(u)
    | ~ skP2(u)
    | ~ skC0
    | c5_2(u,a105)
    | skP0(u)
    | c3_2(u,a116) ),
    inference(res,[status(thm),theory(equality)],[271,315]),
    [iquote('16:Res:271.3,315.2')] ).

cnf(328,plain,
    ( ~ skP1(u)
    | ~ c3_1(u)
    | ~ c5_1(u)
    | ~ c3_2(u,a115)
    | ~ c1_2(u,a115) ),
    inference(res,[status(thm),theory(equality)],[60,326]),
    [iquote('18:Res:60.1,326.2')] ).

cnf(325,plain,
    ( ~ skP3(u)
    | ~ skC0
    | ~ c3_2(u,a105)
    | c5_1(u)
    | c5_2(u,a138)
    | skP0(u) ),
    inference(mrr,[status(thm)],[322,69,70]),
    [iquote('8:MRR:322.6,322.7,69.1,70.1')] ).

cnf(324,plain,
    ( ~ skP2(u)
    | ~ skC0
    | ~ c3_2(u,a105)
    | skP0(u)
    | c3_2(u,a116) ),
    inference(mrr,[status(thm)],[320,68]),
    [iquote('3:MRR:320.5,68.1')] ).

cnf(331,plain,
    ( ~ skP2(u)
    | ~ c3_1(u)
    | ~ c5_1(u)
    | ~ c3_2(u,a116) ),
    inference(mrr,[status(thm)],[327,62]),
    [iquote('18:MRR:327.4,62.1')] ).

cnf(326,plain,
    ( ~ c3_1(u)
    | ~ c5_1(u)
    | ~ c5_2(u,v)
    | ~ c3_2(u,v)
    | ~ c1_2(u,v) ),
    inference(spt,[],[254]),
    [iquote('18:Spt:254.0,254.1,254.3,254.4,254.5')] ).

cnf(206,plain,
    ( ~ skC0
    | ~ c5_2(u,v)
    | ~ c3_2(u,a105)
    | skP0(u)
    | c3_2(u,v)
    | c2_2(u,v) ),
    inference(mrr,[status(thm)],[134,199]),
    [iquote('3:MRR:134.0,199.0')] ).

cnf(316,plain,
    ( ~ skP3(u)
    | ~ skC0
    | ~ c4_2(u,a105)
    | c5_1(u)
    | c5_2(u,a138)
    | skP0(u) ),
    inference(mrr,[status(thm)],[313,69,70]),
    [iquote('8:MRR:313.6,313.7,69.1,70.1')] ).

cnf(315,plain,
    ( ~ skP2(u)
    | ~ skC0
    | ~ c4_2(u,a105)
    | skP0(u)
    | c3_2(u,a116) ),
    inference(mrr,[status(thm)],[311,68]),
    [iquote('3:MRR:311.5,68.1')] ).

cnf(310,plain,
    ( ~ skP1(u)
    | ~ c4_1(u)
    | ~ c3_2(u,a111)
    | c1_2(u,a115) ),
    inference(mrr,[status(thm)],[309,67]),
    [iquote('11:MRR:309.3,67.1')] ).

cnf(205,plain,
    ( ~ skC0
    | ~ c5_2(u,v)
    | ~ c4_2(u,a105)
    | skP0(u)
    | c3_2(u,v)
    | c2_2(u,v) ),
    inference(mrr,[status(thm)],[135,199]),
    [iquote('3:MRR:135.0,199.0')] ).

cnf(260,plain,
    ( ~ c4_1(u)
    | ~ c2_2(u,v)
    | ~ c3_2(u,a111)
    | c4_2(u,v)
    | c1_2(u,v) ),
    inference(mrr,[status(thm)],[209,257]),
    [iquote('11:MRR:209.1,257.0')] ).

cnf(306,plain,
    ( ~ skP3(u)
    | ~ skC0
    | c5_1(u)
    | c5_2(u,a138)
    | skP0(u)
    | c2_2(u,a105) ),
    inference(mrr,[status(thm)],[302,69,70]),
    [iquote('8:MRR:302.5,302.6,69.1,70.1')] ).

cnf(304,plain,
    ( ~ skP2(u)
    | ~ skC0
    | skP0(u)
    | c3_2(u,a116)
    | c2_2(u,a105) ),
    inference(mrr,[status(thm)],[300,68]),
    [iquote('3:MRR:300.4,68.1')] ).

cnf(307,plain,
    c5_1(a125),
    inference(spt,[],[305]),
    [iquote('17:Spt:305.1')] ).

cnf(204,plain,
    ( ~ skC0
    | ~ c5_2(u,v)
    | skP0(u)
    | c3_2(u,v)
    | c2_2(u,v)
    | c2_2(u,a105) ),
    inference(mrr,[status(thm)],[131,199]),
    [iquote('3:MRR:131.0,199.0')] ).

cnf(297,plain,
    ( ~ skP1(a121)
    | ~ c4_1(a121)
    | c2_2(a121,a111)
    | c3_2(a121,a115) ),
    inference(mrr,[status(thm)],[296,60]),
    [iquote('11:MRR:296.2,60.1')] ).

cnf(293,plain,
    ( ~ skP1(u)
    | ~ c4_1(u)
    | c1_2(u,a115)
    | c2_2(u,a111) ),
    inference(mrr,[status(thm)],[292,67]),
    [iquote('11:MRR:292.2,67.1')] ).

cnf(295,plain,
    ( ~ skP1(a121)
    | ~ c4_1(a121)
    | c5_2(a121,a111)
    | c3_2(a121,a115) ),
    inference(mrr,[status(thm)],[294,60]),
    [iquote('11:MRR:294.2,60.1')] ).

cnf(290,plain,
    ( ~ skP1(u)
    | ~ c4_1(u)
    | c1_2(u,a115)
    | c5_2(u,a111) ),
    inference(mrr,[status(thm)],[289,67]),
    [iquote('11:MRR:289.2,67.1')] ).

cnf(259,plain,
    ( ~ c4_1(u)
    | ~ c2_2(u,v)
    | c4_2(u,v)
    | c1_2(u,v)
    | c2_2(u,a111) ),
    inference(mrr,[status(thm)],[208,257]),
    [iquote('11:MRR:208.1,257.0')] ).

cnf(258,plain,
    ( ~ c4_1(u)
    | ~ c2_2(u,v)
    | c4_2(u,v)
    | c1_2(u,v)
    | c5_2(u,a111) ),
    inference(mrr,[status(thm)],[207,257]),
    [iquote('11:MRR:207.1,257.0')] ).

cnf(287,plain,
    ( ~ c5_1(a121)
    | ~ c4_1(a121)
    | ~ c5_2(a121,u)
    | c2_2(a121,u)
    | c3_2(a121,u) ),
    inference(obv,[status(thm),theory(equality)],[286]),
    [iquote('6:Obv:286.3')] ).

cnf(284,plain,
    ( ~ c5_1(u)
    | ~ c4_1(u)
    | ~ skP4(u)
    | c3_2(u,a131)
    | c2_2(u,a131) ),
    inference(res,[status(thm),theory(equality)],[200,72]),
    [iquote('3:Res:200.4,72.1')] ).

cnf(200,plain,
    ( ~ c5_1(u)
    | ~ c4_1(u)
    | c3_2(u,v)
    | c2_2(u,v)
    | c1_2(u,v) ),
    inference(mrr,[status(thm)],[198,199]),
    [iquote('3:MRR:198.2,199.0')] ).

cnf(251,plain,
    ( ~ c4_2(u,a138)
    | c5_1(u)
    | c3_2(u,v)
    | c2_2(u,v)
    | c5_2(u,v) ),
    inference(mrr,[status(thm)],[203,249]),
    [iquote('8:MRR:203.0,249.0')] ).

cnf(273,plain,
    ( ~ c4_1(u)
    | ~ c3_1(u)
    | ~ skP4(u)
    | c5_2(u,a131) ),
    inference(res,[status(thm),theory(equality)],[271,71]),
    [iquote('16:Res:271.3,71.1')] ).

cnf(282,plain,
    ( ~ skP3(u)
    | c5_1(u)
    | c5_2(u,a119)
    | c5_2(u,a138) ),
    inference(mrr,[status(thm)],[279,70]),
    [iquote('8:MRR:279.2,70.1')] ).

cnf(250,plain,
    ( c5_1(u)
    | c3_2(u,v)
    | c2_2(u,v)
    | c5_2(u,v)
    | c5_2(u,a138) ),
    inference(mrr,[status(thm)],[202,249]),
    [iquote('8:MRR:202.0,249.0')] ).

cnf(271,plain,
    ( ~ c4_1(u)
    | ~ c3_1(u)
    | c5_2(u,v)
    | c4_2(u,v) ),
    inference(spt,[],[243]),
    [iquote('16:Spt:243.0,243.1,243.3,243.4')] ).

cnf(270,plain,
    ( ~ c5_2(u,a117)
    | skP2(u)
    | skP1(u) ),
    inference(spt,[],[225]),
    [iquote('15:Spt:225.1,225.3,225.4')] ).

cnf(268,plain,
    ( skP2(u)
    | skP1(u)
    | c4_2(u,a117) ),
    inference(spt,[],[224]),
    [iquote('14:Spt:224.2,224.3,224.4')] ).

cnf(266,plain,
    ( ~ skP3(a121)
    | ~ c1_2(a121,a119) ),
    inference(mrr,[status(thm)],[264,69]),
    [iquote('6:MRR:264.2,69.1')] ).

cnf(267,plain,
    ( skP2(u)
    | skP1(u)
    | c3_2(u,a117) ),
    inference(spt,[],[223]),
    [iquote('13:Spt:223.2,223.3,223.4')] ).

cnf(242,plain,
    ( ~ c4_2(a121,u)
    | ~ c1_2(a121,u)
    | c3_2(a121,u) ),
    inference(mrr,[status(thm)],[126,234]),
    [iquote('6:MRR:126.0,234.0')] ).

cnf(263,plain,
    ( ~ skP2(a121)
    | c3_2(a121,a116) ),
    inference(mrr,[status(thm)],[262,61]),
    [iquote('6:MRR:262.1,61.1')] ).

cnf(241,plain,
    ( ~ c1_2(a121,u)
    | ~ c5_2(a121,u)
    | c3_2(a121,u) ),
    inference(mrr,[status(thm)],[125,234]),
    [iquote('6:MRR:125.0,234.0')] ).

cnf(118,plain,
    ( ~ skC6
    | c5_1(u)
    | skP4(u)
    | c2_2(u,a132) ),
    inference(mrr,[status(thm)],[77,112]),
    [iquote('0:MRR:77.1,112.0')] ).

cnf(116,plain,
    ( ~ skC6
    | c5_1(u)
    | skP4(u)
    | c1_2(u,a132) ),
    inference(mrr,[status(thm)],[79,112]),
    [iquote('0:MRR:79.1,112.0')] ).

cnf(117,plain,
    ( ~ skC6
    | c5_1(u)
    | skP4(u)
    | c5_2(u,a132) ),
    inference(mrr,[status(thm)],[78,112]),
    [iquote('0:MRR:78.1,112.0')] ).

cnf(68,axiom,
    ( ~ skP2(u)
    | ~ c2_2(u,a116) ),
    file('SYN522+1.p',unknown),
    [] ).

cnf(70,axiom,
    ( ~ skP3(u)
    | ~ c2_2(u,a119) ),
    file('SYN522+1.p',unknown),
    [] ).

cnf(66,axiom,
    ( ~ skP0(u)
    | ~ c1_2(u,a104) ),
    file('SYN522+1.p',unknown),
    [] ).

cnf(72,axiom,
    ( ~ skP4(u)
    | ~ c1_2(u,a131) ),
    file('SYN522+1.p',unknown),
    [] ).

cnf(69,axiom,
    ( ~ skP3(u)
    | ~ c3_2(u,a119) ),
    file('SYN522+1.p',unknown),
    [] ).

cnf(67,axiom,
    ( ~ skP1(u)
    | ~ c4_2(u,a115) ),
    file('SYN522+1.p',unknown),
    [] ).

cnf(71,axiom,
    ( ~ skP4(u)
    | ~ c4_2(u,a131) ),
    file('SYN522+1.p',unknown),
    [] ).

cnf(59,axiom,
    ( ~ skP1(u)
    | c2_2(u,a115) ),
    file('SYN522+1.p',unknown),
    [] ).

cnf(62,axiom,
    ( ~ skP2(u)
    | c1_2(u,a116) ),
    file('SYN522+1.p',unknown),
    [] ).

cnf(58,axiom,
    ( ~ skP0(u)
    | c3_2(u,a104) ),
    file('SYN522+1.p',unknown),
    [] ).

cnf(60,axiom,
    ( ~ skP1(u)
    | c5_2(u,a115) ),
    file('SYN522+1.p',unknown),
    [] ).

cnf(61,axiom,
    ( ~ skP2(u)
    | c5_2(u,a116) ),
    file('SYN522+1.p',unknown),
    [] ).

cnf(57,axiom,
    ( ~ skP0(u)
    | c4_2(u,a104) ),
    file('SYN522+1.p',unknown),
    [] ).

cnf(63,axiom,
    ( ~ skP3(u)
    | c4_2(u,a119) ),
    file('SYN522+1.p',unknown),
    [] ).

cnf(261,plain,
    ~ skC7,
    inference(spt,[],[41]),
    [iquote('12:Spt:41.0')] ).

cnf(257,plain,
    skC3,
    inference(spt,[],[237]),
    [iquote('11:Spt:237.0')] ).

cnf(236,plain,
    ~ c2_2(a121,a122),
    inference(mrr,[status(thm)],[48,234]),
    [iquote('6:MRR:48.0,234.0')] ).

cnf(233,plain,
    ~ c3_2(a125,a126),
    inference(mrr,[status(thm)],[51,226]),
    [iquote('5:MRR:51.0,226.0')] ).

cnf(232,plain,
    ~ c5_2(a125,a126),
    inference(mrr,[status(thm)],[52,226]),
    [iquote('5:MRR:52.0,226.0')] ).

cnf(231,plain,
    ~ c4_2(a125,a127),
    inference(mrr,[status(thm)],[53,226]),
    [iquote('5:MRR:53.0,226.0')] ).

cnf(230,plain,
    ~ c3_2(a125,a127),
    inference(mrr,[status(thm)],[54,226]),
    [iquote('5:MRR:54.0,226.0')] ).

cnf(229,plain,
    ~ c2_2(a125,a127),
    inference(mrr,[status(thm)],[55,226]),
    [iquote('5:MRR:55.0,226.0')] ).

cnf(248,plain,
    ~ c5_1(a106),
    inference(mrr,[status(thm)],[31,244]),
    [iquote('7:MRR:31.0,244.0')] ).

cnf(247,plain,
    c1_2(a106,a107),
    inference(mrr,[status(thm)],[32,244]),
    [iquote('7:MRR:32.0,244.0')] ).

cnf(246,plain,
    c4_2(a106,a107),
    inference(mrr,[status(thm)],[33,244]),
    [iquote('7:MRR:33.0,244.0')] ).

cnf(245,plain,
    c2_2(a106,a107),
    inference(mrr,[status(thm)],[34,244]),
    [iquote('7:MRR:34.0,244.0')] ).

cnf(235,plain,
    c3_2(a121,a122),
    inference(mrr,[status(thm)],[26,234]),
    [iquote('6:MRR:26.0,234.0')] ).

cnf(228,plain,
    c1_2(a125,a126),
    inference(mrr,[status(thm)],[36,226]),
    [iquote('5:MRR:36.0,226.0')] ).

cnf(227,plain,
    ~ c4_1(a125),
    inference(mrr,[status(thm)],[37,226]),
    [iquote('5:MRR:37.0,226.0')] ).

cnf(222,plain,
    c4_1(a137),
    inference(mrr,[status(thm)],[114,220]),
    [iquote('4:MRR:114.0,220.0')] ).

cnf(221,plain,
    c1_1(a137),
    inference(mrr,[status(thm)],[113,220]),
    [iquote('4:MRR:113.0,220.0')] ).

cnf(253,plain,
    ~ skC2,
    inference(spt,[],[19]),
    [iquote('10:Spt:19.0')] ).

cnf(112,plain,
    ndr1_0,
    inference(mrr,[status(thm)],[8,11,12]),
    [iquote('0:MRR:8.1,8.2,11.0,12.0')] ).

cnf(252,plain,
    ~ skC5,
    inference(spt,[],[22]),
    [iquote('9:Spt:22.0')] ).

cnf(249,plain,
    c2_0,
    inference(spt,[],[29]),
    [iquote('8:Spt:29.1')] ).

cnf(244,plain,
    skC1,
    inference(spt,[],[23]),
    [iquote('7:Spt:23.1')] ).

cnf(1,axiom,
    c4_0,
    file('SYN522+1.p',unknown),
    [] ).

cnf(234,plain,
    c1_0,
    inference(spt,[],[6]),
    [iquote('6:Spt:6.0')] ).

cnf(226,plain,
    skC4,
    inference(spt,[],[27]),
    [iquote('5:Spt:27.2')] ).

cnf(220,plain,
    c3_0,
    inference(spt,[],[120]),
    [iquote('4:Spt:120.0')] ).

cnf(199,plain,
    ndr1_1(u),
    inference(spt,[],[124]),
    [iquote('3:Spt:124.3')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SYN522+1 : TPTP v8.1.0. Released v2.1.0.
% 0.11/0.12  % Command  : run_spass %d %s
% 0.11/0.33  % Computer : n003.cluster.edu
% 0.11/0.33  % Model    : x86_64 x86_64
% 0.11/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33  % Memory   : 8042.1875MB
% 0.11/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33  % CPULimit : 300
% 0.11/0.33  % WCLimit  : 600
% 0.11/0.33  % DateTime : Mon Jul 11 15:29:00 EDT 2022
% 0.11/0.33  % CPUTime  : 
% 0.17/0.45  
% 0.17/0.45  SPASS V 3.9 
% 0.17/0.45  SPASS beiseite: Completion found.
% 0.17/0.45  % SZS status CounterSatisfiable
% 0.17/0.45  Problem: /export/starexec/sandbox/benchmark/theBenchmark.p 
% 0.17/0.45  SPASS derived 121 clauses, backtracked 0 clauses, performed 18 splits and kept 208 clauses.
% 0.17/0.45  SPASS allocated 97927 KBytes.
% 0.17/0.45  SPASS spent	0:00:00.10 on the problem.
% 0.17/0.45  		0:00:00.03 for the input.
% 0.17/0.45  		0:00:00.03 for the FLOTTER CNF translation.
% 0.17/0.45  		0:00:00.00 for inferences.
% 0.17/0.45  		0:00:00.00 for the backtracking.
% 0.17/0.45  		0:00:00.01 for the reduction.
% 0.17/0.45  
% 0.17/0.45  
% 0.17/0.45   The saturated set of worked-off clauses is :
% 0.17/0.45  % SZS output start Saturation
% See solution above
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