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 : n026.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   : Satisfiable 0.18s 0.45s
% Output   : Saturation 0.18s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named 488)

% Comments : 
%------------------------------------------------------------------------------
cnf(518,plain,
    ( ~ c1_1(u)
    | ~ c3_1(u)
    | ~ c1_2(u,a628)
    | ssskP2(u)
    | c3_2(u,a627) ),
    inference(mrr,[status(thm)],[488,515]),
    [iquote('11:MRR:488.2,515.3')] ).

cnf(517,plain,
    ( ~ c1_1(u)
    | ~ c3_1(u)
    | ~ c5_2(u,a628)
    | ssskP2(u)
    | c3_2(u,a627) ),
    inference(mrr,[status(thm)],[487,515]),
    [iquote('11:MRR:487.2,515.3')] ).

cnf(523,plain,
    ( ~ c3_1(a592)
    | ~ c1_1(a592)
    | ssskP2(a592) ),
    inference(res,[status(thm),theory(equality)],[515,436]),
    [iquote('11:Res:515.3,436.0')] ).

cnf(516,plain,
    ( ~ c1_1(u)
    | ~ c3_1(u)
    | ssskP2(u)
    | c3_2(u,a627)
    | c4_2(u,a628) ),
    inference(mrr,[status(thm)],[486,515]),
    [iquote('11:MRR:486.2,515.3')] ).

cnf(515,plain,
    ( ~ c3_1(u)
    | ~ c1_1(u)
    | ssskP2(u)
    | c4_1(u) ),
    inference(mrr,[status(thm)],[514,504]),
    [iquote('11:MRR:514.4,504.2')] ).

cnf(464,plain,
    ( ~ c3_1(u)
    | ~ c1_1(u)
    | ~ c1_2(u,v)
    | c5_2(u,v)
    | c4_1(u)
    | c2_2(u,v) ),
    inference(res,[status(thm),theory(equality)],[462,420]),
    [iquote('10:Res:462.2,420.0')] ).

cnf(473,plain,
    ( ~ c1_1(u)
    | ~ c5_1(u)
    | ~ c2_2(u,a635)
    | ssskP2(u)
    | c2_2(u,a603) ),
    inference(res,[status(thm),theory(equality)],[469,422]),
    [iquote('11:Res:469.2,422.1')] ).

cnf(466,plain,
    ( ~ c3_1(u)
    | ~ c1_1(u)
    | c5_2(u,a595)
    | ssskP2(u)
    | c2_2(u,a603) ),
    inference(obv,[status(thm),theory(equality)],[465]),
    [iquote('10:Obv:465.1')] ).

cnf(485,plain,
    ( ~ c1_1(u)
    | ~ c3_1(u)
    | ~ c2_2(u,a635)
    | ssskP2(u) ),
    inference(mrr,[status(thm)],[484,478]),
    [iquote('11:MRR:484.4,478.2')] ).

cnf(478,plain,
    ( ~ c1_1(u)
    | ~ c3_1(u)
    | ~ c2_2(u,a627)
    | ssskP2(u) ),
    inference(obv,[status(thm),theory(equality)],[474]),
    [iquote('11:Obv:474.3')] ).

cnf(477,plain,
    ( ~ c1_1(u)
    | ~ c3_1(u)
    | ssskP2(u)
    | c1_2(u,a627) ),
    inference(obv,[status(thm),theory(equality)],[475]),
    [iquote('11:Obv:475.2')] ).

cnf(469,plain,
    ( ~ c1_1(u)
    | ssskP2(u)
    | c1_2(u,a603) ),
    inference(mrr,[status(thm)],[468,62]),
    [iquote('11:MRR:468.3,62.0')] ).

cnf(467,plain,
    ( ~ c1_1(u)
    | ~ c5_2(u,v)
    | c1_2(u,v)
    | c4_2(u,v) ),
    inference(spt,[],[425]),
    [iquote('11:Spt:425.0,425.3,425.4,425.5')] ).

cnf(462,plain,
    ( ~ c3_1(u)
    | ~ c1_1(u)
    | c4_2(u,v)
    | c5_2(u,v) ),
    inference(spt,[],[432]),
    [iquote('10:Spt:432.0,432.1,432.4,432.5')] ).

cnf(461,plain,
    ( ~ c3_1(u)
    | ~ c1_2(u,a603)
    | ~ c2_2(u,a627)
    | ssskP2(u) ),
    inference(mrr,[status(thm)],[460,39]),
    [iquote('8:MRR:460.1,39.1')] ).

cnf(442,plain,
    ( ~ c3_1(u)
    | ~ c5_2(u,v)
    | ~ c3_2(u,v)
    | ~ c1_2(u,v)
    | ~ c2_2(u,a627) ),
    inference(mrr,[status(thm)],[430,440]),
    [iquote('8:MRR:430.5,440.0')] ).

cnf(459,plain,
    ( ~ c3_1(u)
    | ~ c1_2(u,a603)
    | ssskP2(u)
    | c1_2(u,a627) ),
    inference(mrr,[status(thm)],[458,39]),
    [iquote('8:MRR:458.1,39.1')] ).

cnf(441,plain,
    ( ~ c3_1(u)
    | ~ c5_2(u,v)
    | ~ c3_2(u,v)
    | ~ c1_2(u,v)
    | c1_2(u,a627) ),
    inference(mrr,[status(thm)],[429,440]),
    [iquote('8:MRR:429.4,440.0')] ).

cnf(457,plain,
    ( ~ c1_2(u,a628)
    | ssskP3(u)
    | c3_2(u,a621) ),
    inference(mrr,[status(thm)],[456,446,60]),
    [iquote('3:MRR:456.0,456.4,446.1,60.0')] ).

cnf(424,plain,
    ( ~ c4_1(u)
    | ~ c1_2(u,v)
    | ~ c1_2(u,a628)
    | c3_2(u,v)
    | c2_2(u,v) ),
    inference(mrr,[status(thm)],[400,415]),
    [iquote('3:MRR:400.3,415.0')] ).

cnf(455,plain,
    ( ~ c5_2(u,a628)
    | ssskP3(u)
    | c3_2(u,a621) ),
    inference(mrr,[status(thm)],[454,446,60]),
    [iquote('3:MRR:454.0,454.4,446.1,60.0')] ).

cnf(453,plain,
    ( ssskP3(u)
    | c3_2(u,a621)
    | c4_2(u,a628) ),
    inference(mrr,[status(thm)],[452,446,60]),
    [iquote('3:MRR:452.0,452.3,446.1,60.0')] ).

cnf(423,plain,
    ( ~ c4_1(u)
    | ~ c1_2(u,v)
    | ~ c5_2(u,a628)
    | c3_2(u,v)
    | c2_2(u,v) ),
    inference(mrr,[status(thm)],[399,415]),
    [iquote('3:MRR:399.3,415.0')] ).

cnf(421,plain,
    ( ~ c4_1(u)
    | ~ c1_2(u,v)
    | c3_2(u,v)
    | c2_2(u,v)
    | c4_2(u,a628) ),
    inference(mrr,[status(thm)],[398,415]),
    [iquote('3:MRR:398.2,415.0')] ).

cnf(451,plain,
    ( ~ c5_1(u)
    | ~ c2_2(u,a635)
    | ssskP3(u) ),
    inference(mrr,[status(thm)],[450,60]),
    [iquote('3:MRR:450.3,60.0')] ).

cnf(422,plain,
    ( ~ c5_1(u)
    | ~ c1_2(u,v)
    | ~ c2_2(u,a635)
    | c2_2(u,v) ),
    inference(mrr,[status(thm)],[372,363,416]),
    [iquote('3:MRR:372.1,372.4,363.0,416.0')] ).

cnf(449,plain,
    ( ~ c1_1(u)
    | ~ c1_2(u,a595)
    | ssskP2(u)
    | c2_2(u,a603) ),
    inference(res,[status(thm),theory(equality)],[38,397]),
    [iquote('3:Res:38.1,397.1')] ).

cnf(397,plain,
    ( ~ c1_1(u)
    | ~ c5_2(u,v)
    | ~ c1_2(u,a595)
    | c2_2(u,v) ),
    inference(mrr,[status(thm)],[209,363]),
    [iquote('3:MRR:209.1,363.0')] ).

cnf(448,plain,
    ( ~ c1_1(u)
    | ~ c4_2(u,a595)
    | ssskP2(u)
    | c2_2(u,a603) ),
    inference(res,[status(thm),theory(equality)],[38,396]),
    [iquote('3:Res:38.1,396.1')] ).

cnf(396,plain,
    ( ~ c1_1(u)
    | ~ c5_2(u,v)
    | ~ c4_2(u,a595)
    | c2_2(u,v) ),
    inference(mrr,[status(thm)],[208,363]),
    [iquote('3:MRR:208.1,363.0')] ).

cnf(447,plain,
    ssskP3(a592),
    inference(res,[status(thm),theory(equality)],[446,436]),
    [iquote('6:Res:446.1,436.0')] ).

cnf(446,plain,
    ( ssskP3(u)
    | c4_1(u) ),
    inference(mrr,[status(thm)],[445,35,60]),
    [iquote('3:MRR:445.0,445.3,35.1,60.0')] ).

cnf(420,plain,
    ( ~ c4_2(u,v)
    | ~ c1_2(u,v)
    | c4_1(u)
    | c2_2(u,v) ),
    inference(mrr,[status(thm)],[367,369,370]),
    [iquote('3:MRR:367.0,367.1,369.0,370.0')] ).

cnf(438,plain,
    ( ~ c1_2(a592,u)
    | c4_2(a592,u)
    | c5_2(a592,u) ),
    inference(mrr,[status(thm)],[413,435]),
    [iquote('6:MRR:413.1,435.0')] ).

cnf(443,plain,
    ( ~ c3_1(u)
    | c5_1(u) ),
    inference(spt,[],[381]),
    [iquote('9:Spt:381.0,381.2')] ).

cnf(64,axiom,
    ( ~ c3_2(u,a599)
    | ssskP0(u) ),
    file('SYN539-1.p',unknown),
    [] ).

cnf(65,axiom,
    ( ~ c5_2(u,a599)
    | ssskP0(u) ),
    file('SYN539-1.p',unknown),
    [] ).

cnf(62,axiom,
    ( ~ c4_2(u,a603)
    | ssskP2(u) ),
    file('SYN539-1.p',unknown),
    [] ).

cnf(60,axiom,
    ( ~ c2_2(u,a621)
    | ssskP3(u) ),
    file('SYN539-1.p',unknown),
    [] ).

cnf(63,axiom,
    ( ~ c2_2(u,a602)
    | ssskP1(u) ),
    file('SYN539-1.p',unknown),
    [] ).

cnf(41,axiom,
    ( ssskP0(u)
    | c2_2(u,a599) ),
    file('SYN539-1.p',unknown),
    [] ).

cnf(35,axiom,
    ( ssskP3(u)
    | c1_2(u,a621) ),
    file('SYN539-1.p',unknown),
    [] ).

cnf(39,axiom,
    ( ssskP2(u)
    | c3_2(u,a603) ),
    file('SYN539-1.p',unknown),
    [] ).

cnf(40,axiom,
    ( ssskP1(u)
    | c3_2(u,a602) ),
    file('SYN539-1.p',unknown),
    [] ).

cnf(38,axiom,
    ( ssskP2(u)
    | c5_2(u,a603) ),
    file('SYN539-1.p',unknown),
    [] ).

cnf(36,axiom,
    ( ssskP3(u)
    | c4_2(u,a621) ),
    file('SYN539-1.p',unknown),
    [] ).

cnf(440,plain,
    ~ c2_0,
    inference(spt,[],[391]),
    [iquote('8:Spt:391.0')] ).

cnf(437,plain,
    ~ c3_1(a592),
    inference(mrr,[status(thm)],[43,435]),
    [iquote('6:MRR:43.1,435.0')] ).

cnf(436,plain,
    ~ c4_1(a592),
    inference(mrr,[status(thm)],[44,435]),
    [iquote('6:MRR:44.1,435.0')] ).

cnf(389,plain,
    ~ c3_1(a631),
    inference(mrr,[status(thm)],[48,370]),
    [iquote('3:MRR:48.0,370.0')] ).

cnf(363,plain,
    ndr1_1(u),
    inference(mrr,[status(thm)],[355,362]),
    [iquote('3:MRR:355.0,362.0')] ).

cnf(419,plain,
    c4_1(a619),
    inference(mrr,[status(thm)],[159,416]),
    [iquote('3:MRR:159.0,416.0')] ).

cnf(418,plain,
    c1_1(a619),
    inference(mrr,[status(thm)],[158,416]),
    [iquote('3:MRR:158.0,416.0')] ).

cnf(417,plain,
    c5_1(a619),
    inference(mrr,[status(thm)],[157,416]),
    [iquote('3:MRR:157.0,416.0')] ).

cnf(416,plain,
    ~ c1_0,
    inference(mrr,[status(thm)],[374,370]),
    [iquote('3:MRR:374.0,370.0')] ).

cnf(415,plain,
    ~ ssskC5,
    inference(mrr,[status(thm)],[371,369]),
    [iquote('3:MRR:371.0,369.0')] ).

cnf(388,plain,
    c1_1(a631),
    inference(mrr,[status(thm)],[25,370]),
    [iquote('3:MRR:25.0,370.0')] ).

cnf(370,plain,
    c4_0,
    inference(mrr,[status(thm)],[160,362]),
    [iquote('3:MRR:160.0,362.0')] ).

cnf(369,plain,
    c3_0,
    inference(mrr,[status(thm)],[24,362]),
    [iquote('3:MRR:24.0,362.0')] ).

cnf(368,plain,
    ssskC7,
    inference(mrr,[status(thm)],[31,362]),
    [iquote('3:MRR:31.0,362.0')] ).

cnf(439,plain,
    ssskC1,
    inference(spt,[],[42]),
    [iquote('7:Spt:42.1')] ).

cnf(155,plain,
    ndr1_0,
    inference(mrr,[status(thm)],[10,3]),
    [iquote('0:MRR:10.0,3.1')] ).

cnf(435,plain,
    ~ ssskC0,
    inference(spt,[],[29]),
    [iquote('6:Spt:29.1')] ).

cnf(431,plain,
    ssskC3,
    inference(spt,[],[37]),
    [iquote('5:Spt:37.0')] ).

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

cnf(428,plain,
    ssskC4,
    inference(spt,[],[33]),
    [iquote('4:Spt:33.0')] ).

cnf(362,plain,
    c2_1(u),
    inference(spt,[],[198]),
    [iquote('3:Spt:198.4')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : SYN539-1 : TPTP v8.1.0. Released v2.1.0.
% 0.06/0.12  % Command  : run_spass %d %s
% 0.12/0.33  % Computer : n026.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 17:32:12 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 126 clauses, backtracked 0 clauses, performed 11 splits and kept 243 clauses.
% 0.18/0.45  SPASS allocated 75993 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
%------------------------------------------------------------------------------