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SPASS---3.9.CSA-Sat.s

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%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : LCL637+1.001 : TPTP v9.3.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp
% Command  : run_spass %d %s

% Computer : n007.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Mon Sep  7 01:07:49 PM UTC 2026

% Result   : CounterSatisfiable 0.21s 0.54s
% Output   : Saturation 0.21s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named 129ERROR: Could not build tree for root 130ERROR: MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
cnf(130,plain,
    ( ~ p101(skc3)
    | ~ r1(skc3,skc3) ),
    inference(mrr,[status(thm)],[129,124]),
    [iquote('0:MRR:129.2,124.1')] ).

cnf(24,axiom,
    ( ~ p101(u)
    | ~ p101(v)
    | ~ p2(v)
    | ~ r1(u,v)
    | ~ r1(skc3,u)
    | p2(u) ),
    file('LCL637+1.001.p',unknown),
    [] ).

cnf(25,axiom,
    ( ~ p101(u)
    | ~ p2(u)
    | ~ p101(v)
    | ~ r1(u,v)
    | ~ r1(skc3,u)
    | p2(v) ),
    file('LCL637+1.001.p',unknown),
    [] ).

cnf(118,plain,
    ( ~ p100(u)
    | ~ p100(skf3(u))
    | ~ p1(skf3(u))
    | ~ r1(skc3,u)
    | p101(u) ),
    inference(obv,[status(thm),theory(equality)],[115]),
    [iquote('1:Obv:115.4')] ).

cnf(117,plain,
    ( ~ p100(u)
    | ~ p100(skf2(u))
    | ~ p1(skf2(u))
    | ~ r1(skc3,u)
    | p101(u) ),
    inference(obv,[status(thm),theory(equality)],[116]),
    [iquote('1:Obv:116.4')] ).

cnf(112,plain,
    ( ~ p1(skf2(skc3))
    | ~ r1(skc3,skc3) ),
    inference(mrr,[status(thm)],[107,111]),
    [iquote('1:MRR:107.0,111.1')] ).

cnf(60,plain,
    ( ~ p100(u)
    | ~ p100(v)
    | ~ p1(v)
    | ~ r1(u,v)
    | ~ r1(skc3,u) ),
    inference(mrr,[status(thm)],[26,58]),
    [iquote('1:MRR:26.5,58.1')] ).

cnf(111,plain,
    ( ~ r1(skc3,skc3)
    | p100(skf2(skc3)) ),
    inference(mrr,[status(thm)],[110,5]),
    [iquote('0:MRR:110.2,5.0')] ).

cnf(99,plain,
    ( ~ p1(skf3(skc3))
    | ~ r1(skc3,skc3) ),
    inference(mrr,[status(thm)],[94,98]),
    [iquote('1:MRR:94.0,98.1')] ).

cnf(98,plain,
    ( ~ r1(skc3,skc3)
    | p100(skf3(skc3)) ),
    inference(mrr,[status(thm)],[97,5]),
    [iquote('0:MRR:97.2,5.0')] ).

cnf(18,axiom,
    ( ~ p100(u)
    | ~ r1(skc3,u)
    | p101(u)
    | r1(u,skf2(u)) ),
    file('LCL637+1.001.p',unknown),
    [] ).

cnf(20,axiom,
    ( ~ p100(u)
    | ~ r1(skc3,u)
    | p101(u)
    | r1(u,skf3(u)) ),
    file('LCL637+1.001.p',unknown),
    [] ).

cnf(19,axiom,
    ( ~ p100(u)
    | ~ p102(skf2(u))
    | ~ r1(skc3,u)
    | p101(u) ),
    file('LCL637+1.001.p',unknown),
    [] ).

cnf(21,axiom,
    ( ~ p100(u)
    | ~ p102(skf3(u))
    | ~ r1(skc3,u)
    | p101(u) ),
    file('LCL637+1.001.p',unknown),
    [] ).

cnf(16,axiom,
    ( ~ p100(u)
    | ~ r1(skc3,u)
    | p101(u)
    | p101(skf2(u)) ),
    file('LCL637+1.001.p',unknown),
    [] ).

cnf(17,axiom,
    ( ~ p100(u)
    | ~ r1(skc3,u)
    | p101(u)
    | p101(skf3(u)) ),
    file('LCL637+1.001.p',unknown),
    [] ).

cnf(58,plain,
    ( ~ p100(u)
    | ~ p1(u)
    | ~ r1(skc3,u) ),
    inference(spt,[],[36]),
    [iquote('1:Spt:36.0,36.1,36.2')] ).

cnf(15,axiom,
    ( ~ p101(u)
    | ~ r1(skc3,u)
    | p100(u) ),
    file('LCL637+1.001.p',unknown),
    [] ).

cnf(78,plain,
    ~ p1(skc3),
    inference(spt,[],[77,59]),
    [iquote('2:Spt:77.0,59.1')] ).

cnf(68,plain,
    ~ p1(skc6),
    inference(mrr,[status(thm)],[62,67]),
    [iquote('1:MRR:62.0,67.0')] ).

cnf(66,plain,
    ~ p1(skc7),
    inference(mrr,[status(thm)],[61,65]),
    [iquote('1:MRR:61.0,65.0')] ).

cnf(67,plain,
    p100(skc6),
    inference(ssi,[status(thm)],[64,30]),
    [iquote('0:SSi:64.0,30.0')] ).

cnf(65,plain,
    p100(skc7),
    inference(ssi,[status(thm)],[63,1,29]),
    [iquote('0:SSi:63.0,1.0,29.0')] ).

cnf(6,axiom,
    ~ p2(skf2(u)),
    file('LCL637+1.001.p',unknown),
    [] ).

cnf(4,axiom,
    p2(skf3(u)),
    file('LCL637+1.001.p',unknown),
    [] ).

cnf(5,axiom,
    ~ p101(skc3),
    file('LCL637+1.001.p',unknown),
    [] ).

cnf(3,axiom,
    ~ p2(skc6),
    file('LCL637+1.001.p',unknown),
    [] ).

cnf(33,plain,
    ~ p102(skc6),
    inference(mrr,[status(thm)],[11,2,5]),
    [iquote('0:MRR:11.1,11.2,2.0,5.0')] ).

cnf(31,plain,
    ~ p102(skc7),
    inference(mrr,[status(thm)],[13,2,5]),
    [iquote('0:MRR:13.1,13.2,2.0,5.0')] ).

cnf(28,plain,
    ~ p102(skc3),
    inference(mrr,[status(thm)],[7,5]),
    [iquote('0:MRR:7.1,5.0')] ).

cnf(34,plain,
    r1(skc3,skc6),
    inference(mrr,[status(thm)],[10,2,5]),
    [iquote('0:MRR:10.0,10.2,2.0,5.0')] ).

cnf(32,plain,
    r1(skc3,skc7),
    inference(mrr,[status(thm)],[12,2,5]),
    [iquote('0:MRR:12.0,12.2,2.0,5.0')] ).

cnf(30,plain,
    p101(skc6),
    inference(mrr,[status(thm)],[8,2,5]),
    [iquote('0:MRR:8.0,8.2,2.0,5.0')] ).

cnf(29,plain,
    p101(skc7),
    inference(mrr,[status(thm)],[9,2,5]),
    [iquote('0:MRR:9.0,9.2,2.0,5.0')] ).

cnf(2,axiom,
    p100(skc3),
    file('LCL637+1.001.p',unknown),
    [] ).

cnf(1,axiom,
    p2(skc7),
    file('LCL637+1.001.p',unknown),
    [] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : LCL637+1.001 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.03  % Command  : run_spass %d %s
% 0.07/0.36  % Computer : n007.cluster.edu
% 0.07/0.36  % Model    : x86_64 x86_64
% 0.07/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.36  % Memory   : 8046.5625MB
% 0.07/0.36  % OS       : Linux 6.8.0-71-generic
% 0.07/0.36  % CPULimit : 300
% 0.07/0.36  % WCLimit  : 300
% 0.07/0.36  % DateTime : Sat Sep  5 01:15:24 UTC 2026
% 0.07/0.36  % CPUTime  : 
% 0.21/0.54  
% 0.21/0.54  SPASS V 3.9 
% 0.21/0.54  SPASS beiseite: Completion found.
% 0.21/0.54  % SZS status CounterSatisfiable
% 0.21/0.54  Problem: /export/starexec/sandbox/benchmark/theBenchmark.p 
% 0.21/0.54  SPASS derived 48 clauses, backtracked 13 clauses, performed 2 splits and kept 64 clauses.
% 0.21/0.54  SPASS allocated 97697 KBytes.
% 0.21/0.54  SPASS spent	0:00:00.16 on the problem.
% 0.21/0.54  		0:00:00.06 for the input.
% 0.21/0.54  		0:00:00.05 for the FLOTTER CNF translation.
% 0.21/0.54  		0:00:00.00 for inferences.
% 0.21/0.54  		0:00:00.00 for the backtracking.
% 0.21/0.54  		0:00:00.01 for the reduction.
% 0.21/0.54  
% 0.21/0.54  
% 0.21/0.54   The saturated set of worked-off clauses is :
% 0.21/0.54  % SZS output start Saturation
% See solution above
%------------------------------------------------------------------------------