TSTP Solution File: COL011-1 by CSE_E---1.6

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : CSE_E---1.6
% Problem  : COL011-1 : TPTP v8.2.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s

% Computer : n007.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  : 300s
% DateTime : Tue Jun 18 07:36:23 EDT 2024

% Result   : Unsatisfiable 56.00s 56.07s
% Output   : CNFRefutation 56.00s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : COL011-1 : TPTP v8.2.0. Released v1.0.0.
% 0.11/0.12  % Command    : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.12/0.32  % Computer : n007.cluster.edu
% 0.12/0.32  % Model    : x86_64 x86_64
% 0.12/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32  % Memory   : 8042.1875MB
% 0.12/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32  % CPULimit   : 300
% 0.12/0.32  % WCLimit    : 300
% 0.12/0.32  % DateTime   : Mon Jun 17 15:32:39 EDT 2024
% 0.12/0.32  % CPUTime  : 
% 0.20/0.56  start to proof: theBenchmark
% 56.00/56.07  % Version  : CSE_E---1.6
% 56.00/56.07  % Problem  : theBenchmark.p
% 56.00/56.07  % Proof found
% 56.00/56.07  % SZS status Theorem for theBenchmark.p
% 56.00/56.07  % SZS output start Proof
% 56.00/56.07  [6]~E(f2(a3,x61),x61)
% 56.00/56.07  [4]E(f2(f2(a1,x41),x42),f2(x42,f2(x41,x42)))
% 56.00/56.07  [5]E(f2(f2(f2(a4,x51),x52),x53),f2(x51,f2(x53,x52)))
% 56.00/56.07  [7]E(x71,x71)
% 56.00/56.07  [8]E(x82,x81)+~E(x81,x82)
% 56.00/56.07  [9]E(x91,x93)+~E(x91,x92)+~E(x92,x93)
% 56.00/56.07  [10]~E(x101,x102)+E(f2(x101,x103),f2(x102,x103))
% 56.00/56.07  [11]~E(x111,x112)+E(f2(x113,x111),f2(x113,x112))
% 56.00/56.07  cnf(12,plain,
% 56.00/56.07     (E(f2(x121,f2(x122,x121)),f2(f2(a1,x122),x121))),
% 56.00/56.07     inference(scs_inference,[],[4,8])).
% 56.00/56.07  cnf(15,plain,
% 56.00/56.07     (E(f2(x151,f2(x152,x153)),f2(f2(f2(a4,x151),x153),x152))),
% 56.00/56.07     inference(scs_inference,[],[5,8])).
% 56.00/56.07  cnf(19,plain,
% 56.00/56.07     (~E(f2(a1,x191),x191)),
% 56.00/56.07     inference(scs_inference,[],[6,12,5,8,9,11,10])).
% 56.00/56.07  cnf(25,plain,
% 56.00/56.07     (~E(f2(f2(a1,x251),a1),f2(x251,a1))),
% 56.00/56.07     inference(scs_inference,[],[19,12,9,11])).
% 56.00/56.07  cnf(28,plain,
% 56.00/56.07     (~E(f2(f2(a1,f2(a1,x281)),a1),f2(a1,f2(x281,a1)))),
% 56.00/56.07     inference(scs_inference,[],[25,12,9])).
% 56.00/56.07  cnf(33,plain,
% 56.00/56.07     (~E(f2(f2(f2(a4,a1),x331),x332),f2(x332,x331))),
% 56.00/56.07     inference(scs_inference,[],[19,15,9,11])).
% 56.00/56.07  cnf(34,plain,
% 56.00/56.07     (~E(f2(f2(a4,a1),x341),x341)),
% 56.00/56.07     inference(scs_inference,[],[19,15,9,11,10])).
% 56.00/56.07  cnf(39,plain,
% 56.00/56.07     (~E(f2(f2(f2(a4,a3),x391),x392),f2(x392,x391))),
% 56.00/56.07     inference(scs_inference,[],[15,6,9,11])).
% 56.00/56.07  cnf(40,plain,
% 56.00/56.07     (~E(f2(f2(a4,a3),x401),x401)),
% 56.00/56.07     inference(scs_inference,[],[15,6,9,11,10])).
% 56.00/56.07  cnf(56,plain,
% 56.00/56.07     (~E(f2(a1,f2(a1,a1)),f2(f2(a4,a1),a1))),
% 56.00/56.07     inference(scs_inference,[],[28,5,9,10])).
% 56.00/56.07  cnf(64,plain,
% 56.00/56.07     (~E(f2(a4,f2(f2(a4,a1),x641)),x641)),
% 56.00/56.07     inference(scs_inference,[],[33,15,9,11,10])).
% 56.00/56.07  cnf(65,plain,
% 56.00/56.07     (~E(f2(f2(a4,a1),f2(a4,x651)),x651)),
% 56.00/56.07     inference(scs_inference,[],[64,11])).
% 56.00/56.07  cnf(80,plain,
% 56.00/56.07     (~E(f2(f2(f2(a4,f2(a4,a1)),x801),x802),f2(x802,x801))),
% 56.00/56.07     inference(scs_inference,[],[34,15,9,11])).
% 56.00/56.07  cnf(96,plain,
% 56.00/56.07     (~E(f2(a4,f2(f2(a4,a3),x961)),x961)),
% 56.00/56.07     inference(scs_inference,[],[39,15,9,11,10])).
% 56.00/56.07  cnf(97,plain,
% 56.00/56.07     (~E(f2(f2(a4,a3),f2(a4,x971)),x971)),
% 56.00/56.07     inference(scs_inference,[],[96,11])).
% 56.00/56.07  cnf(99,plain,
% 56.00/56.07     (~E(f2(f2(f2(a4,a3),x991),f2(a1,x992)),f2(x991,f2(x992,x991)))),
% 56.00/56.07     inference(scs_inference,[],[39,12,96,11,9])).
% 56.00/56.07  cnf(116,plain,
% 56.00/56.07     (~E(f2(f2(a1,x1161),f2(a4,a3)),f2(x1161,f2(a4,a3)))),
% 56.00/56.07     inference(scs_inference,[],[40,12,9,11])).
% 56.00/56.07  cnf(159,plain,
% 56.00/56.07     (~E(f2(a4,f2(f2(a1,x1591),f2(a4,a1))),f2(x1591,f2(a4,a1)))),
% 56.00/56.07     inference(scs_inference,[],[65,12,9,11])).
% 56.00/56.07  cnf(160,plain,
% 56.00/56.07     (~E(f2(f2(a1,a4),f2(a4,a1)),f2(a4,a1))),
% 56.00/56.07     inference(scs_inference,[],[159,11])).
% 56.00/56.07  cnf(195,plain,
% 56.00/56.07     (~E(f2(f2(a4,f2(a4,a1)),f2(a4,x1951)),x1951)),
% 56.00/56.07     inference(scs_inference,[],[80,15,9,10])).
% 56.00/56.07  cnf(197,plain,
% 56.00/56.07     (~E(f2(f2(f2(a4,f2(a4,a1)),x1971),f2(a1,x1972)),f2(x1971,f2(x1972,x1971)))),
% 56.00/56.07     inference(scs_inference,[],[80,12,9])).
% 56.00/56.07  cnf(264,plain,
% 56.00/56.07     (~E(f2(a4,f2(f2(a1,x2641),f2(a4,a3))),f2(x2641,f2(a4,a3)))),
% 56.00/56.07     inference(scs_inference,[],[97,12,9,11])).
% 56.00/56.07  cnf(265,plain,
% 56.00/56.07     (~E(f2(f2(a1,a4),f2(a4,a3)),f2(a4,a3))),
% 56.00/56.07     inference(scs_inference,[],[264,11])).
% 56.00/56.07  cnf(274,plain,
% 56.00/56.07     (~E(f2(a1,f2(a4,a3)),f2(x2741,f2(f2(a4,a3),f2(a1,x2741))))),
% 56.00/56.07     inference(scs_inference,[],[99,12,9,11])).
% 56.00/56.07  cnf(275,plain,
% 56.00/56.07     (~E(f2(a4,a3),f2(f2(a4,a3),f2(a1,a1)))),
% 56.00/56.08     inference(scs_inference,[],[274,11])).
% 56.00/56.08  cnf(301,plain,
% 56.00/56.08     (E(f2(f2(f2(a1,x3011),x3012),x3013),f2(f2(x3012,f2(x3011,x3012)),x3013))),
% 56.00/56.08     inference(scs_inference,[],[4,160,8,10])).
% 56.00/56.08  cnf(306,plain,
% 56.00/56.08     (E(f2(f2(x3061,f2(x3062,x3063)),x3064),f2(f2(f2(f2(a4,x3061),x3063),x3062),x3064))),
% 56.00/56.08     inference(scs_inference,[],[265,15,8,10])).
% 56.00/56.08  cnf(307,plain,
% 56.00/56.08     (E(f2(x3071,f2(x3072,f2(x3073,x3074))),f2(x3071,f2(f2(f2(a4,x3072),x3074),x3073)))),
% 56.00/56.08     inference(scs_inference,[],[265,15,8,10,11])).
% 56.00/56.08  cnf(308,plain,
% 56.00/56.08     (E(f2(f2(f2(a1,x3081),a1),x3082),f2(x3082,f2(f2(x3081,a1),x3082)))),
% 56.00/56.08     inference(scs_inference,[],[4,265,301,15,8,10,11,9])).
% 56.00/56.08  cnf(312,plain,
% 56.00/56.08     (E(f2(f2(x3121,f2(x3122,x3121)),x3123),f2(f2(f2(a1,x3122),x3121),x3123))),
% 56.00/56.08     inference(scs_inference,[],[275,12,8,10])).
% 56.00/56.08  cnf(325,plain,
% 56.00/56.08     (~E(f2(f2(a4,a1),a1),f2(a1,f2(a1,a1)))),
% 56.00/56.08     inference(scs_inference,[],[56,8])).
% 56.00/56.08  cnf(326,plain,
% 56.00/56.08     (~E(f2(f2(f2(a1,x3261),a1),f2(a4,a3)),f2(f2(x3261,a1),f2(a4,a3)))),
% 56.00/56.08     inference(scs_inference,[],[56,116,312,8,9])).
% 56.00/56.08  cnf(342,plain,
% 56.00/56.08     (~E(f2(f2(a4,a1),a1),f2(f2(a1,a1),a1))),
% 56.00/56.08     inference(scs_inference,[],[4,325,326,8,9])).
% 56.00/56.08  cnf(344,plain,
% 56.00/56.08     (~E(f2(f2(a1,a1),a1),f2(f2(a4,a1),a1))),
% 56.00/56.08     inference(scs_inference,[],[342,8])).
% 56.00/56.08  cnf(561,plain,
% 56.00/56.08     (~E(f2(f2(f2(f2(a4,a1),x5611),a1),a1),f2(a1,f2(x5611,a1)))),
% 56.00/56.08     inference(scs_inference,[],[28,306,9])).
% 56.00/56.08  cnf(579,plain,
% 56.00/56.08     (~E(f2(f2(a4,f2(a4,a1)),f2(f2(f2(a4,a4),x5791),x5792)),f2(x5792,x5791))),
% 56.00/56.08     inference(scs_inference,[],[344,195,307,10,9])).
% 56.00/56.08  cnf(1264,plain,
% 56.00/56.08     (~E(f2(x12641,x12642),f2(f2(a4,f2(a4,a1)),f2(f2(f2(a4,a4),x12642),x12641)))),
% 56.00/56.08     inference(scs_inference,[],[579,8])).
% 56.00/56.08  cnf(1323,plain,
% 56.00/56.08     (E(f2(f2(f2(f2(a1,x13231),a1),x13232),x13233),f2(f2(x13232,f2(f2(x13231,a1),x13232)),x13233))),
% 56.00/56.08     inference(scs_inference,[],[308,197,8,10])).
% 56.00/56.08  cnf(1848,plain,
% 56.00/56.08     ($false),
% 56.00/56.08     inference(scs_inference,[],[4,5,307,1323,561,1264,11,10,8,9]),
% 56.00/56.08     ['proof']).
% 56.00/56.09  % SZS output end Proof
% 56.00/56.09  % Total time : 55.500000 s
%------------------------------------------------------------------------------