TSTP Solution File: SYN353-1 by PyRes---1.3

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : PyRes---1.3
% Problem  : SYN353-1 : TPTP v8.1.0. Released v1.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n022.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 11:27:29 EDT 2022

% Result   : Unsatisfiable 7.32s 7.53s
% Output   : Refutation 7.32s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named input)

% Comments : 
%------------------------------------------------------------------------------
cnf(clause6,negated_conjecture,
    ( ~ f(X39,X38,X40)
    | f(X40,X39,X38)
    | ~ f(X40,z(X40,X39,X38),X39) ),
    input ).

cnf(clause8,negated_conjecture,
    ( f(X6,X5,X7)
    | f(X7,z(X7,X6,X5),X6) ),
    input ).

cnf(clause1,negated_conjecture,
    ( ~ f(X19,X18,X17)
    | ~ f(a,a,z(X19,X18,X17))
    | f(X18,X17,X19)
    | f(X17,X19,X18) ),
    input ).

cnf(clause3,negated_conjecture,
    ( ~ f(X29,X31,X30)
    | f(X30,X29,X31)
    | ~ f(X30,X31,z(X31,X30,X29)) ),
    input ).

cnf(clause4,negated_conjecture,
    ( f(X2,X4,X3)
    | f(X3,X4,z(X4,X3,X2)) ),
    input ).

cnf(clause7,negated_conjecture,
    ( ~ f(X45,X44,X46)
    | f(X44,X46,X45)
    | ~ f(X46,z(X46,X45,X44),X45) ),
    input ).

cnf(clause10,negated_conjecture,
    ( f(X53,X55,X54)
    | f(X55,X54,X53)
    | ~ f(z(X55,X54,X53),X54,X55) ),
    input ).

cnf(c8,plain,
    ( ~ f(a,a,X92)
    | f(a,X92,a)
    | f(X92,a,a) ),
    inference(resolution,status(thm),[clause1,clause4]) ).

cnf(clause12,negated_conjecture,
    ( ~ f(X59,X61,X60)
    | ~ f(X60,X59,X61)
    | f(z(X61,X60,X59),X60,X61) ),
    input ).

cnf(c72,plain,
    ( ~ f(X214,X215,X213)
    | f(z(X215,X213,X214),X213,X215)
    | f(X215,z(X215,X213,X214),X213) ),
    inference(resolution,status(thm),[clause12,clause8]) ).

cnf(c959,plain,
    ( f(z(X580,X579,X578),X579,X580)
    | f(X580,z(X580,X579,X578),X579)
    | f(X579,X580,z(X580,X579,X578)) ),
    inference(resolution,status(thm),[c72,clause4]) ).

cnf(c5193,plain,
    ( f(z(a,a,X581),a,a)
    | f(a,z(a,a,X581),a) ),
    inference(resolution,status(thm),[c959,c8]) ).

cnf(c5232,plain,
    ( f(a,z(a,a,X759),a)
    | f(X759,a,a)
    | f(a,a,X759) ),
    inference(resolution,status(thm),[c5193,clause10]) ).

cnf(c9462,plain,
    ( f(X760,a,a)
    | f(a,a,X760)
    | ~ f(a,X760,a) ),
    inference(resolution,status(thm),[c5232,clause7]) ).

cnf(c9612,plain,
    ( f(X768,a,a)
    | f(a,a,X768)
    | f(a,X768,z(X768,a,a)) ),
    inference(resolution,status(thm),[c9462,clause4]) ).

cnf(clause2,negated_conjecture,
    ( ~ f(X23,X25,X24)
    | f(X25,X24,X23)
    | ~ f(X24,X25,z(X25,X24,X23)) ),
    input ).

cnf(c42,plain,
    ( ~ f(X130,X131,X129)
    | f(X131,X129,X130)
    | f(X130,z(X130,X129,z(X129,X130,X131)),X129) ),
    inference(resolution,status(thm),[clause7,clause8]) ).

cnf(c269,plain,
    ( f(X469,X468,X467)
    | f(X467,z(X467,X468,z(X468,X467,X469)),X468)
    | f(X468,X469,z(X469,X468,X467)) ),
    inference(resolution,status(thm),[c42,clause4]) ).

cnf(clause5,negated_conjecture,
    ( ~ f(X37,X36,X35)
    | ~ f(X36,X35,X37)
    | f(X36,X37,z(X37,X36,X35)) ),
    input ).

cnf(c37,plain,
    ( ~ f(X127,X128,X126)
    | f(X126,X127,X128)
    | f(X127,z(X127,X126,z(X126,X127,X128)),X126) ),
    inference(resolution,status(thm),[clause6,clause8]) ).

cnf(c247,plain,
    ( f(X456,X455,X457)
    | f(X455,z(X455,X456,z(X456,X455,X457)),X456)
    | f(X456,X457,z(X457,X456,X455)) ),
    inference(resolution,status(thm),[c37,clause4]) ).

cnf(c3629,plain,
    ( f(X711,z(X711,X709,z(X709,X711,X710)),X709)
    | f(X709,X710,z(X710,X709,X711))
    | ~ f(X710,X709,X711) ),
    inference(resolution,status(thm),[c247,clause5]) ).

cnf(c8511,plain,
    ( f(X713,z(X713,X712,z(X712,X713,X714)),X712)
    | f(X712,X714,z(X714,X712,X713)) ),
    inference(resolution,status(thm),[c3629,c269]) ).

cnf(c8687,plain,
    ( f(X896,X897,z(X897,X896,X895))
    | ~ f(X896,z(X896,X895,X897),X895)
    | f(X895,X896,z(X896,X895,X897)) ),
    inference(resolution,status(thm),[c8511,clause6]) ).

cnf(c9653,plain,
    ( f(z(a,a,X779),a,a)
    | f(a,a,z(a,a,X779)) ),
    inference(resolution,status(thm),[c9462,c5193]) ).

cnf(clause11,negated_conjecture,
    ( f(X57,X56,X58)
    | f(X58,X57,X56)
    | ~ f(z(X58,X57,X56),X57,X58) ),
    input ).

cnf(c10310,plain,
    ( f(a,a,z(a,a,X939))
    | f(a,X939,a)
    | f(a,a,X939) ),
    inference(resolution,status(thm),[c9653,clause11]) ).

cnf(c13318,plain,
    ( f(a,X940,a)
    | f(a,a,X940)
    | ~ f(X940,a,a) ),
    inference(resolution,status(thm),[c10310,clause2]) ).

cnf(c13527,plain,
    ( f(a,z(a,a,X944),a)
    | f(a,a,z(a,a,X944)) ),
    inference(resolution,status(thm),[c13318,c9653]) ).

cnf(c13577,plain,
    ( f(a,a,z(a,a,X947))
    | f(a,X947,z(X947,a,a)) ),
    inference(resolution,status(thm),[c13527,c8687]) ).

cnf(c13964,plain,
    ( f(a,X965,z(X965,a,a))
    | ~ f(X965,a,a)
    | f(a,a,X965) ),
    inference(resolution,status(thm),[c13577,clause2]) ).

cnf(c14472,plain,
    ( f(a,X966,z(X966,a,a))
    | f(a,a,X966) ),
    inference(resolution,status(thm),[c13964,c9612]) ).

cnf(c14533,plain,
    ( f(a,a,X970)
    | ~ f(a,X970,a) ),
    inference(resolution,status(thm),[c14472,clause3]) ).

cnf(c14882,plain,
    f(a,a,z(a,a,X971)),
    inference(resolution,status(thm),[c14533,c13527]) ).

cnf(c14920,plain,
    ( ~ f(X973,a,a)
    | f(a,X973,a) ),
    inference(resolution,status(thm),[c14882,clause3]) ).

cnf(c15091,plain,
    f(a,z(a,a,X975),a),
    inference(resolution,status(thm),[c14920,c5193]) ).

cnf(c15137,plain,
    ( ~ f(a,X977,a)
    | f(X977,a,a) ),
    inference(resolution,status(thm),[c15091,clause7]) ).

cnf(c15275,plain,
    f(z(a,a,X978),a,a),
    inference(resolution,status(thm),[c15137,c15091]) ).

cnf(c15290,plain,
    ( f(a,X985,a)
    | f(a,a,X985) ),
    inference(resolution,status(thm),[c15275,clause11]) ).

cnf(c15531,plain,
    f(a,a,X989),
    inference(resolution,status(thm),[c15290,c14533]) ).

cnf(c15839,plain,
    ( ~ f(X1028,X1030,X1029)
    | f(X1030,X1029,X1028)
    | f(X1029,X1028,X1030) ),
    inference(resolution,status(thm),[c15531,clause1]) ).

cnf(c17240,plain,
    ( f(X1158,X1159,X1157)
    | f(X1159,X1157,X1158)
    | f(X1159,z(X1159,X1157,X1158),X1157) ),
    inference(resolution,status(thm),[c15839,clause8]) ).

cnf(c17211,plain,
    ( f(X1043,X1044,z(X1044,X1043,X1045))
    | f(X1044,z(X1044,X1043,X1045),X1043) ),
    inference(resolution,status(thm),[c15839,c959]) ).

cnf(c17518,plain,
    ( f(X1183,z(X1183,X1184,X1182),X1184)
    | ~ f(X1182,X1183,X1184)
    | f(X1183,X1184,X1182) ),
    inference(resolution,status(thm),[c17211,clause2]) ).

cnf(c20914,plain,
    ( f(X1185,z(X1185,X1186,X1187),X1186)
    | f(X1185,X1186,X1187) ),
    inference(resolution,status(thm),[c17518,c17240]) ).

cnf(c20925,plain,
    ( f(X1191,X1192,X1193)
    | ~ f(X1192,X1193,X1191) ),
    inference(resolution,status(thm),[c20914,clause6]) ).

cnf(c17267,plain,
    ( f(z(X1049,X1048,X1050),X1048,X1049)
    | f(X1048,X1049,z(X1049,X1048,X1050)) ),
    inference(resolution,status(thm),[c15839,c959]) ).

cnf(c21343,plain,
    f(z(X1203,X1205,X1204),X1205,X1203),
    inference(resolution,status(thm),[c20925,c17267]) ).

cnf(c21603,plain,
    ( f(X1243,X1242,X1241)
    | f(X1241,X1243,X1242) ),
    inference(resolution,status(thm),[c21343,clause11]) ).

cnf(c21658,plain,
    f(X1250,X1249,X1248),
    inference(resolution,status(thm),[c21603,c20925]) ).

cnf(clause17,negated_conjecture,
    ( ~ f(X107,X106,X105)
    | ~ f(X106,X105,X107)
    | ~ f(X105,X107,X106)
    | ~ f(z(X107,X106,X105),z(X107,X106,X105),z(X107,X106,X105)) ),
    input ).

cnf(c21655,plain,
    f(X1247,X1247,X1247),
    inference(factor,status(thm),[c21603]) ).

cnf(c21662,plain,
    ( ~ f(X1319,X1318,X1320)
    | ~ f(X1318,X1320,X1319)
    | ~ f(X1320,X1319,X1318) ),
    inference(resolution,status(thm),[c21655,clause17]) ).

cnf(c21666,plain,
    ( ~ f(X1322,X1323,X1321)
    | ~ f(X1323,X1321,X1322) ),
    inference(resolution,status(thm),[c21662,c21658]) ).

cnf(c21667,plain,
    ~ f(X1326,X1324,X1325),
    inference(resolution,status(thm),[c21666,c21658]) ).

cnf(c21668,plain,
    $false,
    inference(resolution,status(thm),[c21667,c21658]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : SYN353-1 : TPTP v8.1.0. Released v1.2.0.
% 0.06/0.12  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.34  % Computer : n022.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Tue Jul 12 02:14:55 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 7.32/7.53  # Version:  1.3
% 7.32/7.53  # SZS status Unsatisfiable
% 7.32/7.53  # SZS output start CNFRefutation
% See solution above
% 7.32/7.53  
% 7.32/7.53  # Initial clauses    : 17
% 7.32/7.53  # Processed clauses  : 263
% 7.32/7.53  # Factors computed   : 45
% 7.32/7.53  # Resolvents computed: 21624
% 7.32/7.53  # Tautologies deleted: 23
% 7.32/7.53  # Forward subsumed   : 408
% 7.32/7.53  # Backward subsumed  : 261
% 7.32/7.53  # -------- CPU Time ---------
% 7.32/7.53  # User time          : 7.139 s
% 7.32/7.53  # System time        : 0.052 s
% 7.32/7.53  # Total time         : 7.191 s
%------------------------------------------------------------------------------