TSTP Solution File: SYN254-1 by PyRes---1.3

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : PyRes---1.3
% Problem  : SYN254-1 : TPTP v8.1.0. Released v1.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %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 11:26:35 EDT 2022

% Result   : Unsatisfiable 2.14s 2.34s
% Output   : Refutation 2.14s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named input)

% Comments : 
%------------------------------------------------------------------------------
cnf(prove_this,negated_conjecture,
    ~ m4(e,b),
    input ).

cnf(axiom_14,axiom,
    p0(b,X2),
    input ).

cnf(rule_125,axiom,
    ( s1(X9)
    | ~ p0(X9,X9) ),
    input ).

cnf(c8,plain,
    s1(b),
    inference(resolution,status(thm),[rule_125,axiom_14]) ).

cnf(axiom_17,axiom,
    q0(X3,d),
    input ).

cnf(rule_126,axiom,
    ( s1(X182)
    | ~ q0(X182,X180)
    | ~ s1(X181) ),
    input ).

cnf(c221,plain,
    ( s1(X183)
    | ~ s1(X184) ),
    inference(resolution,status(thm),[rule_126,axiom_17]) ).

cnf(c222,plain,
    s1(X185),
    inference(resolution,status(thm),[c221,c8]) ).

cnf(axiom_19,axiom,
    m0(X5,d,X4),
    input ).

cnf(rule_133,axiom,
    ( l2(X543,X543)
    | ~ p0(X540,X540)
    | ~ s1(X542)
    | ~ m0(X541,X542,X543) ),
    input ).

cnf(c563,plain,
    ( l2(X562,X562)
    | ~ p0(X561,X561)
    | ~ s1(d) ),
    inference(resolution,status(thm),[rule_133,axiom_19]) ).

cnf(c632,plain,
    ( l2(X563,X563)
    | ~ s1(d) ),
    inference(resolution,status(thm),[c563,axiom_14]) ).

cnf(c633,plain,
    l2(X564,X564),
    inference(resolution,status(thm),[c632,c222]) ).

cnf(rule_279,axiom,
    ( m4(X672,X671)
    | ~ l2(X670,X671)
    | ~ s3(a,X672) ),
    input ).

cnf(rule_085,axiom,
    ( p1(X102,X102,X102)
    | ~ p0(X103,X102) ),
    input ).

cnf(c128,plain,
    p1(X104,X104,X104),
    inference(resolution,status(thm),[rule_085,axiom_14]) ).

cnf(rule_181,axiom,
    ( q2(X228,X228,X228)
    | ~ p1(X228,X228,X228) ),
    input ).

cnf(c269,plain,
    q2(X229,X229,X229),
    inference(resolution,status(thm),[rule_181,c128]) ).

cnf(rule_273,axiom,
    ( s3(X901,X903)
    | ~ q2(X900,X901,X900)
    | ~ s2(X901)
    | ~ m0(X900,X902,X903) ),
    input ).

cnf(c1142,plain,
    ( s3(X909,X908)
    | ~ q2(X907,X909,X907)
    | ~ s2(X909) ),
    inference(resolution,status(thm),[rule_273,axiom_19]) ).

cnf(c1154,plain,
    ( s3(X910,X911)
    | ~ s2(X910) ),
    inference(resolution,status(thm),[c1142,c269]) ).

cnf(rule_189,axiom,
    ( s2(X683)
    | ~ q2(b,X683,b)
    | ~ s1(b) ),
    input ).

cnf(rule_069,axiom,
    ( p1(X96,X96,X97)
    | ~ p0(X97,X96) ),
    input ).

cnf(c121,plain,
    p1(X98,X98,b),
    inference(resolution,status(thm),[rule_069,axiom_14]) ).

cnf(axiom_20,axiom,
    l0(a),
    input ).

cnf(axiom_37,axiom,
    n0(b,a),
    input ).

cnf(rule_002,axiom,
    ( l1(X15,X15)
    | ~ n0(X16,X15) ),
    input ).

cnf(c15,plain,
    l1(a,a),
    inference(resolution,status(thm),[rule_002,axiom_37]) ).

cnf(rule_054,axiom,
    ( n1(X248,X247,X247)
    | ~ l0(X246)
    | ~ l1(X246,X248)
    | ~ n1(X248,X247,X248) ),
    input ).

cnf(axiom_5,axiom,
    s0(b),
    input ).

cnf(rule_050,axiom,
    ( n1(X223,X224,X223)
    | ~ s0(b)
    | ~ l0(X223)
    | ~ p0(b,X224) ),
    input ).

cnf(c259,plain,
    ( n1(X471,X470,X471)
    | ~ s0(b)
    | ~ l0(X471) ),
    inference(resolution,status(thm),[rule_050,axiom_14]) ).

cnf(c488,plain,
    ( n1(a,X472,a)
    | ~ s0(b) ),
    inference(resolution,status(thm),[c259,axiom_20]) ).

cnf(c490,plain,
    n1(a,X473,a),
    inference(resolution,status(thm),[c488,axiom_5]) ).

cnf(c491,plain,
    ( n1(a,X1169,X1169)
    | ~ l0(X1168)
    | ~ l1(X1168,a) ),
    inference(resolution,status(thm),[c490,rule_054]) ).

cnf(c1410,plain,
    ( n1(a,X1171,X1171)
    | ~ l0(a) ),
    inference(resolution,status(thm),[c491,c15]) ).

cnf(c1411,plain,
    n1(a,X1172,X1172),
    inference(resolution,status(thm),[c1410,axiom_20]) ).

cnf(axiom_32,axiom,
    k0(b),
    input ).

cnf(rule_177,axiom,
    ( q2(X506,X505,X505)
    | ~ k0(X505)
    | ~ p1(X506,X506,X506) ),
    input ).

cnf(c516,plain,
    ( q2(X507,X508,X508)
    | ~ k0(X508) ),
    inference(resolution,status(thm),[rule_177,c128]) ).

cnf(c520,plain,
    q2(X511,b,b),
    inference(resolution,status(thm),[c516,axiom_32]) ).

cnf(rule_182,axiom,
    ( q2(X659,X657,X659)
    | ~ p1(X659,X659,X658)
    | ~ n1(X657,X659,X658)
    | ~ q2(X657,X658,X659) ),
    input ).

cnf(c754,plain,
    ( q2(b,X1469,b)
    | ~ p1(b,b,b)
    | ~ n1(X1469,b,b) ),
    inference(resolution,status(thm),[rule_182,c520]) ).

cnf(c1908,plain,
    ( q2(b,a,b)
    | ~ p1(b,b,b) ),
    inference(resolution,status(thm),[c754,c1411]) ).

cnf(c2247,plain,
    q2(b,a,b),
    inference(resolution,status(thm),[c1908,c121]) ).

cnf(c2251,plain,
    ( s2(a)
    | ~ s1(b) ),
    inference(resolution,status(thm),[c2247,rule_189]) ).

cnf(c2254,plain,
    s2(a),
    inference(resolution,status(thm),[c2251,c222]) ).

cnf(c2255,plain,
    s3(a,X1870),
    inference(resolution,status(thm),[c2254,c1154]) ).

cnf(c2260,plain,
    ( m4(X1871,X1872)
    | ~ l2(X1873,X1872) ),
    inference(resolution,status(thm),[c2255,rule_279]) ).

cnf(c2267,plain,
    m4(X1874,X1875),
    inference(resolution,status(thm),[c2260,c633]) ).

cnf(c2270,plain,
    $false,
    inference(resolution,status(thm),[c2267,prove_this]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12  % Problem  : SYN254-1 : TPTP v8.1.0. Released v1.1.0.
% 0.08/0.13  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.34  % Computer : n026.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 05:55:57 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 2.14/2.34  # Version:  1.3
% 2.14/2.34  # SZS status Unsatisfiable
% 2.14/2.34  # SZS output start CNFRefutation
% See solution above
% 2.14/2.34  
% 2.14/2.34  # Initial clauses    : 369
% 2.14/2.34  # Processed clauses  : 1298
% 2.14/2.34  # Factors computed   : 0
% 2.14/2.34  # Resolvents computed: 2272
% 2.14/2.34  # Tautologies deleted: 20
% 2.14/2.34  # Forward subsumed   : 1228
% 2.14/2.34  # Backward subsumed  : 600
% 2.14/2.34  # -------- CPU Time ---------
% 2.14/2.34  # User time          : 1.975 s
% 2.14/2.34  # System time        : 0.020 s
% 2.14/2.34  # Total time         : 1.995 s
%------------------------------------------------------------------------------