TSTP Solution File: SYN155-1 by PyRes---1.3

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : PyRes---1.3
% Problem  : SYN155-1 : TPTP v8.1.0. Released v1.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n019.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 11:25:55 EDT 2022

% Result   : Unsatisfiable 1.79s 2.00s
% Output   : Refutation 1.79s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named input)

% Comments : 
%------------------------------------------------------------------------------
cnf(prove_this,negated_conjecture,
    ~ n4(X4,a),
    input ).

cnf(rule_281,axiom,
    ( n4(X672,X671)
    | ~ p3(X672,X671,X671)
    | ~ n4(X672,X672) ),
    input ).

cnf(rule_129,axiom,
    ( k2(X128,X128)
    | ~ q1(X127,X128,X128) ),
    input ).

cnf(axiom_19,axiom,
    m0(X5,d,X6),
    input ).

cnf(rule_110,axiom,
    ( q1(X164,X164,X164)
    | ~ m0(X166,X165,X164) ),
    input ).

cnf(c208,plain,
    q1(X167,X167,X167),
    inference(resolution,status(thm),[rule_110,axiom_19]) ).

cnf(c210,plain,
    k2(X169,X169),
    inference(resolution,status(thm),[c208,rule_129]) ).

cnf(rule_186,axiom,
    ( q2(X136,X136,X135)
    | ~ l1(X135,X136) ),
    input ).

cnf(axiom_9,axiom,
    r0(b),
    input ).

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

cnf(rule_003,axiom,
    ( l1(X20,X19)
    | ~ p0(X21,X20)
    | ~ r0(X18)
    | ~ m0(X19,X20,X21) ),
    input ).

cnf(c23,plain,
    ( l1(d,X719)
    | ~ p0(X721,d)
    | ~ r0(X720) ),
    inference(resolution,status(thm),[rule_003,axiom_19]) ).

cnf(c864,plain,
    ( l1(d,X726)
    | ~ r0(X725) ),
    inference(resolution,status(thm),[c23,axiom_14]) ).

cnf(c865,plain,
    l1(d,X727),
    inference(resolution,status(thm),[c864,axiom_9]) ).

cnf(c868,plain,
    q2(X729,X729,d),
    inference(resolution,status(thm),[c865,rule_186]) ).

cnf(rule_241,axiom,
    ( p3(X809,X808,X810)
    | ~ q2(X807,d,X809)
    | ~ k2(X808,X810) ),
    input ).

cnf(c1011,plain,
    ( p3(d,X820,X819)
    | ~ k2(X820,X819) ),
    inference(resolution,status(thm),[rule_241,c868]) ).

cnf(c1024,plain,
    p3(d,X821,X821),
    inference(resolution,status(thm),[c1011,c210]) ).

cnf(c1031,plain,
    ( n4(d,X833)
    | ~ n4(d,d) ),
    inference(resolution,status(thm),[c1024,rule_281]) ).

cnf(axiom_21,axiom,
    q0(b,e),
    input ).

cnf(axiom_34,axiom,
    n0(c,d),
    input ).

cnf(rule_001,axiom,
    ( k1(X9)
    | ~ n0(X8,X9) ),
    input ).

cnf(c5,plain,
    k1(d),
    inference(resolution,status(thm),[rule_001,axiom_34]) ).

cnf(rule_005,axiom,
    ( m1(X29,X30,X29)
    | ~ m0(X30,X30,X29) ),
    input ).

cnf(c39,plain,
    m1(X31,d,X31),
    inference(resolution,status(thm),[rule_005,axiom_19]) ).

cnf(rule_127,axiom,
    ( k2(X525,X524)
    | ~ m1(X526,X524,X525)
    | ~ k1(X523)
    | ~ k2(X523,X524) ),
    input ).

cnf(c537,plain,
    ( k2(X895,d)
    | ~ k1(X894)
    | ~ k2(X894,d) ),
    inference(resolution,status(thm),[rule_127,c39]) ).

cnf(c1116,plain,
    ( k2(X896,d)
    | ~ k1(d) ),
    inference(resolution,status(thm),[c537,c210]) ).

cnf(c1119,plain,
    k2(X897,d),
    inference(resolution,status(thm),[c1116,c5]) ).

cnf(rule_202,axiom,
    ( k3(X711,X711,X707)
    | ~ q0(X710,X707)
    | ~ k2(X711,X709)
    | ~ k3(X707,X708,X709) ),
    input ).

cnf(axiom_1,axiom,
    s0(d),
    input ).

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

cnf(rule_002,axiom,
    ( l1(X17,X17)
    | ~ n0(X16,X17) ),
    input ).

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

cnf(rule_135,axiom,
    ( m2(X196)
    | ~ s0(X196)
    | ~ l1(X195,X197) ),
    input ).

cnf(c225,plain,
    ( m2(X198)
    | ~ s0(X198) ),
    inference(resolution,status(thm),[rule_135,c15]) ).

cnf(c230,plain,
    m2(d),
    inference(resolution,status(thm),[c225,axiom_1]) ).

cnf(rule_201,axiom,
    ( k3(X701,X701,X703)
    | ~ p1(X703,X702,X701)
    | ~ m2(X704)
    | ~ m2(X702) ),
    input ).

cnf(rule_082,axiom,
    ( p1(X370,X373,X371)
    | ~ m0(X371,X370,X372)
    | ~ p1(X371,X370,X372) ),
    input ).

cnf(axiom_12,axiom,
    m0(a,X7,a),
    input ).

cnf(rule_085,axiom,
    ( p1(X103,X103,X103)
    | ~ p0(X104,X103) ),
    input ).

cnf(c127,plain,
    p1(X105,X105,X105),
    inference(resolution,status(thm),[rule_085,axiom_14]) ).

cnf(c397,plain,
    ( p1(X377,X376,X377)
    | ~ m0(X377,X377,X377) ),
    inference(resolution,status(thm),[rule_082,c127]) ).

cnf(c407,plain,
    p1(a,X378,a),
    inference(resolution,status(thm),[c397,axiom_12]) ).

cnf(c410,plain,
    ( p1(X778,X779,a)
    | ~ m0(a,X778,a) ),
    inference(resolution,status(thm),[c407,rule_082]) ).

cnf(c945,plain,
    p1(X781,X780,a),
    inference(resolution,status(thm),[c410,axiom_12]) ).

cnf(c949,plain,
    ( p1(X783,X784,X785)
    | ~ m0(X785,X783,a) ),
    inference(resolution,status(thm),[c945,rule_082]) ).

cnf(c953,plain,
    p1(d,X789,X788),
    inference(resolution,status(thm),[c949,axiom_19]) ).

cnf(c955,plain,
    ( k3(X837,X837,d)
    | ~ m2(X839)
    | ~ m2(X838) ),
    inference(resolution,status(thm),[c953,rule_201]) ).

cnf(c1050,plain,
    ( k3(X841,X841,d)
    | ~ m2(X840) ),
    inference(resolution,status(thm),[c955,c230]) ).

cnf(c1052,plain,
    k3(X842,X842,d),
    inference(resolution,status(thm),[c1050,c230]) ).

cnf(c1055,plain,
    ( k3(X1309,X1309,X1308)
    | ~ q0(X1310,X1308)
    | ~ k2(X1309,d) ),
    inference(resolution,status(thm),[c1052,rule_202]) ).

cnf(c1625,plain,
    ( k3(X1312,X1312,X1313)
    | ~ q0(X1311,X1313) ),
    inference(resolution,status(thm),[c1055,c1119]) ).

cnf(c1629,plain,
    k3(X1319,X1319,e),
    inference(resolution,status(thm),[c1625,axiom_21]) ).

cnf(rule_092,axiom,
    ( q1(X413,X412,X413)
    | ~ n0(X410,X412)
    | ~ p0(X411,X413) ),
    input ).

cnf(c442,plain,
    ( q1(X416,X415,X416)
    | ~ n0(X414,X415) ),
    inference(resolution,status(thm),[rule_092,axiom_14]) ).

cnf(c450,plain,
    q1(X426,d,X426),
    inference(resolution,status(thm),[c442,axiom_34]) ).

cnf(rule_282,axiom,
    ( n4(d,d)
    | ~ k3(c,c,e)
    | ~ q1(d,d,d) ),
    input ).

cnf(c1173,plain,
    ( n4(d,d)
    | ~ k3(c,c,e) ),
    inference(resolution,status(thm),[rule_282,c450]) ).

cnf(c1906,plain,
    n4(d,d),
    inference(resolution,status(thm),[c1173,c1629]) ).

cnf(c1908,plain,
    n4(d,X1473),
    inference(resolution,status(thm),[c1906,c1031]) ).

cnf(c1910,plain,
    $false,
    inference(resolution,status(thm),[c1908,prove_this]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SYN155-1 : TPTP v8.1.0. Released v1.1.0.
% 0.11/0.13  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.34  % Computer : n019.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Tue Jul 12 01:25:08 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 1.79/2.00  # Version:  1.3
% 1.79/2.00  # SZS status Unsatisfiable
% 1.79/2.00  # SZS output start CNFRefutation
% See solution above
% 1.79/2.00  
% 1.79/2.00  # Initial clauses    : 369
% 1.79/2.00  # Processed clauses  : 1103
% 1.79/2.00  # Factors computed   : 0
% 1.79/2.00  # Resolvents computed: 1911
% 1.79/2.00  # Tautologies deleted: 16
% 1.79/2.00  # Forward subsumed   : 858
% 1.79/2.00  # Backward subsumed  : 496
% 1.79/2.00  # -------- CPU Time ---------
% 1.79/2.00  # User time          : 1.624 s
% 1.79/2.00  # System time        : 0.013 s
% 1.79/2.00  # Total time         : 1.637 s
%------------------------------------------------------------------------------