TSTP Solution File: SYN180-1 by PyRes---1.3

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : PyRes---1.3
% Problem  : SYN180-1 : TPTP v8.1.0. Released v1.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n024.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 11:26:05 EDT 2022

% Result   : Unsatisfiable 3.75s 3.93s
% Output   : Refutation 3.75s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named input)

% Comments : 
%------------------------------------------------------------------------------
cnf(prove_this,negated_conjecture,
    ~ q4(a,e),
    input ).

cnf(rule_194,axiom,
    ( k3(X142,X142,X141)
    | ~ k2(X141,X142) ),
    input ).

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

cnf(rule_001,axiom,
    ( k1(X7)
    | ~ n0(X8,X7) ),
    input ).

cnf(c2,plain,
    k1(d),
    inference(resolution,status(thm),[rule_001,axiom_34]) ).

cnf(rule_129,axiom,
    ( k2(X127,X127)
    | ~ q1(X126,X127,X127) ),
    input ).

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

cnf(rule_110,axiom,
    ( q1(X165,X165,X165)
    | ~ m0(X163,X164,X165) ),
    input ).

cnf(c203,plain,
    q1(X166,X166,X166),
    inference(resolution,status(thm),[rule_110,axiom_19]) ).

cnf(c210,plain,
    k2(X168,X168),
    inference(resolution,status(thm),[c203,rule_129]) ).

cnf(rule_005,axiom,
    ( m1(X29,X28,X29)
    | ~ m0(X28,X28,X29) ),
    input ).

cnf(c38,plain,
    m1(X30,d,X30),
    inference(resolution,status(thm),[rule_005,axiom_19]) ).

cnf(rule_127,axiom,
    ( k2(X520,X522)
    | ~ m1(X521,X522,X520)
    | ~ k1(X523)
    | ~ k2(X523,X522) ),
    input ).

cnf(c539,plain,
    ( k2(X922,d)
    | ~ k1(X921)
    | ~ k2(X921,d) ),
    inference(resolution,status(thm),[rule_127,c38]) ).

cnf(c1169,plain,
    ( k2(X923,d)
    | ~ k1(d) ),
    inference(resolution,status(thm),[c539,c210]) ).

cnf(c1172,plain,
    k2(X924,d),
    inference(resolution,status(thm),[c1169,c2]) ).

cnf(c1176,plain,
    k3(d,d,X925),
    inference(resolution,status(thm),[c1172,rule_194]) ).

cnf(rule_236,axiom,
    ( m3(X41,X41,X41)
    | ~ n2(X41) ),
    input ).

cnf(rule_137,axiom,
    ( n2(X34)
    | ~ p1(X33,X32,X34) ),
    input ).

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

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

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

cnf(c129,plain,
    n2(X108),
    inference(resolution,status(thm),[c128,rule_137]) ).

cnf(c131,plain,
    m3(X112,X112,X112),
    inference(resolution,status(thm),[c129,rule_236]) ).

cnf(rule_295,axiom,
    ( q4(X985,X982)
    | ~ k3(X984,X984,X985)
    | ~ q2(X983,X982,X985)
    | ~ m3(X983,X986,X983) ),
    input ).

cnf(c1222,plain,
    ( q4(X1475,X1473)
    | ~ k3(X1472,X1472,X1475)
    | ~ q2(X1474,X1473,X1475) ),
    inference(resolution,status(thm),[rule_295,c131]) ).

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

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

cnf(axiom_13,axiom,
    r0(e),
    input ).

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

cnf(rule_015,axiom,
    ( m1(X78,X76,X76)
    | ~ l0(X77)
    | ~ m0(X76,X76,X78) ),
    input ).

cnf(c74,plain,
    ( m1(X267,d,d)
    | ~ l0(X268) ),
    inference(resolution,status(thm),[rule_015,axiom_19]) ).

cnf(c306,plain,
    m1(X269,d,d),
    inference(resolution,status(thm),[c74,axiom_20]) ).

cnf(rule_113,axiom,
    ( q1(X479,X479,X478)
    | ~ r0(X480)
    | ~ m1(X479,X478,X478) ),
    input ).

cnf(c495,plain,
    ( q1(X484,X484,d)
    | ~ r0(X483) ),
    inference(resolution,status(thm),[rule_113,c306]) ).

cnf(c501,plain,
    q1(X485,X485,d),
    inference(resolution,status(thm),[c495,axiom_13]) ).

cnf(rule_124,axiom,
    ( r1(X518)
    | ~ q0(X518,X517)
    | ~ s0(d)
    | ~ q1(d,X517,d) ),
    input ).

cnf(c524,plain,
    ( r1(X529)
    | ~ q0(X529,d)
    | ~ s0(d) ),
    inference(resolution,status(thm),[rule_124,c501]) ).

cnf(c547,plain,
    ( r1(X530)
    | ~ s0(d) ),
    inference(resolution,status(thm),[c524,axiom_17]) ).

cnf(c548,plain,
    r1(X531),
    inference(resolution,status(thm),[c547,axiom_1]) ).

cnf(axiom_28,axiom,
    k0(e),
    input ).

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_187,axiom,
    ( q2(X676,X678,X676)
    | ~ r1(X678)
    | ~ m0(X677,X679,X676)
    | ~ k0(X678)
    | ~ q2(X678,X678,X678) ),
    input ).

cnf(c770,plain,
    ( q2(X1482,X1480,X1482)
    | ~ r1(X1480)
    | ~ m0(X1483,X1481,X1482)
    | ~ k0(X1480) ),
    inference(resolution,status(thm),[rule_187,c269]) ).

cnf(c1945,plain,
    ( q2(X1506,X1507,X1506)
    | ~ r1(X1507)
    | ~ k0(X1507) ),
    inference(resolution,status(thm),[c770,axiom_19]) ).

cnf(c1966,plain,
    ( q2(X1508,e,X1508)
    | ~ r1(e) ),
    inference(resolution,status(thm),[c1945,axiom_28]) ).

cnf(c1968,plain,
    q2(X1509,e,X1509),
    inference(resolution,status(thm),[c1966,c548]) ).

cnf(c1972,plain,
    ( q4(X1518,e)
    | ~ k3(X1517,X1517,X1518) ),
    inference(resolution,status(thm),[c1968,c1222]) ).

cnf(c1993,plain,
    q4(X1519,e),
    inference(resolution,status(thm),[c1972,c1176]) ).

cnf(c2007,plain,
    $false,
    inference(resolution,status(thm),[c1993,prove_this]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09  % Problem  : SYN180-1 : TPTP v8.1.0. Released v1.1.0.
% 0.08/0.09  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.09/0.28  % Computer : n024.cluster.edu
% 0.09/0.28  % Model    : x86_64 x86_64
% 0.09/0.28  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.28  % Memory   : 8042.1875MB
% 0.09/0.28  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.28  % CPULimit : 300
% 0.09/0.28  % WCLimit  : 600
% 0.09/0.28  % DateTime : Mon Jul 11 23:22:28 EDT 2022
% 0.09/0.28  % CPUTime  : 
% 3.75/3.93  # Version:  1.3
% 3.75/3.93  # SZS status Unsatisfiable
% 3.75/3.93  # SZS output start CNFRefutation
% See solution above
% 3.75/3.93  
% 3.75/3.93  # Initial clauses    : 369
% 3.75/3.93  # Processed clauses  : 1139
% 3.75/3.93  # Factors computed   : 0
% 3.75/3.93  # Resolvents computed: 2008
% 3.75/3.93  # Tautologies deleted: 16
% 3.75/3.93  # Forward subsumed   : 888
% 3.75/3.93  # Backward subsumed  : 514
% 3.75/3.93  # -------- CPU Time ---------
% 3.75/3.93  # User time          : 3.623 s
% 3.75/3.93  # System time        : 0.011 s
% 3.75/3.93  # Total time         : 3.634 s
%------------------------------------------------------------------------------