TSTP Solution File: SYN159-1 by PyRes---1.3

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : PyRes---1.3
% Problem  : SYN159-1 : TPTP v8.1.0. Released v1.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n023.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 11:25:57 EDT 2022

% Result   : Unsatisfiable 2.45s 2.62s
% Output   : Refutation 2.45s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named input)

% Comments : 
%------------------------------------------------------------------------------
cnf(prove_this,negated_conjecture,
    ~ n5(a,e),
    input ).

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

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

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

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

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

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

cnf(rule_110,axiom,
    ( q1(X165,X165,X165)
    | ~ m0(X164,X163,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(X521,X520)
    | ~ m1(X522,X520,X521)
    | ~ k1(X523)
    | ~ k2(X523,X520) ),
    input ).

cnf(c538,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),[c538,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(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(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_236,axiom,
    ( m3(X41,X41,X41)
    | ~ n2(X41) ),
    input ).

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

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(X983,X986)
    | ~ k3(X985,X985,X983)
    | ~ q2(X984,X986,X983)
    | ~ m3(X984,X982,X984) ),
    input ).

cnf(c1221,plain,
    ( q4(X1475,X1473)
    | ~ k3(X1474,X1474,X1475)
    | ~ q2(X1472,X1473,X1475) ),
    inference(resolution,status(thm),[rule_295,c131]) ).

cnf(c1925,plain,
    ( q4(X1476,X1476)
    | ~ k3(X1477,X1477,X1476) ),
    inference(resolution,status(thm),[c1221,c269]) ).

cnf(c1936,plain,
    q4(X1478,X1478),
    inference(resolution,status(thm),[c1925,c1176]) ).

cnf(rule_284,axiom,
    ( n4(X390,X390)
    | ~ k4(X389)
    | ~ m3(X390,X390,X390) ),
    input ).

cnf(c414,plain,
    ( n4(X391,X391)
    | ~ k4(X392) ),
    inference(resolution,status(thm),[rule_284,c131]) ).

cnf(rule_240,axiom,
    ( n3(X45)
    | ~ p2(X46,X47,X45) ),
    input ).

cnf(rule_006,axiom,
    ( m1(X35,X35,X35)
    | ~ m0(X36,X36,X35) ),
    input ).

cnf(c44,plain,
    m1(X37,X37,X37),
    inference(resolution,status(thm),[rule_006,axiom_19]) ).

cnf(rule_150,axiom,
    ( p2(X209,X209,X209)
    | ~ m1(X210,X210,X209) ),
    input ).

cnf(c246,plain,
    p2(X211,X211,X211),
    inference(resolution,status(thm),[rule_150,c44]) ).

cnf(c249,plain,
    n3(X212),
    inference(resolution,status(thm),[c246,rule_240]) ).

cnf(rule_274,axiom,
    ( k4(c)
    | ~ n0(c,d)
    | ~ q3(e,b)
    | ~ n3(e) ),
    input ).

cnf(axiom_30,axiom,
    n0(e,e),
    input ).

cnf(rule_255,axiom,
    ( q3(X646,X647)
    | ~ q2(X645,X646,X647)
    | ~ n0(X645,X646) ),
    input ).

cnf(rule_186,axiom,
    ( q2(X134,X134,X135)
    | ~ l1(X135,X134) ),
    input ).

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

cnf(axiom_18,axiom,
    p0(c,b),
    input ).

cnf(axiom_27,axiom,
    m0(e,b,c),
    input ).

cnf(rule_003,axiom,
    ( l1(X18,X17)
    | ~ p0(X19,X18)
    | ~ r0(X20)
    | ~ m0(X17,X18,X19) ),
    input ).

cnf(c24,plain,
    ( l1(b,e)
    | ~ p0(c,b)
    | ~ r0(X1106) ),
    inference(resolution,status(thm),[rule_003,axiom_27]) ).

cnf(c1343,plain,
    ( l1(b,e)
    | ~ r0(X1107) ),
    inference(resolution,status(thm),[c24,axiom_18]) ).

cnf(c1344,plain,
    l1(b,e),
    inference(resolution,status(thm),[c1343,axiom_13]) ).

cnf(c1346,plain,
    q2(e,e,b),
    inference(resolution,status(thm),[c1344,rule_186]) ).

cnf(c1348,plain,
    ( q3(e,b)
    | ~ n0(e,e) ),
    inference(resolution,status(thm),[c1346,rule_255]) ).

cnf(c1352,plain,
    q3(e,b),
    inference(resolution,status(thm),[c1348,axiom_30]) ).

cnf(c1353,plain,
    ( k4(c)
    | ~ n0(c,d)
    | ~ n3(e) ),
    inference(resolution,status(thm),[c1352,rule_274]) ).

cnf(c2052,plain,
    ( k4(c)
    | ~ n3(e) ),
    inference(resolution,status(thm),[c1353,axiom_34]) ).

cnf(c2053,plain,
    k4(c),
    inference(resolution,status(thm),[c2052,c249]) ).

cnf(c2056,plain,
    n4(X1582,X1582),
    inference(resolution,status(thm),[c2053,c414]) ).

cnf(rule_314,axiom,
    ( n5(X12,X12)
    | ~ r4(X12) ),
    input ).

cnf(axiom_24,axiom,
    l0(c),
    input ).

cnf(rule_188,axiom,
    ( r2(X140)
    | ~ r1(X140)
    | ~ l0(X140) ),
    input ).

cnf(c172,plain,
    ( r2(c)
    | ~ r1(c) ),
    inference(resolution,status(thm),[rule_188,axiom_24]) ).

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

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

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

cnf(rule_015,axiom,
    ( m1(X78,X77,X77)
    | ~ l0(X76)
    | ~ m0(X77,X77,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(X480,X480,X479)
    | ~ r0(X478)
    | ~ m1(X480,X479,X479) ),
    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(X517)
    | ~ q0(X517,X518)
    | ~ s0(d)
    | ~ q1(d,X518,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(c549,plain,
    r2(c),
    inference(resolution,status(thm),[c548,c172]) ).

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

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

cnf(rule_126,axiom,
    ( s1(X180)
    | ~ q0(X180,X181)
    | ~ s1(X182) ),
    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(rule_131,axiom,
    ( l2(X532,X533)
    | ~ s1(X532)
    | ~ n0(e,X533)
    | ~ l2(X533,X533) ),
    input ).

cnf(rule_133,axiom,
    ( l2(X540,X540)
    | ~ p0(X543,X543)
    | ~ s1(X542)
    | ~ m0(X541,X542,X540) ),
    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(c634,plain,
    ( l2(X577,X578)
    | ~ s1(X577)
    | ~ n0(e,X578) ),
    inference(resolution,status(thm),[c633,rule_131]) ).

cnf(c648,plain,
    ( l2(X579,e)
    | ~ s1(X579) ),
    inference(resolution,status(thm),[c634,axiom_30]) ).

cnf(c650,plain,
    l2(X580,e),
    inference(resolution,status(thm),[c648,c222]) ).

cnf(rule_258,axiom,
    ( q3(X845,X845)
    | ~ r2(X845)
    | ~ s1(X844)
    | ~ l2(X846,X846) ),
    input ).

cnf(c1072,plain,
    ( q3(X847,X847)
    | ~ r2(X847)
    | ~ s1(X848) ),
    inference(resolution,status(thm),[rule_258,c650]) ).

cnf(c1077,plain,
    ( q3(X851,X851)
    | ~ r2(X851) ),
    inference(resolution,status(thm),[c1072,c222]) ).

cnf(c1080,plain,
    q3(c,c),
    inference(resolution,status(thm),[c1077,c549]) ).

cnf(rule_298,axiom,
    ( r4(X993)
    | ~ n3(X993)
    | ~ q3(X994,X992)
    | ~ p0(X991,X993) ),
    input ).

cnf(c1243,plain,
    ( r4(X995)
    | ~ n3(X995)
    | ~ q3(X997,X996) ),
    inference(resolution,status(thm),[rule_298,axiom_14]) ).

cnf(c1244,plain,
    ( r4(X998)
    | ~ n3(X998) ),
    inference(resolution,status(thm),[c1243,c1080]) ).

cnf(c1253,plain,
    r4(X999),
    inference(resolution,status(thm),[c1244,c249]) ).

cnf(c1254,plain,
    n5(X1000,X1000),
    inference(resolution,status(thm),[c1253,rule_314]) ).

cnf(rule_210,axiom,
    ( k3(X39,X39,X39)
    | ~ n2(X39) ),
    input ).

cnf(c132,plain,
    k3(X115,X115,X115),
    inference(resolution,status(thm),[c129,rule_210]) ).

cnf(rule_287,axiom,
    ( p4(X250,X249,X250)
    | ~ k3(X250,X250,X249) ),
    input ).

cnf(c292,plain,
    p4(X251,X251,X251),
    inference(resolution,status(thm),[rule_287,c132]) ).

cnf(rule_307,axiom,
    ( n5(X1007,X1010)
    | ~ q4(X1009,X1008)
    | ~ n4(X1007,X1008)
    | ~ p4(X1006,X1006,X1010)
    | ~ n5(X1006,X1010) ),
    input ).

cnf(c1256,plain,
    ( n5(X1815,X1814)
    | ~ q4(X1816,X1813)
    | ~ n4(X1815,X1813)
    | ~ n5(X1814,X1814) ),
    inference(resolution,status(thm),[rule_307,c292]) ).

cnf(c2231,plain,
    ( n5(X1819,X1820)
    | ~ q4(X1817,X1818)
    | ~ n4(X1819,X1818) ),
    inference(resolution,status(thm),[c1256,c1254]) ).

cnf(c2236,plain,
    ( n5(X1821,X1823)
    | ~ q4(X1822,X1821) ),
    inference(resolution,status(thm),[c2231,c2056]) ).

cnf(c2241,plain,
    n5(X1824,X1825),
    inference(resolution,status(thm),[c2236,c1936]) ).

cnf(c2247,plain,
    $false,
    inference(resolution,status(thm),[c2241,prove_this]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SYN159-1 : TPTP v8.1.0. Released v1.1.0.
% 0.03/0.12  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.34  % Computer : n023.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 : Mon Jul 11 23:50:09 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 2.45/2.62  # Version:  1.3
% 2.45/2.62  # SZS status Unsatisfiable
% 2.45/2.62  # SZS output start CNFRefutation
% See solution above
% 2.45/2.62  
% 2.45/2.62  # Initial clauses    : 369
% 2.45/2.62  # Processed clauses  : 1287
% 2.45/2.62  # Factors computed   : 0
% 2.45/2.62  # Resolvents computed: 2248
% 2.45/2.62  # Tautologies deleted: 20
% 2.45/2.62  # Forward subsumed   : 1190
% 2.45/2.62  # Backward subsumed  : 595
% 2.45/2.62  # -------- CPU Time ---------
% 2.45/2.62  # User time          : 2.262 s
% 2.45/2.62  # System time        : 0.016 s
% 2.45/2.62  # Total time         : 2.278 s
%------------------------------------------------------------------------------