TSTP Solution File: SYN163-1 by PyRes---1.3

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : PyRes---1.3
% Problem  : SYN163-1 : TPTP v8.1.0. Released v1.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n028.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 11:25:58 EDT 2022

% Result   : Unsatisfiable 2.23s 2.46s
% Output   : Refutation 2.23s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named input)

% Comments : 
%------------------------------------------------------------------------------
cnf(prove_this,negated_conjecture,
    ~ n5(e,a),
    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(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(X163,X163,X163)
    | ~ m0(X165,X164,X163) ),
    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(X28,X29,X28)
    | ~ m0(X29,X29,X28) ),
    input ).

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

cnf(rule_127,axiom,
    ( k2(X522,X520)
    | ~ m1(X523,X520,X522)
    | ~ k1(X521)
    | ~ k2(X521,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(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_236,axiom,
    ( m3(X41,X41,X41)
    | ~ n2(X41) ),
    input ).

cnf(rule_137,axiom,
    ( n2(X33)
    | ~ p1(X32,X34,X33) ),
    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(X985,X986)
    | ~ k3(X983,X983,X985)
    | ~ q2(X984,X986,X985)
    | ~ m3(X984,X982,X984) ),
    input ).

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

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

cnf(c1935,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(X47,X46,X45) ),
    input ).

cnf(rule_006,axiom,
    ( m1(X36,X36,X36)
    | ~ m0(X35,X35,X36) ),
    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(X647,X646)
    | ~ q2(X645,X647,X646)
    | ~ n0(X645,X647) ),
    input ).

cnf(rule_186,axiom,
    ( q2(X135,X135,X134)
    | ~ l1(X134,X135) ),
    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(X19,X17)
    | ~ p0(X20,X19)
    | ~ r0(X18)
    | ~ m0(X17,X19,X20) ),
    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_26,axiom,
    n0(d,c),
    input ).

cnf(axiom_24,axiom,
    l0(c),
    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(X180)
    | ~ q0(X180,X182)
    | ~ s1(X181) ),
    input ).

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

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

cnf(rule_133,axiom,
    ( l2(X541,X541)
    | ~ p0(X540,X540)
    | ~ s1(X543)
    | ~ m0(X542,X543,X541) ),
    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_183,axiom,
    ( q2(X663,c,X664)
    | ~ k1(X664)
    | ~ l0(c)
    | ~ l2(X664,X663) ),
    input ).

cnf(c761,plain,
    ( q2(X979,c,X979)
    | ~ k1(X979)
    | ~ l0(c) ),
    inference(resolution,status(thm),[rule_183,c633]) ).

cnf(c1204,plain,
    ( q2(X980,c,X980)
    | ~ k1(X980) ),
    inference(resolution,status(thm),[c761,axiom_24]) ).

cnf(c1207,plain,
    q2(d,c,d),
    inference(resolution,status(thm),[c1204,c2]) ).

cnf(c1216,plain,
    ( q3(c,d)
    | ~ n0(d,c) ),
    inference(resolution,status(thm),[c1207,rule_255]) ).

cnf(c1237,plain,
    q3(c,d),
    inference(resolution,status(thm),[c1216,axiom_26]) ).

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

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

cnf(c1244,plain,
    ( r4(X998)
    | ~ n3(X998) ),
    inference(resolution,status(thm),[c1243,c1237]) ).

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(X249,X250,X249)
    | ~ k3(X249,X249,X250) ),
    input ).

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

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

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

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

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

cnf(c2240,plain,
    n5(X1824,X1825),
    inference(resolution,status(thm),[c2236,c1935]) ).

cnf(c2247,plain,
    $false,
    inference(resolution,status(thm),[c2240,prove_this]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : SYN163-1 : TPTP v8.1.0. Released v1.1.0.
% 0.06/0.13  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.33  % Computer : n028.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Tue Jul 12 04:09:14 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 2.23/2.46  # Version:  1.3
% 2.23/2.46  # SZS status Unsatisfiable
% 2.23/2.46  # SZS output start CNFRefutation
% See solution above
% 2.23/2.46  
% 2.23/2.46  # Initial clauses    : 369
% 2.23/2.46  # Processed clauses  : 1287
% 2.23/2.46  # Factors computed   : 0
% 2.23/2.46  # Resolvents computed: 2248
% 2.23/2.46  # Tautologies deleted: 20
% 2.23/2.46  # Forward subsumed   : 1190
% 2.23/2.46  # Backward subsumed  : 595
% 2.23/2.46  # -------- CPU Time ---------
% 2.23/2.46  # User time          : 2.078 s
% 2.23/2.46  # System time        : 0.032 s
% 2.23/2.46  # Total time         : 2.110 s
%------------------------------------------------------------------------------