TSTP Solution File: SYN036-3 by PyRes---1.3

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : PyRes---1.3
% Problem  : SYN036-3 : TPTP v8.1.0. Released v1.0.0.
% 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 11:24:37 EDT 2022

% Result   : Unsatisfiable 0.82s 1.04s
% Output   : Refutation 0.82s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named input)

% Comments : 
%------------------------------------------------------------------------------
cnf(clause_23,negated_conjecture,
    ( ~ n1(X7)
    | n2 ),
    input ).

cnf(clause_25,negated_conjecture,
    ( ~ p(X21)
    | ~ p(s1(X21))
    | n1(X21) ),
    input ).

cnf(clause_10,negated_conjecture,
    ( ~ n8
    | p(X2) ),
    input ).

cnf(clause_9,negated_conjecture,
    ( ~ p(s8)
    | n8 ),
    input ).

cnf(clause_26,negated_conjecture,
    ( p(X24)
    | p(s1(X24))
    | n1(X24) ),
    input ).

cnf(clause_28,negated_conjecture,
    ( ~ n1(X29)
    | p(X29)
    | ~ p(X30) ),
    input ).

cnf(clause_12,negated_conjecture,
    ( ~ n7
    | p(s7) ),
    input ).

cnf(clause_11,negated_conjecture,
    ( ~ p(X3)
    | n7 ),
    input ).

cnf(c110,plain,
    ( p(X32)
    | n1(X32)
    | n7 ),
    inference(resolution,status(thm),[clause_26,clause_11]) ).

cnf(c141,plain,
    ( n1(X33)
    | n7 ),
    inference(resolution,status(thm),[c110,clause_11]) ).

cnf(c144,plain,
    ( n7
    | n2 ),
    inference(resolution,status(thm),[c141,clause_23]) ).

cnf(clause_21,negated_conjecture,
    ( ~ q(X6)
    | n3 ),
    input ).

cnf(clause_20,negated_conjecture,
    ( ~ n4
    | q(X5) ),
    input ).

cnf(clause_30,negated_conjecture,
    ( n3
    | n4
    | n9 ),
    input ).

cnf(c2,plain,
    ( n3
    | n9
    | q(X8) ),
    inference(resolution,status(thm),[clause_30,clause_20]) ).

cnf(c28,plain,
    ( n3
    | n9 ),
    inference(resolution,status(thm),[c2,clause_21]) ).

cnf(clause_1,negated_conjecture,
    ( ~ n2
    | ~ n9
    | ~ n6
    | ~ n10 ),
    input ).

cnf(clause_34,negated_conjecture,
    ( n7
    | n8
    | n10 ),
    input ).

cnf(c8,plain,
    ( n7
    | n10
    | p(X9) ),
    inference(resolution,status(thm),[clause_34,clause_10]) ).

cnf(c44,plain,
    ( n7
    | n10 ),
    inference(resolution,status(thm),[c8,clause_11]) ).

cnf(c51,plain,
    ( n7
    | ~ n2
    | ~ n9
    | ~ n6 ),
    inference(resolution,status(thm),[c44,clause_1]) ).

cnf(clause_13,negated_conjecture,
    ( ~ n5(X4)
    | n6 ),
    input ).

cnf(clause_16,negated_conjecture,
    ( q(X13)
    | q(s5(X13))
    | n5(X13) ),
    input ).

cnf(c65,plain,
    ( q(X16)
    | n5(X16)
    | n3 ),
    inference(resolution,status(thm),[clause_16,clause_21]) ).

cnf(c78,plain,
    ( n5(X17)
    | n3 ),
    inference(resolution,status(thm),[c65,clause_21]) ).

cnf(c83,plain,
    ( n3
    | n6 ),
    inference(resolution,status(thm),[c78,clause_13]) ).

cnf(c90,plain,
    ( n3
    | n7
    | ~ n2
    | ~ n9 ),
    inference(resolution,status(thm),[c83,c51]) ).

cnf(c119,plain,
    ( n3
    | n7
    | ~ n2 ),
    inference(resolution,status(thm),[c90,c28]) ).

cnf(c147,plain,
    ( n7
    | n3 ),
    inference(resolution,status(thm),[c144,c119]) ).

cnf(clause_35,negated_conjecture,
    ( ~ n7
    | n8
    | ~ n10 ),
    input ).

cnf(clause_24,negated_conjecture,
    ( ~ n2
    | n1(s2) ),
    input ).

cnf(clause_7,negated_conjecture,
    ( n2
    | ~ n9
    | ~ n6
    | n10 ),
    input ).

cnf(c93,plain,
    ( n3
    | n2
    | ~ n9
    | n10 ),
    inference(resolution,status(thm),[c83,clause_7]) ).

cnf(c123,plain,
    ( n3
    | n2
    | n10 ),
    inference(resolution,status(thm),[c93,c28]) ).

cnf(c131,plain,
    ( n3
    | n10
    | n1(s2) ),
    inference(resolution,status(thm),[c123,clause_24]) ).

cnf(clause_27,negated_conjecture,
    ( ~ n1(X27)
    | ~ p(X27)
    | p(X28) ),
    input ).

cnf(c150,plain,
    ( n3
    | p(s7) ),
    inference(resolution,status(thm),[c147,clause_12]) ).

cnf(c165,plain,
    ( n3
    | ~ n1(X43)
    | p(X43) ),
    inference(resolution,status(thm),[c150,clause_28]) ).

cnf(c135,plain,
    ( n3
    | n2
    | ~ n7
    | n8 ),
    inference(resolution,status(thm),[c123,clause_35]) ).

cnf(c217,plain,
    ( n3
    | n2
    | n8 ),
    inference(resolution,status(thm),[c135,c144]) ).

cnf(c224,plain,
    ( n3
    | n8
    | n1(s2) ),
    inference(resolution,status(thm),[c217,clause_24]) ).

cnf(c347,plain,
    ( n3
    | n8
    | p(s2) ),
    inference(resolution,status(thm),[c224,c165]) ).

cnf(c413,plain,
    ( n3
    | p(s2)
    | p(X103) ),
    inference(resolution,status(thm),[c347,clause_10]) ).

cnf(c604,plain,
    ( n3
    | p(s2) ),
    inference(factor,status(thm),[c413]) ).

cnf(c616,plain,
    ( n3
    | ~ n1(s2)
    | p(X131) ),
    inference(resolution,status(thm),[c604,clause_27]) ).

cnf(c698,plain,
    ( n3
    | p(X132)
    | n10 ),
    inference(resolution,status(thm),[c616,c131]) ).

cnf(c707,plain,
    ( n3
    | n10
    | n8 ),
    inference(resolution,status(thm),[c698,clause_9]) ).

cnf(c720,plain,
    ( n3
    | n8
    | ~ n7 ),
    inference(resolution,status(thm),[c707,clause_35]) ).

cnf(c734,plain,
    ( n3
    | n8 ),
    inference(resolution,status(thm),[c720,c147]) ).

cnf(c739,plain,
    ( n3
    | p(X133) ),
    inference(resolution,status(thm),[c734,clause_10]) ).

cnf(c744,plain,
    ( n3
    | ~ p(X155)
    | n1(X155) ),
    inference(resolution,status(thm),[c739,clause_25]) ).

cnf(c866,plain,
    ( n3
    | n1(X156) ),
    inference(resolution,status(thm),[c744,c739]) ).

cnf(c874,plain,
    ( n3
    | n2 ),
    inference(resolution,status(thm),[c866,clause_23]) ).

cnf(clause_33,negated_conjecture,
    ( ~ n7
    | ~ n8
    | n10 ),
    input ).

cnf(c722,plain,
    ( n3
    | n10
    | ~ n7 ),
    inference(resolution,status(thm),[c707,clause_33]) ).

cnf(c756,plain,
    ( n3
    | n10 ),
    inference(resolution,status(thm),[c722,c147]) ).

cnf(c767,plain,
    ( n3
    | ~ n2
    | ~ n9
    | ~ n6 ),
    inference(resolution,status(thm),[c756,clause_1]) ).

cnf(c899,plain,
    ( n3
    | ~ n2
    | ~ n9 ),
    inference(resolution,status(thm),[c767,c83]) ).

cnf(c914,plain,
    ( n3
    | ~ n2 ),
    inference(resolution,status(thm),[c899,c28]) ).

cnf(c934,plain,
    n3,
    inference(resolution,status(thm),[c914,c874]) ).

cnf(clause_29,negated_conjecture,
    ( ~ n3
    | ~ n4
    | n9 ),
    input ).

cnf(clause_19,negated_conjecture,
    ( ~ q(s4)
    | n4 ),
    input ).

cnf(clause_14,negated_conjecture,
    ( ~ n6
    | n5(s6) ),
    input ).

cnf(clause_6,negated_conjecture,
    ( ~ n2
    | n9
    | n6
    | ~ n10 ),
    input ).

cnf(c49,plain,
    ( n7
    | ~ n2
    | n9
    | n6 ),
    inference(resolution,status(thm),[c44,clause_6]) ).

cnf(c148,plain,
    ( n7
    | n9
    | n6 ),
    inference(resolution,status(thm),[c144,c49]) ).

cnf(c160,plain,
    ( n7
    | n9
    | n5(s6) ),
    inference(resolution,status(thm),[c148,clause_14]) ).

cnf(clause_17,negated_conjecture,
    ( ~ n5(X15)
    | ~ q(X15)
    | q(X14) ),
    input ).

cnf(clause_18,negated_conjecture,
    ( ~ n5(X19)
    | q(X19)
    | ~ q(X18) ),
    input ).

cnf(clause_22,negated_conjecture,
    ( ~ n3
    | q(s3) ),
    input ).

cnf(c151,plain,
    ( n7
    | q(s3) ),
    inference(resolution,status(thm),[c147,clause_22]) ).

cnf(c169,plain,
    ( n7
    | ~ n5(X45)
    | q(X45) ),
    inference(resolution,status(thm),[c151,clause_18]) ).

cnf(clause_31,negated_conjecture,
    ( ~ n3
    | n4
    | ~ n9 ),
    input ).

cnf(c158,plain,
    ( n7
    | n6
    | ~ n3
    | n4 ),
    inference(resolution,status(thm),[c148,clause_31]) ).

cnf(c261,plain,
    ( n7
    | n6
    | n4 ),
    inference(resolution,status(thm),[c158,c83]) ).

cnf(c272,plain,
    ( n7
    | n4
    | n5(s6) ),
    inference(resolution,status(thm),[c261,clause_14]) ).

cnf(c372,plain,
    ( n7
    | n4
    | q(s6) ),
    inference(resolution,status(thm),[c272,c169]) ).

cnf(c421,plain,
    ( n7
    | q(s6)
    | q(X109) ),
    inference(resolution,status(thm),[c372,clause_20]) ).

cnf(c625,plain,
    ( n7
    | q(s6) ),
    inference(factor,status(thm),[c421]) ).

cnf(c640,plain,
    ( n7
    | ~ n5(s6)
    | q(X179) ),
    inference(resolution,status(thm),[c625,clause_17]) ).

cnf(c960,plain,
    ( n7
    | q(X180)
    | n9 ),
    inference(resolution,status(thm),[c640,c160]) ).

cnf(c965,plain,
    ( n7
    | n9
    | n4 ),
    inference(resolution,status(thm),[c960,clause_19]) ).

cnf(c984,plain,
    ( n7
    | n9
    | ~ n3 ),
    inference(resolution,status(thm),[c965,clause_29]) ).

cnf(c995,plain,
    ( n7
    | n9 ),
    inference(resolution,status(thm),[c984,c934]) ).

cnf(c980,plain,
    ( n7
    | n4
    | ~ n3 ),
    inference(resolution,status(thm),[c965,clause_31]) ).

cnf(c986,plain,
    ( n7
    | n4 ),
    inference(resolution,status(thm),[c980,c934]) ).

cnf(c989,plain,
    ( n7
    | q(X183) ),
    inference(resolution,status(thm),[c986,clause_20]) ).

cnf(clause_15,negated_conjecture,
    ( ~ q(X12)
    | ~ q(s5(X12))
    | n5(X12) ),
    input ).

cnf(c994,plain,
    ( n7
    | ~ q(X197)
    | n5(X197) ),
    inference(resolution,status(thm),[c989,clause_15]) ).

cnf(c1030,plain,
    ( n7
    | n5(X198) ),
    inference(resolution,status(thm),[c994,c989]) ).

cnf(c1039,plain,
    ( n7
    | n6 ),
    inference(resolution,status(thm),[c1030,clause_13]) ).

cnf(c1042,plain,
    ( n7
    | ~ n2
    | ~ n9 ),
    inference(resolution,status(thm),[c1039,c51]) ).

cnf(c1058,plain,
    ( n7
    | ~ n2 ),
    inference(resolution,status(thm),[c1042,c995]) ).

cnf(c1075,plain,
    n7,
    inference(resolution,status(thm),[c1058,c144]) ).

cnf(c1078,plain,
    p(s7),
    inference(resolution,status(thm),[c1075,clause_12]) ).

cnf(c1080,plain,
    ( ~ n1(X203)
    | p(X203) ),
    inference(resolution,status(thm),[c1078,clause_28]) ).

cnf(c1083,plain,
    ( p(X211)
    | p(s1(X211)) ),
    inference(resolution,status(thm),[c1080,clause_26]) ).

cnf(c1102,plain,
    ( p(s1(s8))
    | n8 ),
    inference(resolution,status(thm),[c1083,clause_9]) ).

cnf(c1112,plain,
    ( p(s1(s8))
    | p(X263) ),
    inference(resolution,status(thm),[c1102,clause_10]) ).

cnf(c1144,plain,
    p(s1(s8)),
    inference(factor,status(thm),[c1112]) ).

cnf(c1153,plain,
    ( ~ p(s8)
    | n1(s8) ),
    inference(resolution,status(thm),[c1144,clause_25]) ).

cnf(clause_4,negated_conjecture,
    ( n2
    | n9
    | n6
    | n10 ),
    input ).

cnf(c18,plain,
    ( n2
    | n9
    | n6
    | ~ n7
    | n8 ),
    inference(resolution,status(thm),[clause_4,clause_35]) ).

cnf(c256,plain,
    ( n2
    | n9
    | n6
    | n8 ),
    inference(resolution,status(thm),[c18,c144]) ).

cnf(clause_8,negated_conjecture,
    ( n2
    | ~ n9
    | n6
    | ~ n10 ),
    input ).

cnf(c14,plain,
    ( n2
    | n6
    | n10
    | ~ n3
    | n4 ),
    inference(resolution,status(thm),[clause_4,clause_31]) ).

cnf(c201,plain,
    ( n2
    | n6
    | n10
    | n4 ),
    inference(resolution,status(thm),[c14,c83]) ).

cnf(c317,plain,
    ( n2
    | n6
    | n4
    | ~ n9 ),
    inference(resolution,status(thm),[c201,clause_8]) ).

cnf(c407,plain,
    ( n2
    | n6
    | n4
    | n8 ),
    inference(resolution,status(thm),[c317,c256]) ).

cnf(c432,plain,
    ( n2
    | n6
    | n8
    | q(X115) ),
    inference(resolution,status(thm),[c407,clause_20]) ).

cnf(c935,plain,
    q(s3),
    inference(resolution,status(thm),[c934,clause_22]) ).

cnf(c936,plain,
    ( ~ n5(X169)
    | q(X169) ),
    inference(resolution,status(thm),[c935,clause_18]) ).

cnf(c940,plain,
    ( q(X178)
    | q(s5(X178)) ),
    inference(resolution,status(thm),[c936,clause_16]) ).

cnf(c948,plain,
    ( q(s5(s4))
    | n4 ),
    inference(resolution,status(thm),[c940,clause_19]) ).

cnf(c957,plain,
    ( q(s5(s4))
    | q(X245) ),
    inference(resolution,status(thm),[c948,clause_20]) ).

cnf(c1114,plain,
    q(s5(s4)),
    inference(factor,status(thm),[c957]) ).

cnf(c1124,plain,
    ( ~ q(s4)
    | n5(s4) ),
    inference(resolution,status(thm),[c1114,clause_15]) ).

cnf(c1125,plain,
    ( n5(s4)
    | n2
    | n6
    | n8 ),
    inference(resolution,status(thm),[c1124,c432]) ).

cnf(c1249,plain,
    ( n2
    | n6
    | n8 ),
    inference(resolution,status(thm),[c1125,clause_13]) ).

cnf(c1260,plain,
    ( n2
    | n6
    | ~ n7
    | n10 ),
    inference(resolution,status(thm),[c1249,clause_33]) ).

cnf(c1289,plain,
    ( n2
    | n6
    | n10 ),
    inference(resolution,status(thm),[c1260,c1075]) ).

cnf(c1293,plain,
    ( n2
    | n10
    | ~ n9 ),
    inference(resolution,status(thm),[c1289,clause_7]) ).

cnf(c1261,plain,
    ( n2
    | n6
    | p(X346) ),
    inference(resolution,status(thm),[c1249,clause_10]) ).

cnf(c1268,plain,
    ( n2
    | n6
    | n1(s8) ),
    inference(resolution,status(thm),[c1261,c1153]) ).

cnf(c1312,plain,
    ( n2
    | n6 ),
    inference(resolution,status(thm),[c1268,clause_23]) ).

cnf(c1314,plain,
    ( n6
    | n1(s2) ),
    inference(resolution,status(thm),[c1312,clause_24]) ).

cnf(c1320,plain,
    ( n6
    | p(s2) ),
    inference(resolution,status(thm),[c1314,c1080]) ).

cnf(c1327,plain,
    ( n6
    | ~ n1(s2)
    | p(X355) ),
    inference(resolution,status(thm),[c1320,clause_27]) ).

cnf(c1347,plain,
    ( n6
    | p(X356) ),
    inference(resolution,status(thm),[c1327,c1314]) ).

cnf(c1353,plain,
    ( n6
    | n8 ),
    inference(resolution,status(thm),[c1347,clause_9]) ).

cnf(c1359,plain,
    ( n6
    | ~ n7
    | n10 ),
    inference(resolution,status(thm),[c1353,clause_33]) ).

cnf(c1369,plain,
    ( n6
    | n10 ),
    inference(resolution,status(thm),[c1359,c1075]) ).

cnf(c1373,plain,
    ( n6
    | ~ n2
    | n9 ),
    inference(resolution,status(thm),[c1369,clause_6]) ).

cnf(c1391,plain,
    ( n6
    | n9 ),
    inference(resolution,status(thm),[c1373,c1312]) ).

cnf(c1394,plain,
    ( n6
    | ~ n3
    | n4 ),
    inference(resolution,status(thm),[c1391,clause_31]) ).

cnf(c1404,plain,
    ( n6
    | n4 ),
    inference(resolution,status(thm),[c1394,c934]) ).

cnf(c1407,plain,
    ( n6
    | q(X358) ),
    inference(resolution,status(thm),[c1404,clause_20]) ).

cnf(c1412,plain,
    ( n6
    | n5(s4) ),
    inference(resolution,status(thm),[c1407,c1124]) ).

cnf(c1424,plain,
    n6,
    inference(resolution,status(thm),[c1412,clause_13]) ).

cnf(c1425,plain,
    n5(s6),
    inference(resolution,status(thm),[c1424,clause_14]) ).

cnf(c1426,plain,
    q(s6),
    inference(resolution,status(thm),[c1425,c936]) ).

cnf(c1428,plain,
    ( ~ n5(s6)
    | q(X365) ),
    inference(resolution,status(thm),[c1426,clause_17]) ).

cnf(c1429,plain,
    q(X366),
    inference(resolution,status(thm),[c1428,c1425]) ).

cnf(c1430,plain,
    n4,
    inference(resolution,status(thm),[c1429,clause_19]) ).

cnf(c1433,plain,
    ( ~ n3
    | n9 ),
    inference(resolution,status(thm),[c1430,clause_29]) ).

cnf(c1434,plain,
    n9,
    inference(resolution,status(thm),[c1433,c934]) ).

cnf(c1435,plain,
    ( n2
    | n10 ),
    inference(resolution,status(thm),[c1434,c1293]) ).

cnf(c1437,plain,
    ( n2
    | ~ n7
    | n8 ),
    inference(resolution,status(thm),[c1435,clause_35]) ).

cnf(c1444,plain,
    ( n2
    | n8 ),
    inference(resolution,status(thm),[c1437,c1075]) ).

cnf(c1447,plain,
    ( n2
    | p(X369) ),
    inference(resolution,status(thm),[c1444,clause_10]) ).

cnf(c1451,plain,
    ( n2
    | n1(s8) ),
    inference(resolution,status(thm),[c1447,c1153]) ).

cnf(c1463,plain,
    n2,
    inference(resolution,status(thm),[c1451,clause_23]) ).

cnf(c1465,plain,
    n1(s2),
    inference(resolution,status(thm),[c1463,clause_24]) ).

cnf(c1466,plain,
    p(s2),
    inference(resolution,status(thm),[c1465,c1080]) ).

cnf(c1468,plain,
    ( ~ n1(s2)
    | p(X372) ),
    inference(resolution,status(thm),[c1466,clause_27]) ).

cnf(c1469,plain,
    p(X373),
    inference(resolution,status(thm),[c1468,c1465]) ).

cnf(c1470,plain,
    n8,
    inference(resolution,status(thm),[c1469,clause_9]) ).

cnf(c1473,plain,
    ( ~ n7
    | n10 ),
    inference(resolution,status(thm),[c1470,clause_33]) ).

cnf(c1474,plain,
    n10,
    inference(resolution,status(thm),[c1473,c1075]) ).

cnf(c1475,plain,
    ( ~ n2
    | ~ n9
    | ~ n6 ),
    inference(resolution,status(thm),[c1474,clause_1]) ).

cnf(c1477,plain,
    ( ~ n2
    | ~ n9 ),
    inference(resolution,status(thm),[c1475,c1424]) ).

cnf(c1478,plain,
    ~ n2,
    inference(resolution,status(thm),[c1477,c1434]) ).

cnf(c1479,plain,
    $false,
    inference(resolution,status(thm),[c1478,c1463]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SYN036-3 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.34  % Computer : n024.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 14:30:43 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.82/1.04  # Version:  1.3
% 0.82/1.04  # SZS status Unsatisfiable
% 0.82/1.04  # SZS output start CNFRefutation
% See solution above
% 0.82/1.04  
% 0.82/1.04  # Initial clauses    : 36
% 0.82/1.04  # Processed clauses  : 276
% 0.82/1.04  # Factors computed   : 4
% 0.82/1.04  # Resolvents computed: 1476
% 0.82/1.04  # Tautologies deleted: 66
% 0.82/1.04  # Forward subsumed   : 624
% 0.82/1.04  # Backward subsumed  : 263
% 0.82/1.04  # -------- CPU Time ---------
% 0.82/1.04  # User time          : 0.681 s
% 0.82/1.04  # System time        : 0.016 s
% 0.82/1.04  # Total time         : 0.697 s
%------------------------------------------------------------------------------