TSTP Solution File: SYN039-1 by PyRes---1.3

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : PyRes---1.3
% Problem  : SYN039-1 : 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 11:24:40 EDT 2022

% Result   : Unsatisfiable 3.44s 3.64s
% Output   : Refutation 3.44s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named input)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_2,negated_conjecture,
    ( p(f1(X37,X36),f1(X37,X36))
    | ~ s(X37,f1(X37,X36))
    | q(f1(X37,X36),X38) ),
    input ).

cnf(c_5,negated_conjecture,
    ( p(f1(X101,X100),f1(X101,X100))
    | s(f1(X101,X100),X99)
    | q(f1(X101,X100),X102) ),
    input ).

cnf(c_19,negated_conjecture,
    ( s(X56,X58)
    | ~ s(X58,f1(X58,X57))
    | ~ q(X57,f1(X58,X57)) ),
    input ).

cnf(c_26,negated_conjecture,
    ( s(X32,X34)
    | ~ q(X35,X35)
    | q(f1(X34,X33),X35) ),
    input ).

cnf(c_20,negated_conjecture,
    ( s(X59,X61)
    | ~ s(X61,f1(X61,X60))
    | q(f1(X61,X60),X62) ),
    input ).

cnf(c47,plain,
    ( p(f1(X1031,X1032),f1(X1031,X1032))
    | q(f1(X1031,X1032),X1036)
    | s(X1033,f1(X1031,X1032))
    | q(f1(f1(X1031,X1032),X1034),X1035) ),
    inference(resolution,status(thm),[c_5,c_20]) ).

cnf(c1476,plain,
    ( p(f1(X4466,X4469),f1(X4466,X4469))
    | q(f1(X4466,X4469),X4471)
    | q(f1(f1(X4466,X4469),X4467),X4468)
    | q(f1(X4466,X4469),X4470) ),
    inference(resolution,status(thm),[c47,c_2]) ).

cnf(c2223,plain,
    ( p(f1(X4480,X4482),f1(X4480,X4482))
    | q(f1(X4480,X4482),X4479)
    | q(f1(f1(X4480,X4482),X4478),X4481) ),
    inference(factor,status(thm),[c1476]) ).

cnf(c2360,plain,
    ( p(f1(X4803,X4800),f1(X4803,X4800))
    | q(f1(X4803,X4800),X4805)
    | s(X4804,X4806)
    | q(f1(X4806,X4801),f1(f1(X4803,X4800),X4802)) ),
    inference(resolution,status(thm),[c2223,c_26]) ).

cnf(c2591,plain,
    ( p(f1(X4807,X4809),f1(X4807,X4809))
    | q(f1(X4807,X4809),f1(f1(X4807,X4809),X4810))
    | s(X4808,X4807) ),
    inference(factor,status(thm),[c2360]) ).

cnf(c2681,plain,
    ( p(f1(X7069,X7072),f1(X7069,X7072))
    | s(X7071,X7069)
    | s(X7070,f1(X7069,X7072))
    | ~ s(f1(X7069,X7072),f1(f1(X7069,X7072),f1(X7069,X7072))) ),
    inference(resolution,status(thm),[c2591,c_19]) ).

cnf(c4977,plain,
    ( p(f1(X7073,X7074),f1(X7073,X7074))
    | s(X7076,X7073)
    | s(X7077,f1(X7073,X7074))
    | q(f1(X7073,X7074),X7075) ),
    inference(resolution,status(thm),[c2681,c_5]) ).

cnf(c5040,plain,
    ( p(f1(X7083,X7085),f1(X7083,X7085))
    | s(X7082,X7083)
    | q(f1(X7083,X7085),X7084)
    | q(f1(X7083,X7085),X7086) ),
    inference(resolution,status(thm),[c4977,c_2]) ).

cnf(c5148,plain,
    ( p(f1(X7096,X7095),f1(X7096,X7095))
    | s(X7094,X7096)
    | q(f1(X7096,X7095),X7093) ),
    inference(factor,status(thm),[c5040]) ).

cnf(c_25,negated_conjecture,
    ( s(X28,X30)
    | ~ q(X31,X31)
    | ~ q(X29,f1(X30,X29)) ),
    input ).

cnf(c5382,plain,
    ( p(f1(X7098,X7102),f1(X7098,X7102))
    | s(X7097,X7098)
    | s(X7099,X7101)
    | ~ q(X7100,X7100) ),
    inference(resolution,status(thm),[c5148,c_25]) ).

cnf(c5420,plain,
    ( p(f1(X7410,X7411),f1(X7410,X7411))
    | s(X7414,X7410)
    | s(X7413,X7415)
    | p(f1(X7412,X7416),f1(X7412,X7416))
    | s(X7409,X7412) ),
    inference(resolution,status(thm),[c5382,c5148]) ).

cnf(c6038,plain,
    ( p(f1(X7421,X7422),f1(X7421,X7422))
    | s(X7419,X7421)
    | s(X7418,X7420)
    | s(X7417,X7421) ),
    inference(factor,status(thm),[c5420]) ).

cnf(c6187,plain,
    ( p(f1(X7434,X7431),f1(X7434,X7431))
    | s(X7433,X7434)
    | s(X7432,X7434) ),
    inference(factor,status(thm),[c6038]) ).

cnf(c6315,plain,
    ( p(f1(X7435,X7437),f1(X7435,X7437))
    | s(X7436,X7435) ),
    inference(factor,status(thm),[c6187]) ).

cnf(c_3,negated_conjecture,
    ( p(f1(X55,X54),f1(X55,X54))
    | ~ s(X55,f1(X55,X54))
    | ~ s(X54,X54) ),
    input ).

cnf(c_6,negated_conjecture,
    ( p(f1(X86,X85),f1(X86,X85))
    | s(f1(X86,X85),X84)
    | ~ s(X85,X85) ),
    input ).

cnf(c6439,plain,
    ( p(f1(X7694,X7693),f1(X7694,X7693))
    | p(f1(X7695,X7694),f1(X7695,X7694))
    | s(f1(X7695,X7694),X7696) ),
    inference(resolution,status(thm),[c6315,c_6]) ).

cnf(c6892,plain,
    ( p(f1(X7698,X7698),f1(X7698,X7698))
    | s(f1(X7698,X7698),X7697) ),
    inference(factor,status(thm),[c6439]) ).

cnf(c_21,negated_conjecture,
    ( s(X22,X24)
    | ~ s(X24,f1(X24,X23))
    | ~ s(X23,X23) ),
    input ).

cnf(c6989,plain,
    ( p(f1(X7711,X7711),f1(X7711,X7711))
    | s(X7713,f1(X7711,X7711))
    | ~ s(X7712,X7712) ),
    inference(resolution,status(thm),[c6892,c_21]) ).

cnf(c7027,plain,
    ( p(f1(X7832,X7832),f1(X7832,X7832))
    | s(X7831,f1(X7832,X7832))
    | p(f1(X7830,X7830),f1(X7830,X7830)) ),
    inference(resolution,status(thm),[c6989,c6892]) ).

cnf(c7602,plain,
    ( p(f1(X7834,X7834),f1(X7834,X7834))
    | s(X7833,f1(X7834,X7834)) ),
    inference(factor,status(thm),[c7027]) ).

cnf(c7702,plain,
    ( p(f1(X7835,X7835),f1(X7835,X7835))
    | ~ s(X7835,X7835) ),
    inference(resolution,status(thm),[c7602,c_3]) ).

cnf(c7749,plain,
    ( p(f1(X7868,X7868),f1(X7868,X7868))
    | p(f1(X7868,X7869),f1(X7868,X7869)) ),
    inference(resolution,status(thm),[c7702,c6315]) ).

cnf(c7833,plain,
    p(f1(X7870,X7870),f1(X7870,X7870)),
    inference(factor,status(thm),[c7749]) ).

cnf(c_14,negated_conjecture,
    ( ~ p(X52,X52)
    | s(f1(X52,X51),X50)
    | q(f1(X52,X51),X53) ),
    input ).

cnf(c7883,plain,
    ( s(f1(f1(X7871,X7871),X7874),X7872)
    | q(f1(f1(X7871,X7871),X7874),X7873) ),
    inference(resolution,status(thm),[c7833,c_14]) ).

cnf(c_16,negated_conjecture,
    ( ~ p(X15,X15)
    | ~ q(X16,X16)
    | ~ q(X14,f1(X15,X14)) ),
    input ).

cnf(c7933,plain,
    ( s(f1(f1(X7898,X7898),X7895),X7899)
    | ~ p(X7897,X7897)
    | ~ q(X7896,X7896) ),
    inference(resolution,status(thm),[c7883,c_16]) ).

cnf(c8022,plain,
    ( s(f1(f1(X8070,X8070),X8071),X8074)
    | ~ p(X8069,X8069)
    | s(f1(f1(X8072,X8072),X8068),X8073) ),
    inference(resolution,status(thm),[c7933,c7883]) ).

cnf(c8349,plain,
    ( s(f1(f1(X8076,X8076),X8078),X8075)
    | s(f1(f1(X8080,X8080),X8079),X8077) ),
    inference(resolution,status(thm),[c8022,c7833]) ).

cnf(c8354,plain,
    s(f1(f1(X8083,X8083),X8081),X8082),
    inference(factor,status(thm),[c8349]) ).

cnf(c8435,plain,
    ( s(X8100,f1(f1(X8097,X8097),X8099))
    | ~ s(X8098,X8098) ),
    inference(resolution,status(thm),[c8354,c_21]) ).

cnf(c8528,plain,
    s(X8101,f1(f1(X8103,X8103),X8102)),
    inference(resolution,status(thm),[c8435,c8354]) ).

cnf(c8548,plain,
    ( s(X8105,f1(X8106,X8106))
    | ~ s(X8104,X8104) ),
    inference(resolution,status(thm),[c8528,c_21]) ).

cnf(c8575,plain,
    s(X8108,f1(X8107,X8107)),
    inference(resolution,status(thm),[c8548,c8528]) ).

cnf(c_12,negated_conjecture,
    ( ~ p(X10,X10)
    | ~ s(X10,f1(X10,X9))
    | ~ s(X9,X9) ),
    input ).

cnf(c8606,plain,
    ( ~ p(X8120,X8120)
    | ~ s(X8120,X8120) ),
    inference(resolution,status(thm),[c8575,c_12]) ).

cnf(c8646,plain,
    ~ p(f1(X8125,X8125),f1(X8125,X8125)),
    inference(resolution,status(thm),[c8606,c8575]) ).

cnf(c8719,plain,
    $false,
    inference(resolution,status(thm),[c8646,c7833]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SYN039-1 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.14/0.34  % Computer : n024.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 600
% 0.14/0.35  % DateTime : Mon Jul 11 16:27:58 EDT 2022
% 0.14/0.35  % CPUTime  : 
% 3.44/3.64  # Version:  1.3
% 3.44/3.64  # SZS status Unsatisfiable
% 3.44/3.64  # SZS output start CNFRefutation
% See solution above
% 3.44/3.64  
% 3.44/3.64  # Initial clauses    : 27
% 3.44/3.64  # Processed clauses  : 327
% 3.44/3.64  # Factors computed   : 81
% 3.44/3.64  # Resolvents computed: 8643
% 3.44/3.64  # Tautologies deleted: 13
% 3.44/3.64  # Forward subsumed   : 1074
% 3.44/3.64  # Backward subsumed  : 234
% 3.44/3.64  # -------- CPU Time ---------
% 3.44/3.64  # User time          : 3.239 s
% 3.44/3.64  # System time        : 0.030 s
% 3.44/3.64  # Total time         : 3.269 s
%------------------------------------------------------------------------------