TSTP Solution File: LAT005-1 by PyRes---1.3

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : PyRes---1.3
% Problem  : LAT005-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n018.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 : Sun Jul 17 06:28:43 EDT 2022

% Result   : Unsatisfiable 112.20s 112.40s
% Output   : Refutation 112.20s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named input)

% Comments : 
%------------------------------------------------------------------------------
cnf(meet_a2_and_b2,negated_conjecture,
    ~ meet(a2,b2,r1),
    input ).

cnf(commutativity_of_meet,axiom,
    ( ~ meet(X8,X9,X10)
    | meet(X9,X8,X10) ),
    input ).

cnf(absorbtion2,axiom,
    ( ~ join(X31,X32,X33)
    | meet(X31,X33,X31) ),
    input ).

cnf(join_r1_and_e,negated_conjecture,
    join(r1,e,a2),
    input ).

cnf(c47,plain,
    meet(r1,a2,r1),
    inference(resolution,status(thm),[join_r1_and_e,absorbtion2]) ).

cnf(c149,plain,
    meet(a2,r1,r1),
    inference(resolution,status(thm),[c47,commutativity_of_meet]) ).

cnf(commutativity_of_join,axiom,
    ( ~ join(X16,X17,X18)
    | join(X17,X16,X18) ),
    input ).

cnf(join_r1_and_d,negated_conjecture,
    join(r1,d,b2),
    input ).

cnf(c48,plain,
    join(d,r1,b2),
    inference(resolution,status(thm),[join_r1_and_d,commutativity_of_join]) ).

cnf(join_0_and_x,axiom,
    join(n0,X4,X4),
    input ).

cnf(c11,plain,
    join(X20,n0,X20),
    inference(resolution,status(thm),[commutativity_of_join,join_0_and_x]) ).

cnf(modularity4,axiom,
    ( ~ meet(X83,X81,X81)
    | ~ join(X85,X81,X82)
    | ~ meet(X83,X85,X80)
    | ~ join(X81,X80,X84)
    | meet(X83,X82,X84) ),
    input ).

cnf(c211,plain,
    ( ~ meet(X826,X828,X828)
    | ~ join(X825,X828,X827)
    | ~ meet(X826,X825,n0)
    | meet(X826,X827,X828) ),
    inference(resolution,status(thm),[modularity4,c11]) ).

cnf(absorbtion1,axiom,
    ( ~ meet(X24,X25,X26)
    | join(X24,X26,X24) ),
    input ).

cnf(meet_r2_and_a,negated_conjecture,
    meet(r2,a,d),
    input ).

cnf(c43,plain,
    meet(a,r2,d),
    inference(resolution,status(thm),[meet_r2_and_a,commutativity_of_meet]) ).

cnf(c138,plain,
    join(a,d,a),
    inference(resolution,status(thm),[c43,absorbtion1]) ).

cnf(c268,plain,
    join(d,a,a),
    inference(resolution,status(thm),[c138,commutativity_of_join]) ).

cnf(c409,plain,
    meet(d,a,d),
    inference(resolution,status(thm),[c268,absorbtion2]) ).

cnf(c542,plain,
    meet(a,d,d),
    inference(resolution,status(thm),[c409,commutativity_of_meet]) ).

cnf(meet_0_and_x,axiom,
    meet(n0,X7,n0),
    input ).

cnf(associativity_of_meet2,axiom,
    ( ~ meet(X48,X49,X47)
    | ~ meet(X49,X45,X46)
    | ~ meet(X47,X45,X44)
    | meet(X48,X46,X44) ),
    input ).

cnf(c58,plain,
    ( ~ meet(X143,X142,n0)
    | ~ meet(X142,X141,X144)
    | meet(X143,X144,n0) ),
    inference(resolution,status(thm),[associativity_of_meet2,meet_0_and_x]) ).

cnf(c683,plain,
    ( ~ meet(X1231,a,n0)
    | meet(X1231,d,n0) ),
    inference(resolution,status(thm),[c58,c542]) ).

cnf(join_a_and_b,negated_conjecture,
    join(a,b,c2),
    input ).

cnf(c31,plain,
    meet(a,c2,a),
    inference(resolution,status(thm),[absorbtion2,join_a_and_b]) ).

cnf(meet_r2_and_b,negated_conjecture,
    meet(r2,b,e),
    input ).

cnf(c12,plain,
    join(b,a,c2),
    inference(resolution,status(thm),[commutativity_of_join,join_a_and_b]) ).

cnf(c75,plain,
    meet(b,c2,b),
    inference(resolution,status(thm),[c12,absorbtion2]) ).

cnf(associativity_of_meet1,axiom,
    ( ~ meet(X42,X43,X41)
    | ~ meet(X43,X39,X40)
    | ~ meet(X42,X40,X38)
    | meet(X41,X39,X38) ),
    input ).

cnf(c36,plain,
    ( ~ meet(r2,X95,X94)
    | ~ meet(X95,X93,b)
    | meet(X94,X93,e) ),
    inference(resolution,status(thm),[associativity_of_meet1,meet_r2_and_b]) ).

cnf(c278,plain,
    ( ~ meet(r2,b,X841)
    | meet(X841,c2,e) ),
    inference(resolution,status(thm),[c36,c75]) ).

cnf(c3062,plain,
    meet(e,c2,e),
    inference(resolution,status(thm),[c278,meet_r2_and_b]) ).

cnf(c46,plain,
    join(e,r1,a2),
    inference(resolution,status(thm),[join_r1_and_e,commutativity_of_join]) ).

cnf(meet_c2_and_r1,negated_conjecture,
    meet(c2,r1,n0),
    input ).

cnf(c32,plain,
    meet(r1,c2,n0),
    inference(resolution,status(thm),[meet_c2_and_r1,commutativity_of_meet]) ).

cnf(modularity2,axiom,
    ( ~ meet(X71,X69,X71)
    | ~ join(X71,X73,X68)
    | ~ meet(X73,X69,X70)
    | ~ join(X71,X70,X72)
    | meet(X69,X68,X72) ),
    input ).

cnf(c159,plain,
    ( ~ meet(X639,X637,X639)
    | ~ join(X639,X638,X640)
    | ~ meet(X638,X637,n0)
    | meet(X637,X640,X639) ),
    inference(resolution,status(thm),[modularity2,c11]) ).

cnf(c2001,plain,
    ( ~ meet(X3696,c2,X3696)
    | ~ join(X3696,r1,X3697)
    | meet(c2,X3697,X3696) ),
    inference(resolution,status(thm),[c159,c32]) ).

cnf(c6864,plain,
    ( ~ meet(e,c2,e)
    | meet(c2,a2,e) ),
    inference(resolution,status(thm),[c2001,c46]) ).

cnf(c7941,plain,
    meet(c2,a2,e),
    inference(resolution,status(thm),[c6864,c3062]) ).

cnf(meet_a_and_b,negated_conjecture,
    meet(a,b,c),
    input ).

cnf(c1,plain,
    meet(b,r2,e),
    inference(resolution,status(thm),[commutativity_of_meet,meet_r2_and_b]) ).

cnf(meet_c_and_r2,negated_conjecture,
    meet(c,r2,n0),
    input ).

cnf(c62,plain,
    ( ~ meet(X157,X156,c)
    | ~ meet(X156,r2,X158)
    | meet(X157,X158,n0) ),
    inference(resolution,status(thm),[associativity_of_meet2,meet_c_and_r2]) ).

cnf(c782,plain,
    ( ~ meet(X1374,b,c)
    | meet(X1374,e,n0) ),
    inference(resolution,status(thm),[c62,c1]) ).

cnf(c4194,plain,
    meet(a,e,n0),
    inference(resolution,status(thm),[c782,meet_a_and_b]) ).

cnf(c4222,plain,
    ( ~ meet(a,X5510,X5509)
    | ~ meet(X5510,X5508,e)
    | meet(X5509,X5508,n0) ),
    inference(resolution,status(thm),[c4194,associativity_of_meet1]) ).

cnf(c9586,plain,
    ( ~ meet(a,c2,X5528)
    | meet(X5528,a2,n0) ),
    inference(resolution,status(thm),[c4222,c7941]) ).

cnf(c9602,plain,
    meet(a,a2,n0),
    inference(resolution,status(thm),[c9586,c31]) ).

cnf(c9615,plain,
    meet(a2,a,n0),
    inference(resolution,status(thm),[c9602,commutativity_of_meet]) ).

cnf(c9651,plain,
    meet(a2,d,n0),
    inference(resolution,status(thm),[c9615,c683]) ).

cnf(c9738,plain,
    ( ~ meet(a2,X6793,X6793)
    | ~ join(d,X6793,X6792)
    | meet(a2,X6792,X6793) ),
    inference(resolution,status(thm),[c9651,c211]) ).

cnf(c11436,plain,
    ( ~ meet(a2,r1,r1)
    | meet(a2,b2,r1) ),
    inference(resolution,status(thm),[c9738,c48]) ).

cnf(c11442,plain,
    meet(a2,b2,r1),
    inference(resolution,status(thm),[c11436,c149]) ).

cnf(c11455,plain,
    $false,
    inference(resolution,status(thm),[c11442,meet_a2_and_b2]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem  : LAT005-1 : TPTP v8.1.0. Released v1.0.0.
% 0.04/0.13  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.34  % Computer : n018.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Thu Jun 30 03:14:16 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 112.20/112.40  # Version:  1.3
% 112.20/112.40  # SZS status Unsatisfiable
% 112.20/112.40  # SZS output start CNFRefutation
% See solution above
% 112.20/112.40  
% 112.20/112.40  # Initial clauses    : 29
% 112.20/112.40  # Processed clauses  : 4411
% 112.20/112.40  # Factors computed   : 0
% 112.20/112.40  # Resolvents computed: 11505
% 112.20/112.40  # Tautologies deleted: 536
% 112.20/112.40  # Forward subsumed   : 4647
% 112.20/112.40  # Backward subsumed  : 57
% 112.20/112.40  # -------- CPU Time ---------
% 112.20/112.40  # User time          : 112.020 s
% 112.20/112.40  # System time        : 0.030 s
% 112.20/112.40  # Total time         : 112.050 s
%------------------------------------------------------------------------------