TSTP Solution File: LAT005-2 by PyRes---1.3

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : PyRes---1.3
% Problem  : LAT005-2 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n007.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 97.62s 97.80s
% Output   : Refutation 97.62s
% 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(absorbtion2,axiom,
    ( ~ join(X37,X35,X36)
    | meet(X37,X36,X37) ),
    input ).

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

cnf(c57,plain,
    meet(r1,a2,r1),
    inference(resolution,status(thm),[join_r1_and_e,absorbtion2]) ).

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

cnf(join_x_and_0,axiom,
    join(X5,n0,X5),
    input ).

cnf(modularity2,axiom,
    ( ~ meet(X75,X72,X75)
    | ~ join(X75,X76,X77)
    | ~ meet(X76,X72,X74)
    | ~ join(X75,X74,X73)
    | meet(X72,X77,X73) ),
    input ).

cnf(c153,plain,
    ( ~ meet(X636,X635,X636)
    | ~ join(X636,X634,X637)
    | ~ meet(X634,X635,n0)
    | meet(X635,X637,X636) ),
    inference(resolution,status(thm),[modularity2,join_x_and_0]) ).

cnf(commutativity_of_meet,axiom,
    ( ~ meet(X14,X12,X13)
    | meet(X12,X14,X13) ),
    input ).

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

cnf(c54,plain,
    meet(a,r2,d),
    inference(resolution,status(thm),[meet_r2_and_a,commutativity_of_meet]) ).

cnf(meet_0_and_x,axiom,
    meet(n0,X10,n0),
    input ).

cnf(associativity_of_meet2,axiom,
    ( ~ meet(X51,X53,X49)
    | ~ meet(X53,X48,X50)
    | ~ meet(X49,X48,X52)
    | meet(X51,X50,X52) ),
    input ).

cnf(c48,plain,
    ( ~ meet(X127,X130,n0)
    | ~ meet(X130,X128,X129)
    | meet(X127,X129,n0) ),
    inference(resolution,status(thm),[associativity_of_meet2,meet_0_and_x]) ).

cnf(c558,plain,
    ( ~ meet(X1197,a,n0)
    | meet(X1197,d,n0) ),
    inference(resolution,status(thm),[c48,c54]) ).

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

cnf(c37,plain,
    meet(a,c2,a),
    inference(resolution,status(thm),[join_a_and_b,absorbtion2]) ).

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

cnf(commutativity_of_join,axiom,
    ( ~ join(X22,X20,X21)
    | join(X20,X22,X21) ),
    input ).

cnf(c36,plain,
    join(b,a,c2),
    inference(resolution,status(thm),[join_a_and_b,commutativity_of_join]) ).

cnf(c106,plain,
    meet(b,c2,b),
    inference(resolution,status(thm),[c36,absorbtion2]) ).

cnf(associativity_of_meet1,axiom,
    ( ~ meet(X45,X47,X43)
    | ~ meet(X47,X42,X44)
    | ~ meet(X45,X44,X46)
    | meet(X43,X42,X46) ),
    input ).

cnf(c34,plain,
    ( ~ meet(r2,X104,X105)
    | ~ meet(X104,X106,b)
    | meet(X105,X106,e) ),
    inference(resolution,status(thm),[meet_r2_and_b,associativity_of_meet1]) ).

cnf(c345,plain,
    ( ~ meet(r2,b,X889)
    | meet(X889,c2,e) ),
    inference(resolution,status(thm),[c34,c106]) ).

cnf(c2804,plain,
    meet(e,c2,e),
    inference(resolution,status(thm),[c345,meet_r2_and_b]) ).

cnf(c56,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(c40,plain,
    meet(r1,c2,n0),
    inference(resolution,status(thm),[meet_c2_and_r1,commutativity_of_meet]) ).

cnf(c2120,plain,
    ( ~ meet(X4157,c2,X4157)
    | ~ join(X4157,r1,X4158)
    | meet(c2,X4158,X4157) ),
    inference(resolution,status(thm),[c153,c40]) ).

cnf(c6392,plain,
    ( ~ meet(e,c2,e)
    | meet(c2,a2,e) ),
    inference(resolution,status(thm),[c2120,c56]) ).

cnf(c6913,plain,
    meet(c2,a2,e),
    inference(resolution,status(thm),[c6392,c2804]) ).

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

cnf(c33,plain,
    meet(b,r2,e),
    inference(resolution,status(thm),[meet_r2_and_b,commutativity_of_meet]) ).

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

cnf(c46,plain,
    ( ~ meet(X121,X123,c)
    | ~ meet(X123,r2,X122)
    | meet(X121,X122,n0) ),
    inference(resolution,status(thm),[associativity_of_meet2,meet_c_and_r2]) ).

cnf(c482,plain,
    ( ~ meet(X1032,b,c)
    | meet(X1032,e,n0) ),
    inference(resolution,status(thm),[c46,c33]) ).

cnf(c3095,plain,
    meet(a,e,n0),
    inference(resolution,status(thm),[c482,meet_a_and_b]) ).

cnf(c3111,plain,
    ( ~ meet(a,X4879,X4880)
    | ~ meet(X4879,X4881,e)
    | meet(X4880,X4881,n0) ),
    inference(resolution,status(thm),[c3095,associativity_of_meet1]) ).

cnf(c7705,plain,
    ( ~ meet(a,c2,X4893)
    | meet(X4893,a2,n0) ),
    inference(resolution,status(thm),[c3111,c6913]) ).

cnf(c7721,plain,
    meet(a,a2,n0),
    inference(resolution,status(thm),[c7705,c37]) ).

cnf(c7743,plain,
    meet(a2,a,n0),
    inference(resolution,status(thm),[c7721,commutativity_of_meet]) ).

cnf(c7761,plain,
    meet(a2,d,n0),
    inference(resolution,status(thm),[c7743,c558]) ).

cnf(c7813,plain,
    meet(d,a2,n0),
    inference(resolution,status(thm),[c7761,commutativity_of_meet]) ).

cnf(c7829,plain,
    ( ~ meet(X6203,a2,X6203)
    | ~ join(X6203,d,X6204)
    | meet(a2,X6204,X6203) ),
    inference(resolution,status(thm),[c7813,c153]) ).

cnf(c9337,plain,
    ( ~ meet(r1,a2,r1)
    | meet(a2,b2,r1) ),
    inference(resolution,status(thm),[c7829,join_r1_and_d]) ).

cnf(c9339,plain,
    meet(a2,b2,r1),
    inference(resolution,status(thm),[c9337,c57]) ).

cnf(c9362,plain,
    $false,
    inference(resolution,status(thm),[c9339,meet_a2_and_b2]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.11  % Problem  : LAT005-2 : TPTP v8.1.0. Released v1.0.0.
% 0.09/0.12  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.11/0.32  % Computer : n007.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit : 300
% 0.11/0.32  % WCLimit  : 600
% 0.11/0.32  % DateTime : Thu Jun 30 11:05:23 EDT 2022
% 0.11/0.32  % CPUTime  : 
% 97.62/97.80  # Version:  1.3
% 97.62/97.80  # SZS status Unsatisfiable
% 97.62/97.80  # SZS output start CNFRefutation
% See solution above
% 97.62/97.80  
% 97.62/97.80  # Initial clauses    : 31
% 97.62/97.80  # Processed clauses  : 3973
% 97.62/97.80  # Factors computed   : 0
% 97.62/97.80  # Resolvents computed: 9387
% 97.62/97.80  # Tautologies deleted: 337
% 97.62/97.80  # Forward subsumed   : 4427
% 97.62/97.80  # Backward subsumed  : 58
% 97.62/97.80  # -------- CPU Time ---------
% 97.62/97.80  # User time          : 97.444 s
% 97.62/97.80  # System time        : 0.021 s
% 97.62/97.80  # Total time         : 97.465 s
%------------------------------------------------------------------------------