TSTP Solution File: LCL180-3 by PyRes---1.3

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : PyRes---1.3
% Problem  : LCL180-3 : TPTP v8.1.0. Released v2.3.0.
% 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 13:52:35 EDT 2022

% Result   : Unsatisfiable 3.15s 3.30s
% Output   : Refutation 3.15s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named input)

% Comments : 
%------------------------------------------------------------------------------
cnf(prove_this,negated_conjecture,
    ~ theorem(implies(not(not(p)),p)),
    input ).

cnf(c4,plain,
    ( X17 != X16
    | ~ theorem(X17)
    | theorem(X16) ),
    eq_axiom ).

cnf(symmetry,axiom,
    ( X4 != X5
    | X5 = X4 ),
    eq_axiom ).

cnf(implies_definition,axiom,
    implies(X21,X22) = or(not(X21),X22),
    input ).

cnf(c12,plain,
    or(not(X44),X45) = implies(X44,X45),
    inference(resolution,status(thm),[implies_definition,symmetry]) ).

cnf(c28,plain,
    ( ~ theorem(or(not(X107),X106))
    | theorem(implies(X107,X106)) ),
    inference(resolution,status(thm),[c12,c4]) ).

cnf(rule_2,axiom,
    ( theorem(X23)
    | ~ theorem(implies(X24,X23))
    | ~ theorem(X24) ),
    input ).

cnf(rule_1,axiom,
    ( theorem(X3)
    | ~ axiom(X3) ),
    input ).

cnf(axiom_1_4,axiom,
    axiom(implies(or(X18,X19),or(X19,X18))),
    input ).

cnf(c10,plain,
    theorem(implies(or(X42,X43),or(X43,X42))),
    inference(resolution,status(thm),[axiom_1_4,rule_1]) ).

cnf(c24,plain,
    ( theorem(or(X59,X58))
    | ~ theorem(or(X58,X59)) ),
    inference(resolution,status(thm),[c10,rule_2]) ).

cnf(axiom_1_2,axiom,
    axiom(implies(or(X7,X7),X7)),
    input ).

cnf(c6,plain,
    theorem(implies(or(X10,X10),X10)),
    inference(resolution,status(thm),[axiom_1_2,rule_1]) ).

cnf(c14,plain,
    ( theorem(X25)
    | ~ theorem(or(X25,X25)) ),
    inference(resolution,status(thm),[rule_2,c6]) ).

cnf(axiom_1_3,axiom,
    axiom(implies(X8,or(X9,X8))),
    input ).

cnf(c7,plain,
    theorem(implies(X12,or(X11,X12))),
    inference(resolution,status(thm),[axiom_1_3,rule_1]) ).

cnf(c11,plain,
    ( ~ theorem(implies(X79,X80))
    | theorem(or(not(X79),X80)) ),
    inference(resolution,status(thm),[implies_definition,c4]) ).

cnf(c50,plain,
    theorem(or(not(X83),or(X84,X83))),
    inference(resolution,status(thm),[c11,c7]) ).

cnf(axiom_1_5,axiom,
    axiom(implies(or(X29,or(X30,X28)),or(X30,or(X29,X28)))),
    input ).

cnf(c18,plain,
    theorem(implies(or(X91,or(X92,X93)),or(X92,or(X91,X93)))),
    inference(resolution,status(thm),[axiom_1_5,rule_1]) ).

cnf(c66,plain,
    ( theorem(or(X345,or(X343,X344)))
    | ~ theorem(or(X343,or(X345,X344))) ),
    inference(resolution,status(thm),[c18,rule_2]) ).

cnf(c270,plain,
    theorem(or(X346,or(not(X347),X347))),
    inference(resolution,status(thm),[c66,c50]) ).

cnf(c272,plain,
    theorem(or(not(X348),X348)),
    inference(resolution,status(thm),[c270,c14]) ).

cnf(c278,plain,
    theorem(or(X351,not(X351))),
    inference(resolution,status(thm),[c272,c24]) ).

cnf(c284,plain,
    theorem(implies(X373,not(not(X373)))),
    inference(resolution,status(thm),[c278,c28]) ).

cnf(axiom_1_6,axiom,
    axiom(implies(implies(X40,X41),implies(or(X39,X40),or(X39,X41)))),
    input ).

cnf(c23,plain,
    theorem(implies(implies(X127,X126),implies(or(X128,X127),or(X128,X126)))),
    inference(resolution,status(thm),[axiom_1_6,rule_1]) ).

cnf(c93,plain,
    ( theorem(implies(or(X463,X464),or(X463,X462)))
    | ~ theorem(implies(X464,X462)) ),
    inference(resolution,status(thm),[c23,rule_2]) ).

cnf(c467,plain,
    theorem(implies(or(X2472,X2471),or(X2472,not(not(X2471))))),
    inference(resolution,status(thm),[c93,c284]) ).

cnf(c3054,plain,
    ( theorem(or(X2679,not(not(X2680))))
    | ~ theorem(or(X2679,X2680)) ),
    inference(resolution,status(thm),[c467,rule_2]) ).

cnf(c3366,plain,
    theorem(or(X2681,not(not(not(X2681))))),
    inference(resolution,status(thm),[c3054,c278]) ).

cnf(c3489,plain,
    theorem(or(not(not(not(X2687))),X2687)),
    inference(resolution,status(thm),[c3366,c24]) ).

cnf(c3511,plain,
    theorem(implies(not(not(X2688)),X2688)),
    inference(resolution,status(thm),[c3489,c28]) ).

cnf(c3520,plain,
    $false,
    inference(resolution,status(thm),[c3511,prove_this]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem  : LCL180-3 : TPTP v8.1.0. Released v2.3.0.
% 0.10/0.12  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.33  % Computer : n007.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 600
% 0.13/0.33  % DateTime : Mon Jul  4 00:09:41 EDT 2022
% 0.13/0.33  % CPUTime  : 
% 3.15/3.30  # Version:  1.3
% 3.15/3.30  # SZS status Unsatisfiable
% 3.15/3.30  # SZS output start CNFRefutation
% See solution above
% 3.15/3.30  
% 3.15/3.30  # Initial clauses    : 17
% 3.15/3.30  # Processed clauses  : 393
% 3.15/3.30  # Factors computed   : 0
% 3.15/3.30  # Resolvents computed: 3518
% 3.15/3.30  # Tautologies deleted: 4
% 3.15/3.30  # Forward subsumed   : 572
% 3.15/3.30  # Backward subsumed  : 0
% 3.15/3.30  # -------- CPU Time ---------
% 3.15/3.30  # User time          : 2.947 s
% 3.15/3.30  # System time        : 0.019 s
% 3.15/3.30  # Total time         : 2.966 s
%------------------------------------------------------------------------------