TSTP Solution File: LCL268-3 by PyRes---1.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : PyRes---1.5
% Problem  : LCL268-3 : TPTP v8.1.2. Released v2.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n016.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  : 300s
% DateTime : Thu May  9 17:31:02 EDT 2024

% Result   : Unsatisfiable 30.78s 30.99s
% Output   : Refutation 30.78s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   13
% Syntax   : Number of clauses     :   40 (  27 unt;   0 nHn;  15 RR)
%            Number of literals    :   56 (  10 equ;  17 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   1 con; 0-2 aty)
%            Number of variables   :   65 (   4 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(prove_this,negated_conjecture,
    ~ theorem(equivalent(p,p)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).

cnf(c6,axiom,
    ( X19 != X18
    | ~ theorem(X19)
    | theorem(X18) ),
    theory(equality) ).

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

cnf(equivalent_defn,axiom,
    equivalent(X63,X64) = and(implies(X63,X64),implies(X64,X63)),
    file('/export/starexec/sandbox2/benchmark/Axioms/LCL004-2.ax',equivalent_defn) ).

cnf(c48,plain,
    and(implies(X301,X302),implies(X302,X301)) = equivalent(X301,X302),
    inference(resolution,[status(thm)],[equivalent_defn,symmetry]) ).

cnf(c311,plain,
    ( ~ theorem(and(implies(X2764,X2765),implies(X2765,X2764)))
    | theorem(equivalent(X2764,X2765)) ),
    inference(resolution,[status(thm)],[c48,c6]) ).

cnf(and_defn,axiom,
    and(X52,X53) = not(or(not(X52),not(X53))),
    file('/export/starexec/sandbox2/benchmark/Axioms/LCL004-1.ax',and_defn) ).

cnf(c36,plain,
    not(or(not(X234),not(X233))) = and(X234,X233),
    inference(resolution,[status(thm)],[and_defn,symmetry]) ).

cnf(c243,plain,
    ( ~ theorem(not(or(not(X2110),not(X2109))))
    | theorem(and(X2110,X2109)) ),
    inference(resolution,[status(thm)],[c36,c6]) ).

cnf(rule_2,axiom,
    ( theorem(X23)
    | ~ theorem(implies(X24,X23))
    | ~ theorem(X24) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/LCL004-0.ax',rule_2) ).

cnf(rule_1,axiom,
    ( theorem(X3)
    | ~ axiom(X3) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/LCL004-0.ax',rule_1) ).

cnf(axiom_1_4,axiom,
    axiom(implies(or(X17,X16),or(X16,X17))),
    file('/export/starexec/sandbox2/benchmark/Axioms/LCL004-0.ax',axiom_1_4) ).

cnf(c11,plain,
    theorem(implies(or(X44,X43),or(X43,X44))),
    inference(resolution,[status(thm)],[axiom_1_4,rule_1]) ).

cnf(c28,plain,
    ( theorem(or(X57,X58))
    | ~ theorem(or(X58,X57)) ),
    inference(resolution,[status(thm)],[c11,rule_2]) ).

cnf(axiom_1_2,axiom,
    axiom(implies(or(X7,X7),X7)),
    file('/export/starexec/sandbox2/benchmark/Axioms/LCL004-0.ax',axiom_1_2) ).

cnf(c5,axiom,
    ( X14 != X13
    | ~ axiom(X14)
    | axiom(X13) ),
    theory(equality) ).

cnf(implies_definition,axiom,
    implies(X21,X22) = or(not(X21),X22),
    file('/export/starexec/sandbox2/benchmark/Axioms/LCL004-0.ax',implies_definition) ).

cnf(c14,plain,
    ( ~ axiom(implies(X81,X80))
    | axiom(or(not(X81),X80)) ),
    inference(resolution,[status(thm)],[implies_definition,c5]) ).

cnf(c65,plain,
    axiom(or(not(or(X84,X84)),X84)),
    inference(resolution,[status(thm)],[c14,axiom_1_2]) ).

cnf(c68,plain,
    theorem(or(not(or(X87,X87)),X87)),
    inference(resolution,[status(thm)],[c65,rule_1]) ).

cnf(c71,plain,
    theorem(or(X94,not(or(X94,X94)))),
    inference(resolution,[status(thm)],[c68,c28]) ).

cnf(c13,plain,
    or(not(X46),X45) = implies(X46,X45),
    inference(resolution,[status(thm)],[implies_definition,symmetry]) ).

cnf(c33,plain,
    ( ~ theorem(or(not(X116),X117))
    | theorem(implies(X116,X117)) ),
    inference(resolution,[status(thm)],[c13,c6]) ).

cnf(c101,plain,
    theorem(implies(X310,not(or(not(X310),not(X310))))),
    inference(resolution,[status(thm)],[c33,c71]) ).

cnf(c318,plain,
    ( theorem(not(or(not(X378),not(X378))))
    | ~ theorem(X378) ),
    inference(resolution,[status(thm)],[c101,rule_2]) ).

cnf(c8,plain,
    theorem(implies(or(X10,X10),X10)),
    inference(resolution,[status(thm)],[axiom_1_2,rule_1]) ).

cnf(c17,plain,
    ( theorem(X30)
    | ~ theorem(or(X30,X30)) ),
    inference(resolution,[status(thm)],[rule_2,c8]) ).

cnf(axiom_1_3,axiom,
    axiom(implies(X9,or(X8,X9))),
    file('/export/starexec/sandbox2/benchmark/Axioms/LCL004-0.ax',axiom_1_3) ).

cnf(c62,plain,
    axiom(or(not(X82),or(X83,X82))),
    inference(resolution,[status(thm)],[c14,axiom_1_3]) ).

cnf(c67,plain,
    theorem(or(not(X85),or(X86,X85))),
    inference(resolution,[status(thm)],[c62,rule_1]) ).

cnf(axiom_1_5,axiom,
    axiom(implies(or(X29,or(X28,X27)),or(X28,or(X29,X27)))),
    file('/export/starexec/sandbox2/benchmark/Axioms/LCL004-0.ax',axiom_1_5) ).

cnf(c20,plain,
    theorem(implies(or(X128,or(X126,X127)),or(X126,or(X128,X127)))),
    inference(resolution,[status(thm)],[axiom_1_5,rule_1]) ).

cnf(c113,plain,
    ( theorem(or(X768,or(X766,X767)))
    | ~ theorem(or(X766,or(X768,X767))) ),
    inference(resolution,[status(thm)],[c20,rule_2]) ).

cnf(c831,plain,
    theorem(or(X770,or(not(X769),X769))),
    inference(resolution,[status(thm)],[c113,c67]) ).

cnf(c841,plain,
    theorem(or(not(X771),X771)),
    inference(resolution,[status(thm)],[c831,c17]) ).

cnf(c849,plain,
    theorem(implies(X772,X772)),
    inference(resolution,[status(thm)],[c841,c33]) ).

cnf(c852,plain,
    theorem(not(or(not(implies(X8937,X8937)),not(implies(X8937,X8937))))),
    inference(resolution,[status(thm)],[c849,c318]) ).

cnf(c28497,plain,
    theorem(and(implies(X8940,X8940),implies(X8940,X8940))),
    inference(resolution,[status(thm)],[c852,c243]) ).

cnf(c28504,plain,
    theorem(equivalent(X8941,X8941)),
    inference(resolution,[status(thm)],[c28497,c311]) ).

cnf(c28525,plain,
    $false,
    inference(resolution,[status(thm)],[c28504,prove_this]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem  : LCL268-3 : TPTP v8.1.2. Released v2.3.0.
% 0.03/0.14  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.35  % Computer : n016.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Wed May  8 15:05:08 EDT 2024
% 0.13/0.35  % CPUTime  : 
% 30.78/30.99  % Version:  1.5
% 30.78/30.99  % SZS status Unsatisfiable
% 30.78/30.99  % SZS output start CNFRefutation
% See solution above
% 30.78/30.99  
% 30.78/30.99  % Initial clauses    : 21
% 30.78/30.99  % Processed clauses  : 1084
% 30.78/30.99  % Factors computed   : 5
% 30.78/30.99  % Resolvents computed: 28516
% 30.78/30.99  % Tautologies deleted: 5
% 30.78/30.99  % Forward subsumed   : 2269
% 30.78/30.99  % Backward subsumed  : 16
% 30.78/30.99  % -------- CPU Time ---------
% 30.78/30.99  % User time          : 30.555 s
% 30.78/30.99  % System time        : 0.082 s
% 30.78/30.99  % Total time         : 30.637 s
%------------------------------------------------------------------------------