TSTP Solution File: LCL176-3 by PyRes---1.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : PyRes---1.5
% Problem  : LCL176-3 : TPTP v8.1.2. Released v2.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n020.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 17:30:42 EDT 2024

% Result   : Unsatisfiable 0.50s 0.70s
% Output   : Refutation 0.50s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   10
% Syntax   : Number of clauses     :   23 (  14 unt;   0 nHn;  11 RR)
%            Number of literals    :   35 (   6 equ;  13 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   1 con; 0-2 aty)
%            Number of variables   :   39 (   4 sgn)

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

cnf(c4,axiom,
    ( X19 != X18
    | ~ theorem(X19)
    | theorem(X18) ),
    theory(equality) ).

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

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

cnf(c12,plain,
    or(not(X45),X46) = implies(X45,X46),
    inference(resolution,[status(thm)],[implies_definition,symmetry]) ).

cnf(c29,plain,
    ( ~ theorem(or(not(X102),X103))
    | theorem(implies(X102,X103)) ),
    inference(resolution,[status(thm)],[c12,c4]) ).

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

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

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

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

cnf(c15,plain,
    ( theorem(X30)
    | ~ theorem(or(X30,X30)) ),
    inference(resolution,[status(thm)],[rule_2,c6]) ).

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

cnf(c3,axiom,
    ( X14 != X13
    | ~ axiom(X14)
    | axiom(X13) ),
    theory(equality) ).

cnf(c11,plain,
    ( ~ axiom(implies(X80,X81))
    | axiom(or(not(X80),X81)) ),
    inference(resolution,[status(thm)],[implies_definition,c3]) ).

cnf(c54,plain,
    axiom(or(not(X83),or(X82,X83))),
    inference(resolution,[status(thm)],[c11,axiom_1_3]) ).

cnf(c57,plain,
    theorem(or(not(X86),or(X85,X86))),
    inference(resolution,[status(thm)],[c54,rule_1]) ).

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

cnf(c18,plain,
    theorem(implies(or(X100,or(X99,X101)),or(X99,or(X100,X101)))),
    inference(resolution,[status(thm)],[axiom_1_5,rule_1]) ).

cnf(c71,plain,
    ( theorem(or(X354,or(X356,X355)))
    | ~ theorem(or(X356,or(X354,X355))) ),
    inference(resolution,[status(thm)],[c18,rule_2]) ).

cnf(c268,plain,
    theorem(or(X357,or(not(X358),X358))),
    inference(resolution,[status(thm)],[c71,c57]) ).

cnf(c285,plain,
    theorem(or(not(X359),X359)),
    inference(resolution,[status(thm)],[c268,c15]) ).

cnf(c293,plain,
    theorem(implies(X360,X360)),
    inference(resolution,[status(thm)],[c285,c29]) ).

cnf(c295,plain,
    $false,
    inference(resolution,[status(thm)],[c293,prove_this]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem  : LCL176-3 : TPTP v8.1.2. Released v2.3.0.
% 0.03/0.14  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.14/0.36  % Computer : n020.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit : 300
% 0.14/0.36  % WCLimit  : 300
% 0.14/0.36  % DateTime : Wed May  8 15:16:38 EDT 2024
% 0.14/0.36  % CPUTime  : 
% 0.50/0.70  % Version:  1.5
% 0.50/0.70  % SZS status Unsatisfiable
% 0.50/0.70  % SZS output start CNFRefutation
% See solution above
% 0.50/0.70  
% 0.50/0.70  % Initial clauses    : 17
% 0.50/0.70  % Processed clauses  : 94
% 0.50/0.70  % Factors computed   : 3
% 0.50/0.70  % Resolvents computed: 290
% 0.50/0.70  % Tautologies deleted: 4
% 0.50/0.70  % Forward subsumed   : 61
% 0.50/0.70  % Backward subsumed  : 0
% 0.50/0.70  % -------- CPU Time ---------
% 0.50/0.70  % User time          : 0.312 s
% 0.50/0.70  % System time        : 0.016 s
% 0.50/0.70  % Total time         : 0.328 s
%------------------------------------------------------------------------------