TSTP Solution File: LCL206-1 by PyRes---1.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : PyRes---1.5
% Problem  : LCL206-1 : TPTP v8.1.2. Released v1.1.0.
% 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 17:30:50 EDT 2024

% Result   : Unsatisfiable 4.48s 4.72s
% Output   : Refutation 4.48s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    8
% Syntax   : Number of clauses     :   22 (  14 unt;   0 nHn;   9 RR)
%            Number of literals    :   32 (   0 equ;  11 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-1 aty)
%            Number of functors    :    4 (   4 usr;   2 con; 0-2 aty)
%            Number of variables   :   40 (  10 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(prove_this,negated_conjecture,
    ~ theorem(or(not(not(or(not(p),q))),or(not(not(p)),not(q)))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).

cnf(rule_2,axiom,
    ( theorem(X11)
    | ~ axiom(or(not(X12),X11))
    | ~ theorem(X12) ),
    file('/export/starexec/sandbox/benchmark/Axioms/LCL003-0.ax',rule_2) ).

cnf(axiom_1_5,axiom,
    axiom(or(not(or(X21,or(X22,X20))),or(X22,or(X21,X20)))),
    file('/export/starexec/sandbox/benchmark/Axioms/LCL003-0.ax',axiom_1_5) ).

cnf(c12,plain,
    ( theorem(or(X69,or(X68,X70)))
    | ~ theorem(or(X68,or(X69,X70))) ),
    inference(resolution,[status(thm)],[axiom_1_5,rule_2]) ).

cnf(axiom_1_3,axiom,
    axiom(or(not(X4),or(X5,X4))),
    file('/export/starexec/sandbox/benchmark/Axioms/LCL003-0.ax',axiom_1_3) ).

cnf(c5,plain,
    ( theorem(or(X15,X14))
    | ~ theorem(X14) ),
    inference(resolution,[status(thm)],[rule_2,axiom_1_3]) ).

cnf(axiom_1_4,axiom,
    axiom(or(not(or(X9,X10)),or(X10,X9))),
    file('/export/starexec/sandbox/benchmark/Axioms/LCL003-0.ax',axiom_1_4) ).

cnf(c4,plain,
    ( theorem(or(X17,X16))
    | ~ theorem(or(X16,X17)) ),
    inference(resolution,[status(thm)],[rule_2,axiom_1_4]) ).

cnf(rule_3,axiom,
    ( theorem(or(not(X45),X47))
    | ~ axiom(or(not(X45),X46))
    | ~ theorem(or(not(X46),X47)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/LCL003-0.ax',rule_3) ).

cnf(axiom_1_2,axiom,
    axiom(or(not(or(X3,X3)),X3)),
    file('/export/starexec/sandbox/benchmark/Axioms/LCL003-0.ax',axiom_1_2) ).

cnf(c3,plain,
    ( theorem(X13)
    | ~ theorem(or(X13,X13)) ),
    inference(resolution,[status(thm)],[rule_2,axiom_1_2]) ).

cnf(rule_1,axiom,
    ( theorem(X2)
    | ~ axiom(X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/LCL003-0.ax',rule_1) ).

cnf(c1,plain,
    theorem(or(not(X7),or(X8,X7))),
    inference(resolution,[status(thm)],[axiom_1_3,rule_1]) ).

cnf(c54,plain,
    theorem(or(X72,or(not(X73),X73))),
    inference(resolution,[status(thm)],[c12,c1]) ).

cnf(c69,plain,
    theorem(or(not(X74),X74)),
    inference(resolution,[status(thm)],[c54,c3]) ).

cnf(c71,plain,
    theorem(or(X75,not(X75))),
    inference(resolution,[status(thm)],[c69,c4]) ).

cnf(c75,plain,
    ( theorem(or(not(X503),not(not(X504))))
    | ~ axiom(or(not(X503),X504)) ),
    inference(resolution,[status(thm)],[c71,rule_3]) ).

cnf(c399,plain,
    theorem(or(not(X562),not(not(or(X563,X562))))),
    inference(resolution,[status(thm)],[c75,axiom_1_3]) ).

cnf(c438,plain,
    theorem(or(not(not(or(X566,X565))),not(X565))),
    inference(resolution,[status(thm)],[c399,c4]) ).

cnf(c449,plain,
    theorem(or(X2807,or(not(not(or(X2806,X2808))),not(X2808)))),
    inference(resolution,[status(thm)],[c438,c5]) ).

cnf(c1726,plain,
    theorem(or(not(not(or(X2858,X2857))),or(X2859,not(X2857)))),
    inference(resolution,[status(thm)],[c449,c12]) ).

cnf(c1801,plain,
    $false,
    inference(resolution,[status(thm)],[c1726,prove_this]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : LCL206-1 : TPTP v8.1.2. Released v1.1.0.
% 0.07/0.13  % 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 15:32:23 EDT 2024
% 0.13/0.35  % CPUTime  : 
% 4.48/4.72  % Version:  1.5
% 4.48/4.72  % SZS status Unsatisfiable
% 4.48/4.72  % SZS output start CNFRefutation
% See solution above
% 4.48/4.72  
% 4.48/4.72  % Initial clauses    : 9
% 4.48/4.72  % Processed clauses  : 409
% 4.48/4.72  % Factors computed   : 0
% 4.48/4.72  % Resolvents computed: 1802
% 4.48/4.72  % Tautologies deleted: 0
% 4.48/4.72  % Forward subsumed   : 519
% 4.48/4.72  % Backward subsumed  : 8
% 4.48/4.72  % -------- CPU Time ---------
% 4.48/4.72  % User time          : 4.351 s
% 4.48/4.72  % System time        : 0.017 s
% 4.48/4.72  % Total time         : 4.368 s
%------------------------------------------------------------------------------