TSTP Solution File: LCL211-3 by PyRes---1.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : PyRes---1.5
% Problem  : LCL211-3 : TPTP v8.1.2. Released v2.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n008.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 17:30:51 EDT 2024

% Result   : Unsatisfiable 136.93s 137.17s
% Output   : Refutation 136.93s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   15
% Syntax   : Number of clauses     :   50 (  30 unt;   0 nHn;  19 RR)
%            Number of literals    :   75 (  19 equ;  26 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    :    5 (   5 usr;   2 con; 0-2 aty)
%            Number of variables   :  105 (   4 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(prove_this,negated_conjecture,
    ~ theorem(implies(not(q),implies(or(p,q),p))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).

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

cnf(c4,axiom,
    ( X17 != X16
    | ~ theorem(X17)
    | theorem(X16) ),
    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(c11,plain,
    or(not(X46),X45) = implies(X46,X45),
    inference(resolution,[status(thm)],[implies_definition,symmetry]) ).

cnf(c27,plain,
    ( ~ theorem(or(not(X102),X103))
    | theorem(implies(X102,X103)) ),
    inference(resolution,[status(thm)],[c11,c4]) ).

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(X18,X19),or(X19,X18))),
    file('/export/starexec/sandbox2/benchmark/Axioms/LCL004-0.ax',axiom_1_4) ).

cnf(c10,plain,
    theorem(implies(or(X44,X43),or(X43,X44))),
    inference(resolution,[status(thm)],[axiom_1_4,rule_1]) ).

cnf(c26,plain,
    ( theorem(or(X56,X55))
    | ~ theorem(or(X55,X56)) ),
    inference(resolution,[status(thm)],[c10,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(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))),
    file('/export/starexec/sandbox2/benchmark/Axioms/LCL004-0.ax',axiom_1_3) ).

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

cnf(c12,plain,
    ( ~ axiom(implies(X77,X76))
    | axiom(or(not(X77),X76)) ),
    inference(resolution,[status(thm)],[implies_definition,c3]) ).

cnf(c48,plain,
    axiom(or(not(X82),or(X83,X82))),
    inference(resolution,[status(thm)],[c12,axiom_1_3]) ).

cnf(c57,plain,
    theorem(or(not(X86),or(X85,X86))),
    inference(resolution,[status(thm)],[c48,rule_1]) ).

cnf(axiom_1_5,axiom,
    axiom(implies(or(X29,or(X30,X28)),or(X30,or(X29,X28)))),
    file('/export/starexec/sandbox2/benchmark/Axioms/LCL004-0.ax',axiom_1_5) ).

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

cnf(c70,plain,
    ( theorem(or(X352,or(X353,X351)))
    | ~ theorem(or(X353,or(X352,X351))) ),
    inference(resolution,[status(thm)],[c18,rule_2]) ).

cnf(c310,plain,
    theorem(or(X355,or(not(X354),X354))),
    inference(resolution,[status(thm)],[c70,c57]) ).

cnf(c329,plain,
    theorem(or(not(X356),X356)),
    inference(resolution,[status(thm)],[c310,c14]) ).

cnf(c338,plain,
    theorem(or(X359,not(X359))),
    inference(resolution,[status(thm)],[c329,c26]) ).

cnf(c343,plain,
    theorem(implies(X381,not(not(X381)))),
    inference(resolution,[status(thm)],[c338,c27]) ).

cnf(axiom_1_6,axiom,
    axiom(implies(implies(X41,X42),implies(or(X40,X41),or(X40,X42)))),
    file('/export/starexec/sandbox2/benchmark/Axioms/LCL004-0.ax',axiom_1_6) ).

cnf(c24,plain,
    theorem(implies(implies(X137,X139),implies(or(X138,X137),or(X138,X139)))),
    inference(resolution,[status(thm)],[axiom_1_6,rule_1]) ).

cnf(c103,plain,
    ( theorem(implies(or(X553,X554),or(X553,X552)))
    | ~ theorem(implies(X554,X552)) ),
    inference(resolution,[status(thm)],[c24,rule_2]) ).

cnf(c736,plain,
    theorem(implies(or(X2551,X2552),or(X2551,not(not(X2552))))),
    inference(resolution,[status(thm)],[c103,c343]) ).

cnf(c3419,plain,
    ( theorem(or(X2851,not(not(X2850))))
    | ~ theorem(or(X2851,X2850)) ),
    inference(resolution,[status(thm)],[c736,rule_2]) ).

cnf(c13,plain,
    ( ~ theorem(implies(X91,X90))
    | theorem(or(not(X91),X90)) ),
    inference(resolution,[status(thm)],[implies_definition,c4]) ).

cnf(c65,plain,
    theorem(or(not(or(X172,X173)),or(X173,X172))),
    inference(resolution,[status(thm)],[c13,c10]) ).

cnf(c314,plain,
    theorem(or(X586,or(not(or(X585,X586)),X585))),
    inference(resolution,[status(thm)],[c70,c65]) ).

cnf(c874,plain,
    theorem(or(or(not(or(X762,X761)),X762),X761)),
    inference(resolution,[status(thm)],[c314,c26]) ).

cnf(reflexivity,axiom,
    X2 = X2,
    theory(equality) ).

cnf(c1,axiom,
    ( X79 != X78
    | X80 != X81
    | or(X79,X80) = or(X78,X81) ),
    theory(equality) ).

cnf(c56,plain,
    ( X147 != X148
    | or(X147,X149) = or(X148,X149) ),
    inference(resolution,[status(thm)],[c1,reflexivity]) ).

cnf(c112,plain,
    or(or(not(X635),X636),X637) = or(implies(X635,X636),X637),
    inference(resolution,[status(thm)],[c56,c11]) ).

cnf(c1102,plain,
    ( ~ theorem(or(or(not(X10674),X10672),X10673))
    | theorem(or(implies(X10674,X10672),X10673)) ),
    inference(resolution,[status(thm)],[c112,c4]) ).

cnf(c25215,plain,
    theorem(or(implies(or(X10753,X10754),X10753),X10754)),
    inference(resolution,[status(thm)],[c1102,c874]) ).

cnf(c26432,plain,
    theorem(or(implies(or(X19138,X19137),X19138),not(not(X19137)))),
    inference(resolution,[status(thm)],[c25215,c3419]) ).

cnf(c0,axiom,
    ( X63 != X62
    | X64 != X65
    | implies(X63,X64) = implies(X62,X65) ),
    theory(equality) ).

cnf(c42,plain,
    ( X233 != X235
    | implies(X233,or(not(X236),X234)) = implies(X235,implies(X236,X234)) ),
    inference(resolution,[status(thm)],[c0,c11]) ).

cnf(c185,plain,
    implies(X1229,or(not(X1230),X1228)) = implies(X1229,implies(X1230,X1228)),
    inference(resolution,[status(thm)],[c42,reflexivity]) ).

cnf(c1853,plain,
    ( ~ theorem(implies(X21105,or(not(X21104),X21106)))
    | theorem(implies(X21105,implies(X21104,X21106))) ),
    inference(resolution,[status(thm)],[c185,c4]) ).

cnf(c69259,plain,
    theorem(implies(or(X21173,not(X21174)),implies(X21174,X21173))),
    inference(resolution,[status(thm)],[c1853,c10]) ).

cnf(c69517,plain,
    ( theorem(implies(X21191,X21192))
    | ~ theorem(or(X21192,not(X21191))) ),
    inference(resolution,[status(thm)],[c69259,rule_2]) ).

cnf(c69867,plain,
    theorem(implies(not(X21463),implies(or(X21464,X21463),X21464))),
    inference(resolution,[status(thm)],[c69517,c26432]) ).

cnf(c71555,plain,
    $false,
    inference(resolution,[status(thm)],[c69867,prove_this]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem  : LCL211-3 : TPTP v8.1.2. Released v2.3.0.
% 0.10/0.13  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.14/0.34  % Computer : n008.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 300
% 0.14/0.34  % DateTime : Wed May  8 14:22:23 EDT 2024
% 0.14/0.34  % CPUTime  : 
% 136.93/137.17  % Version:  1.5
% 136.93/137.17  % SZS status Unsatisfiable
% 136.93/137.17  % SZS output start CNFRefutation
% See solution above
% 136.93/137.17  
% 136.93/137.17  % Initial clauses    : 17
% 136.93/137.17  % Processed clauses  : 1919
% 136.93/137.17  % Factors computed   : 3
% 136.93/137.17  % Resolvents computed: 71577
% 136.93/137.17  % Tautologies deleted: 5
% 136.93/137.17  % Forward subsumed   : 6216
% 136.93/137.17  % Backward subsumed  : 17
% 136.93/137.17  % -------- CPU Time ---------
% 136.93/137.17  % User time          : 136.636 s
% 136.93/137.17  % System time        : 0.143 s
% 136.93/137.17  % Total time         : 136.779 s
%------------------------------------------------------------------------------