TSTP Solution File: SYN221-1 by PyRes---1.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : PyRes---1.5
% Problem  : SYN221-1 : 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 17:47:39 EDT 2024

% Result   : Unsatisfiable 0.90s 1.17s
% Output   : Refutation 0.90s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    8
% Syntax   : Number of clauses     :   15 (   9 unt;   0 nHn;  11 RR)
%            Number of literals    :   22 (   0 equ;   8 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    8 (   7 usr;   1 prp; 0-3 aty)
%            Number of functors    :    3 (   3 usr;   3 con; 0-0 aty)
%            Number of variables   :   14 (   7 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(prove_this,negated_conjecture,
    ~ l3(X4,c),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).

cnf(rule_137,axiom,
    ( n2(X34)
    | ~ p1(X33,X35,X34) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_137) ).

cnf(axiom_14,axiom,
    p0(b,X2),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_14) ).

cnf(rule_085,axiom,
    ( p1(X103,X103,X103)
    | ~ p0(X104,X103) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_085) ).

cnf(c128,plain,
    p1(X105,X105,X105),
    inference(resolution,[status(thm)],[rule_085,axiom_14]) ).

cnf(c130,plain,
    n2(X109),
    inference(resolution,[status(thm)],[c128,rule_137]) ).

cnf(axiom_11,axiom,
    n0(e,b),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_11) ).

cnf(rule_001,axiom,
    ( k1(X8)
    | ~ n0(X9,X8) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_001) ).

cnf(c3,plain,
    k1(b),
    inference(resolution,[status(thm)],[rule_001,axiom_11]) ).

cnf(rule_136,axiom,
    ( m2(b)
    | ~ k1(b) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_136) ).

cnf(c43,plain,
    m2(b),
    inference(resolution,[status(thm)],[rule_136,c3]) ).

cnf(rule_217,axiom,
    ( l3(X311,X311)
    | ~ n2(X311)
    | ~ m2(b) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_217) ).

cnf(c357,plain,
    ( l3(X312,X312)
    | ~ n2(X312) ),
    inference(resolution,[status(thm)],[rule_217,c43]) ).

cnf(c358,plain,
    l3(X317,X317),
    inference(resolution,[status(thm)],[c357,c130]) ).

cnf(c364,plain,
    $false,
    inference(resolution,[status(thm)],[c358,prove_this]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11  % Problem  : SYN221-1 : TPTP v8.1.2. Released v1.1.0.
% 0.10/0.12  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.11/0.32  % Computer : n016.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit : 300
% 0.11/0.32  % WCLimit  : 300
% 0.11/0.32  % DateTime : Wed May  8 20:07:23 EDT 2024
% 0.11/0.32  % CPUTime  : 
% 0.90/1.17  % Version:  1.5
% 0.90/1.17  % SZS status Unsatisfiable
% 0.90/1.17  % SZS output start CNFRefutation
% See solution above
% 0.90/1.17  
% 0.90/1.17  % Initial clauses    : 369
% 0.90/1.17  % Processed clauses  : 281
% 0.90/1.17  % Factors computed   : 3
% 0.90/1.17  % Resolvents computed: 362
% 0.90/1.17  % Tautologies deleted: 1
% 0.90/1.17  % Forward subsumed   : 151
% 0.90/1.17  % Backward subsumed  : 108
% 0.90/1.17  % -------- CPU Time ---------
% 0.90/1.17  % User time          : 0.826 s
% 0.90/1.17  % System time        : 0.014 s
% 0.90/1.17  % Total time         : 0.840 s
%------------------------------------------------------------------------------