TSTP Solution File: SYN117-1 by PyRes---1.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : PyRes---1.5
% Problem  : SYN117-1 : TPTP v8.1.2. Released v1.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n027.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 17:47:25 EDT 2024

% Result   : Unsatisfiable 0.90s 1.15s
% Output   : Refutation 0.90s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   13
% Syntax   : Number of clauses     :   26 (  14 unt;   0 nHn;  16 RR)
%            Number of literals    :   41 (   0 equ;  16 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   13 (  12 usr;   1 prp; 0-3 aty)
%            Number of functors    :    2 (   2 usr;   2 con; 0-0 aty)
%            Number of variables   :   37 (  18 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(prove_this,negated_conjecture,
    ~ k5(e),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).

cnf(axiom_13,axiom,
    r0(e),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_13) ).

cnf(axiom_14,axiom,
    p0(b,X2),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_14) ).

cnf(rule_007,axiom,
    ( m1(X43,X42,X43)
    | ~ p0(X44,X42)
    | ~ r0(X43) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_007) ).

cnf(c54,plain,
    ( m1(X73,X72,X73)
    | ~ r0(X73) ),
    inference(resolution,[status(thm)],[rule_007,axiom_14]) ).

cnf(c72,plain,
    m1(e,X75,e),
    inference(resolution,[status(thm)],[c54,axiom_13]) ).

cnf(rule_176,axiom,
    ( p2(X220,X219,X220)
    | ~ m1(X219,X220,X219) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_176) ).

cnf(c254,plain,
    p2(X224,e,X224),
    inference(resolution,[status(thm)],[rule_176,c72]) ).

cnf(rule_267,axiom,
    ( r3(X243,X241,X243)
    | ~ p2(X243,X242,X241) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_267) ).

cnf(c284,plain,
    r3(X244,X244,X244),
    inference(resolution,[status(thm)],[rule_267,c254]) ).

cnf(rule_300,axiom,
    ( k5(X326)
    | ~ s4(X328)
    | ~ r3(X327,X326,X326) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_300) ).

cnf(c364,plain,
    ( k5(X330)
    | ~ s4(X329) ),
    inference(resolution,[status(thm)],[rule_300,c284]) ).

cnf(axiom_30,axiom,
    n0(e,e),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_30) ).

cnf(rule_002,axiom,
    ( l1(X16,X16)
    | ~ n0(X15,X16) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_002) ).

cnf(c11,plain,
    l1(e,e),
    inference(resolution,[status(thm)],[rule_002,axiom_30]) ).

cnf(rule_244,axiom,
    ( p3(X48,X48,X48)
    | ~ n2(X48) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_244) ).

cnf(rule_137,axiom,
    ( n2(X33)
    | ~ p1(X34,X32,X33) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_137) ).

cnf(rule_085,axiom,
    ( p1(X103,X103,X103)
    | ~ p0(X102,X103) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_085) ).

cnf(c129,plain,
    p1(X104,X104,X104),
    inference(resolution,[status(thm)],[rule_085,axiom_14]) ).

cnf(c130,plain,
    n2(X108),
    inference(resolution,[status(thm)],[c129,rule_137]) ).

cnf(c132,plain,
    p3(X110,X110,X110),
    inference(resolution,[status(thm)],[c130,rule_244]) ).

cnf(rule_299,axiom,
    ( s4(X402)
    | ~ p3(X403,X401,X404)
    | ~ l1(X402,X401) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_299) ).

cnf(c421,plain,
    ( s4(X406)
    | ~ l1(X406,X405) ),
    inference(resolution,[status(thm)],[rule_299,c132]) ).

cnf(c422,plain,
    s4(e),
    inference(resolution,[status(thm)],[c421,c11]) ).

cnf(c429,plain,
    k5(X407),
    inference(resolution,[status(thm)],[c422,c364]) ).

cnf(c432,plain,
    $false,
    inference(resolution,[status(thm)],[c429,prove_this]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SYN117-1 : TPTP v8.1.2. Released v1.1.0.
% 0.03/0.13  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.34  % Computer : n027.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Wed May  8 20:27:08 EDT 2024
% 0.13/0.34  % CPUTime  : 
% 0.90/1.15  % Version:  1.5
% 0.90/1.15  % SZS status Unsatisfiable
% 0.90/1.15  % SZS output start CNFRefutation
% See solution above
% 0.90/1.15  
% 0.90/1.15  % Initial clauses    : 369
% 0.90/1.15  % Processed clauses  : 325
% 0.90/1.15  % Factors computed   : 3
% 0.90/1.15  % Resolvents computed: 430
% 0.90/1.15  % Tautologies deleted: 2
% 0.90/1.15  % Forward subsumed   : 201
% 0.90/1.15  % Backward subsumed  : 143
% 0.90/1.15  % -------- CPU Time ---------
% 0.90/1.15  % User time          : 0.777 s
% 0.90/1.15  % System time        : 0.017 s
% 0.90/1.15  % Total time         : 0.795 s
%------------------------------------------------------------------------------