TSTP Solution File: SYN162-1 by PyRes---1.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : PyRes---1.5
% Problem  : SYN162-1 : TPTP v8.1.2. Released v1.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n026.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 17:47:31 EDT 2024

% Result   : Unsatisfiable 1.34s 1.59s
% Output   : Refutation 1.34s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   12
% Syntax   : Number of clauses     :   24 (  13 unt;   0 nHn;  15 RR)
%            Number of literals    :   39 (   0 equ;  16 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   12 (  11 usr;   1 prp; 0-3 aty)
%            Number of functors    :    4 (   4 usr;   4 con; 0-0 aty)
%            Number of variables   :   33 (  13 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(prove_this,negated_conjecture,
    ~ n5(c,c),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).

cnf(rule_314,axiom,
    ( n5(X12,X12)
    | ~ r4(X12) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_314) ).

cnf(rule_240,axiom,
    ( n3(X46)
    | ~ p2(X45,X47,X46) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_240) ).

cnf(axiom_19,axiom,
    m0(X5,d,X4),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_19) ).

cnf(rule_006,axiom,
    ( m1(X35,X35,X35)
    | ~ m0(X36,X36,X35) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_006) ).

cnf(c44,plain,
    m1(X37,X37,X37),
    inference(resolution,[status(thm)],[rule_006,axiom_19]) ).

cnf(rule_150,axiom,
    ( p2(X211,X211,X211)
    | ~ m1(X210,X210,X211) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_150) ).

cnf(c247,plain,
    p2(X212,X212,X212),
    inference(resolution,[status(thm)],[rule_150,c44]) ).

cnf(c252,plain,
    n3(X216),
    inference(resolution,[status(thm)],[c247,rule_240]) ).

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

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(X102,X103) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_085) ).

cnf(c128,plain,
    p1(X104,X104,X104),
    inference(resolution,[status(thm)],[rule_085,axiom_14]) ).

cnf(rule_181,axiom,
    ( q2(X229,X229,X229)
    | ~ p1(X229,X229,X229) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_181) ).

cnf(c271,plain,
    q2(X230,X230,X230),
    inference(resolution,[status(thm)],[rule_181,c128]) ).

cnf(rule_255,axiom,
    ( q3(X649,X650)
    | ~ q2(X651,X649,X650)
    | ~ n0(X651,X649) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_255) ).

cnf(c742,plain,
    ( q3(X652,X652)
    | ~ n0(X652,X652) ),
    inference(resolution,[status(thm)],[rule_255,c271]) ).

cnf(c743,plain,
    q3(e,e),
    inference(resolution,[status(thm)],[c742,axiom_30]) ).

cnf(rule_298,axiom,
    ( r4(X997)
    | ~ n3(X997)
    | ~ q3(X999,X1000)
    | ~ p0(X998,X997) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_298) ).

cnf(c1246,plain,
    ( r4(X1003)
    | ~ n3(X1003)
    | ~ q3(X1001,X1002) ),
    inference(resolution,[status(thm)],[rule_298,axiom_14]) ).

cnf(c1248,plain,
    ( r4(X1004)
    | ~ n3(X1004) ),
    inference(resolution,[status(thm)],[c1246,c743]) ).

cnf(c1255,plain,
    r4(X1005),
    inference(resolution,[status(thm)],[c1248,c252]) ).

cnf(c1257,plain,
    n5(X1006,X1006),
    inference(resolution,[status(thm)],[c1255,rule_314]) ).

cnf(c1258,plain,
    $false,
    inference(resolution,[status(thm)],[c1257,prove_this]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12  % Problem  : SYN162-1 : TPTP v8.1.2. Released v1.1.0.
% 0.08/0.13  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.34  % Computer : n026.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 20:02:23 EDT 2024
% 0.13/0.35  % CPUTime  : 
% 1.34/1.59  % Version:  1.5
% 1.34/1.59  % SZS status Unsatisfiable
% 1.34/1.59  % SZS output start CNFRefutation
% See solution above
% 1.34/1.59  
% 1.34/1.59  % Initial clauses    : 369
% 1.34/1.59  % Processed clauses  : 776
% 1.34/1.59  % Factors computed   : 8
% 1.34/1.59  % Resolvents computed: 1251
% 1.34/1.59  % Tautologies deleted: 14
% 1.34/1.59  % Forward subsumed   : 468
% 1.34/1.59  % Backward subsumed  : 301
% 1.34/1.59  % -------- CPU Time ---------
% 1.34/1.59  % User time          : 1.202 s
% 1.34/1.59  % System time        : 0.015 s
% 1.34/1.59  % Total time         : 1.217 s
%------------------------------------------------------------------------------