TSTP Solution File: LCL798-1 by PyRes---1.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : PyRes---1.5
% Problem  : LCL798-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n015.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 17:32:29 EDT 2024

% Result   : Unsatisfiable 11.13s 11.38s
% Output   : Refutation 11.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    5
% Syntax   : Number of clauses     :    9 (   6 unt;   0 nHn;   9 RR)
%            Number of literals    :   15 (   0 equ;   7 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :    9 (   9 usr;   7 con; 0-4 aty)
%            Number of variables   :    5 (   1 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(cls_conjecture_0,negated_conjecture,
    ~ c_InductTermi_OIT(c_Lambda_Osubst(v_a____,v_u____,v_i____)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).

cnf(cls_uIT_0,axiom,
    c_InductTermi_OIT(v_u____),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_uIT_0) ).

cnf(cls_CHAINED_0_01,axiom,
    c_Type_Otyping(v_e____,v_u____,v_T____),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_CHAINED_0_01) ).

cnf(cls_CHAINED_0,axiom,
    ( c_InductTermi_OIT(c_Lambda_Osubst(v_a____,X343,X341))
    | ~ c_Type_Otyping(X344,X343,v_T____)
    | ~ c_InductTermi_OIT(X343)
    | ~ c_Type_Otyping(c_Type_Oshift(X344,X341,v_T____,tc_Type_Otype),v_a____,X342) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_CHAINED_0) ).

cnf(cls_CHAINED_0_03,axiom,
    c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),v_a____,v_T_H_H____),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_CHAINED_0_03) ).

cnf(c718,plain,
    ( c_InductTermi_OIT(c_Lambda_Osubst(v_a____,X2860,v_i____))
    | ~ c_Type_Otyping(v_e____,X2860,v_T____)
    | ~ c_InductTermi_OIT(X2860) ),
    inference(resolution,[status(thm)],[cls_CHAINED_0_03,cls_CHAINED_0]) ).

cnf(c17262,plain,
    ( c_InductTermi_OIT(c_Lambda_Osubst(v_a____,v_u____,v_i____))
    | ~ c_InductTermi_OIT(v_u____) ),
    inference(resolution,[status(thm)],[c718,cls_CHAINED_0_01]) ).

cnf(c17263,plain,
    c_InductTermi_OIT(c_Lambda_Osubst(v_a____,v_u____,v_i____)),
    inference(resolution,[status(thm)],[c17262,cls_uIT_0]) ).

cnf(c17270,plain,
    $false,
    inference(resolution,[status(thm)],[c17263,cls_conjecture_0]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem  : LCL798-1 : TPTP v8.1.2. Released v4.1.0.
% 0.08/0.14  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.14/0.36  % Computer : n015.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit : 300
% 0.14/0.36  % WCLimit  : 300
% 0.14/0.36  % DateTime : Wed May  8 15:15:23 EDT 2024
% 0.14/0.36  % CPUTime  : 
% 11.13/11.38  % Version:  1.5
% 11.13/11.38  % SZS status Unsatisfiable
% 11.13/11.38  % SZS output start CNFRefutation
% See solution above
% 11.13/11.38  
% 11.13/11.38  % Initial clauses    : 104
% 11.13/11.38  % Processed clauses  : 1383
% 11.13/11.38  % Factors computed   : 31
% 11.13/11.38  % Resolvents computed: 17222
% 11.13/11.38  % Tautologies deleted: 18
% 11.13/11.38  % Forward subsumed   : 607
% 11.13/11.38  % Backward subsumed  : 2
% 11.13/11.38  % -------- CPU Time ---------
% 11.13/11.38  % User time          : 10.951 s
% 11.13/11.38  % System time        : 0.061 s
% 11.13/11.38  % Total time         : 11.012 s
%------------------------------------------------------------------------------