%------------------------------------------------------------------------------
% File     : PyRes---1.5
% Problem  : ALG350-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n003.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 17:15:14 EDT 2024

% Result   : Unsatisfiable 3.13s 3.35s
% Output   : Refutation 3.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   13 (   8 unt;   2 nHn;  11 RR)
%            Number of literals    :   20 (   0 equ;   9 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    6 (   5 usr;   1 prp; 0-3 aty)
%            Number of functors    :    5 (   5 usr;   4 con; 0-2 aty)
%            Number of variables   :    9 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(clsarity_RealDef__Oreal__Orderings_Opreorder,axiom,
    class_Orderings_Opreorder(tc_RealDef_Oreal),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__Orderings_Opreorder) ).

cnf(cls_order__less__asym_H_0,axiom,
    ( ~ class_Orderings_Opreorder(X2104)
    | ~ c_HOL_Oord__class_Oless(X2102,X2103,X2104)
    | ~ c_HOL_Oord__class_Oless(X2103,X2102,X2104) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_order__less__asym_H_0) ).

cnf(cls_conjecture_1,negated_conjecture,
    ~ c_lessequals(v_xa,v_Y____,tc_RealDef_Oreal),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).

cnf(clsarity_RealDef__Oreal__Orderings_Olinorder,axiom,
    class_Orderings_Olinorder(tc_RealDef_Oreal),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__Orderings_Olinorder) ).

cnf(cls_not__leE_0,axiom,
    ( ~ class_Orderings_Olinorder(X2136)
    | c_HOL_Oord__class_Oless(X2135,X2134,X2136)
    | c_lessequals(X2134,X2135,X2136) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_not__leE_0) ).

cnf(c4805,plain,
    ( c_HOL_Oord__class_Oless(X2137,X2138,tc_RealDef_Oreal)
    | c_lessequals(X2138,X2137,tc_RealDef_Oreal) ),
    inference(resolution,[status(thm)],[cls_not__leE_0,clsarity_RealDef__Oreal__Orderings_Olinorder]) ).

cnf(c4873,plain,
    c_HOL_Oord__class_Oless(v_Y____,v_xa,tc_RealDef_Oreal),
    inference(resolution,[status(thm)],[c4805,cls_conjecture_1]) ).

cnf(c4901,plain,
    ( ~ class_Orderings_Opreorder(tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(v_xa,v_Y____,tc_RealDef_Oreal) ),
    inference(resolution,[status(thm)],[c4873,cls_order__less__asym_H_0]) ).

cnf(cls_conjecture_0,negated_conjecture,
    hBOOL(hAPP(v_P,v_xa)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).

cnf(cls_Y_0,axiom,
    ( c_HOL_Oord__class_Oless(X2692,v_Y____,tc_RealDef_Oreal)
    | ~ hBOOL(hAPP(v_P,X2692)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Y_0) ).

cnf(c7628,plain,
    c_HOL_Oord__class_Oless(v_xa,v_Y____,tc_RealDef_Oreal),
    inference(resolution,[status(thm)],[cls_Y_0,cls_conjecture_0]) ).

cnf(c7640,plain,
    ~ class_Orderings_Opreorder(tc_RealDef_Oreal),
    inference(resolution,[status(thm)],[c7628,c4901]) ).

cnf(c7663,plain,
    $false,
    inference(resolution,[status(thm)],[c7640,clsarity_RealDef__Oreal__Orderings_Opreorder]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : ALG350-1 : TPTP v8.1.2. Released v4.1.0.
% 0.11/0.13  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.33  % Computer : n003.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 300
% 0.13/0.33  % DateTime : Thu May  9 00:49:07 EDT 2024
% 0.13/0.34  % CPUTime  : 
% 3.13/3.35  % Version:  1.5
% 3.13/3.35  % SZS status Unsatisfiable
% 3.13/3.35  % SZS output start CNFRefutation
% See solution above
% 3.13/3.36  
% 3.13/3.36  % Initial clauses    : 433
% 3.13/3.36  % Processed clauses  : 1159
% 3.13/3.36  % Factors computed   : 17
% 3.13/3.36  % Resolvents computed: 7597
% 3.13/3.36  % Tautologies deleted: 36
% 3.13/3.36  % Forward subsumed   : 608
% 3.13/3.36  % Backward subsumed  : 3
% 3.13/3.36  % -------- CPU Time ---------
% 3.13/3.36  % User time          : 2.986 s
% 3.13/3.36  % System time        : 0.024 s
% 3.13/3.36  % Total time         : 3.010 s
%------------------------------------------------------------------------------