TSTP Solution File: LAT281-2 by PyRes---1.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : PyRes---1.5
% Problem  : LAT281-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n014.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 17:29:36 EDT 2024

% Result   : Unsatisfiable 2.33s 2.51s
% Output   : Refutation 2.33s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   10
% Syntax   : Number of clauses     :   19 (  11 unt;   0 nHn;  18 RR)
%            Number of literals    :   33 (  10 equ;  15 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :   12 (  12 usr;   8 con; 0-4 aty)
%            Number of variables   :   18 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(cls_conjecture_2,negated_conjecture,
    ~ c_in(c_Pair(v_a,v_c,t_a,t_a),v_r,tc_prod(t_a,t_a)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).

cnf(reflexivity,axiom,
    X2 = X2,
    theory(equality) ).

cnf(symmetry,axiom,
    ( X4 != X3
    | X3 = X4 ),
    theory(equality) ).

cnf(cls_Tarski_Or_A_61_61_Aorder_Acl_0,axiom,
    v_r = c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Tarski_Or_A_61_61_Aorder_Acl_0) ).

cnf(c7,plain,
    c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit) = v_r,
    inference(resolution,[status(thm)],[cls_Tarski_Or_A_61_61_Aorder_Acl_0,symmetry]) ).

cnf(c5,axiom,
    ( X12 != X14
    | X13 != X15
    | ~ c_Relation_Otrans(X12,X13)
    | c_Relation_Otrans(X14,X15) ),
    theory(equality) ).

cnf(cls_Tarski_Ocl_A_58_APartialOrder_0,axiom,
    c_in(v_cl,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Tarski_Ocl_A_58_APartialOrder_0) ).

cnf(cls_Tarski_OPartialOrder__iff_2,axiom,
    ( ~ c_in(X46,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(X45,tc_Product__Type_Ounit))
    | c_Relation_Otrans(c_Tarski_Opotype_Oorder(X46,X45,tc_Product__Type_Ounit),X45) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Tarski_OPartialOrder__iff_2) ).

cnf(c40,plain,
    c_Relation_Otrans(c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),t_a),
    inference(resolution,[status(thm)],[cls_Tarski_OPartialOrder__iff_2,cls_Tarski_Ocl_A_58_APartialOrder_0]) ).

cnf(c41,plain,
    ( c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit) != X71
    | t_a != X72
    | c_Relation_Otrans(X71,X72) ),
    inference(resolution,[status(thm)],[c40,c5]) ).

cnf(c94,plain,
    ( t_a != X73
    | c_Relation_Otrans(v_r,X73) ),
    inference(resolution,[status(thm)],[c41,c7]) ).

cnf(c95,plain,
    c_Relation_Otrans(v_r,t_a),
    inference(resolution,[status(thm)],[c94,reflexivity]) ).

cnf(cls_conjecture_1,negated_conjecture,
    c_in(c_Pair(v_b,v_c,t_a,t_a),v_r,tc_prod(t_a,t_a)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).

cnf(cls_conjecture_0,negated_conjecture,
    c_in(c_Pair(v_a,v_b,t_a,t_a),v_r,tc_prod(t_a,t_a)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).

cnf(cls_Relation_Otrans__def_0,axiom,
    ( ~ c_Relation_Otrans(X29,X32)
    | ~ c_in(c_Pair(X30,X28,X32,X32),X29,tc_prod(X32,X32))
    | ~ c_in(c_Pair(X31,X30,X32,X32),X29,tc_prod(X32,X32))
    | c_in(c_Pair(X31,X28,X32,X32),X29,tc_prod(X32,X32)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Relation_Otrans__def_0) ).

cnf(c29,plain,
    ( ~ c_Relation_Otrans(v_r,t_a)
    | ~ c_in(c_Pair(v_b,X153,t_a,t_a),v_r,tc_prod(t_a,t_a))
    | c_in(c_Pair(v_a,X153,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
    inference(resolution,[status(thm)],[cls_Relation_Otrans__def_0,cls_conjecture_0]) ).

cnf(c386,plain,
    ( ~ c_Relation_Otrans(v_r,t_a)
    | c_in(c_Pair(v_a,v_c,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
    inference(resolution,[status(thm)],[c29,cls_conjecture_1]) ).

cnf(c7488,plain,
    c_in(c_Pair(v_a,v_c,t_a,t_a),v_r,tc_prod(t_a,t_a)),
    inference(resolution,[status(thm)],[c386,c95]) ).

cnf(c7567,plain,
    $false,
    inference(resolution,[status(thm)],[c7488,cls_conjecture_2]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem  : LAT281-2 : TPTP v8.1.2. Released v3.2.0.
% 0.12/0.13  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.34  % Computer : n014.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 300
% 0.12/0.34  % DateTime : Wed May  8 12:33:38 EDT 2024
% 0.12/0.34  % CPUTime  : 
% 2.33/2.51  % Version:  1.5
% 2.33/2.51  % SZS status Unsatisfiable
% 2.33/2.51  % SZS output start CNFRefutation
% See solution above
% 2.33/2.51  
% 2.33/2.51  % Initial clauses    : 16
% 2.33/2.51  % Processed clauses  : 228
% 2.33/2.51  % Factors computed   : 51
% 2.33/2.51  % Resolvents computed: 7511
% 2.33/2.51  % Tautologies deleted: 3
% 2.33/2.51  % Forward subsumed   : 142
% 2.33/2.51  % Backward subsumed  : 40
% 2.33/2.51  % -------- CPU Time ---------
% 2.33/2.51  % User time          : 2.132 s
% 2.33/2.51  % System time        : 0.033 s
% 2.33/2.51  % Total time         : 2.165 s
%------------------------------------------------------------------------------