TSTP Solution File: LAT259-2 by PyRes---1.3

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : PyRes---1.3
% Problem  : LAT259-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n011.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  : 600s
% DateTime : Sun Jul 17 06:29:56 EDT 2022

% Result   : Unsatisfiable 0.39s 0.64s
% Output   : Refutation 0.39s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named input)

% Comments : 
%------------------------------------------------------------------------------
cnf(cls_conjecture_2,negated_conjecture,
    v_a != v_b,
    input ).

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

cnf(reflexivity,axiom,
    X2 = X2,
    eq_axiom ).

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),
    input ).

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,plain,
    ( X13 != X12
    | X14 != X11
    | ~ c_Relation_Oantisym(X13,X14)
    | c_Relation_Oantisym(X12,X11) ),
    eq_axiom ).

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)),
    input ).

cnf(cls_Tarski_OPartialOrder__iff_1,axiom,
    ( ~ c_in(X34,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(X35,tc_Product__Type_Ounit))
    | c_Relation_Oantisym(c_Tarski_Opotype_Oorder(X34,X35,tc_Product__Type_Ounit),X35) ),
    input ).

cnf(c27,plain,
    c_Relation_Oantisym(c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),t_a),
    inference(resolution,status(thm),[cls_Tarski_OPartialOrder__iff_1,cls_Tarski_Ocl_A_58_APartialOrder_0]) ).

cnf(c28,plain,
    ( c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit) != X64
    | t_a != X63
    | c_Relation_Oantisym(X64,X63) ),
    inference(resolution,status(thm),[c27,c5]) ).

cnf(c71,plain,
    ( t_a != X65
    | c_Relation_Oantisym(v_r,X65) ),
    inference(resolution,status(thm),[c28,c7]) ).

cnf(c72,plain,
    c_Relation_Oantisym(v_r,t_a),
    inference(resolution,status(thm),[c71,reflexivity]) ).

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)),
    input ).

cnf(cls_conjecture_1,negated_conjecture,
    c_in(c_Pair(v_b,v_a,t_a,t_a),v_r,tc_prod(t_a,t_a)),
    input ).

cnf(cls_Relation_Oantisym__def_0,axiom,
    ( ~ c_Relation_Oantisym(X19,X18)
    | ~ c_in(c_Pair(X17,X20,X18,X18),X19,tc_prod(X18,X18))
    | ~ c_in(c_Pair(X20,X17,X18,X18),X19,tc_prod(X18,X18))
    | X20 = X17 ),
    input ).

cnf(c16,plain,
    ( ~ c_Relation_Oantisym(v_r,t_a)
    | ~ c_in(c_Pair(v_a,v_b,t_a,t_a),v_r,tc_prod(t_a,t_a))
    | v_b = v_a ),
    inference(resolution,status(thm),[cls_Relation_Oantisym__def_0,cls_conjecture_1]) ).

cnf(c81,plain,
    ( ~ c_Relation_Oantisym(v_r,t_a)
    | v_b = v_a ),
    inference(resolution,status(thm),[c16,cls_conjecture_0]) ).

cnf(c82,plain,
    v_b = v_a,
    inference(resolution,status(thm),[c81,c72]) ).

cnf(c87,plain,
    v_a = v_b,
    inference(resolution,status(thm),[c82,symmetry]) ).

cnf(c94,plain,
    $false,
    inference(resolution,status(thm),[c87,cls_conjecture_2]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem  : LAT259-2 : TPTP v8.1.0. Released v3.2.0.
% 0.04/0.12  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.33  % Computer : n011.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Thu Jun 30 12:13:03 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.39/0.64  # Version:  1.3
% 0.39/0.64  # SZS status Unsatisfiable
% 0.39/0.64  # SZS output start CNFRefutation
% See solution above
% 0.39/0.64  
% 0.39/0.64  # Initial clauses    : 16
% 0.39/0.64  # Processed clauses  : 36
% 0.39/0.64  # Factors computed   : 0
% 0.39/0.64  # Resolvents computed: 94
% 0.39/0.64  # Tautologies deleted: 1
% 0.39/0.64  # Forward subsumed   : 15
% 0.39/0.64  # Backward subsumed  : 2
% 0.39/0.64  # -------- CPU Time ---------
% 0.39/0.64  # User time          : 0.214 s
% 0.39/0.64  # System time        : 0.021 s
% 0.39/0.64  # Total time         : 0.235 s
%------------------------------------------------------------------------------