↑ Up

ConnectPP---0.7.2.THM-Prf.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : ConnectPP---0.7.2
% Problem  : CSR147+1 : TPTP v9.3.1. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox2/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox2/benchmark/theBenchmark.p

% Computer : n018.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Thu Sep 24 08:38:10 AM UTC 2026

% Result   : Theorem 0.12s 0.43s
% Output   : Proof 0.12s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
fof(human_type,axiom,
    ? [A] : s__Human(A),
    file('theBenchmark.p',human_type) ).

fof(living_type,axiom,
    ? [A] : s__LivingThing(A),
    file('theBenchmark.p',living_type) ).

fof(humans_are_living,axiom,
    ! [A] :
      ( s__Human(A)
     => s__LivingThing(A) ),
    file('theBenchmark.p',humans_are_living) ).

fof(geoff_human,axiom,
    s__Human(geoff),
    file('theBenchmark.p',geoff_human) ).

fof(jim_human,axiom,
    s__Human(jim),
    file('theBenchmark.p',jim_human) ).

fof(sibling_type,axiom,
    ! [A] :
      ( s__Human(A)
     => s__Human(s__siblingFn(A)) ),
    file('theBenchmark.p',sibling_type) ).

fof(experience,axiom,
    ! [O,OAge,YAge] :
      ( s__Human(O)
     => ( ( greater(OAge,YAge)
          & s__age(s__siblingFn(O),YAge)
          & s__age(O,OAge) )
       => ( s__has_seen_more(s__siblingFn(O),O)
          | s__more_experienced(O,s__siblingFn(O)) ) ) ),
    file('theBenchmark.p',experience) ).

fof(sibling_symmetry,axiom,
    ! [X,Y] :
      ( ( s__Human(Y)
        & s__Human(X) )
     => ( X = s__siblingFn(Y)
       => Y = s__siblingFn(X) ) ),
    file('theBenchmark.p',sibling_symmetry) ).

fof(geoff_48,axiom,
    s__age(geoff,n48),
    file('theBenchmark.p',geoff_48) ).

fof(jim_54,axiom,
    s__age(jim,n54),
    file('theBenchmark.p',jim_54) ).

fof(greater_54_48,axiom,
    greater(n54,n48),
    file('theBenchmark.p',greater_54_48) ).

fof(geoff_and_jim,axiom,
    geoff = s__siblingFn(jim),
    file('theBenchmark.p',geoff_and_jim) ).

fof(jim_has_seen_more,axiom,
    ~ s__has_seen_more(geoff,jim),
    file('theBenchmark.p',jim_has_seen_more) ).

fof(jim_is_experienced,conjecture,
    s__more_experienced(jim,geoff),
    file('theBenchmark.p',jim_is_experienced) ).

fof(f_1_1,plain,
    ? [A] : s__Human(A),
    inference(fof_nnf,[status(thm)],[human_type]) ).

fof(f_1_2,plain,
    ? [U_0] : s__Human(U_0),
    inference(variable_rename,[status(thm)],[f_1_1]) ).

fof(f_1_3,plain,
    s__Human(sK1),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(U_0,sK1)],[f_1_2]) ).

cnf(f_1_4,plain,
    s__Human(sK1),
    inference(clausify,[status(thm)],[f_1_3]) ).

fof(f_2_1,plain,
    ? [A] : s__LivingThing(A),
    inference(fof_nnf,[status(thm)],[living_type]) ).

fof(f_2_2,plain,
    ? [U_1] : s__LivingThing(U_1),
    inference(variable_rename,[status(thm)],[f_2_1]) ).

fof(f_2_3,plain,
    s__LivingThing(sK2),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(U_1,sK2)],[f_2_2]) ).

cnf(f_2_4,plain,
    s__LivingThing(sK2),
    inference(clausify,[status(thm)],[f_2_3]) ).

fof(f_3_1,plain,
    ! [A] :
      ( s__LivingThing(A)
      | ~ s__Human(A) ),
    inference(fof_nnf,[status(thm)],[humans_are_living]) ).

fof(f_3_2,plain,
    ! [U_2] :
      ( s__LivingThing(U_2)
      | ~ s__Human(U_2) ),
    inference(variable_rename,[status(thm)],[f_3_1]) ).

cnf(f_3_3,plain,
    ( s__LivingThing(U_2)
    | ~ s__Human(U_2) ),
    inference(clausify,[status(thm)],[f_3_2]) ).

fof(f_4_1,plain,
    s__Human(geoff),
    inference(fof_nnf,[status(thm)],[geoff_human]) ).

cnf(f_4_2,plain,
    s__Human(geoff),
    inference(clausify,[status(thm)],[f_4_1]) ).

fof(f_5_1,plain,
    s__Human(jim),
    inference(fof_nnf,[status(thm)],[jim_human]) ).

cnf(f_5_2,plain,
    s__Human(jim),
    inference(clausify,[status(thm)],[f_5_1]) ).

fof(f_6_1,plain,
    ! [A] :
      ( s__Human(s__siblingFn(A))
      | ~ s__Human(A) ),
    inference(fof_nnf,[status(thm)],[sibling_type]) ).

fof(f_6_2,plain,
    ! [U_3] :
      ( s__Human(s__siblingFn(U_3))
      | ~ s__Human(U_3) ),
    inference(variable_rename,[status(thm)],[f_6_1]) ).

cnf(f_6_3,plain,
    ( s__Human(s__siblingFn(U_3))
    | ~ s__Human(U_3) ),
    inference(clausify,[status(thm)],[f_6_2]) ).

fof(f_7_1,plain,
    ! [O,OAge,YAge] :
      ( s__has_seen_more(s__siblingFn(O),O)
      | s__more_experienced(O,s__siblingFn(O))
      | ~ greater(OAge,YAge)
      | ~ s__age(s__siblingFn(O),YAge)
      | ~ s__age(O,OAge)
      | ~ s__Human(O) ),
    inference(fof_nnf,[status(thm)],[experience]) ).

fof(f_7_2,plain,
    ! [U_6,U_5,U_4] :
      ( s__has_seen_more(s__siblingFn(U_6),U_6)
      | s__more_experienced(U_6,s__siblingFn(U_6))
      | ~ greater(U_5,U_4)
      | ~ s__age(s__siblingFn(U_6),U_4)
      | ~ s__age(U_6,U_5)
      | ~ s__Human(U_6) ),
    inference(variable_rename,[status(thm)],[f_7_1]) ).

fof(f_7_3,plain,
    ! [U_6] :
      ( ! [U_5] :
          ( ! [U_4] :
              ( ~ greater(U_5,U_4)
              | ~ s__age(s__siblingFn(U_6),U_4) )
          | ~ s__age(U_6,U_5) )
      | s__has_seen_more(s__siblingFn(U_6),U_6)
      | s__more_experienced(U_6,s__siblingFn(U_6))
      | ~ s__Human(U_6) ),
    inference(miniscope,[status(thm)],[f_7_2]) ).

cnf(f_7_4,plain,
    ( ~ greater(U_5,U_4)
    | ~ s__age(s__siblingFn(U_6),U_4)
    | ~ s__age(U_6,U_5)
    | s__has_seen_more(s__siblingFn(U_6),U_6)
    | s__more_experienced(U_6,s__siblingFn(U_6))
    | ~ s__Human(U_6) ),
    inference(clausify,[status(thm)],[f_7_3]) ).

fof(f_8_1,plain,
    ! [X,Y] :
      ( Y = s__siblingFn(X)
      | X != s__siblingFn(Y)
      | ~ s__Human(Y)
      | ~ s__Human(X) ),
    inference(fof_nnf,[status(thm)],[sibling_symmetry]) ).

fof(f_8_2,plain,
    ! [U_8,U_7] :
      ( U_7 = s__siblingFn(U_8)
      | U_8 != s__siblingFn(U_7)
      | ~ s__Human(U_7)
      | ~ s__Human(U_8) ),
    inference(variable_rename,[status(thm)],[f_8_1]) ).

cnf(f_8_3,plain,
    ( U_7 = s__siblingFn(U_8)
    | U_8 != s__siblingFn(U_7)
    | ~ s__Human(U_7)
    | ~ s__Human(U_8) ),
    inference(clausify,[status(thm)],[f_8_2]) ).

fof(f_9_1,plain,
    s__age(geoff,n48),
    inference(fof_nnf,[status(thm)],[geoff_48]) ).

cnf(f_9_2,plain,
    s__age(geoff,n48),
    inference(clausify,[status(thm)],[f_9_1]) ).

fof(f_10_1,plain,
    s__age(jim,n54),
    inference(fof_nnf,[status(thm)],[jim_54]) ).

cnf(f_10_2,plain,
    s__age(jim,n54),
    inference(clausify,[status(thm)],[f_10_1]) ).

fof(f_11_1,plain,
    greater(n54,n48),
    inference(fof_nnf,[status(thm)],[greater_54_48]) ).

cnf(f_11_2,plain,
    greater(n54,n48),
    inference(clausify,[status(thm)],[f_11_1]) ).

fof(f_12_1,plain,
    geoff = s__siblingFn(jim),
    inference(fof_nnf,[status(thm)],[geoff_and_jim]) ).

cnf(f_12_2,plain,
    geoff = s__siblingFn(jim),
    inference(clausify,[status(thm)],[f_12_1]) ).

fof(f_13_1,plain,
    ~ s__has_seen_more(geoff,jim),
    inference(fof_nnf,[status(thm)],[jim_has_seen_more]) ).

cnf(f_13_2,plain,
    ~ s__has_seen_more(geoff,jim),
    inference(clausify,[status(thm)],[f_13_1]) ).

fof(f_14_1,negated_conjecture,
    ~ s__more_experienced(jim,geoff),
    inference(negate,[status(cth)],[jim_is_experienced]) ).

fof(f_14_2,negated_conjecture,
    ~ s__more_experienced(jim,geoff),
    inference(definitional_conversion,[status(esa)],[f_14_1]) ).

cnf(f_14_3,negated_conjecture,
    ~ s__more_experienced(jim,geoff),
    inference(clausify,[status(thm)],[f_14_2]) ).

cnf(equality_1,axiom,
    Eq_x_0 = Eq_x_0,
    theory(equality,[reflexivity]) ).

cnf(equality_2,axiom,
    ( Eq_x_1 = Eq_x_0
    | Eq_x_0 != Eq_x_1 ),
    theory(equality,[symmetry]) ).

cnf(equality_3,axiom,
    ( Eq_x_0 = Eq_x_2
    | Eq_x_1 != Eq_x_2
    | Eq_x_0 != Eq_x_1 ),
    theory(equality,[transitivity]) ).

cnf(equality_4,axiom,
    ( s__siblingFn(Eq_x_0) = s__siblingFn(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_5,axiom,
    ( s__Human(Eq_y_0)
    | ~ s__Human(Eq_x_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_predicates]) ).

cnf(equality_6,axiom,
    ( s__LivingThing(Eq_y_0)
    | ~ s__LivingThing(Eq_x_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_predicates]) ).

cnf(equality_7,axiom,
    ( s__age(Eq_y_0,Eq_y_1)
    | ~ s__age(Eq_x_0,Eq_x_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_predicates]) ).

cnf(equality_8,axiom,
    ( greater(Eq_y_0,Eq_y_1)
    | ~ greater(Eq_x_0,Eq_x_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_predicates]) ).

cnf(equality_9,axiom,
    ( s__more_experienced(Eq_y_0,Eq_y_1)
    | ~ s__more_experienced(Eq_x_0,Eq_x_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_predicates]) ).

cnf(equality_10,axiom,
    ( s__has_seen_more(Eq_y_0,Eq_y_1)
    | ~ s__has_seen_more(Eq_x_0,Eq_x_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_predicates]) ).

cnf(sat_proved,plain,
    $false,
    inference(cadical,[status(thm)],[]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : CSR147+1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.03  This is a FOF_THM_RFO_SEQ problem
% 0.00/0.04  % Command  : /export/starexec/sandbox2/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.37  % Computer : n018.cluster.edu
% 0.12/0.37  % Model    : x86_64 x86_64
% 0.12/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37  % Memory   : 8046.5625MB
% 0.12/0.37  % OS       : Linux 6.8.0-71-generic
% 0.12/0.37  % CPULimit : 300
% 0.12/0.37  % WCLimit  : 300
% 0.12/0.37  % DateTime : Sun Sep 20 17:40:58 UTC 2026
% 0.12/0.38  % CPUTime  : 
% 0.12/0.43  % SZS status Theorem for theBenchmark
% 0.12/0.43  % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------