%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : COL091-1 : TPTP v8.1.2. Released v2.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n023.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 : Tue Apr 30 20:13:49 EDT 2024

% Result   : Unsatisfiable 0.13s 0.35s
% Output   : CNFRefutation 0.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   14
% Syntax   : Number of formulae    :   47 (  11 unt;   0 def)
%            Number of atoms       :   93 (  16 equ)
%            Maximal formula atoms :    5 (   1 avg)
%            Number of connectives :   88 (  42   ~;  42   |;   0   &)
%                                         (   4 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   11 (   9 usr;   5 prp; 0-3 aty)
%            Number of functors    :   11 (  11 usr;   5 con; 0-3 aty)
%            Number of variables   :   47 (  47   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2,axiom,
    ! [P,Q] : combK != comb_app(P,Q),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f15,axiom,
    ! [P,Q,R] :
      ( ~ member(pair(comb_app(P,Q),R),contract)
      | ap_contractE_c1(P,Q,R)
      | ap_contractE_c2(P,Q,R)
      | ap_contractE_c3(P,Q,R)
      | ap_contractE_c4(P,Q,R) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f18,axiom,
    ! [P,Q,R] :
      ( ~ ap_contractE_c1(P,Q,R)
      | P = comb_app(combK,R) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f23,axiom,
    ! [P,Q,R] :
      ( ~ ap_contractE_c2(P,Q,R)
      | P = comb_app(comb_app(combS,ap_contractE_sk1p(P,Q,R)),ap_contractE_sk1q(P,Q,R)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f24,axiom,
    ! [P,Q,R] :
      ( ~ ap_contractE_c3(P,Q,R)
      | member(pair(P,ap_contractE_sk2q(P,Q,R)),contract) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f27,axiom,
    ! [P,Q,R] :
      ( ~ ap_contractE_c4(P,Q,R)
      | member(pair(Q,ap_contractE_sk3q(P,Q,R)),contract) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f29,axiom,
    ! [P,Q,R] :
      ( ~ ap_contractE_c4(P,Q,R)
      | R = comb_app(P,ap_contractE_sk3q(P,Q,R)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f30,axiom,
    ! [R] : ~ member(pair(combK,R),contract),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f32,hypothesis,
    member(pair(comb_app(combK,p),r),contract),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f33,negated_conjecture,
    ! [Q] :
      ( r != comb_app(combK,Q)
      | ~ member(pair(p,Q),contract) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f35,plain,
    ! [X0,X1] : combK != comb_app(X0,X1),
    inference(cnf_transformation,[status(esa)],[f2]) ).

fof(f52,plain,
    ! [X0,X1,X2] :
      ( ~ member(pair(comb_app(X0,X1),X2),contract)
      | ap_contractE_c1(X0,X1,X2)
      | ap_contractE_c2(X0,X1,X2)
      | ap_contractE_c3(X0,X1,X2)
      | ap_contractE_c4(X0,X1,X2) ),
    inference(cnf_transformation,[status(esa)],[f15]) ).

fof(f57,plain,
    ! [P,R] :
      ( ! [Q] : ~ ap_contractE_c1(P,Q,R)
      | P = comb_app(combK,R) ),
    inference(miniscoping,[status(esa)],[f18]) ).

fof(f58,plain,
    ! [X0,X1,X2] :
      ( ~ ap_contractE_c1(X0,X1,X2)
      | X0 = comb_app(combK,X2) ),
    inference(cnf_transformation,[status(esa)],[f57]) ).

fof(f64,plain,
    ! [X0,X1,X2] :
      ( ~ ap_contractE_c2(X0,X1,X2)
      | X0 = comb_app(comb_app(combS,ap_contractE_sk1p(X0,X1,X2)),ap_contractE_sk1q(X0,X1,X2)) ),
    inference(cnf_transformation,[status(esa)],[f23]) ).

fof(f65,plain,
    ! [X0,X1,X2] :
      ( ~ ap_contractE_c3(X0,X1,X2)
      | member(pair(X0,ap_contractE_sk2q(X0,X1,X2)),contract) ),
    inference(cnf_transformation,[status(esa)],[f24]) ).

fof(f69,plain,
    ! [X0,X1,X2] :
      ( ~ ap_contractE_c4(X0,X1,X2)
      | member(pair(X1,ap_contractE_sk3q(X0,X1,X2)),contract) ),
    inference(cnf_transformation,[status(esa)],[f27]) ).

fof(f72,plain,
    ! [X0,X1,X2] :
      ( ~ ap_contractE_c4(X0,X1,X2)
      | X2 = comb_app(X0,ap_contractE_sk3q(X0,X1,X2)) ),
    inference(cnf_transformation,[status(esa)],[f29]) ).

fof(f73,plain,
    ! [X0] : ~ member(pair(combK,X0),contract),
    inference(cnf_transformation,[status(esa)],[f30]) ).

fof(f75,plain,
    member(pair(comb_app(combK,p),r),contract),
    inference(cnf_transformation,[status(esa)],[f32]) ).

fof(f76,plain,
    ! [X0] :
      ( r != comb_app(combK,X0)
      | ~ member(pair(p,X0),contract) ),
    inference(cnf_transformation,[status(esa)],[f33]) ).

fof(f102,plain,
    ( spl0_2
  <=> ap_contractE_c1(combK,p,r) ),
    introduced(split_symbol_definition) ).

fof(f103,plain,
    ( ap_contractE_c1(combK,p,r)
    | ~ spl0_2 ),
    inference(component_clause,[status(thm)],[f102]) ).

fof(f105,plain,
    ( spl0_3
  <=> ap_contractE_c2(combK,p,r) ),
    introduced(split_symbol_definition) ).

fof(f106,plain,
    ( ap_contractE_c2(combK,p,r)
    | ~ spl0_3 ),
    inference(component_clause,[status(thm)],[f105]) ).

fof(f108,plain,
    ( spl0_4
  <=> ap_contractE_c3(combK,p,r) ),
    introduced(split_symbol_definition) ).

fof(f109,plain,
    ( ap_contractE_c3(combK,p,r)
    | ~ spl0_4 ),
    inference(component_clause,[status(thm)],[f108]) ).

fof(f111,plain,
    ( spl0_5
  <=> ap_contractE_c4(combK,p,r) ),
    introduced(split_symbol_definition) ).

fof(f112,plain,
    ( ap_contractE_c4(combK,p,r)
    | ~ spl0_5 ),
    inference(component_clause,[status(thm)],[f111]) ).

fof(f114,plain,
    ( ap_contractE_c1(combK,p,r)
    | ap_contractE_c2(combK,p,r)
    | ap_contractE_c3(combK,p,r)
    | ap_contractE_c4(combK,p,r) ),
    inference(resolution,[status(thm)],[f52,f75]) ).

fof(f115,plain,
    ( spl0_2
    | spl0_3
    | spl0_4
    | spl0_5 ),
    inference(split_clause,[status(thm)],[f114,f102,f105,f108,f111]) ).

fof(f116,plain,
    ( member(pair(p,ap_contractE_sk3q(combK,p,r)),contract)
    | ~ spl0_5 ),
    inference(resolution,[status(thm)],[f112,f69]) ).

fof(f117,plain,
    ( r = comb_app(combK,ap_contractE_sk3q(combK,p,r))
    | ~ spl0_5 ),
    inference(resolution,[status(thm)],[f112,f72]) ).

fof(f119,plain,
    ( r != comb_app(combK,ap_contractE_sk3q(combK,p,r))
    | ~ spl0_5 ),
    inference(resolution,[status(thm)],[f116,f76]) ).

fof(f120,plain,
    ( r != r
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f117,f119]) ).

fof(f121,plain,
    ( $false
    | ~ spl0_5 ),
    inference(trivial_equality_resolution,[status(esa)],[f120]) ).

fof(f122,plain,
    ~ spl0_5,
    inference(contradiction_clause,[status(thm)],[f121]) ).

fof(f123,plain,
    ( member(pair(combK,ap_contractE_sk2q(combK,p,r)),contract)
    | ~ spl0_4 ),
    inference(resolution,[status(thm)],[f109,f65]) ).

fof(f124,plain,
    ( $false
    | ~ spl0_4 ),
    inference(forward_subsumption_resolution,[status(thm)],[f123,f73]) ).

fof(f125,plain,
    ~ spl0_4,
    inference(contradiction_clause,[status(thm)],[f124]) ).

fof(f126,plain,
    ( combK = comb_app(combK,r)
    | ~ spl0_2 ),
    inference(resolution,[status(thm)],[f103,f58]) ).

fof(f127,plain,
    ( $false
    | ~ spl0_2 ),
    inference(forward_subsumption_resolution,[status(thm)],[f126,f35]) ).

fof(f128,plain,
    ~ spl0_2,
    inference(contradiction_clause,[status(thm)],[f127]) ).

fof(f130,plain,
    ( combK = comb_app(comb_app(combS,ap_contractE_sk1p(combK,p,r)),ap_contractE_sk1q(combK,p,r))
    | ~ spl0_3 ),
    inference(resolution,[status(thm)],[f106,f64]) ).

fof(f131,plain,
    ( $false
    | ~ spl0_3 ),
    inference(forward_subsumption_resolution,[status(thm)],[f130,f35]) ).

fof(f132,plain,
    ~ spl0_3,
    inference(contradiction_clause,[status(thm)],[f131]) ).

fof(f133,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f115,f122,f125,f128,f132]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : COL091-1 : TPTP v8.1.2. Released v2.7.0.
% 0.07/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34  % Computer : n023.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Mon Apr 29 22:41:40 EDT 2024
% 0.13/0.34  % CPUTime  : 
% 0.13/0.35  % Drodi V3.6.0
% 0.13/0.35  % Refutation found
% 0.13/0.35  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.35  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.37  % Elapsed time: 0.020990 seconds
% 0.13/0.37  % CPU time: 0.040584 seconds
% 0.13/0.37  % Total memory used: 11.331 MB
% 0.13/0.37  % Net memory used: 11.274 MB
%------------------------------------------------------------------------------