TSTP Solution File: CAT010-1 by Drodi---3.6.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : CAT010-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n005.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 20:13:19 EDT 2024

% Result   : Unsatisfiable 0.22s 0.48s
% Output   : CNFRefutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   30
% Syntax   : Number of formulae    :  132 (  47 unt;   0 def)
%            Number of atoms       :  247 (  14 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :  209 (  94   ~; 102   |;   0   &)
%                                         (  13 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   3 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number of predicates  :   18 (  16 usr;  14 prp; 0-3 aty)
%            Number of functors    :    5 (   5 usr;   2 con; 0-2 aty)
%            Number of variables   :  137 ( 137   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X,Y] :
      ( ~ defined(X,Y)
      | product(X,Y,compose(X,Y)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f2,axiom,
    ! [X,Y,Z] :
      ( ~ product(X,Y,Z)
      | defined(X,Y) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f3,axiom,
    ! [X,Y,Xy,Z] :
      ( ~ product(X,Y,Xy)
      | ~ defined(Xy,Z)
      | defined(Y,Z) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f4,axiom,
    ! [X,Y,Xy,Z,Yz] :
      ( ~ product(X,Y,Xy)
      | ~ product(Y,Z,Yz)
      | ~ defined(Xy,Z)
      | defined(X,Yz) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f6,axiom,
    ! [Y,Z,Yz,X] :
      ( ~ product(Y,Z,Yz)
      | ~ defined(X,Yz)
      | defined(X,Y) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f7,axiom,
    ! [Y,Z,Yz,X,Xy] :
      ( ~ product(Y,Z,Yz)
      | ~ product(X,Y,Xy)
      | ~ defined(X,Yz)
      | defined(Xy,Z) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f10,axiom,
    ! [X] : identity_map(domain(X)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f11,axiom,
    ! [X] : identity_map(codomain(X)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f12,axiom,
    ! [X] : defined(X,domain(X)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f13,axiom,
    ! [X] : defined(codomain(X),X),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f14,axiom,
    ! [X] : product(X,domain(X),X),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f15,axiom,
    ! [X] : product(codomain(X),X,X),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f16,axiom,
    ! [X,Y] :
      ( ~ defined(X,Y)
      | ~ identity_map(X)
      | product(X,Y,Y) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f17,axiom,
    ! [X,Y] :
      ( ~ defined(X,Y)
      | ~ identity_map(Y)
      | product(X,Y,X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f18,axiom,
    ! [X,Y,Z,W] :
      ( ~ product(X,Y,Z)
      | ~ product(X,Y,W)
      | Z = W ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f19,hypothesis,
    defined(b,a),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f20,negated_conjecture,
    codomain(compose(b,a)) != codomain(b),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f21,plain,
    ! [X0,X1] :
      ( ~ defined(X0,X1)
      | product(X0,X1,compose(X0,X1)) ),
    inference(cnf_transformation,[status(esa)],[f1]) ).

fof(f22,plain,
    ! [X,Y] :
      ( ! [Z] : ~ product(X,Y,Z)
      | defined(X,Y) ),
    inference(miniscoping,[status(esa)],[f2]) ).

fof(f23,plain,
    ! [X0,X1,X2] :
      ( ~ product(X0,X1,X2)
      | defined(X0,X1) ),
    inference(cnf_transformation,[status(esa)],[f22]) ).

fof(f24,plain,
    ! [Y,Z] :
      ( ! [Xy] :
          ( ! [X] : ~ product(X,Y,Xy)
          | ~ defined(Xy,Z) )
      | defined(Y,Z) ),
    inference(miniscoping,[status(esa)],[f3]) ).

fof(f25,plain,
    ! [X0,X1,X2,X3] :
      ( ~ product(X0,X1,X2)
      | ~ defined(X2,X3)
      | defined(X1,X3) ),
    inference(cnf_transformation,[status(esa)],[f24]) ).

fof(f26,plain,
    ! [X,Yz] :
      ( ! [Xy,Z] :
          ( ! [Y] :
              ( ~ product(X,Y,Xy)
              | ~ product(Y,Z,Yz) )
          | ~ defined(Xy,Z) )
      | defined(X,Yz) ),
    inference(miniscoping,[status(esa)],[f4]) ).

fof(f27,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ product(X0,X1,X2)
      | ~ product(X1,X3,X4)
      | ~ defined(X2,X3)
      | defined(X0,X4) ),
    inference(cnf_transformation,[status(esa)],[f26]) ).

fof(f30,plain,
    ! [Y,X] :
      ( ! [Yz] :
          ( ! [Z] : ~ product(Y,Z,Yz)
          | ~ defined(X,Yz) )
      | defined(X,Y) ),
    inference(miniscoping,[status(esa)],[f6]) ).

fof(f31,plain,
    ! [X0,X1,X2,X3] :
      ( ~ product(X0,X1,X2)
      | ~ defined(X3,X2)
      | defined(X3,X0) ),
    inference(cnf_transformation,[status(esa)],[f30]) ).

fof(f32,plain,
    ! [Z,Xy] :
      ( ! [Yz,X] :
          ( ! [Y] :
              ( ~ product(Y,Z,Yz)
              | ~ product(X,Y,Xy) )
          | ~ defined(X,Yz) )
      | defined(Xy,Z) ),
    inference(miniscoping,[status(esa)],[f7]) ).

fof(f33,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ product(X0,X1,X2)
      | ~ product(X3,X0,X4)
      | ~ defined(X3,X2)
      | defined(X4,X1) ),
    inference(cnf_transformation,[status(esa)],[f32]) ).

fof(f38,plain,
    ! [X0] : identity_map(domain(X0)),
    inference(cnf_transformation,[status(esa)],[f10]) ).

fof(f39,plain,
    ! [X0] : identity_map(codomain(X0)),
    inference(cnf_transformation,[status(esa)],[f11]) ).

fof(f40,plain,
    ! [X0] : defined(X0,domain(X0)),
    inference(cnf_transformation,[status(esa)],[f12]) ).

fof(f41,plain,
    ! [X0] : defined(codomain(X0),X0),
    inference(cnf_transformation,[status(esa)],[f13]) ).

fof(f42,plain,
    ! [X0] : product(X0,domain(X0),X0),
    inference(cnf_transformation,[status(esa)],[f14]) ).

fof(f43,plain,
    ! [X0] : product(codomain(X0),X0,X0),
    inference(cnf_transformation,[status(esa)],[f15]) ).

fof(f44,plain,
    ! [X0,X1] :
      ( ~ defined(X0,X1)
      | ~ identity_map(X0)
      | product(X0,X1,X1) ),
    inference(cnf_transformation,[status(esa)],[f16]) ).

fof(f45,plain,
    ! [X0,X1] :
      ( ~ defined(X0,X1)
      | ~ identity_map(X1)
      | product(X0,X1,X0) ),
    inference(cnf_transformation,[status(esa)],[f17]) ).

fof(f46,plain,
    ! [Z,W] :
      ( ! [X,Y] :
          ( ~ product(X,Y,Z)
          | ~ product(X,Y,W) )
      | Z = W ),
    inference(miniscoping,[status(esa)],[f18]) ).

fof(f47,plain,
    ! [X0,X1,X2,X3] :
      ( ~ product(X0,X1,X2)
      | ~ product(X0,X1,X3)
      | X2 = X3 ),
    inference(cnf_transformation,[status(esa)],[f46]) ).

fof(f48,plain,
    defined(b,a),
    inference(cnf_transformation,[status(esa)],[f19]) ).

fof(f49,plain,
    codomain(compose(b,a)) != codomain(b),
    inference(cnf_transformation,[status(esa)],[f20]) ).

fof(f50,plain,
    product(b,a,compose(b,a)),
    inference(resolution,[status(thm)],[f21,f48]) ).

fof(f67,plain,
    ! [X0] :
      ( ~ identity_map(X0)
      | product(X0,domain(X0),domain(X0)) ),
    inference(resolution,[status(thm)],[f44,f40]) ).

fof(f76,plain,
    ! [X0] :
      ( ~ identity_map(X0)
      | product(codomain(X0),X0,codomain(X0)) ),
    inference(resolution,[status(thm)],[f45,f41]) ).

fof(f78,plain,
    ! [X0] : product(codomain(domain(X0)),domain(X0),codomain(domain(X0))),
    inference(resolution,[status(thm)],[f76,f38]) ).

fof(f79,plain,
    ! [X0] : product(codomain(codomain(X0)),codomain(X0),codomain(codomain(X0))),
    inference(resolution,[status(thm)],[f76,f39]) ).

fof(f86,plain,
    ! [X0,X1] :
      ( ~ product(codomain(X0),X0,X1)
      | X0 = X1 ),
    inference(resolution,[status(thm)],[f47,f43]) ).

fof(f88,plain,
    ! [X0,X1] :
      ( ~ product(X0,domain(X0),X1)
      | X0 = X1 ),
    inference(resolution,[status(thm)],[f47,f42]) ).

fof(f89,plain,
    ! [X0] : codomain(X0) = codomain(codomain(X0)),
    inference(resolution,[status(thm)],[f86,f79]) ).

fof(f90,plain,
    ! [X0] : domain(X0) = codomain(domain(X0)),
    inference(resolution,[status(thm)],[f86,f78]) ).

fof(f159,plain,
    ! [X0] :
      ( ~ defined(compose(b,a),X0)
      | defined(a,X0) ),
    inference(resolution,[status(thm)],[f25,f50]) ).

fof(f160,plain,
    ! [X0,X1] :
      ( ~ defined(X0,X1)
      | defined(domain(X0),X1) ),
    inference(resolution,[status(thm)],[f25,f42]) ).

fof(f166,plain,
    ! [X0,X1,X2] :
      ( ~ product(X0,X1,X2)
      | ~ defined(X0,X1)
      | defined(codomain(X0),X2) ),
    inference(resolution,[status(thm)],[f27,f43]) ).

fof(f167,plain,
    ! [X0,X1,X2] :
      ( ~ product(X0,X1,X2)
      | defined(codomain(X0),X2) ),
    inference(forward_subsumption_resolution,[status(thm)],[f166,f23]) ).

fof(f176,plain,
    defined(codomain(b),compose(b,a)),
    inference(resolution,[status(thm)],[f167,f50]) ).

fof(f190,plain,
    ( spl0_6
  <=> identity_map(codomain(b)) ),
    introduced(split_symbol_definition) ).

fof(f192,plain,
    ( ~ identity_map(codomain(b))
    | spl0_6 ),
    inference(component_clause,[status(thm)],[f190]) ).

fof(f199,plain,
    ( $false
    | spl0_6 ),
    inference(forward_subsumption_resolution,[status(thm)],[f192,f39]) ).

fof(f200,plain,
    spl0_6,
    inference(contradiction_clause,[status(thm)],[f199]) ).

fof(f235,plain,
    defined(a,domain(compose(b,a))),
    inference(resolution,[status(thm)],[f159,f40]) ).

fof(f265,plain,
    ( spl0_12
  <=> defined(a,domain(domain(compose(b,a)))) ),
    introduced(split_symbol_definition) ).

fof(f267,plain,
    ( ~ defined(a,domain(domain(compose(b,a))))
    | spl0_12 ),
    inference(component_clause,[status(thm)],[f265]) ).

fof(f353,plain,
    defined(domain(b),a),
    inference(resolution,[status(thm)],[f160,f48]) ).

fof(f356,plain,
    ! [X0] : defined(domain(codomain(X0)),X0),
    inference(resolution,[status(thm)],[f160,f41]) ).

fof(f377,plain,
    ! [X0] :
      ( ~ identity_map(domain(codomain(X0)))
      | product(domain(codomain(X0)),X0,X0) ),
    inference(resolution,[status(thm)],[f356,f44]) ).

fof(f378,plain,
    ! [X0] : product(domain(codomain(X0)),X0,X0),
    inference(forward_subsumption_resolution,[status(thm)],[f377,f38]) ).

fof(f455,plain,
    ! [X0] : product(codomain(X0),domain(codomain(X0)),domain(codomain(X0))),
    inference(resolution,[status(thm)],[f67,f39]) ).

fof(f477,plain,
    ! [X0,X1] :
      ( ~ defined(X0,X1)
      | defined(X0,domain(codomain(X1))) ),
    inference(resolution,[status(thm)],[f31,f378]) ).

fof(f478,plain,
    ! [X0] :
      ( ~ defined(X0,compose(b,a))
      | defined(X0,b) ),
    inference(resolution,[status(thm)],[f31,f50]) ).

fof(f481,plain,
    ! [X0,X1] :
      ( ~ defined(X0,X1)
      | defined(X0,codomain(X1)) ),
    inference(resolution,[status(thm)],[f31,f43]) ).

fof(f494,plain,
    ! [X0,X1,X2] :
      ( ~ product(X0,X1,X2)
      | ~ defined(X0,X1)
      | defined(X2,domain(X1)) ),
    inference(resolution,[status(thm)],[f33,f42]) ).

fof(f495,plain,
    ! [X0,X1,X2] :
      ( ~ product(X0,X1,X2)
      | defined(X2,domain(X1)) ),
    inference(forward_subsumption_resolution,[status(thm)],[f494,f23]) ).

fof(f683,plain,
    ( spl0_38
  <=> identity_map(codomain(compose(b,a))) ),
    introduced(split_symbol_definition) ).

fof(f685,plain,
    ( ~ identity_map(codomain(compose(b,a)))
    | spl0_38 ),
    inference(component_clause,[status(thm)],[f683]) ).

fof(f692,plain,
    ( $false
    | spl0_38 ),
    inference(forward_subsumption_resolution,[status(thm)],[f685,f39]) ).

fof(f693,plain,
    spl0_38,
    inference(contradiction_clause,[status(thm)],[f692]) ).

fof(f779,plain,
    ( spl0_51
  <=> defined(codomain(codomain(b)),compose(b,a)) ),
    introduced(split_symbol_definition) ).

fof(f781,plain,
    ( ~ defined(codomain(codomain(b)),compose(b,a))
    | spl0_51 ),
    inference(component_clause,[status(thm)],[f779]) ).

fof(f786,plain,
    ( ~ defined(codomain(b),compose(b,a))
    | spl0_51 ),
    inference(forward_demodulation,[status(thm)],[f89,f781]) ).

fof(f787,plain,
    ( $false
    | spl0_51 ),
    inference(forward_subsumption_resolution,[status(thm)],[f786,f176]) ).

fof(f788,plain,
    spl0_51,
    inference(contradiction_clause,[status(thm)],[f787]) ).

fof(f832,plain,
    defined(codomain(b),codomain(compose(b,a))),
    inference(resolution,[status(thm)],[f481,f176]) ).

fof(f847,plain,
    ( spl0_53
  <=> identity_map(domain(domain(domain(b)))) ),
    introduced(split_symbol_definition) ).

fof(f849,plain,
    ( ~ identity_map(domain(domain(domain(b))))
    | spl0_53 ),
    inference(component_clause,[status(thm)],[f847]) ).

fof(f856,plain,
    ( $false
    | spl0_53 ),
    inference(forward_subsumption_resolution,[status(thm)],[f849,f38]) ).

fof(f857,plain,
    spl0_53,
    inference(contradiction_clause,[status(thm)],[f856]) ).

fof(f882,plain,
    defined(a,domain(codomain(domain(compose(b,a))))),
    inference(resolution,[status(thm)],[f477,f235]) ).

fof(f883,plain,
    defined(a,domain(domain(compose(b,a)))),
    inference(forward_demodulation,[status(thm)],[f90,f882]) ).

fof(f884,plain,
    ( $false
    | spl0_12 ),
    inference(forward_subsumption_resolution,[status(thm)],[f883,f267]) ).

fof(f885,plain,
    spl0_12,
    inference(contradiction_clause,[status(thm)],[f884]) ).

fof(f941,plain,
    ( spl0_55
  <=> defined(compose(b,a),domain(domain(a))) ),
    introduced(split_symbol_definition) ).

fof(f943,plain,
    ( ~ defined(compose(b,a),domain(domain(a)))
    | spl0_55 ),
    inference(component_clause,[status(thm)],[f941]) ).

fof(f1114,plain,
    ! [X0] : codomain(X0) = domain(codomain(X0)),
    inference(resolution,[status(thm)],[f455,f88]) ).

fof(f1169,plain,
    ! [X0] : codomain(domain(X0)) = domain(domain(X0)),
    inference(paramodulation,[status(thm)],[f90,f1114]) ).

fof(f1170,plain,
    ! [X0] : domain(X0) = domain(domain(X0)),
    inference(forward_demodulation,[status(thm)],[f90,f1169]) ).

fof(f1330,plain,
    defined(compose(b,a),domain(a)),
    inference(resolution,[status(thm)],[f495,f50]) ).

fof(f1345,plain,
    ( spl0_63
  <=> identity_map(domain(a)) ),
    introduced(split_symbol_definition) ).

fof(f1347,plain,
    ( ~ identity_map(domain(a))
    | spl0_63 ),
    inference(component_clause,[status(thm)],[f1345]) ).

fof(f1359,plain,
    ( $false
    | spl0_63 ),
    inference(forward_subsumption_resolution,[status(thm)],[f1347,f38]) ).

fof(f1360,plain,
    spl0_63,
    inference(contradiction_clause,[status(thm)],[f1359]) ).

fof(f1496,plain,
    ( spl0_77
  <=> defined(domain(b),a) ),
    introduced(split_symbol_definition) ).

fof(f1498,plain,
    ( ~ defined(domain(b),a)
    | spl0_77 ),
    inference(component_clause,[status(thm)],[f1496]) ).

fof(f1544,plain,
    ( $false
    | spl0_77 ),
    inference(forward_subsumption_resolution,[status(thm)],[f1498,f353]) ).

fof(f1545,plain,
    spl0_77,
    inference(contradiction_clause,[status(thm)],[f1544]) ).

fof(f1652,plain,
    defined(codomain(compose(b,a)),b),
    inference(resolution,[status(thm)],[f478,f41]) ).

fof(f1733,plain,
    ( spl0_97
  <=> product(codomain(b),codomain(compose(b,a)),codomain(b)) ),
    introduced(split_symbol_definition) ).

fof(f1734,plain,
    ( product(codomain(b),codomain(compose(b,a)),codomain(b))
    | ~ spl0_97 ),
    inference(component_clause,[status(thm)],[f1733]) ).

fof(f1736,plain,
    ( ~ identity_map(codomain(compose(b,a)))
    | product(codomain(b),codomain(compose(b,a)),codomain(b)) ),
    inference(resolution,[status(thm)],[f832,f45]) ).

fof(f1737,plain,
    ( ~ spl0_38
    | spl0_97 ),
    inference(split_clause,[status(thm)],[f1736,f683,f1733]) ).

fof(f1738,plain,
    ( spl0_98
  <=> product(codomain(b),codomain(compose(b,a)),codomain(compose(b,a))) ),
    introduced(split_symbol_definition) ).

fof(f1739,plain,
    ( product(codomain(b),codomain(compose(b,a)),codomain(compose(b,a)))
    | ~ spl0_98 ),
    inference(component_clause,[status(thm)],[f1738]) ).

fof(f1741,plain,
    ( ~ identity_map(codomain(b))
    | product(codomain(b),codomain(compose(b,a)),codomain(compose(b,a))) ),
    inference(resolution,[status(thm)],[f832,f44]) ).

fof(f1742,plain,
    ( ~ spl0_6
    | spl0_98 ),
    inference(split_clause,[status(thm)],[f1741,f190,f1738]) ).

fof(f2172,plain,
    ( spl0_104
  <=> defined(codomain(compose(b,a)),b) ),
    introduced(split_symbol_definition) ).

fof(f2174,plain,
    ( ~ defined(codomain(compose(b,a)),b)
    | spl0_104 ),
    inference(component_clause,[status(thm)],[f2172]) ).

fof(f2198,plain,
    ( $false
    | spl0_104 ),
    inference(forward_subsumption_resolution,[status(thm)],[f2174,f1652]) ).

fof(f2199,plain,
    spl0_104,
    inference(contradiction_clause,[status(thm)],[f2198]) ).

fof(f2252,plain,
    ( ~ defined(compose(b,a),domain(a))
    | spl0_55 ),
    inference(forward_demodulation,[status(thm)],[f1170,f943]) ).

fof(f2253,plain,
    ( $false
    | spl0_55 ),
    inference(forward_subsumption_resolution,[status(thm)],[f2252,f1330]) ).

fof(f2254,plain,
    spl0_55,
    inference(contradiction_clause,[status(thm)],[f2253]) ).

fof(f2427,plain,
    ! [X0] :
      ( ~ product(codomain(b),codomain(compose(b,a)),X0)
      | codomain(b) = X0
      | ~ spl0_97 ),
    inference(resolution,[status(thm)],[f1734,f47]) ).

fof(f2654,plain,
    ( spl0_113
  <=> identity_map(domain(compose(compose(b,a),domain(a)))) ),
    introduced(split_symbol_definition) ).

fof(f2656,plain,
    ( ~ identity_map(domain(compose(compose(b,a),domain(a))))
    | spl0_113 ),
    inference(component_clause,[status(thm)],[f2654]) ).

fof(f2682,plain,
    ( $false
    | spl0_113 ),
    inference(forward_subsumption_resolution,[status(thm)],[f2656,f38]) ).

fof(f2683,plain,
    spl0_113,
    inference(contradiction_clause,[status(thm)],[f2682]) ).

fof(f2687,plain,
    ( spl0_118
  <=> identity_map(codomain(compose(a,domain(compose(b,a))))) ),
    introduced(split_symbol_definition) ).

fof(f2689,plain,
    ( ~ identity_map(codomain(compose(a,domain(compose(b,a)))))
    | spl0_118 ),
    inference(component_clause,[status(thm)],[f2687]) ).

fof(f2715,plain,
    ( $false
    | spl0_118 ),
    inference(forward_subsumption_resolution,[status(thm)],[f2689,f39]) ).

fof(f2716,plain,
    spl0_118,
    inference(contradiction_clause,[status(thm)],[f2715]) ).

fof(f2737,plain,
    ( codomain(b) = codomain(compose(b,a))
    | ~ spl0_97
    | ~ spl0_98 ),
    inference(resolution,[status(thm)],[f2427,f1739]) ).

fof(f2738,plain,
    ( $false
    | ~ spl0_97
    | ~ spl0_98 ),
    inference(forward_subsumption_resolution,[status(thm)],[f2737,f49]) ).

fof(f2739,plain,
    ( ~ spl0_97
    | ~ spl0_98 ),
    inference(contradiction_clause,[status(thm)],[f2738]) ).

fof(f2740,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f200,f693,f788,f857,f885,f1360,f1545,f1737,f1742,f2199,f2254,f2683,f2716,f2739]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13  % Problem  : CAT010-1 : TPTP v8.1.2. Released v1.0.0.
% 0.11/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.35  % Computer : n005.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Mon Apr 29 22:10:56 EDT 2024
% 0.14/0.35  % CPUTime  : 
% 0.14/0.36  % Drodi V3.6.0
% 0.22/0.48  % Refutation found
% 0.22/0.48  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.22/0.48  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.22/0.50  % Elapsed time: 0.143351 seconds
% 0.22/0.50  % CPU time: 1.055096 seconds
% 0.22/0.50  % Total memory used: 32.869 MB
% 0.22/0.50  % Net memory used: 31.055 MB
%------------------------------------------------------------------------------