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Drodi-SAT---4.1.1.SAT-Sat.s

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%------------------------------------------------------------------------------
% File     : Drodi-SAT---4.1.1
% Problem  : SYN739-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p

% Computer : n016.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 03:20:27 PM UTC 2026

% Result   : Satisfiable 0.14s 10.46s
% Output   : Saturation 0.14s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
    ! [U] : ssRr(U,skf1(U)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f2,negated_conjecture,
    ! [U,V,W] :
      ( ssPv3(W)
      | ssPv8(V)
      | ~ ssPv2(W)
      | ~ ssPv1(W)
      | ~ ssRr(W,U)
      | ~ ssRr(U,V) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f3,negated_conjecture,
    ! [U,V,W] :
      ( ~ ssPv7(W)
      | ~ ssPv6(W)
      | ~ ssPv3(W)
      | ~ ssRr(W,U)
      | ~ ssPv2(V)
      | ~ ssRr(U,V) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f4,negated_conjecture,
    ! [U,V,W,X] :
      ( ssPv2(X)
      | ssPv8(V)
      | ~ ssPv6(W)
      | ~ ssPv4(W)
      | ~ ssRr(W,X)
      | ~ ssRr(W,U)
      | ~ ssRr(U,V) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f5,negated_conjecture,
    ! [U,V,W,X] :
      ( ssPv6(X)
      | ssPv2(V)
      | ~ ssPv7(W)
      | ~ ssPv1(W)
      | ~ ssRr(W,X)
      | ~ ssRr(W,U)
      | ~ ssRr(U,V) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f6,negated_conjecture,
    ! [U,V,W,X] :
      ( ssPv4(V)
      | ~ ssPv7(W)
      | ~ ssPv5(W)
      | ~ ssPv2(X)
      | ~ ssRr(W,X)
      | ~ ssRr(W,U)
      | ~ ssRr(U,V) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f7,negated_conjecture,
    ! [U,V,W,X] :
      ( ssPv6(W)
      | ~ ssPv8(W)
      | ~ ssPv1(X)
      | ~ ssRr(W,X)
      | ~ ssRr(W,U)
      | ~ ssPv5(V)
      | ~ ssRr(U,V) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f8,negated_conjecture,
    ! [U,V,W,X] :
      ( ssPv6(W)
      | ~ ssPv1(W)
      | ~ ssPv4(X)
      | ~ ssRr(W,X)
      | ~ ssRr(W,U)
      | ~ ssPv2(V)
      | ~ ssRr(U,V) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f9,negated_conjecture,
    ! [U,V,W,X,Y] :
      ( ssPv3(W)
      | ssPv1(Y)
      | ssPv2(X)
      | ssPv4(V)
      | ~ ssRr(W,Y)
      | ~ ssRr(W,X)
      | ~ ssRr(W,U)
      | ~ ssRr(U,V) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f10,negated_conjecture,
    ! [U,V,W,X,Y] :
      ( ssPv7(W)
      | ssPv6(W)
      | ssPv2(Y)
      | ~ ssRr(W,X)
      | ~ ssRr(X,Y)
      | ~ ssRr(W,U)
      | ~ ssPv4(V)
      | ~ ssRr(U,V) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f11,negated_conjecture,
    ! [U,V,W,X,Y] :
      ( ssPv7(W)
      | ssPv2(Y)
      | ssPv6(V)
      | ~ ssRr(W,Y)
      | ~ ssPv2(X)
      | ~ ssRr(W,X)
      | ~ ssRr(W,U)
      | ~ ssRr(U,V) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f12,negated_conjecture,
    ! [U,V,W,X,Y] :
      ( ssPv5(W)
      | ssPv2(W)
      | ssPv8(Y)
      | ~ ssRr(W,X)
      | ~ ssRr(X,Y)
      | ~ ssRr(W,U)
      | ~ ssPv5(V)
      | ~ ssRr(U,V) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f13,negated_conjecture,
    ! [U,V,W,X,Y] :
      ( ssPv8(W)
      | ssPv6(Y)
      | ~ ssPv6(W)
      | ~ ssRr(W,X)
      | ~ ssRr(X,Y)
      | ~ ssRr(W,U)
      | ~ ssPv7(V)
      | ~ ssRr(U,V) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f14,negated_conjecture,
    ! [U,V,W,X,Y,Z] :
      ( ssPv8(W)
      | ssPv2(Z)
      | ssPv2(Y)
      | ssPv8(V)
      | ~ ssRr(W,Z)
      | ~ ssRr(W,X)
      | ~ ssRr(X,Y)
      | ~ ssRr(W,U)
      | ~ ssRr(U,V) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f15,negated_conjecture,
    ! [U,V,W,X,Y] :
      ( ~ ssPv8(W)
      | ~ ssPv2(W)
      | ~ ssRr(W,X)
      | ~ ssPv3(Y)
      | ~ ssRr(X,Y)
      | ~ ssRr(W,U)
      | ~ ssPv5(V)
      | ~ ssRr(U,V) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f16,negated_conjecture,
    ! [U,V,W,X,Y,Z] :
      ( ssPv4(W)
      | ssPv1(Z)
      | ssPv8(Y)
      | ~ ssRr(W,Z)
      | ~ ssRr(W,X)
      | ~ ssRr(X,Y)
      | ~ ssRr(W,U)
      | ~ ssPv6(V)
      | ~ ssRr(U,V) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f17,negated_conjecture,
    ! [U,V,W,X,Y,Z] :
      ( ssPv7(Z)
      | ssPv5(Y)
      | ~ ssPv4(W)
      | ~ ssRr(W,Z)
      | ~ ssRr(W,X)
      | ~ ssRr(X,Y)
      | ~ ssRr(W,U)
      | ~ ssPv2(V)
      | ~ ssRr(U,V) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f18,negated_conjecture,
    ! [U,V,W,X,Y,Z] :
      ( ssPv3(Z)
      | ssPv6(Y)
      | ~ ssPv1(W)
      | ~ ssRr(W,Z)
      | ~ ssRr(W,X)
      | ~ ssRr(X,Y)
      | ~ ssRr(W,U)
      | ~ ssPv3(V)
      | ~ ssRr(U,V) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f19,negated_conjecture,
    ! [U,V,W,X,Y,Z] :
      ( ssPv4(W)
      | ~ ssPv2(Z)
      | ~ ssRr(W,Z)
      | ~ ssRr(W,X)
      | ~ ssPv2(Y)
      | ~ ssRr(X,Y)
      | ~ ssRr(W,U)
      | ~ ssPv3(V)
      | ~ ssRr(U,V) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f20,negated_conjecture,
    ! [U,V,W,X,Y,Z] :
      ( ssPv2(Y)
      | ~ ssPv5(W)
      | ~ ssPv7(Z)
      | ~ ssRr(W,Z)
      | ~ ssRr(W,X)
      | ~ ssRr(X,Y)
      | ~ ssRr(W,U)
      | ~ ssPv7(V)
      | ~ ssRr(U,V) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f21,negated_conjecture,
    ! [U,V,W,X,Y,Z,X1] :
      ( ssPv2(W)
      | ssPv2(X1)
      | ssPv6(Y)
      | ~ ssRr(W,Z)
      | ~ ssRr(Z,X1)
      | ~ ssRr(W,X)
      | ~ ssRr(X,Y)
      | ~ ssRr(W,U)
      | ~ ssPv3(V)
      | ~ ssRr(U,V) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f22,plain,
    ! [X0] : ssRr(X0,skf1(X0)),
    inference(cnf_transformation,[status(thm)],[f1]) ).

fof(f23,plain,
    ! [W] :
      ( ssPv3(W)
      | ! [V] :
          ( ssPv8(V)
          | ~ ssPv2(W)
          | ~ ssPv1(W)
          | ! [U] :
              ( ~ ssRr(W,U)
              | ~ ssRr(U,V) ) ) ),
    inference(miniscoping,[status(thm)],[f2]) ).

fof(f24,plain,
    ! [X0,X1,X2] :
      ( ssPv3(X2)
      | ssPv8(X1)
      | ~ ssPv2(X2)
      | ~ ssPv1(X2)
      | ~ ssRr(X2,X0)
      | ~ ssRr(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f23]) ).

fof(f25,plain,
    ! [W] :
      ( ~ ssPv7(W)
      | ~ ssPv6(W)
      | ~ ssPv3(W)
      | ! [U] :
          ( ~ ssRr(W,U)
          | ! [V] :
              ( ~ ssPv2(V)
              | ~ ssRr(U,V) ) ) ),
    inference(miniscoping,[status(thm)],[f3]) ).

fof(f26,plain,
    ! [X0,X1,X2] :
      ( ~ ssPv7(X2)
      | ~ ssPv6(X2)
      | ~ ssPv3(X2)
      | ~ ssRr(X2,X0)
      | ~ ssPv2(X1)
      | ~ ssRr(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f25]) ).

fof(f27,plain,
    ! [X] :
      ( ssPv2(X)
      | ! [V] :
          ( ssPv8(V)
          | ! [W] :
              ( ~ ssPv6(W)
              | ~ ssPv4(W)
              | ~ ssRr(W,X)
              | ! [U] :
                  ( ~ ssRr(W,U)
                  | ~ ssRr(U,V) ) ) ) ),
    inference(miniscoping,[status(thm)],[f4]) ).

fof(f28,plain,
    ! [X0,X1,X2,X3] :
      ( ssPv2(X3)
      | ssPv8(X1)
      | ~ ssPv6(X2)
      | ~ ssPv4(X2)
      | ~ ssRr(X2,X3)
      | ~ ssRr(X2,X0)
      | ~ ssRr(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f27]) ).

fof(f29,plain,
    ! [X] :
      ( ssPv6(X)
      | ! [V] :
          ( ssPv2(V)
          | ! [W] :
              ( ~ ssPv7(W)
              | ~ ssPv1(W)
              | ~ ssRr(W,X)
              | ! [U] :
                  ( ~ ssRr(W,U)
                  | ~ ssRr(U,V) ) ) ) ),
    inference(miniscoping,[status(thm)],[f5]) ).

fof(f30,plain,
    ! [X0,X1,X2,X3] :
      ( ssPv6(X3)
      | ssPv2(X1)
      | ~ ssPv7(X2)
      | ~ ssPv1(X2)
      | ~ ssRr(X2,X3)
      | ~ ssRr(X2,X0)
      | ~ ssRr(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f29]) ).

fof(f31,plain,
    ! [V] :
      ( ssPv4(V)
      | ! [W] :
          ( ~ ssPv7(W)
          | ~ ssPv5(W)
          | ! [X] :
              ( ~ ssPv2(X)
              | ~ ssRr(W,X)
              | ! [U] :
                  ( ~ ssRr(W,U)
                  | ~ ssRr(U,V) ) ) ) ),
    inference(miniscoping,[status(thm)],[f6]) ).

fof(f32,plain,
    ! [X0,X1,X2,X3] :
      ( ssPv4(X1)
      | ~ ssPv7(X2)
      | ~ ssPv5(X2)
      | ~ ssPv2(X3)
      | ~ ssRr(X2,X3)
      | ~ ssRr(X2,X0)
      | ~ ssRr(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f31]) ).

fof(f33,plain,
    ! [W] :
      ( ssPv6(W)
      | ~ ssPv8(W)
      | ! [X] :
          ( ~ ssPv1(X)
          | ~ ssRr(W,X)
          | ! [U] :
              ( ~ ssRr(W,U)
              | ! [V] :
                  ( ~ ssPv5(V)
                  | ~ ssRr(U,V) ) ) ) ),
    inference(miniscoping,[status(thm)],[f7]) ).

fof(f34,plain,
    ! [X0,X1,X2,X3] :
      ( ssPv6(X2)
      | ~ ssPv8(X2)
      | ~ ssPv1(X3)
      | ~ ssRr(X2,X3)
      | ~ ssRr(X2,X0)
      | ~ ssPv5(X1)
      | ~ ssRr(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f33]) ).

fof(f35,plain,
    ! [W] :
      ( ssPv6(W)
      | ~ ssPv1(W)
      | ! [X] :
          ( ~ ssPv4(X)
          | ~ ssRr(W,X)
          | ! [U] :
              ( ~ ssRr(W,U)
              | ! [V] :
                  ( ~ ssPv2(V)
                  | ~ ssRr(U,V) ) ) ) ),
    inference(miniscoping,[status(thm)],[f8]) ).

fof(f36,plain,
    ! [X0,X1,X2,X3] :
      ( ssPv6(X2)
      | ~ ssPv1(X2)
      | ~ ssPv4(X3)
      | ~ ssRr(X2,X3)
      | ~ ssRr(X2,X0)
      | ~ ssPv2(X1)
      | ~ ssRr(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f35]) ).

fof(f37,plain,
    ! [W] :
      ( ssPv3(W)
      | ! [Y] :
          ( ssPv1(Y)
          | ! [X] :
              ( ssPv2(X)
              | ! [V] :
                  ( ssPv4(V)
                  | ~ ssRr(W,Y)
                  | ~ ssRr(W,X)
                  | ! [U] :
                      ( ~ ssRr(W,U)
                      | ~ ssRr(U,V) ) ) ) ) ),
    inference(miniscoping,[status(thm)],[f9]) ).

fof(f38,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ssPv3(X2)
      | ssPv1(X4)
      | ssPv2(X3)
      | ssPv4(X1)
      | ~ ssRr(X2,X4)
      | ~ ssRr(X2,X3)
      | ~ ssRr(X2,X0)
      | ~ ssRr(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f37]) ).

fof(f39,plain,
    ! [W] :
      ( ssPv7(W)
      | ssPv6(W)
      | ! [Y] :
          ( ssPv2(Y)
          | ! [X] :
              ( ~ ssRr(W,X)
              | ~ ssRr(X,Y)
              | ! [U] :
                  ( ~ ssRr(W,U)
                  | ! [V] :
                      ( ~ ssPv4(V)
                      | ~ ssRr(U,V) ) ) ) ) ),
    inference(miniscoping,[status(thm)],[f10]) ).

fof(f40,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ssPv7(X2)
      | ssPv6(X2)
      | ssPv2(X4)
      | ~ ssRr(X2,X3)
      | ~ ssRr(X3,X4)
      | ~ ssRr(X2,X0)
      | ~ ssPv4(X1)
      | ~ ssRr(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f39]) ).

fof(f41,plain,
    ! [W] :
      ( ssPv7(W)
      | ! [Y] :
          ( ssPv2(Y)
          | ! [V] :
              ( ssPv6(V)
              | ~ ssRr(W,Y)
              | ! [X] :
                  ( ~ ssPv2(X)
                  | ~ ssRr(W,X)
                  | ! [U] :
                      ( ~ ssRr(W,U)
                      | ~ ssRr(U,V) ) ) ) ) ),
    inference(miniscoping,[status(thm)],[f11]) ).

fof(f42,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ssPv7(X2)
      | ssPv2(X4)
      | ssPv6(X1)
      | ~ ssRr(X2,X4)
      | ~ ssPv2(X3)
      | ~ ssRr(X2,X3)
      | ~ ssRr(X2,X0)
      | ~ ssRr(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f41]) ).

fof(f43,plain,
    ! [W] :
      ( ssPv5(W)
      | ssPv2(W)
      | ! [Y] :
          ( ssPv8(Y)
          | ! [X] :
              ( ~ ssRr(W,X)
              | ~ ssRr(X,Y)
              | ! [U] :
                  ( ~ ssRr(W,U)
                  | ! [V] :
                      ( ~ ssPv5(V)
                      | ~ ssRr(U,V) ) ) ) ) ),
    inference(miniscoping,[status(thm)],[f12]) ).

fof(f44,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ssPv5(X2)
      | ssPv2(X2)
      | ssPv8(X4)
      | ~ ssRr(X2,X3)
      | ~ ssRr(X3,X4)
      | ~ ssRr(X2,X0)
      | ~ ssPv5(X1)
      | ~ ssRr(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f43]) ).

fof(f45,plain,
    ! [W] :
      ( ssPv8(W)
      | ! [Y] :
          ( ssPv6(Y)
          | ~ ssPv6(W)
          | ! [X] :
              ( ~ ssRr(W,X)
              | ~ ssRr(X,Y)
              | ! [U] :
                  ( ~ ssRr(W,U)
                  | ! [V] :
                      ( ~ ssPv7(V)
                      | ~ ssRr(U,V) ) ) ) ) ),
    inference(miniscoping,[status(thm)],[f13]) ).

fof(f46,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ssPv8(X2)
      | ssPv6(X4)
      | ~ ssPv6(X2)
      | ~ ssRr(X2,X3)
      | ~ ssRr(X3,X4)
      | ~ ssRr(X2,X0)
      | ~ ssPv7(X1)
      | ~ ssRr(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f45]) ).

fof(f47,plain,
    ! [W] :
      ( ssPv8(W)
      | ! [Z] :
          ( ssPv2(Z)
          | ! [Y] :
              ( ssPv2(Y)
              | ! [V] :
                  ( ssPv8(V)
                  | ~ ssRr(W,Z)
                  | ! [X] :
                      ( ~ ssRr(W,X)
                      | ~ ssRr(X,Y)
                      | ! [U] :
                          ( ~ ssRr(W,U)
                          | ~ ssRr(U,V) ) ) ) ) ) ),
    inference(miniscoping,[status(thm)],[f14]) ).

fof(f48,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ssPv8(X2)
      | ssPv2(X5)
      | ssPv2(X4)
      | ssPv8(X1)
      | ~ ssRr(X2,X5)
      | ~ ssRr(X2,X3)
      | ~ ssRr(X3,X4)
      | ~ ssRr(X2,X0)
      | ~ ssRr(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f47]) ).

fof(f49,plain,
    ! [W] :
      ( ~ ssPv8(W)
      | ~ ssPv2(W)
      | ! [X] :
          ( ~ ssRr(W,X)
          | ! [Y] :
              ( ~ ssPv3(Y)
              | ~ ssRr(X,Y)
              | ! [U] :
                  ( ~ ssRr(W,U)
                  | ! [V] :
                      ( ~ ssPv5(V)
                      | ~ ssRr(U,V) ) ) ) ) ),
    inference(miniscoping,[status(thm)],[f15]) ).

fof(f50,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ ssPv8(X2)
      | ~ ssPv2(X2)
      | ~ ssRr(X2,X3)
      | ~ ssPv3(X4)
      | ~ ssRr(X3,X4)
      | ~ ssRr(X2,X0)
      | ~ ssPv5(X1)
      | ~ ssRr(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f49]) ).

fof(f51,plain,
    ! [W] :
      ( ssPv4(W)
      | ! [Z] :
          ( ssPv1(Z)
          | ! [Y] :
              ( ssPv8(Y)
              | ~ ssRr(W,Z)
              | ! [X] :
                  ( ~ ssRr(W,X)
                  | ~ ssRr(X,Y)
                  | ! [U] :
                      ( ~ ssRr(W,U)
                      | ! [V] :
                          ( ~ ssPv6(V)
                          | ~ ssRr(U,V) ) ) ) ) ) ),
    inference(miniscoping,[status(thm)],[f16]) ).

fof(f52,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ssPv4(X2)
      | ssPv1(X5)
      | ssPv8(X4)
      | ~ ssRr(X2,X5)
      | ~ ssRr(X2,X3)
      | ~ ssRr(X3,X4)
      | ~ ssRr(X2,X0)
      | ~ ssPv6(X1)
      | ~ ssRr(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f51]) ).

fof(f53,plain,
    ! [Z] :
      ( ssPv7(Z)
      | ! [Y] :
          ( ssPv5(Y)
          | ! [W] :
              ( ~ ssPv4(W)
              | ~ ssRr(W,Z)
              | ! [X] :
                  ( ~ ssRr(W,X)
                  | ~ ssRr(X,Y)
                  | ! [U] :
                      ( ~ ssRr(W,U)
                      | ! [V] :
                          ( ~ ssPv2(V)
                          | ~ ssRr(U,V) ) ) ) ) ) ),
    inference(miniscoping,[status(thm)],[f17]) ).

fof(f54,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ssPv7(X5)
      | ssPv5(X4)
      | ~ ssPv4(X2)
      | ~ ssRr(X2,X5)
      | ~ ssRr(X2,X3)
      | ~ ssRr(X3,X4)
      | ~ ssRr(X2,X0)
      | ~ ssPv2(X1)
      | ~ ssRr(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f53]) ).

fof(f55,plain,
    ! [Z] :
      ( ssPv3(Z)
      | ! [Y] :
          ( ssPv6(Y)
          | ! [W] :
              ( ~ ssPv1(W)
              | ~ ssRr(W,Z)
              | ! [X] :
                  ( ~ ssRr(W,X)
                  | ~ ssRr(X,Y)
                  | ! [U] :
                      ( ~ ssRr(W,U)
                      | ! [V] :
                          ( ~ ssPv3(V)
                          | ~ ssRr(U,V) ) ) ) ) ) ),
    inference(miniscoping,[status(thm)],[f18]) ).

fof(f56,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ssPv3(X5)
      | ssPv6(X4)
      | ~ ssPv1(X2)
      | ~ ssRr(X2,X5)
      | ~ ssRr(X2,X3)
      | ~ ssRr(X3,X4)
      | ~ ssRr(X2,X0)
      | ~ ssPv3(X1)
      | ~ ssRr(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f55]) ).

fof(f57,plain,
    ! [W] :
      ( ssPv4(W)
      | ! [Z] :
          ( ~ ssPv2(Z)
          | ~ ssRr(W,Z)
          | ! [X] :
              ( ~ ssRr(W,X)
              | ! [Y] :
                  ( ~ ssPv2(Y)
                  | ~ ssRr(X,Y)
                  | ! [U] :
                      ( ~ ssRr(W,U)
                      | ! [V] :
                          ( ~ ssPv3(V)
                          | ~ ssRr(U,V) ) ) ) ) ) ),
    inference(miniscoping,[status(thm)],[f19]) ).

fof(f58,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ssPv4(X2)
      | ~ ssPv2(X5)
      | ~ ssRr(X2,X5)
      | ~ ssRr(X2,X3)
      | ~ ssPv2(X4)
      | ~ ssRr(X3,X4)
      | ~ ssRr(X2,X0)
      | ~ ssPv3(X1)
      | ~ ssRr(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f57]) ).

fof(f59,plain,
    ! [Y] :
      ( ssPv2(Y)
      | ! [W] :
          ( ~ ssPv5(W)
          | ! [Z] :
              ( ~ ssPv7(Z)
              | ~ ssRr(W,Z)
              | ! [X] :
                  ( ~ ssRr(W,X)
                  | ~ ssRr(X,Y)
                  | ! [U] :
                      ( ~ ssRr(W,U)
                      | ! [V] :
                          ( ~ ssPv7(V)
                          | ~ ssRr(U,V) ) ) ) ) ) ),
    inference(miniscoping,[status(thm)],[f20]) ).

fof(f60,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ssPv2(X4)
      | ~ ssPv5(X2)
      | ~ ssPv7(X5)
      | ~ ssRr(X2,X5)
      | ~ ssRr(X2,X3)
      | ~ ssRr(X3,X4)
      | ~ ssRr(X2,X0)
      | ~ ssPv7(X1)
      | ~ ssRr(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f59]) ).

fof(f61,plain,
    ! [W] :
      ( ssPv2(W)
      | ! [X1] :
          ( ssPv2(X1)
          | ! [Y] :
              ( ssPv6(Y)
              | ! [Z] :
                  ( ~ ssRr(W,Z)
                  | ~ ssRr(Z,X1)
                  | ! [X] :
                      ( ~ ssRr(W,X)
                      | ~ ssRr(X,Y)
                      | ! [U] :
                          ( ~ ssRr(W,U)
                          | ! [V] :
                              ( ~ ssPv3(V)
                              | ~ ssRr(U,V) ) ) ) ) ) ) ),
    inference(miniscoping,[status(thm)],[f21]) ).

fof(f62,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ssPv2(X2)
      | ssPv2(X6)
      | ssPv6(X4)
      | ~ ssRr(X2,X5)
      | ~ ssRr(X5,X6)
      | ~ ssRr(X2,X3)
      | ~ ssRr(X3,X4)
      | ~ ssRr(X2,X0)
      | ~ ssPv3(X1)
      | ~ ssRr(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f61]) ).

fof(f63,plain,
    ! [X0,X1] :
      ( ~ ssPv7(X1)
      | ~ ssPv6(X1)
      | ~ ssPv3(X1)
      | ~ ssRr(X1,X0)
      | ~ ssPv2(skf1(X0)) ),
    inference(resolution,[status(thm)],[f26,f22]) ).

fof(f64,plain,
    ! [X0,X1,X2] :
      ( ssPv4(skf1(X1))
      | ~ ssPv7(X0)
      | ~ ssPv5(X0)
      | ~ ssPv2(X2)
      | ~ ssRr(X0,X2)
      | ~ ssRr(X0,X1) ),
    inference(resolution,[status(thm)],[f32,f22]) ).

fof(f65,plain,
    ! [X0,X1] :
      ( ssPv4(skf1(skf1(X0)))
      | ~ ssPv7(X0)
      | ~ ssPv5(X0)
      | ~ ssPv2(X1)
      | ~ ssRr(X0,X1) ),
    inference(resolution,[status(thm)],[f64,f22]) ).

fof(f66,plain,
    ! [X0,X1,X2] :
      ( ssPv6(X1)
      | ~ ssPv8(X1)
      | ~ ssPv1(X2)
      | ~ ssRr(X1,X2)
      | ~ ssRr(X1,X0)
      | ~ ssPv5(skf1(X0)) ),
    inference(resolution,[status(thm)],[f34,f22]) ).

fof(f67,plain,
    ! [X0,X1,X2] :
      ( ssPv6(X1)
      | ~ ssPv1(X1)
      | ~ ssPv4(X2)
      | ~ ssRr(X1,X2)
      | ~ ssRr(X1,X0)
      | ~ ssPv2(skf1(X0)) ),
    inference(resolution,[status(thm)],[f36,f22]) ).

fof(f68,plain,
    ! [X0,X1,X2,X3] :
      ( ~ ssPv8(X1)
      | ~ ssPv2(X1)
      | ~ ssRr(X1,X2)
      | ~ ssPv3(X3)
      | ~ ssRr(X2,X3)
      | ~ ssRr(X1,X0)
      | ~ ssPv5(skf1(X0)) ),
    inference(resolution,[status(thm)],[f50,f22]) ).

fof(f69,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ssPv4(X1)
      | ~ ssPv2(X4)
      | ~ ssRr(X1,X4)
      | ~ ssRr(X1,X2)
      | ~ ssPv2(X3)
      | ~ ssRr(X2,X3)
      | ~ ssRr(X1,X0)
      | ~ ssPv3(skf1(X0)) ),
    inference(resolution,[status(thm)],[f58,f22]) ).

fof(f70,plain,
    ! [X0] :
      ( ssPv4(skf1(skf1(X0)))
      | ~ ssPv7(X0)
      | ~ ssPv5(X0)
      | ~ ssPv2(skf1(X0)) ),
    inference(resolution,[status(thm)],[f65,f22]) ).

fof(f71,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ssPv2(X3)
      | ~ ssPv5(X1)
      | ~ ssPv7(X4)
      | ~ ssRr(X1,X4)
      | ~ ssRr(X1,X2)
      | ~ ssRr(X2,X3)
      | ~ ssRr(X1,X0)
      | ~ ssPv7(skf1(X0)) ),
    inference(resolution,[status(thm)],[f60,f22]) ).

fof(f72,plain,
    ! [X0,X1] :
      ( ssPv3(X0)
      | ssPv8(skf1(X1))
      | ~ ssPv2(X0)
      | ~ ssPv1(X0)
      | ~ ssRr(X0,X1) ),
    inference(resolution,[status(thm)],[f24,f22]) ).

fof(f73,plain,
    ! [X0] :
      ( ssPv3(X0)
      | ssPv8(skf1(skf1(X0)))
      | ~ ssPv2(X0)
      | ~ ssPv1(X0) ),
    inference(resolution,[status(thm)],[f72,f22]) ).

fof(f74,plain,
    ! [X0,X1,X2] :
      ( ssPv2(X2)
      | ssPv8(skf1(X1))
      | ~ ssPv6(X0)
      | ~ ssPv4(X0)
      | ~ ssRr(X0,X2)
      | ~ ssRr(X0,X1) ),
    inference(resolution,[status(thm)],[f28,f22]) ).

fof(f75,plain,
    ! [X0,X1] :
      ( ssPv2(X1)
      | ssPv8(skf1(skf1(X0)))
      | ~ ssPv6(X0)
      | ~ ssPv4(X0)
      | ~ ssRr(X0,X1) ),
    inference(resolution,[status(thm)],[f74,f22]) ).

fof(f76,plain,
    ! [X0,X1,X2] :
      ( ssPv6(X2)
      | ssPv2(skf1(X1))
      | ~ ssPv7(X0)
      | ~ ssPv1(X0)
      | ~ ssRr(X0,X2)
      | ~ ssRr(X0,X1) ),
    inference(resolution,[status(thm)],[f30,f22]) ).

fof(f77,plain,
    ! [X0,X1,X2,X3] :
      ( ssPv3(X0)
      | ssPv1(X3)
      | ssPv2(X2)
      | ssPv4(skf1(X1))
      | ~ ssRr(X0,X3)
      | ~ ssRr(X0,X2)
      | ~ ssRr(X0,X1) ),
    inference(resolution,[status(thm)],[f38,f22]) ).

fof(f78,plain,
    ! [X0,X1,X2,X3] :
      ( ssPv7(X1)
      | ssPv6(X1)
      | ssPv2(X3)
      | ~ ssRr(X1,X2)
      | ~ ssRr(X2,X3)
      | ~ ssRr(X1,X0)
      | ~ ssPv4(skf1(X0)) ),
    inference(resolution,[status(thm)],[f40,f22]) ).

fof(f79,plain,
    ! [X0,X1,X2,X3] :
      ( ssPv7(X0)
      | ssPv2(X3)
      | ssPv6(skf1(X1))
      | ~ ssRr(X0,X3)
      | ~ ssPv2(X2)
      | ~ ssRr(X0,X2)
      | ~ ssRr(X0,X1) ),
    inference(resolution,[status(thm)],[f42,f22]) ).

fof(f80,plain,
    ! [X0,X1,X2,X3] :
      ( ssPv5(X1)
      | ssPv2(X1)
      | ssPv8(X3)
      | ~ ssRr(X1,X2)
      | ~ ssRr(X2,X3)
      | ~ ssRr(X1,X0)
      | ~ ssPv5(skf1(X0)) ),
    inference(resolution,[status(thm)],[f44,f22]) ).

fof(f81,plain,
    ! [X0,X1,X2,X3] :
      ( ssPv8(X1)
      | ssPv6(X3)
      | ~ ssPv6(X1)
      | ~ ssRr(X1,X2)
      | ~ ssRr(X2,X3)
      | ~ ssRr(X1,X0)
      | ~ ssPv7(skf1(X0)) ),
    inference(resolution,[status(thm)],[f46,f22]) ).

fof(f82,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ssPv8(X0)
      | ssPv2(X4)
      | ssPv2(X3)
      | ssPv8(skf1(X1))
      | ~ ssRr(X0,X4)
      | ~ ssRr(X0,X2)
      | ~ ssRr(X2,X3)
      | ~ ssRr(X0,X1) ),
    inference(resolution,[status(thm)],[f48,f22]) ).

fof(f83,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ssPv4(X1)
      | ssPv1(X4)
      | ssPv8(X3)
      | ~ ssRr(X1,X4)
      | ~ ssRr(X1,X2)
      | ~ ssRr(X2,X3)
      | ~ ssRr(X1,X0)
      | ~ ssPv6(skf1(X0)) ),
    inference(resolution,[status(thm)],[f52,f22]) ).

fof(f84,plain,
    ! [X0] :
      ( ssPv2(skf1(X0))
      | ssPv8(skf1(skf1(X0)))
      | ~ ssPv6(X0)
      | ~ ssPv4(X0) ),
    inference(resolution,[status(thm)],[f75,f22]) ).

fof(f85,plain,
    ! [X0,X1] :
      ( ssPv6(X1)
      | ssPv2(skf1(skf1(X0)))
      | ~ ssPv7(X0)
      | ~ ssPv1(X0)
      | ~ ssRr(X0,X1) ),
    inference(resolution,[status(thm)],[f76,f22]) ).

fof(f86,plain,
    ! [X0] :
      ( ssPv6(skf1(X0))
      | ssPv2(skf1(skf1(X0)))
      | ~ ssPv7(X0)
      | ~ ssPv1(X0) ),
    inference(resolution,[status(thm)],[f85,f22]) ).

fof(f87,plain,
    ! [X0,X1,X2] :
      ( ssPv3(X0)
      | ssPv1(X2)
      | ssPv2(X1)
      | ssPv4(skf1(skf1(X0)))
      | ~ ssRr(X0,X2)
      | ~ ssRr(X0,X1) ),
    inference(resolution,[status(thm)],[f77,f22]) ).

fof(f88,plain,
    ! [X0,X1] :
      ( ssPv3(X0)
      | ssPv1(X1)
      | ssPv2(skf1(X0))
      | ssPv4(skf1(skf1(X0)))
      | ~ ssRr(X0,X1) ),
    inference(resolution,[status(thm)],[f87,f22]) ).

fof(f89,plain,
    ! [X0] :
      ( ssPv3(X0)
      | ssPv1(skf1(X0))
      | ssPv2(skf1(X0))
      | ssPv4(skf1(skf1(X0))) ),
    inference(resolution,[status(thm)],[f88,f22]) ).

fof(f90,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ssPv7(X4)
      | ssPv5(X3)
      | ~ ssPv4(X1)
      | ~ ssRr(X1,X4)
      | ~ ssRr(X1,X2)
      | ~ ssRr(X2,X3)
      | ~ ssRr(X1,X0)
      | ~ ssPv2(skf1(X0)) ),
    inference(resolution,[status(thm)],[f54,f22]) ).

fof(f91,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ssPv3(X4)
      | ssPv6(X3)
      | ~ ssPv1(X1)
      | ~ ssRr(X1,X4)
      | ~ ssRr(X1,X2)
      | ~ ssRr(X2,X3)
      | ~ ssRr(X1,X0)
      | ~ ssPv3(skf1(X0)) ),
    inference(resolution,[status(thm)],[f56,f22]) ).

fof(f92,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ssPv2(X1)
      | ssPv2(X5)
      | ssPv6(X3)
      | ~ ssRr(X1,X4)
      | ~ ssRr(X4,X5)
      | ~ ssRr(X1,X2)
      | ~ ssRr(X2,X3)
      | ~ ssRr(X1,X0)
      | ~ ssPv3(skf1(X0)) ),
    inference(resolution,[status(thm)],[f62,f22]) ).

fof(f93,plain,
    ! [X0,X1,X2] :
      ( ssPv7(X0)
      | ssPv2(X2)
      | ssPv6(skf1(skf1(X0)))
      | ~ ssRr(X0,X2)
      | ~ ssPv2(X1)
      | ~ ssRr(X0,X1) ),
    inference(resolution,[status(thm)],[f79,f22]) ).

fof(f94,plain,
    ! [X0,X1,X2,X3] :
      ( ssPv8(X2)
      | ssPv2(X3)
      | ssPv2(X1)
      | ssPv8(skf1(skf1(X2)))
      | ~ ssRr(X2,X3)
      | ~ ssRr(X2,X0)
      | ~ ssRr(X0,X1) ),
    inference(resolution,[status(thm)],[f82,f22]) ).

fof(f95,plain,
    ! [X0,X1] :
      ( ssPv7(X0)
      | ssPv2(X1)
      | ssPv6(skf1(skf1(X0)))
      | ~ ssRr(X0,X1)
      | ~ ssPv2(skf1(X0)) ),
    inference(resolution,[status(thm)],[f93,f22]) ).

fof(f96,plain,
    ! [X0,X1,X2] :
      ( ssPv8(X0)
      | ssPv2(X2)
      | ssPv2(skf1(X1))
      | ssPv8(skf1(skf1(X0)))
      | ~ ssRr(X0,X2)
      | ~ ssRr(X0,X1) ),
    inference(resolution,[status(thm)],[f94,f22]) ).

fof(f97,plain,
    ! [X0,X1] :
      ( ssPv8(X0)
      | ssPv2(X1)
      | ssPv2(skf1(skf1(X0)))
      | ssPv8(skf1(skf1(X0)))
      | ~ ssRr(X0,X1) ),
    inference(resolution,[status(thm)],[f96,f22]) ).

fof(f98,plain,
    ! [X0,X1,X2,X3] :
      ( ssPv7(X1)
      | ssPv6(X1)
      | ssPv2(X3)
      | ~ ssRr(X1,X2)
      | ~ ssRr(X2,X3)
      | ~ ssRr(X1,skf1(X0))
      | ssPv3(X0)
      | ssPv1(skf1(X0))
      | ssPv2(skf1(X0)) ),
    inference(resolution,[status(thm)],[f89,f78]) ).

fof(f99,plain,
    ! [X0] :
      ( ssPv2(skf1(skf1(skf1(X0))))
      | ssPv8(skf1(skf1(skf1(skf1(X0)))))
      | ~ ssPv6(skf1(skf1(X0)))
      | ssPv3(X0)
      | ssPv1(skf1(X0))
      | ssPv2(skf1(X0)) ),
    inference(resolution,[status(thm)],[f89,f84]) ).

fof(f100,plain,
    ! [X0] :
      ( ssPv8(X0)
      | ssPv2(skf1(X0))
      | ssPv2(skf1(skf1(X0)))
      | ssPv8(skf1(skf1(X0))) ),
    inference(resolution,[status(thm)],[f97,f22]) ).

fof(f101,plain,
    ! [X0,X1,X2] :
      ( ssPv7(X0)
      | ssPv6(X0)
      | ssPv2(X2)
      | ~ ssRr(X0,X1)
      | ~ ssRr(X1,X2)
      | ssPv3(X0)
      | ssPv1(skf1(X0))
      | ssPv2(skf1(X0)) ),
    inference(resolution,[status(thm)],[f98,f22]) ).

fof(f102,plain,
    ! [X0,X1] :
      ( ssPv7(X0)
      | ssPv6(X0)
      | ssPv2(skf1(X1))
      | ~ ssRr(X0,X1)
      | ssPv3(X0)
      | ssPv1(skf1(X0))
      | ssPv2(skf1(X0)) ),
    inference(resolution,[status(thm)],[f101,f22]) ).

fof(f103,plain,
    ! [X0] :
      ( ssPv7(X0)
      | ssPv6(X0)
      | ssPv2(skf1(skf1(X0)))
      | ssPv3(X0)
      | ssPv1(skf1(X0))
      | ssPv2(skf1(X0)) ),
    inference(resolution,[status(thm)],[f102,f22]) ).

fof(f104,plain,
    ! [X0,X1] :
      ( ssPv7(skf1(X0))
      | ssPv2(X1)
      | ssPv6(skf1(skf1(skf1(X0))))
      | ~ ssRr(skf1(X0),X1)
      | ssPv7(X0)
      | ssPv6(X0)
      | ssPv3(X0)
      | ssPv1(skf1(X0))
      | ssPv2(skf1(X0)) ),
    inference(resolution,[status(thm)],[f103,f95]) ).

fof(f105,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ssPv7(X4)
      | ssPv5(X3)
      | ~ ssPv4(X1)
      | ~ ssRr(X1,X4)
      | ~ ssRr(X1,X2)
      | ~ ssRr(X2,X3)
      | ~ ssRr(X1,skf1(X0))
      | ssPv7(X0)
      | ssPv6(X0)
      | ssPv3(X0)
      | ssPv1(skf1(X0))
      | ssPv2(skf1(X0)) ),
    inference(resolution,[status(thm)],[f103,f90]) ).

fof(f106,plain,
    ! [X0,X1,X2] :
      ( ssPv6(X1)
      | ~ ssPv1(X1)
      | ~ ssPv4(X2)
      | ~ ssRr(X1,X2)
      | ~ ssRr(X1,skf1(X0))
      | ssPv7(X0)
      | ssPv6(X0)
      | ssPv3(X0)
      | ssPv1(skf1(X0))
      | ssPv2(skf1(X0)) ),
    inference(resolution,[status(thm)],[f103,f67]) ).

fof(f107,plain,
    ! [X0] :
      ( ssPv4(skf1(skf1(skf1(X0))))
      | ~ ssPv7(skf1(X0))
      | ~ ssPv5(skf1(X0))
      | ssPv7(X0)
      | ssPv6(X0)
      | ssPv3(X0)
      | ssPv1(skf1(X0))
      | ssPv2(skf1(X0)) ),
    inference(resolution,[status(thm)],[f103,f70]) ).

fof(f108,plain,
    ! [X0,X1] :
      ( ~ ssPv7(X1)
      | ~ ssPv6(X1)
      | ~ ssPv3(X1)
      | ~ ssRr(X1,skf1(X0))
      | ssPv7(X0)
      | ssPv6(X0)
      | ssPv3(X0)
      | ssPv1(skf1(X0))
      | ssPv2(skf1(X0)) ),
    inference(resolution,[status(thm)],[f103,f63]) ).

fof(f109,plain,
    ! [X0] :
      ( ssPv3(skf1(skf1(X0)))
      | ssPv8(skf1(skf1(skf1(skf1(X0)))))
      | ~ ssPv1(skf1(skf1(X0)))
      | ssPv7(X0)
      | ssPv6(X0)
      | ssPv3(X0)
      | ssPv1(skf1(X0))
      | ssPv2(skf1(X0)) ),
    inference(resolution,[status(thm)],[f103,f73]) ).

fof(f111,plain,
    ! [X0,X1] :
      ( ssPv6(X0)
      | ~ ssPv1(X0)
      | ~ ssPv4(X1)
      | ~ ssRr(X0,X1)
      | ssPv7(X0)
      | ssPv6(X0)
      | ssPv3(X0)
      | ssPv1(skf1(X0))
      | ssPv2(skf1(X0)) ),
    inference(resolution,[status(thm)],[f106,f22]) ).

fof(f112,plain,
    ! [X0,X1] :
      ( ~ ssPv1(X0)
      | ~ ssPv4(X1)
      | ~ ssRr(X0,X1)
      | ssPv7(X0)
      | ssPv6(X0)
      | ssPv3(X0)
      | ssPv1(skf1(X0))
      | ssPv2(skf1(X0)) ),
    inference(duplicate_literals_removal,[status(thm)],[f111]) ).

fof(f113,plain,
    ! [X0] :
      ( ~ ssPv1(X0)
      | ~ ssPv4(skf1(X0))
      | ssPv7(X0)
      | ssPv6(X0)
      | ssPv3(X0)
      | ssPv1(skf1(X0))
      | ssPv2(skf1(X0)) ),
    inference(resolution,[status(thm)],[f112,f22]) ).

fof(f116,plain,
    ! [X0,X1,X2,X3] :
      ( ssPv7(X3)
      | ssPv5(X2)
      | ~ ssPv4(X0)
      | ~ ssRr(X0,X3)
      | ~ ssRr(X0,X1)
      | ~ ssRr(X1,X2)
      | ssPv7(X0)
      | ssPv6(X0)
      | ssPv3(X0)
      | ssPv1(skf1(X0))
      | ssPv2(skf1(X0)) ),
    inference(resolution,[status(thm)],[f105,f22]) ).

fof(f117,plain,
    ! [X0,X1,X2] :
      ( ssPv7(X2)
      | ssPv5(skf1(X1))
      | ~ ssPv4(X0)
      | ~ ssRr(X0,X2)
      | ~ ssRr(X0,X1)
      | ssPv7(X0)
      | ssPv6(X0)
      | ssPv3(X0)
      | ssPv1(skf1(X0))
      | ssPv2(skf1(X0)) ),
    inference(resolution,[status(thm)],[f116,f22]) ).

fof(f118,plain,
    ! [X0,X1] :
      ( ssPv7(X1)
      | ssPv5(skf1(skf1(X0)))
      | ~ ssPv4(X0)
      | ~ ssRr(X0,X1)
      | ssPv7(X0)
      | ssPv6(X0)
      | ssPv3(X0)
      | ssPv1(skf1(X0))
      | ssPv2(skf1(X0)) ),
    inference(resolution,[status(thm)],[f117,f22]) ).

fof(f119,plain,
    ! [X0] :
      ( ssPv7(skf1(X0))
      | ssPv5(skf1(skf1(X0)))
      | ~ ssPv4(X0)
      | ssPv7(X0)
      | ssPv6(X0)
      | ssPv3(X0)
      | ssPv1(skf1(X0))
      | ssPv2(skf1(X0)) ),
    inference(resolution,[status(thm)],[f118,f22]) ).

fof(f120,plain,
    ! [X0] :
      ( ssPv3(X0)
      | ssPv1(skf1(X0))
      | ssPv2(skf1(X0))
      | ssPv7(skf1(skf1(skf1(X0))))
      | ssPv5(skf1(skf1(skf1(skf1(X0)))))
      | ssPv7(skf1(skf1(X0)))
      | ssPv6(skf1(skf1(X0)))
      | ssPv3(skf1(skf1(X0)))
      | ssPv1(skf1(skf1(skf1(X0))))
      | ssPv2(skf1(skf1(skf1(X0)))) ),
    inference(resolution,[status(thm)],[f119,f89]) ).

fof(f122,plain,
    ! [X0,X1,X2,X3] :
      ( ssPv5(X1)
      | ssPv2(X1)
      | ssPv8(X3)
      | ~ ssRr(X1,X2)
      | ~ ssRr(X2,X3)
      | ~ ssRr(X1,skf1(skf1(skf1(X0))))
      | ssPv3(X0)
      | ssPv1(skf1(X0))
      | ssPv2(skf1(X0))
      | ssPv7(skf1(skf1(skf1(X0))))
      | ssPv7(skf1(skf1(X0)))
      | ssPv6(skf1(skf1(X0)))
      | ssPv3(skf1(skf1(X0)))
      | ssPv1(skf1(skf1(skf1(X0))))
      | ssPv2(skf1(skf1(skf1(X0)))) ),
    inference(resolution,[status(thm)],[f120,f80]) ).

fof(f123,plain,
    ! [X0,X1,X2,X3] :
      ( ~ ssPv8(X1)
      | ~ ssPv2(X1)
      | ~ ssRr(X1,X2)
      | ~ ssPv3(X3)
      | ~ ssRr(X2,X3)
      | ~ ssRr(X1,skf1(skf1(skf1(X0))))
      | ssPv3(X0)
      | ssPv1(skf1(X0))
      | ssPv2(skf1(X0))
      | ssPv7(skf1(skf1(skf1(X0))))
      | ssPv7(skf1(skf1(X0)))
      | ssPv6(skf1(skf1(X0)))
      | ssPv3(skf1(skf1(X0)))
      | ssPv1(skf1(skf1(skf1(X0))))
      | ssPv2(skf1(skf1(skf1(X0)))) ),
    inference(resolution,[status(thm)],[f120,f68]) ).

fof(f124,plain,
    ! [X0,X1,X2] :
      ( ssPv6(X1)
      | ~ ssPv8(X1)
      | ~ ssPv1(X2)
      | ~ ssRr(X1,X2)
      | ~ ssRr(X1,skf1(skf1(skf1(X0))))
      | ssPv3(X0)
      | ssPv1(skf1(X0))
      | ssPv2(skf1(X0))
      | ssPv7(skf1(skf1(skf1(X0))))
      | ssPv7(skf1(skf1(X0)))
      | ssPv6(skf1(skf1(X0)))
      | ssPv3(skf1(skf1(X0)))
      | ssPv1(skf1(skf1(skf1(X0))))
      | ssPv2(skf1(skf1(skf1(X0)))) ),
    inference(resolution,[status(thm)],[f120,f66]) ).

fof(f126,plain,
    ! [X0,X1,X2] :
      ( ssPv5(skf1(skf1(X0)))
      | ssPv2(skf1(skf1(X0)))
      | ssPv8(X2)
      | ~ ssRr(skf1(skf1(X0)),X1)
      | ~ ssRr(X1,X2)
      | ssPv3(X0)
      | ssPv1(skf1(X0))
      | ssPv2(skf1(X0))
      | ssPv7(skf1(skf1(skf1(X0))))
      | ssPv7(skf1(skf1(X0)))
      | ssPv6(skf1(skf1(X0)))
      | ssPv3(skf1(skf1(X0)))
      | ssPv1(skf1(skf1(skf1(X0))))
      | ssPv2(skf1(skf1(skf1(X0)))) ),
    inference(resolution,[status(thm)],[f122,f22]) ).

fof(f127,plain,
    ! [X0,X1,X2] :
      ( ~ ssPv8(skf1(skf1(X0)))
      | ~ ssPv2(skf1(skf1(X0)))
      | ~ ssRr(skf1(skf1(X0)),X1)
      | ~ ssPv3(X2)
      | ~ ssRr(X1,X2)
      | ssPv3(X0)
      | ssPv1(skf1(X0))
      | ssPv2(skf1(X0))
      | ssPv7(skf1(skf1(skf1(X0))))
      | ssPv7(skf1(skf1(X0)))
      | ssPv6(skf1(skf1(X0)))
      | ssPv3(skf1(skf1(X0)))
      | ssPv1(skf1(skf1(skf1(X0))))
      | ssPv2(skf1(skf1(skf1(X0)))) ),
    inference(resolution,[status(thm)],[f123,f22]) ).

fof(f128,plain,
    ! [X0,X1] :
      ( ssPv6(skf1(skf1(X0)))
      | ~ ssPv8(skf1(skf1(X0)))
      | ~ ssPv1(X1)
      | ~ ssRr(skf1(skf1(X0)),X1)
      | ssPv3(X0)
      | ssPv1(skf1(X0))
      | ssPv2(skf1(X0))
      | ssPv7(skf1(skf1(skf1(X0))))
      | ssPv7(skf1(skf1(X0)))
      | ssPv6(skf1(skf1(X0)))
      | ssPv3(skf1(skf1(X0)))
      | ssPv1(skf1(skf1(skf1(X0))))
      | ssPv2(skf1(skf1(skf1(X0)))) ),
    inference(resolution,[status(thm)],[f124,f22]) ).

fof(f129,plain,
    ! [X0,X1] :
      ( ~ ssPv8(skf1(skf1(X0)))
      | ~ ssPv1(X1)
      | ~ ssRr(skf1(skf1(X0)),X1)
      | ssPv3(X0)
      | ssPv1(skf1(X0))
      | ssPv2(skf1(X0))
      | ssPv7(skf1(skf1(skf1(X0))))
      | ssPv7(skf1(skf1(X0)))
      | ssPv6(skf1(skf1(X0)))
      | ssPv3(skf1(skf1(X0)))
      | ssPv1(skf1(skf1(skf1(X0))))
      | ssPv2(skf1(skf1(skf1(X0)))) ),
    inference(duplicate_literals_removal,[status(thm)],[f128]) ).

fof(f130,plain,
    ! [X0,X1] :
      ( ssPv5(skf1(skf1(X0)))
      | ssPv2(skf1(skf1(X0)))
      | ssPv8(skf1(X1))
      | ~ ssRr(skf1(skf1(X0)),X1)
      | ssPv3(X0)
      | ssPv1(skf1(X0))
      | ssPv2(skf1(X0))
      | ssPv7(skf1(skf1(skf1(X0))))
      | ssPv7(skf1(skf1(X0)))
      | ssPv6(skf1(skf1(X0)))
      | ssPv3(skf1(skf1(X0)))
      | ssPv1(skf1(skf1(skf1(X0))))
      | ssPv2(skf1(skf1(skf1(X0)))) ),
    inference(resolution,[status(thm)],[f126,f22]) ).

fof(f131,plain,
    ! [X0,X1] :
      ( ~ ssPv8(skf1(skf1(X0)))
      | ~ ssPv2(skf1(skf1(X0)))
      | ~ ssRr(skf1(skf1(X0)),X1)
      | ~ ssPv3(skf1(X1))
      | ssPv3(X0)
      | ssPv1(skf1(X0))
      | ssPv2(skf1(X0))
      | ssPv7(skf1(skf1(skf1(X0))))
      | ssPv7(skf1(skf1(X0)))
      | ssPv6(skf1(skf1(X0)))
      | ssPv3(skf1(skf1(X0)))
      | ssPv1(skf1(skf1(skf1(X0))))
      | ssPv2(skf1(skf1(skf1(X0)))) ),
    inference(resolution,[status(thm)],[f127,f22]) ).

fof(f133,plain,
    ! [X0] :
      ( ssPv5(skf1(skf1(X0)))
      | ssPv2(skf1(skf1(X0)))
      | ssPv8(skf1(skf1(skf1(skf1(X0)))))
      | ssPv3(X0)
      | ssPv1(skf1(X0))
      | ssPv2(skf1(X0))
      | ssPv7(skf1(skf1(skf1(X0))))
      | ssPv7(skf1(skf1(X0)))
      | ssPv6(skf1(skf1(X0)))
      | ssPv3(skf1(skf1(X0)))
      | ssPv1(skf1(skf1(skf1(X0))))
      | ssPv2(skf1(skf1(skf1(X0)))) ),
    inference(resolution,[status(thm)],[f130,f22]) ).

fof(f134,plain,
    ! [X0] :
      ( ssPv5(skf1(skf1(X0)))
      | ssPv2(skf1(skf1(X0)))
      | ssPv8(skf1(skf1(skf1(skf1(X0)))))
      | ssPv3(X0)
      | ssPv1(skf1(X0))
      | ssPv2(skf1(X0))
      | ssPv7(skf1(skf1(skf1(X0))))
      | ssPv7(skf1(skf1(X0)))
      | ssPv3(skf1(skf1(X0)))
      | ssPv1(skf1(skf1(skf1(X0))))
      | ssPv2(skf1(skf1(skf1(X0)))) ),
    inference(forward_subsumption_resolution,[status(thm)],[f133,f99]) ).

fof(f135,plain,
    ! [X0] :
      ( ~ ssPv8(skf1(skf1(X0)))
      | ~ ssPv2(skf1(skf1(X0)))
      | ~ ssPv3(skf1(skf1(skf1(skf1(X0)))))
      | ssPv3(X0)
      | ssPv1(skf1(X0))
      | ssPv2(skf1(X0))
      | ssPv7(skf1(skf1(skf1(X0))))
      | ssPv7(skf1(skf1(X0)))
      | ssPv6(skf1(skf1(X0)))
      | ssPv3(skf1(skf1(X0)))
      | ssPv1(skf1(skf1(skf1(X0))))
      | ssPv2(skf1(skf1(skf1(X0)))) ),
    inference(resolution,[status(thm)],[f131,f22]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : SYN739-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.03  % Command  : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/10.38  % Computer : n016.cluster.edu
% 0.09/10.38  % Model    : x86_64 x86_64
% 0.09/10.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/10.38  % Memory   : 8046.5625MB
% 0.09/10.38  % OS       : Linux 6.8.0-71-generic
% 0.09/10.38  % CPULimit : 300
% 0.09/10.38  % WCLimit  : 300
% 0.09/10.38  % DateTime : Mon Sep 21 11:18:50 UTC 2026
% 0.09/10.38  % CPUTime  : 
% 0.09/10.39  % Drodi V4.1.1
% 0.14/10.46  % SZS status Satisfiable for theBenchmark: Theory is satisfiable
% 0.14/10.46  % SZS output start Saturation for theBenchmark
% See solution above
% 0.14/10.48  % Elapsed time: 0.089816 seconds
% 0.14/10.48  % CPU time: 0.517608 seconds
% 0.14/10.48  % Total memory used: 23.722 MB
% 0.14/10.48  % Net memory used: 21.965 MB
%------------------------------------------------------------------------------