↑ Up

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

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : Drodi-SAT---4.1.1
% Problem  : SYN794-1 : 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 : 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 03:20:32 PM UTC 2026

% Result   : Satisfiable 0.18s 0.48s
% Output   : Saturation 0.18s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
    ! [U] : ssRr(skf3(U),U),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f2,negated_conjecture,
    ! [U] : ssRr(U,skf2(U)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f3,negated_conjecture,
    ! [U,V,W] :
      ( ssPv3(W)
      | ssPv2(W)
      | ~ ssPv4(W)
      | ~ ssRr(V,W)
      | ~ ssPv8(U)
      | ~ ssRr(U,V) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f4,negated_conjecture,
    ! [U,V,W,X] :
      ( ssPv7(W)
      | ssPv3(X)
      | ssPv4(U)
      | ~ ssPv4(W)
      | ~ ssRr(W,X)
      | ~ ssRr(V,W)
      | ~ ssRr(U,V) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f5,negated_conjecture,
    ! [U,V,W,X] :
      ( ssPv7(V)
      | ssPv5(V)
      | ssPv6(X)
      | ~ ssRr(V,W)
      | ~ ssRr(W,X)
      | ~ ssPv7(U)
      | ~ ssRr(U,V) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f6,negated_conjecture,
    ! [U,V,W,X] :
      ( ssPv4(W)
      | ssPv4(X)
      | ssPv1(U)
      | ~ ssPv7(W)
      | ~ ssRr(W,X)
      | ~ ssRr(V,W)
      | ~ ssRr(U,V) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f7,negated_conjecture,
    ! [U,V,W,X] :
      ( ssPv8(W)
      | ssPv5(X)
      | ~ ssPv1(W)
      | ~ ssRr(W,X)
      | ~ ssRr(V,W)
      | ~ ssPv4(U)
      | ~ ssRr(U,V) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f8,negated_conjecture,
    ! [U,V,W,X] :
      ( ssPv8(W)
      | ssPv3(X)
      | ~ ssPv4(W)
      | ~ ssRr(W,X)
      | ~ ssRr(V,W)
      | ~ ssPv6(U)
      | ~ ssRr(U,V) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f9,negated_conjecture,
    ! [U,V,W,X] :
      ( ssPv2(V)
      | ssPv8(X)
      | ~ ssPv3(V)
      | ~ ssRr(V,W)
      | ~ ssRr(W,X)
      | ~ ssPv7(U)
      | ~ ssRr(U,V) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f10,negated_conjecture,
    ! [U,V,W,X] :
      ( ssPv7(V)
      | ~ ssPv8(V)
      | ~ ssRr(V,W)
      | ~ ssPv2(X)
      | ~ ssRr(W,X)
      | ~ ssPv8(U)
      | ~ ssRr(U,V) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f11,negated_conjecture,
    ! [U,V,W,X] :
      ( ssPv7(X)
      | ~ ssPv7(V)
      | ~ ssPv4(V)
      | ~ ssRr(V,W)
      | ~ ssRr(W,X)
      | ~ ssPv6(U)
      | ~ ssRr(U,V) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f12,negated_conjecture,
    ! [U,V,W,X] :
      ( ssPv4(V)
      | ~ ssPv1(V)
      | ~ ssRr(V,W)
      | ~ ssPv3(X)
      | ~ ssRr(W,X)
      | ~ ssPv4(U)
      | ~ ssRr(U,V) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f13,negated_conjecture,
    ! [U,V,W,X] :
      ( ssPv2(V)
      | ~ ssPv6(V)
      | ~ ssRr(V,W)
      | ~ ssPv2(X)
      | ~ ssRr(W,X)
      | ~ ssPv7(U)
      | ~ ssRr(U,V) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f14,negated_conjecture,
    ! [U,V,W,X] :
      ( ssPv5(W)
      | ~ ssPv7(W)
      | ~ ssPv2(X)
      | ~ ssRr(W,X)
      | ~ ssRr(V,W)
      | ~ ssPv1(U)
      | ~ ssRr(U,V) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f15,negated_conjecture,
    ! [U,V,W,X] :
      ( ~ ssPv6(V)
      | ~ ssPv3(V)
      | ~ ssRr(V,W)
      | ~ ssPv4(X)
      | ~ ssRr(W,X)
      | ~ ssPv6(U)
      | ~ ssRr(U,V) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f16,negated_conjecture,
    ! [U,V,W,X,Y] :
      ( ssPv8(V)
      | ssPv3(X)
      | ssPv7(U)
      | ~ ssPv1(Y)
      | ~ ssRr(V,Y)
      | ~ ssRr(V,W)
      | ~ ssRr(W,X)
      | ~ ssRr(U,V) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f17,negated_conjecture,
    ! [U,V,W,X,Y] :
      ( ssPv8(V)
      | ssPv1(Y)
      | ssPv8(U)
      | ~ ssRr(V,Y)
      | ~ ssRr(V,W)
      | ~ ssPv2(X)
      | ~ ssRr(W,X)
      | ~ ssRr(U,V) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f18,negated_conjecture,
    ! [U,V,W,X,Y] :
      ( ssPv8(Y)
      | ssPv4(U)
      | ~ ssPv7(W)
      | ~ ssRr(W,Y)
      | ~ ssPv8(X)
      | ~ ssRr(W,X)
      | ~ ssRr(V,W)
      | ~ ssRr(U,V) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f19,negated_conjecture,
    ! [U,V,W,X,Y] :
      ( ssPv2(X)
      | ssPv7(U)
      | ~ ssPv3(W)
      | ~ ssPv2(W)
      | ~ ssRr(Y,W)
      | ~ ssRr(X,Y)
      | ~ ssRr(V,W)
      | ~ ssRr(U,V) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f20,negated_conjecture,
    ! [U,V,W,X,Y] :
      ( ssPv6(V)
      | ssPv5(W)
      | ~ ssRr(V,X)
      | ~ ssPv1(Y)
      | ~ ssRr(X,Y)
      | ~ ssRr(W,V)
      | ~ ssPv6(U)
      | ~ ssRr(U,V) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f21,negated_conjecture,
    ! [U,V,W,X,Y] :
      ( ssPv1(Y)
      | ~ ssPv7(W)
      | ~ ssRr(W,Y)
      | ~ ssPv6(X)
      | ~ ssRr(W,X)
      | ~ ssRr(V,W)
      | ~ ssPv1(U)
      | ~ ssRr(U,V) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f22,negated_conjecture,
    ! [U,V,W,X,Y] :
      ( ssPv5(Y)
      | ~ ssPv4(W)
      | ~ ssPv3(W)
      | ~ ssRr(W,X)
      | ~ ssRr(X,Y)
      | ~ ssRr(V,W)
      | ~ ssPv6(U)
      | ~ ssRr(U,V) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f23,negated_conjecture,
    ! [U,V,W,X,Y] :
      ( ssPv4(U)
      | ~ ssPv4(W)
      | ~ ssPv2(W)
      | ~ ssRr(W,X)
      | ~ ssPv3(Y)
      | ~ ssRr(X,Y)
      | ~ ssRr(V,W)
      | ~ ssRr(U,V) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f24,negated_conjecture,
    ! [U,V,W,X,Y] :
      ( ssPv7(W)
      | ~ ssPv4(W)
      | ~ ssRr(W,X)
      | ~ ssPv2(Y)
      | ~ ssRr(X,Y)
      | ~ ssRr(W,U)
      | ~ ssPv5(V)
      | ~ ssRr(U,V) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f25,negated_conjecture,
    ! [U,V,W,X,Y] :
      ( ~ ssPv1(W)
      | ~ ssPv4(Y)
      | ~ ssRr(W,Y)
      | ~ ssPv6(X)
      | ~ ssRr(W,X)
      | ~ ssRr(V,W)
      | ~ ssPv6(U)
      | ~ ssRr(U,V) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f26,negated_conjecture,
    ! [U,V,W,X,Y,Z] :
      ( ssPv4(W)
      | ssPv6(Y)
      | ssPv3(U)
      | ~ ssPv8(Z)
      | ~ ssRr(W,Z)
      | ~ ssRr(W,X)
      | ~ ssRr(X,Y)
      | ~ ssRr(V,W)
      | ~ ssRr(U,V) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f27,negated_conjecture,
    ! [U,V,W,X,Y,Z] :
      ( ssPv1(Z)
      | ssPv8(Y)
      | ssPv8(U)
      | ~ ssPv3(W)
      | ~ ssRr(W,Z)
      | ~ ssRr(W,X)
      | ~ ssRr(X,Y)
      | ~ ssRr(V,W)
      | ~ ssRr(U,V) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f28,negated_conjecture,
    ! [U,V,W,X,Y,Z] :
      ( ssPv5(W)
      | ssPv4(Z)
      | ssPv6(U)
      | ~ ssRr(W,Y)
      | ~ ssRr(Y,Z)
      | ~ ssPv4(X)
      | ~ ssRr(X,W)
      | ~ ssRr(V,W)
      | ~ ssRr(U,V) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f29,negated_conjecture,
    ! [U,V,W,X,Y,Z] :
      ( ssPv2(W)
      | ssPv2(X)
      | ssPv7(U)
      | ~ ssRr(W,Y)
      | ~ ssPv3(Z)
      | ~ ssRr(Y,Z)
      | ~ ssRr(X,W)
      | ~ ssRr(V,W)
      | ~ ssRr(U,V) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f30,negated_conjecture,
    ! [U,V,W,X,Y,Z] :
      ( ssPv8(Z)
      | ssPv5(X)
      | ssPv6(U)
      | ~ ssPv8(W)
      | ~ ssRr(W,Y)
      | ~ ssRr(Y,Z)
      | ~ ssRr(X,W)
      | ~ ssRr(V,W)
      | ~ ssRr(U,V) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f31,negated_conjecture,
    ! [U,V,W,X,Y,Z] :
      ( ssPv7(W)
      | ssPv6(Z)
      | ssPv2(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(f32,negated_conjecture,
    ! [U,V,W,X,Y,Z] :
      ( ssPv3(Z)
      | ssPv6(X)
      | ~ ssPv5(V)
      | ~ ssRr(V,Y)
      | ~ ssRr(Y,Z)
      | ~ ssRr(V,W)
      | ~ ssRr(W,X)
      | ~ ssPv3(U)
      | ~ ssRr(U,V) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f33,negated_conjecture,
    ! [U,V,W,X,Y,Z] :
      ( ssPv7(W)
      | ssPv4(Y)
      | ~ ssPv3(Z)
      | ~ ssRr(W,Z)
      | ~ ssRr(W,X)
      | ~ ssRr(X,Y)
      | ~ ssRr(V,W)
      | ~ ssPv7(U)
      | ~ ssRr(U,V) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f34,negated_conjecture,
    ! [U,V,W,X,Y,Z] :
      ( ssPv6(X)
      | ~ ssPv2(W)
      | ~ ssPv7(Z)
      | ~ ssRr(W,Z)
      | ~ ssRr(Y,W)
      | ~ ssRr(X,Y)
      | ~ ssRr(V,W)
      | ~ ssPv6(U)
      | ~ ssRr(U,V) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f35,negated_conjecture,
    ! [U,V,W,X,Y,Z] :
      ( ssPv6(Z)
      | ~ ssPv1(W)
      | ~ ssRr(W,Z)
      | ~ ssRr(W,X)
      | ~ ssPv8(Y)
      | ~ ssRr(X,Y)
      | ~ ssRr(V,W)
      | ~ ssPv7(U)
      | ~ ssRr(U,V) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f36,negated_conjecture,
    ! [U,V,W,X,Y,Z] :
      ( ssPv2(W)
      | ~ ssRr(W,Y)
      | ~ ssPv7(Z)
      | ~ ssRr(Y,Z)
      | ~ ssPv7(X)
      | ~ ssRr(X,W)
      | ~ ssRr(V,W)
      | ~ ssPv1(U)
      | ~ ssRr(U,V) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f37,negated_conjecture,
    ! [U,V,W,X,Y,Z] :
      ( ~ ssPv7(W)
      | ~ ssPv1(Z)
      | ~ ssRr(W,Z)
      | ~ ssRr(Y,W)
      | ~ ssPv2(X)
      | ~ ssRr(X,Y)
      | ~ ssRr(V,W)
      | ~ ssPv5(U)
      | ~ ssRr(U,V) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f38,negated_conjecture,
    ! [U,V,W,X,Y,Z] :
      ( ~ ssPv5(W)
      | ~ ssRr(W,Y)
      | ~ ssPv8(Z)
      | ~ ssRr(Y,Z)
      | ~ ssPv5(X)
      | ~ ssRr(X,W)
      | ~ ssRr(V,W)
      | ~ ssPv1(U)
      | ~ ssRr(U,V) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f39,negated_conjecture,
    ! [U,V,W,X,Y,Z] :
      ( ~ ssPv2(W)
      | ~ ssPv6(Z)
      | ~ ssRr(W,Z)
      | ~ ssRr(Y,W)
      | ~ ssPv1(X)
      | ~ ssRr(X,Y)
      | ~ ssRr(V,W)
      | ~ ssPv8(U)
      | ~ ssRr(U,V) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f40,negated_conjecture,
    ! [U,V,W,X,Y,Z,X1] :
      ( ssPv1(X1)
      | ssPv5(Y)
      | ssPv7(U)
      | ~ ssPv8(W)
      | ~ ssRr(W,Z)
      | ~ ssRr(Z,X1)
      | ~ ssRr(W,X)
      | ~ ssRr(X,Y)
      | ~ ssRr(V,W)
      | ~ ssRr(U,V) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f41,negated_conjecture,
    ! [U,V,W,X,Y,Z,X1] :
      ( ssPv7(W)
      | ssPv6(X1)
      | ssPv8(Y)
      | ~ ssRr(W,Z)
      | ~ ssRr(Z,X1)
      | ~ ssRr(W,X)
      | ~ ssRr(X,Y)
      | ~ ssRr(V,W)
      | ~ ssPv5(U)
      | ~ ssRr(U,V) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f42,negated_conjecture,
    ! [U,V,W,X,Y,Z,X1] :
      ( ssPv6(W)
      | ~ ssRr(W,Z)
      | ~ ssPv4(X1)
      | ~ ssRr(Z,X1)
      | ~ ssRr(W,X)
      | ~ ssPv8(Y)
      | ~ ssRr(X,Y)
      | ~ ssRr(V,W)
      | ~ ssPv4(U)
      | ~ ssRr(U,V) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f43,plain,
    ! [X0] : ssRr(skf3(X0),X0),
    inference(cnf_transformation,[status(thm)],[f1]) ).

fof(f44,plain,
    ! [X0] : ssRr(X0,skf2(X0)),
    inference(cnf_transformation,[status(thm)],[f2]) ).

fof(f45,plain,
    ! [W] :
      ( ssPv3(W)
      | ssPv2(W)
      | ~ ssPv4(W)
      | ! [V] :
          ( ~ ssRr(V,W)
          | ! [U] :
              ( ~ ssPv8(U)
              | ~ ssRr(U,V) ) ) ),
    inference(miniscoping,[status(thm)],[f3]) ).

fof(f46,plain,
    ! [X0,X1,X2] :
      ( ssPv3(X2)
      | ssPv2(X2)
      | ~ ssPv4(X2)
      | ~ ssRr(X1,X2)
      | ~ ssPv8(X0)
      | ~ ssRr(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f45]) ).

fof(f47,plain,
    ! [W] :
      ( ssPv7(W)
      | ! [X] :
          ( ssPv3(X)
          | ! [U] :
              ( ssPv4(U)
              | ~ ssPv4(W)
              | ~ ssRr(W,X)
              | ! [V] :
                  ( ~ ssRr(V,W)
                  | ~ ssRr(U,V) ) ) ) ),
    inference(miniscoping,[status(thm)],[f4]) ).

fof(f48,plain,
    ! [X0,X1,X2,X3] :
      ( ssPv7(X2)
      | ssPv3(X3)
      | ssPv4(X0)
      | ~ ssPv4(X2)
      | ~ ssRr(X2,X3)
      | ~ ssRr(X1,X2)
      | ~ ssRr(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f47]) ).

fof(f49,plain,
    ! [V] :
      ( ssPv7(V)
      | ssPv5(V)
      | ! [X] :
          ( ssPv6(X)
          | ! [W] :
              ( ~ ssRr(V,W)
              | ~ ssRr(W,X)
              | ! [U] :
                  ( ~ ssPv7(U)
                  | ~ ssRr(U,V) ) ) ) ),
    inference(miniscoping,[status(thm)],[f5]) ).

fof(f50,plain,
    ! [X0,X1,X2,X3] :
      ( ssPv7(X1)
      | ssPv5(X1)
      | ssPv6(X3)
      | ~ ssRr(X1,X2)
      | ~ ssRr(X2,X3)
      | ~ ssPv7(X0)
      | ~ ssRr(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f49]) ).

fof(f51,plain,
    ! [W] :
      ( ssPv4(W)
      | ! [X] :
          ( ssPv4(X)
          | ! [U] :
              ( ssPv1(U)
              | ~ ssPv7(W)
              | ~ ssRr(W,X)
              | ! [V] :
                  ( ~ ssRr(V,W)
                  | ~ ssRr(U,V) ) ) ) ),
    inference(miniscoping,[status(thm)],[f6]) ).

fof(f52,plain,
    ! [X0,X1,X2,X3] :
      ( ssPv4(X2)
      | ssPv4(X3)
      | ssPv1(X0)
      | ~ ssPv7(X2)
      | ~ ssRr(X2,X3)
      | ~ ssRr(X1,X2)
      | ~ ssRr(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f51]) ).

fof(f53,plain,
    ! [W] :
      ( ssPv8(W)
      | ! [X] :
          ( ssPv5(X)
          | ~ ssPv1(W)
          | ~ ssRr(W,X)
          | ! [V] :
              ( ~ ssRr(V,W)
              | ! [U] :
                  ( ~ ssPv4(U)
                  | ~ ssRr(U,V) ) ) ) ),
    inference(miniscoping,[status(thm)],[f7]) ).

fof(f54,plain,
    ! [X0,X1,X2,X3] :
      ( ssPv8(X2)
      | ssPv5(X3)
      | ~ ssPv1(X2)
      | ~ ssRr(X2,X3)
      | ~ ssRr(X1,X2)
      | ~ ssPv4(X0)
      | ~ ssRr(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f53]) ).

fof(f55,plain,
    ! [W] :
      ( ssPv8(W)
      | ! [X] :
          ( ssPv3(X)
          | ~ ssPv4(W)
          | ~ ssRr(W,X)
          | ! [V] :
              ( ~ ssRr(V,W)
              | ! [U] :
                  ( ~ ssPv6(U)
                  | ~ ssRr(U,V) ) ) ) ),
    inference(miniscoping,[status(thm)],[f8]) ).

fof(f56,plain,
    ! [X0,X1,X2,X3] :
      ( ssPv8(X2)
      | ssPv3(X3)
      | ~ ssPv4(X2)
      | ~ ssRr(X2,X3)
      | ~ ssRr(X1,X2)
      | ~ ssPv6(X0)
      | ~ ssRr(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f55]) ).

fof(f57,plain,
    ! [V] :
      ( ssPv2(V)
      | ! [X] :
          ( ssPv8(X)
          | ~ ssPv3(V)
          | ! [W] :
              ( ~ ssRr(V,W)
              | ~ ssRr(W,X)
              | ! [U] :
                  ( ~ ssPv7(U)
                  | ~ ssRr(U,V) ) ) ) ),
    inference(miniscoping,[status(thm)],[f9]) ).

fof(f58,plain,
    ! [X0,X1,X2,X3] :
      ( ssPv2(X1)
      | ssPv8(X3)
      | ~ ssPv3(X1)
      | ~ ssRr(X1,X2)
      | ~ ssRr(X2,X3)
      | ~ ssPv7(X0)
      | ~ ssRr(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f57]) ).

fof(f59,plain,
    ! [V] :
      ( ssPv7(V)
      | ~ ssPv8(V)
      | ! [W] :
          ( ~ ssRr(V,W)
          | ! [X] :
              ( ~ ssPv2(X)
              | ~ ssRr(W,X)
              | ! [U] :
                  ( ~ ssPv8(U)
                  | ~ ssRr(U,V) ) ) ) ),
    inference(miniscoping,[status(thm)],[f10]) ).

fof(f60,plain,
    ! [X0,X1,X2,X3] :
      ( ssPv7(X1)
      | ~ ssPv8(X1)
      | ~ ssRr(X1,X2)
      | ~ ssPv2(X3)
      | ~ ssRr(X2,X3)
      | ~ ssPv8(X0)
      | ~ ssRr(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f59]) ).

fof(f61,plain,
    ! [X] :
      ( ssPv7(X)
      | ! [V] :
          ( ~ ssPv7(V)
          | ~ ssPv4(V)
          | ! [W] :
              ( ~ ssRr(V,W)
              | ~ ssRr(W,X)
              | ! [U] :
                  ( ~ ssPv6(U)
                  | ~ ssRr(U,V) ) ) ) ),
    inference(miniscoping,[status(thm)],[f11]) ).

fof(f62,plain,
    ! [X0,X1,X2,X3] :
      ( ssPv7(X3)
      | ~ ssPv7(X1)
      | ~ ssPv4(X1)
      | ~ ssRr(X1,X2)
      | ~ ssRr(X2,X3)
      | ~ ssPv6(X0)
      | ~ ssRr(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f61]) ).

fof(f63,plain,
    ! [V] :
      ( ssPv4(V)
      | ~ ssPv1(V)
      | ! [W] :
          ( ~ ssRr(V,W)
          | ! [X] :
              ( ~ ssPv3(X)
              | ~ ssRr(W,X)
              | ! [U] :
                  ( ~ ssPv4(U)
                  | ~ ssRr(U,V) ) ) ) ),
    inference(miniscoping,[status(thm)],[f12]) ).

fof(f64,plain,
    ! [X0,X1,X2,X3] :
      ( ssPv4(X1)
      | ~ ssPv1(X1)
      | ~ ssRr(X1,X2)
      | ~ ssPv3(X3)
      | ~ ssRr(X2,X3)
      | ~ ssPv4(X0)
      | ~ ssRr(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f63]) ).

fof(f65,plain,
    ! [V] :
      ( ssPv2(V)
      | ~ ssPv6(V)
      | ! [W] :
          ( ~ ssRr(V,W)
          | ! [X] :
              ( ~ ssPv2(X)
              | ~ ssRr(W,X)
              | ! [U] :
                  ( ~ ssPv7(U)
                  | ~ ssRr(U,V) ) ) ) ),
    inference(miniscoping,[status(thm)],[f13]) ).

fof(f66,plain,
    ! [X0,X1,X2,X3] :
      ( ssPv2(X1)
      | ~ ssPv6(X1)
      | ~ ssRr(X1,X2)
      | ~ ssPv2(X3)
      | ~ ssRr(X2,X3)
      | ~ ssPv7(X0)
      | ~ ssRr(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f65]) ).

fof(f67,plain,
    ! [W] :
      ( ssPv5(W)
      | ~ ssPv7(W)
      | ! [X] :
          ( ~ ssPv2(X)
          | ~ ssRr(W,X)
          | ! [V] :
              ( ~ ssRr(V,W)
              | ! [U] :
                  ( ~ ssPv1(U)
                  | ~ ssRr(U,V) ) ) ) ),
    inference(miniscoping,[status(thm)],[f14]) ).

fof(f68,plain,
    ! [X0,X1,X2,X3] :
      ( ssPv5(X2)
      | ~ ssPv7(X2)
      | ~ ssPv2(X3)
      | ~ ssRr(X2,X3)
      | ~ ssRr(X1,X2)
      | ~ ssPv1(X0)
      | ~ ssRr(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f67]) ).

fof(f69,plain,
    ! [V] :
      ( ~ ssPv6(V)
      | ~ ssPv3(V)
      | ! [W] :
          ( ~ ssRr(V,W)
          | ! [X] :
              ( ~ ssPv4(X)
              | ~ ssRr(W,X)
              | ! [U] :
                  ( ~ ssPv6(U)
                  | ~ ssRr(U,V) ) ) ) ),
    inference(miniscoping,[status(thm)],[f15]) ).

fof(f70,plain,
    ! [X0,X1,X2,X3] :
      ( ~ ssPv6(X1)
      | ~ ssPv3(X1)
      | ~ ssRr(X1,X2)
      | ~ ssPv4(X3)
      | ~ ssRr(X2,X3)
      | ~ ssPv6(X0)
      | ~ ssRr(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f69]) ).

fof(f71,plain,
    ! [V] :
      ( ssPv8(V)
      | ! [X] :
          ( ssPv3(X)
          | ! [U] :
              ( ssPv7(U)
              | ! [Y] :
                  ( ~ ssPv1(Y)
                  | ~ ssRr(V,Y)
                  | ! [W] :
                      ( ~ ssRr(V,W)
                      | ~ ssRr(W,X)
                      | ~ ssRr(U,V) ) ) ) ) ),
    inference(miniscoping,[status(thm)],[f16]) ).

fof(f72,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ssPv8(X1)
      | ssPv3(X3)
      | ssPv7(X0)
      | ~ ssPv1(X4)
      | ~ ssRr(X1,X4)
      | ~ ssRr(X1,X2)
      | ~ ssRr(X2,X3)
      | ~ ssRr(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f71]) ).

fof(f73,plain,
    ! [V] :
      ( ssPv8(V)
      | ! [Y] :
          ( ssPv1(Y)
          | ! [U] :
              ( ssPv8(U)
              | ~ ssRr(V,Y)
              | ! [W] :
                  ( ~ ssRr(V,W)
                  | ! [X] :
                      ( ~ ssPv2(X)
                      | ~ ssRr(W,X)
                      | ~ ssRr(U,V) ) ) ) ) ),
    inference(miniscoping,[status(thm)],[f17]) ).

fof(f74,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ssPv8(X1)
      | ssPv1(X4)
      | ssPv8(X0)
      | ~ ssRr(X1,X4)
      | ~ ssRr(X1,X2)
      | ~ ssPv2(X3)
      | ~ ssRr(X2,X3)
      | ~ ssRr(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f73]) ).

fof(f75,plain,
    ! [Y] :
      ( ssPv8(Y)
      | ! [U] :
          ( ssPv4(U)
          | ! [W] :
              ( ~ ssPv7(W)
              | ~ ssRr(W,Y)
              | ! [X] :
                  ( ~ ssPv8(X)
                  | ~ ssRr(W,X)
                  | ! [V] :
                      ( ~ ssRr(V,W)
                      | ~ ssRr(U,V) ) ) ) ) ),
    inference(miniscoping,[status(thm)],[f18]) ).

fof(f76,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ssPv8(X4)
      | ssPv4(X0)
      | ~ ssPv7(X2)
      | ~ ssRr(X2,X4)
      | ~ ssPv8(X3)
      | ~ ssRr(X2,X3)
      | ~ ssRr(X1,X2)
      | ~ ssRr(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f75]) ).

fof(f77,plain,
    ! [X] :
      ( ssPv2(X)
      | ! [U] :
          ( ssPv7(U)
          | ! [W] :
              ( ~ ssPv3(W)
              | ~ ssPv2(W)
              | ! [Y] :
                  ( ~ ssRr(Y,W)
                  | ~ ssRr(X,Y)
                  | ! [V] :
                      ( ~ ssRr(V,W)
                      | ~ ssRr(U,V) ) ) ) ) ),
    inference(miniscoping,[status(thm)],[f19]) ).

fof(f78,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ssPv2(X3)
      | ssPv7(X0)
      | ~ ssPv3(X2)
      | ~ ssPv2(X2)
      | ~ ssRr(X4,X2)
      | ~ ssRr(X3,X4)
      | ~ ssRr(X1,X2)
      | ~ ssRr(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f77]) ).

fof(f79,plain,
    ! [V] :
      ( ssPv6(V)
      | ! [W] :
          ( ssPv5(W)
          | ! [X] :
              ( ~ ssRr(V,X)
              | ! [Y] :
                  ( ~ ssPv1(Y)
                  | ~ ssRr(X,Y)
                  | ~ ssRr(W,V)
                  | ! [U] :
                      ( ~ ssPv6(U)
                      | ~ ssRr(U,V) ) ) ) ) ),
    inference(miniscoping,[status(thm)],[f20]) ).

fof(f80,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ssPv6(X1)
      | ssPv5(X2)
      | ~ ssRr(X1,X3)
      | ~ ssPv1(X4)
      | ~ ssRr(X3,X4)
      | ~ ssRr(X2,X1)
      | ~ ssPv6(X0)
      | ~ ssRr(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f79]) ).

fof(f81,plain,
    ! [Y] :
      ( ssPv1(Y)
      | ! [W] :
          ( ~ ssPv7(W)
          | ~ ssRr(W,Y)
          | ! [X] :
              ( ~ ssPv6(X)
              | ~ ssRr(W,X)
              | ! [V] :
                  ( ~ ssRr(V,W)
                  | ! [U] :
                      ( ~ ssPv1(U)
                      | ~ ssRr(U,V) ) ) ) ) ),
    inference(miniscoping,[status(thm)],[f21]) ).

fof(f82,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ssPv1(X4)
      | ~ ssPv7(X2)
      | ~ ssRr(X2,X4)
      | ~ ssPv6(X3)
      | ~ ssRr(X2,X3)
      | ~ ssRr(X1,X2)
      | ~ ssPv1(X0)
      | ~ ssRr(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f81]) ).

fof(f83,plain,
    ! [Y] :
      ( ssPv5(Y)
      | ! [W] :
          ( ~ ssPv4(W)
          | ~ ssPv3(W)
          | ! [X] :
              ( ~ ssRr(W,X)
              | ~ ssRr(X,Y)
              | ! [V] :
                  ( ~ ssRr(V,W)
                  | ! [U] :
                      ( ~ ssPv6(U)
                      | ~ ssRr(U,V) ) ) ) ) ),
    inference(miniscoping,[status(thm)],[f22]) ).

fof(f84,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ssPv5(X4)
      | ~ ssPv4(X2)
      | ~ ssPv3(X2)
      | ~ ssRr(X2,X3)
      | ~ ssRr(X3,X4)
      | ~ ssRr(X1,X2)
      | ~ ssPv6(X0)
      | ~ ssRr(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f83]) ).

fof(f85,plain,
    ! [U] :
      ( ssPv4(U)
      | ! [W] :
          ( ~ ssPv4(W)
          | ~ ssPv2(W)
          | ! [X] :
              ( ~ ssRr(W,X)
              | ! [Y] :
                  ( ~ ssPv3(Y)
                  | ~ ssRr(X,Y)
                  | ! [V] :
                      ( ~ ssRr(V,W)
                      | ~ ssRr(U,V) ) ) ) ) ),
    inference(miniscoping,[status(thm)],[f23]) ).

fof(f86,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ssPv4(X0)
      | ~ ssPv4(X2)
      | ~ ssPv2(X2)
      | ~ ssRr(X2,X3)
      | ~ ssPv3(X4)
      | ~ ssRr(X3,X4)
      | ~ ssRr(X1,X2)
      | ~ ssRr(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f85]) ).

fof(f87,plain,
    ! [W] :
      ( ssPv7(W)
      | ~ ssPv4(W)
      | ! [X] :
          ( ~ ssRr(W,X)
          | ! [Y] :
              ( ~ ssPv2(Y)
              | ~ ssRr(X,Y)
              | ! [U] :
                  ( ~ ssRr(W,U)
                  | ! [V] :
                      ( ~ ssPv5(V)
                      | ~ ssRr(U,V) ) ) ) ) ),
    inference(miniscoping,[status(thm)],[f24]) ).

fof(f88,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ssPv7(X2)
      | ~ ssPv4(X2)
      | ~ ssRr(X2,X3)
      | ~ ssPv2(X4)
      | ~ ssRr(X3,X4)
      | ~ ssRr(X2,X0)
      | ~ ssPv5(X1)
      | ~ ssRr(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f87]) ).

fof(f89,plain,
    ! [W] :
      ( ~ ssPv1(W)
      | ! [Y] :
          ( ~ ssPv4(Y)
          | ~ ssRr(W,Y)
          | ! [X] :
              ( ~ ssPv6(X)
              | ~ ssRr(W,X)
              | ! [V] :
                  ( ~ ssRr(V,W)
                  | ! [U] :
                      ( ~ ssPv6(U)
                      | ~ ssRr(U,V) ) ) ) ) ),
    inference(miniscoping,[status(thm)],[f25]) ).

fof(f90,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ ssPv1(X2)
      | ~ ssPv4(X4)
      | ~ ssRr(X2,X4)
      | ~ ssPv6(X3)
      | ~ ssRr(X2,X3)
      | ~ ssRr(X1,X2)
      | ~ ssPv6(X0)
      | ~ ssRr(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f89]) ).

fof(f91,plain,
    ! [W] :
      ( ssPv4(W)
      | ! [Y] :
          ( ssPv6(Y)
          | ! [U] :
              ( ssPv3(U)
              | ! [Z] :
                  ( ~ ssPv8(Z)
                  | ~ ssRr(W,Z)
                  | ! [X] :
                      ( ~ ssRr(W,X)
                      | ~ ssRr(X,Y)
                      | ! [V] :
                          ( ~ ssRr(V,W)
                          | ~ ssRr(U,V) ) ) ) ) ) ),
    inference(miniscoping,[status(thm)],[f26]) ).

fof(f92,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ssPv4(X2)
      | ssPv6(X4)
      | ssPv3(X0)
      | ~ ssPv8(X5)
      | ~ ssRr(X2,X5)
      | ~ ssRr(X2,X3)
      | ~ ssRr(X3,X4)
      | ~ ssRr(X1,X2)
      | ~ ssRr(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f91]) ).

fof(f93,plain,
    ! [Z] :
      ( ssPv1(Z)
      | ! [Y] :
          ( ssPv8(Y)
          | ! [U] :
              ( ssPv8(U)
              | ! [W] :
                  ( ~ ssPv3(W)
                  | ~ ssRr(W,Z)
                  | ! [X] :
                      ( ~ ssRr(W,X)
                      | ~ ssRr(X,Y)
                      | ! [V] :
                          ( ~ ssRr(V,W)
                          | ~ ssRr(U,V) ) ) ) ) ) ),
    inference(miniscoping,[status(thm)],[f27]) ).

fof(f94,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ssPv1(X5)
      | ssPv8(X4)
      | ssPv8(X0)
      | ~ ssPv3(X2)
      | ~ ssRr(X2,X5)
      | ~ ssRr(X2,X3)
      | ~ ssRr(X3,X4)
      | ~ ssRr(X1,X2)
      | ~ ssRr(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f93]) ).

fof(f95,plain,
    ! [W] :
      ( ssPv5(W)
      | ! [Z] :
          ( ssPv4(Z)
          | ! [U] :
              ( ssPv6(U)
              | ! [Y] :
                  ( ~ ssRr(W,Y)
                  | ~ ssRr(Y,Z)
                  | ! [X] :
                      ( ~ ssPv4(X)
                      | ~ ssRr(X,W)
                      | ! [V] :
                          ( ~ ssRr(V,W)
                          | ~ ssRr(U,V) ) ) ) ) ) ),
    inference(miniscoping,[status(thm)],[f28]) ).

fof(f96,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ssPv5(X2)
      | ssPv4(X5)
      | ssPv6(X0)
      | ~ ssRr(X2,X4)
      | ~ ssRr(X4,X5)
      | ~ ssPv4(X3)
      | ~ ssRr(X3,X2)
      | ~ ssRr(X1,X2)
      | ~ ssRr(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f95]) ).

fof(f97,plain,
    ! [W] :
      ( ssPv2(W)
      | ! [X] :
          ( ssPv2(X)
          | ! [U] :
              ( ssPv7(U)
              | ! [Y] :
                  ( ~ ssRr(W,Y)
                  | ! [Z] :
                      ( ~ ssPv3(Z)
                      | ~ ssRr(Y,Z)
                      | ~ ssRr(X,W)
                      | ! [V] :
                          ( ~ ssRr(V,W)
                          | ~ ssRr(U,V) ) ) ) ) ) ),
    inference(miniscoping,[status(thm)],[f29]) ).

fof(f98,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ssPv2(X2)
      | ssPv2(X3)
      | ssPv7(X0)
      | ~ ssRr(X2,X4)
      | ~ ssPv3(X5)
      | ~ ssRr(X4,X5)
      | ~ ssRr(X3,X2)
      | ~ ssRr(X1,X2)
      | ~ ssRr(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f97]) ).

fof(f99,plain,
    ! [Z] :
      ( ssPv8(Z)
      | ! [X] :
          ( ssPv5(X)
          | ! [U] :
              ( ssPv6(U)
              | ! [W] :
                  ( ~ ssPv8(W)
                  | ! [Y] :
                      ( ~ ssRr(W,Y)
                      | ~ ssRr(Y,Z)
                      | ~ ssRr(X,W)
                      | ! [V] :
                          ( ~ ssRr(V,W)
                          | ~ ssRr(U,V) ) ) ) ) ) ),
    inference(miniscoping,[status(thm)],[f30]) ).

fof(f100,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ssPv8(X5)
      | ssPv5(X3)
      | ssPv6(X0)
      | ~ ssPv8(X2)
      | ~ ssRr(X2,X4)
      | ~ ssRr(X4,X5)
      | ~ ssRr(X3,X2)
      | ~ ssRr(X1,X2)
      | ~ ssRr(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f99]) ).

fof(f101,plain,
    ! [W] :
      ( ssPv7(W)
      | ! [Z] :
          ( ssPv6(Z)
          | ! [Y] :
              ( ssPv2(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)],[f31]) ).

fof(f102,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ssPv7(X2)
      | ssPv6(X5)
      | ssPv2(X4)
      | ~ ssRr(X2,X5)
      | ~ ssRr(X2,X3)
      | ~ ssRr(X3,X4)
      | ~ ssRr(X2,X0)
      | ~ ssPv6(X1)
      | ~ ssRr(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f101]) ).

fof(f103,plain,
    ! [Z] :
      ( ssPv3(Z)
      | ! [X] :
          ( ssPv6(X)
          | ! [V] :
              ( ~ ssPv5(V)
              | ! [Y] :
                  ( ~ ssRr(V,Y)
                  | ~ ssRr(Y,Z)
                  | ! [W] :
                      ( ~ ssRr(V,W)
                      | ~ ssRr(W,X)
                      | ! [U] :
                          ( ~ ssPv3(U)
                          | ~ ssRr(U,V) ) ) ) ) ) ),
    inference(miniscoping,[status(thm)],[f32]) ).

fof(f104,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ssPv3(X5)
      | ssPv6(X3)
      | ~ ssPv5(X1)
      | ~ ssRr(X1,X4)
      | ~ ssRr(X4,X5)
      | ~ ssRr(X1,X2)
      | ~ ssRr(X2,X3)
      | ~ ssPv3(X0)
      | ~ ssRr(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f103]) ).

fof(f105,plain,
    ! [W] :
      ( ssPv7(W)
      | ! [Y] :
          ( ssPv4(Y)
          | ! [Z] :
              ( ~ ssPv3(Z)
              | ~ ssRr(W,Z)
              | ! [X] :
                  ( ~ ssRr(W,X)
                  | ~ ssRr(X,Y)
                  | ! [V] :
                      ( ~ ssRr(V,W)
                      | ! [U] :
                          ( ~ ssPv7(U)
                          | ~ ssRr(U,V) ) ) ) ) ) ),
    inference(miniscoping,[status(thm)],[f33]) ).

fof(f106,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ssPv7(X2)
      | ssPv4(X4)
      | ~ ssPv3(X5)
      | ~ ssRr(X2,X5)
      | ~ ssRr(X2,X3)
      | ~ ssRr(X3,X4)
      | ~ ssRr(X1,X2)
      | ~ ssPv7(X0)
      | ~ ssRr(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f105]) ).

fof(f107,plain,
    ! [X] :
      ( ssPv6(X)
      | ! [W] :
          ( ~ ssPv2(W)
          | ! [Z] :
              ( ~ ssPv7(Z)
              | ~ ssRr(W,Z)
              | ! [Y] :
                  ( ~ ssRr(Y,W)
                  | ~ ssRr(X,Y)
                  | ! [V] :
                      ( ~ ssRr(V,W)
                      | ! [U] :
                          ( ~ ssPv6(U)
                          | ~ ssRr(U,V) ) ) ) ) ) ),
    inference(miniscoping,[status(thm)],[f34]) ).

fof(f108,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ssPv6(X3)
      | ~ ssPv2(X2)
      | ~ ssPv7(X5)
      | ~ ssRr(X2,X5)
      | ~ ssRr(X4,X2)
      | ~ ssRr(X3,X4)
      | ~ ssRr(X1,X2)
      | ~ ssPv6(X0)
      | ~ ssRr(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f107]) ).

fof(f109,plain,
    ! [Z] :
      ( ssPv6(Z)
      | ! [W] :
          ( ~ ssPv1(W)
          | ~ ssRr(W,Z)
          | ! [X] :
              ( ~ ssRr(W,X)
              | ! [Y] :
                  ( ~ ssPv8(Y)
                  | ~ ssRr(X,Y)
                  | ! [V] :
                      ( ~ ssRr(V,W)
                      | ! [U] :
                          ( ~ ssPv7(U)
                          | ~ ssRr(U,V) ) ) ) ) ) ),
    inference(miniscoping,[status(thm)],[f35]) ).

fof(f110,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ssPv6(X5)
      | ~ ssPv1(X2)
      | ~ ssRr(X2,X5)
      | ~ ssRr(X2,X3)
      | ~ ssPv8(X4)
      | ~ ssRr(X3,X4)
      | ~ ssRr(X1,X2)
      | ~ ssPv7(X0)
      | ~ ssRr(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f109]) ).

fof(f111,plain,
    ! [W] :
      ( ssPv2(W)
      | ! [Y] :
          ( ~ ssRr(W,Y)
          | ! [Z] :
              ( ~ ssPv7(Z)
              | ~ ssRr(Y,Z)
              | ! [X] :
                  ( ~ ssPv7(X)
                  | ~ ssRr(X,W)
                  | ! [V] :
                      ( ~ ssRr(V,W)
                      | ! [U] :
                          ( ~ ssPv1(U)
                          | ~ ssRr(U,V) ) ) ) ) ) ),
    inference(miniscoping,[status(thm)],[f36]) ).

fof(f112,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ssPv2(X2)
      | ~ ssRr(X2,X4)
      | ~ ssPv7(X5)
      | ~ ssRr(X4,X5)
      | ~ ssPv7(X3)
      | ~ ssRr(X3,X2)
      | ~ ssRr(X1,X2)
      | ~ ssPv1(X0)
      | ~ ssRr(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f111]) ).

fof(f113,plain,
    ! [W] :
      ( ~ ssPv7(W)
      | ! [Z] :
          ( ~ ssPv1(Z)
          | ~ ssRr(W,Z)
          | ! [Y] :
              ( ~ ssRr(Y,W)
              | ! [X] :
                  ( ~ ssPv2(X)
                  | ~ ssRr(X,Y)
                  | ! [V] :
                      ( ~ ssRr(V,W)
                      | ! [U] :
                          ( ~ ssPv5(U)
                          | ~ ssRr(U,V) ) ) ) ) ) ),
    inference(miniscoping,[status(thm)],[f37]) ).

fof(f114,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ ssPv7(X2)
      | ~ ssPv1(X5)
      | ~ ssRr(X2,X5)
      | ~ ssRr(X4,X2)
      | ~ ssPv2(X3)
      | ~ ssRr(X3,X4)
      | ~ ssRr(X1,X2)
      | ~ ssPv5(X0)
      | ~ ssRr(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f113]) ).

fof(f115,plain,
    ! [W] :
      ( ~ ssPv5(W)
      | ! [Y] :
          ( ~ ssRr(W,Y)
          | ! [Z] :
              ( ~ ssPv8(Z)
              | ~ ssRr(Y,Z)
              | ! [X] :
                  ( ~ ssPv5(X)
                  | ~ ssRr(X,W)
                  | ! [V] :
                      ( ~ ssRr(V,W)
                      | ! [U] :
                          ( ~ ssPv1(U)
                          | ~ ssRr(U,V) ) ) ) ) ) ),
    inference(miniscoping,[status(thm)],[f38]) ).

fof(f116,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ ssPv5(X2)
      | ~ ssRr(X2,X4)
      | ~ ssPv8(X5)
      | ~ ssRr(X4,X5)
      | ~ ssPv5(X3)
      | ~ ssRr(X3,X2)
      | ~ ssRr(X1,X2)
      | ~ ssPv1(X0)
      | ~ ssRr(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f115]) ).

fof(f117,plain,
    ! [W] :
      ( ~ ssPv2(W)
      | ! [Z] :
          ( ~ ssPv6(Z)
          | ~ ssRr(W,Z)
          | ! [Y] :
              ( ~ ssRr(Y,W)
              | ! [X] :
                  ( ~ ssPv1(X)
                  | ~ ssRr(X,Y)
                  | ! [V] :
                      ( ~ ssRr(V,W)
                      | ! [U] :
                          ( ~ ssPv8(U)
                          | ~ ssRr(U,V) ) ) ) ) ) ),
    inference(miniscoping,[status(thm)],[f39]) ).

fof(f118,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ ssPv2(X2)
      | ~ ssPv6(X5)
      | ~ ssRr(X2,X5)
      | ~ ssRr(X4,X2)
      | ~ ssPv1(X3)
      | ~ ssRr(X3,X4)
      | ~ ssRr(X1,X2)
      | ~ ssPv8(X0)
      | ~ ssRr(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f117]) ).

fof(f119,plain,
    ! [X1] :
      ( ssPv1(X1)
      | ! [Y] :
          ( ssPv5(Y)
          | ! [U] :
              ( ssPv7(U)
              | ! [W] :
                  ( ~ ssPv8(W)
                  | ! [Z] :
                      ( ~ ssRr(W,Z)
                      | ~ ssRr(Z,X1)
                      | ! [X] :
                          ( ~ ssRr(W,X)
                          | ~ ssRr(X,Y)
                          | ! [V] :
                              ( ~ ssRr(V,W)
                              | ~ ssRr(U,V) ) ) ) ) ) ) ),
    inference(miniscoping,[status(thm)],[f40]) ).

fof(f120,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ssPv1(X6)
      | ssPv5(X4)
      | ssPv7(X0)
      | ~ ssPv8(X2)
      | ~ ssRr(X2,X5)
      | ~ ssRr(X5,X6)
      | ~ ssRr(X2,X3)
      | ~ ssRr(X3,X4)
      | ~ ssRr(X1,X2)
      | ~ ssRr(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f119]) ).

fof(f121,plain,
    ! [W] :
      ( ssPv7(W)
      | ! [X1] :
          ( ssPv6(X1)
          | ! [Y] :
              ( ssPv8(Y)
              | ! [Z] :
                  ( ~ ssRr(W,Z)
                  | ~ ssRr(Z,X1)
                  | ! [X] :
                      ( ~ ssRr(W,X)
                      | ~ ssRr(X,Y)
                      | ! [V] :
                          ( ~ ssRr(V,W)
                          | ! [U] :
                              ( ~ ssPv5(U)
                              | ~ ssRr(U,V) ) ) ) ) ) ) ),
    inference(miniscoping,[status(thm)],[f41]) ).

fof(f122,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ssPv7(X2)
      | ssPv6(X6)
      | ssPv8(X4)
      | ~ ssRr(X2,X5)
      | ~ ssRr(X5,X6)
      | ~ ssRr(X2,X3)
      | ~ ssRr(X3,X4)
      | ~ ssRr(X1,X2)
      | ~ ssPv5(X0)
      | ~ ssRr(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f121]) ).

fof(f123,plain,
    ! [W] :
      ( ssPv6(W)
      | ! [Z] :
          ( ~ ssRr(W,Z)
          | ! [X1] :
              ( ~ ssPv4(X1)
              | ~ ssRr(Z,X1)
              | ! [X] :
                  ( ~ ssRr(W,X)
                  | ! [Y] :
                      ( ~ ssPv8(Y)
                      | ~ ssRr(X,Y)
                      | ! [V] :
                          ( ~ ssRr(V,W)
                          | ! [U] :
                              ( ~ ssPv4(U)
                              | ~ ssRr(U,V) ) ) ) ) ) ) ),
    inference(miniscoping,[status(thm)],[f42]) ).

fof(f124,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ssPv6(X2)
      | ~ ssRr(X2,X5)
      | ~ ssPv4(X6)
      | ~ ssRr(X5,X6)
      | ~ ssRr(X2,X3)
      | ~ ssPv8(X4)
      | ~ ssRr(X3,X4)
      | ~ ssRr(X1,X2)
      | ~ ssPv4(X0)
      | ~ ssRr(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f123]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05  % Problem  : SYN794-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.06  % Command  : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.43  % Computer : n018.cluster.edu
% 0.18/0.43  % Model    : x86_64 x86_64
% 0.18/0.43  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.43  % Memory   : 8046.5625MB
% 0.18/0.43  % OS       : Linux 6.8.0-71-generic
% 0.18/0.43  % CPULimit : 300
% 0.18/0.43  % WCLimit  : 300
% 0.18/0.43  % DateTime : Mon Sep 21 11:18:59 UTC 2026
% 0.18/0.44  % CPUTime  : 
% 0.18/0.45  % Drodi V4.1.1
% 0.18/0.48  % SZS status Satisfiable for theBenchmark: Theory is satisfiable
% 0.18/0.48  % SZS output start Saturation for theBenchmark
% See solution above
% 0.18/0.50  % Elapsed time: 0.056646 seconds
% 0.18/0.50  % CPU time: 0.136472 seconds
% 0.18/0.50  % Total memory used: 12.155 MB
% 0.18/0.50  % Net memory used: 12.056 MB
%------------------------------------------------------------------------------