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Vampire---5.0.1.UNS-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : SYN755-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n020.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 : Tue Sep 29 02:01:26 PM UTC 2026

% Result   : Unsatisfiable 3.12s 1.09s
% Output   : Refutation 3.65s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   55
%            Number of leaves      :   29
% Syntax   : Number of formulae    :  192 (   6 unt;   0 def)
%            Number of atoms       :  817 (   0 equ)
%            Maximal formula atoms :    7 (   4 avg)
%            Number of connectives : 1014 ( 389   ~; 625   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   7 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    6 (   5 usr;   1 prp; 0-2 aty)
%            Number of functors    :    1 (   1 usr;   0 con; 1-1 aty)
%            Number of variables   :  302 ( 302   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
    ! [X0] : ssRr(X0,skf1(X0)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause1) ).

fof(f2,negated_conjecture,
    ! [X0,X1] :
      ( ~ ssRr(X0,X1)
      | ~ ssPv1(X1)
      | ssPv1(X0)
      | ssPv2(X0)
      | ssPv3(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause2) ).

fof(f3,negated_conjecture,
    ! [X0,X1] :
      ( ~ ssRr(X0,X1)
      | ~ ssPv3(X1)
      | ~ ssPv2(X0)
      | ssPv3(X0)
      | ssPv4(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause3) ).

fof(f4,negated_conjecture,
    ! [X0,X1] :
      ( ~ ssRr(X0,X1)
      | ~ ssPv1(X1)
      | ~ ssPv2(X0)
      | ssPv3(X0)
      | ssPv4(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause4) ).

fof(f5,negated_conjecture,
    ! [X0,X1] :
      ( ~ ssRr(X0,X1)
      | ~ ssPv4(X1)
      | ~ ssPv2(X0)
      | ssPv1(X0)
      | ssPv3(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause5) ).

fof(f6,negated_conjecture,
    ! [X0,X1] :
      ( ~ ssRr(X0,X1)
      | ~ ssPv1(X0)
      | ~ ssPv2(X0)
      | ~ ssPv4(X0)
      | ssPv3(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause6) ).

fof(f7,negated_conjecture,
    ! [X0,X1] :
      ( ~ ssRr(X0,X1)
      | ~ ssPv1(X1)
      | ~ ssPv2(X0)
      | ~ ssPv3(X0)
      | ~ ssPv4(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause7) ).

fof(f8,negated_conjecture,
    ! [X2,X0,X1] :
      ( ~ ssRr(X0,X2)
      | ~ ssRr(X0,X1)
      | ssPv4(X1)
      | ssPv1(X2)
      | ssPv2(X0)
      | ssPv3(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause8) ).

fof(f9,negated_conjecture,
    ! [X2,X0,X1] :
      ( ~ ssRr(X0,X2)
      | ~ ssRr(X0,X1)
      | ~ ssPv1(X0)
      | ssPv4(X1)
      | ssPv1(X2)
      | ssPv4(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause9) ).

fof(f10,negated_conjecture,
    ! [X2,X0,X1] :
      ( ~ ssRr(X0,X2)
      | ~ ssRr(X0,X1)
      | ~ ssPv2(X0)
      | ssPv3(X1)
      | ssPv2(X2)
      | ssPv3(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause10) ).

fof(f11,negated_conjecture,
    ! [X2,X0,X1] :
      ( ~ ssRr(X0,X2)
      | ~ ssPv1(X1)
      | ~ ssRr(X0,X1)
      | ssPv3(X2)
      | ssPv3(X0)
      | ssPv4(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause11) ).

fof(f12,negated_conjecture,
    ! [X2,X0,X1] :
      ( ~ ssRr(X0,X1)
      | ~ ssPv3(X1)
      | ~ ssRr(X0,X2)
      | ssPv4(X2)
      | ssPv2(X0)
      | ssPv4(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause12) ).

fof(f16,negated_conjecture,
    ! [X2,X0,X1] :
      ( ~ ssRr(X0,X2)
      | ~ ssPv1(X1)
      | ~ ssRr(X0,X1)
      | ssPv3(X2)
      | ssPv1(X0)
      | ssPv2(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause16) ).

fof(f17,negated_conjecture,
    ! [X2,X0,X1] :
      ( ~ ssRr(X0,X2)
      | ~ ssPv4(X1)
      | ~ ssRr(X0,X1)
      | ~ ssPv2(X0)
      | ssPv2(X2)
      | ssPv4(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause17) ).

fof(f21,negated_conjecture,
    ! [X2,X0,X1] :
      ( ~ ssRr(X0,X2)
      | ~ ssPv2(X1)
      | ~ ssRr(X0,X1)
      | ~ ssPv1(X0)
      | ssPv4(X2)
      | ssPv2(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause21) ).

fof(f22,negated_conjecture,
    ! [X2,X0,X1] :
      ( ~ ssRr(X0,X2)
      | ~ ssPv3(X1)
      | ~ ssRr(X0,X1)
      | ~ ssPv1(X0)
      | ssPv2(X2)
      | ssPv2(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause22) ).

fof(f24,negated_conjecture,
    ! [X2,X0,X1] :
      ( ~ ssRr(X0,X2)
      | ~ ssPv4(X1)
      | ~ ssRr(X0,X1)
      | ~ ssPv3(X2)
      | ssPv2(X0)
      | ssPv4(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause24) ).

fof(f27,negated_conjecture,
    ! [X2,X0,X1] :
      ( ~ ssRr(X0,X1)
      | ~ ssPv3(X1)
      | ~ ssRr(X0,X2)
      | ~ ssPv3(X0)
      | ssPv4(X2)
      | ssPv1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause27) ).

fof(f28,negated_conjecture,
    ! [X2,X0,X1] :
      ( ~ ssRr(X0,X2)
      | ~ ssPv3(X1)
      | ~ ssRr(X0,X1)
      | ~ ssPv2(X0)
      | ssPv4(X2)
      | ssPv1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause28) ).

fof(f31,negated_conjecture,
    ! [X2,X0,X1] :
      ( ~ ssRr(X0,X2)
      | ~ ssPv2(X1)
      | ~ ssRr(X0,X1)
      | ~ ssPv2(X0)
      | ~ ssPv4(X0)
      | ssPv1(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause31) ).

fof(f33,negated_conjecture,
    ! [X2,X0,X1] :
      ( ~ ssRr(X0,X2)
      | ~ ssPv4(X1)
      | ~ ssRr(X0,X1)
      | ~ ssPv3(X2)
      | ~ ssPv4(X0)
      | ssPv3(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause33) ).

fof(f34,negated_conjecture,
    ! [X2,X0,X1] :
      ( ~ ssRr(X0,X2)
      | ~ ssPv4(X1)
      | ~ ssRr(X0,X1)
      | ~ ssPv1(X2)
      | ~ ssPv4(X0)
      | ssPv3(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause34) ).

fof(f35,negated_conjecture,
    ! [X2,X0,X1] :
      ( ~ ssRr(X0,X2)
      | ~ ssPv2(X1)
      | ~ ssRr(X0,X1)
      | ~ ssPv1(X2)
      | ~ ssPv4(X0)
      | ssPv2(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause35) ).

fof(f36,negated_conjecture,
    ! [X2,X0,X1] :
      ( ~ ssRr(X0,X2)
      | ~ ssPv4(X1)
      | ~ ssRr(X0,X1)
      | ~ ssPv3(X2)
      | ~ ssPv3(X0)
      | ssPv1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause36) ).

fof(f37,negated_conjecture,
    ! [X2,X3,X0,X1] :
      ( ~ ssRr(X0,X3)
      | ~ ssPv2(X1)
      | ~ ssRr(X0,X2)
      | ~ ssRr(X0,X1)
      | ssPv3(X2)
      | ssPv1(X3)
      | ssPv4(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause37) ).

fof(f42,negated_conjecture,
    ! [X2,X3,X0,X1] :
      ( ~ ssRr(X0,X3)
      | ~ ssPv4(X1)
      | ~ ssRr(X0,X2)
      | ~ ssRr(X0,X1)
      | ~ ssPv4(X0)
      | ssPv3(X2)
      | ssPv2(X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause42) ).

fof(f45,negated_conjecture,
    ! [X2,X3,X0,X1] :
      ( ~ ssRr(X0,X3)
      | ~ ssPv4(X1)
      | ~ ssRr(X0,X2)
      | ~ ssPv3(X2)
      | ~ ssRr(X0,X1)
      | ssPv2(X3)
      | ssPv4(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause45) ).

fof(f50,negated_conjecture,
    ! [X2,X3,X0,X1] :
      ( ~ ssRr(X0,X3)
      | ~ ssPv3(X1)
      | ~ ssRr(X0,X2)
      | ~ ssPv1(X2)
      | ~ ssRr(X0,X1)
      | ~ ssPv3(X0)
      | ssPv4(X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause50) ).

fof(f51,negated_conjecture,
    ! [X2,X3,X0,X1] :
      ( ~ ssRr(X0,X3)
      | ~ ssPv4(X1)
      | ~ ssRr(X0,X2)
      | ~ ssPv2(X2)
      | ~ ssRr(X0,X1)
      | ~ ssPv1(X3)
      | ~ ssPv3(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause51) ).

fof(f52,plain,
    ! [X2,X0,X1] :
      ( ~ ssRr(X0,X2)
      | ~ ssPv3(X1)
      | ~ ssRr(X0,X1)
      | ~ ssPv3(X0)
      | ssPv1(X0) ),
    inference(forward_subsumption_resolution,[],[f27,f36]) ).

fof(f54,plain,
    ! [X2,X0,X1] :
      ( ~ ssRr(X0,X2)
      | ~ ssPv3(X1)
      | ~ ssRr(X0,X1)
      | ssPv2(X0)
      | ssPv4(X0) ),
    inference(forward_subsumption_resolution,[],[f12,f24]) ).

fof(f55,plain,
    ! [X0] :
      ( ~ ssPv1(skf1(X0))
      | ssPv1(X0)
      | ssPv2(X0)
      | ssPv3(X0) ),
    inference(resolution,[],[f2,f1]) ).

fof(f56,plain,
    ! [X0] :
      ( ~ ssPv3(skf1(X0))
      | ~ ssPv2(X0)
      | ssPv3(X0)
      | ssPv4(X0) ),
    inference(resolution,[],[f3,f1]) ).

fof(f57,plain,
    ! [X0] :
      ( ~ ssPv1(skf1(X0))
      | ~ ssPv2(X0)
      | ssPv3(X0)
      | ssPv4(X0) ),
    inference(resolution,[],[f4,f1]) ).

fof(f58,plain,
    ! [X0] :
      ( ~ ssPv4(skf1(X0))
      | ~ ssPv2(X0)
      | ssPv1(X0)
      | ssPv3(X0) ),
    inference(resolution,[],[f5,f1]) ).

fof(f59,plain,
    ! [X0] :
      ( ssPv3(skf1(X0))
      | ~ ssPv2(X0)
      | ~ ssPv4(X0)
      | ~ ssPv1(X0) ),
    inference(resolution,[],[f6,f1]) ).

fof(f62,plain,
    ! [X0] :
      ( ~ ssPv1(skf1(X0))
      | ~ ssPv2(X0)
      | ~ ssPv3(X0)
      | ~ ssPv4(X0) ),
    inference(resolution,[],[f7,f1]) ).

fof(f63,plain,
    ! [X0,X1] :
      ( ~ ssRr(X1,X0)
      | ~ ssPv3(X0)
      | ~ ssPv3(X1)
      | ssPv1(X1) ),
    inference(resolution,[],[f52,f1]) ).

fof(f64,plain,
    ! [X0] :
      ( ~ ssPv3(skf1(X0))
      | ~ ssPv3(X0)
      | ssPv1(X0) ),
    inference(resolution,[],[f63,f1]) ).

fof(f67,plain,
    ! [X0,X1] :
      ( ~ ssRr(X1,X0)
      | ~ ssPv3(X0)
      | ssPv2(X1)
      | ssPv4(X1) ),
    inference(resolution,[],[f54,f1]) ).

fof(f68,plain,
    ! [X0] :
      ( ~ ssPv3(skf1(X0))
      | ssPv2(X0)
      | ssPv4(X0) ),
    inference(resolution,[],[f67,f1]) ).

fof(f69,plain,
    ! [X0,X1] :
      ( ~ ssRr(X0,X1)
      | ssPv4(X1)
      | ssPv1(skf1(X0))
      | ssPv2(X0)
      | ssPv3(X0) ),
    inference(resolution,[],[f8,f1]) ).

fof(f71,plain,
    ! [X0,X1] :
      ( ~ ssRr(X0,X1)
      | ~ ssPv1(X0)
      | ssPv4(X1)
      | ssPv1(skf1(X0))
      | ssPv4(X0) ),
    inference(resolution,[],[f9,f1]) ).

fof(f73,plain,
    ! [X0,X1] :
      ( ~ ssRr(X0,X1)
      | ~ ssPv2(X0)
      | ssPv3(X1)
      | ssPv2(skf1(X0))
      | ssPv3(X0) ),
    inference(resolution,[],[f10,f1]) ).

fof(f74,plain,
    ! [X0] :
      ( ssPv4(skf1(X0))
      | ssPv1(skf1(X0))
      | ssPv2(X0)
      | ssPv3(X0) ),
    inference(resolution,[],[f69,f1]) ).

fof(f75,plain,
    ! [X0,X1] :
      ( ~ ssRr(X1,X0)
      | ~ ssPv1(X0)
      | ssPv3(skf1(X1))
      | ssPv3(X1)
      | ssPv4(X1) ),
    inference(resolution,[],[f11,f1]) ).

fof(f79,plain,
    ! [X0] :
      ( ssPv4(skf1(X0))
      | ~ ssPv1(X0)
      | ssPv1(skf1(X0))
      | ssPv4(X0) ),
    inference(resolution,[],[f71,f1]) ).

fof(f82,plain,
    ! [X0,X1] :
      ( ~ ssRr(X1,X0)
      | ~ ssPv1(X0)
      | ssPv3(skf1(X1))
      | ssPv1(X1)
      | ssPv2(X1) ),
    inference(resolution,[],[f16,f1]) ).

fof(f83,plain,
    ! [X0] :
      ( ssPv3(skf1(X0))
      | ~ ssPv2(X0)
      | ssPv2(skf1(X0))
      | ssPv3(X0) ),
    inference(resolution,[],[f73,f1]) ).

fof(f84,plain,
    ! [X0,X1] :
      ( ~ ssRr(X1,X0)
      | ~ ssPv4(X0)
      | ~ ssPv2(X1)
      | ssPv2(skf1(X1))
      | ssPv4(X1) ),
    inference(resolution,[],[f17,f1]) ).

fof(f87,plain,
    ! [X0] :
      ( ~ ssPv2(X0)
      | ssPv2(skf1(X0))
      | ssPv3(X0)
      | ~ ssPv2(X0)
      | ssPv3(X0)
      | ssPv4(X0) ),
    inference(resolution,[],[f83,f56]) ).

fof(f88,plain,
    ! [X0] :
      ( ssPv2(skf1(X0))
      | ~ ssPv2(X0)
      | ssPv3(X0)
      | ssPv4(X0) ),
    inference(duplicate_literal_removal,[],[f87]) ).

fof(f91,plain,
    ! [X0] :
      ( ~ ssPv1(skf1(X0))
      | ssPv3(skf1(X0))
      | ssPv3(X0)
      | ssPv4(X0) ),
    inference(resolution,[],[f75,f1]) ).

fof(f93,plain,
    ! [X0,X1] :
      ( ~ ssRr(X1,X0)
      | ~ ssPv2(X0)
      | ~ ssPv1(X1)
      | ssPv4(skf1(X1))
      | ssPv2(X1) ),
    inference(resolution,[],[f21,f1]) ).

fof(f95,plain,
    ! [X0,X1] :
      ( ~ ssRr(X1,X0)
      | ~ ssPv3(X0)
      | ~ ssPv1(X1)
      | ssPv2(skf1(X1))
      | ssPv2(X1) ),
    inference(resolution,[],[f22,f1]) ).

fof(f103,plain,
    ! [X0] :
      ( ~ ssPv1(skf1(X0))
      | ssPv3(skf1(X0))
      | ssPv1(X0)
      | ssPv2(X0) ),
    inference(resolution,[],[f82,f1]) ).

fof(f105,plain,
    ! [X0,X1] :
      ( ~ ssRr(X1,X0)
      | ~ ssPv3(X0)
      | ~ ssPv2(X1)
      | ssPv4(skf1(X1))
      | ssPv1(X1) ),
    inference(resolution,[],[f28,f1]) ).

fof(f106,plain,
    ! [X0] :
      ( ~ ssPv4(skf1(X0))
      | ~ ssPv2(X0)
      | ssPv2(skf1(X0))
      | ssPv4(X0) ),
    inference(resolution,[],[f84,f1]) ).

fof(f114,plain,
    ! [X0,X1] :
      ( ~ ssRr(X1,X0)
      | ~ ssPv2(X0)
      | ~ ssPv2(X1)
      | ~ ssPv4(X1)
      | ssPv1(skf1(X1)) ),
    inference(resolution,[],[f31,f1]) ).

fof(f118,plain,
    ! [X0,X1] :
      ( ~ ssPv3(skf1(X1))
      | ~ ssRr(X1,X0)
      | ~ ssPv4(X0)
      | ~ ssPv4(X1)
      | ssPv3(X1) ),
    inference(resolution,[],[f33,f1]) ).

fof(f119,plain,
    ! [X0,X1] :
      ( ~ ssPv1(skf1(X1))
      | ~ ssRr(X1,X0)
      | ~ ssPv4(X0)
      | ~ ssPv4(X1)
      | ssPv3(X1) ),
    inference(resolution,[],[f34,f1]) ).

fof(f120,plain,
    ! [X0] :
      ( ~ ssPv2(skf1(X0))
      | ~ ssPv1(X0)
      | ssPv4(skf1(X0))
      | ssPv2(X0) ),
    inference(resolution,[],[f93,f1]) ).

fof(f121,plain,
    ! [X0,X1] :
      ( ~ ssPv1(skf1(X1))
      | ~ ssRr(X1,X0)
      | ~ ssPv2(X0)
      | ~ ssPv4(X1)
      | ssPv2(X1) ),
    inference(resolution,[],[f35,f1]) ).

fof(f124,plain,
    ! [X0] :
      ( ~ ssPv3(skf1(X0))
      | ~ ssPv1(X0)
      | ssPv2(skf1(X0))
      | ssPv2(X0) ),
    inference(resolution,[],[f95,f1]) ).

fof(f125,plain,
    ! [X2,X0,X1] :
      ( ~ ssRr(X1,X2)
      | ~ ssPv2(X0)
      | ~ ssRr(X1,X0)
      | ssPv3(X2)
      | ssPv1(skf1(X1))
      | ssPv4(X1) ),
    inference(resolution,[],[f37,f1]) ).

fof(f137,plain,
    ! [X0] :
      ( ~ ssPv3(skf1(X0))
      | ~ ssPv2(X0)
      | ssPv4(skf1(X0))
      | ssPv1(X0) ),
    inference(resolution,[],[f105,f1]) ).

fof(f138,plain,
    ! [X2,X0,X1] :
      ( ~ ssRr(X1,X2)
      | ~ ssPv4(X0)
      | ~ ssRr(X1,X0)
      | ~ ssPv4(X1)
      | ssPv3(X2)
      | ssPv2(skf1(X1)) ),
    inference(resolution,[],[f42,f1]) ).

fof(f139,plain,
    ! [X0] :
      ( ~ ssPv2(X0)
      | ssPv4(skf1(X0))
      | ssPv1(X0)
      | ~ ssPv2(X0)
      | ssPv2(skf1(X0))
      | ssPv3(X0) ),
    inference(resolution,[],[f137,f83]) ).

fof(f142,plain,
    ! [X0] :
      ( ~ ssPv2(X0)
      | ssPv4(skf1(X0))
      | ssPv1(X0)
      | ssPv2(skf1(X0))
      | ssPv3(X0) ),
    inference(duplicate_literal_removal,[],[f139]) ).

fof(f143,plain,
    ! [X0] :
      ( ssPv2(skf1(X0))
      | ssPv1(X0)
      | ~ ssPv2(X0)
      | ssPv3(X0) ),
    inference(forward_subsumption_resolution,[],[f142,f58]) ).

fof(f154,plain,
    ! [X2,X0,X1] :
      ( ~ ssRr(X1,X2)
      | ~ ssPv4(X0)
      | ~ ssPv3(X2)
      | ~ ssRr(X1,X0)
      | ssPv2(skf1(X1))
      | ssPv4(X1) ),
    inference(resolution,[],[f45,f1]) ).

fof(f155,plain,
    ! [X0] :
      ( ~ ssPv2(skf1(X0))
      | ~ ssPv2(X0)
      | ~ ssPv4(X0)
      | ssPv1(skf1(X0)) ),
    inference(resolution,[],[f114,f1]) ).

fof(f176,plain,
    ! [X0,X1] :
      ( ~ ssRr(X0,X1)
      | ~ ssPv4(X1)
      | ~ ssPv4(X0)
      | ssPv3(X0)
      | ~ ssPv2(X0)
      | ~ ssPv4(X0)
      | ~ ssPv1(X0) ),
    inference(resolution,[],[f118,f59]) ).

fof(f177,plain,
    ! [X0,X1] :
      ( ~ ssRr(X0,X1)
      | ~ ssPv4(X1)
      | ~ ssPv4(X0)
      | ssPv3(X0)
      | ~ ssPv2(X0)
      | ~ ssPv1(X0) ),
    inference(duplicate_literal_removal,[],[f176]) ).

fof(f179,plain,
    ! [X0,X1] :
      ( ~ ssRr(X0,X1)
      | ~ ssPv4(X1)
      | ~ ssPv4(X0)
      | ssPv3(X0)
      | ~ ssPv2(X0) ),
    inference(forward_subsumption_resolution,[],[f177,f5]) ).

fof(f182,plain,
    ! [X0] :
      ( ~ ssPv4(skf1(X0))
      | ~ ssPv4(X0)
      | ssPv3(X0)
      | ~ ssPv2(X0) ),
    inference(resolution,[],[f179,f1]) ).

fof(f183,plain,
    ! [X2,X0,X1] :
      ( ~ ssRr(X1,X2)
      | ~ ssPv3(X0)
      | ~ ssPv1(X2)
      | ~ ssRr(X1,X0)
      | ~ ssPv3(X1)
      | ssPv4(skf1(X1)) ),
    inference(resolution,[],[f50,f1]) ).

fof(f187,plain,
    ! [X2,X0,X1] :
      ( ~ ssPv1(skf1(X1))
      | ~ ssRr(X1,X2)
      | ~ ssPv2(X2)
      | ~ ssRr(X1,X0)
      | ~ ssPv4(X0)
      | ~ ssPv3(X1) ),
    inference(resolution,[],[f51,f1]) ).

fof(f200,plain,
    ! [X0,X1] :
      ( ~ ssRr(X1,X0)
      | ~ ssPv2(X0)
      | ssPv3(skf1(X1))
      | ssPv1(skf1(X1))
      | ssPv4(X1) ),
    inference(resolution,[],[f125,f1]) ).

fof(f208,plain,
    ! [X0] :
      ( ~ ssPv2(skf1(X0))
      | ssPv3(skf1(X0))
      | ssPv1(skf1(X0))
      | ssPv4(X0) ),
    inference(resolution,[],[f200,f1]) ).

fof(f212,plain,
    ! [X0] :
      ( ssPv3(skf1(X0))
      | ssPv1(skf1(X0))
      | ssPv4(X0)
      | ~ ssPv2(X0)
      | ssPv3(X0)
      | ssPv4(X0) ),
    inference(resolution,[],[f208,f88]) ).

fof(f213,plain,
    ! [X0] :
      ( ssPv3(skf1(X0))
      | ssPv1(skf1(X0))
      | ssPv4(X0)
      | ~ ssPv2(X0)
      | ssPv3(X0) ),
    inference(duplicate_literal_removal,[],[f212]) ).

fof(f215,plain,
    ! [X0] :
      ( ssPv1(skf1(X0))
      | ssPv4(X0)
      | ~ ssPv2(X0)
      | ssPv3(X0) ),
    inference(forward_subsumption_resolution,[],[f213,f56]) ).

fof(f218,plain,
    ! [X0] :
      ( ~ ssPv2(X0)
      | ssPv4(X0)
      | ssPv3(X0) ),
    inference(forward_subsumption_resolution,[],[f215,f57]) ).

fof(f219,plain,
    ! [X0,X1] :
      ( ~ ssRr(X1,X0)
      | ~ ssPv4(X0)
      | ~ ssPv4(X1)
      | ssPv3(skf1(X1))
      | ssPv2(skf1(X1)) ),
    inference(resolution,[],[f138,f1]) ).

fof(f221,plain,
    ! [X0] :
      ( ssPv4(skf1(X0))
      | ssPv3(skf1(X0))
      | ssPv1(X0)
      | ~ ssPv2(X0)
      | ssPv3(X0) ),
    inference(resolution,[],[f218,f143]) ).

fof(f223,plain,
    ! [X0] :
      ( ssPv3(skf1(X0))
      | ssPv1(X0)
      | ~ ssPv2(X0)
      | ssPv3(X0) ),
    inference(forward_subsumption_resolution,[],[f221,f58]) ).

fof(f227,plain,
    ! [X0] :
      ( ssPv1(X0)
      | ~ ssPv2(X0)
      | ssPv3(X0)
      | ~ ssPv2(X0)
      | ssPv4(skf1(X0))
      | ssPv1(X0) ),
    inference(resolution,[],[f223,f137]) ).

fof(f234,plain,
    ! [X0] :
      ( ssPv1(X0)
      | ~ ssPv2(X0)
      | ssPv3(X0)
      | ssPv4(skf1(X0)) ),
    inference(duplicate_literal_removal,[],[f227]) ).

fof(f236,plain,
    ! [X0] :
      ( ~ ssPv2(X0)
      | ssPv1(X0)
      | ssPv3(X0) ),
    inference(forward_subsumption_resolution,[],[f234,f58]) ).

fof(f243,plain,
    ! [X0,X1] :
      ( ~ ssPv3(skf1(X1))
      | ~ ssPv4(X0)
      | ~ ssRr(X1,X0)
      | ssPv2(skf1(X1))
      | ssPv4(X1) ),
    inference(resolution,[],[f154,f1]) ).

fof(f280,plain,
    ! [X0,X1] :
      ( ~ ssPv1(skf1(X1))
      | ~ ssPv3(X0)
      | ~ ssRr(X1,X0)
      | ~ ssPv3(X1)
      | ssPv4(skf1(X1)) ),
    inference(resolution,[],[f183,f1]) ).

fof(f281,plain,
    ! [X0] :
      ( ~ ssPv4(skf1(X0))
      | ~ ssPv4(X0)
      | ssPv3(skf1(X0))
      | ssPv2(skf1(X0)) ),
    inference(resolution,[],[f219,f1]) ).

fof(f285,plain,
    ! [X0] :
      ( ~ ssPv4(X0)
      | ssPv3(skf1(X0))
      | ssPv2(skf1(X0))
      | ssPv1(skf1(X0))
      | ssPv2(X0)
      | ssPv3(X0) ),
    inference(resolution,[],[f281,f74]) ).

fof(f286,plain,
    ! [X0] :
      ( ~ ssPv4(X0)
      | ssPv3(skf1(X0))
      | ssPv2(skf1(X0))
      | ssPv1(skf1(X0))
      | ssPv3(X0) ),
    inference(forward_subsumption_resolution,[],[f285,f83]) ).

fof(f288,plain,
    ! [X0] :
      ( ssPv3(skf1(X0))
      | ~ ssPv4(X0)
      | ssPv1(skf1(X0))
      | ssPv3(X0) ),
    inference(forward_subsumption_resolution,[],[f286,f236]) ).

fof(f290,plain,
    ! [X0,X1] :
      ( ~ ssPv4(X0)
      | ssPv1(skf1(X0))
      | ssPv3(X0)
      | ~ ssRr(X0,X1)
      | ~ ssPv4(X1)
      | ~ ssPv4(X0)
      | ssPv3(X0) ),
    inference(resolution,[],[f288,f118]) ).

fof(f297,plain,
    ! [X0,X1] :
      ( ~ ssPv4(X0)
      | ssPv1(skf1(X0))
      | ssPv3(X0)
      | ~ ssRr(X0,X1)
      | ~ ssPv4(X1) ),
    inference(duplicate_literal_removal,[],[f290]) ).

fof(f298,plain,
    ! [X0,X1] :
      ( ~ ssRr(X0,X1)
      | ssPv3(X0)
      | ~ ssPv4(X0)
      | ~ ssPv4(X1) ),
    inference(forward_subsumption_resolution,[],[f297,f119]) ).

fof(f300,plain,
    ! [X0] :
      ( ~ ssPv4(skf1(X0))
      | ~ ssPv4(X0)
      | ssPv3(X0) ),
    inference(resolution,[],[f298,f1]) ).

fof(f310,plain,
    ! [X0] :
      ( ~ ssPv4(X0)
      | ssPv3(X0)
      | ssPv1(skf1(X0))
      | ssPv2(X0)
      | ssPv3(X0) ),
    inference(resolution,[],[f300,f74]) ).

fof(f311,plain,
    ! [X0] :
      ( ssPv1(skf1(X0))
      | ssPv3(X0)
      | ~ ssPv4(X0)
      | ssPv2(X0) ),
    inference(duplicate_literal_removal,[],[f310]) ).

fof(f321,plain,
    ! [X0] :
      ( ssPv3(X0)
      | ~ ssPv4(X0)
      | ssPv2(X0)
      | ssPv1(X0)
      | ssPv2(X0)
      | ssPv3(X0) ),
    inference(resolution,[],[f311,f55]) ).

fof(f328,plain,
    ! [X0,X1] :
      ( ssPv3(X0)
      | ~ ssPv4(X0)
      | ssPv2(X0)
      | ~ ssRr(X0,X1)
      | ~ ssPv2(X1)
      | ~ ssPv4(X0)
      | ssPv2(X0) ),
    inference(resolution,[],[f311,f121]) ).

fof(f330,plain,
    ! [X0,X1] :
      ( ~ ssRr(X0,X1)
      | ~ ssPv4(X0)
      | ssPv2(X0)
      | ssPv3(X0)
      | ~ ssPv2(X1) ),
    inference(duplicate_literal_removal,[],[f328]) ).

fof(f337,plain,
    ! [X0] :
      ( ssPv3(X0)
      | ~ ssPv4(X0)
      | ssPv2(X0)
      | ssPv1(X0) ),
    inference(duplicate_literal_removal,[],[f321]) ).

fof(f339,plain,
    ! [X0] :
      ( ~ ssPv4(X0)
      | ssPv3(X0)
      | ssPv1(X0) ),
    inference(forward_subsumption_resolution,[],[f337,f236]) ).

fof(f347,plain,
    ! [X0] :
      ( ssPv3(skf1(X0))
      | ssPv1(skf1(X0))
      | ~ ssPv1(X0)
      | ssPv1(skf1(X0))
      | ssPv4(X0) ),
    inference(resolution,[],[f339,f79]) ).

fof(f348,plain,
    ! [X0] :
      ( ssPv3(skf1(X0))
      | ssPv1(skf1(X0))
      | ssPv1(skf1(X0))
      | ssPv2(X0)
      | ssPv3(X0) ),
    inference(resolution,[],[f339,f74]) ).

fof(f349,plain,
    ! [X0] :
      ( ssPv3(skf1(X0))
      | ssPv1(skf1(X0))
      | ssPv2(X0)
      | ssPv3(X0) ),
    inference(duplicate_literal_removal,[],[f348]) ).

fof(f350,plain,
    ! [X0] :
      ( ssPv3(skf1(X0))
      | ssPv1(skf1(X0))
      | ~ ssPv1(X0)
      | ssPv4(X0) ),
    inference(duplicate_literal_removal,[],[f347]) ).

fof(f394,plain,
    ! [X0] :
      ( ssPv1(skf1(X0))
      | ssPv2(X0)
      | ssPv3(X0)
      | ssPv2(X0)
      | ssPv4(X0) ),
    inference(resolution,[],[f349,f68]) ).

fof(f401,plain,
    ! [X0] :
      ( ssPv1(skf1(X0))
      | ssPv2(X0)
      | ssPv3(X0)
      | ssPv4(X0) ),
    inference(duplicate_literal_removal,[],[f394]) ).

fof(f404,plain,
    ! [X0] :
      ( ssPv1(skf1(X0))
      | ssPv2(X0)
      | ssPv3(X0) ),
    inference(forward_subsumption_resolution,[],[f401,f311]) ).

fof(f407,plain,
    ! [X0] :
      ( ssPv2(X0)
      | ssPv3(X0)
      | ssPv1(X0)
      | ssPv2(X0)
      | ssPv3(X0) ),
    inference(resolution,[],[f404,f55]) ).

fof(f410,plain,
    ! [X0] :
      ( ssPv2(X0)
      | ssPv3(X0)
      | ssPv3(skf1(X0))
      | ssPv3(X0)
      | ssPv4(X0) ),
    inference(resolution,[],[f404,f91]) ).

fof(f421,plain,
    ! [X0] :
      ( ssPv2(X0)
      | ssPv3(X0)
      | ssPv3(skf1(X0))
      | ssPv4(X0) ),
    inference(duplicate_literal_removal,[],[f410]) ).

fof(f423,plain,
    ! [X0] :
      ( ssPv2(X0)
      | ssPv3(X0)
      | ssPv1(X0) ),
    inference(duplicate_literal_removal,[],[f407]) ).

fof(f425,plain,
    ! [X0] :
      ( ssPv3(skf1(X0))
      | ssPv3(X0)
      | ssPv4(X0) ),
    inference(forward_subsumption_resolution,[],[f421,f218]) ).

fof(f426,plain,
    ! [X0] :
      ( ssPv3(X0)
      | ssPv1(X0) ),
    inference(forward_subsumption_resolution,[],[f423,f236]) ).

fof(f431,plain,
    ! [X0] :
      ( ssPv1(skf1(X0))
      | ~ ssPv3(X0)
      | ssPv1(X0) ),
    inference(resolution,[],[f426,f64]) ).

fof(f437,plain,
    ! [X0] :
      ( ssPv1(skf1(X0))
      | ssPv1(X0) ),
    inference(forward_subsumption_resolution,[],[f431,f426]) ).

fof(f453,plain,
    ! [X0] :
      ( ssPv1(X0)
      | ~ ssPv2(X0)
      | ~ ssPv3(X0)
      | ~ ssPv4(X0) ),
    inference(resolution,[],[f437,f62]) ).

fof(f455,plain,
    ! [X0] :
      ( ssPv1(X0)
      | ssPv3(skf1(X0))
      | ssPv1(X0)
      | ssPv2(X0) ),
    inference(resolution,[],[f437,f103]) ).

fof(f461,plain,
    ! [X0] :
      ( ssPv3(skf1(X0))
      | ssPv1(X0)
      | ssPv2(X0) ),
    inference(duplicate_literal_removal,[],[f455]) ).

fof(f464,plain,
    ! [X0] :
      ( ~ ssPv4(X0)
      | ~ ssPv2(X0)
      | ssPv1(X0) ),
    inference(forward_subsumption_resolution,[],[f453,f426]) ).

fof(f474,plain,
    ! [X0] :
      ( ~ ssPv2(skf1(X0))
      | ssPv1(skf1(X0))
      | ~ ssPv1(X0)
      | ssPv1(skf1(X0))
      | ssPv4(X0) ),
    inference(resolution,[],[f464,f79]) ).

fof(f477,plain,
    ! [X0] :
      ( ~ ssPv2(skf1(X0))
      | ssPv1(skf1(X0))
      | ~ ssPv1(X0)
      | ssPv4(X0) ),
    inference(duplicate_literal_removal,[],[f474]) ).

fof(f479,plain,
    ! [X0] :
      ( ~ ssPv2(skf1(X0))
      | ssPv1(skf1(X0))
      | ssPv4(X0) ),
    inference(forward_subsumption_resolution,[],[f477,f437]) ).

fof(f531,plain,
    ! [X0] :
      ( ssPv3(X0)
      | ssPv4(X0)
      | ssPv2(X0)
      | ssPv4(X0) ),
    inference(resolution,[],[f425,f68]) ).

fof(f538,plain,
    ! [X0] :
      ( ssPv3(X0)
      | ssPv4(X0)
      | ssPv2(X0) ),
    inference(duplicate_literal_removal,[],[f531]) ).

fof(f542,plain,
    ! [X0] :
      ( ssPv4(X0)
      | ssPv3(X0) ),
    inference(forward_subsumption_resolution,[],[f538,f218]) ).

fof(f544,plain,
    ! [X0] :
      ( ~ ssPv4(X0)
      | ssPv2(X0)
      | ssPv3(X0)
      | ~ ssPv2(skf1(X0)) ),
    inference(resolution,[],[f330,f1]) ).

fof(f545,plain,
    ! [X0] :
      ( ~ ssPv2(skf1(X0))
      | ssPv3(X0)
      | ssPv2(X0) ),
    inference(forward_subsumption_resolution,[],[f544,f542]) ).

fof(f550,plain,
    ! [X0] :
      ( ssPv3(skf1(X0))
      | ~ ssPv4(X0)
      | ssPv3(skf1(X0))
      | ssPv2(skf1(X0)) ),
    inference(resolution,[],[f542,f281]) ).

fof(f551,plain,
    ! [X0] :
      ( ssPv3(skf1(X0))
      | ~ ssPv4(X0)
      | ssPv3(X0) ),
    inference(resolution,[],[f542,f300]) ).

fof(f557,plain,
    ! [X0] :
      ( ssPv3(skf1(X0))
      | ~ ssPv4(X0)
      | ssPv2(skf1(X0)) ),
    inference(duplicate_literal_removal,[],[f550]) ).

fof(f558,plain,
    ! [X0] :
      ( ssPv3(skf1(X0))
      | ssPv3(X0) ),
    inference(forward_subsumption_resolution,[],[f551,f425]) ).

fof(f572,plain,
    ! [X0,X1] :
      ( ssPv3(X0)
      | ~ ssRr(X0,X1)
      | ~ ssPv4(X1)
      | ~ ssPv4(X0)
      | ssPv3(X0) ),
    inference(resolution,[],[f558,f118]) ).

fof(f573,plain,
    ! [X0] :
      ( ssPv3(X0)
      | ~ ssPv1(X0)
      | ssPv2(skf1(X0))
      | ssPv2(X0) ),
    inference(resolution,[],[f558,f124]) ).

fof(f576,plain,
    ! [X0,X1] :
      ( ssPv3(X0)
      | ~ ssRr(X0,X1)
      | ~ ssPv4(X1)
      | ~ ssPv4(X0) ),
    inference(duplicate_literal_removal,[],[f572]) ).

fof(f578,plain,
    ! [X0] :
      ( ssPv3(X0)
      | ~ ssPv1(X0)
      | ssPv2(X0) ),
    inference(forward_subsumption_resolution,[],[f573,f545]) ).

fof(f579,plain,
    ! [X0,X1] :
      ( ~ ssRr(X0,X1)
      | ssPv3(X0)
      | ~ ssPv4(X1) ),
    inference(forward_subsumption_resolution,[],[f576,f542]) ).

fof(f580,plain,
    ! [X0] :
      ( ssPv3(X0)
      | ssPv2(X0) ),
    inference(forward_subsumption_resolution,[],[f578,f426]) ).

fof(f587,plain,
    ! [X0,X1] :
      ( ssPv1(skf1(X0))
      | ~ ssPv1(X0)
      | ssPv4(X0)
      | ~ ssPv4(X1)
      | ~ ssRr(X0,X1)
      | ssPv2(skf1(X0))
      | ssPv4(X0) ),
    inference(resolution,[],[f350,f243]) ).

fof(f588,plain,
    ! [X0,X1] :
      ( ssPv1(skf1(X0))
      | ~ ssPv1(X0)
      | ssPv4(X0)
      | ~ ssPv4(X1)
      | ~ ssRr(X0,X1)
      | ssPv2(skf1(X0)) ),
    inference(duplicate_literal_removal,[],[f587]) ).

fof(f592,plain,
    ! [X0,X1] :
      ( ssPv1(skf1(X0))
      | ssPv4(X0)
      | ~ ssPv4(X1)
      | ~ ssRr(X0,X1)
      | ssPv2(skf1(X0)) ),
    inference(forward_subsumption_resolution,[],[f588,f437]) ).

fof(f596,plain,
    ! [X0,X1] :
      ( ~ ssRr(X0,X1)
      | ssPv4(X0)
      | ~ ssPv4(X1)
      | ssPv1(skf1(X0)) ),
    inference(forward_subsumption_resolution,[],[f592,f479]) ).

fof(f599,plain,
    ! [X0] :
      ( ssPv2(skf1(X0))
      | ~ ssPv3(X0)
      | ssPv1(X0) ),
    inference(resolution,[],[f580,f64]) ).

fof(f600,plain,
    ! [X0] :
      ( ssPv2(skf1(X0))
      | ssPv2(X0)
      | ssPv4(X0) ),
    inference(resolution,[],[f580,f68]) ).

fof(f607,plain,
    ! [X0] :
      ( ssPv2(skf1(X0))
      | ssPv1(X0) ),
    inference(forward_subsumption_resolution,[],[f599,f426]) ).

fof(f634,plain,
    ! [X0] :
      ( ~ ssPv4(skf1(X0))
      | ssPv4(X0)
      | ssPv1(skf1(X0)) ),
    inference(resolution,[],[f596,f1]) ).

fof(f691,plain,
    ! [X0] :
      ( ssPv4(X0)
      | ssPv1(skf1(X0))
      | ~ ssPv1(X0)
      | ssPv1(skf1(X0))
      | ssPv4(X0) ),
    inference(resolution,[],[f634,f79]) ).

fof(f695,plain,
    ! [X0] :
      ( ssPv4(X0)
      | ssPv1(skf1(X0))
      | ~ ssPv1(X0) ),
    inference(duplicate_literal_removal,[],[f691]) ).

fof(f698,plain,
    ! [X0] :
      ( ssPv1(skf1(X0))
      | ssPv4(X0) ),
    inference(forward_subsumption_resolution,[],[f695,f437]) ).

fof(f707,plain,
    ! [X2,X0,X1] :
      ( ssPv4(X0)
      | ~ ssRr(X0,X1)
      | ~ ssPv2(X1)
      | ~ ssRr(X0,X2)
      | ~ ssPv4(X2)
      | ~ ssPv3(X0) ),
    inference(resolution,[],[f698,f187]) ).

fof(f708,plain,
    ! [X0,X1] :
      ( ssPv4(X0)
      | ~ ssPv3(X1)
      | ~ ssRr(X0,X1)
      | ~ ssPv3(X0)
      | ssPv4(skf1(X0)) ),
    inference(resolution,[],[f698,f280]) ).

fof(f711,plain,
    ! [X0,X1] :
      ( ~ ssRr(X0,X1)
      | ~ ssPv3(X1)
      | ssPv4(X0)
      | ssPv4(skf1(X0)) ),
    inference(forward_subsumption_resolution,[],[f708,f542]) ).

fof(f712,plain,
    ! [X2,X0,X1] :
      ( ~ ssRr(X0,X2)
      | ~ ssRr(X0,X1)
      | ~ ssPv2(X1)
      | ssPv4(X0)
      | ~ ssPv4(X2) ),
    inference(forward_subsumption_resolution,[],[f707,f579]) ).

fof(f746,plain,
    ! [X0] :
      ( ssPv1(X0)
      | ssPv2(X0)
      | ~ ssPv3(X0)
      | ssPv1(X0) ),
    inference(resolution,[],[f461,f64]) ).

fof(f755,plain,
    ! [X0] :
      ( ssPv1(X0)
      | ssPv2(X0)
      | ~ ssPv3(X0) ),
    inference(duplicate_literal_removal,[],[f746]) ).

fof(f757,plain,
    ! [X0] :
      ( ssPv2(X0)
      | ssPv1(X0) ),
    inference(forward_subsumption_resolution,[],[f755,f426]) ).

fof(f783,plain,
    ! [X0] :
      ( ssPv1(skf1(X0))
      | ~ ssPv2(X0)
      | ~ ssPv4(X0)
      | ssPv1(skf1(X0)) ),
    inference(resolution,[],[f757,f155]) ).

fof(f793,plain,
    ! [X0] :
      ( ssPv1(skf1(X0))
      | ~ ssPv2(X0)
      | ~ ssPv4(X0) ),
    inference(duplicate_literal_removal,[],[f783]) ).

fof(f798,plain,
    ! [X0] :
      ( ssPv1(skf1(X0))
      | ~ ssPv2(X0) ),
    inference(forward_subsumption_resolution,[],[f793,f698]) ).

fof(f803,plain,
    ! [X0] :
      ( ~ ssPv2(X0)
      | ~ ssPv2(X0)
      | ~ ssPv3(X0)
      | ~ ssPv4(X0) ),
    inference(resolution,[],[f798,f62]) ).

fof(f812,plain,
    ! [X0] :
      ( ~ ssPv4(X0)
      | ~ ssPv3(X0)
      | ~ ssPv2(X0) ),
    inference(duplicate_literal_removal,[],[f803]) ).

fof(f869,plain,
    ! [X0] :
      ( ~ ssPv4(X0)
      | ssPv2(skf1(X0))
      | ~ ssPv1(X0)
      | ssPv2(skf1(X0))
      | ssPv2(X0) ),
    inference(resolution,[],[f557,f124]) ).

fof(f873,plain,
    ! [X0] :
      ( ~ ssPv4(X0)
      | ssPv2(skf1(X0))
      | ~ ssPv1(X0)
      | ssPv2(X0) ),
    inference(duplicate_literal_removal,[],[f869]) ).

fof(f875,plain,
    ! [X0] :
      ( ssPv2(skf1(X0))
      | ~ ssPv1(X0)
      | ssPv2(X0) ),
    inference(forward_subsumption_resolution,[],[f873,f600]) ).

fof(f876,plain,
    ! [X0] :
      ( ssPv2(skf1(X0))
      | ssPv2(X0) ),
    inference(forward_subsumption_resolution,[],[f875,f607]) ).

fof(f880,plain,
    ! [X0] :
      ( ssPv2(X0)
      | ~ ssPv1(X0)
      | ssPv4(skf1(X0))
      | ssPv2(X0) ),
    inference(resolution,[],[f876,f120]) ).

fof(f890,plain,
    ! [X0] :
      ( ssPv2(X0)
      | ~ ssPv1(X0)
      | ssPv4(skf1(X0)) ),
    inference(duplicate_literal_removal,[],[f880]) ).

fof(f897,plain,
    ! [X0] :
      ( ssPv4(skf1(X0))
      | ssPv2(X0) ),
    inference(forward_subsumption_resolution,[],[f890,f757]) ).

fof(f988,plain,
    ! [X0] :
      ( ~ ssPv3(skf1(X0))
      | ssPv4(X0)
      | ssPv4(skf1(X0)) ),
    inference(resolution,[],[f711,f1]) ).

fof(f989,plain,
    ! [X0] :
      ( ssPv4(skf1(X0))
      | ssPv4(X0) ),
    inference(forward_subsumption_resolution,[],[f988,f542]) ).

fof(f991,plain,
    ! [X0] :
      ( ssPv4(X0)
      | ~ ssPv2(X0)
      | ssPv2(skf1(X0))
      | ssPv4(X0) ),
    inference(resolution,[],[f989,f106]) ).

fof(f1002,plain,
    ! [X0] :
      ( ssPv4(X0)
      | ~ ssPv2(X0)
      | ssPv2(skf1(X0)) ),
    inference(duplicate_literal_removal,[],[f991]) ).

fof(f1003,plain,
    ! [X0] :
      ( ssPv2(skf1(X0))
      | ssPv4(X0) ),
    inference(forward_subsumption_resolution,[],[f1002,f600]) ).

fof(f1041,plain,
    ! [X0,X1] :
      ( ~ ssRr(X0,X1)
      | ~ ssPv2(X1)
      | ssPv4(X0)
      | ~ ssPv4(skf1(X0)) ),
    inference(resolution,[],[f712,f1]) ).

fof(f1042,plain,
    ! [X0,X1] :
      ( ~ ssRr(X0,X1)
      | ~ ssPv2(X1)
      | ssPv4(X0) ),
    inference(forward_subsumption_resolution,[],[f1041,f989]) ).

fof(f1049,plain,
    ! [X0] :
      ( ~ ssPv3(skf1(X0))
      | ~ ssPv2(skf1(X0))
      | ssPv2(X0) ),
    inference(resolution,[],[f812,f897]) ).

fof(f1054,plain,
    ! [X0] :
      ( ~ ssPv3(skf1(X0))
      | ssPv2(X0) ),
    inference(forward_subsumption_resolution,[],[f1049,f876]) ).

fof(f1105,plain,
    ! [X0] :
      ( ~ ssPv4(skf1(X0))
      | ssPv3(X0) ),
    inference(resolution,[],[f579,f1]) ).

fof(f1120,plain,
    ! [X0] :
      ( ~ ssPv2(skf1(X0))
      | ssPv4(X0) ),
    inference(resolution,[],[f1042,f1]) ).

fof(f1121,plain,
    ! [X0] : ssPv4(X0),
    inference(forward_subsumption_resolution,[],[f1120,f1003]) ).

fof(f1124,plain,
    ! [X0] :
      ( ~ ssPv4(X0)
      | ssPv3(X0)
      | ~ ssPv2(X0) ),
    inference(resolution,[],[f1121,f182]) ).

fof(f1131,plain,
    ! [X0] : ssPv3(X0),
    inference(resolution,[],[f1121,f1105]) ).

fof(f1137,plain,
    ! [X0] :
      ( ~ ssPv4(X0)
      | ~ ssPv2(X0) ),
    inference(forward_subsumption_resolution,[],[f1124,f812]) ).

fof(f1139,plain,
    ! [X0] : ~ ssPv2(X0),
    inference(forward_subsumption_resolution,[],[f1137,f1121]) ).

fof(f1169,plain,
    ! [X0] : ssPv2(X0),
    inference(resolution,[],[f1131,f1054]) ).

fof(f1170,plain,
    $false,
    inference(forward_subsumption_resolution,[],[f1169,f1139]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : SYN755-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.17  % Computer : n020.cluster.edu
% 0.10/0.17  % Model    : x86_64 x86_64
% 0.10/0.17  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.17  % Memory   : 8046.5625MB
% 0.10/0.17  % OS       : Linux 6.8.0-71-generic
% 0.10/0.17  % CPULimit : 300
% 0.10/0.17  % WCLimit  : 300
% 0.10/0.17  % DateTime : Mon Sep 28 16:52:34 UTC 2026
% 0.10/0.17  % CPUTime  : 
% 0.10/0.17  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.20  Running first-order theorem proving
% 0.10/0.20  Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.12/1.09  % (304649)Input is clausal, will run a generic CNF schedule.
% 3.12/1.09  % (304656)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=615164016:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.12/1.09  % (304654)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=2739434834:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.12/1.09  % (304658)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1861538929:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.12/1.09  % (304657)lrs+10_1_sil=8000:sp=occurrence:random_seed=1026256163:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.12/1.09  % (304660)dis-21_1_sil=8000:lcm=predicate:random_seed=1722832310:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 3.12/1.09  % (304659)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=592211194:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.12/1.09  % (304655)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3238545815:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.12/1.09  % (304657)First to succeed.
% 3.12/1.09  % (304657)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-304649"
% 3.12/1.09  % (304660)Instruction limit reached! 
% 3.12/1.09  % (304660)------------------------------
% 3.12/1.09  % (304660)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.12/1.09  % (304660)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.12/1.09  % (304660)CaDiCaL version: 2.1.3
% 3.12/1.09  % (304660)Termination reason: Instruction limit
% 3.12/1.09  % (304660)Termination phase: Saturation
% 3.12/1.09  % (304660)Time elapsed: 0.054 s
% 3.12/1.09  % (304660)Peak memory usage: 87 MB
% 3.12/1.09  % (304660)Instructions burned: 117 (million)
% 3.12/1.09  % (304658)Also succeeded, but the first one will report.
% 3.12/1.09  % (304659)Instruction limit reached! 
% 3.12/1.09  % (304659)------------------------------
% 3.12/1.09  % (304659)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.12/1.09  % (304659)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.12/1.09  % (304659)CaDiCaL version: 2.1.3
% 3.12/1.09  % (304659)Termination reason: Instruction limit
% 3.12/1.09  % (304659)Termination phase: Saturation
% 3.12/1.09  % (304659)Time elapsed: 0.098 s
% 3.12/1.09  % (304659)Peak memory usage: 87 MB
% 3.12/1.09  % (304659)Instructions burned: 181 (million)
% 3.12/1.09  % (304668)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=1650175522:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 3.12/1.09  % (304668)Also succeeded, but the first one will report.
% 3.12/1.09  % (304669)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=2054917665:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2997 on theBenchmark for (2997ds/189Mi)
% 3.12/1.09  % (304657)Refutation found. Thanks to Tanya!
% 3.12/1.09  % SZS status Unsatisfiable for theBenchmark
% 3.12/1.09  % SZS output start Proof for theBenchmark
% See solution above
% 3.65/1.19  % (304657)------------------------------
% 3.65/1.19  % (304657)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.65/1.19  % (304657)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.65/1.19  % (304657)CaDiCaL version: 2.1.3
% 3.65/1.19  % (304657)Termination reason: Refutation
% 3.65/1.19  % (304657)Time elapsed: 0.017 s
% 3.65/1.19  % (304657)Peak memory usage: 88 MB
% 3.65/1.19  % (304657)Instructions burned: 29 (million)
% 3.65/1.19  % (304657)------------------------------
% 3.65/1.19  % (304657)------------------------------
% 3.65/1.19  % (304649)Success in time 0.448 s
% 3.65/1.19  % Vampire exiting
%------------------------------------------------------------------------------