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Vampire-SAT---5.0.1.UNS-Ref.s

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

% Computer : n010.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 02:18:14 PM UTC 2026

% Result   : Unsatisfiable 0.20s 0.28s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   58
%            Number of leaves      :   29
% Syntax   : Number of formulae    :  188 (   6 unt;   0 def)
%            Number of atoms       :  816 (   0 equ)
%            Maximal formula atoms :    8 (   4 avg)
%            Number of connectives : 1011 ( 383   ~; 628   |;   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   :  306 ( 306   !;   0   ?)

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

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

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

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

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

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

fof(f7,negated_conjecture,
    ! [X0,X1] :
      ( ~ ssRr(X0,X1)
      | ~ ssPv1(X1)
      | ~ ssPv2(X0)
      | ~ ssPv3(X0)
      | ~ ssPv4(X0) ),
    file('/export/starexec/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',clause11) ).

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

fof(f13,negated_conjecture,
    ! [X2,X0,X1] :
      ( ~ ssRr(X0,X2)
      | ~ ssPv2(X1)
      | ~ ssRr(X0,X1)
      | ssPv1(X2)
      | ssPv2(X0)
      | ssPv4(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause13) ).

fof(f16,negated_conjecture,
    ! [X2,X0,X1] :
      ( ~ ssRr(X0,X2)
      | ~ ssPv1(X1)
      | ~ ssRr(X0,X1)
      | ssPv3(X2)
      | ssPv1(X0)
      | ssPv2(X0) ),
    file('/export/starexec/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',clause22) ).

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

fof(f27,negated_conjecture,
    ! [X2,X0,X1] :
      ( ~ ssRr(X0,X2)
      | ~ ssPv3(X1)
      | ~ ssRr(X0,X1)
      | ~ ssPv3(X0)
      | ssPv4(X2)
      | ssPv1(X0) ),
    file('/export/starexec/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',clause35) ).

fof(f36,negated_conjecture,
    ! [X2,X0,X1] :
      ( ~ ssRr(X0,X1)
      | ~ ssPv4(X1)
      | ~ ssRr(X0,X2)
      | ~ ssPv3(X2)
      | ~ ssPv3(X0)
      | ssPv1(X0) ),
    file('/export/starexec/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',clause42) ).

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/sandbox/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/sandbox/benchmark/theBenchmark.p',clause51) ).

fof(f52,plain,
    ! [X0] :
      ( ~ ssPv1(skf1(X0))
      | ssPv1(X0)
      | ssPv2(X0)
      | ssPv3(X0) ),
    inference(resolution,[],[f2,f1]) ).

fof(f53,plain,
    ! [X0] :
      ( ~ ssPv3(skf1(X0))
      | ~ ssPv2(X0)
      | ssPv3(X0)
      | ssPv4(X0) ),
    inference(resolution,[],[f3,f1]) ).

fof(f54,plain,
    ! [X0] :
      ( ~ ssPv1(skf1(X0))
      | ~ ssPv2(X0)
      | ssPv3(X0)
      | ssPv4(X0) ),
    inference(resolution,[],[f4,f1]) ).

fof(f55,plain,
    ! [X0] :
      ( ~ ssPv4(skf1(X0))
      | ~ ssPv2(X0)
      | ssPv1(X0)
      | ssPv3(X0) ),
    inference(resolution,[],[f5,f1]) ).

fof(f56,plain,
    ! [X0] :
      ( ssPv3(skf1(X0))
      | ~ ssPv2(X0)
      | ~ ssPv4(X0)
      | ~ ssPv1(X0) ),
    inference(resolution,[],[f6,f1]) ).

fof(f59,plain,
    ! [X0] :
      ( ~ ssPv1(skf1(X0))
      | ~ ssPv2(X0)
      | ~ ssPv3(X0)
      | ~ ssPv4(X0) ),
    inference(resolution,[],[f7,f1]) ).

fof(f60,plain,
    ! [X0,X1] :
      ( ~ ssRr(X0,X1)
      | ssPv4(X1)
      | ssPv1(skf1(X0))
      | ssPv2(X0)
      | ssPv3(X0) ),
    inference(resolution,[],[f8,f1]) ).

fof(f61,plain,
    ! [X0] :
      ( ssPv4(skf1(X0))
      | ssPv1(skf1(X0))
      | ssPv2(X0)
      | ssPv3(X0) ),
    inference(resolution,[],[f60,f1]) ).

fof(f62,plain,
    ! [X0,X1] :
      ( ~ ssRr(X0,X1)
      | ~ ssPv1(X0)
      | ssPv4(X1)
      | ssPv1(skf1(X0))
      | ssPv4(X0) ),
    inference(resolution,[],[f9,f1]) ).

fof(f65,plain,
    ! [X0,X1] :
      ( ~ ssRr(X0,X1)
      | ~ ssPv2(X0)
      | ssPv3(X1)
      | ssPv2(skf1(X0))
      | ssPv3(X0) ),
    inference(resolution,[],[f10,f1]) ).

fof(f66,plain,
    ! [X0] :
      ( ssPv4(skf1(X0))
      | ~ ssPv1(X0)
      | ssPv1(skf1(X0))
      | ssPv4(X0) ),
    inference(resolution,[],[f62,f1]) ).

fof(f67,plain,
    ! [X0,X1] :
      ( ~ ssRr(X1,X0)
      | ~ ssPv1(X0)
      | ssPv3(skf1(X1))
      | ssPv3(X1)
      | ssPv4(X1) ),
    inference(resolution,[],[f11,f1]) ).

fof(f70,plain,
    ! [X0] :
      ( ssPv3(skf1(X0))
      | ~ ssPv2(X0)
      | ssPv2(skf1(X0))
      | ssPv3(X0) ),
    inference(resolution,[],[f65,f1]) ).

fof(f71,plain,
    ! [X0,X1] :
      ( ~ ssRr(X1,X0)
      | ~ ssPv2(X0)
      | ssPv1(skf1(X1))
      | ssPv2(X1)
      | ssPv4(X1) ),
    inference(resolution,[],[f13,f1]) ).

fof(f72,plain,
    ! [X0] :
      ( ~ ssPv2(X0)
      | ssPv2(skf1(X0))
      | ssPv3(X0)
      | ~ ssPv2(X0)
      | ssPv3(X0)
      | ssPv4(X0) ),
    inference(resolution,[],[f70,f53]) ).

fof(f73,plain,
    ! [X0] :
      ( ssPv2(skf1(X0))
      | ~ ssPv2(X0)
      | ssPv3(X0)
      | ssPv4(X0) ),
    inference(duplicate_literal_removal,[],[f72]) ).

fof(f76,plain,
    ! [X0] :
      ( ~ ssPv1(skf1(X0))
      | ssPv3(skf1(X0))
      | ssPv3(X0)
      | ssPv4(X0) ),
    inference(resolution,[],[f67,f1]) ).

fof(f77,plain,
    ! [X0,X1] :
      ( ~ ssRr(X1,X0)
      | ~ ssPv1(X0)
      | ssPv3(skf1(X1))
      | ssPv1(X1)
      | ssPv2(X1) ),
    inference(resolution,[],[f16,f1]) ).

fof(f78,plain,
    ! [X0,X1] :
      ( ~ ssRr(X1,X0)
      | ~ ssPv4(X0)
      | ~ ssPv2(X1)
      | ssPv2(skf1(X1))
      | ssPv4(X1) ),
    inference(resolution,[],[f17,f1]) ).

fof(f84,plain,
    ! [X0] :
      ( ~ ssPv2(skf1(X0))
      | ssPv1(skf1(X0))
      | ssPv2(X0)
      | ssPv4(X0) ),
    inference(resolution,[],[f71,f1]) ).

fof(f90,plain,
    ! [X0,X1] :
      ( ~ ssRr(X1,X0)
      | ~ ssPv2(X0)
      | ~ ssPv1(X1)
      | ssPv4(skf1(X1))
      | ssPv2(X1) ),
    inference(resolution,[],[f21,f1]) ).

fof(f91,plain,
    ! [X0,X1] :
      ( ~ ssRr(X1,X0)
      | ~ ssPv3(X0)
      | ~ ssPv1(X1)
      | ssPv2(skf1(X1))
      | ssPv2(X1) ),
    inference(resolution,[],[f22,f1]) ).

fof(f95,plain,
    ! [X2,X0,X1] :
      ( ~ ssRr(X0,X2)
      | ~ ssRr(X0,X1)
      | ~ ssPv3(X2)
      | ssPv2(X0)
      | ssPv4(X0) ),
    inference(forward_subsumption_resolution,[],[f24,f12]) ).

fof(f96,plain,
    ! [X0,X1] :
      ( ~ ssPv3(skf1(X0))
      | ~ ssRr(X0,X1)
      | ssPv2(X0)
      | ssPv4(X0) ),
    inference(resolution,[],[f95,f1]) ).

fof(f101,plain,
    ! [X0] :
      ( ~ ssPv1(skf1(X0))
      | ssPv3(skf1(X0))
      | ssPv1(X0)
      | ssPv2(X0) ),
    inference(resolution,[],[f77,f1]) ).

fof(f103,plain,
    ! [X0,X1] :
      ( ~ ssRr(X1,X0)
      | ~ ssPv3(X0)
      | ~ ssPv2(X1)
      | ssPv4(skf1(X1))
      | ssPv1(X1) ),
    inference(resolution,[],[f28,f1]) ).

fof(f104,plain,
    ! [X0] :
      ( ~ ssPv4(skf1(X0))
      | ~ ssPv2(X0)
      | ssPv2(skf1(X0))
      | ssPv4(X0) ),
    inference(resolution,[],[f78,f1]) ).

fof(f111,plain,
    ! [X0,X1] :
      ( ~ ssRr(X1,X0)
      | ~ ssPv2(X0)
      | ~ ssPv2(X1)
      | ~ ssPv4(X1)
      | ssPv1(skf1(X1)) ),
    inference(resolution,[],[f31,f1]) ).

fof(f113,plain,
    ! [X0,X1] :
      ( ~ ssPv3(skf1(X1))
      | ~ ssRr(X1,X0)
      | ~ ssPv4(X0)
      | ~ ssPv4(X1)
      | ssPv3(X1) ),
    inference(resolution,[],[f33,f1]) ).

fof(f115,plain,
    ! [X0,X1] :
      ( ~ ssPv1(skf1(X1))
      | ~ ssRr(X1,X0)
      | ~ ssPv4(X0)
      | ~ ssPv4(X1)
      | ssPv3(X1) ),
    inference(resolution,[],[f34,f1]) ).

fof(f116,plain,
    ! [X0,X1] :
      ( ~ ssPv1(skf1(X1))
      | ~ ssRr(X1,X0)
      | ~ ssPv2(X0)
      | ~ ssPv4(X1)
      | ssPv2(X1) ),
    inference(resolution,[],[f35,f1]) ).

fof(f117,plain,
    ! [X0] :
      ( ~ ssPv2(skf1(X0))
      | ~ ssPv1(X0)
      | ssPv4(skf1(X0))
      | ssPv2(X0) ),
    inference(resolution,[],[f90,f1]) ).

fof(f118,plain,
    ! [X2,X0,X1] :
      ( ~ ssRr(X0,X2)
      | ~ ssRr(X0,X1)
      | ~ ssPv3(X2)
      | ~ ssPv3(X0)
      | ssPv1(X0) ),
    inference(forward_subsumption_resolution,[],[f36,f27]) ).

fof(f120,plain,
    ! [X0,X1] :
      ( ~ ssPv3(skf1(X0))
      | ~ ssRr(X0,X1)
      | ~ ssPv3(X0)
      | ssPv1(X0) ),
    inference(resolution,[],[f118,f1]) ).

fof(f123,plain,
    ! [X2,X0,X1] :
      ( ~ ssRr(X1,X2)
      | ~ ssPv2(X0)
      | ~ ssRr(X1,X0)
      | ssPv3(X2)
      | ssPv1(skf1(X1))
      | ssPv4(X1) ),
    inference(resolution,[],[f37,f1]) ).

fof(f124,plain,
    ! [X0] :
      ( ~ ssPv3(skf1(X0))
      | ~ ssPv1(X0)
      | ssPv2(skf1(X0))
      | ssPv2(X0) ),
    inference(resolution,[],[f91,f1]) ).

fof(f135,plain,
    ! [X2,X0,X1] :
      ( ~ ssRr(X1,X2)
      | ~ ssPv4(X0)
      | ~ ssRr(X1,X0)
      | ~ ssPv4(X1)
      | ssPv3(X2)
      | ssPv2(skf1(X1)) ),
    inference(resolution,[],[f42,f1]) ).

fof(f141,plain,
    ! [X0] :
      ( ~ ssPv3(skf1(X0))
      | ~ ssPv2(X0)
      | ssPv4(skf1(X0))
      | ssPv1(X0) ),
    inference(resolution,[],[f103,f1]) ).

fof(f143,plain,
    ! [X0] :
      ( ~ ssPv2(X0)
      | ssPv4(skf1(X0))
      | ssPv1(X0)
      | ~ ssPv2(X0)
      | ssPv2(skf1(X0))
      | ssPv3(X0) ),
    inference(resolution,[],[f141,f70]) ).

fof(f146,plain,
    ! [X0] :
      ( ~ ssPv2(X0)
      | ssPv4(skf1(X0))
      | ssPv1(X0)
      | ssPv2(skf1(X0))
      | ssPv3(X0) ),
    inference(duplicate_literal_removal,[],[f143]) ).

fof(f147,plain,
    ! [X0] :
      ( ssPv2(skf1(X0))
      | ssPv1(X0)
      | ~ ssPv2(X0)
      | ssPv3(X0) ),
    inference(forward_subsumption_resolution,[],[f146,f55]) ).

fof(f159,plain,
    ! [X0] :
      ( ~ ssPv2(skf1(X0))
      | ~ ssPv2(X0)
      | ~ ssPv4(X0)
      | ssPv1(skf1(X0)) ),
    inference(resolution,[],[f111,f1]) ).

fof(f165,plain,
    ! [X2,X0,X1] :
      ( ~ ssRr(X1,X2)
      | ~ ssPv3(X0)
      | ~ ssPv1(X2)
      | ~ ssRr(X1,X0)
      | ~ ssPv3(X1)
      | ssPv4(skf1(X1)) ),
    inference(resolution,[],[f50,f1]) ).

fof(f178,plain,
    ! [X2,X0,X1] :
      ( ~ ssPv1(skf1(X1))
      | ~ ssRr(X1,X2)
      | ~ ssPv2(X2)
      | ~ ssRr(X1,X0)
      | ~ ssPv4(X0)
      | ~ ssPv3(X1) ),
    inference(resolution,[],[f51,f1]) ).

fof(f180,plain,
    ! [X0,X1] :
      ( ~ ssRr(X0,X1)
      | ~ ssPv4(X1)
      | ~ ssPv4(X0)
      | ssPv3(X0)
      | ~ ssPv2(X0)
      | ~ ssPv4(X0)
      | ~ ssPv1(X0) ),
    inference(resolution,[],[f113,f56]) ).

fof(f181,plain,
    ! [X0,X1] :
      ( ~ ssRr(X0,X1)
      | ~ ssPv4(X1)
      | ~ ssPv4(X0)
      | ssPv3(X0)
      | ~ ssPv2(X0)
      | ~ ssPv1(X0) ),
    inference(duplicate_literal_removal,[],[f180]) ).

fof(f183,plain,
    ! [X0,X1] :
      ( ~ ssRr(X0,X1)
      | ~ ssPv4(X1)
      | ~ ssPv4(X0)
      | ssPv3(X0)
      | ~ ssPv2(X0) ),
    inference(forward_subsumption_resolution,[],[f181,f5]) ).

fof(f187,plain,
    ! [X0] :
      ( ~ ssPv4(skf1(X0))
      | ~ ssPv4(X0)
      | ssPv3(X0)
      | ~ ssPv2(X0) ),
    inference(resolution,[],[f183,f1]) ).

fof(f193,plain,
    ! [X0,X1] :
      ( ~ ssRr(X1,X0)
      | ~ ssPv2(X0)
      | ssPv3(skf1(X1))
      | ssPv1(skf1(X1))
      | ssPv4(X1) ),
    inference(resolution,[],[f123,f1]) ).

fof(f210,plain,
    ! [X0] :
      ( ~ ssPv2(skf1(X0))
      | ssPv3(skf1(X0))
      | ssPv1(skf1(X0))
      | ssPv4(X0) ),
    inference(resolution,[],[f193,f1]) ).

fof(f211,plain,
    ! [X0,X1] :
      ( ~ ssRr(X1,X0)
      | ~ ssPv4(X0)
      | ~ ssPv4(X1)
      | ssPv3(skf1(X1))
      | ssPv2(skf1(X1)) ),
    inference(resolution,[],[f135,f1]) ).

fof(f214,plain,
    ! [X0] :
      ( ssPv3(skf1(X0))
      | ssPv1(skf1(X0))
      | ssPv4(X0)
      | ~ ssPv2(X0)
      | ssPv3(X0)
      | ssPv4(X0) ),
    inference(resolution,[],[f210,f73]) ).

fof(f215,plain,
    ! [X0] :
      ( ssPv3(skf1(X0))
      | ssPv1(skf1(X0))
      | ssPv4(X0)
      | ~ ssPv2(X0)
      | ssPv3(X0) ),
    inference(duplicate_literal_removal,[],[f214]) ).

fof(f217,plain,
    ! [X0] :
      ( ssPv1(skf1(X0))
      | ssPv4(X0)
      | ~ ssPv2(X0)
      | ssPv3(X0) ),
    inference(forward_subsumption_resolution,[],[f215,f53]) ).

fof(f220,plain,
    ! [X0] :
      ( ~ ssPv2(X0)
      | ssPv4(X0)
      | ssPv3(X0) ),
    inference(forward_subsumption_resolution,[],[f217,f54]) ).

fof(f223,plain,
    ! [X0] :
      ( ssPv4(skf1(X0))
      | ssPv3(skf1(X0))
      | ssPv1(X0)
      | ~ ssPv2(X0)
      | ssPv3(X0) ),
    inference(resolution,[],[f220,f147]) ).

fof(f225,plain,
    ! [X0] :
      ( ssPv3(skf1(X0))
      | ssPv1(X0)
      | ~ ssPv2(X0)
      | ssPv3(X0) ),
    inference(forward_subsumption_resolution,[],[f223,f55]) ).

fof(f235,plain,
    ! [X0] :
      ( ssPv1(X0)
      | ~ ssPv2(X0)
      | ssPv3(X0)
      | ~ ssPv2(X0)
      | ssPv4(skf1(X0))
      | ssPv1(X0) ),
    inference(resolution,[],[f225,f141]) ).

fof(f236,plain,
    ! [X0] :
      ( ssPv1(X0)
      | ~ ssPv2(X0)
      | ssPv3(X0)
      | ssPv4(skf1(X0)) ),
    inference(duplicate_literal_removal,[],[f235]) ).

fof(f241,plain,
    ! [X0] :
      ( ~ ssPv2(X0)
      | ssPv1(X0)
      | ssPv3(X0) ),
    inference(forward_subsumption_resolution,[],[f236,f55]) ).

fof(f267,plain,
    ! [X0,X1] :
      ( ~ ssPv1(skf1(X1))
      | ~ ssPv3(X0)
      | ~ ssRr(X1,X0)
      | ~ ssPv3(X1)
      | ssPv4(skf1(X1)) ),
    inference(resolution,[],[f165,f1]) ).

fof(f270,plain,
    ! [X0] :
      ( ~ ssPv4(skf1(X0))
      | ~ ssPv4(X0)
      | ssPv3(skf1(X0))
      | ssPv2(skf1(X0)) ),
    inference(resolution,[],[f211,f1]) ).

fof(f273,plain,
    ! [X0] :
      ( ~ ssPv4(X0)
      | ssPv3(skf1(X0))
      | ssPv2(skf1(X0))
      | ssPv1(skf1(X0))
      | ssPv2(X0)
      | ssPv3(X0) ),
    inference(resolution,[],[f270,f61]) ).

fof(f274,plain,
    ! [X0] :
      ( ~ ssPv4(X0)
      | ssPv3(skf1(X0))
      | ssPv2(skf1(X0))
      | ssPv1(skf1(X0))
      | ssPv3(X0) ),
    inference(forward_subsumption_resolution,[],[f273,f70]) ).

fof(f275,plain,
    ! [X0] :
      ( ssPv3(skf1(X0))
      | ~ ssPv4(X0)
      | ssPv1(skf1(X0))
      | ssPv3(X0) ),
    inference(forward_subsumption_resolution,[],[f274,f241]) ).

fof(f280,plain,
    ! [X0,X1] :
      ( ~ ssPv4(X0)
      | ssPv1(skf1(X0))
      | ssPv3(X0)
      | ~ ssRr(X0,X1)
      | ~ ssPv4(X1)
      | ~ ssPv4(X0)
      | ssPv3(X0) ),
    inference(resolution,[],[f275,f113]) ).

fof(f285,plain,
    ! [X0,X1] :
      ( ~ ssPv4(X0)
      | ssPv1(skf1(X0))
      | ssPv3(X0)
      | ~ ssRr(X0,X1)
      | ~ ssPv4(X1) ),
    inference(duplicate_literal_removal,[],[f280]) ).

fof(f287,plain,
    ! [X0,X1] :
      ( ~ ssRr(X0,X1)
      | ssPv3(X0)
      | ~ ssPv4(X0)
      | ~ ssPv4(X1) ),
    inference(forward_subsumption_resolution,[],[f285,f115]) ).

fof(f294,plain,
    ! [X0] :
      ( ~ ssPv4(skf1(X0))
      | ~ ssPv4(X0)
      | ssPv3(X0) ),
    inference(resolution,[],[f287,f1]) ).

fof(f303,plain,
    ! [X0] :
      ( ~ ssPv4(X0)
      | ssPv3(X0)
      | ssPv1(skf1(X0))
      | ssPv2(X0)
      | ssPv3(X0) ),
    inference(resolution,[],[f294,f61]) ).

fof(f304,plain,
    ! [X0] :
      ( ssPv1(skf1(X0))
      | ssPv3(X0)
      | ~ ssPv4(X0)
      | ssPv2(X0) ),
    inference(duplicate_literal_removal,[],[f303]) ).

fof(f311,plain,
    ! [X0] :
      ( ssPv3(X0)
      | ~ ssPv4(X0)
      | ssPv2(X0)
      | ssPv1(X0)
      | ssPv2(X0)
      | ssPv3(X0) ),
    inference(resolution,[],[f304,f52]) ).

fof(f318,plain,
    ! [X0,X1] :
      ( ssPv3(X0)
      | ~ ssPv4(X0)
      | ssPv2(X0)
      | ~ ssRr(X0,X1)
      | ~ ssPv2(X1)
      | ~ ssPv4(X0)
      | ssPv2(X0) ),
    inference(resolution,[],[f304,f116]) ).

fof(f320,plain,
    ! [X0,X1] :
      ( ~ ssRr(X0,X1)
      | ~ ssPv4(X0)
      | ssPv2(X0)
      | ssPv3(X0)
      | ~ ssPv2(X1) ),
    inference(duplicate_literal_removal,[],[f318]) ).

fof(f327,plain,
    ! [X0] :
      ( ssPv3(X0)
      | ~ ssPv4(X0)
      | ssPv2(X0)
      | ssPv1(X0) ),
    inference(duplicate_literal_removal,[],[f311]) ).

fof(f329,plain,
    ! [X0] :
      ( ~ ssPv4(X0)
      | ssPv3(X0)
      | ssPv1(X0) ),
    inference(forward_subsumption_resolution,[],[f327,f241]) ).

fof(f338,plain,
    ! [X0] :
      ( ssPv3(skf1(X0))
      | ssPv1(skf1(X0))
      | ~ ssPv1(X0)
      | ssPv1(skf1(X0))
      | ssPv4(X0) ),
    inference(resolution,[],[f329,f66]) ).

fof(f339,plain,
    ! [X0] :
      ( ssPv3(skf1(X0))
      | ssPv1(skf1(X0))
      | ssPv1(skf1(X0))
      | ssPv2(X0)
      | ssPv3(X0) ),
    inference(resolution,[],[f329,f61]) ).

fof(f340,plain,
    ! [X0] :
      ( ssPv3(skf1(X0))
      | ssPv1(skf1(X0))
      | ssPv2(X0)
      | ssPv3(X0) ),
    inference(duplicate_literal_removal,[],[f339]) ).

fof(f341,plain,
    ! [X0] :
      ( ssPv3(skf1(X0))
      | ssPv1(skf1(X0))
      | ~ ssPv1(X0)
      | ssPv4(X0) ),
    inference(duplicate_literal_removal,[],[f338]) ).

fof(f347,plain,
    ! [X0,X1] :
      ( ssPv1(skf1(X0))
      | ssPv2(X0)
      | ssPv3(X0)
      | ~ ssRr(X0,X1)
      | ssPv2(X0)
      | ssPv4(X0) ),
    inference(resolution,[],[f340,f96]) ).

fof(f356,plain,
    ! [X0,X1] :
      ( ssPv1(skf1(X0))
      | ssPv2(X0)
      | ssPv3(X0)
      | ~ ssRr(X0,X1)
      | ssPv4(X0) ),
    inference(duplicate_literal_removal,[],[f347]) ).

fof(f360,plain,
    ! [X0,X1] :
      ( ~ ssRr(X0,X1)
      | ssPv2(X0)
      | ssPv3(X0)
      | ssPv1(skf1(X0)) ),
    inference(forward_subsumption_resolution,[],[f356,f304]) ).

fof(f374,plain,
    ! [X0] :
      ( ssPv1(skf1(X0))
      | ~ ssPv1(X0)
      | ssPv4(X0)
      | ~ ssPv1(X0)
      | ssPv2(skf1(X0))
      | ssPv2(X0) ),
    inference(resolution,[],[f341,f124]) ).

fof(f379,plain,
    ! [X0] :
      ( ssPv1(skf1(X0))
      | ~ ssPv1(X0)
      | ssPv4(X0)
      | ssPv2(skf1(X0))
      | ssPv2(X0) ),
    inference(duplicate_literal_removal,[],[f374]) ).

fof(f384,plain,
    ! [X0] :
      ( ssPv1(skf1(X0))
      | ~ ssPv1(X0)
      | ssPv4(X0)
      | ssPv2(X0) ),
    inference(forward_subsumption_resolution,[],[f379,f84]) ).

fof(f409,plain,
    ! [X2,X0,X1] :
      ( ~ ssPv1(X0)
      | ssPv4(X0)
      | ssPv2(X0)
      | ~ ssRr(X0,X1)
      | ~ ssPv2(X1)
      | ~ ssRr(X0,X2)
      | ~ ssPv4(X2)
      | ~ ssPv3(X0) ),
    inference(resolution,[],[f384,f178]) ).

fof(f417,plain,
    ! [X2,X0,X1] :
      ( ~ ssPv1(X0)
      | ssPv4(X0)
      | ssPv2(X0)
      | ~ ssRr(X0,X1)
      | ~ ssPv2(X1)
      | ~ ssRr(X0,X2)
      | ~ ssPv3(X0) ),
    inference(forward_subsumption_resolution,[],[f409,f21]) ).

fof(f457,plain,
    ! [X0] :
      ( ~ ssPv2(skf1(X0))
      | ssPv2(X0)
      | ssPv3(X0)
      | ~ ssPv4(X0) ),
    inference(resolution,[],[f320,f1]) ).

fof(f501,plain,
    ! [X0] :
      ( ssPv1(skf1(X0))
      | ssPv3(X0)
      | ssPv2(X0) ),
    inference(resolution,[],[f360,f1]) ).

fof(f502,plain,
    ! [X0] :
      ( ssPv3(X0)
      | ssPv2(X0)
      | ssPv1(X0)
      | ssPv2(X0)
      | ssPv3(X0) ),
    inference(resolution,[],[f501,f52]) ).

fof(f505,plain,
    ! [X0] :
      ( ssPv3(X0)
      | ssPv2(X0)
      | ssPv3(skf1(X0))
      | ssPv3(X0)
      | ssPv4(X0) ),
    inference(resolution,[],[f501,f76]) ).

fof(f516,plain,
    ! [X0] :
      ( ssPv3(X0)
      | ssPv2(X0)
      | ssPv3(skf1(X0))
      | ssPv4(X0) ),
    inference(duplicate_literal_removal,[],[f505]) ).

fof(f518,plain,
    ! [X0] :
      ( ssPv3(X0)
      | ssPv2(X0)
      | ssPv1(X0) ),
    inference(duplicate_literal_removal,[],[f502]) ).

fof(f520,plain,
    ! [X0] :
      ( ssPv3(skf1(X0))
      | ssPv3(X0)
      | ssPv4(X0) ),
    inference(forward_subsumption_resolution,[],[f516,f220]) ).

fof(f521,plain,
    ! [X0] :
      ( ssPv3(X0)
      | ssPv1(X0) ),
    inference(forward_subsumption_resolution,[],[f518,f241]) ).

fof(f526,plain,
    ! [X0,X1] :
      ( ssPv1(skf1(X0))
      | ~ ssRr(X0,X1)
      | ~ ssPv3(X0)
      | ssPv1(X0) ),
    inference(resolution,[],[f521,f120]) ).

fof(f533,plain,
    ! [X0,X1] :
      ( ~ ssRr(X0,X1)
      | ssPv1(skf1(X0))
      | ssPv1(X0) ),
    inference(forward_subsumption_resolution,[],[f526,f521]) ).

fof(f537,plain,
    ! [X0,X1] :
      ( ssPv3(X0)
      | ssPv4(X0)
      | ~ ssRr(X0,X1)
      | ssPv2(X0)
      | ssPv4(X0) ),
    inference(resolution,[],[f520,f96]) ).

fof(f548,plain,
    ! [X0,X1] :
      ( ssPv3(X0)
      | ssPv4(X0)
      | ~ ssRr(X0,X1)
      | ssPv2(X0) ),
    inference(duplicate_literal_removal,[],[f537]) ).

fof(f552,plain,
    ! [X0,X1] :
      ( ~ ssRr(X0,X1)
      | ssPv4(X0)
      | ssPv3(X0) ),
    inference(forward_subsumption_resolution,[],[f548,f220]) ).

fof(f590,plain,
    ! [X0] :
      ( ssPv4(X0)
      | ssPv3(X0) ),
    inference(resolution,[],[f552,f1]) ).

fof(f591,plain,
    ! [X2,X0,X1] :
      ( ~ ssRr(X0,X2)
      | ssPv4(X0)
      | ssPv2(X0)
      | ~ ssRr(X0,X1)
      | ~ ssPv2(X1)
      | ~ ssPv1(X0) ),
    inference(forward_subsumption_resolution,[],[f417,f552]) ).

fof(f597,plain,
    ! [X0] :
      ( ssPv3(skf1(X0))
      | ~ ssPv4(X0)
      | ssPv3(X0) ),
    inference(resolution,[],[f590,f294]) ).

fof(f603,plain,
    ! [X0] :
      ( ssPv3(skf1(X0))
      | ssPv3(X0) ),
    inference(forward_subsumption_resolution,[],[f597,f520]) ).

fof(f604,plain,
    ! [X0,X1] :
      ( ~ ssRr(X0,X1)
      | ssPv2(X0)
      | ssPv4(X0)
      | ~ ssPv2(X1)
      | ~ ssPv1(X0) ),
    inference(resolution,[],[f591,f1]) ).

fof(f610,plain,
    ! [X0] :
      ( ssPv3(X0)
      | ~ ssPv1(X0)
      | ssPv2(skf1(X0))
      | ssPv2(X0) ),
    inference(resolution,[],[f603,f124]) ).

fof(f618,plain,
    ! [X0] :
      ( ssPv2(skf1(X0))
      | ssPv3(X0)
      | ssPv2(X0) ),
    inference(forward_subsumption_resolution,[],[f610,f521]) ).

fof(f629,plain,
    ! [X0] :
      ( ssPv3(X0)
      | ssPv2(X0)
      | ssPv2(X0)
      | ssPv3(X0)
      | ~ ssPv4(X0) ),
    inference(resolution,[],[f618,f457]) ).

fof(f632,plain,
    ! [X0] :
      ( ssPv3(X0)
      | ssPv2(X0)
      | ~ ssPv4(X0) ),
    inference(duplicate_literal_removal,[],[f629]) ).

fof(f637,plain,
    ! [X0] :
      ( ssPv3(X0)
      | ssPv2(X0) ),
    inference(forward_subsumption_resolution,[],[f632,f590]) ).

fof(f644,plain,
    ! [X0] :
      ( ~ ssPv2(skf1(X0))
      | ssPv4(X0)
      | ssPv2(X0)
      | ~ ssPv1(X0) ),
    inference(resolution,[],[f604,f1]) ).

fof(f650,plain,
    ! [X0] :
      ( ssPv2(skf1(X0))
      | ~ ssPv1(X0)
      | ssPv2(skf1(X0))
      | ssPv2(X0) ),
    inference(resolution,[],[f637,f124]) ).

fof(f656,plain,
    ! [X0] :
      ( ssPv2(skf1(X0))
      | ~ ssPv1(X0)
      | ssPv2(X0) ),
    inference(duplicate_literal_removal,[],[f650]) ).

fof(f686,plain,
    ! [X0] :
      ( ssPv1(skf1(X0))
      | ssPv1(X0) ),
    inference(resolution,[],[f533,f1]) ).

fof(f689,plain,
    ! [X0] :
      ( ssPv1(X0)
      | ~ ssPv2(X0)
      | ~ ssPv3(X0)
      | ~ ssPv4(X0) ),
    inference(resolution,[],[f686,f59]) ).

fof(f691,plain,
    ! [X0] :
      ( ssPv1(X0)
      | ssPv3(skf1(X0))
      | ssPv1(X0)
      | ssPv2(X0) ),
    inference(resolution,[],[f686,f101]) ).

fof(f697,plain,
    ! [X0] :
      ( ssPv3(skf1(X0))
      | ssPv1(X0)
      | ssPv2(X0) ),
    inference(duplicate_literal_removal,[],[f691]) ).

fof(f700,plain,
    ! [X0] :
      ( ~ ssPv4(X0)
      | ~ ssPv2(X0)
      | ssPv1(X0) ),
    inference(forward_subsumption_resolution,[],[f689,f521]) ).

fof(f703,plain,
    ! [X0] :
      ( ~ ssPv2(skf1(X0))
      | ssPv1(skf1(X0))
      | ~ ssPv1(X0)
      | ssPv1(skf1(X0))
      | ssPv4(X0) ),
    inference(resolution,[],[f700,f66]) ).

fof(f707,plain,
    ! [X0] :
      ( ~ ssPv2(skf1(X0))
      | ssPv1(skf1(X0))
      | ~ ssPv1(X0)
      | ssPv4(X0) ),
    inference(duplicate_literal_removal,[],[f703]) ).

fof(f709,plain,
    ! [X0] :
      ( ~ ssPv2(skf1(X0))
      | ssPv1(skf1(X0))
      | ssPv4(X0) ),
    inference(forward_subsumption_resolution,[],[f707,f686]) ).

fof(f726,plain,
    ! [X0,X1] :
      ( ssPv1(X0)
      | ssPv2(X0)
      | ~ ssRr(X0,X1)
      | ~ ssPv3(X0)
      | ssPv1(X0) ),
    inference(resolution,[],[f697,f120]) ).

fof(f735,plain,
    ! [X0,X1] :
      ( ssPv1(X0)
      | ssPv2(X0)
      | ~ ssRr(X0,X1)
      | ~ ssPv3(X0) ),
    inference(duplicate_literal_removal,[],[f726]) ).

fof(f740,plain,
    ! [X0,X1] :
      ( ~ ssRr(X0,X1)
      | ssPv2(X0)
      | ssPv1(X0) ),
    inference(forward_subsumption_resolution,[],[f735,f521]) ).

fof(f769,plain,
    ! [X0] :
      ( ssPv2(X0)
      | ssPv1(X0) ),
    inference(resolution,[],[f740,f1]) ).

fof(f775,plain,
    ! [X0] :
      ( ssPv1(skf1(X0))
      | ~ ssPv2(X0)
      | ~ ssPv4(X0)
      | ssPv1(skf1(X0)) ),
    inference(resolution,[],[f769,f159]) ).

fof(f786,plain,
    ! [X0] :
      ( ssPv1(skf1(X0))
      | ~ ssPv2(X0)
      | ~ ssPv4(X0) ),
    inference(duplicate_literal_removal,[],[f775]) ).

fof(f810,plain,
    ! [X0] :
      ( ssPv2(skf1(X0))
      | ssPv2(X0) ),
    inference(forward_subsumption_resolution,[],[f656,f769]) ).

fof(f814,plain,
    ! [X0] :
      ( ssPv2(X0)
      | ~ ssPv1(X0)
      | ssPv4(skf1(X0))
      | ssPv2(X0) ),
    inference(resolution,[],[f810,f117]) ).

fof(f821,plain,
    ! [X0] :
      ( ssPv2(X0)
      | ssPv4(X0)
      | ssPv2(X0)
      | ~ ssPv1(X0) ),
    inference(resolution,[],[f810,f644]) ).

fof(f824,plain,
    ! [X0] :
      ( ssPv2(X0)
      | ssPv4(X0)
      | ~ ssPv1(X0) ),
    inference(duplicate_literal_removal,[],[f821]) ).

fof(f826,plain,
    ! [X0] :
      ( ssPv2(X0)
      | ~ ssPv1(X0)
      | ssPv4(skf1(X0)) ),
    inference(duplicate_literal_removal,[],[f814]) ).

fof(f829,plain,
    ! [X0] :
      ( ssPv4(X0)
      | ssPv2(X0) ),
    inference(forward_subsumption_resolution,[],[f824,f769]) ).

fof(f833,plain,
    ! [X0] :
      ( ssPv4(skf1(X0))
      | ssPv2(X0) ),
    inference(forward_subsumption_resolution,[],[f826,f769]) ).

fof(f836,plain,
    ! [X0] :
      ( ssPv2(skf1(X0))
      | ~ ssPv2(X0)
      | ssPv2(skf1(X0))
      | ssPv4(X0) ),
    inference(resolution,[],[f829,f104]) ).

fof(f847,plain,
    ! [X0] :
      ( ssPv2(skf1(X0))
      | ~ ssPv2(X0)
      | ssPv4(X0) ),
    inference(duplicate_literal_removal,[],[f836]) ).

fof(f852,plain,
    ! [X0] :
      ( ssPv2(skf1(X0))
      | ssPv4(X0) ),
    inference(forward_subsumption_resolution,[],[f847,f810]) ).

fof(f863,plain,
    ! [X0] :
      ( ssPv2(X0)
      | ~ ssPv2(skf1(X0))
      | ssPv1(skf1(X0)) ),
    inference(resolution,[],[f833,f700]) ).

fof(f865,plain,
    ! [X0] :
      ( ssPv1(skf1(X0))
      | ssPv2(X0) ),
    inference(forward_subsumption_resolution,[],[f863,f769]) ).

fof(f954,plain,
    ! [X0] :
      ( ssPv1(skf1(X0))
      | ssPv4(X0) ),
    inference(forward_subsumption_resolution,[],[f709,f769]) ).

fof(f963,plain,
    ! [X2,X0,X1] :
      ( ssPv4(X0)
      | ~ ssRr(X0,X1)
      | ~ ssPv2(X1)
      | ~ ssRr(X0,X2)
      | ~ ssPv4(X2)
      | ~ ssPv3(X0) ),
    inference(resolution,[],[f954,f178]) ).

fof(f964,plain,
    ! [X0,X1] :
      ( ssPv4(X0)
      | ~ ssPv3(X1)
      | ~ ssRr(X0,X1)
      | ~ ssPv3(X0)
      | ssPv4(skf1(X0)) ),
    inference(resolution,[],[f954,f267]) ).

fof(f967,plain,
    ! [X0,X1] :
      ( ~ ssRr(X0,X1)
      | ~ ssPv3(X1)
      | ssPv4(X0)
      | ssPv4(skf1(X0)) ),
    inference(forward_subsumption_resolution,[],[f964,f552]) ).

fof(f968,plain,
    ! [X2,X0,X1] :
      ( ~ ssRr(X0,X2)
      | ~ ssRr(X0,X1)
      | ~ ssPv2(X1)
      | ssPv4(X0)
      | ~ ssPv4(X2) ),
    inference(forward_subsumption_resolution,[],[f963,f552]) ).

fof(f969,plain,
    ! [X0] :
      ( ssPv1(skf1(X0))
      | ~ ssPv4(X0) ),
    inference(forward_subsumption_resolution,[],[f786,f865]) ).

fof(f970,plain,
    ! [X0] : ssPv1(skf1(X0)),
    inference(forward_subsumption_resolution,[],[f969,f954]) ).

fof(f973,plain,
    ! [X0] :
      ( ~ ssPv4(X0)
      | ~ ssPv3(X0)
      | ~ ssPv2(X0) ),
    inference(resolution,[],[f970,f59]) ).

fof(f1022,plain,
    ! [X0] :
      ( ~ ssPv3(skf1(X0))
      | ssPv4(X0)
      | ssPv4(skf1(X0)) ),
    inference(resolution,[],[f967,f1]) ).

fof(f1023,plain,
    ! [X0] :
      ( ssPv4(skf1(X0))
      | ssPv4(X0) ),
    inference(forward_subsumption_resolution,[],[f1022,f590]) ).

fof(f1084,plain,
    ! [X0,X1] :
      ( ~ ssRr(X0,X1)
      | ~ ssPv2(X1)
      | ssPv4(X0)
      | ~ ssPv4(skf1(X0)) ),
    inference(resolution,[],[f968,f1]) ).

fof(f1085,plain,
    ! [X0,X1] :
      ( ~ ssRr(X0,X1)
      | ~ ssPv2(X1)
      | ssPv4(X0) ),
    inference(forward_subsumption_resolution,[],[f1084,f1023]) ).

fof(f1087,plain,
    ! [X0] :
      ( ~ ssPv2(skf1(X0))
      | ssPv4(X0) ),
    inference(resolution,[],[f1085,f1]) ).

fof(f1088,plain,
    ! [X0] : ssPv4(X0),
    inference(forward_subsumption_resolution,[],[f1087,f852]) ).

fof(f1091,plain,
    ! [X0] :
      ( ~ ssPv4(X0)
      | ssPv3(X0)
      | ~ ssPv2(X0) ),
    inference(resolution,[],[f1088,f187]) ).

fof(f1104,plain,
    ! [X0] :
      ( ~ ssPv4(X0)
      | ~ ssPv2(X0) ),
    inference(forward_subsumption_resolution,[],[f1091,f973]) ).

fof(f1107,plain,
    ! [X0] : ~ ssPv2(X0),
    inference(forward_subsumption_resolution,[],[f1104,f1088]) ).

fof(f1139,plain,
    ! [X0] : ssPv2(X0),
    inference(resolution,[],[f1107,f810]) ).

fof(f1143,plain,
    $false,
    inference(forward_subsumption_resolution,[],[f1139,f1107]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SYN755-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.19  % Computer : n010.cluster.edu
% 0.09/0.19  % Model    : x86_64 x86_64
% 0.09/0.19  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19  % Memory   : 8046.5625MB
% 0.09/0.19  % OS       : Linux 6.8.0-71-generic
% 0.09/0.19  % CPULimit : 300
% 0.09/0.19  % WCLimit  : 300
% 0.09/0.19  % DateTime : Mon Sep 28 16:52:03 UTC 2026
% 0.09/0.19  % CPUTime  : 
% 0.09/0.19  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.22  Running first-order model finding
% 0.09/0.22  Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.28  % (2067680)Will run a generic schedule for satisfiability detection.
% 0.20/0.28  % (2067691)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=603601077:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.20/0.28  % (2067686)% WARNING: option uhcvi not known.
% 0.20/0.28  % (2067685)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=93481388_2999 on theBenchmark for (2999ds/0Mi)
% 0.20/0.28  % (2067687)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1285994096:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.20/0.28  % (2067686)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3841962484:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.20/0.28  % (2067688)dis+10_1_sil=32000:sp=arity:random_seed=2700794978:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.20/0.28  % (2067689)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=881070115:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.20/0.28  % (2067690)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2949474953:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.20/0.28  % TRYING [1]
% 0.20/0.28  % TRYING [2]
% 0.20/0.28  % TRYING [3]
% 0.20/0.28  % TRYING [4]
% 0.20/0.28  % TRYING [5]
% 0.20/0.28  % (2067688) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2067680-2067688"...
% 0.20/0.28  % TRYING [6]
% 0.20/0.28  % (2067688)...printing done.
% 0.20/0.28  % (2067688)Refutation found. Thanks to Tanya!
% 0.20/0.28  % SZS status Unsatisfiable for theBenchmark
% 0.20/0.28  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.28  % (2067688)------------------------------
% 0.20/0.28  % (2067688)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.28  % (2067688)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.28  % (2067688)CaDiCaL version: 2.1.3
% 0.20/0.28  % (2067688)Termination reason: Refutation
% 0.20/0.28  % (2067688)Time elapsed: 0.020 s
% 0.20/0.28  % (2067688)Peak memory usage: 11 MB
% 0.20/0.28  % (2067688)Instructions burned: 35 (million)
% 0.20/0.28  % (2067680)Success in time 0.053 s
% 0.20/0.28  % Vampire exiting
%------------------------------------------------------------------------------