↑ Up

Vampire-SAT---5.0.1.THM-Ref.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : SWC112+1 : TPTP v9.3.1. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT

% Computer : n001.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 01:04:43 PM UTC 2026

% Result   : Theorem 0.17s 0.51s
% Output   : Refutation 0.17s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   18
%            Number of leaves      :   14
% Syntax   : Number of formulae    :  108 (  22 unt;   8 def)
%            Number of atoms       :  395 (  91 equ)
%            Maximal formula atoms :   31 (   3 avg)
%            Number of connectives :  480 ( 193   ~; 187   |;  66   &)
%                                         (  14 <=>;  20  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   28 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   16 (  14 usr;   9 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   7 con; 0-2 aty)
%            Number of variables   :  101 (   0 sgn  69   !;  32   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f7,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ( segmentP(X0,X1)
          <=> ? [X2] :
                ( ssList(X2)
                & ? [X3] :
                    ( ssList(X3)
                    & app(app(X2,X1),X3) = X0 ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax7) ).

fof(f15,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ( neq(X0,X1)
          <=> X0 != X1 ) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax15) ).

fof(f17,axiom,
    ssList(nil),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax17) ).

fof(f26,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ssList(app(X0,X1)) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax26) ).

fof(f83,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ( nil = app(X0,X1)
          <=> ( nil = X1
              & nil = X0 ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax83) ).

fof(f96,conjecture,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ! [X2] :
              ( ssList(X2)
             => ! [X3] :
                  ( ssList(X3)
                 => ( X1 != X3
                    | X0 != X2
                    | ! [X4] :
                        ( ssList(X4)
                       => ! [X5] :
                            ( ssList(X5)
                           => ( app(app(X4,X2),X5) != X3
                              | ~ strictorderedP(X2)
                              | ? [X6] :
                                  ( ssItem(X6)
                                  & ? [X7] :
                                      ( ssList(X7)
                                      & app(X7,cons(X6,nil)) = X4
                                      & ? [X8] :
                                          ( ssItem(X8)
                                          & ? [X9] :
                                              ( ssList(X9)
                                              & app(cons(X8,nil),X9) = X2
                                              & lt(X6,X8) ) ) ) )
                              | ? [X10] :
                                  ( ssItem(X10)
                                  & ? [X11] :
                                      ( ssList(X11)
                                      & app(cons(X10,nil),X11) = X5
                                      & ? [X12] :
                                          ( ssItem(X12)
                                          & ? [X13] :
                                              ( ssList(X13)
                                              & app(X13,cons(X12,nil)) = X2
                                              & lt(X12,X10) ) ) ) ) ) ) )
                    | ( nil != X3
                      & nil = X2 )
                    | ( ( nil != X1
                        | nil = X0 )
                      & ( ~ neq(X1,nil)
                        | ( neq(X0,nil)
                          & segmentP(X1,X0) ) ) ) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

fof(f97,negated_conjecture,
    ~ ! [X0] :
        ( ssList(X0)
       => ! [X1] :
            ( ssList(X1)
           => ! [X2] :
                ( ssList(X2)
               => ! [X3] :
                    ( ssList(X3)
                   => ( X1 != X3
                      | X0 != X2
                      | ! [X4] :
                          ( ssList(X4)
                         => ! [X5] :
                              ( ssList(X5)
                             => ( app(app(X4,X2),X5) != X3
                                | ~ strictorderedP(X2)
                                | ? [X6] :
                                    ( ssItem(X6)
                                    & ? [X7] :
                                        ( ssList(X7)
                                        & app(X7,cons(X6,nil)) = X4
                                        & ? [X8] :
                                            ( ssItem(X8)
                                            & ? [X9] :
                                                ( ssList(X9)
                                                & app(cons(X8,nil),X9) = X2
                                                & lt(X6,X8) ) ) ) )
                                | ? [X10] :
                                    ( ssItem(X10)
                                    & ? [X11] :
                                        ( ssList(X11)
                                        & app(cons(X10,nil),X11) = X5
                                        & ? [X12] :
                                            ( ssItem(X12)
                                            & ? [X13] :
                                                ( ssList(X13)
                                                & app(X13,cons(X12,nil)) = X2
                                                & lt(X12,X10) ) ) ) ) ) ) )
                      | ( nil != X3
                        & nil = X2 )
                      | ( ( nil != X1
                          | nil = X0 )
                        & ( ~ neq(X1,nil)
                          | ( neq(X0,nil)
                            & segmentP(X1,X0) ) ) ) ) ) ) ) ),
    inference(negated_conjecture,[status(cth)],[f96]) ).

fof(f103,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( segmentP(X0,X1)
          <=> ? [X2] :
                ( ssList(X2)
                & ? [X3] :
                    ( ssList(X3)
                    & app(app(X2,X1),X3) = X0 ) ) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f7]) ).

fof(f118,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( neq(X0,X1)
          <=> X0 != X1 )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f15]) ).

fof(f132,plain,
    ! [X0] :
      ( ! [X1] :
          ( ssList(app(X0,X1))
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f26]) ).

fof(f200,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( nil = app(X0,X1)
          <=> ( nil = X1
              & nil = X0 ) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f83]) ).

fof(f221,plain,
    ? [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( X1 = X3
                  & X0 = X2
                  & ? [X4] :
                      ( ? [X5] :
                          ( app(app(X4,X2),X5) = X3
                          & strictorderedP(X2)
                          & ! [X6] :
                              ( ~ ssItem(X6)
                              | ! [X7] :
                                  ( ~ ssList(X7)
                                  | app(X7,cons(X6,nil)) != X4
                                  | ! [X8] :
                                      ( ~ ssItem(X8)
                                      | ! [X9] :
                                          ( ~ ssList(X9)
                                          | app(cons(X8,nil),X9) != X2
                                          | ~ lt(X6,X8) ) ) ) )
                          & ! [X10] :
                              ( ~ ssItem(X10)
                              | ! [X11] :
                                  ( ~ ssList(X11)
                                  | app(cons(X10,nil),X11) != X5
                                  | ! [X12] :
                                      ( ~ ssItem(X12)
                                      | ! [X13] :
                                          ( ~ ssList(X13)
                                          | app(X13,cons(X12,nil)) != X2
                                          | ~ lt(X12,X10) ) ) ) )
                          & ssList(X5) )
                      & ssList(X4) )
                  & ( nil = X3
                    | nil != X2 )
                  & ( ( nil = X1
                      & nil != X0 )
                    | ( neq(X1,nil)
                      & ( ~ neq(X0,nil)
                        | ~ segmentP(X1,X0) ) ) )
                  & ssList(X3) )
              & ssList(X2) )
          & ssList(X1) )
      & ssList(X0) ),
    inference(ennf_transformation,[],[f97]) ).

fof(f222,plain,
    ? [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( X1 = X3
                  & X0 = X2
                  & ? [X4] :
                      ( ? [X5] :
                          ( app(app(X4,X2),X5) = X3
                          & strictorderedP(X2)
                          & ! [X6] :
                              ( ~ ssItem(X6)
                              | ! [X7] :
                                  ( ~ ssList(X7)
                                  | app(X7,cons(X6,nil)) != X4
                                  | ! [X8] :
                                      ( ~ ssItem(X8)
                                      | ! [X9] :
                                          ( ~ ssList(X9)
                                          | app(cons(X8,nil),X9) != X2
                                          | ~ lt(X6,X8) ) ) ) )
                          & ! [X10] :
                              ( ~ ssItem(X10)
                              | ! [X11] :
                                  ( ~ ssList(X11)
                                  | app(cons(X10,nil),X11) != X5
                                  | ! [X12] :
                                      ( ~ ssItem(X12)
                                      | ! [X13] :
                                          ( ~ ssList(X13)
                                          | app(X13,cons(X12,nil)) != X2
                                          | ~ lt(X12,X10) ) ) ) )
                          & ssList(X5) )
                      & ssList(X4) )
                  & ( nil = X3
                    | nil != X2 )
                  & ( ( nil = X1
                      & nil != X0 )
                    | ( neq(X1,nil)
                      & ( ~ neq(X0,nil)
                        | ~ segmentP(X1,X0) ) ) )
                  & ssList(X3) )
              & ssList(X2) )
          & ssList(X1) )
      & ssList(X0) ),
    inference(flattening,[],[f221]) ).

fof(f241,plain,
    ! [X2,X3,X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | app(app(X2,X1),X3) != X0
      | ~ ssList(X3)
      | ~ ssList(X2)
      | segmentP(X0,X1) ),
    inference(cnf_transformation,[],[f103]) ).

fof(f303,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | X0 = X1
      | neq(X0,X1) ),
    inference(cnf_transformation,[],[f118]) ).

fof(f304,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | X0 != X1
      | ~ neq(X0,X1) ),
    inference(cnf_transformation,[],[f118]) ).

fof(f306,plain,
    ssList(nil),
    inference(cnf_transformation,[],[f17]) ).

fof(f318,plain,
    ! [X0,X1] :
      ( ssList(app(X0,X1))
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f132]) ).

fof(f394,plain,
    ! [X0,X1] :
      ( nil != app(X0,X1)
      | ~ ssList(X1)
      | nil = X0
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f200]) ).

fof(f395,plain,
    ! [X0,X1] :
      ( nil != app(X0,X1)
      | ~ ssList(X1)
      | nil = X1
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f200]) ).

fof(f413,plain,
    ssList(sK52),
    inference(cnf_transformation,[],[f222]) ).

fof(f415,plain,
    sK50 = app(app(sK51,sK49),sK52),
    inference(cnf_transformation,[],[f222]) ).

fof(f416,plain,
    ( ~ segmentP(sK48,sK47)
    | ~ neq(sK47,nil)
    | nil = sK48 ),
    inference(cnf_transformation,[],[f222]) ).

fof(f418,plain,
    ssList(sK51),
    inference(cnf_transformation,[],[f222]) ).

fof(f419,plain,
    ( neq(sK48,nil)
    | nil != sK47 ),
    inference(cnf_transformation,[],[f222]) ).

fof(f421,plain,
    ( nil != sK49
    | nil = sK50 ),
    inference(cnf_transformation,[],[f222]) ).

fof(f422,plain,
    ssList(sK50),
    inference(cnf_transformation,[],[f222]) ).

fof(f423,plain,
    sK47 = sK49,
    inference(cnf_transformation,[],[f222]) ).

fof(f424,plain,
    sK48 = sK50,
    inference(cnf_transformation,[],[f222]) ).

fof(f425,plain,
    ssList(sK49),
    inference(cnf_transformation,[],[f222]) ).

fof(f431,plain,
    ( neq(sK50,nil)
    | nil != sK49 ),
    inference(definition_unfolding,[],[f419,f424,f423]) ).

fof(f433,plain,
    ( ~ segmentP(sK50,sK49)
    | ~ neq(sK49,nil)
    | nil = sK50 ),
    inference(definition_unfolding,[],[f416,f424,f423,f423,f424]) ).

fof(f439,plain,
    ! [X2,X3,X1] :
      ( ~ ssList(app(app(X2,X1),X3))
      | ~ ssList(X1)
      | ~ ssList(X3)
      | ~ ssList(X2)
      | segmentP(app(app(X2,X1),X3),X1) ),
    inference(equality_resolution,[],[f241]) ).

fof(f448,plain,
    ! [X1] :
      ( ~ ssList(X1)
      | ~ ssList(X1)
      | ~ neq(X1,X1) ),
    inference(equality_resolution,[],[f304]) ).

fof(f471,plain,
    ! [X2,X3,X1] :
      ( ~ ssList(app(app(X2,X1),X3))
      | ~ ssList(X1)
      | ~ ssList(X3)
      | ~ ssList(X2)
      | ~ segmentP(app(app(X2,X1),X3),X1) ),
    inference(consistent_polarity_flipping,[],[f439]) ).

fof(f499,plain,
    ! [X1] :
      ( ~ ssList(X1)
      | ~ ssList(X1)
      | neq(X1,X1) ),
    inference(consistent_polarity_flipping,[],[f448]) ).

fof(f500,plain,
    ! [X0,X1] :
      ( ~ neq(X0,X1)
      | ~ ssList(X1)
      | X0 = X1
      | ~ ssList(X0) ),
    inference(consistent_polarity_flipping,[],[f303]) ).

fof(f552,plain,
    ( ~ neq(sK50,nil)
    | nil != sK49 ),
    inference(consistent_polarity_flipping,[],[f431]) ).

fof(f554,plain,
    ( segmentP(sK50,sK49)
    | neq(sK49,nil)
    | nil = sK50 ),
    inference(consistent_polarity_flipping,[],[f433]) ).

fof(f559,plain,
    ! [X1] :
      ( neq(X1,X1)
      | ~ ssList(X1) ),
    inference(duplicate_literal_removal,[],[f499]) ).

fof(f563,definition,
    ( spl53_1
  <=> nil = sK50 ),
    introduced(definition,[new_symbols(definition,[spl53_1])],[avatar_definition]) ).

fof(f565,plain,
    ( nil = sK50
    | ~ spl53_1 ),
    inference(avatar_component_clause,[],[f563]) ).

fof(f567,definition,
    ( spl53_2
  <=> neq(sK49,nil) ),
    introduced(definition,[new_symbols(definition,[spl53_2])],[avatar_definition]) ).

fof(f569,plain,
    ( neq(sK49,nil)
    | ~ spl53_2 ),
    inference(avatar_component_clause,[],[f567]) ).

fof(f571,definition,
    ( spl53_3
  <=> segmentP(sK50,sK49) ),
    introduced(definition,[new_symbols(definition,[spl53_3])],[avatar_definition]) ).

fof(f573,plain,
    ( segmentP(sK50,sK49)
    | ~ spl53_3 ),
    inference(avatar_component_clause,[],[f571]) ).

fof(f574,plain,
    ( spl53_1
    | spl53_2
    | spl53_3 ),
    inference(avatar_split_clause,[],[f554,f571,f567,f563]) ).

fof(f576,definition,
    ( spl53_4
  <=> nil = sK49 ),
    introduced(definition,[new_symbols(definition,[spl53_4])],[avatar_definition]) ).

fof(f578,plain,
    ( nil != sK49
    | spl53_4 ),
    inference(avatar_component_clause,[],[f576]) ).

fof(f581,definition,
    ( spl53_5
  <=> neq(sK50,nil) ),
    introduced(definition,[new_symbols(definition,[spl53_5])],[avatar_definition]) ).

fof(f583,plain,
    ( ~ neq(sK50,nil)
    | spl53_5 ),
    inference(avatar_component_clause,[],[f581]) ).

fof(f584,plain,
    ( ~ spl53_4
    | ~ spl53_5 ),
    inference(avatar_split_clause,[],[f552,f581,f576]) ).

fof(f586,plain,
    ( spl53_1
    | ~ spl53_4 ),
    inference(avatar_split_clause,[],[f421,f576,f563]) ).

fof(f592,definition,
    ( spl53_7
  <=> ssList(nil) ),
    introduced(definition,[new_symbols(definition,[spl53_7])],[avatar_definition]) ).

fof(f593,plain,
    ( ssList(nil)
    | ~ spl53_7 ),
    inference(avatar_component_clause,[],[f592]) ).

fof(f621,plain,
    spl53_7,
    inference(avatar_split_clause,[],[f306,f592]) ).

fof(f804,plain,
    ( ~ neq(nil,nil)
    | ~ spl53_1
    | spl53_5 ),
    inference(superposition,[],[f583,f565]) ).

fof(f886,plain,
    ( ~ ssList(nil)
    | ~ spl53_1
    | spl53_5 ),
    inference(resolution,[],[f804,f559]) ).

fof(f887,plain,
    ( $false
    | ~ spl53_1
    | spl53_5
    | ~ spl53_7 ),
    inference(forward_subsumption_resolution,[],[f886,f593]) ).

fof(f888,plain,
    ( ~ spl53_1
    | spl53_5
    | ~ spl53_7 ),
    inference(avatar_contradiction_clause,[],[f887]) ).

fof(f893,plain,
    ( ~ ssList(nil)
    | nil = sK49
    | ~ ssList(sK49)
    | ~ spl53_2 ),
    inference(resolution,[],[f500,f569]) ).

fof(f900,plain,
    ( nil = sK49
    | ~ ssList(sK49)
    | ~ spl53_2
    | ~ spl53_7 ),
    inference(forward_subsumption_resolution,[],[f893,f593]) ).

fof(f901,plain,
    ( ~ ssList(sK49)
    | ~ spl53_2
    | spl53_4
    | ~ spl53_7 ),
    inference(forward_subsumption_resolution,[],[f900,f578]) ).

fof(f902,plain,
    ( $false
    | ~ spl53_2
    | spl53_4
    | ~ spl53_7 ),
    inference(forward_subsumption_resolution,[],[f901,f425]) ).

fof(f903,plain,
    ( ~ spl53_2
    | spl53_4
    | ~ spl53_7 ),
    inference(avatar_contradiction_clause,[],[f902]) ).

fof(f1027,plain,
    ( nil != sK50
    | ~ ssList(sK52)
    | nil = app(sK51,sK49)
    | ~ ssList(app(sK51,sK49)) ),
    inference(superposition,[],[f394,f415]) ).

fof(f1052,definition,
    ( spl53_25
  <=> ssList(app(sK51,sK49)) ),
    introduced(definition,[new_symbols(definition,[spl53_25])],[avatar_definition]) ).

fof(f1053,plain,
    ( ssList(app(sK51,sK49))
    | ~ spl53_25 ),
    inference(avatar_component_clause,[],[f1052]) ).

fof(f1054,plain,
    ( ~ ssList(app(sK51,sK49))
    | spl53_25 ),
    inference(avatar_component_clause,[],[f1052]) ).

fof(f1056,definition,
    ( spl53_26
  <=> nil = app(sK51,sK49) ),
    introduced(definition,[new_symbols(definition,[spl53_26])],[avatar_definition]) ).

fof(f1058,plain,
    ( nil = app(sK51,sK49)
    | ~ spl53_26 ),
    inference(avatar_component_clause,[],[f1056]) ).

fof(f1098,plain,
    ( ~ ssList(sK49)
    | ~ ssList(sK51)
    | spl53_25 ),
    inference(resolution,[],[f1054,f318]) ).

fof(f1099,plain,
    ( ~ ssList(sK51)
    | spl53_25 ),
    inference(forward_subsumption_resolution,[],[f1098,f425]) ).

fof(f1100,plain,
    ( $false
    | spl53_25 ),
    inference(forward_subsumption_resolution,[],[f1099,f418]) ).

fof(f1101,plain,
    spl53_25,
    inference(avatar_contradiction_clause,[],[f1100]) ).

fof(f1254,plain,
    ( nil != nil
    | ~ ssList(sK49)
    | nil = sK49
    | ~ ssList(sK51)
    | ~ spl53_26 ),
    inference(superposition,[],[f395,f1058]) ).

fof(f1258,plain,
    ( ~ ssList(sK49)
    | nil = sK49
    | ~ ssList(sK51)
    | ~ spl53_26 ),
    inference(trivial_inequality_removal,[],[f1254]) ).

fof(f1260,plain,
    ( nil = sK49
    | ~ ssList(sK51)
    | ~ spl53_26 ),
    inference(forward_subsumption_resolution,[],[f1258,f425]) ).

fof(f1265,plain,
    ( ~ ssList(sK51)
    | spl53_4
    | ~ spl53_26 ),
    inference(forward_subsumption_resolution,[],[f1260,f578]) ).

fof(f1271,plain,
    ( $false
    | spl53_4
    | ~ spl53_26 ),
    inference(forward_subsumption_resolution,[],[f1265,f418]) ).

fof(f1272,plain,
    ( spl53_4
    | ~ spl53_26 ),
    inference(avatar_contradiction_clause,[],[f1271]) ).

fof(f1283,plain,
    ( nil != sK50
    | nil = app(sK51,sK49)
    | ~ ssList(app(sK51,sK49)) ),
    inference(forward_subsumption_resolution,[],[f1027,f413]) ).

fof(f1286,plain,
    ( nil != sK50
    | nil = app(sK51,sK49)
    | ~ spl53_25 ),
    inference(forward_subsumption_resolution,[],[f1283,f1053]) ).

fof(f1288,plain,
    ( spl53_26
    | ~ spl53_1
    | ~ spl53_25 ),
    inference(avatar_split_clause,[],[f1286,f1052,f563,f1056]) ).

fof(f2219,plain,
    ( ~ ssList(sK50)
    | ~ ssList(sK49)
    | ~ ssList(sK52)
    | ~ ssList(sK51)
    | ~ segmentP(sK50,sK49) ),
    inference(superposition,[],[f471,f415]) ).

fof(f2222,plain,
    ( ~ ssList(sK49)
    | ~ ssList(sK52)
    | ~ ssList(sK51)
    | ~ segmentP(sK50,sK49) ),
    inference(forward_subsumption_resolution,[],[f2219,f422]) ).

fof(f2229,plain,
    ( ~ ssList(sK52)
    | ~ ssList(sK51)
    | ~ segmentP(sK50,sK49) ),
    inference(forward_subsumption_resolution,[],[f2222,f425]) ).

fof(f2235,plain,
    ( ~ ssList(sK51)
    | ~ segmentP(sK50,sK49) ),
    inference(forward_subsumption_resolution,[],[f2229,f413]) ).

fof(f2236,plain,
    ~ segmentP(sK50,sK49),
    inference(forward_subsumption_resolution,[],[f2235,f418]) ).

fof(f2237,plain,
    ( $false
    | ~ spl53_3 ),
    inference(forward_subsumption_resolution,[],[f2236,f573]) ).

fof(f2238,plain,
    ~ spl53_3,
    inference(avatar_contradiction_clause,[],[f2237]) ).

cnf(s1,plain,
    ( spl53_1
    | spl53_2
    | spl53_3 ),
    inference(sat_conversion,[],[f574]) ).

cnf(s3,plain,
    ( ~ spl53_4
    | ~ spl53_5 ),
    inference(sat_conversion,[],[f584]) ).

cnf(s5,plain,
    ( spl53_1
    | ~ spl53_4 ),
    inference(sat_conversion,[],[f586]) ).

cnf(s14,plain,
    spl53_7,
    inference(sat_conversion,[],[f621]) ).

cnf(s23,plain,
    ( ~ spl53_1
    | spl53_5
    | ~ spl53_7 ),
    inference(sat_conversion,[],[f888]) ).

cnf(s25,plain,
    ( ~ spl53_2
    | spl53_4
    | ~ spl53_7 ),
    inference(sat_conversion,[],[f903]) ).

cnf(s31,plain,
    spl53_25,
    inference(sat_conversion,[],[f1101]) ).

cnf(s42,plain,
    ( spl53_4
    | ~ spl53_26 ),
    inference(sat_conversion,[],[f1272]) ).

cnf(s45,plain,
    ( ~ spl53_1
    | ~ spl53_25
    | spl53_26 ),
    inference(sat_conversion,[],[f1288]) ).

cnf(s83,plain,
    ~ spl53_3,
    inference(sat_conversion,[],[f2238]) ).

cnf(s118,plain,
    ( spl53_1
    | spl53_2 ),
    inference(rat,[],[s1,s83]) ).

cnf(s119,plain,
    spl53_1,
    inference(rat,[],[s25,s118,s5,s14]) ).

cnf(s120,plain,
    spl53_26,
    inference(rat,[],[s45,s31,s119]) ).

cnf(s124,plain,
    spl53_5,
    inference(rat,[],[s23,s14,s119]) ).

cnf(s125,plain,
    spl53_4,
    inference(rat,[],[s42,s120]) ).

cnf(s127,plain,
    $false,
    inference(rat,[],[s3,s124,s125]) ).

fof(f2239,plain,
    $false,
    inference(avatar_sat_refutation,[],[s127]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWC112+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.37  % Computer : n001.cluster.edu
% 0.11/0.37  % Model    : x86_64 x86_64
% 0.11/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37  % Memory   : 8046.5625MB
% 0.11/0.37  % OS       : Linux 6.8.0-71-generic
% 0.11/0.37  % CPULimit : 300
% 0.11/0.37  % WCLimit  : 300
% 0.11/0.37  % DateTime : Mon Sep 28 08:01:02 UTC 2026
% 0.11/0.37  % CPUTime  : 
% 0.11/0.37  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.41  Running first-order model finding
% 0.11/0.41  Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.51  % (200099)Will run a generic schedule for satisfiability detection.
% 0.17/0.51  % (200109)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1980483947:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.17/0.51  % (200105)% WARNING: option uhcvi not known.
% 0.17/0.51  % (200104)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2650097354_2999 on theBenchmark for (2999ds/0Mi)
% 0.17/0.51  % (200105)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1216474529:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.17/0.51  % (200106)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=171949540:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.17/0.51  % (200107)dis+10_1_sil=32000:sp=arity:random_seed=110847279:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.17/0.51  % (200108)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2280538933:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.17/0.51  % (200110)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1687113921:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.17/0.51  % TRYING [1]
% 0.17/0.51  % TRYING [2]
% 0.17/0.51  % TRYING [3]
% 0.17/0.51  % (200109)Instruction limit reached! 
% 0.17/0.51  % (200109)------------------------------
% 0.17/0.51  % (200109)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.17/0.51  % (200109)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/0.51  % (200109)CaDiCaL version: 2.1.3
% 0.17/0.51  % (200109)Termination reason: Instruction limit
% 0.17/0.51  % (200109)Termination phase: Saturation
% 0.17/0.51  % (200109)Time elapsed: 0.044 s
% 0.17/0.51  % (200109)Peak memory usage: 14 MB
% 0.17/0.51  % (200109)Instructions burned: 132 (million)
% 0.17/0.51  % TRYING [4]
% 0.17/0.51  % (200105) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-200099-200105"...
% 0.17/0.51  % (200105)...printing done.
% 0.17/0.51  % (200105)Refutation found. Thanks to Tanya!
% 0.17/0.51  % SZS status Theorem for theBenchmark
% 0.17/0.51  % SZS output start Proof for theBenchmark
% See solution above
% 0.17/0.51  % (200105)------------------------------
% 0.17/0.51  % (200105)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.17/0.51  % (200105)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/0.51  % (200105)CaDiCaL version: 2.1.3
% 0.17/0.51  % (200105)Termination reason: Refutation
% 0.17/0.51  % (200105)Time elapsed: 0.047 s
% 0.17/0.51  % (200105)Peak memory usage: 13 MB
% 0.17/0.51  % (200105)Instructions burned: 72 (million)
% 0.17/0.51  % (200099)Success in time 0.089 s
% 0.17/0.51  % Vampire exiting
%------------------------------------------------------------------------------