↑ Up

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

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : SWC311-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT

% Computer : n012.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 01:05:30 PM UTC 2026

% Result   : Unsatisfiable 1.31s 0.35s
% Output   : Refutation 1.31s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   17
%            Number of leaves      :   25
% Syntax   : Number of formulae    :  113 (   8 unt;   8 def)
%            Number of atoms       :  373 (  73 equ)
%            Maximal formula atoms :   12 (   3 avg)
%            Number of connectives :  481 ( 221   ~; 252   |;   0   &)
%                                         (   8 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   17 (   4 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   13 (  11 usr;   9 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   5 con; 0-2 aty)
%            Number of variables   :   38 (   0 sgn  38   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f8,axiom,
    ssList(nil),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause8) ).

fof(f75,axiom,
    ! [X0] :
      ( ssList(tl(X0))
      | ~ ssList(X0)
      | nil = X0 ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause75) ).

fof(f76,axiom,
    ! [X0] :
      ( ssItem(hd(X0))
      | ~ ssList(X0)
      | nil = X0 ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause76) ).

fof(f85,axiom,
    ! [X0,X1] :
      ( ssList(app(X1,X0))
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause85) ).

fof(f86,axiom,
    ! [X0,X1] :
      ( ssList(cons(X0,X1))
      | ~ ssList(X1)
      | ~ ssItem(X0) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause86) ).

fof(f101,axiom,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | neq(X1,X0)
      | X1 = X0 ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause100) ).

fof(f102,plain,
    ! [X0,X1] :
      ( neq(X1,X0)
      | ~ ssList(X1)
      | ~ ssList(X0)
      | X0 = X1 ),
    inference(reorient_equations,[],[f101]) ).

fof(f107,axiom,
    ! [X0] :
      ( ~ ssList(X0)
      | cons(hd(X0),tl(X0)) = X0
      | nil = X0 ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause104) ).

fof(f118,axiom,
    ! [X0,X1] :
      ( X0 != X1
      | ~ neq(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause115) ).

fof(f125,axiom,
    ! [X0,X1] :
      ( ~ ssItem(X0)
      | ~ ssList(X1)
      | app(cons(X0,nil),X1) = cons(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause120) ).

fof(f126,plain,
    ! [X0,X1] :
      ( ~ ssItem(X0)
      | ~ ssList(X1)
      | cons(X0,X1) = app(cons(X0,nil),X1) ),
    inference(reorient_equations,[],[f125]) ).

fof(f203,negated_conjecture,
    ssList(sk4),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_4) ).

fof(f204,negated_conjecture,
    sk2 = sk4,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_5) ).

fof(f205,negated_conjecture,
    sk1 = sk3,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_6) ).

fof(f206,negated_conjecture,
    ( nil = sk3
    | nil != sk4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).

fof(f207,negated_conjecture,
    ! [X2,X3,X0,X1] :
      ( ~ ssList(X0)
      | sk3 = X0
      | ~ ssList(X1)
      | ~ ssList(X2)
      | tl(sk4) != X1
      | app(X1,X2) != X0
      | ~ ssItem(X3)
      | cons(X3,nil) != X2
      | hd(sk4) != X3
      | ~ neq(nil,sk4)
      | ~ neq(nil,sk4)
      | ~ neq(sk4,nil) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).

fof(f208,negated_conjecture,
    ( nil = sk2
    | neq(sk2,nil) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).

fof(f209,negated_conjecture,
    ! [X0,X1] :
      ( nil = sk2
      | ~ ssItem(X0)
      | ~ ssList(X1)
      | app(cons(X0,nil),X1) != sk2
      | app(X1,cons(X0,nil)) != sk1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_10) ).

fof(f210,plain,
    ! [X0,X1] :
      ( nil = sk2
      | ~ ssItem(X0)
      | ~ ssList(X1)
      | app(cons(X0,nil),X1) != sk2
      | sk1 != app(X1,cons(X0,nil)) ),
    inference(reorient_equations,[],[f209]) ).

fof(f211,negated_conjecture,
    ( nil != sk1
    | neq(sk2,nil) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_11) ).

fof(f216,plain,
    ( nil = sk4
    | neq(sk4,nil) ),
    inference(definition_unfolding,[],[f208,f204,f204]) ).

fof(f217,plain,
    ! [X0,X1] :
      ( nil = sk4
      | ~ ssItem(X0)
      | ~ ssList(X1)
      | app(cons(X0,nil),X1) != sk4
      | sk3 != app(X1,cons(X0,nil)) ),
    inference(definition_unfolding,[],[f210,f204,f204,f205]) ).

fof(f218,plain,
    ( nil != sk3
    | neq(sk4,nil) ),
    inference(definition_unfolding,[],[f211,f205,f204]) ).

fof(f226,plain,
    ! [X1] :
      ( ~ neq(X1,X1)
      | ~ ssList(X1)
      | ~ ssList(X1) ),
    inference(equality_resolution,[],[f118]) ).

fof(f244,plain,
    ! [X2,X3,X0] :
      ( ~ ssList(X0)
      | sk3 = X0
      | ~ ssList(tl(sk4))
      | ~ ssList(X2)
      | app(tl(sk4),X2) != X0
      | ~ ssItem(X3)
      | cons(X3,nil) != X2
      | hd(sk4) != X3
      | ~ neq(nil,sk4)
      | ~ neq(nil,sk4)
      | ~ neq(sk4,nil) ),
    inference(equality_resolution,[],[f207]) ).

fof(f245,plain,
    ! [X2,X3] :
      ( ~ ssList(app(tl(sk4),X2))
      | sk3 = app(tl(sk4),X2)
      | ~ ssList(tl(sk4))
      | ~ ssList(X2)
      | ~ ssItem(X3)
      | cons(X3,nil) != X2
      | hd(sk4) != X3
      | ~ neq(nil,sk4)
      | ~ neq(nil,sk4)
      | ~ neq(sk4,nil) ),
    inference(equality_resolution,[],[f244]) ).

fof(f246,plain,
    ! [X3] :
      ( ~ ssList(app(tl(sk4),cons(X3,nil)))
      | sk3 = app(tl(sk4),cons(X3,nil))
      | ~ ssList(tl(sk4))
      | ~ ssList(cons(X3,nil))
      | ~ ssItem(X3)
      | hd(sk4) != X3
      | ~ neq(nil,sk4)
      | ~ neq(nil,sk4)
      | ~ neq(sk4,nil) ),
    inference(equality_resolution,[],[f245]) ).

fof(f247,plain,
    ( ~ ssList(app(tl(sk4),cons(hd(sk4),nil)))
    | sk3 = app(tl(sk4),cons(hd(sk4),nil))
    | ~ ssList(tl(sk4))
    | ~ ssList(cons(hd(sk4),nil))
    | ~ ssItem(hd(sk4))
    | ~ neq(nil,sk4)
    | ~ neq(nil,sk4)
    | ~ neq(sk4,nil) ),
    inference(equality_resolution,[],[f246]) ).

fof(f248,plain,
    ( ~ ssList(app(tl(sk4),cons(hd(sk4),nil)))
    | sk3 = app(tl(sk4),cons(hd(sk4),nil))
    | ~ ssList(tl(sk4))
    | ~ ssList(cons(hd(sk4),nil))
    | ~ ssItem(hd(sk4))
    | ~ neq(nil,sk4)
    | ~ neq(sk4,nil) ),
    inference(duplicate_literal_removal,[],[f247]) ).

fof(f253,plain,
    ! [X1] :
      ( ~ neq(X1,X1)
      | ~ ssList(X1) ),
    inference(duplicate_literal_removal,[],[f226]) ).

fof(f256,definition,
    ( spl0_1
  <=> nil = sk4 ),
    introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).

fof(f257,plain,
    ( nil = sk4
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f256]) ).

fof(f258,plain,
    ( nil != sk4
    | spl0_1 ),
    inference(avatar_component_clause,[],[f256]) ).

fof(f260,definition,
    ( spl0_2
  <=> nil = sk3 ),
    introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).

fof(f262,plain,
    ( nil = sk3
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f260]) ).

fof(f263,plain,
    ( ~ spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[],[f206,f260,f256]) ).

fof(f264,plain,
    ( neq(sk4,nil)
    | spl0_1 ),
    inference(forward_subsumption_resolution,[],[f216,f258]) ).

fof(f291,definition,
    ( spl0_7
  <=> neq(nil,sk4) ),
    introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).

fof(f292,plain,
    ( neq(nil,sk4)
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f291]) ).

fof(f293,plain,
    ( ~ neq(nil,sk4)
    | spl0_7 ),
    inference(avatar_component_clause,[],[f291]) ).

fof(f295,definition,
    ( spl0_8
  <=> ssItem(hd(sk4)) ),
    introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).

fof(f296,plain,
    ( ssItem(hd(sk4))
    | ~ spl0_8 ),
    inference(avatar_component_clause,[],[f295]) ).

fof(f297,plain,
    ( ~ ssItem(hd(sk4))
    | spl0_8 ),
    inference(avatar_component_clause,[],[f295]) ).

fof(f299,definition,
    ( spl0_9
  <=> ssList(cons(hd(sk4),nil)) ),
    introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).

fof(f300,plain,
    ( ssList(cons(hd(sk4),nil))
    | ~ spl0_9 ),
    inference(avatar_component_clause,[],[f299]) ).

fof(f301,plain,
    ( ~ ssList(cons(hd(sk4),nil))
    | spl0_9 ),
    inference(avatar_component_clause,[],[f299]) ).

fof(f303,definition,
    ( spl0_10
  <=> ssList(tl(sk4)) ),
    introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).

fof(f304,plain,
    ( ssList(tl(sk4))
    | ~ spl0_10 ),
    inference(avatar_component_clause,[],[f303]) ).

fof(f305,plain,
    ( ~ ssList(tl(sk4))
    | spl0_10 ),
    inference(avatar_component_clause,[],[f303]) ).

fof(f307,definition,
    ( spl0_11
  <=> ssList(app(tl(sk4),cons(hd(sk4),nil))) ),
    introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).

fof(f308,plain,
    ( ssList(app(tl(sk4),cons(hd(sk4),nil)))
    | ~ spl0_11 ),
    inference(avatar_component_clause,[],[f307]) ).

fof(f309,plain,
    ( ~ ssList(app(tl(sk4),cons(hd(sk4),nil)))
    | spl0_11 ),
    inference(avatar_component_clause,[],[f307]) ).

fof(f1027,plain,
    ( ~ ssList(tl(sk4))
    | ~ ssList(cons(hd(sk4),nil))
    | spl0_11 ),
    inference(resolution,[],[f85,f309]) ).

fof(f1128,plain,
    ( ~ ssList(sk4)
    | nil = sk4
    | spl0_8 ),
    inference(resolution,[],[f76,f297]) ).

fof(f1129,plain,
    ( nil = sk4
    | spl0_8 ),
    inference(forward_subsumption_resolution,[],[f1128,f203]) ).

fof(f1130,plain,
    ( $false
    | spl0_1
    | spl0_8 ),
    inference(forward_subsumption_resolution,[],[f1129,f258]) ).

fof(f1131,plain,
    ( spl0_1
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f1130]) ).

fof(f1155,plain,
    ( neq(sk4,nil)
    | ~ spl0_2 ),
    inference(forward_subsumption_resolution,[],[f218,f262]) ).

fof(f1156,plain,
    ( neq(nil,nil)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1155,f257]) ).

fof(f1168,plain,
    ( ~ ssList(nil)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(resolution,[],[f253,f1156]) ).

fof(f1169,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_subsumption_resolution,[],[f1168,f8]) ).

fof(f1170,plain,
    ( ~ spl0_1
    | ~ spl0_2 ),
    inference(avatar_contradiction_clause,[],[f1169]) ).

fof(f1490,plain,
    ( ! [X0,X1] :
        ( sk3 != app(X1,cons(X0,nil))
        | ~ ssList(X1)
        | app(cons(X0,nil),X1) != sk4
        | ~ ssItem(X0) )
    | spl0_1 ),
    inference(forward_subsumption_resolution,[],[f217,f258]) ).

fof(f1548,plain,
    ( ~ ssList(cons(hd(sk4),nil))
    | ~ spl0_10
    | spl0_11 ),
    inference(forward_subsumption_resolution,[],[f1027,f304]) ).

fof(f1549,plain,
    ( $false
    | ~ spl0_9
    | ~ spl0_10
    | spl0_11 ),
    inference(forward_subsumption_resolution,[],[f1548,f300]) ).

fof(f1550,plain,
    ( ~ spl0_9
    | ~ spl0_10
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f1549]) ).

fof(f1573,plain,
    ( ~ ssList(sk4)
    | nil = sk4
    | spl0_10 ),
    inference(resolution,[],[f75,f305]) ).

fof(f1575,plain,
    ( nil = sk4
    | spl0_10 ),
    inference(forward_subsumption_resolution,[],[f1573,f203]) ).

fof(f1576,plain,
    ( $false
    | spl0_1
    | spl0_10 ),
    inference(forward_subsumption_resolution,[],[f1575,f258]) ).

fof(f1577,plain,
    ( spl0_1
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1576]) ).

fof(f1632,plain,
    ( ~ ssList(nil)
    | ~ ssList(sk4)
    | nil = sk4
    | spl0_7 ),
    inference(resolution,[],[f102,f293]) ).

fof(f1634,plain,
    ( ~ ssList(sk4)
    | nil = sk4
    | spl0_7 ),
    inference(forward_subsumption_resolution,[],[f1632,f8]) ).

fof(f1635,plain,
    ( nil = sk4
    | spl0_7 ),
    inference(forward_subsumption_resolution,[],[f1634,f203]) ).

fof(f1636,plain,
    ( $false
    | spl0_1
    | spl0_7 ),
    inference(forward_subsumption_resolution,[],[f1635,f258]) ).

fof(f1637,plain,
    ( spl0_1
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f1636]) ).

fof(f2143,plain,
    ( sk4 = cons(hd(sk4),tl(sk4))
    | nil = sk4 ),
    inference(resolution,[],[f107,f203]) ).

fof(f2144,plain,
    ( sk4 = cons(hd(sk4),tl(sk4))
    | spl0_1 ),
    inference(forward_subsumption_resolution,[],[f2143,f258]) ).

fof(f2800,plain,
    ( ~ ssList(nil)
    | ~ ssItem(hd(sk4))
    | spl0_9 ),
    inference(resolution,[],[f86,f301]) ).

fof(f2807,plain,
    ( ~ ssItem(hd(sk4))
    | spl0_9 ),
    inference(forward_subsumption_resolution,[],[f2800,f8]) ).

fof(f2810,plain,
    ( $false
    | ~ spl0_8
    | spl0_9 ),
    inference(forward_subsumption_resolution,[],[f2807,f296]) ).

fof(f2811,plain,
    ( ~ spl0_8
    | spl0_9 ),
    inference(avatar_contradiction_clause,[],[f2810]) ).

fof(f3002,plain,
    ( ! [X0] :
        ( ~ ssList(X0)
        | cons(hd(sk4),X0) = app(cons(hd(sk4),nil),X0) )
    | ~ spl0_8 ),
    inference(resolution,[],[f126,f296]) ).

fof(f5483,plain,
    ( cons(hd(sk4),tl(sk4)) = app(cons(hd(sk4),nil),tl(sk4))
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(resolution,[],[f304,f3002]) ).

fof(f5556,plain,
    ( sk4 = app(cons(hd(sk4),nil),tl(sk4))
    | spl0_1
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f5483,f2144]) ).

fof(f5559,plain,
    ( ~ ssList(app(tl(sk4),cons(hd(sk4),nil)))
    | sk3 = app(tl(sk4),cons(hd(sk4),nil))
    | ~ ssList(cons(hd(sk4),nil))
    | ~ ssItem(hd(sk4))
    | ~ neq(nil,sk4)
    | ~ neq(sk4,nil)
    | ~ spl0_10 ),
    inference(forward_subsumption_resolution,[],[f248,f304]) ).

fof(f5569,definition,
    ( spl0_102
  <=> sk3 = app(tl(sk4),cons(hd(sk4),nil)) ),
    introduced(definition,[new_symbols(definition,[spl0_102])],[avatar_definition]) ).

fof(f5570,plain,
    ( sk3 != app(tl(sk4),cons(hd(sk4),nil))
    | spl0_102 ),
    inference(avatar_component_clause,[],[f5569]) ).

fof(f5571,plain,
    ( sk3 = app(tl(sk4),cons(hd(sk4),nil))
    | ~ spl0_102 ),
    inference(avatar_component_clause,[],[f5569]) ).

fof(f5574,plain,
    ( sk3 != sk3
    | ~ ssList(tl(sk4))
    | sk4 != app(cons(hd(sk4),nil),tl(sk4))
    | ~ ssItem(hd(sk4))
    | spl0_1
    | ~ spl0_102 ),
    inference(superposition,[],[f1490,f5571]) ).

fof(f5575,plain,
    ( ~ ssList(tl(sk4))
    | sk4 != app(cons(hd(sk4),nil),tl(sk4))
    | ~ ssItem(hd(sk4))
    | spl0_1
    | ~ spl0_102 ),
    inference(trivial_inequality_removal,[],[f5574]) ).

fof(f5576,plain,
    ( sk4 != app(cons(hd(sk4),nil),tl(sk4))
    | ~ ssItem(hd(sk4))
    | spl0_1
    | ~ spl0_10
    | ~ spl0_102 ),
    inference(forward_subsumption_resolution,[],[f5575,f304]) ).

fof(f5577,plain,
    ( ~ ssItem(hd(sk4))
    | spl0_1
    | ~ spl0_8
    | ~ spl0_10
    | ~ spl0_102 ),
    inference(forward_subsumption_resolution,[],[f5576,f5556]) ).

fof(f5578,plain,
    ( ~ spl0_8
    | spl0_1
    | ~ spl0_8
    | ~ spl0_10
    | ~ spl0_102 ),
    inference(avatar_split_clause,[],[f5577,f5569,f303,f295,f256,f295]) ).

fof(f5579,plain,
    ( ~ ssList(app(tl(sk4),cons(hd(sk4),nil)))
    | sk3 = app(tl(sk4),cons(hd(sk4),nil))
    | ~ ssList(cons(hd(sk4),nil))
    | ~ ssItem(hd(sk4))
    | ~ neq(sk4,nil)
    | ~ spl0_7
    | ~ spl0_10 ),
    inference(forward_subsumption_resolution,[],[f5559,f292]) ).

fof(f5580,plain,
    ( ~ ssList(app(tl(sk4),cons(hd(sk4),nil)))
    | sk3 = app(tl(sk4),cons(hd(sk4),nil))
    | ~ ssList(cons(hd(sk4),nil))
    | ~ ssItem(hd(sk4))
    | spl0_1
    | ~ spl0_7
    | ~ spl0_10 ),
    inference(forward_subsumption_resolution,[],[f5579,f264]) ).

fof(f5585,plain,
    ( sk3 = app(tl(sk4),cons(hd(sk4),nil))
    | ~ ssList(cons(hd(sk4),nil))
    | ~ ssItem(hd(sk4))
    | spl0_1
    | ~ spl0_7
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(forward_subsumption_resolution,[],[f5580,f308]) ).

fof(f5586,plain,
    ( ~ ssList(cons(hd(sk4),nil))
    | ~ ssItem(hd(sk4))
    | spl0_1
    | ~ spl0_7
    | ~ spl0_10
    | ~ spl0_11
    | spl0_102 ),
    inference(forward_subsumption_resolution,[],[f5585,f5570]) ).

fof(f5587,plain,
    ( ~ ssItem(hd(sk4))
    | spl0_1
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_11
    | spl0_102 ),
    inference(forward_subsumption_resolution,[],[f5586,f300]) ).

fof(f5588,plain,
    ( ~ spl0_8
    | spl0_1
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_11
    | spl0_102 ),
    inference(avatar_split_clause,[],[f5587,f5569,f307,f303,f299,f291,f256,f295]) ).

cnf(s1,plain,
    ( ~ spl0_1
    | spl0_2 ),
    inference(sat_conversion,[],[f263]) ).

cnf(s77,plain,
    ( spl0_1
    | spl0_8 ),
    inference(sat_conversion,[],[f1131]) ).

cnf(s82,plain,
    ( ~ spl0_1
    | ~ spl0_2 ),
    inference(sat_conversion,[],[f1170]) ).

cnf(s96,plain,
    ( ~ spl0_9
    | ~ spl0_10
    | spl0_11 ),
    inference(sat_conversion,[],[f1550]) ).

cnf(s100,plain,
    ( spl0_1
    | spl0_10 ),
    inference(sat_conversion,[],[f1577]) ).

cnf(s105,plain,
    ( spl0_1
    | spl0_7 ),
    inference(sat_conversion,[],[f1637]) ).

cnf(s163,plain,
    ( ~ spl0_8
    | spl0_9 ),
    inference(sat_conversion,[],[f2811]) ).

cnf(s291,plain,
    ( ~ spl0_8
    | spl0_1
    | ~ spl0_8
    | ~ spl0_10
    | ~ spl0_102 ),
    inference(sat_conversion,[],[f5578]) ).

cnf(s292,plain,
    ( spl0_1
    | ~ spl0_8
    | ~ spl0_10
    | ~ spl0_102 ),
    inference(rat,[],[s291]) ).

cnf(s293,plain,
    ( spl0_1
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_11
    | spl0_102 ),
    inference(sat_conversion,[],[f5588]) ).

cnf(s294,plain,
    spl0_1,
    inference(rat,[],[s293,s96,s163,s292,s77,s100,s105]) ).

cnf(s295,plain,
    ~ spl0_2,
    inference(rat,[],[s82,s294]) ).

cnf(s296,plain,
    $false,
    inference(rat,[],[s1,s295,s294]) ).

fof(f5589,plain,
    $false,
    inference(avatar_sat_refutation,[],[s296]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01  % Problem  : SWC311-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.03  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.00/0.11  % Computer : n012.cluster.edu
% 0.00/0.11  % Model    : x86_64 x86_64
% 0.00/0.11  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.00/0.11  % Memory   : 8046.5625MB
% 0.00/0.11  % OS       : Linux 6.8.0-71-generic
% 0.00/0.11  % CPULimit : 300
% 0.00/0.11  % WCLimit  : 300
% 0.00/0.11  % DateTime : Mon Sep 28 09:00:19 UTC 2026
% 0.00/0.11  % CPUTime  : 
% 0.00/0.11  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.13  Running first-order model finding
% 0.08/0.13  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
% 1.31/0.35  % (3247106)Will run a generic schedule for satisfiability detection.
% 1.31/0.35  % (3247112)% WARNING: option uhcvi not known.
% 1.31/0.35  % (3247111)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2741273274_2999 on theBenchmark for (2999ds/0Mi)
% 1.31/0.35  % (3247112)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=770836457:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 1.31/0.35  % (3247114)dis+10_1_sil=32000:sp=arity:random_seed=1935488472:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 1.31/0.35  % (3247113)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=4098513821:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 1.31/0.35  % (3247115)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2519973989:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 1.31/0.35  % (3247116)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2485583868:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 1.31/0.35  % (3247117)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2829279563:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 1.31/0.35  % TRYING [1]
% 1.31/0.35  % TRYING [2]
% 1.31/0.35  % TRYING [3]
% 1.31/0.35  % TRYING [4]
% 1.31/0.35  % (3247114)Instruction limit reached! 
% 1.31/0.35  % (3247114)------------------------------
% 1.31/0.35  % (3247114)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.31/0.35  % (3247114)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.31/0.35  % (3247114)CaDiCaL version: 2.1.3
% 1.31/0.35  % (3247114)Termination reason: Instruction limit
% 1.31/0.35  % (3247114)Termination phase: Saturation
% 1.31/0.35  % (3247114)Time elapsed: 0.032 s
% 1.31/0.35  % (3247114)Peak memory usage: 13 MB
% 1.31/0.35  % (3247114)Instructions burned: 106 (million)
% 1.31/0.35  % (3247115)Instruction limit reached! 
% 1.31/0.35  % (3247115)------------------------------
% 1.31/0.35  % (3247115)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.31/0.35  % (3247115)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.31/0.35  % (3247115)CaDiCaL version: 2.1.3
% 1.31/0.35  % (3247115)Termination reason: Instruction limit
% 1.31/0.35  % (3247115)Termination phase: Saturation
% 1.31/0.35  % (3247115)Time elapsed: 0.032 s
% 1.31/0.35  % (3247115)Peak memory usage: 13 MB
% 1.31/0.35  % (3247115)Instructions burned: 117 (million)
% 1.31/0.35  % (3247116)Instruction limit reached! 
% 1.31/0.35  % (3247116)------------------------------
% 1.31/0.35  % (3247116)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.31/0.35  % (3247116)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.31/0.35  % (3247116)CaDiCaL version: 2.1.3
% 1.31/0.35  % (3247116)Termination reason: Instruction limit
% 1.31/0.35  % (3247116)Termination phase: Saturation
% 1.31/0.35  % (3247116)Time elapsed: 0.034 s
% 1.31/0.35  % (3247116)Peak memory usage: 13 MB
% 1.31/0.35  % (3247116)Instructions burned: 132 (million)
% 1.31/0.35  % (3247126)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2164434301:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 1.31/0.35  % (3247125)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=4267254088:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 1.31/0.35  % (3247127)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=3265939633:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2999 on theBenchmark for (2999ds/684Mi)
% 1.31/0.35  % TRYING [1]
% 1.31/0.35  % TRYING [2]
% 1.31/0.35  % (3247117)Instruction limit reached! 
% 1.31/0.35  % (3247117)------------------------------
% 1.31/0.35  % (3247117)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.31/0.35  % (3247117)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.31/0.35  % (3247117)CaDiCaL version: 2.1.3
% 1.31/0.35  % (3247117)Termination reason: Instruction limit
% 1.31/0.35  % (3247117)Termination phase: Saturation
% 1.31/0.35  % (3247117)Time elapsed: 0.051 s
% 1.31/0.35  % (3247117)Peak memory usage: 14 MB
% 1.31/0.35  % (3247117)Instructions burned: 162 (million)
% 1.31/0.35  % TRYING [3]
% 1.31/0.35  % TRYING [5]
% 1.31/0.35  % (3247131)ott-21_1_sil=16000:fs=off:random_seed=483767224:i=180:av=off:fsr=off_2999 on theBenchmark for (2999ds/180Mi)
% 1.31/0.35  % TRYING [4]
% 1.31/0.35  % (3247126)Instruction limit reached! 
% 1.31/0.35  % (3247126)------------------------------
% 1.31/0.35  % (3247126)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.31/0.35  % (3247126)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.31/0.35  % (3247126)CaDiCaL version: 2.1.3
% 1.31/0.35  % (3247126)Termination reason: Instruction limit
% 1.31/0.35  % (3247126)Termination phase: Saturation
% 1.31/0.35  % (3247126)Time elapsed: 0.037 s
% 1.31/0.35  % (3247126)Peak memory usage: 13 MB
% 1.31/0.35  % (3247126)Instructions burned: 135 (million)
% 1.31/0.35  % (3247133)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=1039019321:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 1.31/0.35  % TRYING [5]
% 1.31/0.35  % (3247131)Instruction limit reached! 
% 1.31/0.35  % (3247131)------------------------------
% 1.31/0.35  % (3247131)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.31/0.35  % (3247131)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.31/0.35  % (3247131)CaDiCaL version: 2.1.3
% 1.31/0.35  % (3247131)Termination reason: Instruction limit
% 1.31/0.35  % (3247131)Termination phase: Saturation
% 1.31/0.35  % (3247131)Time elapsed: 0.049 s
% 1.31/0.35  % (3247131)Peak memory usage: 13 MB
% 1.31/0.35  % (3247131)Instructions burned: 180 (million)
% 1.31/0.35  % (3247135)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=1727556702:fmbsr=1.3:i=865:ins=25_2998 on theBenchmark for (2998ds/865Mi)
% 1.31/0.35  % TRYING [1]
% 1.31/0.35  % TRYING [2]
% 1.31/0.35  % TRYING [3]
% 1.31/0.35  % TRYING [6]
% 1.31/0.35  % TRYING [4]
% 1.31/0.35  % (3247133) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3247106-3247133"...
% 1.31/0.35  % (3247133)...printing done.
% 1.31/0.35  % (3247133)Refutation found. Thanks to Tanya!
% 1.31/0.35  % SZS status Unsatisfiable for theBenchmark
% 1.31/0.35  % SZS output start Proof for theBenchmark
% See solution above
% 1.31/0.35  % (3247133)------------------------------
% 1.31/0.35  % (3247133)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.31/0.35  % (3247133)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.31/0.35  % (3247133)CaDiCaL version: 2.1.3
% 1.31/0.35  % (3247133)Termination reason: Refutation
% 1.31/0.35  % (3247133)Time elapsed: 0.096 s
% 1.31/0.35  % (3247133)Peak memory usage: 14 MB
% 1.31/0.35  % (3247133)Instructions burned: 280 (million)
% 1.31/0.35  % (3247106)Success in time 0.221 s
% 1.31/0.35  % Vampire exiting
%------------------------------------------------------------------------------