↑ Up

Vampire---5.0.1.UNS-Ref.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : SWC120-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n014.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 01:02:32 PM UTC 2026

% Result   : Unsatisfiable 3.11s 1.36s
% Output   : Refutation 3.84s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :   29
% Syntax   : Number of formulae    :  131 (  22 unt;  12 def)
%            Number of atoms       :  330 (  48 equ)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :  370 ( 171   ~; 187   |;   0   &)
%                                         (  12 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   18 (  16 usr;  13 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   5 con; 0-2 aty)
%            Number of variables   :   30 (   0 sgn  30   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f8,axiom,
    ssList(nil),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause8) ).

fof(f74,axiom,
    ! [X0] :
      ( ~ ssList(X0)
      | app(nil,X0) = X0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause74) ).

fof(f75,axiom,
    ! [X0] :
      ( ssList(tl(X0))
      | ~ ssList(X0)
      | nil = X0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause75) ).

fof(f76,axiom,
    ! [X0] :
      ( ssItem(hd(X0))
      | ~ ssList(X0)
      | nil = X0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause76) ).

fof(f85,axiom,
    ! [X0,X1] :
      ( ssList(app(X1,X0))
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause85) ).

fof(f100,axiom,
    ! [X0,X1] :
      ( cons(X0,X1) != X1
      | ~ ssItem(X0)
      | ~ ssList(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause99) ).

fof(f101,axiom,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | neq(X1,X0)
      | X1 = X0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',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/theBenchmark.p',clause104) ).

fof(f118,axiom,
    ! [X0,X1] :
      ( X0 != X1
      | ~ neq(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause115) ).

fof(f187,axiom,
    ! [X2,X3,X0,X1] :
      ( app(app(X0,X1),X2) != X3
      | ~ ssList(X2)
      | ~ ssList(X0)
      | ~ ssList(X1)
      | ~ ssList(X3)
      | segmentP(X3,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause173) ).

fof(f202,negated_conjecture,
    ssList(sk3),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_3) ).

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,
    ( neq(sk2,nil)
    | neq(sk2,nil) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).

fof(f210,negated_conjecture,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | sk4 = X0
      | ~ ssList(X1)
      | tl(sk4) != X1
      | app(sk3,X1) != X0
      | ~ neq(nil,sk4)
      | ~ neq(sk4,nil) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_11) ).

fof(f211,negated_conjecture,
    ( ~ neq(sk1,nil)
    | ~ segmentP(sk2,sk1)
    | ~ neq(sk4,nil) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_12) ).

fof(f214,plain,
    ( neq(sk4,nil)
    | neq(sk4,nil) ),
    inference(definition_unfolding,[],[f206,f204,f204]) ).

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

fof(f221,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | sk4 = X0
      | ~ ssList(tl(sk4))
      | app(sk3,tl(sk4)) != X0
      | ~ neq(nil,sk4)
      | ~ neq(sk4,nil) ),
    inference(equality_resolution,[],[f210]) ).

fof(f222,plain,
    ( ~ ssList(app(sk3,tl(sk4)))
    | sk4 = app(sk3,tl(sk4))
    | ~ ssList(tl(sk4))
    | ~ neq(nil,sk4)
    | ~ neq(sk4,nil) ),
    inference(equality_resolution,[],[f221]) ).

fof(f224,plain,
    ! [X1] :
      ( ~ neq(X1,X1)
      | ~ ssList(X1)
      | ~ ssList(X1) ),
    inference(equality_resolution,[],[f118]) ).

fof(f227,plain,
    ! [X2,X0,X1] :
      ( segmentP(app(app(X0,X1),X2),X1)
      | ~ ssList(X0)
      | ~ ssList(X1)
      | ~ ssList(app(app(X0,X1),X2))
      | ~ ssList(X2) ),
    inference(equality_resolution,[],[f187]) ).

fof(f230,plain,
    ! [X1] :
      ( ~ neq(X1,X1)
      | ~ ssList(X1) ),
    inference(duplicate_literal_removal,[],[f224]) ).

fof(f232,plain,
    neq(sk4,nil),
    inference(duplicate_literal_removal,[],[f214]) ).

fof(f234,definition,
    ( spl0_1
  <=> neq(sk4,nil) ),
    introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).

fof(f235,plain,
    ( neq(sk4,nil)
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f234]) ).

fof(f238,definition,
    ( spl0_2
  <=> segmentP(sk4,sk3) ),
    introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).

fof(f240,plain,
    ( ~ segmentP(sk4,sk3)
    | spl0_2 ),
    inference(avatar_component_clause,[],[f238]) ).

fof(f242,definition,
    ( spl0_3
  <=> neq(sk3,nil) ),
    introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).

fof(f244,plain,
    ( ~ neq(sk3,nil)
    | spl0_3 ),
    inference(avatar_component_clause,[],[f242]) ).

fof(f245,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f218,f242,f238,f234]) ).

fof(f247,definition,
    ( spl0_4
  <=> neq(nil,sk4) ),
    introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).

fof(f248,plain,
    ( neq(nil,sk4)
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f247]) ).

fof(f249,plain,
    ( ~ neq(nil,sk4)
    | spl0_4 ),
    inference(avatar_component_clause,[],[f247]) ).

fof(f251,definition,
    ( spl0_5
  <=> ssList(tl(sk4)) ),
    introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).

fof(f252,plain,
    ( ssList(tl(sk4))
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f251]) ).

fof(f253,plain,
    ( ~ ssList(tl(sk4))
    | spl0_5 ),
    inference(avatar_component_clause,[],[f251]) ).

fof(f255,definition,
    ( spl0_6
  <=> sk4 = app(sk3,tl(sk4)) ),
    introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).

fof(f257,plain,
    ( sk4 = app(sk3,tl(sk4))
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f255]) ).

fof(f259,definition,
    ( spl0_7
  <=> ssList(app(sk3,tl(sk4))) ),
    introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).

fof(f261,plain,
    ( ~ ssList(app(sk3,tl(sk4)))
    | spl0_7 ),
    inference(avatar_component_clause,[],[f259]) ).

fof(f262,plain,
    ( ~ spl0_1
    | ~ spl0_4
    | ~ spl0_5
    | spl0_6
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f222,f259,f255,f251,f247,f234]) ).

fof(f265,plain,
    spl0_1,
    inference(avatar_split_clause,[],[f232,f234]) ).

fof(f269,plain,
    sk3 = app(nil,sk3),
    inference(resolution,[],[f74,f202]) ).

fof(f278,plain,
    ( ~ ssList(sk3)
    | ~ ssList(tl(sk4))
    | spl0_7 ),
    inference(resolution,[],[f85,f261]) ).

fof(f285,plain,
    ( ~ ssList(tl(sk4))
    | spl0_7 ),
    inference(forward_subsumption_resolution,[],[f278,f202]) ).

fof(f286,plain,
    ( ~ spl0_5
    | spl0_7 ),
    inference(avatar_split_clause,[],[f285,f259,f251]) ).

fof(f287,plain,
    ( ~ ssList(sk4)
    | nil = sk4
    | spl0_5 ),
    inference(resolution,[],[f253,f75]) ).

fof(f288,plain,
    ( nil = sk4
    | spl0_5 ),
    inference(forward_subsumption_resolution,[],[f287,f203]) ).

fof(f292,plain,
    ( neq(nil,nil)
    | ~ spl0_1
    | spl0_5 ),
    inference(superposition,[],[f235,f288]) ).

fof(f299,plain,
    ( ~ ssList(nil)
    | ~ spl0_1
    | spl0_5 ),
    inference(resolution,[],[f292,f230]) ).

fof(f300,plain,
    ( $false
    | ~ spl0_1
    | spl0_5 ),
    inference(forward_subsumption_resolution,[],[f299,f8]) ).

fof(f301,plain,
    ( ~ spl0_1
    | spl0_5 ),
    inference(avatar_contradiction_clause,[],[f300]) ).

fof(f302,plain,
    ( tl(sk4) = app(nil,tl(sk4))
    | ~ spl0_5 ),
    inference(resolution,[],[f252,f74]) ).

fof(f314,plain,
    ( ~ ssList(nil)
    | ~ ssList(sk4)
    | nil = sk4
    | spl0_4 ),
    inference(resolution,[],[f102,f249]) ).

fof(f317,plain,
    ( ~ ssList(sk4)
    | nil = sk4
    | spl0_4 ),
    inference(forward_subsumption_resolution,[],[f314,f8]) ).

fof(f318,plain,
    ( nil = sk4
    | spl0_4 ),
    inference(forward_subsumption_resolution,[],[f317,f203]) ).

fof(f320,plain,
    ( neq(nil,nil)
    | ~ spl0_1
    | spl0_4 ),
    inference(superposition,[],[f235,f318]) ).

fof(f322,plain,
    ( ~ neq(nil,nil)
    | spl0_4 ),
    inference(superposition,[],[f249,f318]) ).

fof(f331,plain,
    ( $false
    | ~ spl0_1
    | spl0_4 ),
    inference(forward_subsumption_resolution,[],[f320,f322]) ).

fof(f332,plain,
    ( ~ spl0_1
    | spl0_4 ),
    inference(avatar_contradiction_clause,[],[f331]) ).

fof(f350,plain,
    ( sk4 = cons(hd(sk4),tl(sk4))
    | nil = sk4 ),
    inference(resolution,[],[f107,f203]) ).

fof(f352,definition,
    ( spl0_8
  <=> nil = sk4 ),
    introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).

fof(f353,plain,
    ( nil != sk4
    | spl0_8 ),
    inference(avatar_component_clause,[],[f352]) ).

fof(f354,plain,
    ( nil = sk4
    | ~ spl0_8 ),
    inference(avatar_component_clause,[],[f352]) ).

fof(f356,definition,
    ( spl0_9
  <=> sk4 = cons(hd(sk4),tl(sk4)) ),
    introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).

fof(f358,plain,
    ( sk4 = cons(hd(sk4),tl(sk4))
    | ~ spl0_9 ),
    inference(avatar_component_clause,[],[f356]) ).

fof(f359,plain,
    ( spl0_8
    | spl0_9 ),
    inference(avatar_split_clause,[],[f350,f356,f352]) ).

fof(f361,definition,
    ( spl0_10
  <=> nil = sk3 ),
    introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).

fof(f362,plain,
    ( nil != sk3
    | spl0_10 ),
    inference(avatar_component_clause,[],[f361]) ).

fof(f363,plain,
    ( nil = sk3
    | ~ spl0_10 ),
    inference(avatar_component_clause,[],[f361]) ).

fof(f386,plain,
    ( neq(nil,nil)
    | ~ spl0_4
    | ~ spl0_8 ),
    inference(superposition,[],[f248,f354]) ).

fof(f415,plain,
    ( sk4 = app(nil,tl(sk4))
    | ~ spl0_6
    | ~ spl0_10 ),
    inference(superposition,[],[f257,f363]) ).

fof(f437,plain,
    ( ~ ssList(nil)
    | ~ spl0_4
    | ~ spl0_8 ),
    inference(resolution,[],[f386,f230]) ).

fof(f438,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_8 ),
    inference(forward_subsumption_resolution,[],[f437,f8]) ).

fof(f439,plain,
    ( ~ spl0_4
    | ~ spl0_8 ),
    inference(avatar_contradiction_clause,[],[f438]) ).

fof(f587,plain,
    ( sk4 != tl(sk4)
    | ~ ssItem(hd(sk4))
    | ~ ssList(tl(sk4))
    | ~ spl0_9 ),
    inference(superposition,[],[f100,f358]) ).

fof(f590,plain,
    ( sk4 != tl(sk4)
    | ~ ssItem(hd(sk4))
    | ~ spl0_5
    | ~ spl0_9 ),
    inference(forward_subsumption_resolution,[],[f587,f252]) ).

fof(f592,definition,
    ( spl0_14
  <=> ssItem(hd(sk4)) ),
    introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).

fof(f594,plain,
    ( ~ ssItem(hd(sk4))
    | spl0_14 ),
    inference(avatar_component_clause,[],[f592]) ).

fof(f596,definition,
    ( spl0_15
  <=> sk4 = tl(sk4) ),
    introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).

fof(f598,plain,
    ( sk4 != tl(sk4)
    | spl0_15 ),
    inference(avatar_component_clause,[],[f596]) ).

fof(f599,plain,
    ( ~ spl0_14
    | ~ spl0_15
    | ~ spl0_5
    | ~ spl0_9 ),
    inference(avatar_split_clause,[],[f590,f356,f251,f596,f592]) ).

fof(f666,plain,
    ( ~ ssList(sk4)
    | nil = sk4
    | spl0_14 ),
    inference(resolution,[],[f594,f76]) ).

fof(f667,plain,
    ( nil = sk4
    | spl0_14 ),
    inference(forward_subsumption_resolution,[],[f666,f203]) ).

fof(f668,plain,
    ( $false
    | spl0_8
    | spl0_14 ),
    inference(forward_subsumption_resolution,[],[f667,f353]) ).

fof(f669,plain,
    ( spl0_8
    | spl0_14 ),
    inference(avatar_contradiction_clause,[],[f668]) ).

fof(f806,plain,
    ! [X0] :
      ( segmentP(app(sk3,X0),sk3)
      | ~ ssList(nil)
      | ~ ssList(sk3)
      | ~ ssList(app(sk3,X0))
      | ~ ssList(X0) ),
    inference(superposition,[],[f227,f269]) ).

fof(f814,plain,
    ! [X0] :
      ( segmentP(app(sk3,X0),sk3)
      | ~ ssList(nil)
      | ~ ssList(sk3)
      | ~ ssList(X0) ),
    inference(forward_subsumption_resolution,[],[f806,f85]) ).

fof(f820,plain,
    ! [X0] :
      ( segmentP(app(sk3,X0),sk3)
      | ~ ssList(sk3)
      | ~ ssList(X0) ),
    inference(forward_subsumption_resolution,[],[f814,f8]) ).

fof(f826,plain,
    ! [X0] :
      ( segmentP(app(sk3,X0),sk3)
      | ~ ssList(X0) ),
    inference(forward_subsumption_resolution,[],[f820,f202]) ).

fof(f890,plain,
    ( ~ ssList(sk3)
    | ~ ssList(nil)
    | nil = sk3
    | spl0_3 ),
    inference(resolution,[],[f244,f102]) ).

fof(f1171,plain,
    ( sk4 = tl(sk4)
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_10 ),
    inference(superposition,[],[f415,f302]) ).

fof(f1187,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_10
    | spl0_15 ),
    inference(forward_subsumption_resolution,[],[f1171,f598]) ).

fof(f1188,plain,
    ( ~ spl0_5
    | ~ spl0_6
    | ~ spl0_10
    | spl0_15 ),
    inference(avatar_contradiction_clause,[],[f1187]) ).

fof(f1202,plain,
    ( ~ ssList(nil)
    | nil = sk3
    | spl0_3 ),
    inference(forward_subsumption_resolution,[],[f890,f202]) ).

fof(f1211,plain,
    ( nil = sk3
    | spl0_3 ),
    inference(forward_subsumption_resolution,[],[f1202,f8]) ).

fof(f1226,plain,
    ( $false
    | spl0_3
    | spl0_10 ),
    inference(forward_subsumption_resolution,[],[f1211,f362]) ).

fof(f1227,plain,
    ( spl0_3
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1226]) ).

fof(f1419,plain,
    ( segmentP(sk4,sk3)
    | ~ ssList(tl(sk4))
    | ~ spl0_6 ),
    inference(superposition,[],[f826,f257]) ).

fof(f1420,plain,
    ( ~ ssList(tl(sk4))
    | spl0_2
    | ~ spl0_6 ),
    inference(forward_subsumption_resolution,[],[f1419,f240]) ).

fof(f1424,plain,
    ( $false
    | spl0_2
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(forward_subsumption_resolution,[],[f1420,f252]) ).

fof(f1425,plain,
    ( spl0_2
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(avatar_contradiction_clause,[],[f1424]) ).

cnf(s1,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(sat_conversion,[],[f245]) ).

cnf(s2,plain,
    ( ~ spl0_1
    | ~ spl0_4
    | ~ spl0_5
    | spl0_6
    | ~ spl0_7 ),
    inference(sat_conversion,[],[f262]) ).

cnf(s5,plain,
    spl0_1,
    inference(sat_conversion,[],[f265]) ).

cnf(s6,plain,
    ( ~ spl0_5
    | spl0_7 ),
    inference(sat_conversion,[],[f286]) ).

cnf(s7,plain,
    ( ~ spl0_1
    | spl0_5 ),
    inference(sat_conversion,[],[f301]) ).

cnf(s8,plain,
    ( ~ spl0_1
    | spl0_4 ),
    inference(sat_conversion,[],[f332]) ).

cnf(s9,plain,
    ( spl0_8
    | spl0_9 ),
    inference(sat_conversion,[],[f359]) ).

cnf(s13,plain,
    ( ~ spl0_4
    | ~ spl0_8 ),
    inference(sat_conversion,[],[f439]) ).

cnf(s16,plain,
    ( ~ spl0_5
    | ~ spl0_9
    | ~ spl0_14
    | ~ spl0_15 ),
    inference(sat_conversion,[],[f599]) ).

cnf(s17,plain,
    ( spl0_8
    | spl0_14 ),
    inference(sat_conversion,[],[f669]) ).

cnf(s43,plain,
    ( ~ spl0_5
    | ~ spl0_6
    | ~ spl0_10
    | spl0_15 ),
    inference(sat_conversion,[],[f1188]) ).

cnf(s47,plain,
    ( spl0_3
    | spl0_10 ),
    inference(sat_conversion,[],[f1227]) ).

cnf(s48,plain,
    ( spl0_2
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(sat_conversion,[],[f1425]) ).

cnf(s49,plain,
    spl0_4,
    inference(rat,[],[s8,s5]) ).

cnf(s50,plain,
    spl0_5,
    inference(rat,[],[s7,s5]) ).

cnf(s51,plain,
    ~ spl0_8,
    inference(rat,[],[s13,s49]) ).

cnf(s52,plain,
    spl0_7,
    inference(rat,[],[s6,s50]) ).

cnf(s53,plain,
    spl0_14,
    inference(rat,[],[s17,s51]) ).

cnf(s54,plain,
    spl0_9,
    inference(rat,[],[s9,s51]) ).

cnf(s55,plain,
    ~ spl0_15,
    inference(rat,[],[s16,s53,s50,s54]) ).

cnf(s56,plain,
    spl0_6,
    inference(rat,[],[s2,s52,s50,s49,s5]) ).

cnf(s57,plain,
    ~ spl0_10,
    inference(rat,[],[s43,s55,s50,s56]) ).

cnf(s58,plain,
    spl0_2,
    inference(rat,[],[s48,s50,s56]) ).

cnf(s59,plain,
    spl0_3,
    inference(rat,[],[s47,s57]) ).

cnf(s65,plain,
    $false,
    inference(rat,[],[s1,s59,s58,s5]) ).

fof(f1428,plain,
    $false,
    inference(avatar_sat_refutation,[],[s65]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWC120-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.39  % Computer : n014.cluster.edu
% 0.13/0.39  % Model    : x86_64 x86_64
% 0.13/0.39  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.39  % Memory   : 8046.5625MB
% 0.13/0.39  % OS       : Linux 6.8.0-71-generic
% 0.13/0.39  % CPULimit : 300
% 0.13/0.39  % WCLimit  : 300
% 0.13/0.39  % DateTime : Mon Sep 28 07:59:31 UTC 2026
% 0.13/0.39  % CPUTime  : 
% 0.13/0.39  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.43  Running first-order theorem proving
% 0.13/0.43  Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.11/1.36  % (1619083)Input is clausal, will run a generic CNF schedule.
% 3.11/1.36  % (1619163)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2690355059:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.11/1.36  % (1619166)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1451726565:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.11/1.36  % (1619162)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1237964466:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.11/1.36  % (1619164)lrs+10_1_sil=8000:sp=occurrence:random_seed=2523123342:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.11/1.36  % (1619168)dis-21_1_sil=8000:lcm=predicate:random_seed=210612515:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 3.11/1.36  % (1619164)First to succeed.
% 3.11/1.36  % (1619164)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1619083"
% 3.11/1.36  % (1619165)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=853721558:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.11/1.36  % (1619158)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=3658660099:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.11/1.36  % (1619168)Instruction limit reached! 
% 3.11/1.36  % (1619168)------------------------------
% 3.11/1.36  % (1619168)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.11/1.36  % (1619168)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.11/1.36  % (1619168)CaDiCaL version: 2.1.3
% 3.11/1.36  % (1619168)Termination reason: Instruction limit
% 3.11/1.36  % (1619168)Termination phase: Saturation
% 3.11/1.36  % (1619168)Time elapsed: 0.057 s
% 3.11/1.36  % (1619168)Peak memory usage: 89 MB
% 3.11/1.36  % (1619168)Instructions burned: 117 (million)
% 3.11/1.36  % (1619165)Also succeeded, but the first one will report.
% 3.11/1.36  % (1619166)Also succeeded, but the first one will report.
% 3.11/1.36  % (1619216)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=2618795271:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 3.11/1.36  % (1619164)Refutation found. Thanks to Tanya!
% 3.11/1.36  % SZS status Unsatisfiable for theBenchmark
% 3.11/1.36  % SZS output start Proof for theBenchmark
% See solution above
% 3.84/1.53  % (1619164)------------------------------
% 3.84/1.53  % (1619164)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.84/1.53  % (1619164)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.84/1.53  % (1619164)CaDiCaL version: 2.1.3
% 3.84/1.53  % (1619164)Termination reason: Refutation
% 3.84/1.53  % (1619164)Time elapsed: 0.030 s
% 3.84/1.53  % (1619164)Peak memory usage: 90 MB
% 3.84/1.53  % (1619164)Instructions burned: 43 (million)
% 3.84/1.53  % (1619164)------------------------------
% 3.84/1.53  % (1619164)------------------------------
% 3.84/1.53  % (1619083)Success in time 0.475 s
% 3.84/1.53  % Vampire exiting
%------------------------------------------------------------------------------