TSTP Solution File: GRP709-1 by Vampire-SAT---4.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.9
% Problem  : GRP709-1 : TPTP v8.2.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire %s %d SAT

% Computer : n027.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Mon Jun 24 07:25:35 EDT 2024

% Result   : Unsatisfiable 1.11s 0.55s
% Output   : Refutation 1.11s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   65
% Syntax   : Number of formulae    :  206 (  21 unt;   0 def)
%            Number of atoms       :  525 ( 148 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :  584 ( 265   ~; 264   |;   0   &)
%                                         (  55 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    7 (   2 avg)
%            Number of predicates  :   57 (  55 usr;  56 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   4 con; 0-2 aty)
%            Number of variables   :  232 ( 232   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2671,plain,
    $false,
    inference(avatar_sat_refutation,[],[f15,f19,f23,f27,f31,f35,f39,f43,f49,f69,f86,f125,f129,f133,f142,f146,f150,f154,f158,f162,f166,f215,f219,f223,f227,f232,f236,f240,f244,f446,f501,f505,f509,f513,f517,f521,f525,f529,f614,f1555,f1559,f1564,f1650,f2034,f2353,f2384,f2389,f2393,f2641,f2645,f2649,f2653,f2657,f2661,f2665,f2670]) ).

fof(f2670,plain,
    ( ~ spl0_8
    | ~ spl0_24
    | spl0_47 ),
    inference(avatar_contradiction_clause,[],[f2669]) ).

fof(f2669,plain,
    ( $false
    | ~ spl0_8
    | ~ spl0_24
    | spl0_47 ),
    inference(trivial_inequality_removal,[],[f2668]) ).

fof(f2668,plain,
    ( mult(a,mult(b,mult(op_c,op_c))) != mult(a,mult(b,mult(op_c,op_c)))
    | ~ spl0_8
    | ~ spl0_24
    | spl0_47 ),
    inference(forward_demodulation,[],[f2667,f222]) ).

fof(f222,plain,
    ( ! [X0,X1] : mult(X0,mult(X1,op_c)) = mult(op_c,mult(X0,X1))
    | ~ spl0_24 ),
    inference(avatar_component_clause,[],[f221]) ).

fof(f221,plain,
    ( spl0_24
  <=> ! [X0,X1] : mult(X0,mult(X1,op_c)) = mult(op_c,mult(X0,X1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).

fof(f2667,plain,
    ( mult(a,mult(op_c,mult(b,op_c))) != mult(a,mult(b,mult(op_c,op_c)))
    | ~ spl0_8
    | ~ spl0_24
    | spl0_47 ),
    inference(forward_demodulation,[],[f2666,f42]) ).

fof(f42,plain,
    ( ! [X0] : mult(op_c,X0) = mult(X0,op_c)
    | ~ spl0_8 ),
    inference(avatar_component_clause,[],[f41]) ).

fof(f41,plain,
    ( spl0_8
  <=> ! [X0] : mult(op_c,X0) = mult(X0,op_c) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f2666,plain,
    ( mult(a,mult(b,mult(op_c,op_c))) != mult(a,mult(mult(b,op_c),op_c))
    | ~ spl0_24
    | spl0_47 ),
    inference(superposition,[],[f2388,f222]) ).

fof(f2388,plain,
    ( mult(a,mult(b,mult(op_c,op_c))) != mult(op_c,mult(a,mult(b,op_c)))
    | spl0_47 ),
    inference(avatar_component_clause,[],[f2386]) ).

fof(f2386,plain,
    ( spl0_47
  <=> mult(a,mult(b,mult(op_c,op_c))) = mult(op_c,mult(a,mult(b,op_c))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_47])]) ).

fof(f2665,plain,
    ( spl0_55
    | ~ spl0_7
    | ~ spl0_22 ),
    inference(avatar_split_clause,[],[f259,f213,f37,f2663]) ).

fof(f2663,plain,
    ( spl0_55
  <=> ! [X0] : mult(op_c,X0) = rd(mult(X0,mult(op_c,op_c)),op_c) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_55])]) ).

fof(f37,plain,
    ( spl0_7
  <=> ! [X0,X1] : rd(mult(X0,X1),X1) = X0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f213,plain,
    ( spl0_22
  <=> ! [X0] : mult(X0,mult(op_c,op_c)) = mult(mult(op_c,X0),op_c) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).

fof(f259,plain,
    ( ! [X0] : mult(op_c,X0) = rd(mult(X0,mult(op_c,op_c)),op_c)
    | ~ spl0_7
    | ~ spl0_22 ),
    inference(superposition,[],[f38,f214]) ).

fof(f214,plain,
    ( ! [X0] : mult(X0,mult(op_c,op_c)) = mult(mult(op_c,X0),op_c)
    | ~ spl0_22 ),
    inference(avatar_component_clause,[],[f213]) ).

fof(f38,plain,
    ( ! [X0,X1] : rd(mult(X0,X1),X1) = X0
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f37]) ).

fof(f2661,plain,
    ( spl0_54
    | ~ spl0_18
    | ~ spl0_22 ),
    inference(avatar_split_clause,[],[f255,f213,f152,f2659]) ).

fof(f2659,plain,
    ( spl0_54
  <=> ! [X0] : op_c = rd(mult(X0,mult(op_c,op_c)),mult(op_c,X0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_54])]) ).

fof(f152,plain,
    ( spl0_18
  <=> ! [X0] : op_c = rd(mult(X0,op_c),X0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).

fof(f255,plain,
    ( ! [X0] : op_c = rd(mult(X0,mult(op_c,op_c)),mult(op_c,X0))
    | ~ spl0_18
    | ~ spl0_22 ),
    inference(superposition,[],[f153,f214]) ).

fof(f153,plain,
    ( ! [X0] : op_c = rd(mult(X0,op_c),X0)
    | ~ spl0_18 ),
    inference(avatar_component_clause,[],[f152]) ).

fof(f2657,plain,
    ( spl0_53
    | ~ spl0_19
    | ~ spl0_22 ),
    inference(avatar_split_clause,[],[f254,f213,f156,f2655]) ).

fof(f2655,plain,
    ( spl0_53
  <=> ! [X0] : mult(op_c,X0) = ld(op_c,mult(X0,mult(op_c,op_c))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_53])]) ).

fof(f156,plain,
    ( spl0_19
  <=> ! [X0] : ld(op_c,mult(X0,op_c)) = X0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).

fof(f254,plain,
    ( ! [X0] : mult(op_c,X0) = ld(op_c,mult(X0,mult(op_c,op_c)))
    | ~ spl0_19
    | ~ spl0_22 ),
    inference(superposition,[],[f157,f214]) ).

fof(f157,plain,
    ( ! [X0] : ld(op_c,mult(X0,op_c)) = X0
    | ~ spl0_19 ),
    inference(avatar_component_clause,[],[f156]) ).

fof(f2653,plain,
    ( spl0_52
    | ~ spl0_8
    | ~ spl0_22 ),
    inference(avatar_split_clause,[],[f251,f213,f41,f2651]) ).

fof(f2651,plain,
    ( spl0_52
  <=> ! [X0] : mult(X0,mult(op_c,op_c)) = mult(op_c,mult(op_c,X0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_52])]) ).

fof(f251,plain,
    ( ! [X0] : mult(X0,mult(op_c,op_c)) = mult(op_c,mult(op_c,X0))
    | ~ spl0_8
    | ~ spl0_22 ),
    inference(superposition,[],[f214,f42]) ).

fof(f2649,plain,
    ( spl0_51
    | ~ spl0_4
    | ~ spl0_22 ),
    inference(avatar_split_clause,[],[f248,f213,f25,f2647]) ).

fof(f2647,plain,
    ( spl0_51
  <=> ! [X0] : mult(X0,op_c) = mult(ld(op_c,X0),mult(op_c,op_c)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_51])]) ).

fof(f25,plain,
    ( spl0_4
  <=> ! [X0,X1] : mult(X0,ld(X0,X1)) = X1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f248,plain,
    ( ! [X0] : mult(X0,op_c) = mult(ld(op_c,X0),mult(op_c,op_c))
    | ~ spl0_4
    | ~ spl0_22 ),
    inference(superposition,[],[f214,f26]) ).

fof(f26,plain,
    ( ! [X0,X1] : mult(X0,ld(X0,X1)) = X1
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f25]) ).

fof(f2645,plain,
    ( spl0_50
    | ~ spl0_10
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f193,f156,f67,f2643]) ).

fof(f2643,plain,
    ( spl0_50
  <=> ! [X0,X1] : mult(X0,X1) = ld(op_c,mult(X0,mult(X1,op_c))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_50])]) ).

fof(f67,plain,
    ( spl0_10
  <=> ! [X0,X1] : mult(X0,mult(X1,op_c)) = mult(mult(X0,X1),op_c) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f193,plain,
    ( ! [X0,X1] : mult(X0,X1) = ld(op_c,mult(X0,mult(X1,op_c)))
    | ~ spl0_10
    | ~ spl0_19 ),
    inference(superposition,[],[f157,f68]) ).

fof(f68,plain,
    ( ! [X0,X1] : mult(X0,mult(X1,op_c)) = mult(mult(X0,X1),op_c)
    | ~ spl0_10 ),
    inference(avatar_component_clause,[],[f67]) ).

fof(f2641,plain,
    ( spl0_49
    | ~ spl0_10
    | ~ spl0_18 ),
    inference(avatar_split_clause,[],[f184,f152,f67,f2639]) ).

fof(f2639,plain,
    ( spl0_49
  <=> ! [X0,X1] : op_c = rd(mult(X0,mult(X1,op_c)),mult(X0,X1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_49])]) ).

fof(f184,plain,
    ( ! [X0,X1] : op_c = rd(mult(X0,mult(X1,op_c)),mult(X0,X1))
    | ~ spl0_10
    | ~ spl0_18 ),
    inference(superposition,[],[f153,f68]) ).

fof(f2393,plain,
    ( spl0_48
    | ~ spl0_9
    | ~ spl0_28 ),
    inference(avatar_split_clause,[],[f416,f238,f47,f2391]) ).

fof(f2391,plain,
    ( spl0_48
  <=> ! [X0] : mult(X0,op_c) = mult(unit,mult(op_c,X0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_48])]) ).

fof(f47,plain,
    ( spl0_9
  <=> ! [X0] : ld(unit,X0) = X0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f238,plain,
    ( spl0_28
  <=> ! [X0,X1] : mult(X1,op_c) = mult(X0,mult(op_c,ld(X0,X1))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).

fof(f416,plain,
    ( ! [X0] : mult(X0,op_c) = mult(unit,mult(op_c,X0))
    | ~ spl0_9
    | ~ spl0_28 ),
    inference(superposition,[],[f239,f48]) ).

fof(f48,plain,
    ( ! [X0] : ld(unit,X0) = X0
    | ~ spl0_9 ),
    inference(avatar_component_clause,[],[f47]) ).

fof(f239,plain,
    ( ! [X0,X1] : mult(X1,op_c) = mult(X0,mult(op_c,ld(X0,X1)))
    | ~ spl0_28 ),
    inference(avatar_component_clause,[],[f238]) ).

fof(f2389,plain,
    ( ~ spl0_47
    | ~ spl0_24
    | ~ spl0_29
    | spl0_39 ),
    inference(avatar_split_clause,[],[f1566,f611,f242,f221,f2386]) ).

fof(f242,plain,
    ( spl0_29
  <=> ! [X0,X1] : mult(mult(X0,X0),X1) = mult(X0,mult(X0,X1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).

fof(f611,plain,
    ( spl0_39
  <=> mult(mult(op_c,op_c),mult(a,b)) = mult(a,mult(b,mult(op_c,op_c))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).

fof(f1566,plain,
    ( mult(a,mult(b,mult(op_c,op_c))) != mult(op_c,mult(a,mult(b,op_c)))
    | ~ spl0_24
    | ~ spl0_29
    | spl0_39 ),
    inference(forward_demodulation,[],[f1565,f222]) ).

fof(f1565,plain,
    ( mult(a,mult(b,mult(op_c,op_c))) != mult(op_c,mult(op_c,mult(a,b)))
    | ~ spl0_29
    | spl0_39 ),
    inference(superposition,[],[f613,f243]) ).

fof(f243,plain,
    ( ! [X0,X1] : mult(mult(X0,X0),X1) = mult(X0,mult(X0,X1))
    | ~ spl0_29 ),
    inference(avatar_component_clause,[],[f242]) ).

fof(f613,plain,
    ( mult(mult(op_c,op_c),mult(a,b)) != mult(a,mult(b,mult(op_c,op_c)))
    | spl0_39 ),
    inference(avatar_component_clause,[],[f611]) ).

fof(f2384,plain,
    ( spl0_46
    | ~ spl0_3
    | ~ spl0_24 ),
    inference(avatar_split_clause,[],[f297,f221,f21,f2382]) ).

fof(f2382,plain,
    ( spl0_46
  <=> ! [X0] : mult(op_c,X0) = mult(unit,mult(X0,op_c)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_46])]) ).

fof(f21,plain,
    ( spl0_3
  <=> ! [X0] : mult(unit,X0) = X0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f297,plain,
    ( ! [X0] : mult(op_c,X0) = mult(unit,mult(X0,op_c))
    | ~ spl0_3
    | ~ spl0_24 ),
    inference(superposition,[],[f222,f22]) ).

fof(f22,plain,
    ( ! [X0] : mult(unit,X0) = X0
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f21]) ).

fof(f2353,plain,
    ( spl0_45
    | ~ spl0_4
    | ~ spl0_21 ),
    inference(avatar_split_clause,[],[f207,f164,f25,f2351]) ).

fof(f2351,plain,
    ( spl0_45
  <=> ! [X0] : op_c = ld(ld(op_c,X0),X0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_45])]) ).

fof(f164,plain,
    ( spl0_21
  <=> ! [X0] : op_c = ld(X0,mult(op_c,X0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).

fof(f207,plain,
    ( ! [X0] : op_c = ld(ld(op_c,X0),X0)
    | ~ spl0_4
    | ~ spl0_21 ),
    inference(superposition,[],[f165,f26]) ).

fof(f165,plain,
    ( ! [X0] : op_c = ld(X0,mult(op_c,X0))
    | ~ spl0_21 ),
    inference(avatar_component_clause,[],[f164]) ).

fof(f2034,plain,
    ( spl0_44
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f110,f84,f2032]) ).

fof(f2032,plain,
    ( spl0_44
  <=> ! [X0,X3,X2,X1] : mult(mult(X2,mult(X0,mult(X1,mult(X0,X2)))),X3) = mult(X2,mult(X0,mult(X1,mult(X0,mult(X2,X3))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_44])]) ).

fof(f84,plain,
    ( spl0_11
  <=> ! [X2,X0,X1] : mult(X0,mult(X1,mult(X0,X2))) = mult(mult(X0,mult(X1,X0)),X2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f110,plain,
    ( ! [X2,X3,X0,X1] : mult(mult(X2,mult(X0,mult(X1,mult(X0,X2)))),X3) = mult(X2,mult(X0,mult(X1,mult(X0,mult(X2,X3)))))
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f91,f85]) ).

fof(f85,plain,
    ( ! [X2,X0,X1] : mult(X0,mult(X1,mult(X0,X2))) = mult(mult(X0,mult(X1,X0)),X2)
    | ~ spl0_11 ),
    inference(avatar_component_clause,[],[f84]) ).

fof(f91,plain,
    ( ! [X2,X3,X0,X1] : mult(X2,mult(mult(X0,mult(X1,X0)),mult(X2,X3))) = mult(mult(X2,mult(X0,mult(X1,mult(X0,X2)))),X3)
    | ~ spl0_11 ),
    inference(superposition,[],[f85,f85]) ).

fof(f1650,plain,
    ( spl0_43
    | ~ spl0_8
    | ~ spl0_24
    | ~ spl0_41 ),
    inference(avatar_split_clause,[],[f1560,f1557,f221,f41,f1648]) ).

fof(f1648,plain,
    ( spl0_43
  <=> ! [X2,X0,X1] : mult(mult(op_c,mult(X0,mult(X1,op_c))),X2) = mult(op_c,mult(op_c,mult(mult(X0,X1),X2))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_43])]) ).

fof(f1557,plain,
    ( spl0_41
  <=> ! [X2,X0,X1] : mult(op_c,mult(mult(X0,X1),mult(op_c,X2))) = mult(mult(op_c,mult(X0,mult(X1,op_c))),X2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).

fof(f1560,plain,
    ( ! [X2,X0,X1] : mult(mult(op_c,mult(X0,mult(X1,op_c))),X2) = mult(op_c,mult(op_c,mult(mult(X0,X1),X2)))
    | ~ spl0_8
    | ~ spl0_24
    | ~ spl0_41 ),
    inference(forward_demodulation,[],[f1558,f283]) ).

fof(f283,plain,
    ( ! [X0,X1] : mult(op_c,mult(X1,X0)) = mult(X1,mult(op_c,X0))
    | ~ spl0_8
    | ~ spl0_24 ),
    inference(superposition,[],[f222,f42]) ).

fof(f1558,plain,
    ( ! [X2,X0,X1] : mult(op_c,mult(mult(X0,X1),mult(op_c,X2))) = mult(mult(op_c,mult(X0,mult(X1,op_c))),X2)
    | ~ spl0_41 ),
    inference(avatar_component_clause,[],[f1557]) ).

fof(f1564,plain,
    ( spl0_42
    | ~ spl0_8
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f118,f84,f67,f41,f1562]) ).

fof(f1562,plain,
    ( spl0_42
  <=> ! [X2,X0,X1] : mult(mult(X0,mult(X1,X0)),mult(X2,op_c)) = mult(op_c,mult(X0,mult(X1,mult(X0,X2)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).

fof(f118,plain,
    ( ! [X2,X0,X1] : mult(mult(X0,mult(X1,X0)),mult(X2,op_c)) = mult(op_c,mult(X0,mult(X1,mult(X0,X2))))
    | ~ spl0_8
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f102,f42]) ).

fof(f102,plain,
    ( ! [X2,X0,X1] : mult(mult(X0,mult(X1,X0)),mult(X2,op_c)) = mult(mult(X0,mult(X1,mult(X0,X2))),op_c)
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(superposition,[],[f68,f85]) ).

fof(f1559,plain,
    ( spl0_41
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f90,f84,f67,f1557]) ).

fof(f90,plain,
    ( ! [X2,X0,X1] : mult(op_c,mult(mult(X0,X1),mult(op_c,X2))) = mult(mult(op_c,mult(X0,mult(X1,op_c))),X2)
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(superposition,[],[f85,f68]) ).

fof(f1555,plain,
    ( spl0_40
    | ~ spl0_4
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f88,f84,f25,f1553]) ).

fof(f1553,plain,
    ( spl0_40
  <=> ! [X2,X0,X1] : mult(ld(X0,X1),mult(X0,mult(ld(X0,X1),X2))) = mult(mult(ld(X0,X1),X1),X2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_40])]) ).

fof(f88,plain,
    ( ! [X2,X0,X1] : mult(ld(X0,X1),mult(X0,mult(ld(X0,X1),X2))) = mult(mult(ld(X0,X1),X1),X2)
    | ~ spl0_4
    | ~ spl0_11 ),
    inference(superposition,[],[f85,f26]) ).

fof(f614,plain,
    ( ~ spl0_39
    | spl0_1
    | ~ spl0_8
    | ~ spl0_11
    | ~ spl0_24
    | ~ spl0_29 ),
    inference(avatar_split_clause,[],[f487,f242,f221,f84,f41,f12,f611]) ).

fof(f12,plain,
    ( spl0_1
  <=> mult(mult(op_c,op_c),mult(a,b)) = mult(mult(mult(op_c,op_c),a),b) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f487,plain,
    ( mult(mult(op_c,op_c),mult(a,b)) != mult(a,mult(b,mult(op_c,op_c)))
    | spl0_1
    | ~ spl0_8
    | ~ spl0_11
    | ~ spl0_24
    | ~ spl0_29 ),
    inference(forward_demodulation,[],[f486,f222]) ).

fof(f486,plain,
    ( mult(mult(op_c,op_c),mult(a,b)) != mult(a,mult(op_c,mult(b,op_c)))
    | spl0_1
    | ~ spl0_8
    | ~ spl0_11
    | ~ spl0_24
    | ~ spl0_29 ),
    inference(forward_demodulation,[],[f485,f222]) ).

fof(f485,plain,
    ( mult(mult(op_c,op_c),mult(a,b)) != mult(a,mult(op_c,mult(op_c,b)))
    | spl0_1
    | ~ spl0_8
    | ~ spl0_11
    | ~ spl0_24
    | ~ spl0_29 ),
    inference(forward_demodulation,[],[f484,f42]) ).

fof(f484,plain,
    ( mult(mult(op_c,op_c),mult(a,b)) != mult(a,mult(mult(op_c,b),op_c))
    | spl0_1
    | ~ spl0_8
    | ~ spl0_11
    | ~ spl0_24
    | ~ spl0_29 ),
    inference(forward_demodulation,[],[f483,f222]) ).

fof(f483,plain,
    ( mult(mult(op_c,op_c),mult(a,b)) != mult(op_c,mult(a,mult(op_c,b)))
    | spl0_1
    | ~ spl0_8
    | ~ spl0_11
    | ~ spl0_29 ),
    inference(forward_demodulation,[],[f457,f89]) ).

fof(f89,plain,
    ( ! [X0,X1] : mult(op_c,mult(X0,mult(op_c,X1))) = mult(mult(op_c,mult(op_c,X0)),X1)
    | ~ spl0_8
    | ~ spl0_11 ),
    inference(superposition,[],[f85,f42]) ).

fof(f457,plain,
    ( mult(mult(op_c,op_c),mult(a,b)) != mult(mult(op_c,mult(op_c,a)),b)
    | spl0_1
    | ~ spl0_29 ),
    inference(superposition,[],[f14,f243]) ).

fof(f14,plain,
    ( mult(mult(op_c,op_c),mult(a,b)) != mult(mult(mult(op_c,op_c),a),b)
    | spl0_1 ),
    inference(avatar_component_clause,[],[f12]) ).

fof(f529,plain,
    ( spl0_38
    | ~ spl0_8
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f116,f84,f67,f41,f527]) ).

fof(f527,plain,
    ( spl0_38
  <=> ! [X0,X1] : mult(X0,mult(X1,mult(X0,op_c))) = mult(X0,mult(op_c,mult(X1,X0))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).

fof(f116,plain,
    ( ! [X0,X1] : mult(X0,mult(X1,mult(X0,op_c))) = mult(X0,mult(op_c,mult(X1,X0)))
    | ~ spl0_8
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f97,f42]) ).

fof(f97,plain,
    ( ! [X0,X1] : mult(X0,mult(mult(X1,X0),op_c)) = mult(X0,mult(X1,mult(X0,op_c)))
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(superposition,[],[f85,f68]) ).

fof(f525,plain,
    ( spl0_37
    | ~ spl0_5
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f104,f84,f29,f523]) ).

fof(f523,plain,
    ( spl0_37
  <=> ! [X2,X0,X1] : ld(mult(X0,mult(X1,X0)),mult(X0,mult(X1,mult(X0,X2)))) = X2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).

fof(f29,plain,
    ( spl0_5
  <=> ! [X0,X1] : ld(X0,mult(X0,X1)) = X1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f104,plain,
    ( ! [X2,X0,X1] : ld(mult(X0,mult(X1,X0)),mult(X0,mult(X1,mult(X0,X2)))) = X2
    | ~ spl0_5
    | ~ spl0_11 ),
    inference(superposition,[],[f30,f85]) ).

fof(f30,plain,
    ( ! [X0,X1] : ld(X0,mult(X0,X1)) = X1
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f29]) ).

fof(f521,plain,
    ( spl0_36
    | ~ spl0_7
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f103,f84,f37,f519]) ).

fof(f519,plain,
    ( spl0_36
  <=> ! [X2,X0,X1] : mult(X0,mult(X1,X0)) = rd(mult(X0,mult(X1,mult(X0,X2))),X2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).

fof(f103,plain,
    ( ! [X2,X0,X1] : mult(X0,mult(X1,X0)) = rd(mult(X0,mult(X1,mult(X0,X2))),X2)
    | ~ spl0_7
    | ~ spl0_11 ),
    inference(superposition,[],[f38,f85]) ).

fof(f517,plain,
    ( spl0_35
    | ~ spl0_4
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f99,f84,f25,f515]) ).

fof(f515,plain,
    ( spl0_35
  <=> ! [X2,X0,X1] : mult(X0,mult(X1,mult(X0,ld(mult(X0,mult(X1,X0)),X2)))) = X2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).

fof(f99,plain,
    ( ! [X2,X0,X1] : mult(X0,mult(X1,mult(X0,ld(mult(X0,mult(X1,X0)),X2)))) = X2
    | ~ spl0_4
    | ~ spl0_11 ),
    inference(superposition,[],[f85,f26]) ).

fof(f513,plain,
    ( spl0_34
    | ~ spl0_8
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f94,f84,f41,f511]) ).

fof(f511,plain,
    ( spl0_34
  <=> ! [X0,X1] : mult(X0,mult(op_c,mult(X0,X1))) = mult(mult(X0,mult(X0,op_c)),X1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).

fof(f94,plain,
    ( ! [X0,X1] : mult(X0,mult(op_c,mult(X0,X1))) = mult(mult(X0,mult(X0,op_c)),X1)
    | ~ spl0_8
    | ~ spl0_11 ),
    inference(superposition,[],[f85,f42]) ).

fof(f509,plain,
    ( spl0_33
    | ~ spl0_6
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f92,f84,f33,f507]) ).

fof(f507,plain,
    ( spl0_33
  <=> ! [X2,X0,X1] : mult(X1,mult(rd(X0,X1),mult(X1,X2))) = mult(mult(X1,X0),X2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).

fof(f33,plain,
    ( spl0_6
  <=> ! [X0,X1] : mult(rd(X0,X1),X1) = X0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f92,plain,
    ( ! [X2,X0,X1] : mult(X1,mult(rd(X0,X1),mult(X1,X2))) = mult(mult(X1,X0),X2)
    | ~ spl0_6
    | ~ spl0_11 ),
    inference(superposition,[],[f85,f34]) ).

fof(f34,plain,
    ( ! [X0,X1] : mult(rd(X0,X1),X1) = X0
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f33]) ).

fof(f505,plain,
    ( spl0_32
    | ~ spl0_8
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f89,f84,f41,f503]) ).

fof(f503,plain,
    ( spl0_32
  <=> ! [X0,X1] : mult(op_c,mult(X0,mult(op_c,X1))) = mult(mult(op_c,mult(op_c,X0)),X1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).

fof(f501,plain,
    ( spl0_31
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f82,f67,f41,f499]) ).

fof(f499,plain,
    ( spl0_31
  <=> ! [X0,X1] : mult(mult(X0,X1),mult(op_c,op_c)) = mult(op_c,mult(X0,mult(X1,op_c))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).

fof(f82,plain,
    ( ! [X0,X1] : mult(mult(X0,X1),mult(op_c,op_c)) = mult(op_c,mult(X0,mult(X1,op_c)))
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f73,f42]) ).

fof(f73,plain,
    ( ! [X0,X1] : mult(mult(X0,X1),mult(op_c,op_c)) = mult(mult(X0,mult(X1,op_c)),op_c)
    | ~ spl0_10 ),
    inference(superposition,[],[f68,f68]) ).

fof(f446,plain,
    ( spl0_30
    | ~ spl0_5
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f180,f148,f29,f444]) ).

fof(f444,plain,
    ( spl0_30
  <=> ! [X0] : ld(op_c,X0) = rd(X0,op_c) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).

fof(f148,plain,
    ( spl0_17
  <=> ! [X0] : mult(op_c,rd(X0,op_c)) = X0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).

fof(f180,plain,
    ( ! [X0] : ld(op_c,X0) = rd(X0,op_c)
    | ~ spl0_5
    | ~ spl0_17 ),
    inference(superposition,[],[f30,f149]) ).

fof(f149,plain,
    ( ! [X0] : mult(op_c,rd(X0,op_c)) = X0
    | ~ spl0_17 ),
    inference(avatar_component_clause,[],[f148]) ).

fof(f244,plain,
    ( spl0_29
    | ~ spl0_3
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f111,f84,f21,f242]) ).

fof(f111,plain,
    ( ! [X0,X1] : mult(mult(X0,X0),X1) = mult(X0,mult(X0,X1))
    | ~ spl0_3
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f93,f22]) ).

fof(f93,plain,
    ( ! [X0,X1] : mult(X0,mult(unit,mult(X0,X1))) = mult(mult(X0,X0),X1)
    | ~ spl0_3
    | ~ spl0_11 ),
    inference(superposition,[],[f85,f22]) ).

fof(f240,plain,
    ( spl0_28
    | ~ spl0_4
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f81,f67,f41,f25,f238]) ).

fof(f81,plain,
    ( ! [X0,X1] : mult(X1,op_c) = mult(X0,mult(op_c,ld(X0,X1)))
    | ~ spl0_4
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f71,f42]) ).

fof(f71,plain,
    ( ! [X0,X1] : mult(X1,op_c) = mult(X0,mult(ld(X0,X1),op_c))
    | ~ spl0_4
    | ~ spl0_10 ),
    inference(superposition,[],[f68,f26]) ).

fof(f236,plain,
    ( spl0_27
    | ~ spl0_5
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f80,f67,f29,f234]) ).

fof(f234,plain,
    ( spl0_27
  <=> ! [X0,X1] : op_c = ld(mult(X0,X1),mult(X0,mult(X1,op_c))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).

fof(f80,plain,
    ( ! [X0,X1] : op_c = ld(mult(X0,X1),mult(X0,mult(X1,op_c)))
    | ~ spl0_5
    | ~ spl0_10 ),
    inference(superposition,[],[f30,f68]) ).

fof(f232,plain,
    ( spl0_26
    | ~ spl0_7
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f79,f67,f37,f230]) ).

fof(f230,plain,
    ( spl0_26
  <=> ! [X0,X1] : mult(X0,X1) = rd(mult(X0,mult(X1,op_c)),op_c) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).

fof(f79,plain,
    ( ! [X0,X1] : mult(X0,X1) = rd(mult(X0,mult(X1,op_c)),op_c)
    | ~ spl0_7
    | ~ spl0_10 ),
    inference(superposition,[],[f38,f68]) ).

fof(f227,plain,
    ( spl0_25
    | ~ spl0_7
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f179,f148,f37,f225]) ).

fof(f225,plain,
    ( spl0_25
  <=> ! [X0] : op_c = rd(X0,rd(X0,op_c)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).

fof(f179,plain,
    ( ! [X0] : op_c = rd(X0,rd(X0,op_c))
    | ~ spl0_7
    | ~ spl0_17 ),
    inference(superposition,[],[f38,f149]) ).

fof(f223,plain,
    ( spl0_24
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f77,f67,f41,f221]) ).

fof(f77,plain,
    ( ! [X0,X1] : mult(X0,mult(X1,op_c)) = mult(op_c,mult(X0,X1))
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(superposition,[],[f68,f42]) ).

fof(f219,plain,
    ( spl0_23
    | ~ spl0_6
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f74,f67,f33,f217]) ).

fof(f217,plain,
    ( spl0_23
  <=> ! [X0,X1] : mult(X0,op_c) = mult(rd(X0,X1),mult(X1,op_c)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).

fof(f74,plain,
    ( ! [X0,X1] : mult(X0,op_c) = mult(rd(X0,X1),mult(X1,op_c))
    | ~ spl0_6
    | ~ spl0_10 ),
    inference(superposition,[],[f68,f34]) ).

fof(f215,plain,
    ( spl0_22
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f72,f67,f41,f213]) ).

fof(f72,plain,
    ( ! [X0] : mult(X0,mult(op_c,op_c)) = mult(mult(op_c,X0),op_c)
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(superposition,[],[f68,f42]) ).

fof(f166,plain,
    ( spl0_21
    | ~ spl0_5
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f64,f41,f29,f164]) ).

fof(f64,plain,
    ( ! [X0] : op_c = ld(X0,mult(op_c,X0))
    | ~ spl0_5
    | ~ spl0_8 ),
    inference(superposition,[],[f30,f42]) ).

fof(f162,plain,
    ( spl0_20
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f63,f41,f37,f160]) ).

fof(f160,plain,
    ( spl0_20
  <=> ! [X0] : rd(mult(op_c,X0),op_c) = X0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).

fof(f63,plain,
    ( ! [X0] : rd(mult(op_c,X0),op_c) = X0
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(superposition,[],[f38,f42]) ).

fof(f158,plain,
    ( spl0_19
    | ~ spl0_5
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f61,f41,f29,f156]) ).

fof(f61,plain,
    ( ! [X0] : ld(op_c,mult(X0,op_c)) = X0
    | ~ spl0_5
    | ~ spl0_8 ),
    inference(superposition,[],[f30,f42]) ).

fof(f154,plain,
    ( spl0_18
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f60,f41,f37,f152]) ).

fof(f60,plain,
    ( ! [X0] : op_c = rd(mult(X0,op_c),X0)
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(superposition,[],[f38,f42]) ).

fof(f150,plain,
    ( spl0_17
    | ~ spl0_6
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f59,f41,f33,f148]) ).

fof(f59,plain,
    ( ! [X0] : mult(op_c,rd(X0,op_c)) = X0
    | ~ spl0_6
    | ~ spl0_8 ),
    inference(superposition,[],[f42,f34]) ).

fof(f146,plain,
    ( spl0_16
    | ~ spl0_4
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f56,f37,f25,f144]) ).

fof(f144,plain,
    ( spl0_16
  <=> ! [X0,X1] : rd(X1,ld(X0,X1)) = X0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).

fof(f56,plain,
    ( ! [X0,X1] : rd(X1,ld(X0,X1)) = X0
    | ~ spl0_4
    | ~ spl0_7 ),
    inference(superposition,[],[f38,f26]) ).

fof(f142,plain,
    ( spl0_15
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f54,f33,f29,f140]) ).

fof(f140,plain,
    ( spl0_15
  <=> ! [X0,X1] : ld(rd(X0,X1),X0) = X1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).

fof(f54,plain,
    ( ! [X0,X1] : ld(rd(X0,X1),X0) = X1
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(superposition,[],[f30,f34]) ).

fof(f133,plain,
    ( spl0_14
    | ~ spl0_3
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f57,f37,f21,f131]) ).

fof(f131,plain,
    ( spl0_14
  <=> ! [X0] : unit = rd(X0,X0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).

fof(f57,plain,
    ( ! [X0] : unit = rd(X0,X0)
    | ~ spl0_3
    | ~ spl0_7 ),
    inference(superposition,[],[f38,f22]) ).

fof(f129,plain,
    ( spl0_13
    | ~ spl0_2
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f52,f33,f17,f127]) ).

fof(f127,plain,
    ( spl0_13
  <=> ! [X0] : rd(X0,unit) = X0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).

fof(f17,plain,
    ( spl0_2
  <=> ! [X0] : mult(X0,unit) = X0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f52,plain,
    ( ! [X0] : rd(X0,unit) = X0
    | ~ spl0_2
    | ~ spl0_6 ),
    inference(superposition,[],[f34,f18]) ).

fof(f18,plain,
    ( ! [X0] : mult(X0,unit) = X0
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f17]) ).

fof(f125,plain,
    ( spl0_12
    | ~ spl0_2
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f50,f29,f17,f123]) ).

fof(f123,plain,
    ( spl0_12
  <=> ! [X0] : unit = ld(X0,X0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

fof(f50,plain,
    ( ! [X0] : unit = ld(X0,X0)
    | ~ spl0_2
    | ~ spl0_5 ),
    inference(superposition,[],[f30,f18]) ).

fof(f86,plain,
    spl0_11,
    inference(avatar_split_clause,[],[f7,f84]) ).

fof(f7,axiom,
    ! [X2,X0,X1] : mult(X0,mult(X1,mult(X0,X2))) = mult(mult(X0,mult(X1,X0)),X2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f69,plain,
    spl0_10,
    inference(avatar_split_clause,[],[f9,f67]) ).

fof(f9,axiom,
    ! [X0,X1] : mult(X0,mult(X1,op_c)) = mult(mult(X0,X1),op_c),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f49,plain,
    ( spl0_9
    | ~ spl0_3
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f44,f25,f21,f47]) ).

fof(f44,plain,
    ( ! [X0] : ld(unit,X0) = X0
    | ~ spl0_3
    | ~ spl0_4 ),
    inference(superposition,[],[f26,f22]) ).

fof(f43,plain,
    spl0_8,
    inference(avatar_split_clause,[],[f8,f41]) ).

fof(f8,axiom,
    ! [X0] : mult(op_c,X0) = mult(X0,op_c),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f39,plain,
    spl0_7,
    inference(avatar_split_clause,[],[f4,f37]) ).

fof(f4,axiom,
    ! [X0,X1] : rd(mult(X0,X1),X1) = X0,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f35,plain,
    spl0_6,
    inference(avatar_split_clause,[],[f3,f33]) ).

fof(f3,axiom,
    ! [X0,X1] : mult(rd(X0,X1),X1) = X0,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f31,plain,
    spl0_5,
    inference(avatar_split_clause,[],[f2,f29]) ).

fof(f2,axiom,
    ! [X0,X1] : ld(X0,mult(X0,X1)) = X1,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f27,plain,
    spl0_4,
    inference(avatar_split_clause,[],[f1,f25]) ).

fof(f1,axiom,
    ! [X0,X1] : mult(X0,ld(X0,X1)) = X1,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f23,plain,
    spl0_3,
    inference(avatar_split_clause,[],[f6,f21]) ).

fof(f6,axiom,
    ! [X0] : mult(unit,X0) = X0,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f19,plain,
    spl0_2,
    inference(avatar_split_clause,[],[f5,f17]) ).

fof(f5,axiom,
    ! [X0] : mult(X0,unit) = X0,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f15,plain,
    ~ spl0_1,
    inference(avatar_split_clause,[],[f10,f12]) ).

fof(f10,axiom,
    mult(mult(op_c,op_c),mult(a,b)) != mult(mult(mult(op_c,op_c),a),b),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.14  % Problem    : GRP709-1 : TPTP v8.2.0. Released v4.0.0.
% 0.04/0.14  % Command    : run_vampire %s %d SAT
% 0.14/0.36  % Computer : n027.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit   : 300
% 0.14/0.36  % WCLimit    : 300
% 0.14/0.36  % DateTime   : Thu Jun 20 10:31:39 EDT 2024
% 0.14/0.36  % CPUTime    : 
% 0.14/0.38  This is a CNF_UNS_RFO_PEQ_UEQ problem
% 0.14/0.38  Running first-order model finding
% 0.14/0.38  Running /export/starexec/sandbox/solver/bin/vampire --mode casc_sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.23/0.45  % (6796)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.45  % (6797)fmb+10_1:1_sil=256000:i=98885:tgt=full:fmbsr=1.3:fmbss=10_0 on theBenchmark for (3000ds/98885Mi)
% 0.23/0.45  % (6796)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.45  % (6803)ott-4_1:1_sil=4000:sp=reverse_arity:lcm=predicate:newcnf=on:i=115:bce=on:fd=off:fs=off:fsr=off_0 on theBenchmark for (3000ds/115Mi)
% 0.23/0.45  % (6796)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.45  % (6802)ott+11_8:59_sil=16000:sp=occurrence:lsd=20:abs=on:i=146:aac=none:nm=16:fdi=10:rawr=on:nicw=on_0 on theBenchmark for (3000ds/146Mi)
% 0.23/0.46  % (6796)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.46  % (6798)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency:i=99418_0 on theBenchmark for (3000ds/99418Mi)
% 0.23/0.46  TRYING [10]
% 0.23/0.46  % (6796)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.46  % (6801)ott+21_1:1_sil=4000:i=104:fsd=on:fd=off:newcnf=on_0 on theBenchmark for (3000ds/104Mi)
% 0.23/0.49  % (6796)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.49  % (6800)fmb+10_1:1_sil=256000:fmbss=23:fmbes=contour:newcnf=on:fmbsr=1.14:i=152523:nm=2:gsp=on:rp=on_0 on theBenchmark for (3000ds/152523Mi)
% 0.23/0.50  % (6803)Instruction limit reached!
% 0.23/0.50  % (6803)------------------------------
% 0.23/0.50  % (6803)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.23/0.50  % (6803)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.23/0.50  % (6803)Termination reason: Time limit
% 0.23/0.50  % (6803)Termination phase: Saturation
% 0.23/0.50  
% 0.23/0.50  % (6803)Memory used [KB]: 1127
% 0.23/0.50  % (6803)Time elapsed: 0.055 s
% 0.23/0.50  % (6803)Instructions burned: 115 (million)
% 0.23/0.50  % (6796)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.50  % (6799)fmb+10_1:1_sil=256000:fmbes=contour:i=214858:bce=on_0 on theBenchmark for (3000ds/214858Mi)
% 0.23/0.50  TRYING [1]
% 0.23/0.50  TRYING [2]
% 0.23/0.51  TRYING [3]
% 0.23/0.51  TRYING [4]
% 0.23/0.51  % (6802)Instruction limit reached!
% 0.23/0.51  % (6802)------------------------------
% 0.23/0.51  % (6802)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.23/0.51  % (6802)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.23/0.51  % (6802)Termination reason: Time limit
% 0.23/0.51  % (6802)Termination phase: Saturation
% 0.23/0.51  
% 0.23/0.51  % (6802)Memory used [KB]: 2398
% 0.23/0.51  % (6802)Time elapsed: 0.066 s
% 0.23/0.51  % (6802)Instructions burned: 147 (million)
% 0.23/0.52  TRYING [5]
% 0.93/0.53  % (6801)Instruction limit reached!
% 0.93/0.53  % (6801)------------------------------
% 0.93/0.53  % (6801)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.93/0.53  % (6801)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.93/0.53  % (6801)Termination reason: Time limit
% 0.93/0.53  % (6801)Termination phase: Saturation
% 0.93/0.53  
% 0.93/0.53  % (6801)Memory used [KB]: 1619
% 0.93/0.53  % (6801)Time elapsed: 0.091 s
% 0.93/0.53  % (6801)Instructions burned: 104 (million)
% 0.93/0.55  % (6796)Running in auto input_syntax mode. Trying TPTP
% 0.93/0.55  % (6804)dis+11_1:3_bsr=unit_only:sil=2000:rp=on:newcnf=on:i=404:kws=precedence:lsd=100_0 on theBenchmark for (2998ds/404Mi)
% 1.11/0.55  % (6798)First to succeed.
% 1.11/0.55  % (6798)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-6796"
% 1.11/0.55  % (6796)Running in auto input_syntax mode. Trying TPTP
% 1.11/0.55  % (6798)Refutation found. Thanks to Tanya!
% 1.11/0.55  % SZS status Unsatisfiable for theBenchmark
% 1.11/0.55  % SZS output start Proof for theBenchmark
% See solution above
% 1.11/0.56  % (6798)------------------------------
% 1.11/0.56  % (6798)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.11/0.56  % (6798)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.11/0.56  % (6798)Termination reason: Refutation
% 1.11/0.56  
% 1.11/0.56  % (6798)Memory used [KB]: 2672
% 1.11/0.56  % (6798)Time elapsed: 0.095 s
% 1.11/0.56  % (6798)Instructions burned: 185 (million)
% 1.11/0.56  % (6798)------------------------------
% 1.11/0.56  % (6798)------------------------------
% 1.11/0.56  % (6796)Success in time 0.153 s
%------------------------------------------------------------------------------