TSTP Solution File: PLA008-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : PLA008-1 : TPTP v8.1.0. Released v1.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s

% Computer : n011.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 : Wed Aug 31 18:09:16 EDT 2022

% Result   : Unsatisfiable 2.79s 0.75s
% Output   : Refutation 2.79s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   54
%            Number of leaves      :   27
% Syntax   : Number of formulae    :   86 (  23 unt;   0 def)
%            Number of atoms       :  299 (   0 equ)
%            Maximal formula atoms :    7 (   3 avg)
%            Number of connectives :  480 ( 267   ~; 213   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :   14 (  14 usr;   7 con; 0-2 aty)
%            Number of variables   :   98 (  98   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f648,plain,
    $false,
    inference(subsumption_resolution,[],[f647,f28]) ).

fof(f28,axiom,
    holds(clear(c),s0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',initial_state7) ).

fof(f647,plain,
    ~ holds(clear(c),s0),
    inference(subsumption_resolution,[],[f646,f27]) ).

fof(f27,axiom,
    holds(clear(b),s0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',initial_state6) ).

fof(f646,plain,
    ( ~ holds(clear(b),s0)
    | ~ holds(clear(c),s0) ),
    inference(subsumption_resolution,[],[f645,f29]) ).

fof(f29,axiom,
    holds(empty,s0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',initial_state8) ).

fof(f645,plain,
    ( ~ holds(empty,s0)
    | ~ holds(clear(b),s0)
    | ~ holds(clear(c),s0) ),
    inference(subsumption_resolution,[],[f642,f26]) ).

fof(f26,axiom,
    holds(clear(a),s0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',initial_state5) ).

fof(f642,plain,
    ( ~ holds(clear(a),s0)
    | ~ holds(clear(c),s0)
    | ~ holds(empty,s0)
    | ~ holds(clear(b),s0) ),
    inference(resolution,[],[f638,f24]) ).

fof(f24,axiom,
    holds(on(c,d),s0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',initial_state3) ).

fof(f638,plain,
    ! [X1] :
      ( ~ holds(on(c,d),X1)
      | ~ holds(empty,X1)
      | ~ holds(clear(c),X1)
      | ~ holds(clear(a),X1)
      | ~ holds(clear(b),X1) ),
    inference(subsumption_resolution,[],[f636,f13]) ).

fof(f13,axiom,
    differ(a,c),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',differ_a_c) ).

fof(f636,plain,
    ! [X1] :
      ( ~ holds(on(c,d),X1)
      | ~ holds(clear(a),X1)
      | ~ differ(a,c)
      | ~ holds(clear(c),X1)
      | ~ holds(clear(b),X1)
      | ~ holds(empty,X1) ),
    inference(resolution,[],[f634,f5]) ).

fof(f5,axiom,
    ! [X2,X3,X0] :
      ( holds(clear(X0),do(pickup(X3),X2))
      | ~ holds(clear(X0),X2)
      | ~ differ(X0,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pickup_4) ).

fof(f634,plain,
    ! [X1] :
      ( ~ holds(clear(a),do(pickup(c),X1))
      | ~ holds(clear(c),X1)
      | ~ holds(on(c,d),X1)
      | ~ holds(clear(b),X1)
      | ~ holds(empty,X1) ),
    inference(subsumption_resolution,[],[f632,f16]) ).

fof(f16,axiom,
    differ(b,c),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',differ_b_c) ).

fof(f632,plain,
    ! [X1] :
      ( ~ holds(clear(b),X1)
      | ~ differ(b,c)
      | ~ holds(on(c,d),X1)
      | ~ holds(clear(a),do(pickup(c),X1))
      | ~ holds(empty,X1)
      | ~ holds(clear(c),X1) ),
    inference(resolution,[],[f599,f5]) ).

fof(f599,plain,
    ! [X0] :
      ( ~ holds(clear(b),do(pickup(c),X0))
      | ~ holds(clear(a),do(pickup(c),X0))
      | ~ holds(on(c,d),X0)
      | ~ holds(clear(c),X0)
      | ~ holds(empty,X0) ),
    inference(duplicate_literal_removal,[],[f597]) ).

fof(f597,plain,
    ! [X0] :
      ( ~ holds(clear(c),X0)
      | ~ holds(clear(c),X0)
      | ~ holds(clear(a),do(pickup(c),X0))
      | ~ holds(empty,X0)
      | ~ holds(on(c,d),X0)
      | ~ holds(clear(b),do(pickup(c),X0))
      | ~ holds(empty,X0) ),
    inference(resolution,[],[f596,f3]) ).

fof(f3,axiom,
    ! [X2,X0,X1] :
      ( holds(clear(X1),do(pickup(X0),X2))
      | ~ holds(on(X0,X1),X2)
      | ~ holds(clear(X0),X2)
      | ~ holds(empty,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pickup_2) ).

fof(f596,plain,
    ! [X0] :
      ( ~ holds(clear(d),do(pickup(c),X0))
      | ~ holds(empty,X0)
      | ~ holds(clear(a),do(pickup(c),X0))
      | ~ holds(clear(c),X0)
      | ~ holds(clear(b),do(pickup(c),X0)) ),
    inference(subsumption_resolution,[],[f595,f20]) ).

fof(f20,axiom,
    differ(c,table),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',differ_c_table) ).

fof(f595,plain,
    ! [X0] :
      ( ~ holds(clear(b),do(pickup(c),X0))
      | ~ holds(clear(d),do(pickup(c),X0))
      | ~ holds(clear(a),do(pickup(c),X0))
      | ~ holds(clear(c),X0)
      | ~ holds(empty,X0)
      | ~ differ(c,table) ),
    inference(resolution,[],[f594,f2]) ).

fof(f2,axiom,
    ! [X2,X0] :
      ( holds(holding(X0),do(pickup(X0),X2))
      | ~ holds(empty,X2)
      | ~ differ(X0,table)
      | ~ holds(clear(X0),X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pickup_1) ).

fof(f594,plain,
    ! [X0] :
      ( ~ holds(holding(c),X0)
      | ~ holds(clear(d),X0)
      | ~ holds(clear(a),X0)
      | ~ holds(clear(b),X0) ),
    inference(subsumption_resolution,[],[f593,f35]) ).

fof(f35,plain,
    differ(b,a),
    inference(resolution,[],[f11,f12]) ).

fof(f12,axiom,
    differ(a,b),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',differ_a_b) ).

fof(f11,axiom,
    ! [X0,X1] :
      ( differ(X0,X1)
      | ~ differ(X1,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',symmetry_of_differ) ).

fof(f593,plain,
    ! [X0] :
      ( ~ holds(holding(c),X0)
      | ~ differ(b,a)
      | ~ holds(clear(b),X0)
      | ~ holds(clear(d),X0)
      | ~ holds(clear(a),X0) ),
    inference(resolution,[],[f592,f10]) ).

fof(f10,axiom,
    ! [X2,X3,X0,X1] :
      ( holds(clear(X3),do(putdown(X0,X1),X2))
      | ~ differ(X3,X1)
      | ~ holds(clear(X3),X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',putdown_5) ).

fof(f592,plain,
    ! [X0] :
      ( ~ holds(clear(b),do(putdown(c,a),X0))
      | ~ holds(clear(d),X0)
      | ~ holds(holding(c),X0)
      | ~ holds(clear(a),X0) ),
    inference(subsumption_resolution,[],[f591,f37]) ).

fof(f37,plain,
    differ(d,a),
    inference(resolution,[],[f11,f14]) ).

fof(f14,axiom,
    differ(a,d),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',differ_a_d) ).

fof(f591,plain,
    ! [X0] :
      ( ~ holds(holding(c),X0)
      | ~ holds(clear(d),X0)
      | ~ holds(clear(b),do(putdown(c,a),X0))
      | ~ differ(d,a)
      | ~ holds(clear(a),X0) ),
    inference(resolution,[],[f580,f10]) ).

fof(f580,plain,
    ! [X3] :
      ( ~ holds(clear(d),do(putdown(c,a),X3))
      | ~ holds(clear(a),X3)
      | ~ holds(holding(c),X3)
      | ~ holds(clear(b),do(putdown(c,a),X3)) ),
    inference(subsumption_resolution,[],[f579,f6]) ).

fof(f6,axiom,
    ! [X2,X0,X1] :
      ( holds(empty,do(putdown(X0,X1),X2))
      | ~ holds(clear(X1),X2)
      | ~ holds(holding(X0),X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',putdown_1) ).

fof(f579,plain,
    ! [X3] :
      ( ~ holds(clear(b),do(putdown(c,a),X3))
      | ~ holds(clear(d),do(putdown(c,a),X3))
      | ~ holds(holding(c),X3)
      | ~ holds(clear(a),X3)
      | ~ holds(empty,do(putdown(c,a),X3)) ),
    inference(subsumption_resolution,[],[f577,f8]) ).

fof(f8,axiom,
    ! [X2,X0,X1] :
      ( holds(clear(X0),do(putdown(X0,X1),X2))
      | ~ holds(clear(X1),X2)
      | ~ holds(holding(X0),X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',putdown_3) ).

fof(f577,plain,
    ! [X3] :
      ( ~ holds(clear(b),do(putdown(c,a),X3))
      | ~ holds(clear(a),X3)
      | ~ holds(clear(d),do(putdown(c,a),X3))
      | ~ holds(clear(c),do(putdown(c,a),X3))
      | ~ holds(empty,do(putdown(c,a),X3))
      | ~ holds(holding(c),X3) ),
    inference(resolution,[],[f575,f7]) ).

fof(f7,axiom,
    ! [X2,X0,X1] :
      ( holds(on(X0,X1),do(putdown(X0,X1),X2))
      | ~ holds(holding(X0),X2)
      | ~ holds(clear(X1),X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',putdown_2) ).

fof(f575,plain,
    ! [X1] :
      ( ~ holds(on(c,a),X1)
      | ~ holds(empty,X1)
      | ~ holds(clear(c),X1)
      | ~ holds(clear(b),X1)
      | ~ holds(clear(d),X1) ),
    inference(subsumption_resolution,[],[f573,f38]) ).

fof(f38,plain,
    differ(c,b),
    inference(resolution,[],[f11,f16]) ).

fof(f573,plain,
    ! [X1] :
      ( ~ holds(clear(d),X1)
      | ~ holds(empty,X1)
      | ~ holds(clear(b),X1)
      | ~ holds(clear(c),X1)
      | ~ differ(c,b)
      | ~ holds(on(c,a),X1) ),
    inference(resolution,[],[f571,f5]) ).

fof(f571,plain,
    ! [X1] :
      ( ~ holds(clear(c),do(pickup(b),X1))
      | ~ holds(empty,X1)
      | ~ holds(on(c,a),X1)
      | ~ holds(clear(b),X1)
      | ~ holds(clear(d),X1) ),
    inference(subsumption_resolution,[],[f569,f39]) ).

fof(f39,plain,
    differ(d,b),
    inference(resolution,[],[f11,f17]) ).

fof(f17,axiom,
    differ(b,d),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',differ_b_d) ).

fof(f569,plain,
    ! [X1] :
      ( ~ holds(clear(d),X1)
      | ~ holds(clear(c),do(pickup(b),X1))
      | ~ holds(empty,X1)
      | ~ holds(clear(b),X1)
      | ~ differ(d,b)
      | ~ holds(on(c,a),X1) ),
    inference(resolution,[],[f564,f5]) ).

fof(f564,plain,
    ! [X0] :
      ( ~ holds(clear(d),do(pickup(b),X0))
      | ~ holds(on(c,a),X0)
      | ~ holds(clear(c),do(pickup(b),X0))
      | ~ holds(clear(b),X0)
      | ~ holds(empty,X0) ),
    inference(subsumption_resolution,[],[f563,f38]) ).

fof(f563,plain,
    ! [X0] :
      ( ~ holds(clear(d),do(pickup(b),X0))
      | ~ holds(empty,X0)
      | ~ holds(clear(c),do(pickup(b),X0))
      | ~ holds(clear(b),X0)
      | ~ differ(c,b)
      | ~ holds(on(c,a),X0) ),
    inference(subsumption_resolution,[],[f562,f18]) ).

fof(f18,axiom,
    differ(b,table),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',differ_b_table) ).

fof(f562,plain,
    ! [X0] :
      ( ~ holds(empty,X0)
      | ~ differ(b,table)
      | ~ holds(clear(b),X0)
      | ~ holds(clear(d),do(pickup(b),X0))
      | ~ differ(c,b)
      | ~ holds(clear(c),do(pickup(b),X0))
      | ~ holds(on(c,a),X0) ),
    inference(resolution,[],[f447,f2]) ).

fof(f447,plain,
    ! [X4,X5] :
      ( ~ holds(holding(b),do(pickup(X4),X5))
      | ~ holds(on(c,a),X5)
      | ~ holds(clear(d),do(pickup(X4),X5))
      | ~ differ(c,X4)
      | ~ holds(clear(c),do(pickup(X4),X5)) ),
    inference(resolution,[],[f444,f4]) ).

fof(f4,axiom,
    ! [X2,X3,X0,X1] :
      ( holds(on(X0,X1),do(pickup(X3),X2))
      | ~ holds(on(X0,X1),X2)
      | ~ differ(X0,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pickup_3) ).

fof(f444,plain,
    ! [X0] :
      ( ~ holds(on(c,a),X0)
      | ~ holds(clear(d),X0)
      | ~ holds(holding(b),X0)
      | ~ holds(clear(c),X0) ),
    inference(subsumption_resolution,[],[f443,f19]) ).

fof(f19,axiom,
    differ(c,d),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',differ_c_d) ).

fof(f443,plain,
    ! [X0] :
      ( ~ holds(holding(b),X0)
      | ~ differ(c,d)
      | ~ holds(clear(d),X0)
      | ~ holds(on(c,a),X0)
      | ~ holds(clear(c),X0) ),
    inference(resolution,[],[f442,f10]) ).

fof(f442,plain,
    ! [X3] :
      ( ~ holds(clear(c),do(putdown(b,d),X3))
      | ~ holds(clear(d),X3)
      | ~ holds(holding(b),X3)
      | ~ holds(on(c,a),X3) ),
    inference(subsumption_resolution,[],[f441,f6]) ).

fof(f441,plain,
    ! [X3] :
      ( ~ holds(on(c,a),X3)
      | ~ holds(empty,do(putdown(b,d),X3))
      | ~ holds(clear(c),do(putdown(b,d),X3))
      | ~ holds(clear(d),X3)
      | ~ holds(holding(b),X3) ),
    inference(resolution,[],[f147,f7]) ).

fof(f147,plain,
    ! [X2,X0,X1] :
      ( ~ holds(on(b,d),do(putdown(X0,X1),X2))
      | ~ holds(clear(c),do(putdown(X0,X1),X2))
      | ~ holds(on(c,a),X2)
      | ~ holds(empty,do(putdown(X0,X1),X2)) ),
    inference(resolution,[],[f146,f9]) ).

fof(f9,axiom,
    ! [X2,X3,X0,X1,X4] :
      ( holds(on(X0,X1),do(putdown(X3,X4),X2))
      | ~ holds(on(X0,X1),X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',putdown_4) ).

fof(f146,plain,
    ! [X0] :
      ( ~ holds(on(c,a),X0)
      | ~ holds(on(b,d),X0)
      | ~ holds(empty,X0)
      | ~ holds(clear(c),X0) ),
    inference(duplicate_literal_removal,[],[f144]) ).

fof(f144,plain,
    ! [X0] :
      ( ~ holds(empty,X0)
      | ~ holds(empty,X0)
      | ~ holds(clear(c),X0)
      | ~ holds(on(b,d),X0)
      | ~ holds(clear(c),X0)
      | ~ holds(on(c,a),X0) ),
    inference(resolution,[],[f143,f3]) ).

fof(f143,plain,
    ! [X0] :
      ( ~ holds(clear(a),do(pickup(c),X0))
      | ~ holds(empty,X0)
      | ~ holds(on(b,d),X0)
      | ~ holds(clear(c),X0) ),
    inference(subsumption_resolution,[],[f142,f16]) ).

fof(f142,plain,
    ! [X0] :
      ( ~ holds(clear(c),X0)
      | ~ differ(b,c)
      | ~ holds(clear(a),do(pickup(c),X0))
      | ~ holds(empty,X0)
      | ~ holds(on(b,d),X0) ),
    inference(subsumption_resolution,[],[f141,f20]) ).

fof(f141,plain,
    ! [X0] :
      ( ~ holds(clear(a),do(pickup(c),X0))
      | ~ differ(c,table)
      | ~ holds(on(b,d),X0)
      | ~ holds(clear(c),X0)
      | ~ differ(b,c)
      | ~ holds(empty,X0) ),
    inference(resolution,[],[f140,f2]) ).

fof(f140,plain,
    ! [X4,X5] :
      ( ~ holds(holding(c),do(pickup(X4),X5))
      | ~ holds(clear(a),do(pickup(X4),X5))
      | ~ differ(b,X4)
      | ~ holds(on(b,d),X5) ),
    inference(resolution,[],[f117,f4]) ).

fof(f117,plain,
    ! [X0] :
      ( ~ holds(on(b,d),X0)
      | ~ holds(clear(a),X0)
      | ~ holds(holding(c),X0) ),
    inference(subsumption_resolution,[],[f109,f15]) ).

fof(f15,axiom,
    differ(a,table),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',differ_a_table) ).

fof(f109,plain,
    ! [X0] :
      ( ~ holds(holding(c),X0)
      | ~ holds(clear(a),X0)
      | ~ holds(on(b,d),X0)
      | ~ differ(a,table) ),
    inference(resolution,[],[f105,f30]) ).

fof(f30,axiom,
    ! [X2] : holds(clear(table),X2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clear_table) ).

fof(f105,plain,
    ! [X0,X1] :
      ( ~ holds(on(b,d),X0)
      | ~ holds(clear(X1),X0)
      | ~ differ(a,X1)
      | ~ holds(holding(c),X0)
      | ~ holds(clear(a),X0) ),
    inference(resolution,[],[f104,f10]) ).

fof(f104,plain,
    ! [X3,X4] :
      ( ~ holds(clear(a),do(putdown(c,X4),X3))
      | ~ holds(on(b,d),X3)
      | ~ holds(clear(X4),X3)
      | ~ holds(holding(c),X3) ),
    inference(subsumption_resolution,[],[f103,f6]) ).

fof(f103,plain,
    ! [X3,X4] :
      ( ~ holds(on(b,d),X3)
      | ~ holds(holding(c),X3)
      | ~ holds(clear(X4),X3)
      | ~ holds(clear(a),do(putdown(c,X4),X3))
      | ~ holds(empty,do(putdown(c,X4),X3)) ),
    inference(resolution,[],[f75,f8]) ).

fof(f75,plain,
    ! [X2,X0,X1] :
      ( ~ holds(clear(c),do(putdown(X0,X1),X2))
      | ~ holds(on(b,d),X2)
      | ~ holds(clear(a),do(putdown(X0,X1),X2))
      | ~ holds(empty,do(putdown(X0,X1),X2)) ),
    inference(resolution,[],[f74,f9]) ).

fof(f74,plain,
    ! [X1] :
      ( ~ holds(on(b,d),X1)
      | ~ holds(clear(c),X1)
      | ~ holds(empty,X1)
      | ~ holds(clear(a),X1) ),
    inference(subsumption_resolution,[],[f72,f36]) ).

fof(f36,plain,
    differ(c,a),
    inference(resolution,[],[f11,f13]) ).

fof(f72,plain,
    ! [X1] :
      ( ~ holds(empty,X1)
      | ~ holds(on(b,d),X1)
      | ~ differ(c,a)
      | ~ holds(clear(c),X1)
      | ~ holds(clear(a),X1) ),
    inference(resolution,[],[f70,f5]) ).

fof(f70,plain,
    ! [X0] :
      ( ~ holds(clear(c),do(pickup(a),X0))
      | ~ holds(clear(a),X0)
      | ~ holds(on(b,d),X0)
      | ~ holds(empty,X0) ),
    inference(subsumption_resolution,[],[f69,f15]) ).

fof(f69,plain,
    ! [X0] :
      ( ~ differ(a,table)
      | ~ holds(on(b,d),X0)
      | ~ holds(clear(c),do(pickup(a),X0))
      | ~ holds(clear(a),X0)
      | ~ holds(empty,X0) ),
    inference(subsumption_resolution,[],[f68,f35]) ).

fof(f68,plain,
    ! [X0] :
      ( ~ holds(clear(a),X0)
      | ~ differ(b,a)
      | ~ holds(clear(c),do(pickup(a),X0))
      | ~ holds(on(b,d),X0)
      | ~ differ(a,table)
      | ~ holds(empty,X0) ),
    inference(resolution,[],[f63,f2]) ).

fof(f63,plain,
    ! [X4,X5] :
      ( ~ holds(holding(a),do(pickup(X4),X5))
      | ~ differ(b,X4)
      | ~ holds(on(b,d),X5)
      | ~ holds(clear(c),do(pickup(X4),X5)) ),
    inference(resolution,[],[f59,f4]) ).

fof(f59,plain,
    ! [X0] :
      ( ~ holds(on(b,d),X0)
      | ~ holds(holding(a),X0)
      | ~ holds(clear(c),X0) ),
    inference(resolution,[],[f7,f55]) ).

fof(f55,plain,
    ! [X2,X0,X1] :
      ( ~ holds(on(a,c),do(putdown(X1,X2),X0))
      | ~ holds(on(b,d),X0) ),
    inference(resolution,[],[f9,f54]) ).

fof(f54,plain,
    ! [X0] :
      ( ~ holds(on(b,d),X0)
      | ~ holds(on(a,c),X0) ),
    inference(resolution,[],[f1,f31]) ).

fof(f31,axiom,
    ! [X2] : ~ holds(and(on(b,d),on(a,c)),X2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_BD_AC) ).

fof(f1,axiom,
    ! [X2,X0,X1] :
      ( holds(and(X0,X1),X2)
      | ~ holds(X0,X2)
      | ~ holds(X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',and_definition) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem    : PLA008-1 : TPTP v8.1.0. Released v1.1.0.
% 0.06/0.12  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.11/0.33  % Computer : n011.cluster.edu
% 0.11/0.33  % Model    : x86_64 x86_64
% 0.11/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33  % Memory   : 8042.1875MB
% 0.11/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33  % CPULimit   : 300
% 0.11/0.33  % WCLimit    : 300
% 0.11/0.33  % DateTime   : Tue Aug 30 10:01:25 EDT 2022
% 0.11/0.33  % CPUTime    : 
% 0.17/0.48  % (18659)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.17/0.49  TRYING [1]
% 0.17/0.49  % (18667)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.17/0.49  TRYING [2]
% 0.17/0.50  TRYING [3]
% 0.17/0.50  % (18676)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.17/0.50  % (18675)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.17/0.50  % (18662)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.17/0.50  % (18663)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.17/0.50  % (18668)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.17/0.52  % (18660)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.17/0.52  % (18655)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.17/0.52  % (18654)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.17/0.52  % (18654)Refutation not found, incomplete strategy% (18654)------------------------------
% 0.17/0.52  % (18654)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.52  % (18654)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.52  % (18654)Termination reason: Refutation not found, incomplete strategy
% 0.17/0.52  
% 0.17/0.52  % (18654)Memory used [KB]: 5373
% 0.17/0.52  % (18654)Time elapsed: 0.133 s
% 0.17/0.52  % (18654)Instructions burned: 2 (million)
% 0.17/0.52  % (18654)------------------------------
% 0.17/0.52  % (18654)------------------------------
% 0.17/0.52  % (18665)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.17/0.52  % (18656)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.17/0.53  % (18664)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.17/0.53  % (18660)Instruction limit reached!
% 0.17/0.53  % (18660)------------------------------
% 0.17/0.53  % (18660)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.53  % (18660)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.53  % (18660)Termination reason: Unknown
% 0.17/0.53  % (18660)Termination phase: Saturation
% 0.17/0.53  
% 0.17/0.53  % (18660)Memory used [KB]: 5500
% 0.17/0.53  % (18660)Time elapsed: 0.089 s
% 0.17/0.53  % (18660)Instructions burned: 7 (million)
% 0.17/0.53  % (18660)------------------------------
% 0.17/0.53  % (18660)------------------------------
% 0.17/0.54  % (18659)Instruction limit reached!
% 0.17/0.54  % (18659)------------------------------
% 0.17/0.54  % (18659)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.54  % (18674)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.17/0.54  % (18661)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.17/0.54  % (18661)Instruction limit reached!
% 0.17/0.54  % (18661)------------------------------
% 0.17/0.54  % (18661)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.54  % (18661)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.54  % (18661)Termination reason: Unknown
% 0.17/0.54  % (18661)Termination phase: Saturation
% 0.17/0.54  
% 0.17/0.54  % (18661)Memory used [KB]: 5373
% 0.17/0.54  % (18661)Time elapsed: 0.154 s
% 0.17/0.54  % (18661)Instructions burned: 3 (million)
% 0.17/0.54  % (18661)------------------------------
% 0.17/0.54  % (18661)------------------------------
% 0.17/0.54  % (18657)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.17/0.55  % (18658)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.17/0.55  % (18666)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.17/0.55  % (18678)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.17/0.55  % (18670)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.17/0.56  % (18679)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 1.52/0.56  % (18680)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 1.52/0.56  % (18671)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.52/0.56  % (18653)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 1.52/0.56  % (18681)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.52/0.56  % (18682)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 1.52/0.56  TRYING [1]
% 1.52/0.57  % (18673)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 1.52/0.57  % (18659)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.52/0.57  % (18659)Termination reason: Unknown
% 1.52/0.57  % (18659)Termination phase: Finite model building SAT solving
% 1.52/0.57  
% 1.52/0.57  % (18659)Memory used [KB]: 6524
% 1.52/0.57  % (18659)Time elapsed: 0.127 s
% 1.52/0.57  % (18659)Instructions burned: 52 (million)
% 1.52/0.57  % (18659)------------------------------
% 1.52/0.57  % (18659)------------------------------
% 1.52/0.57  % (18677)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.52/0.57  % (18672)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.52/0.57  TRYING [1]
% 1.52/0.57  % (18669)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.82/0.57  TRYING [2]
% 1.82/0.58  TRYING [3]
% 1.82/0.58  TRYING [2]
% 1.82/0.58  TRYING [3]
% 1.82/0.61  % (18655)Instruction limit reached!
% 1.82/0.61  % (18655)------------------------------
% 1.82/0.61  % (18655)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.82/0.61  % (18662)Instruction limit reached!
% 1.82/0.61  % (18662)------------------------------
% 1.82/0.61  % (18662)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.82/0.61  % (18663)Instruction limit reached!
% 1.82/0.61  % (18663)------------------------------
% 1.82/0.61  % (18663)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.82/0.62  % (18655)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.82/0.62  % (18655)Termination reason: Unknown
% 1.82/0.62  % (18655)Termination phase: Saturation
% 1.82/0.62  
% 1.82/0.62  % (18655)Memory used [KB]: 1151
% 1.82/0.62  % (18655)Time elapsed: 0.202 s
% 1.82/0.62  % (18655)Instructions burned: 38 (million)
% 1.82/0.62  % (18655)------------------------------
% 1.82/0.62  % (18655)------------------------------
% 1.82/0.62  % (18663)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.82/0.62  % (18663)Termination reason: Unknown
% 1.82/0.62  % (18663)Termination phase: Saturation
% 1.82/0.63  
% 1.82/0.63  % (18663)Memory used [KB]: 6012
% 1.82/0.63  % (18663)Time elapsed: 0.210 s
% 1.82/0.63  % (18663)Instructions burned: 51 (million)
% 1.82/0.63  % (18663)------------------------------
% 1.82/0.63  % (18663)------------------------------
% 1.82/0.63  % (18662)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.82/0.63  % (18662)Termination reason: Unknown
% 1.82/0.63  % (18662)Termination phase: Saturation
% 1.82/0.63  
% 1.82/0.63  % (18662)Memory used [KB]: 1151
% 1.82/0.63  % (18662)Time elapsed: 0.221 s
% 1.82/0.63  % (18662)Instructions burned: 51 (million)
% 1.82/0.63  % (18662)------------------------------
% 1.82/0.63  % (18662)------------------------------
% 1.82/0.64  % (18667)Instruction limit reached!
% 1.82/0.64  % (18667)------------------------------
% 1.82/0.64  % (18667)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.82/0.64  % (18667)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.82/0.64  % (18667)Termination reason: Unknown
% 1.82/0.64  % (18667)Termination phase: Saturation
% 1.82/0.64  
% 1.82/0.64  % (18667)Memory used [KB]: 6908
% 1.82/0.64  % (18667)Time elapsed: 0.048 s
% 1.82/0.64  % (18667)Instructions burned: 69 (million)
% 1.82/0.64  % (18667)------------------------------
% 1.82/0.64  % (18667)------------------------------
% 1.82/0.65  % (18668)Instruction limit reached!
% 1.82/0.65  % (18668)------------------------------
% 1.82/0.65  % (18668)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.82/0.65  TRYING [4]
% 1.82/0.66  % (18670)Instruction limit reached!
% 1.82/0.66  % (18670)------------------------------
% 1.82/0.66  % (18670)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.82/0.66  % (18670)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.82/0.66  % (18670)Termination reason: Unknown
% 1.82/0.66  % (18670)Termination phase: Finite model building SAT solving
% 1.82/0.66  
% 1.82/0.66  % (18670)Memory used [KB]: 6652
% 1.82/0.66  % (18670)Time elapsed: 0.220 s
% 1.82/0.66  % (18670)Instructions burned: 59 (million)
% 1.82/0.66  % (18670)------------------------------
% 1.82/0.66  % (18670)------------------------------
% 1.82/0.66  % (18656)Instruction limit reached!
% 1.82/0.66  % (18656)------------------------------
% 1.82/0.66  % (18656)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.41/0.66  % (18668)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.41/0.66  % (18668)Termination reason: Unknown
% 2.41/0.66  % (18668)Termination phase: Saturation
% 2.41/0.66  
% 2.41/0.66  % (18668)Memory used [KB]: 1918
% 2.41/0.66  % (18668)Time elapsed: 0.207 s
% 2.41/0.66  % (18668)Instructions burned: 75 (million)
% 2.41/0.66  % (18668)------------------------------
% 2.41/0.66  % (18668)------------------------------
% 2.41/0.66  % (18657)Instruction limit reached!
% 2.41/0.66  % (18657)------------------------------
% 2.41/0.66  % (18657)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.41/0.67  % (18658)Instruction limit reached!
% 2.41/0.67  % (18658)------------------------------
% 2.41/0.67  % (18658)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.41/0.67  % (18658)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.41/0.67  % (18658)Termination reason: Unknown
% 2.41/0.67  % (18658)Termination phase: Saturation
% 2.41/0.67  
% 2.41/0.67  % (18658)Memory used [KB]: 5756
% 2.41/0.67  % (18658)Time elapsed: 0.257 s
% 2.41/0.67  % (18658)Instructions burned: 48 (million)
% 2.41/0.67  % (18658)------------------------------
% 2.41/0.67  % (18658)------------------------------
% 2.41/0.68  % (18657)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.41/0.68  % (18657)Termination reason: Unknown
% 2.41/0.68  % (18657)Termination phase: Saturation
% 2.41/0.68  
% 2.41/0.68  % (18657)Memory used [KB]: 6524
% 2.41/0.68  % (18657)Time elapsed: 0.273 s
% 2.41/0.68  % (18657)Instructions burned: 51 (million)
% 2.41/0.68  % (18657)------------------------------
% 2.41/0.68  % (18657)------------------------------
% 2.41/0.68  % (18656)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.41/0.68  % (18656)Termination reason: Unknown
% 2.41/0.68  % (18656)Termination phase: Saturation
% 2.41/0.68  
% 2.41/0.68  % (18656)Memory used [KB]: 6012
% 2.41/0.68  % (18656)Time elapsed: 0.252 s
% 2.41/0.68  % (18656)Instructions burned: 51 (million)
% 2.41/0.68  % (18656)------------------------------
% 2.41/0.68  % (18656)------------------------------
% 2.57/0.71  % (18679)Instruction limit reached!
% 2.57/0.71  % (18679)------------------------------
% 2.57/0.71  % (18679)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.57/0.71  % (18679)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.57/0.71  % (18679)Termination reason: Unknown
% 2.57/0.71  % (18679)Termination phase: Saturation
% 2.57/0.71  
% 2.57/0.71  % (18679)Memory used [KB]: 6908
% 2.57/0.71  % (18679)Time elapsed: 0.048 s
% 2.57/0.71  % (18679)Instructions burned: 69 (million)
% 2.57/0.71  % (18679)------------------------------
% 2.57/0.71  % (18679)------------------------------
% 2.57/0.72  % (18684)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=211:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/211Mi)
% 2.75/0.73  % (18669)First to succeed.
% 2.79/0.74  % (18683)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=388:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/388Mi)
% 2.79/0.75  % (18669)Refutation found. Thanks to Tanya!
% 2.79/0.75  % SZS status Unsatisfiable for theBenchmark
% 2.79/0.75  % SZS output start Proof for theBenchmark
% See solution above
% 2.79/0.75  % (18669)------------------------------
% 2.79/0.75  % (18669)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.79/0.75  % (18669)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.79/0.75  % (18669)Termination reason: Refutation
% 2.79/0.75  
% 2.79/0.75  % (18669)Memory used [KB]: 5756
% 2.79/0.75  % (18669)Time elapsed: 0.342 s
% 2.79/0.75  % (18669)Instructions burned: 63 (million)
% 2.79/0.75  % (18669)------------------------------
% 2.79/0.75  % (18669)------------------------------
% 2.79/0.75  % (18652)Success in time 0.401 s
%------------------------------------------------------------------------------