TSTP Solution File: MGT005-1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : MGT005-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n012.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 : Tue Apr 30 13:54:01 EDT 2024

% Result   : Unsatisfiable 0.20s 0.42s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :   47
% Syntax   : Number of formulae    :  119 (  55 unt;   0 def)
%            Number of atoms       :  424 (   8 equ)
%            Maximal formula atoms :   19 (   3 avg)
%            Number of connectives :  633 ( 328   ~; 287   |;   0   &)
%                                         (  18 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   32 (   7 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   28 (  26 usr;   1 prp; 0-3 aty)
%            Number of functors    :   13 (  13 usr;  12 con; 0-2 aty)
%            Number of variables   :  302 ( 302   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f897,plain,
    $false,
    inference(subsumption_resolution,[],[f872,f773]) ).

fof(f773,plain,
    ~ survival_chance(sk3,sk1(sk12,sk2),sk12),
    inference(unit_resulting_resolution,[],[f593,f555,f156,f14,f676,f38]) ).

fof(f38,plain,
    ! [X2,X0,X1,X5] :
      ( ~ sP3(X0,X2,X1)
      | ~ organization(X0,X2)
      | ~ greater(X2,X1)
      | ~ survival_chance(X0,X5,X1)
      | ~ sP2(X5,X0,X2)
      | ~ organization(X0,X1) ),
    inference(general_splitting,[],[f36,f37_D]) ).

fof(f37,plain,
    ! [X2,X0,X1,X4] :
      ( ~ sP1(X4,X0,X1)
      | greater(X2,X4)
      | sP3(X0,X2,X1) ),
    inference(cnf_transformation,[],[f37_D]) ).

fof(f37_D,plain,
    ! [X1,X2,X0] :
      ( ! [X4] :
          ( ~ sP1(X4,X0,X1)
          | greater(X2,X4) )
    <=> ~ sP3(X0,X2,X1) ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP3])]) ).

fof(f36,plain,
    ! [X2,X0,X1,X4,X5] :
      ( ~ organization(X0,X1)
      | ~ organization(X0,X2)
      | ~ greater(X2,X1)
      | greater(X2,X4)
      | ~ survival_chance(X0,X5,X1)
      | ~ sP1(X4,X0,X1)
      | ~ sP2(X5,X0,X2) ),
    inference(general_splitting,[],[f34,f35_D]) ).

fof(f35,plain,
    ! [X2,X0,X6,X5] :
      ( ~ survival_chance(X0,X6,X2)
      | greater(X5,X6)
      | sP2(X5,X0,X2) ),
    inference(cnf_transformation,[],[f35_D]) ).

fof(f35_D,plain,
    ! [X2,X0,X5] :
      ( ! [X6] :
          ( ~ survival_chance(X0,X6,X2)
          | greater(X5,X6) )
    <=> ~ sP2(X5,X0,X2) ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP2])]) ).

fof(f34,plain,
    ! [X2,X0,X1,X6,X4,X5] :
      ( ~ organization(X0,X1)
      | ~ organization(X0,X2)
      | ~ greater(X2,X1)
      | greater(X2,X4)
      | greater(X5,X6)
      | ~ survival_chance(X0,X6,X2)
      | ~ survival_chance(X0,X5,X1)
      | ~ sP1(X4,X0,X1) ),
    inference(general_splitting,[],[f8,f33_D]) ).

fof(f33,plain,
    ! [X3,X0,X1,X4] :
      ( ~ reorganization(X0,X3,X4)
      | greater(X3,X1)
      | sP1(X4,X0,X1) ),
    inference(cnf_transformation,[],[f33_D]) ).

fof(f33_D,plain,
    ! [X1,X0,X4] :
      ( ! [X3] :
          ( ~ reorganization(X0,X3,X4)
          | greater(X3,X1) )
    <=> ~ sP1(X4,X0,X1) ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP1])]) ).

fof(f8,axiom,
    ! [X2,X3,X0,X1,X6,X4,X5] :
      ( ~ organization(X0,X1)
      | ~ organization(X0,X2)
      | ~ greater(X2,X1)
      | greater(X2,X4)
      | greater(X5,X6)
      | greater(X3,X1)
      | ~ reorganization(X0,X3,X4)
      | ~ survival_chance(X0,X6,X2)
      | ~ survival_chance(X0,X5,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t4_FOL_33) ).

fof(f676,plain,
    sP2(sk1(sk12,sk2),sk3,sk13),
    inference(unit_resulting_resolution,[],[f25,f658,f35]) ).

fof(f658,plain,
    ~ greater(sk1(sk12,sk2),sk8),
    inference(unit_resulting_resolution,[],[f29,f649,f3]) ).

fof(f3,axiom,
    ! [X2,X0,X1] :
      ( ~ greater(X0,X1)
      | ~ greater(X1,X2)
      | greater(X0,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp11_28) ).

fof(f649,plain,
    greater(sk7,sk1(sk12,sk2)),
    inference(unit_resulting_resolution,[],[f591,f570,f597,f32]) ).

fof(f32,plain,
    ! [X3,X0,X1,X4] :
      ( ~ sP0(X4,X0,X1)
      | greater(X4,X3)
      | ~ survival_chance(X0,X3,X1)
      | ~ organization(X0,X1) ),
    inference(general_splitting,[],[f7,f31_D]) ).

fof(f31,plain,
    ! [X2,X0,X1,X4] :
      ( ~ reorganization_free(X0,X1,X2)
      | ~ greater(X2,X1)
      | ~ organization(X0,X2)
      | ~ survival_chance(X0,X4,X2)
      | sP0(X4,X0,X1) ),
    inference(cnf_transformation,[],[f31_D]) ).

fof(f31_D,plain,
    ! [X1,X0,X4] :
      ( ! [X2] :
          ( ~ reorganization_free(X0,X1,X2)
          | ~ greater(X2,X1)
          | ~ organization(X0,X2)
          | ~ survival_chance(X0,X4,X2) )
    <=> ~ sP0(X4,X0,X1) ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP0])]) ).

fof(f7,axiom,
    ! [X2,X3,X0,X1,X4] :
      ( ~ organization(X0,X1)
      | ~ organization(X0,X2)
      | ~ greater(X2,X1)
      | greater(X4,X3)
      | ~ reorganization_free(X0,X1,X2)
      | ~ survival_chance(X0,X4,X2)
      | ~ survival_chance(X0,X3,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t3_FOL_32) ).

fof(f597,plain,
    survival_chance(sk2,sk1(sk12,sk2),sk12),
    inference(unit_resulting_resolution,[],[f591,f4]) ).

fof(f4,axiom,
    ! [X0,X1] :
      ( ~ organization(X0,X1)
      | survival_chance(X0,sk1(X1,X0),X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp12_29) ).

fof(f570,plain,
    sP0(sk7,sk2,sk12),
    inference(unit_resulting_resolution,[],[f24,f13,f23,f555,f31]) ).

fof(f23,axiom,
    reorganization_free(sk2,sk12,sk13),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t5_FOL_48) ).

fof(f13,axiom,
    organization(sk2,sk13),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t5_FOL_38) ).

fof(f24,axiom,
    survival_chance(sk2,sk7,sk13),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t5_FOL_49) ).

fof(f591,plain,
    organization(sk2,sk12),
    inference(unit_resulting_resolution,[],[f11,f77,f571,f66]) ).

fof(f66,plain,
    ! [X3,X0,X1] :
      ( ~ sP17(X0,X3)
      | ~ greater(X3,X1)
      | organization(X0,X3)
      | ~ organization(X0,X1) ),
    inference(general_splitting,[],[f5,f65_D]) ).

fof(f65,plain,
    ! [X2,X3,X0] :
      ( ~ organization(X0,X2)
      | ~ greater(X2,X3)
      | sP17(X0,X3) ),
    inference(cnf_transformation,[],[f65_D]) ).

fof(f65_D,plain,
    ! [X3,X0] :
      ( ! [X2] :
          ( ~ organization(X0,X2)
          | ~ greater(X2,X3) )
    <=> ~ sP17(X0,X3) ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP17])]) ).

fof(f5,axiom,
    ! [X2,X3,X0,X1] :
      ( ~ organization(X0,X1)
      | ~ organization(X0,X2)
      | ~ greater(X2,X3)
      | ~ greater(X3,X1)
      | organization(X0,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp13_30) ).

fof(f571,plain,
    sP17(sk2,sk12),
    inference(unit_resulting_resolution,[],[f13,f555,f65]) ).

fof(f77,plain,
    greater(sk12,sk11),
    inference(unit_resulting_resolution,[],[f19,f6]) ).

fof(f6,axiom,
    ! [X2,X0,X1] :
      ( ~ reorganization(X0,X1,X2)
      | greater(X2,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp7_31) ).

fof(f19,axiom,
    reorganization(sk2,sk11,sk12),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t5_FOL_44) ).

fof(f11,axiom,
    organization(sk2,sk11),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t5_FOL_36) ).

fof(f29,axiom,
    ~ greater(sk7,sk8),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t5_FOL_54) ).

fof(f25,axiom,
    survival_chance(sk3,sk8,sk13),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t5_FOL_50) ).

fof(f14,axiom,
    organization(sk3,sk13),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t5_FOL_39) ).

fof(f156,plain,
    sP3(sk3,sk13,sk12),
    inference(unit_resulting_resolution,[],[f30,f122,f37]) ).

fof(f122,plain,
    sP1(sk13,sk3,sk12),
    inference(unit_resulting_resolution,[],[f82,f20,f33]) ).

fof(f20,axiom,
    reorganization(sk3,sk11,sk13),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t5_FOL_45) ).

fof(f82,plain,
    ~ greater(sk11,sk12),
    inference(unit_resulting_resolution,[],[f77,f2]) ).

fof(f2,axiom,
    ! [X0,X1] :
      ( ~ greater(X1,X0)
      | ~ greater(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp6_2_27) ).

fof(f30,plain,
    ! [X1] : ~ greater(X1,X1),
    inference(equality_resolution,[],[f1]) ).

fof(f1,axiom,
    ! [X0,X1] :
      ( X0 != X1
      | ~ greater(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp6_1_26) ).

fof(f555,plain,
    greater(sk13,sk12),
    inference(unit_resulting_resolution,[],[f14,f20,f532,f39]) ).

fof(f39,plain,
    ! [X2,X3,X1,X5] :
      ( ~ reorganization(X2,X1,X3)
      | greater(X3,X5)
      | ~ organization(X2,X3)
      | sP4(X2,X1,X5) ),
    inference(cnf_transformation,[],[f39_D]) ).

fof(f39_D,plain,
    ! [X5,X1,X2] :
      ( ! [X3] :
          ( ~ reorganization(X2,X1,X3)
          | greater(X3,X5)
          | ~ organization(X2,X3) )
    <=> ~ sP4(X2,X1,X5) ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP4])]) ).

fof(f532,plain,
    ~ sP4(sk3,sk11,sk12),
    inference(unit_resulting_resolution,[],[f11,f19,f12,f227,f215,f232,f48]) ).

fof(f48,plain,
    ! [X2,X0,X1,X5] :
      ( ~ sP8(X0,X2,X1)
      | ~ organization(X2,X1)
      | ~ reorganization(X0,X1,X5)
      | ~ sP4(X2,X1,X5)
      | ~ sP6(X0,X2,X1)
      | ~ sP7(X0,X2,X1)
      | ~ organization(X0,X1) ),
    inference(general_splitting,[],[f46,f47_D]) ).

fof(f47,plain,
    ! [X2,X0,X1,X4] :
      ( ~ class(X0,X4,X1)
      | ~ class(X2,X4,X1)
      | sP8(X0,X2,X1) ),
    inference(cnf_transformation,[],[f47_D]) ).

fof(f47_D,plain,
    ! [X1,X2,X0] :
      ( ! [X4] :
          ( ~ class(X0,X4,X1)
          | ~ class(X2,X4,X1) )
    <=> ~ sP8(X0,X2,X1) ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP8])]) ).

fof(f46,plain,
    ! [X2,X0,X1,X4,X5] :
      ( ~ organization(X0,X1)
      | ~ organization(X2,X1)
      | ~ class(X0,X4,X1)
      | ~ class(X2,X4,X1)
      | ~ reorganization(X0,X1,X5)
      | ~ sP4(X2,X1,X5)
      | ~ sP6(X0,X2,X1)
      | ~ sP7(X0,X2,X1) ),
    inference(general_splitting,[],[f44,f45_D]) ).

fof(f45,plain,
    ! [X2,X0,X1,X7] :
      ( ~ sP5(X7,X2,X1)
      | ~ complexity(X0,X7,X1)
      | sP7(X0,X2,X1) ),
    inference(cnf_transformation,[],[f45_D]) ).

fof(f45_D,plain,
    ! [X1,X2,X0] :
      ( ! [X7] :
          ( ~ sP5(X7,X2,X1)
          | ~ complexity(X0,X7,X1) )
    <=> ~ sP7(X0,X2,X1) ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP7])]) ).

fof(f44,plain,
    ! [X2,X0,X1,X7,X4,X5] :
      ( ~ organization(X0,X1)
      | ~ organization(X2,X1)
      | ~ complexity(X0,X7,X1)
      | ~ class(X0,X4,X1)
      | ~ class(X2,X4,X1)
      | ~ reorganization(X0,X1,X5)
      | ~ sP4(X2,X1,X5)
      | ~ sP5(X7,X2,X1)
      | ~ sP6(X0,X2,X1) ),
    inference(general_splitting,[],[f42,f43_D]) ).

fof(f43,plain,
    ! [X2,X0,X1,X6] :
      ( ~ reorganization_type(X2,X6,X1)
      | ~ reorganization_type(X0,X6,X1)
      | sP6(X0,X2,X1) ),
    inference(cnf_transformation,[],[f43_D]) ).

fof(f43_D,plain,
    ! [X1,X2,X0] :
      ( ! [X6] :
          ( ~ reorganization_type(X2,X6,X1)
          | ~ reorganization_type(X0,X6,X1) )
    <=> ~ sP6(X0,X2,X1) ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP6])]) ).

fof(f42,plain,
    ! [X2,X0,X1,X6,X7,X4,X5] :
      ( ~ organization(X0,X1)
      | ~ organization(X2,X1)
      | ~ complexity(X0,X7,X1)
      | ~ reorganization_type(X2,X6,X1)
      | ~ reorganization_type(X0,X6,X1)
      | ~ class(X0,X4,X1)
      | ~ class(X2,X4,X1)
      | ~ reorganization(X0,X1,X5)
      | ~ sP4(X2,X1,X5)
      | ~ sP5(X7,X2,X1) ),
    inference(general_splitting,[],[f40,f41_D]) ).

fof(f41,plain,
    ! [X2,X1,X8,X7] :
      ( ~ complexity(X2,X8,X1)
      | ~ greater(X8,X7)
      | sP5(X7,X2,X1) ),
    inference(cnf_transformation,[],[f41_D]) ).

fof(f41_D,plain,
    ! [X1,X2,X7] :
      ( ! [X8] :
          ( ~ complexity(X2,X8,X1)
          | ~ greater(X8,X7) )
    <=> ~ sP5(X7,X2,X1) ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP5])]) ).

fof(f40,plain,
    ! [X2,X0,X1,X8,X6,X7,X4,X5] :
      ( ~ organization(X0,X1)
      | ~ organization(X2,X1)
      | ~ greater(X8,X7)
      | ~ complexity(X2,X8,X1)
      | ~ complexity(X0,X7,X1)
      | ~ reorganization_type(X2,X6,X1)
      | ~ reorganization_type(X0,X6,X1)
      | ~ class(X0,X4,X1)
      | ~ class(X2,X4,X1)
      | ~ reorganization(X0,X1,X5)
      | ~ sP4(X2,X1,X5) ),
    inference(general_splitting,[],[f9,f39_D]) ).

fof(f9,axiom,
    ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
      ( ~ organization(X0,X1)
      | ~ organization(X2,X1)
      | ~ organization(X2,X3)
      | ~ greater(X8,X7)
      | greater(X3,X5)
      | ~ complexity(X2,X8,X1)
      | ~ complexity(X0,X7,X1)
      | ~ reorganization_type(X2,X6,X1)
      | ~ reorganization_type(X0,X6,X1)
      | ~ class(X0,X4,X1)
      | ~ class(X2,X4,X1)
      | ~ reorganization(X2,X1,X3)
      | ~ reorganization(X0,X1,X5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a10_FOL_34) ).

fof(f232,plain,
    sP8(sk2,sk3,sk11),
    inference(unit_resulting_resolution,[],[f16,f15,f47]) ).

fof(f15,axiom,
    class(sk2,sk5,sk11),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t5_FOL_40) ).

fof(f16,axiom,
    class(sk3,sk5,sk11),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t5_FOL_41) ).

fof(f215,plain,
    sP6(sk2,sk3,sk11),
    inference(unit_resulting_resolution,[],[f21,f22,f43]) ).

fof(f22,axiom,
    reorganization_type(sk3,sk4,sk11),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t5_FOL_47) ).

fof(f21,axiom,
    reorganization_type(sk2,sk4,sk11),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t5_FOL_46) ).

fof(f227,plain,
    sP7(sk2,sk3,sk11),
    inference(unit_resulting_resolution,[],[f26,f203,f45]) ).

fof(f203,plain,
    sP5(sk9,sk3,sk11),
    inference(unit_resulting_resolution,[],[f28,f27,f41]) ).

fof(f27,axiom,
    complexity(sk3,sk10,sk11),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t5_FOL_52) ).

fof(f28,axiom,
    greater(sk10,sk9),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t5_FOL_53) ).

fof(f26,axiom,
    complexity(sk2,sk9,sk11),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t5_FOL_51) ).

fof(f12,axiom,
    organization(sk3,sk11),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t5_FOL_37) ).

fof(f593,plain,
    organization(sk3,sk12),
    inference(unit_resulting_resolution,[],[f12,f77,f572,f66]) ).

fof(f572,plain,
    sP17(sk3,sk12),
    inference(unit_resulting_resolution,[],[f14,f555,f65]) ).

fof(f872,plain,
    survival_chance(sk3,sk1(sk12,sk2),sk12),
    inference(superposition,[],[f606,f860]) ).

fof(f860,plain,
    sk1(sk12,sk2) = sk1(sk12,sk3),
    inference(unit_resulting_resolution,[],[f768,f597,f732,f55]) ).

fof(f55,plain,
    ! [X3,X0,X8,X9] :
      ( ~ survival_chance(X0,X8,X3)
      | greater(X8,X9)
      | X8 = X9
      | sP12(X3,X0,X9) ),
    inference(cnf_transformation,[],[f55_D]) ).

fof(f55_D,plain,
    ! [X9,X0,X3] :
      ( ! [X8] :
          ( ~ survival_chance(X0,X8,X3)
          | greater(X8,X9)
          | X8 = X9 )
    <=> ~ sP12(X3,X0,X9) ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP12])]) ).

fof(f732,plain,
    ~ greater(sk1(sk12,sk2),sk1(sk12,sk3)),
    inference(unit_resulting_resolution,[],[f658,f722,f3]) ).

fof(f722,plain,
    greater(sk1(sk12,sk3),sk8),
    inference(unit_resulting_resolution,[],[f25,f692,f35]) ).

fof(f692,plain,
    ~ sP2(sk1(sk12,sk3),sk3,sk13),
    inference(unit_resulting_resolution,[],[f593,f14,f555,f156,f606,f38]) ).

fof(f768,plain,
    ~ sP12(sk12,sk2,sk1(sk12,sk3)),
    inference(unit_resulting_resolution,[],[f606,f767,f57]) ).

fof(f57,plain,
    ! [X2,X3,X0,X9] :
      ( ~ sP12(X3,X0,X9)
      | ~ survival_chance(X2,X9,X3)
      | sP13(X0,X3,X2) ),
    inference(cnf_transformation,[],[f57_D]) ).

fof(f57_D,plain,
    ! [X2,X3,X0] :
      ( ! [X9] :
          ( ~ sP12(X3,X0,X9)
          | ~ survival_chance(X2,X9,X3) )
    <=> ~ sP13(X0,X3,X2) ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP13])]) ).

fof(f767,plain,
    ~ sP13(sk2,sk12,sk3),
    inference(unit_resulting_resolution,[],[f591,f593,f19,f750,f59]) ).

fof(f59,plain,
    ! [X2,X3,X0,X1] :
      ( ~ sP13(X0,X3,X2)
      | ~ organization(X0,X3)
      | ~ reorganization(X0,X1,X3)
      | ~ organization(X2,X3)
      | sP14(X0,X2,X1) ),
    inference(cnf_transformation,[],[f59_D]) ).

fof(f59_D,plain,
    ! [X1,X2,X0] :
      ( ! [X3] :
          ( ~ sP13(X0,X3,X2)
          | ~ organization(X0,X3)
          | ~ reorganization(X0,X1,X3)
          | ~ organization(X2,X3) )
    <=> ~ sP14(X0,X2,X1) ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP14])]) ).

fof(f750,plain,
    ~ sP14(sk2,sk3,sk11),
    inference(unit_resulting_resolution,[],[f11,f17,f18,f12,f71,f250,f245,f256,f64]) ).

fof(f64,plain,
    ! [X2,X0,X1,X5] :
      ( ~ sP16(X0,X2,X1)
      | ~ organization(X2,X1)
      | ~ survival_chance(X2,X5,X1)
      | ~ survival_chance(X0,X5,X1)
      | ~ sP9(X2,X1)
      | ~ sP11(X2,X0,X1)
      | ~ sP14(X0,X2,X1)
      | ~ sP15(X0,X2,X1)
      | ~ organization(X0,X1) ),
    inference(general_splitting,[],[f62,f63_D]) ).

fof(f63,plain,
    ! [X2,X0,X1,X4] :
      ( ~ class(X0,X4,X1)
      | ~ class(X2,X4,X1)
      | sP16(X0,X2,X1) ),
    inference(cnf_transformation,[],[f63_D]) ).

fof(f63_D,plain,
    ! [X1,X2,X0] :
      ( ! [X4] :
          ( ~ class(X0,X4,X1)
          | ~ class(X2,X4,X1) )
    <=> ~ sP16(X0,X2,X1) ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP16])]) ).

fof(f62,plain,
    ! [X2,X0,X1,X4,X5] :
      ( ~ organization(X0,X1)
      | ~ organization(X2,X1)
      | ~ class(X0,X4,X1)
      | ~ class(X2,X4,X1)
      | ~ survival_chance(X2,X5,X1)
      | ~ survival_chance(X0,X5,X1)
      | ~ sP9(X2,X1)
      | ~ sP11(X2,X0,X1)
      | ~ sP14(X0,X2,X1)
      | ~ sP15(X0,X2,X1) ),
    inference(general_splitting,[],[f60,f61_D]) ).

fof(f61,plain,
    ! [X2,X0,X1,X7] :
      ( ~ reorganization_type(X0,X7,X1)
      | ~ reorganization_type(X2,X7,X1)
      | sP15(X0,X2,X1) ),
    inference(cnf_transformation,[],[f61_D]) ).

fof(f61_D,plain,
    ! [X1,X2,X0] :
      ( ! [X7] :
          ( ~ reorganization_type(X0,X7,X1)
          | ~ reorganization_type(X2,X7,X1) )
    <=> ~ sP15(X0,X2,X1) ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP15])]) ).

fof(f60,plain,
    ! [X2,X0,X1,X7,X4,X5] :
      ( ~ organization(X0,X1)
      | ~ organization(X2,X1)
      | ~ reorganization_type(X0,X7,X1)
      | ~ class(X0,X4,X1)
      | ~ class(X2,X4,X1)
      | ~ reorganization_type(X2,X7,X1)
      | ~ survival_chance(X2,X5,X1)
      | ~ survival_chance(X0,X5,X1)
      | ~ sP9(X2,X1)
      | ~ sP11(X2,X0,X1)
      | ~ sP14(X0,X2,X1) ),
    inference(general_splitting,[],[f58,f59_D]) ).

fof(f58,plain,
    ! [X2,X3,X0,X1,X7,X4,X5] :
      ( ~ organization(X2,X3)
      | ~ organization(X0,X3)
      | ~ organization(X0,X1)
      | ~ organization(X2,X1)
      | ~ reorganization_type(X0,X7,X1)
      | ~ class(X0,X4,X1)
      | ~ class(X2,X4,X1)
      | ~ reorganization_type(X2,X7,X1)
      | ~ reorganization(X0,X1,X3)
      | ~ survival_chance(X2,X5,X1)
      | ~ survival_chance(X0,X5,X1)
      | ~ sP9(X2,X1)
      | ~ sP11(X2,X0,X1)
      | ~ sP13(X0,X3,X2) ),
    inference(general_splitting,[],[f56,f57_D]) ).

fof(f56,plain,
    ! [X2,X3,X0,X1,X9,X7,X4,X5] :
      ( ~ organization(X2,X3)
      | ~ organization(X0,X3)
      | ~ organization(X0,X1)
      | ~ organization(X2,X1)
      | ~ reorganization_type(X0,X7,X1)
      | ~ class(X0,X4,X1)
      | ~ class(X2,X4,X1)
      | ~ reorganization_type(X2,X7,X1)
      | ~ reorganization(X0,X1,X3)
      | ~ survival_chance(X2,X5,X1)
      | ~ survival_chance(X2,X9,X3)
      | ~ survival_chance(X0,X5,X1)
      | ~ sP9(X2,X1)
      | ~ sP11(X2,X0,X1)
      | ~ sP12(X3,X0,X9) ),
    inference(general_splitting,[],[f54,f55_D]) ).

fof(f54,plain,
    ! [X2,X3,X0,X1,X8,X9,X7,X4,X5] :
      ( ~ organization(X2,X3)
      | ~ organization(X0,X3)
      | ~ organization(X0,X1)
      | ~ organization(X2,X1)
      | X8 = X9
      | greater(X8,X9)
      | ~ reorganization_type(X0,X7,X1)
      | ~ class(X0,X4,X1)
      | ~ class(X2,X4,X1)
      | ~ reorganization_type(X2,X7,X1)
      | ~ reorganization(X0,X1,X3)
      | ~ survival_chance(X2,X5,X1)
      | ~ survival_chance(X0,X8,X3)
      | ~ survival_chance(X2,X9,X3)
      | ~ survival_chance(X0,X5,X1)
      | ~ sP9(X2,X1)
      | ~ sP11(X2,X0,X1) ),
    inference(general_splitting,[],[f52,f53_D]) ).

fof(f53,plain,
    ! [X2,X0,X11,X1] :
      ( ~ sP10(X0,X11,X1)
      | ~ complexity(X2,X11,X1)
      | sP11(X2,X0,X1) ),
    inference(cnf_transformation,[],[f53_D]) ).

fof(f53_D,plain,
    ! [X1,X0,X2] :
      ( ! [X11] :
          ( ~ sP10(X0,X11,X1)
          | ~ complexity(X2,X11,X1) )
    <=> ~ sP11(X2,X0,X1) ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP11])]) ).

fof(f52,plain,
    ! [X2,X3,X0,X11,X1,X8,X9,X7,X4,X5] :
      ( ~ organization(X2,X3)
      | ~ organization(X0,X3)
      | ~ organization(X0,X1)
      | ~ organization(X2,X1)
      | X8 = X9
      | greater(X8,X9)
      | ~ reorganization_type(X0,X7,X1)
      | ~ class(X0,X4,X1)
      | ~ class(X2,X4,X1)
      | ~ reorganization_type(X2,X7,X1)
      | ~ complexity(X2,X11,X1)
      | ~ reorganization(X0,X1,X3)
      | ~ survival_chance(X2,X5,X1)
      | ~ survival_chance(X0,X8,X3)
      | ~ survival_chance(X2,X9,X3)
      | ~ survival_chance(X0,X5,X1)
      | ~ sP9(X2,X1)
      | ~ sP10(X0,X11,X1) ),
    inference(general_splitting,[],[f50,f51_D]) ).

fof(f51,plain,
    ! [X10,X0,X11,X1] :
      ( ~ complexity(X0,X10,X1)
      | ~ greater(X11,X10)
      | sP10(X0,X11,X1) ),
    inference(cnf_transformation,[],[f51_D]) ).

fof(f51_D,plain,
    ! [X1,X11,X0] :
      ( ! [X10] :
          ( ~ complexity(X0,X10,X1)
          | ~ greater(X11,X10) )
    <=> ~ sP10(X0,X11,X1) ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP10])]) ).

fof(f50,plain,
    ! [X2,X3,X10,X0,X11,X1,X8,X9,X7,X4,X5] :
      ( ~ organization(X2,X3)
      | ~ organization(X0,X3)
      | ~ organization(X0,X1)
      | ~ organization(X2,X1)
      | ~ greater(X11,X10)
      | X8 = X9
      | greater(X8,X9)
      | ~ reorganization_type(X0,X7,X1)
      | ~ class(X0,X4,X1)
      | ~ class(X2,X4,X1)
      | ~ reorganization_type(X2,X7,X1)
      | ~ complexity(X0,X10,X1)
      | ~ complexity(X2,X11,X1)
      | ~ reorganization(X0,X1,X3)
      | ~ survival_chance(X2,X5,X1)
      | ~ survival_chance(X0,X8,X3)
      | ~ survival_chance(X2,X9,X3)
      | ~ survival_chance(X0,X5,X1)
      | ~ sP9(X2,X1) ),
    inference(general_splitting,[],[f10,f49_D]) ).

fof(f49,plain,
    ! [X2,X1,X6] :
      ( ~ reorganization(X2,X1,X6)
      | sP9(X2,X1) ),
    inference(cnf_transformation,[],[f49_D]) ).

fof(f49_D,plain,
    ! [X1,X2] :
      ( ! [X6] : ~ reorganization(X2,X1,X6)
    <=> ~ sP9(X2,X1) ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP9])]) ).

fof(f10,axiom,
    ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5] :
      ( ~ organization(X2,X3)
      | ~ organization(X0,X3)
      | ~ organization(X0,X1)
      | ~ organization(X2,X1)
      | ~ greater(X11,X10)
      | X8 = X9
      | greater(X8,X9)
      | ~ reorganization_type(X0,X7,X1)
      | ~ class(X0,X4,X1)
      | ~ class(X2,X4,X1)
      | ~ reorganization_type(X2,X7,X1)
      | ~ complexity(X0,X10,X1)
      | ~ complexity(X2,X11,X1)
      | ~ reorganization(X2,X1,X6)
      | ~ reorganization(X0,X1,X3)
      | ~ survival_chance(X2,X5,X1)
      | ~ survival_chance(X0,X8,X3)
      | ~ survival_chance(X2,X9,X3)
      | ~ survival_chance(X0,X5,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a11_FOL_35) ).

fof(f256,plain,
    sP16(sk2,sk3,sk11),
    inference(unit_resulting_resolution,[],[f16,f15,f63]) ).

fof(f245,plain,
    sP11(sk3,sk2,sk11),
    inference(unit_resulting_resolution,[],[f27,f208,f53]) ).

fof(f208,plain,
    sP10(sk2,sk10,sk11),
    inference(unit_resulting_resolution,[],[f28,f26,f51]) ).

fof(f250,plain,
    sP15(sk2,sk3,sk11),
    inference(unit_resulting_resolution,[],[f22,f21,f61]) ).

fof(f71,plain,
    sP9(sk3,sk11),
    inference(unit_resulting_resolution,[],[f20,f49]) ).

fof(f18,axiom,
    survival_chance(sk3,sk6,sk11),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t5_FOL_43) ).

fof(f17,axiom,
    survival_chance(sk2,sk6,sk11),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t5_FOL_42) ).

fof(f606,plain,
    survival_chance(sk3,sk1(sk12,sk3),sk12),
    inference(unit_resulting_resolution,[],[f593,f4]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem    : MGT005-1 : TPTP v8.1.2. Released v2.4.0.
% 0.12/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.35  % Computer : n012.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Tue Apr 30 03:31:42 EDT 2024
% 0.13/0.35  % CPUTime    : 
% 0.13/0.35  % (7187)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.37  % (7188)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.13/0.37  TRYING [1]
% 0.13/0.37  TRYING [2]
% 0.13/0.37  TRYING [3]
% 0.13/0.38  TRYING [4]
% 0.13/0.38  % (7190)WARNING: value z3 for option sas not known
% 0.13/0.38  % (7189)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.13/0.38  % (7192)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_531 on theBenchmark for (531ds/0Mi)
% 0.13/0.38  % (7191)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.13/0.38  % (7190)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.13/0.38  % (7194)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.13/0.38  % (7193)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.13/0.39  TRYING [5]
% 0.13/0.39  TRYING [1]
% 0.13/0.39  TRYING [2]
% 0.13/0.39  TRYING [3]
% 0.13/0.40  TRYING [6]
% 0.13/0.40  TRYING [4]
% 0.20/0.42  TRYING [5]
% 0.20/0.42  % (7194)First to succeed.
% 0.20/0.42  % (7194)Refutation found. Thanks to Tanya!
% 0.20/0.42  % SZS status Unsatisfiable for theBenchmark
% 0.20/0.42  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.43  % (7194)------------------------------
% 0.20/0.43  % (7194)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.20/0.43  % (7194)Termination reason: Refutation
% 0.20/0.43  
% 0.20/0.43  % (7194)Memory used [KB]: 1158
% 0.20/0.43  % (7194)Time elapsed: 0.043 s
% 0.20/0.43  % (7194)Instructions burned: 48 (million)
% 0.20/0.43  % (7194)------------------------------
% 0.20/0.43  % (7194)------------------------------
% 0.20/0.43  % (7187)Success in time 0.071 s
%------------------------------------------------------------------------------