TSTP Solution File: MGT009-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : MGT009-1 : TPTP v8.1.0. Released v2.4.0.
% 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 : n017.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 17:51:20 EDT 2022

% Result   : Unsatisfiable 1.37s 0.53s
% Output   : Refutation 1.37s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   23
%            Number of leaves      :   15
% Syntax   : Number of formulae    :   38 (  15 unt;   0 def)
%            Number of atoms       :  147 (   0 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives :  219 ( 110   ~; 109   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   20 (   7 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    8 (   7 usr;   1 prp; 0-3 aty)
%            Number of functors    :   10 (  10 usr;   9 con; 0-2 aty)
%            Number of variables   :   78 (  78   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f43,plain,
    $false,
    inference(subsumption_resolution,[],[f42,f16]) ).

fof(f16,axiom,
    ~ greater(sk6,sk5),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t9_FOL_16) ).

fof(f42,plain,
    greater(sk6,sk5),
    inference(resolution,[],[f41,f11]) ).

fof(f11,axiom,
    reproducibility(sk2,sk5,sk9),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t9_FOL_11) ).

fof(f41,plain,
    ! [X0] :
      ( ~ reproducibility(sk2,X0,sk9)
      | greater(sk6,X0) ),
    inference(subsumption_resolution,[],[f40,f7]) ).

fof(f7,axiom,
    reorganization_free(sk2,sk9,sk9),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t9_FOL_7) ).

fof(f40,plain,
    ! [X0] :
      ( ~ reorganization_free(sk2,sk9,sk9)
      | greater(sk6,X0)
      | ~ reproducibility(sk2,X0,sk9) ),
    inference(subsumption_resolution,[],[f39,f5]) ).

fof(f5,axiom,
    organization(sk2,sk9),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t9_FOL_5) ).

fof(f39,plain,
    ! [X0] :
      ( ~ organization(sk2,sk9)
      | ~ reproducibility(sk2,X0,sk9)
      | ~ reorganization_free(sk2,sk9,sk9)
      | greater(sk6,X0) ),
    inference(duplicate_literal_removal,[],[f38]) ).

fof(f38,plain,
    ! [X0] :
      ( ~ reorganization_free(sk2,sk9,sk9)
      | greater(sk6,X0)
      | ~ organization(sk2,sk9)
      | ~ organization(sk2,sk9)
      | ~ reproducibility(sk2,X0,sk9) ),
    inference(resolution,[],[f37,f1]) ).

fof(f1,axiom,
    ! [X0,X1] :
      ( inertia(X0,sk1(X1,X0),X1)
      | ~ organization(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp5_1) ).

fof(f37,plain,
    ! [X2,X0,X1] :
      ( ~ inertia(X0,sk1(sk9,sk2),X1)
      | ~ reorganization_free(X0,X1,X1)
      | ~ organization(X0,X1)
      | ~ reproducibility(X0,X2,X1)
      | greater(sk6,X2) ),
    inference(resolution,[],[f36,f12]) ).

fof(f12,axiom,
    reproducibility(sk3,sk6,sk10),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t9_FOL_12) ).

fof(f36,plain,
    ! [X2,X3,X0,X1] :
      ( ~ reproducibility(sk3,X3,sk10)
      | ~ inertia(X0,sk1(sk9,sk2),X1)
      | greater(X3,X2)
      | ~ organization(X0,X1)
      | ~ reorganization_free(X0,X1,X1)
      | ~ reproducibility(X0,X2,X1) ),
    inference(subsumption_resolution,[],[f35,f6]) ).

fof(f6,axiom,
    organization(sk3,sk10),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t9_FOL_6) ).

fof(f35,plain,
    ! [X2,X3,X0,X1] :
      ( ~ organization(sk3,sk10)
      | ~ reproducibility(X0,X2,X1)
      | greater(X3,X2)
      | ~ reorganization_free(X0,X1,X1)
      | ~ reproducibility(sk3,X3,sk10)
      | ~ organization(X0,X1)
      | ~ inertia(X0,sk1(sk9,sk2),X1) ),
    inference(subsumption_resolution,[],[f34,f8]) ).

fof(f8,axiom,
    reorganization_free(sk3,sk10,sk10),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t9_FOL_8) ).

fof(f34,plain,
    ! [X2,X3,X0,X1] :
      ( ~ reproducibility(sk3,X3,sk10)
      | ~ reorganization_free(X0,X1,X1)
      | greater(X3,X2)
      | ~ reorganization_free(sk3,sk10,sk10)
      | ~ organization(X0,X1)
      | ~ reproducibility(X0,X2,X1)
      | ~ inertia(X0,sk1(sk9,sk2),X1)
      | ~ organization(sk3,sk10) ),
    inference(duplicate_literal_removal,[],[f33]) ).

fof(f33,plain,
    ! [X2,X3,X0,X1] :
      ( ~ organization(sk3,sk10)
      | greater(X3,X2)
      | ~ organization(X0,X1)
      | ~ reorganization_free(X0,X1,X1)
      | ~ reorganization_free(sk3,sk10,sk10)
      | ~ reproducibility(sk3,X3,sk10)
      | ~ reproducibility(X0,X2,X1)
      | ~ organization(sk3,sk10)
      | ~ inertia(X0,sk1(sk9,sk2),X1) ),
    inference(resolution,[],[f31,f1]) ).

fof(f31,plain,
    ! [X10,X11,X8,X9,X7,X12] :
      ( ~ inertia(X11,sk1(sk10,sk3),X12)
      | ~ inertia(X7,sk1(sk9,sk2),X8)
      | ~ reproducibility(X7,X10,X8)
      | ~ reorganization_free(X11,X12,X12)
      | greater(X9,X10)
      | ~ organization(X7,X8)
      | ~ organization(X11,X12)
      | ~ reproducibility(X11,X9,X12)
      | ~ reorganization_free(X7,X8,X8) ),
    inference(resolution,[],[f29,f3]) ).

fof(f3,axiom,
    ! [X2,X3,X0,X1,X6,X7,X4,X5] :
      ( ~ greater(X7,X6)
      | ~ organization(X0,X1)
      | greater(X5,X4)
      | ~ inertia(X0,X6,X1)
      | ~ reorganization_free(X0,X1,X1)
      | ~ reproducibility(X0,X4,X1)
      | ~ reproducibility(X2,X5,X3)
      | ~ organization(X2,X3)
      | ~ reorganization_free(X2,X3,X3)
      | ~ inertia(X2,X7,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a3_FOL_3) ).

fof(f29,plain,
    greater(sk1(sk10,sk3),sk1(sk9,sk2)),
    inference(subsumption_resolution,[],[f28,f5]) ).

fof(f28,plain,
    ( ~ organization(sk2,sk9)
    | greater(sk1(sk10,sk3),sk1(sk9,sk2)) ),
    inference(resolution,[],[f27,f1]) ).

fof(f27,plain,
    ! [X0] :
      ( ~ inertia(sk2,X0,sk9)
      | greater(sk1(sk10,sk3),X0) ),
    inference(subsumption_resolution,[],[f26,f9]) ).

fof(f9,axiom,
    class(sk2,sk4,sk9),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t9_FOL_9) ).

fof(f26,plain,
    ! [X0] :
      ( ~ class(sk2,sk4,sk9)
      | ~ inertia(sk2,X0,sk9)
      | greater(sk1(sk10,sk3),X0) ),
    inference(subsumption_resolution,[],[f25,f5]) ).

fof(f25,plain,
    ! [X0] :
      ( greater(sk1(sk10,sk3),X0)
      | ~ organization(sk2,sk9)
      | ~ class(sk2,sk4,sk9)
      | ~ inertia(sk2,X0,sk9) ),
    inference(resolution,[],[f24,f13]) ).

fof(f13,axiom,
    size(sk2,sk7,sk9),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t9_FOL_13) ).

fof(f24,plain,
    ! [X2,X0,X1] :
      ( ~ size(X1,sk7,X2)
      | greater(sk1(sk10,sk3),X0)
      | ~ inertia(X1,X0,X2)
      | ~ organization(X1,X2)
      | ~ class(X1,sk4,X2) ),
    inference(subsumption_resolution,[],[f23,f6]) ).

fof(f23,plain,
    ! [X2,X0,X1] :
      ( ~ size(X1,sk7,X2)
      | ~ organization(sk3,sk10)
      | ~ class(X1,sk4,X2)
      | greater(sk1(sk10,sk3),X0)
      | ~ inertia(X1,X0,X2)
      | ~ organization(X1,X2) ),
    inference(resolution,[],[f22,f1]) ).

fof(f22,plain,
    ! [X2,X3,X0,X1] :
      ( ~ inertia(sk3,X3,sk10)
      | greater(X3,X2)
      | ~ class(X0,sk4,X1)
      | ~ inertia(X0,X2,X1)
      | ~ size(X0,sk7,X1)
      | ~ organization(X0,X1) ),
    inference(resolution,[],[f21,f10]) ).

fof(f10,axiom,
    class(sk3,sk4,sk10),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t9_FOL_10) ).

fof(f21,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ class(sk3,X1,sk10)
      | ~ class(X0,X1,X2)
      | ~ organization(X0,X2)
      | ~ size(X0,sk7,X2)
      | ~ inertia(X0,X4,X2)
      | greater(X3,X4)
      | ~ inertia(sk3,X3,sk10) ),
    inference(subsumption_resolution,[],[f20,f6]) ).

fof(f20,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ inertia(sk3,X3,sk10)
      | ~ size(X0,sk7,X2)
      | ~ inertia(X0,X4,X2)
      | ~ class(sk3,X1,sk10)
      | greater(X3,X4)
      | ~ class(X0,X1,X2)
      | ~ organization(sk3,sk10)
      | ~ organization(X0,X2) ),
    inference(resolution,[],[f19,f14]) ).

fof(f14,axiom,
    size(sk3,sk8,sk10),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t9_FOL_14) ).

fof(f19,plain,
    ! [X2,X3,X0,X1,X6,X4,X5] :
      ( ~ size(X2,sk8,X3)
      | ~ class(X0,X6,X1)
      | ~ inertia(X2,X4,X3)
      | ~ organization(X0,X1)
      | ~ organization(X2,X3)
      | ~ class(X2,X6,X3)
      | greater(X4,X5)
      | ~ size(X0,sk7,X1)
      | ~ inertia(X0,X5,X1) ),
    inference(resolution,[],[f4,f15]) ).

fof(f15,axiom,
    greater(sk8,sk7),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t9_FOL_15) ).

fof(f4,axiom,
    ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
      ( ~ greater(X6,X5)
      | ~ size(X0,X5,X1)
      | ~ organization(X2,X3)
      | ~ organization(X0,X1)
      | greater(X8,X7)
      | ~ inertia(X2,X8,X3)
      | ~ size(X2,X6,X3)
      | ~ class(X0,X4,X1)
      | ~ class(X2,X4,X3)
      | ~ inertia(X0,X7,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a5_FOL_4) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : MGT009-1 : TPTP v8.1.0. Released v2.4.0.
% 0.07/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.34  % Computer : n017.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit   : 300
% 0.14/0.34  % WCLimit    : 300
% 0.14/0.34  % DateTime   : Tue Aug 30 02:35:50 EDT 2022
% 0.14/0.34  % CPUTime    : 
% 0.21/0.52  % (24150)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.21/0.52  % (24164)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)
% 0.21/0.52  % (24156)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)
% 1.37/0.52  % (24144)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)
% 1.37/0.53  % (24150)Instruction limit reached!
% 1.37/0.53  % (24150)------------------------------
% 1.37/0.53  % (24150)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.37/0.53  % (24150)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.37/0.53  % (24150)Termination reason: Unknown
% 1.37/0.53  % (24150)Termination phase: Saturation
% 1.37/0.53  
% 1.37/0.53  % (24150)Memory used [KB]: 5373
% 1.37/0.53  % (24150)Time elapsed: 0.121 s
% 1.37/0.53  % (24150)Instructions burned: 3 (million)
% 1.37/0.53  % (24150)------------------------------
% 1.37/0.53  % (24150)------------------------------
% 1.37/0.53  % (24169)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)
% 1.37/0.53  % (24143)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)
% 1.37/0.53  % (24169)First to succeed.
% 1.37/0.53  % (24151)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)
% 1.37/0.53  % (24169)Refutation found. Thanks to Tanya!
% 1.37/0.53  % SZS status Unsatisfiable for theBenchmark
% 1.37/0.53  % SZS output start Proof for theBenchmark
% See solution above
% 1.37/0.53  % (24169)------------------------------
% 1.37/0.53  % (24169)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.37/0.53  % (24169)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.37/0.53  % (24169)Termination reason: Refutation
% 1.37/0.53  
% 1.37/0.53  % (24169)Memory used [KB]: 1023
% 1.37/0.53  % (24169)Time elapsed: 0.140 s
% 1.37/0.53  % (24169)Instructions burned: 3 (million)
% 1.37/0.53  % (24169)------------------------------
% 1.37/0.53  % (24169)------------------------------
% 1.37/0.53  % (24141)Success in time 0.178 s
%------------------------------------------------------------------------------