TSTP Solution File: MGT011-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : MGT011-1 : 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 : n023.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 17:51:21 EDT 2022

% Result   : Unsatisfiable 0.18s 0.50s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   20
%            Number of leaves      :   13
% Syntax   : Number of formulae    :   44 (  13 unt;   0 def)
%            Number of atoms       :  147 (   8 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives :  208 ( 105   ~; 103   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   20 (   6 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    8 (   6 usr;   1 prp; 0-3 aty)
%            Number of functors    :    7 (   7 usr;   5 con; 0-2 aty)
%            Number of variables   :   80 (  80   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f71,plain,
    $false,
    inference(subsumption_resolution,[],[f70,f26]) ).

fof(f26,plain,
    ~ greater(sk1(sk6,sk3),sk1(sk7,sk3)),
    inference(resolution,[],[f25,f3]) ).

fof(f3,axiom,
    ! [X0,X1] :
      ( ~ greater(X1,X0)
      | ~ greater(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp6_2_22) ).

fof(f25,plain,
    greater(sk1(sk7,sk3),sk1(sk6,sk3)),
    inference(subsumption_resolution,[],[f24,f8]) ).

fof(f8,axiom,
    organization(sk3,sk6),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t11_FOL_27) ).

fof(f24,plain,
    ( greater(sk1(sk7,sk3),sk1(sk6,sk3))
    | ~ organization(sk3,sk6) ),
    inference(resolution,[],[f23,f1]) ).

fof(f1,axiom,
    ! [X0,X1] :
      ( inertia(X0,sk1(X1,X0),X1)
      | ~ organization(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp5_20) ).

fof(f23,plain,
    ! [X0] :
      ( ~ inertia(sk3,X0,sk6)
      | greater(sk1(sk7,sk3),X0) ),
    inference(subsumption_resolution,[],[f22,f9]) ).

fof(f9,axiom,
    organization(sk3,sk7),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t11_FOL_28) ).

fof(f22,plain,
    ! [X0] :
      ( ~ organization(sk3,sk7)
      | greater(sk1(sk7,sk3),X0)
      | ~ inertia(sk3,X0,sk6) ),
    inference(resolution,[],[f1,f19]) ).

fof(f19,plain,
    ! [X0,X1] :
      ( ~ inertia(sk3,X1,sk7)
      | ~ inertia(sk3,X0,sk6)
      | greater(X1,X0) ),
    inference(subsumption_resolution,[],[f18,f13]) ).

fof(f13,axiom,
    greater(sk7,sk6),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t11_FOL_32) ).

fof(f18,plain,
    ! [X0,X1] :
      ( greater(X1,X0)
      | ~ inertia(sk3,X0,sk6)
      | ~ greater(sk7,sk6)
      | ~ inertia(sk3,X1,sk7) ),
    inference(subsumption_resolution,[],[f17,f9]) ).

fof(f17,plain,
    ! [X0,X1] :
      ( ~ organization(sk3,sk7)
      | ~ inertia(sk3,X0,sk6)
      | ~ inertia(sk3,X1,sk7)
      | ~ greater(sk7,sk6)
      | greater(X1,X0) ),
    inference(subsumption_resolution,[],[f16,f8]) ).

fof(f16,plain,
    ! [X0,X1] :
      ( ~ organization(sk3,sk6)
      | ~ inertia(sk3,X0,sk6)
      | greater(X1,X0)
      | ~ organization(sk3,sk7)
      | ~ inertia(sk3,X1,sk7)
      | ~ greater(sk7,sk6) ),
    inference(resolution,[],[f7,f10]) ).

fof(f10,axiom,
    reorganization_free(sk3,sk6,sk7),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t11_FOL_29) ).

fof(f7,axiom,
    ! [X2,X3,X0,X1,X4] :
      ( ~ reorganization_free(X0,X1,X2)
      | ~ greater(X2,X1)
      | ~ inertia(X0,X3,X1)
      | ~ organization(X0,X1)
      | ~ inertia(X0,X4,X2)
      | greater(X4,X3)
      | ~ organization(X0,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_FOL_26) ).

fof(f70,plain,
    greater(sk1(sk6,sk3),sk1(sk7,sk3)),
    inference(subsumption_resolution,[],[f69,f8]) ).

fof(f69,plain,
    ( ~ organization(sk3,sk6)
    | greater(sk1(sk6,sk3),sk1(sk7,sk3)) ),
    inference(resolution,[],[f68,f1]) ).

fof(f68,plain,
    ! [X0] :
      ( ~ inertia(sk3,X0,sk6)
      | greater(X0,sk1(sk7,sk3)) ),
    inference(subsumption_resolution,[],[f67,f9]) ).

fof(f67,plain,
    ! [X0] :
      ( greater(X0,sk1(sk7,sk3))
      | ~ inertia(sk3,X0,sk6)
      | ~ organization(sk3,sk7) ),
    inference(resolution,[],[f66,f1]) ).

fof(f66,plain,
    ! [X0,X1] :
      ( ~ inertia(sk3,X0,sk7)
      | ~ inertia(sk3,X1,sk6)
      | greater(X1,X0) ),
    inference(subsumption_resolution,[],[f65,f14]) ).

fof(f14,axiom,
    greater(sk4,sk5),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t11_FOL_33) ).

fof(f65,plain,
    ! [X0,X1] :
      ( ~ inertia(sk3,X1,sk6)
      | ~ inertia(sk3,X0,sk7)
      | ~ greater(sk4,sk5)
      | greater(X1,X0) ),
    inference(resolution,[],[f64,f12]) ).

fof(f12,axiom,
    size(sk3,sk5,sk7),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t11_FOL_31) ).

fof(f64,plain,
    ! [X2,X0,X1] :
      ( ~ size(sk3,X1,sk7)
      | ~ inertia(sk3,X0,sk7)
      | ~ inertia(sk3,X2,sk6)
      | greater(X2,X0)
      | ~ greater(sk4,X1) ),
    inference(resolution,[],[f59,f11]) ).

fof(f11,axiom,
    size(sk3,sk4,sk6),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t11_FOL_30) ).

fof(f59,plain,
    ! [X2,X3,X1,X4] :
      ( ~ size(sk3,X4,sk6)
      | ~ inertia(sk3,X1,sk7)
      | ~ size(sk3,X2,sk7)
      | ~ inertia(sk3,X3,sk6)
      | ~ greater(X4,X2)
      | greater(X3,X1) ),
    inference(subsumption_resolution,[],[f58,f9]) ).

fof(f58,plain,
    ! [X2,X3,X1,X4] :
      ( greater(X3,X1)
      | ~ inertia(sk3,X3,sk6)
      | ~ size(sk3,X4,sk6)
      | ~ inertia(sk3,X1,sk7)
      | ~ greater(X4,X2)
      | ~ size(sk3,X2,sk7)
      | ~ organization(sk3,sk7) ),
    inference(subsumption_resolution,[],[f55,f8]) ).

fof(f55,plain,
    ! [X2,X3,X1,X4] :
      ( greater(X3,X1)
      | ~ greater(X4,X2)
      | ~ organization(sk3,sk6)
      | ~ size(sk3,X4,sk6)
      | ~ inertia(sk3,X1,sk7)
      | ~ organization(sk3,sk7)
      | ~ size(sk3,X2,sk7)
      | ~ inertia(sk3,X3,sk6) ),
    inference(resolution,[],[f53,f28]) ).

fof(f28,plain,
    ! [X2,X3,X0,X1,X6,X7,X4,X5] :
      ( ~ class(X2,sk2(X1,X0),X4)
      | ~ organization(X0,X1)
      | ~ inertia(X2,X3,X4)
      | ~ size(X2,X6,X4)
      | ~ organization(X2,X4)
      | greater(X7,X3)
      | ~ inertia(X0,X7,X1)
      | ~ greater(X5,X6)
      | ~ size(X0,X5,X1) ),
    inference(duplicate_literal_removal,[],[f27]) ).

fof(f27,plain,
    ! [X2,X3,X0,X1,X6,X7,X4,X5] :
      ( ~ organization(X0,X1)
      | ~ size(X2,X6,X4)
      | ~ organization(X0,X1)
      | greater(X7,X3)
      | ~ greater(X5,X6)
      | ~ inertia(X0,X7,X1)
      | ~ inertia(X2,X3,X4)
      | ~ class(X2,sk2(X1,X0),X4)
      | ~ organization(X2,X4)
      | ~ size(X0,X5,X1) ),
    inference(resolution,[],[f4,f6]) ).

fof(f6,axiom,
    ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
      ( ~ class(X2,X4,X3)
      | ~ inertia(X0,X7,X1)
      | ~ greater(X6,X5)
      | ~ organization(X0,X1)
      | ~ size(X2,X6,X3)
      | ~ organization(X2,X3)
      | ~ size(X0,X5,X1)
      | greater(X8,X7)
      | ~ inertia(X2,X8,X3)
      | ~ class(X0,X4,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',a5_FOL_25) ).

fof(f4,axiom,
    ! [X0,X1] :
      ( class(X0,sk2(X1,X0),X1)
      | ~ organization(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp9_23) ).

fof(f53,plain,
    class(sk3,sk2(sk6,sk3),sk7),
    inference(subsumption_resolution,[],[f51,f9]) ).

fof(f51,plain,
    ( ~ organization(sk3,sk7)
    | class(sk3,sk2(sk6,sk3),sk7) ),
    inference(superposition,[],[f4,f48]) ).

fof(f48,plain,
    sk2(sk7,sk3) = sk2(sk6,sk3),
    inference(subsumption_resolution,[],[f47,f8]) ).

fof(f47,plain,
    ( ~ organization(sk3,sk6)
    | sk2(sk7,sk3) = sk2(sk6,sk3) ),
    inference(resolution,[],[f46,f4]) ).

fof(f46,plain,
    ! [X0] :
      ( ~ class(sk3,X0,sk6)
      | sk2(sk7,sk3) = X0 ),
    inference(subsumption_resolution,[],[f45,f9]) ).

fof(f45,plain,
    ! [X0] :
      ( ~ class(sk3,X0,sk6)
      | ~ organization(sk3,sk7)
      | sk2(sk7,sk3) = X0 ),
    inference(resolution,[],[f44,f4]) ).

fof(f44,plain,
    ! [X0,X1] :
      ( ~ class(sk3,X0,sk7)
      | ~ class(sk3,X1,sk6)
      | X0 = X1 ),
    inference(subsumption_resolution,[],[f43,f8]) ).

fof(f43,plain,
    ! [X0,X1] :
      ( ~ organization(sk3,sk6)
      | ~ class(sk3,X1,sk6)
      | X0 = X1
      | ~ class(sk3,X0,sk7) ),
    inference(subsumption_resolution,[],[f42,f9]) ).

fof(f42,plain,
    ! [X0,X1] :
      ( ~ organization(sk3,sk7)
      | ~ class(sk3,X0,sk7)
      | ~ organization(sk3,sk6)
      | ~ class(sk3,X1,sk6)
      | X0 = X1 ),
    inference(resolution,[],[f5,f10]) ).

fof(f5,axiom,
    ! [X2,X3,X0,X1,X4] :
      ( ~ reorganization_free(X0,X1,X2)
      | ~ class(X0,X4,X2)
      | X3 = X4
      | ~ class(X0,X3,X1)
      | ~ organization(X0,X2)
      | ~ organization(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp10_24) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : MGT011-1 : TPTP v8.1.0. Released v2.4.0.
% 0.11/0.12  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.33  % Computer : n023.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit   : 300
% 0.12/0.33  % WCLimit    : 300
% 0.12/0.33  % DateTime   : Tue Aug 30 03:33:05 EDT 2022
% 0.12/0.33  % CPUTime    : 
% 0.18/0.48  % (22353)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.18/0.49  % (22367)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)
% 0.18/0.49  % (22362)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)
% 0.18/0.49  % (22354)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)
% 0.18/0.49  % (22359)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)
% 0.18/0.50  % (22346)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)
% 0.18/0.50  % (22362)First to succeed.
% 0.18/0.50  TRYING [1]
% 0.18/0.50  % (22352)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.18/0.50  % (22353)Also succeeded, but the first one will report.
% 0.18/0.50  % (22351)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)
% 0.18/0.50  TRYING [2]
% 0.18/0.50  TRYING [3]
% 0.18/0.50  % (22362)Refutation found. Thanks to Tanya!
% 0.18/0.50  % SZS status Unsatisfiable for theBenchmark
% 0.18/0.50  % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.50  % (22362)------------------------------
% 0.18/0.50  % (22362)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.50  % (22362)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.50  % (22362)Termination reason: Refutation
% 0.18/0.50  
% 0.18/0.50  % (22362)Memory used [KB]: 1023
% 0.18/0.50  % (22362)Time elapsed: 0.057 s
% 0.18/0.50  % (22362)Instructions burned: 4 (million)
% 0.18/0.50  % (22362)------------------------------
% 0.18/0.50  % (22362)------------------------------
% 0.18/0.50  % (22339)Success in time 0.161 s
%------------------------------------------------------------------------------