TSTP Solution File: MGT013-1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : MGT013-1 : 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 : n014.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 13:54:04 EDT 2024

% Result   : Unsatisfiable 0.15s 0.39s
% Output   : Refutation 0.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   16
% Syntax   : Number of formulae    :   44 (  20 unt;   0 def)
%            Number of atoms       :  114 (  13 equ)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :  149 (  79   ~;  70   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    8 (   6 usr;   1 prp; 0-3 aty)
%            Number of functors    :    7 (   7 usr;   7 con; 0-0 aty)
%            Number of variables   :   44 (  44   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f89,plain,
    $false,
    inference(subsumption_resolution,[],[f88,f18]) ).

fof(f18,plain,
    ! [X1] : ~ greater(X1,X1),
    inference(equality_resolution,[],[f1]) ).

fof(f1,axiom,
    ! [X0,X1] :
      ( X0 != X1
      | ~ greater(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp6_1_18) ).

fof(f88,plain,
    greater(sk2,sk2),
    inference(backward_demodulation,[],[f16,f80]) ).

fof(f80,plain,
    sk2 = sk3,
    inference(resolution,[],[f67,f38]) ).

fof(f38,plain,
    ! [X0] :
      ( ~ complexity(sk1,X0,sk6)
      | sk2 = X0 ),
    inference(subsumption_resolution,[],[f36,f9]) ).

fof(f9,axiom,
    organization(sk1,sk6),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t13_FOL_26) ).

fof(f36,plain,
    ! [X0] :
      ( sk2 = X0
      | ~ organization(sk1,sk6)
      | ~ complexity(sk1,X0,sk6) ),
    inference(resolution,[],[f20,f12]) ).

fof(f12,axiom,
    complexity(sk1,sk2,sk6),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t13_FOL_29) ).

fof(f20,plain,
    ! [X2,X3,X0,X4] :
      ( ~ complexity(X0,X4,X2)
      | X3 = X4
      | ~ organization(X0,X2)
      | ~ complexity(X0,X3,X2) ),
    inference(duplicate_literal_removal,[],[f19]) ).

fof(f19,plain,
    ! [X2,X3,X0,X4] :
      ( ~ organization(X0,X2)
      | ~ organization(X0,X2)
      | X3 = X4
      | ~ complexity(X0,X4,X2)
      | ~ complexity(X0,X3,X2) ),
    inference(equality_resolution,[],[f6]) ).

fof(f6,axiom,
    ! [X2,X3,X0,X1,X4] :
      ( X1 != X2
      | ~ organization(X0,X1)
      | ~ organization(X0,X2)
      | X3 = X4
      | ~ complexity(X0,X4,X2)
      | ~ complexity(X0,X3,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp18_23) ).

fof(f67,plain,
    complexity(sk1,sk3,sk6),
    inference(backward_demodulation,[],[f13,f64]) ).

fof(f64,plain,
    sk6 = sk7,
    inference(resolution,[],[f63,f53]) ).

fof(f53,plain,
    ( greater(sk6,sk7)
    | sk6 = sk7 ),
    inference(resolution,[],[f52,f30]) ).

fof(f30,plain,
    ( greater(sk7,sk6)
    | greater(sk6,sk7)
    | sk6 = sk7 ),
    inference(resolution,[],[f27,f22]) ).

fof(f22,plain,
    time(sk7),
    inference(resolution,[],[f3,f10]) ).

fof(f10,axiom,
    organization(sk1,sk7),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t13_FOL_27) ).

fof(f3,axiom,
    ! [X0,X1] :
      ( ~ organization(X0,X1)
      | time(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp15_20) ).

fof(f27,plain,
    ! [X0] :
      ( ~ time(X0)
      | sk6 = X0
      | greater(sk6,X0)
      | greater(X0,sk6) ),
    inference(resolution,[],[f4,f21]) ).

fof(f21,plain,
    time(sk6),
    inference(resolution,[],[f3,f9]) ).

fof(f4,axiom,
    ! [X0,X1] :
      ( ~ time(X1)
      | ~ time(X0)
      | X0 = X1
      | greater(X1,X0)
      | greater(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp16_21) ).

fof(f52,plain,
    ~ greater(sk7,sk6),
    inference(subsumption_resolution,[],[f51,f11]) ).

fof(f11,axiom,
    reorganization_free(sk1,sk6,sk7),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t13_FOL_28) ).

fof(f51,plain,
    ( ~ greater(sk7,sk6)
    | ~ reorganization_free(sk1,sk6,sk7) ),
    inference(subsumption_resolution,[],[f50,f9]) ).

fof(f50,plain,
    ( ~ greater(sk7,sk6)
    | ~ organization(sk1,sk6)
    | ~ reorganization_free(sk1,sk6,sk7) ),
    inference(subsumption_resolution,[],[f48,f17]) ).

fof(f17,axiom,
    greater(sk4,sk5),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t13_FOL_34) ).

fof(f48,plain,
    ( ~ greater(sk4,sk5)
    | ~ greater(sk7,sk6)
    | ~ organization(sk1,sk6)
    | ~ reorganization_free(sk1,sk6,sk7) ),
    inference(resolution,[],[f45,f14]) ).

fof(f14,axiom,
    size(sk1,sk4,sk6),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t13_FOL_31) ).

fof(f45,plain,
    ! [X0,X1] :
      ( ~ size(sk1,X1,X0)
      | ~ greater(X1,sk5)
      | ~ greater(sk7,X0)
      | ~ organization(sk1,X0)
      | ~ reorganization_free(sk1,X0,sk7) ),
    inference(subsumption_resolution,[],[f43,f10]) ).

fof(f43,plain,
    ! [X0,X1] :
      ( ~ organization(sk1,X0)
      | ~ greater(X1,sk5)
      | ~ greater(sk7,X0)
      | ~ organization(sk1,sk7)
      | ~ size(sk1,X1,X0)
      | ~ reorganization_free(sk1,X0,sk7) ),
    inference(resolution,[],[f7,f15]) ).

fof(f15,axiom,
    size(sk1,sk5,sk7),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t13_FOL_32) ).

fof(f7,axiom,
    ! [X2,X3,X0,X1,X4] :
      ( ~ size(X0,X4,X2)
      | ~ organization(X0,X1)
      | ~ greater(X3,X4)
      | ~ greater(X2,X1)
      | ~ organization(X0,X2)
      | ~ size(X0,X3,X1)
      | ~ reorganization_free(X0,X1,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t11_FOL_24) ).

fof(f63,plain,
    ~ greater(sk6,sk7),
    inference(subsumption_resolution,[],[f62,f10]) ).

fof(f62,plain,
    ( ~ organization(sk1,sk7)
    | ~ greater(sk6,sk7) ),
    inference(subsumption_resolution,[],[f61,f25]) ).

fof(f25,plain,
    reorganization_free(sk1,sk7,sk6),
    inference(resolution,[],[f5,f11]) ).

fof(f5,axiom,
    ! [X2,X0,X1] :
      ( ~ reorganization_free(X0,X1,X2)
      | reorganization_free(X0,X2,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp17_22) ).

fof(f61,plain,
    ( ~ reorganization_free(sk1,sk7,sk6)
    | ~ organization(sk1,sk7)
    | ~ greater(sk6,sk7) ),
    inference(subsumption_resolution,[],[f60,f16]) ).

fof(f60,plain,
    ( ~ greater(sk3,sk2)
    | ~ reorganization_free(sk1,sk7,sk6)
    | ~ organization(sk1,sk7)
    | ~ greater(sk6,sk7) ),
    inference(resolution,[],[f57,f13]) ).

fof(f57,plain,
    ! [X0,X1] :
      ( ~ complexity(sk1,X1,X0)
      | ~ greater(X1,sk2)
      | ~ reorganization_free(sk1,X0,sk6)
      | ~ organization(sk1,X0)
      | ~ greater(sk6,X0) ),
    inference(subsumption_resolution,[],[f55,f9]) ).

fof(f55,plain,
    ! [X0,X1] :
      ( ~ organization(sk1,sk6)
      | ~ greater(sk6,X0)
      | ~ greater(X1,sk2)
      | ~ reorganization_free(sk1,X0,sk6)
      | ~ organization(sk1,X0)
      | ~ complexity(sk1,X1,X0) ),
    inference(resolution,[],[f8,f12]) ).

fof(f8,axiom,
    ! [X2,X3,X0,X1,X4] :
      ( ~ complexity(X0,X4,X2)
      | ~ organization(X0,X2)
      | ~ greater(X2,X1)
      | ~ greater(X3,X4)
      | ~ reorganization_free(X0,X1,X2)
      | ~ organization(X0,X1)
      | ~ complexity(X0,X3,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t12_FOL_25) ).

fof(f13,axiom,
    complexity(sk1,sk3,sk7),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t13_FOL_30) ).

fof(f16,axiom,
    greater(sk3,sk2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t13_FOL_33) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : MGT013-1 : TPTP v8.1.2. Released v2.4.0.
% 0.07/0.15  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.36  % Computer : n014.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 300
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Tue Apr 30 03:30:49 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.15/0.37  % (14025)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.38  % (14030)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.15/0.38  % (14026)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.15/0.38  % (14027)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.15/0.38  % (14028)dis-2_2:3_amm=sco:anc=none:bce=on:fsr=off:gsp=on:nm=16:nwc=1.2:nicw=on:sac=on:sp=weighted_frequency_476 on theBenchmark for (476ds/0Mi)
% 0.15/0.38  % (14029)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.15/0.38  % (14031)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.15/0.38  % (14032)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on theBenchmark for (1451ds/0Mi)
% 0.15/0.38  Detected minimum model sizes of [1]
% 0.15/0.38  Detected maximum model sizes of [7]
% 0.15/0.38  TRYING [1]
% 0.15/0.38  Detected minimum model sizes of [1]
% 0.15/0.38  Detected maximum model sizes of [7]
% 0.15/0.38  TRYING [1]
% 0.15/0.38  Detected minimum model sizes of [1,1]
% 0.15/0.38  Detected maximum model sizes of [1,6]
% 0.15/0.38  Detected minimum model sizes of [1,1]
% 0.15/0.38  Detected maximum model sizes of [1,6]
% 0.15/0.38  TRYING [1,1]
% 0.15/0.38  TRYING [2]
% 0.15/0.38  TRYING [1,1]
% 0.15/0.38  TRYING [2]
% 0.15/0.38  TRYING [1,2]
% 0.15/0.38  TRYING [1,2]
% 0.15/0.38  TRYING [3]
% 0.15/0.39  TRYING [3]
% 0.15/0.39  TRYING [1,3]
% 0.15/0.39  TRYING [1,3]
% 0.15/0.39  % (14030)First to succeed.
% 0.15/0.39  TRYING [4]
% 0.15/0.39  TRYING [1,4]
% 0.15/0.39  TRYING [4]
% 0.15/0.39  TRYING [1,4]
% 0.15/0.39  % (14028)Also succeeded, but the first one will report.
% 0.15/0.39  % (14030)Refutation found. Thanks to Tanya!
% 0.15/0.39  % SZS status Unsatisfiable for theBenchmark
% 0.15/0.39  % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.39  % (14030)------------------------------
% 0.15/0.39  % (14030)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.15/0.39  % (14030)Termination reason: Refutation
% 0.15/0.39  
% 0.15/0.39  % (14030)Memory used [KB]: 771
% 0.15/0.39  % (14030)Time elapsed: 0.005 s
% 0.15/0.39  % (14030)Instructions burned: 6 (million)
% 0.15/0.39  % (14030)------------------------------
% 0.15/0.39  % (14030)------------------------------
% 0.15/0.39  % (14025)Success in time 0.021 s
%------------------------------------------------------------------------------