TSTP Solution File: MGT013-1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : MGT013-1 : 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_uns --cores 0 -t %d %s

% Computer : n029.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 17:50:52 EDT 2022

% Result   : Unsatisfiable 0.20s 0.55s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            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 :  152 (  82   ~;  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   :   43 (  43   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f94,plain,
    $false,
    inference(subsumption_resolution,[],[f93,f19]) ).

fof(f19,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_18) ).

fof(f93,plain,
    greater(sk2,sk2),
    inference(backward_demodulation,[],[f16,f85]) ).

fof(f85,plain,
    sk2 = sk3,
    inference(resolution,[],[f74,f40]) ).

fof(f40,plain,
    ! [X0] :
      ( ~ complexity(sk1,X0,sk6)
      | sk2 = X0 ),
    inference(subsumption_resolution,[],[f38,f9]) ).

fof(f9,axiom,
    organization(sk1,sk6),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t13_FOL_26) ).

fof(f38,plain,
    ! [X0] :
      ( ~ organization(sk1,sk6)
      | ~ complexity(sk1,X0,sk6)
      | sk2 = X0 ),
    inference(resolution,[],[f20,f12]) ).

fof(f12,axiom,
    complexity(sk1,sk2,sk6),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t13_FOL_29) ).

fof(f20,plain,
    ! [X2,X3,X0,X4] :
      ( ~ complexity(X0,X4,X2)
      | ~ organization(X0,X2)
      | ~ complexity(X0,X3,X2)
      | X3 = X4 ),
    inference(duplicate_literal_removal,[],[f18]) ).

fof(f18,plain,
    ! [X2,X3,X0,X4] :
      ( ~ organization(X0,X2)
      | ~ complexity(X0,X4,X2)
      | ~ complexity(X0,X3,X2)
      | X3 = X4
      | ~ organization(X0,X2) ),
    inference(equality_resolution,[],[f6]) ).

fof(f6,axiom,
    ! [X2,X3,X0,X1,X4] :
      ( X3 = X4
      | ~ complexity(X0,X4,X2)
      | X1 != X2
      | ~ organization(X0,X1)
      | ~ organization(X0,X2)
      | ~ complexity(X0,X3,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp18_23) ).

fof(f74,plain,
    complexity(sk1,sk3,sk6),
    inference(backward_demodulation,[],[f13,f71]) ).

fof(f71,plain,
    sk6 = sk7,
    inference(subsumption_resolution,[],[f70,f22]) ).

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

fof(f10,axiom,
    organization(sk1,sk7),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t13_FOL_27) ).

fof(f3,axiom,
    ! [X0,X1] :
      ( ~ organization(X0,X1)
      | time(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp15_20) ).

fof(f70,plain,
    ( ~ time(sk7)
    | sk6 = sk7 ),
    inference(subsumption_resolution,[],[f69,f64]) ).

fof(f64,plain,
    ~ greater(sk6,sk7),
    inference(subsumption_resolution,[],[f63,f16]) ).

fof(f63,plain,
    ( ~ greater(sk6,sk7)
    | ~ greater(sk3,sk2) ),
    inference(subsumption_resolution,[],[f62,f25]) ).

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

fof(f11,axiom,
    reorganization_free(sk1,sk6,sk7),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t13_FOL_28) ).

fof(f5,axiom,
    ! [X2,X0,X1] :
      ( ~ reorganization_free(X0,X1,X2)
      | reorganization_free(X0,X2,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp17_22) ).

fof(f62,plain,
    ( ~ reorganization_free(sk1,sk7,sk6)
    | ~ greater(sk3,sk2)
    | ~ greater(sk6,sk7) ),
    inference(subsumption_resolution,[],[f61,f10]) ).

fof(f61,plain,
    ( ~ organization(sk1,sk7)
    | ~ greater(sk3,sk2)
    | ~ reorganization_free(sk1,sk7,sk6)
    | ~ greater(sk6,sk7) ),
    inference(resolution,[],[f53,f13]) ).

fof(f53,plain,
    ! [X0,X1] :
      ( ~ complexity(sk1,X1,X0)
      | ~ organization(sk1,X0)
      | ~ reorganization_free(sk1,X0,sk6)
      | ~ greater(X1,sk2)
      | ~ greater(sk6,X0) ),
    inference(subsumption_resolution,[],[f51,f9]) ).

fof(f51,plain,
    ! [X0,X1] :
      ( ~ organization(sk1,sk6)
      | ~ greater(X1,sk2)
      | ~ reorganization_free(sk1,X0,sk6)
      | ~ greater(sk6,X0)
      | ~ complexity(sk1,X1,X0)
      | ~ organization(sk1,X0) ),
    inference(resolution,[],[f8,f12]) ).

fof(f8,axiom,
    ! [X2,X3,X0,X1,X4] :
      ( ~ complexity(X0,X4,X2)
      | ~ organization(X0,X1)
      | ~ greater(X3,X4)
      | ~ greater(X2,X1)
      | ~ reorganization_free(X0,X1,X2)
      | ~ complexity(X0,X3,X1)
      | ~ organization(X0,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t12_FOL_25) ).

fof(f69,plain,
    ( sk6 = sk7
    | greater(sk6,sk7)
    | ~ time(sk7) ),
    inference(subsumption_resolution,[],[f67,f21]) ).

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

fof(f67,plain,
    ( ~ time(sk6)
    | sk6 = sk7
    | ~ time(sk7)
    | greater(sk6,sk7) ),
    inference(resolution,[],[f59,f4]) ).

fof(f4,axiom,
    ! [X0,X1] :
      ( greater(X1,X0)
      | greater(X0,X1)
      | X0 = X1
      | ~ time(X1)
      | ~ time(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp16_21) ).

fof(f59,plain,
    ~ greater(sk7,sk6),
    inference(subsumption_resolution,[],[f58,f17]) ).

fof(f17,axiom,
    greater(sk4,sk5),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t13_FOL_34) ).

fof(f58,plain,
    ( ~ greater(sk4,sk5)
    | ~ greater(sk7,sk6) ),
    inference(subsumption_resolution,[],[f57,f9]) ).

fof(f57,plain,
    ( ~ organization(sk1,sk6)
    | ~ greater(sk7,sk6)
    | ~ greater(sk4,sk5) ),
    inference(subsumption_resolution,[],[f55,f11]) ).

fof(f55,plain,
    ( ~ greater(sk7,sk6)
    | ~ reorganization_free(sk1,sk6,sk7)
    | ~ greater(sk4,sk5)
    | ~ organization(sk1,sk6) ),
    inference(resolution,[],[f46,f14]) ).

fof(f14,axiom,
    size(sk1,sk4,sk6),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t13_FOL_31) ).

fof(f46,plain,
    ! [X2,X3] :
      ( ~ size(sk1,X2,X3)
      | ~ organization(sk1,X3)
      | ~ greater(X2,sk5)
      | ~ greater(sk7,X3)
      | ~ reorganization_free(sk1,X3,sk7) ),
    inference(subsumption_resolution,[],[f44,f10]) ).

fof(f44,plain,
    ! [X2,X3] :
      ( ~ organization(sk1,sk7)
      | ~ organization(sk1,X3)
      | ~ greater(sk7,X3)
      | ~ greater(X2,sk5)
      | ~ reorganization_free(sk1,X3,sk7)
      | ~ size(sk1,X2,X3) ),
    inference(resolution,[],[f7,f15]) ).

fof(f15,axiom,
    size(sk1,sk5,sk7),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t13_FOL_32) ).

fof(f7,axiom,
    ! [X2,X3,X0,X1,X4] :
      ( ~ size(X0,X4,X2)
      | ~ greater(X3,X4)
      | ~ organization(X0,X2)
      | ~ size(X0,X3,X1)
      | ~ reorganization_free(X0,X1,X2)
      | ~ organization(X0,X1)
      | ~ greater(X2,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t11_FOL_24) ).

fof(f13,axiom,
    complexity(sk1,sk3,sk7),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t13_FOL_30) ).

fof(f16,axiom,
    greater(sk3,sk2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t13_FOL_33) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : MGT013-1 : TPTP v8.1.0. Released v2.4.0.
% 0.07/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.35  % Computer : n029.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 Aug 30 03:21:42 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 0.20/0.53  % (31026)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.20/0.54  % (31053)lrs+10_1:1_av=off:sd=2:sos=on:sp=reverse_arity:ss=axioms:to=lpo:i=73:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/73Mi)
% 0.20/0.54  % (31029)lrs+10_1:1_bd=off:drc=off:lcm=reverse:nwc=5.0:sd=1:sgt=16:spb=goal_then_units:ss=axioms:to=lpo:i=43:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/43Mi)
% 0.20/0.54  % (31037)dis+4_1:1_bd=off:cond=fast:fde=unused:lcm=reverse:lma=on:nicw=on:nwc=2.0:s2a=on:s2agt=16:sac=on:sp=frequency:i=23:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/23Mi)
% 0.20/0.54  % (31027)dis+21_1:1_av=off:fd=off:lcm=predicate:sos=on:spb=goal:urr=ec_only:i=42:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/42Mi)
% 0.20/0.55  % (31045)lrs+1011_1:1_afp=100000:afr=on:amm=sco:bd=preordered:cond=fast:newcnf=on:nm=4:sos=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.55  % (31053)Refutation not found, incomplete strategy% (31053)------------------------------
% 0.20/0.55  % (31053)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55  % (31026)First to succeed.
% 0.20/0.55  % (31053)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55  % (31053)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.55  
% 0.20/0.55  % (31053)Memory used [KB]: 1407
% 0.20/0.55  % (31053)Time elapsed: 0.115 s
% 0.20/0.55  % (31053)Instructions burned: 1 (million)
% 0.20/0.55  % (31053)------------------------------
% 0.20/0.55  % (31053)------------------------------
% 0.20/0.55  % (31030)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=34:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/34Mi)
% 0.20/0.55  % (31037)Also succeeded, but the first one will report.
% 0.20/0.55  % (31026)Refutation found. Thanks to Tanya!
% 0.20/0.55  % SZS status Unsatisfiable for theBenchmark
% 0.20/0.55  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.55  % (31026)------------------------------
% 0.20/0.55  % (31026)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55  % (31026)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55  % (31026)Termination reason: Refutation
% 0.20/0.55  
% 0.20/0.55  % (31026)Memory used [KB]: 5884
% 0.20/0.55  % (31026)Time elapsed: 0.120 s
% 0.20/0.55  % (31026)Instructions burned: 3 (million)
% 0.20/0.55  % (31026)------------------------------
% 0.20/0.55  % (31026)------------------------------
% 0.20/0.55  % (31025)Success in time 0.187 s
%------------------------------------------------------------------------------