TSTP Solution File: MGT044-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : MGT044-1 : 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 : n021.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 17:51:35 EDT 2022

% Result   : Unsatisfiable 0.21s 0.53s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   26 (  15 unt;   0 def)
%            Number of atoms       :   41 (   7 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   34 (  19   ~;  15   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :   11 (  11 usr;   7 con; 0-2 aty)
%            Number of variables   :   18 (  18   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f220,plain,
    $false,
    inference(resolution,[],[f205,f21]) ).

fof(f21,plain,
    ! [X1] : smaller_or_equal(X1,X1),
    inference(equality_resolution,[],[f3]) ).

fof(f3,axiom,
    ! [X0,X1] :
      ( smaller_or_equal(X0,X1)
      | X0 != X1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_smaller_or_equal_3) ).

fof(f205,plain,
    ! [X1] : ~ smaller_or_equal(internal_friction(sk1,X1),internal_friction(sk1,sk2)),
    inference(superposition,[],[f186,f46]) ).

fof(f46,plain,
    ! [X0,X1] : internal_friction(sk1,X1) = internal_friction(sk1,X0),
    inference(resolution,[],[f16,f17]) ).

fof(f17,axiom,
    organization(sk1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',lemma_3_37) ).

fof(f16,axiom,
    ! [X2,X0,X1] :
      ( ~ organization(X0)
      | internal_friction(X0,X1) = internal_friction(X0,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_9_36) ).

fof(f186,plain,
    ~ smaller_or_equal(internal_friction(sk1,sk3),internal_friction(sk1,sk2)),
    inference(subsumption_resolution,[],[f185,f27]) ).

fof(f27,plain,
    ~ greater(sF2,sF3),
    inference(definition_folding,[],[f19,f26,f25]) ).

fof(f25,plain,
    capability(sk1,sk3) = sF2,
    introduced(function_definition,[]) ).

fof(f26,plain,
    capability(sk1,sk2) = sF3,
    introduced(function_definition,[]) ).

fof(f19,axiom,
    ~ greater(capability(sk1,sk3),capability(sk1,sk2)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',lemma_3_39) ).

fof(f185,plain,
    ( ~ smaller_or_equal(internal_friction(sk1,sk3),internal_friction(sk1,sk2))
    | greater(sF2,sF3) ),
    inference(forward_demodulation,[],[f184,f25]) ).

fof(f184,plain,
    ( ~ smaller_or_equal(internal_friction(sk1,sk3),internal_friction(sk1,sk2))
    | greater(capability(sk1,sk3),sF3) ),
    inference(forward_demodulation,[],[f183,f26]) ).

fof(f183,plain,
    ( ~ smaller_or_equal(internal_friction(sk1,sk3),internal_friction(sk1,sk2))
    | greater(capability(sk1,sk3),capability(sk1,sk2)) ),
    inference(subsumption_resolution,[],[f177,f17]) ).

fof(f177,plain,
    ( greater(capability(sk1,sk3),capability(sk1,sk2))
    | ~ organization(sk1)
    | ~ smaller_or_equal(internal_friction(sk1,sk3),internal_friction(sk1,sk2)) ),
    inference(resolution,[],[f153,f12]) ).

fof(f12,axiom,
    ! [X2,X0,X1] :
      ( ~ greater(stock_of_knowledge(X0,X1),stock_of_knowledge(X0,X2))
      | ~ organization(X0)
      | greater(capability(X0,X1),capability(X0,X2))
      | ~ smaller_or_equal(internal_friction(X0,X1),internal_friction(X0,X2)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_5_32) ).

fof(f153,plain,
    greater(stock_of_knowledge(sk1,sk3),stock_of_knowledge(sk1,sk2)),
    inference(subsumption_resolution,[],[f152,f24]) ).

fof(f24,plain,
    greater(sF0,sF1),
    inference(definition_folding,[],[f18,f23,f22]) ).

fof(f22,plain,
    age(sk1,sk3) = sF0,
    introduced(function_definition,[]) ).

fof(f23,plain,
    age(sk1,sk2) = sF1,
    introduced(function_definition,[]) ).

fof(f18,axiom,
    greater(age(sk1,sk3),age(sk1,sk2)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',lemma_3_38) ).

fof(f152,plain,
    ( ~ greater(sF0,sF1)
    | greater(stock_of_knowledge(sk1,sk3),stock_of_knowledge(sk1,sk2)) ),
    inference(superposition,[],[f70,f23]) ).

fof(f70,plain,
    ! [X0] :
      ( ~ greater(sF0,age(sk1,X0))
      | greater(stock_of_knowledge(sk1,sk3),stock_of_knowledge(sk1,X0)) ),
    inference(superposition,[],[f47,f22]) ).

fof(f47,plain,
    ! [X0,X1] :
      ( ~ greater(age(sk1,X0),age(sk1,X1))
      | greater(stock_of_knowledge(sk1,X0),stock_of_knowledge(sk1,X1)) ),
    inference(resolution,[],[f15,f17]) ).

fof(f15,axiom,
    ! [X2,X0,X1] :
      ( ~ organization(X0)
      | greater(stock_of_knowledge(X0,X1),stock_of_knowledge(X0,X2))
      | ~ greater(age(X0,X1),age(X0,X2)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_7_35) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : MGT044-1 : TPTP v8.1.0. Released v2.4.0.
% 0.13/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34  % Computer : n021.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Tue Aug 30 03:14:55 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.21/0.50  % (31335)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.21/0.51  % (31350)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.21/0.51  TRYING [1]
% 0.21/0.52  % (31343)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  % (31357)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  TRYING [2]
% 0.21/0.52  TRYING [3]
% 0.21/0.52  % (31349)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)
% 0.21/0.52  % (31343)Instruction limit reached!
% 0.21/0.52  % (31343)------------------------------
% 0.21/0.52  % (31343)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.52  % (31341)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)
% 0.21/0.52  % (31361)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)
% 0.21/0.53  % (31338)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.53  % (31350)First to succeed.
% 0.21/0.53  % (31343)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.53  % (31343)Termination reason: Unknown
% 0.21/0.53  % (31343)Termination phase: Saturation
% 0.21/0.53  
% 0.21/0.53  % (31343)Memory used [KB]: 5373
% 0.21/0.53  % (31343)Time elapsed: 0.119 s
% 0.21/0.53  % (31343)Instructions burned: 2 (million)
% 0.21/0.53  % (31343)------------------------------
% 0.21/0.53  % (31343)------------------------------
% 0.21/0.53  % (31336)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)
% 0.21/0.53  % (31362)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)
% 0.21/0.53  TRYING [1]
% 0.21/0.53  % (31336)Refutation not found, incomplete strategy% (31336)------------------------------
% 0.21/0.53  % (31336)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.53  % (31336)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.53  % (31336)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.53  
% 0.21/0.53  % (31336)Memory used [KB]: 5373
% 0.21/0.53  % (31336)Time elapsed: 0.126 s
% 0.21/0.53  % (31336)Instructions burned: 2 (million)
% 0.21/0.53  % (31336)------------------------------
% 0.21/0.53  % (31336)------------------------------
% 0.21/0.53  TRYING [4]
% 0.21/0.53  TRYING [2]
% 0.21/0.53  % (31339)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.53  % (31337)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)
% 0.21/0.53  % (31363)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.21/0.53  TRYING [3]
% 0.21/0.53  % (31358)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.21/0.53  % (31351)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.21/0.53  TRYING [5]
% 0.21/0.53  % (31350)Refutation found. Thanks to Tanya!
% 0.21/0.53  % SZS status Unsatisfiable for theBenchmark
% 0.21/0.53  % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.53  % (31350)------------------------------
% 0.21/0.53  % (31350)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.53  % (31350)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.53  % (31350)Termination reason: Refutation
% 0.21/0.53  
% 0.21/0.53  % (31350)Memory used [KB]: 1023
% 0.21/0.53  % (31350)Time elapsed: 0.128 s
% 0.21/0.53  % (31350)Instructions burned: 12 (million)
% 0.21/0.53  % (31350)------------------------------
% 0.21/0.53  % (31350)------------------------------
% 0.21/0.53  % (31334)Success in time 0.183 s
%------------------------------------------------------------------------------