TSTP Solution File: LCL203-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : LCL203-1 : TPTP v8.1.0. Released v1.1.0.
% 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 : n022.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 17:47:18 EDT 2022

% Result   : Unsatisfiable 0.18s 0.52s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   15
% Syntax   : Number of formulae    :   38 (  27 unt;   0 def)
%            Number of atoms       :   53 (   7 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   34 (  19   ~;  15   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :   11 (  11 usr;   9 con; 0-2 aty)
%            Number of variables   :   33 (  33   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f778,plain,
    $false,
    inference(subsumption_resolution,[],[f777,f261]) ).

fof(f261,plain,
    ~ theorem(or(sF2,sF4)),
    inference(resolution,[],[f259,f46]) ).

fof(f46,plain,
    ! [X0,X1] :
      ( theorem(or(X0,X1))
      | ~ theorem(X1) ),
    inference(resolution,[],[f7,f2]) ).

fof(f2,axiom,
    ! [X0,X1] : axiom(or(not(X0),or(X1,X0))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1_3) ).

fof(f7,axiom,
    ! [X3,X4] :
      ( ~ axiom(or(not(X4),X3))
      | theorem(X3)
      | ~ theorem(X4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_2) ).

fof(f259,plain,
    ~ theorem(or(sF3,or(sF2,sF4))),
    inference(subsumption_resolution,[],[f257,f17]) ).

fof(f17,plain,
    ~ theorem(sF6),
    inference(definition_folding,[],[f9,f16,f15,f14,f13,f12,f11,f10]) ).

fof(f10,plain,
    or(p,q) = sF0,
    introduced(function_definition,[]) ).

fof(f11,plain,
    not(sF0) = sF1,
    introduced(function_definition,[]) ).

fof(f12,plain,
    sF2 = not(sF1),
    introduced(function_definition,[]) ).

fof(f13,plain,
    not(p) = sF3,
    introduced(function_definition,[]) ).

fof(f14,plain,
    not(q) = sF4,
    introduced(function_definition,[]) ).

fof(f15,plain,
    sF5 = or(sF3,sF4),
    introduced(function_definition,[]) ).

fof(f16,plain,
    sF6 = or(sF2,sF5),
    introduced(function_definition,[]) ).

fof(f9,axiom,
    ~ theorem(or(not(not(or(p,q))),or(not(p),not(q)))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).

fof(f257,plain,
    ( theorem(sF6)
    | ~ theorem(or(sF3,or(sF2,sF4))) ),
    inference(resolution,[],[f248,f7]) ).

fof(f248,plain,
    axiom(or(not(or(sF3,or(sF2,sF4))),sF6)),
    inference(superposition,[],[f104,f16]) ).

fof(f104,plain,
    ! [X1] : axiom(or(not(or(sF3,or(X1,sF4))),or(X1,sF5))),
    inference(superposition,[],[f4,f15]) ).

fof(f4,axiom,
    ! [X2,X0,X1] : axiom(or(not(or(X0,or(X1,X2))),or(X1,or(X0,X2)))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1_5) ).

fof(f777,plain,
    theorem(or(sF2,sF4)),
    inference(resolution,[],[f776,f48]) ).

fof(f48,plain,
    ! [X3,X4] :
      ( ~ theorem(or(X4,X3))
      | theorem(or(X3,X4)) ),
    inference(resolution,[],[f7,f3]) ).

fof(f3,axiom,
    ! [X0,X1] : axiom(or(not(or(X0,X1)),or(X1,X0))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1_4) ).

fof(f776,plain,
    theorem(or(sF4,sF2)),
    inference(forward_demodulation,[],[f762,f12]) ).

fof(f762,plain,
    theorem(or(sF4,not(sF1))),
    inference(resolution,[],[f715,f382]) ).

fof(f382,plain,
    ! [X2] : theorem(or(X2,not(X2))),
    inference(resolution,[],[f374,f48]) ).

fof(f374,plain,
    ! [X2] : theorem(or(not(X2),X2)),
    inference(resolution,[],[f300,f47]) ).

fof(f47,plain,
    ! [X2] :
      ( ~ theorem(or(X2,X2))
      | theorem(X2) ),
    inference(resolution,[],[f7,f1]) ).

fof(f1,axiom,
    ! [X0] : axiom(or(not(or(X0,X0)),X0)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1_2) ).

fof(f300,plain,
    ! [X6,X7] : theorem(or(X6,or(not(X7),X7))),
    inference(resolution,[],[f98,f19]) ).

fof(f19,plain,
    ! [X0,X1] : theorem(or(not(X0),or(X1,X0))),
    inference(resolution,[],[f2,f6]) ).

fof(f6,axiom,
    ! [X3] :
      ( ~ axiom(X3)
      | theorem(X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_1) ).

fof(f98,plain,
    ! [X2,X0,X1] :
      ( ~ theorem(or(X1,or(X0,X2)))
      | theorem(or(X0,or(X1,X2))) ),
    inference(resolution,[],[f4,f7]) ).

fof(f715,plain,
    ! [X1] :
      ( ~ theorem(or(sF1,X1))
      | theorem(or(sF4,X1)) ),
    inference(subsumption_resolution,[],[f696,f27]) ).

fof(f27,plain,
    axiom(or(sF4,sF0)),
    inference(forward_demodulation,[],[f24,f14]) ).

fof(f24,plain,
    axiom(or(not(q),sF0)),
    inference(superposition,[],[f2,f10]) ).

fof(f696,plain,
    ! [X1] :
      ( ~ axiom(or(sF4,sF0))
      | ~ theorem(or(sF1,X1))
      | theorem(or(sF4,X1)) ),
    inference(superposition,[],[f141,f14]) ).

fof(f141,plain,
    ! [X4,X5] :
      ( ~ axiom(or(not(X5),sF0))
      | ~ theorem(or(sF1,X4))
      | theorem(or(not(X5),X4)) ),
    inference(superposition,[],[f8,f11]) ).

fof(f8,axiom,
    ! [X3,X4,X5] :
      ( ~ theorem(or(not(X4),X5))
      | theorem(or(not(X3),X5))
      | ~ axiom(or(not(X3),X4)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_3) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem    : LCL203-1 : TPTP v8.1.0. Released v1.1.0.
% 0.12/0.12  % 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 : n022.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 01:44:56 EDT 2022
% 0.12/0.33  % CPUTime    : 
% 0.18/0.47  % (18937)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  % (18945)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.18/0.51  % (18937)First to succeed.
% 0.18/0.52  % (18935)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)
% 0.18/0.52  % (18925)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)
% 0.18/0.52  % (18929)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.18/0.52  % (18925)Refutation not found, incomplete strategy% (18925)------------------------------
% 0.18/0.52  % (18925)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.52  % (18925)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.52  % (18925)Termination reason: Refutation not found, incomplete strategy
% 0.18/0.52  
% 0.18/0.52  % (18925)Memory used [KB]: 5373
% 0.18/0.52  % (18925)Time elapsed: 0.123 s
% 0.18/0.52  % (18925)------------------------------
% 0.18/0.52  % (18925)------------------------------
% 0.18/0.52  % (18937)Refutation found. Thanks to Tanya!
% 0.18/0.52  % SZS status Unsatisfiable for theBenchmark
% 0.18/0.52  % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.52  % (18937)------------------------------
% 0.18/0.52  % (18937)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.52  % (18937)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.52  % (18937)Termination reason: Refutation
% 0.18/0.52  
% 0.18/0.52  % (18937)Memory used [KB]: 5884
% 0.18/0.52  % (18937)Time elapsed: 0.118 s
% 0.18/0.52  % (18937)Instructions burned: 27 (million)
% 0.18/0.52  % (18937)------------------------------
% 0.18/0.52  % (18937)------------------------------
% 0.18/0.52  % (18923)Success in time 0.179 s
%------------------------------------------------------------------------------