TSTP Solution File: SEU247+1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SEU247+1 : TPTP v8.1.0. Released v3.3.0.
% 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 : n012.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 18:32:48 EDT 2022

% Result   : Theorem 1.31s 0.53s
% Output   : Refutation 1.31s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   23 (  14 unt;   0 def)
%            Number of atoms       :   32 (  21 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   18 (   9   ~;   4   |;   1   &)
%                                         (   0 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   5 con; 0-2 aty)
%            Number of variables   :   25 (  23   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f115,plain,
    $false,
    inference(trivial_inequality_removal,[],[f114]) ).

fof(f114,plain,
    sF3 != sF3,
    inference(superposition,[],[f36,f107]) ).

fof(f107,plain,
    sF3 = sF4,
    inference(forward_demodulation,[],[f106,f34]) ).

fof(f34,plain,
    sF3 = relation_rng_restriction(sK1,sF2),
    introduced(function_definition,[]) ).

fof(f106,plain,
    relation_rng_restriction(sK1,sF2) = sF4,
    inference(forward_demodulation,[],[f104,f35]) ).

fof(f35,plain,
    relation_restriction(sK0,sK1) = sF4,
    introduced(function_definition,[]) ).

fof(f104,plain,
    relation_rng_restriction(sK1,sF2) = relation_restriction(sK0,sK1),
    inference(superposition,[],[f64,f101]) ).

fof(f101,plain,
    ! [X0] : relation_dom_restriction(relation_rng_restriction(X0,sK0),sK1) = relation_rng_restriction(X0,sF2),
    inference(superposition,[],[f97,f33]) ).

fof(f33,plain,
    sF2 = relation_dom_restriction(sK0,sK1),
    introduced(function_definition,[]) ).

fof(f97,plain,
    ! [X14,X15] : relation_dom_restriction(relation_rng_restriction(X14,sK0),X15) = relation_rng_restriction(X14,relation_dom_restriction(sK0,X15)),
    inference(resolution,[],[f29,f28]) ).

fof(f28,plain,
    relation(sK0),
    inference(cnf_transformation,[],[f16]) ).

fof(f16,plain,
    ? [X1,X0] :
      ( relation(X1)
      & relation_restriction(X1,X0) != relation_rng_restriction(X0,relation_dom_restriction(X1,X0)) ),
    inference(ennf_transformation,[],[f12]) ).

fof(f12,negated_conjecture,
    ~ ! [X1,X0] :
        ( relation(X1)
       => relation_restriction(X1,X0) = relation_rng_restriction(X0,relation_dom_restriction(X1,X0)) ),
    inference(negated_conjecture,[],[f11]) ).

fof(f11,conjecture,
    ! [X1,X0] :
      ( relation(X1)
     => relation_restriction(X1,X0) = relation_rng_restriction(X0,relation_dom_restriction(X1,X0)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t18_wellord1) ).

fof(f29,plain,
    ! [X2,X0,X1] :
      ( ~ relation(X2)
      | relation_dom_restriction(relation_rng_restriction(X0,X2),X1) = relation_rng_restriction(X0,relation_dom_restriction(X2,X1)) ),
    inference(cnf_transformation,[],[f17]) ).

fof(f17,plain,
    ! [X2,X1,X0] :
      ( relation_dom_restriction(relation_rng_restriction(X0,X2),X1) = relation_rng_restriction(X0,relation_dom_restriction(X2,X1))
      | ~ relation(X2) ),
    inference(ennf_transformation,[],[f9]) ).

fof(f9,axiom,
    ! [X1,X0,X2] :
      ( relation(X2)
     => relation_dom_restriction(relation_rng_restriction(X0,X2),X1) = relation_rng_restriction(X0,relation_dom_restriction(X2,X1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t140_relat_1) ).

fof(f64,plain,
    ! [X9] : relation_dom_restriction(relation_rng_restriction(X9,sK0),X9) = relation_restriction(sK0,X9),
    inference(resolution,[],[f24,f28]) ).

fof(f24,plain,
    ! [X0,X1] :
      ( ~ relation(X1)
      | relation_restriction(X1,X0) = relation_dom_restriction(relation_rng_restriction(X0,X1),X0) ),
    inference(cnf_transformation,[],[f22]) ).

fof(f22,plain,
    ! [X1,X0] :
      ( relation_restriction(X1,X0) = relation_dom_restriction(relation_rng_restriction(X0,X1),X0)
      | ~ relation(X1) ),
    inference(ennf_transformation,[],[f10]) ).

fof(f10,axiom,
    ! [X0,X1] :
      ( relation(X1)
     => relation_restriction(X1,X0) = relation_dom_restriction(relation_rng_restriction(X0,X1),X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t17_wellord1) ).

fof(f36,plain,
    sF3 != sF4,
    inference(definition_folding,[],[f27,f35,f34,f33]) ).

fof(f27,plain,
    relation_rng_restriction(sK1,relation_dom_restriction(sK0,sK1)) != relation_restriction(sK0,sK1),
    inference(cnf_transformation,[],[f16]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12  % Problem    : SEU247+1 : TPTP v8.1.0. Released v3.3.0.
% 0.08/0.13  % 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 : n012.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 14:56:20 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 0.21/0.51  % (16568)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.52  % (16575)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)
% 1.31/0.52  % (16587)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)
% 1.31/0.53  % (16579)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)
% 1.31/0.53  % (16570)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)
% 1.31/0.53  % (16575)First to succeed.
% 1.31/0.53  % (16587)Also succeeded, but the first one will report.
% 1.31/0.53  TRYING [1]
% 1.31/0.53  TRYING [2]
% 1.31/0.53  % (16575)Refutation found. Thanks to Tanya!
% 1.31/0.53  % SZS status Theorem for theBenchmark
% 1.31/0.53  % SZS output start Proof for theBenchmark
% See solution above
% 1.31/0.53  % (16575)------------------------------
% 1.31/0.53  % (16575)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.31/0.53  % (16575)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.31/0.53  % (16575)Termination reason: Refutation
% 1.31/0.53  
% 1.31/0.53  % (16575)Memory used [KB]: 5500
% 1.31/0.53  % (16575)Time elapsed: 0.137 s
% 1.31/0.53  % (16575)Instructions burned: 5 (million)
% 1.31/0.53  % (16575)------------------------------
% 1.31/0.53  % (16575)------------------------------
% 1.31/0.53  % (16561)Success in time 0.174 s
%------------------------------------------------------------------------------