TSTP Solution File: CAT006-4 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : CAT006-4 : TPTP v8.1.0. Released v1.0.0.
% 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 15:51:15 EDT 2022

% Result   : Unsatisfiable 0.20s 0.52s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   17 (  12 unt;   0 def)
%            Number of atoms       :   22 (  11 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   12 (   7   ~;   5   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   2 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   3 con; 0-2 aty)
%            Number of variables   :    7 (   7   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f92,plain,
    $false,
    inference(subsumption_resolution,[],[f84,f18]) ).

fof(f18,plain,
    d != sF0,
    inference(definition_folding,[],[f15,f17]) ).

fof(f17,plain,
    codomain(a) = sF0,
    introduced(function_definition,[]) ).

fof(f15,axiom,
    d != codomain(a),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_codomain_of_a_is_d) ).

fof(f84,plain,
    d = sF0,
    inference(superposition,[],[f17,f70]) ).

fof(f70,plain,
    d = codomain(a),
    inference(forward_demodulation,[],[f63,f58]) ).

fof(f58,plain,
    d = domain(d),
    inference(subsumption_resolution,[],[f57,f35]) ).

fof(f35,plain,
    there_exists(d),
    inference(resolution,[],[f32,f4]) ).

fof(f4,axiom,
    ! [X0] :
      ( ~ there_exists(domain(X0))
      | there_exists(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',domain_has_elements) ).

fof(f32,plain,
    there_exists(domain(d)),
    inference(resolution,[],[f6,f12]) ).

fof(f12,axiom,
    there_exists(compose(d,a)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',da_exists) ).

fof(f6,axiom,
    ! [X0,X1] :
      ( ~ there_exists(compose(X0,X1))
      | there_exists(domain(X0)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',composition_implies_domain) ).

fof(f57,plain,
    ( ~ there_exists(d)
    | d = domain(d) ),
    inference(superposition,[],[f14,f10]) ).

fof(f10,axiom,
    ! [X0] : compose(X0,domain(X0)) = X0,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',compose_domain) ).

fof(f14,axiom,
    ! [X0] :
      ( ~ there_exists(compose(d,X0))
      | compose(d,X0) = X0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dx_equals_x) ).

fof(f63,plain,
    codomain(a) = domain(d),
    inference(resolution,[],[f7,f12]) ).

fof(f7,axiom,
    ! [X0,X1] :
      ( ~ there_exists(compose(X0,X1))
      | domain(X0) = codomain(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',domain_codomain_composition1) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : CAT006-4 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.34  % Computer : n012.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit   : 300
% 0.14/0.34  % WCLimit    : 300
% 0.14/0.34  % DateTime   : Mon Aug 29 16:16:21 EDT 2022
% 0.14/0.34  % CPUTime    : 
% 0.20/0.50  % (18846)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.20/0.50  % (18838)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.50  % (18854)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.20/0.50  % (18838)First to succeed.
% 0.20/0.51  % (18854)Also succeeded, but the first one will report.
% 0.20/0.51  % (18825)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)
% 0.20/0.51  TRYING [1]
% 0.20/0.51  TRYING [2]
% 0.20/0.51  TRYING [3]
% 0.20/0.51  % (18833)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.52  % (18826)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)
% 0.20/0.52  % (18833)Instruction limit reached!
% 0.20/0.52  % (18833)------------------------------
% 0.20/0.52  % (18833)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52  % (18833)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52  % (18833)Termination reason: Unknown
% 0.20/0.52  % (18833)Termination phase: Saturation
% 0.20/0.52  
% 0.20/0.52  % (18833)Memory used [KB]: 5373
% 0.20/0.52  % (18833)Time elapsed: 0.114 s
% 0.20/0.52  % (18833)Instructions burned: 2 (million)
% 0.20/0.52  % (18833)------------------------------
% 0.20/0.52  % (18833)------------------------------
% 0.20/0.52  % (18838)Refutation found. Thanks to Tanya!
% 0.20/0.52  % SZS status Unsatisfiable for theBenchmark
% 0.20/0.52  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.52  % (18838)------------------------------
% 0.20/0.52  % (18838)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52  % (18838)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52  % (18838)Termination reason: Refutation
% 0.20/0.52  
% 0.20/0.52  % (18838)Memory used [KB]: 5373
% 0.20/0.52  % (18838)Time elapsed: 0.110 s
% 0.20/0.52  % (18838)Instructions burned: 3 (million)
% 0.20/0.52  % (18838)------------------------------
% 0.20/0.52  % (18838)------------------------------
% 0.20/0.52  % (18824)Success in time 0.172 s
%------------------------------------------------------------------------------