TSTP Solution File: SET563-6 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SET563-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% 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 : n001.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 18:21:26 EDT 2022

% Result   : Unsatisfiable 0.19s 0.55s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   14 (  11 unt;   0 def)
%            Number of atoms       :   17 (   5 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :    8 (   5   ~;   3   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   2 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :   11 (  11 usr;   6 con; 0-2 aty)
%            Number of variables   :   12 (  12   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f215,plain,
    $false,
    inference(subsumption_resolution,[],[f213,f135]) ).

fof(f135,plain,
    ~ subclass(domain_of(domain_of(flip(cross_product(xh1,universal_class)))),domain_of(xh2)),
    inference(definition_unfolding,[],[f115,f117]) ).

fof(f117,plain,
    ! [X4] : range_of(X4) = domain_of(domain_of(flip(cross_product(X4,universal_class)))),
    inference(definition_unfolding,[],[f39,f38]) ).

fof(f38,axiom,
    ! [X1] : domain_of(flip(cross_product(X1,universal_class))) = inverse(X1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',inverse) ).

fof(f39,axiom,
    ! [X4] : domain_of(inverse(X4)) = range_of(X4),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',range_of) ).

fof(f115,axiom,
    ~ subclass(range_of(xh1),domain_of(xh2)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_compatible_function_property3_3) ).

fof(f213,plain,
    subclass(domain_of(domain_of(flip(cross_product(xh1,universal_class)))),domain_of(xh2)),
    inference(superposition,[],[f184,f192]) ).

fof(f192,plain,
    domain_of(xh2) = domain_of(domain_of(xf2)),
    inference(resolution,[],[f114,f83]) ).

fof(f83,axiom,
    ! [X10,X11,X9] :
      ( ~ compatible(X9,X10,X11)
      | domain_of(domain_of(X10)) = domain_of(X9) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',compatible2) ).

fof(f114,axiom,
    compatible(xh2,xf2,xf3),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_compatible_function_property3_2) ).

fof(f184,plain,
    subclass(domain_of(domain_of(flip(cross_product(xh1,universal_class)))),domain_of(domain_of(xf2))),
    inference(resolution,[],[f113,f140]) ).

fof(f140,plain,
    ! [X10,X11,X9] :
      ( ~ compatible(X9,X10,X11)
      | subclass(domain_of(domain_of(flip(cross_product(X9,universal_class)))),domain_of(domain_of(X11))) ),
    inference(definition_unfolding,[],[f84,f117]) ).

fof(f84,axiom,
    ! [X10,X11,X9] :
      ( subclass(range_of(X9),domain_of(domain_of(X11)))
      | ~ compatible(X9,X10,X11) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',compatible3) ).

fof(f113,axiom,
    compatible(xh1,xf1,xf2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_compatible_function_property3_1) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : SET563-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.11/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34  % Computer : n001.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 14:20:31 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.19/0.52  % (14442)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)
% 0.19/0.52  % (14450)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.52  % (14450)Refutation not found, incomplete strategy% (14450)------------------------------
% 0.19/0.52  % (14450)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52  % (14450)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52  % (14450)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.52  
% 0.19/0.52  % (14450)Memory used [KB]: 6012
% 0.19/0.52  % (14450)Time elapsed: 0.112 s
% 0.19/0.52  % (14450)Instructions burned: 4 (million)
% 0.19/0.52  % (14450)------------------------------
% 0.19/0.52  % (14450)------------------------------
% 0.19/0.53  % (14466)lrs+1010_1:16_acc=on:anc=all:avsq=on:awrs=converge:s2a=on:sac=on:sos=on:ss=axioms:i=81:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/81Mi)
% 0.19/0.55  % (14442)First to succeed.
% 0.19/0.55  % (14442)Refutation found. Thanks to Tanya!
% 0.19/0.55  % SZS status Unsatisfiable for theBenchmark
% 0.19/0.55  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.55  % (14442)------------------------------
% 0.19/0.55  % (14442)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55  % (14442)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55  % (14442)Termination reason: Refutation
% 0.19/0.55  
% 0.19/0.55  % (14442)Memory used [KB]: 1918
% 0.19/0.55  % (14442)Time elapsed: 0.135 s
% 0.19/0.55  % (14442)Instructions burned: 17 (million)
% 0.19/0.55  % (14442)------------------------------
% 0.19/0.55  % (14442)------------------------------
% 0.19/0.55  % (14440)Success in time 0.206 s
%------------------------------------------------------------------------------