TSTP Solution File: SET558-6 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SET558-6 : 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 : n005.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 18:21:25 EDT 2022

% Result   : Unsatisfiable 0.19s 0.53s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    5
% Syntax   : Number of formulae    :    9 (   7 unt;   0 def)
%            Number of atoms       :   11 (   6 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :    5 (   3   ~;   2   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   2 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :    5 (   5 usr;   3 con; 0-2 aty)
%            Number of variables   :    4 (   4   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f355,plain,
    $false,
    inference(subsumption_resolution,[],[f354,f115]) ).

fof(f115,axiom,
    cross_product(domain_of(xh),domain_of(xh)) != domain_of(xf1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_compatible_functions_alternate_defn1_3) ).

fof(f354,plain,
    cross_product(domain_of(xh),domain_of(xh)) = domain_of(xf1),
    inference(forward_demodulation,[],[f353,f235]) ).

fof(f235,plain,
    domain_of(xh) = domain_of(domain_of(xf1)),
    inference(resolution,[],[f83,f114]) ).

fof(f114,axiom,
    compatible(xh,xf1,xf2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_compatible_functions_alternate_defn1_2) ).

fof(f83,axiom,
    ! [X10,X11,X9] :
      ( ~ compatible(X9,X10,X11)
      | domain_of(domain_of(X10)) = domain_of(X9) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',compatible2) ).

fof(f353,plain,
    domain_of(xf1) = cross_product(domain_of(domain_of(xf1)),domain_of(domain_of(xf1))),
    inference(resolution,[],[f79,f113]) ).

fof(f113,axiom,
    operation(xf1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_compatible_functions_alternate_defn1_1) ).

fof(f79,axiom,
    ! [X8] :
      ( ~ operation(X8)
      | domain_of(X8) = cross_product(domain_of(domain_of(X8)),domain_of(domain_of(X8))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',operation2) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SET558-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.07/0.13  % 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 : n005.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
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Tue Aug 30 13:58:33 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 0.19/0.51  % (16464)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=97:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/97Mi)
% 0.19/0.51  % (16453)dis+4_1:1_bd=off:cond=fast:fde=unused:lcm=reverse:lma=on:nicw=on:nwc=2.0:s2a=on:s2agt=16:sac=on:sp=frequency:i=23:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/23Mi)
% 0.19/0.51  % (16456)dis+1011_3:29_av=off:awrs=decay:awrsf=32:bce=on:drc=off:fde=unused:gsp=on:irw=on:nwc=2.0:spb=goal_then_units:updr=off:urr=ec_only:i=29:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/29Mi)
% 0.19/0.52  % (16462)lrs+10_1:7_av=off:awrs=converge:awrsf=40:br=off:bsd=on:cond=on:drc=off:nwc=3.0:plsq=on:plsqc=1:s2a=on:s2agt=16:to=lpo:urr=on:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.19/0.52  % (16454)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=5:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 0.19/0.52  % (16454)Instruction limit reached!
% 0.19/0.52  % (16454)------------------------------
% 0.19/0.52  % (16454)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52  % (16454)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52  % (16454)Termination reason: Unknown
% 0.19/0.52  % (16454)Termination phase: Saturation
% 0.19/0.52  
% 0.19/0.52  % (16454)Memory used [KB]: 1407
% 0.19/0.52  % (16454)Time elapsed: 0.004 s
% 0.19/0.52  % (16454)Instructions burned: 5 (million)
% 0.19/0.52  % (16454)------------------------------
% 0.19/0.52  % (16454)------------------------------
% 0.19/0.53  % (16462)Instruction limit reached!
% 0.19/0.53  % (16462)------------------------------
% 0.19/0.53  % (16462)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53  % (16462)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53  % (16462)Termination reason: Unknown
% 0.19/0.53  % (16462)Termination phase: Property scanning
% 0.19/0.53  
% 0.19/0.53  % (16462)Memory used [KB]: 1407
% 0.19/0.53  % (16462)Time elapsed: 0.007 s
% 0.19/0.53  % (16462)Instructions burned: 6 (million)
% 0.19/0.53  % (16444)lrs+10_1:16_awrs=converge:awrsf=40:br=off:ep=RSTC:flr=on:gsp=on:nwc=3.0:sos=on:urr=on:i=4:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.19/0.53  % (16462)------------------------------
% 0.19/0.53  % (16462)------------------------------
% 0.19/0.53  % (16444)Instruction limit reached!
% 0.19/0.53  % (16444)------------------------------
% 0.19/0.53  % (16444)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53  % (16444)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53  % (16444)Termination reason: Unknown
% 0.19/0.53  % (16444)Termination phase: Property scanning
% 0.19/0.53  
% 0.19/0.53  % (16444)Memory used [KB]: 1407
% 0.19/0.53  % (16444)Time elapsed: 0.003 s
% 0.19/0.53  % (16444)Instructions burned: 6 (million)
% 0.19/0.53  % (16444)------------------------------
% 0.19/0.53  % (16444)------------------------------
% 0.19/0.53  % (16448)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.19/0.53  % (16456)First to succeed.
% 0.19/0.53  % (16464)Also succeeded, but the first one will report.
% 0.19/0.53  % (16456)Refutation found. Thanks to Tanya!
% 0.19/0.53  % SZS status Unsatisfiable for theBenchmark
% 0.19/0.53  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.53  % (16456)------------------------------
% 0.19/0.53  % (16456)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53  % (16456)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53  % (16456)Termination reason: Refutation
% 0.19/0.53  
% 0.19/0.53  % (16456)Memory used [KB]: 1791
% 0.19/0.53  % (16456)Time elapsed: 0.073 s
% 0.19/0.53  % (16456)Instructions burned: 23 (million)
% 0.19/0.53  % (16456)------------------------------
% 0.19/0.53  % (16456)------------------------------
% 0.19/0.53  % (16441)Success in time 0.176 s
%------------------------------------------------------------------------------