TSTP Solution File: SWV972-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SWV972-1 : TPTP v8.1.0. Released v4.1.0.
% 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 : n024.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 19:02:09 EDT 2022

% Result   : Unsatisfiable 0.39s 0.88s
% Output   : Refutation 0.39s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   22 (  15 unt;   0 def)
%            Number of atoms       :   30 (   5 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   24 (  16   ~;   8   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   2 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   2 prp; 0-5 aty)
%            Number of functors    :   17 (  17 usr;  12 con; 0-5 aty)
%            Number of variables   :    7 (   7   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1052,plain,
    $false,
    inference(subsumption_resolution,[],[f1051,f603]) ).

fof(f603,plain,
    c_List_Olist__all2(sF4,v_sko__CHAINED__1(v_E____,v_P,v_Us____,v_es_Ha____,v_h_Ha____),v_Us____,tc_Type_Oty,tc_Type_Oty),
    inference(forward_demodulation,[],[f602,f513]) ).

fof(f513,plain,
    c_TypeRel_Owiden(v_P,sF3) = sF4,
    introduced(function_definition,[]) ).

fof(f602,plain,
    c_List_Olist__all2(c_TypeRel_Owiden(v_P,sF3),v_sko__CHAINED__1(v_E____,v_P,v_Us____,v_es_Ha____,v_h_Ha____),v_Us____,tc_Type_Oty,tc_Type_Oty),
    inference(forward_demodulation,[],[f601,f512]) ).

fof(f512,plain,
    tc_prod(sF1,sF2) = sF3,
    introduced(function_definition,[]) ).

fof(f601,plain,
    c_List_Olist__all2(c_TypeRel_Owiden(v_P,tc_prod(sF1,sF2)),v_sko__CHAINED__1(v_E____,v_P,v_Us____,v_es_Ha____,v_h_Ha____),v_Us____,tc_Type_Oty,tc_Type_Oty),
    inference(forward_demodulation,[],[f600,f510]) ).

fof(f510,plain,
    sF1 = tc_List_Olist(sF0),
    introduced(function_definition,[]) ).

fof(f600,plain,
    c_List_Olist__all2(c_TypeRel_Owiden(v_P,tc_prod(tc_List_Olist(sF0),sF2)),v_sko__CHAINED__1(v_E____,v_P,v_Us____,v_es_Ha____,v_h_Ha____),v_Us____,tc_Type_Oty,tc_Type_Oty),
    inference(forward_demodulation,[],[f599,f511]) ).

fof(f511,plain,
    tc_Expr_Oexp(sF0) = sF2,
    introduced(function_definition,[]) ).

fof(f599,plain,
    c_List_Olist__all2(c_TypeRel_Owiden(v_P,tc_prod(tc_List_Olist(sF0),tc_Expr_Oexp(sF0))),v_sko__CHAINED__1(v_E____,v_P,v_Us____,v_es_Ha____,v_h_Ha____),v_Us____,tc_Type_Oty,tc_Type_Oty),
    inference(forward_demodulation,[],[f450,f509]) ).

fof(f509,plain,
    tc_List_Olist(tc_String_Ochar) = sF0,
    introduced(function_definition,[]) ).

fof(f450,axiom,
    c_List_Olist__all2(c_TypeRel_Owiden(v_P,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),v_sko__CHAINED__1(v_E____,v_P,v_Us____,v_es_Ha____,v_h_Ha____),v_Us____,tc_Type_Oty,tc_Type_Oty),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_CHAINED_1) ).

fof(f1051,plain,
    ~ c_List_Olist__all2(sF4,v_sko__CHAINED__1(v_E____,v_P,v_Us____,v_es_Ha____,v_h_Ha____),v_Us____,tc_Type_Oty,tc_Type_Oty),
    inference(resolution,[],[f451,f589]) ).

fof(f589,plain,
    ! [X69] :
      ( ~ c_WellTypeRT_OWTrts(v_P,v_h_Ha____,v_E____,v_es_Ha____,X69)
      | ~ c_List_Olist__all2(sF4,X69,v_Us____,tc_Type_Oty,tc_Type_Oty) ),
    inference(backward_demodulation,[],[f588,f513]) ).

fof(f588,plain,
    ! [X69] :
      ( ~ c_WellTypeRT_OWTrts(v_P,v_h_Ha____,v_E____,v_es_Ha____,X69)
      | ~ c_List_Olist__all2(c_TypeRel_Owiden(v_P,sF3),X69,v_Us____,tc_Type_Oty,tc_Type_Oty) ),
    inference(forward_demodulation,[],[f587,f512]) ).

fof(f587,plain,
    ! [X69] :
      ( ~ c_WellTypeRT_OWTrts(v_P,v_h_Ha____,v_E____,v_es_Ha____,X69)
      | ~ c_List_Olist__all2(c_TypeRel_Owiden(v_P,tc_prod(sF1,sF2)),X69,v_Us____,tc_Type_Oty,tc_Type_Oty) ),
    inference(forward_demodulation,[],[f586,f510]) ).

fof(f586,plain,
    ! [X69] :
      ( ~ c_List_Olist__all2(c_TypeRel_Owiden(v_P,tc_prod(tc_List_Olist(sF0),sF2)),X69,v_Us____,tc_Type_Oty,tc_Type_Oty)
      | ~ c_WellTypeRT_OWTrts(v_P,v_h_Ha____,v_E____,v_es_Ha____,X69) ),
    inference(forward_demodulation,[],[f585,f511]) ).

fof(f585,plain,
    ! [X69] :
      ( ~ c_List_Olist__all2(c_TypeRel_Owiden(v_P,tc_prod(tc_List_Olist(sF0),tc_Expr_Oexp(sF0))),X69,v_Us____,tc_Type_Oty,tc_Type_Oty)
      | ~ c_WellTypeRT_OWTrts(v_P,v_h_Ha____,v_E____,v_es_Ha____,X69) ),
    inference(forward_demodulation,[],[f584,f509]) ).

fof(f584,plain,
    ! [X69] :
      ( ~ c_List_Olist__all2(c_TypeRel_Owiden(v_P,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X69,v_Us____,tc_Type_Oty,tc_Type_Oty)
      | ~ c_WellTypeRT_OWTrts(v_P,v_h_Ha____,v_E____,v_es_Ha____,X69) ),
    inference(subsumption_resolution,[],[f409,f452]) ).

fof(f452,axiom,
    ~ v_thesis____,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).

fof(f409,axiom,
    ! [X69] :
      ( ~ c_WellTypeRT_OWTrts(v_P,v_h_Ha____,v_E____,v_es_Ha____,X69)
      | v_thesis____
      | ~ c_List_Olist__all2(c_TypeRel_Owiden(v_P,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X69,v_Us____,tc_Type_Oty,tc_Type_Oty) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_that_0) ).

fof(f451,axiom,
    c_WellTypeRT_OWTrts(v_P,v_h_Ha____,v_E____,v_es_Ha____,v_sko__CHAINED__1(v_E____,v_P,v_Us____,v_es_Ha____,v_h_Ha____)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_CHAINED_0) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem    : SWV972-1 : TPTP v8.1.0. Released v4.1.0.
% 0.06/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.33  % Computer : n024.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 20:13:34 EDT 2022
% 0.12/0.34  % CPUTime    : 
% 0.12/0.35  ipcrm: permission denied for id (682917889)
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% 0.18/0.51  ipcrm: permission denied for id (686293119)
% 0.39/0.73  % (23238)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/99Mi)
% 0.39/0.74  % (23243)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/138Mi)
% 0.39/0.74  % (23237)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 (2997ds/75Mi)
% 0.39/0.74  % (23244)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/498Mi)
% 0.39/0.75  % (23249)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/177Mi)
% 0.39/0.76  % (23250)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/439Mi)
% 0.39/0.87  % (23224)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/37Mi)
% 0.39/0.87  % (23222)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 (2997ds/191324Mi)
% 0.39/0.88  % (23223)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/50Mi)
% 0.39/0.88  % (23229)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/7Mi)
% 0.39/0.88  % (23237)First to succeed.
% 0.39/0.88  % (23237)Refutation found. Thanks to Tanya!
% 0.39/0.88  % SZS status Unsatisfiable for theBenchmark
% 0.39/0.88  % SZS output start Proof for theBenchmark
% See solution above
% 0.39/0.88  % (23237)------------------------------
% 0.39/0.88  % (23237)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.39/0.88  % (23237)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.39/0.88  % (23237)Termination reason: Refutation
% 0.39/0.88  
% 0.39/0.88  % (23237)Memory used [KB]: 2302
% 0.39/0.88  % (23237)Time elapsed: 0.242 s
% 0.39/0.88  % (23237)Instructions burned: 68 (million)
% 0.39/0.88  % (23237)------------------------------
% 0.39/0.88  % (23237)------------------------------
% 0.39/0.89  % (23057)Success in time 0.541 s
%------------------------------------------------------------------------------