TSTP Solution File: SWV858-1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SWV858-1 : 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_uns --cores 0 -t %d %s

% Computer : n013.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 18:54:35 EDT 2022

% Result   : Unsatisfiable 0.20s 0.59s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   15 (   8 unt;   0 def)
%            Number of atoms       :   25 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   19 (   9   ~;  10   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-3 aty)
%            Number of functors    :   12 (  12 usr;   7 con; 0-2 aty)
%            Number of variables   :   12 (  12   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f703,plain,
    $false,
    inference(subsumption_resolution,[],[f701,f552]) ).

fof(f552,axiom,
    ~ c_Hoare__Mirabelle_Otriple__valid(v_x,v_xa,t_a),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).

fof(f701,plain,
    c_Hoare__Mirabelle_Otriple__valid(v_x,v_xa,t_a),
    inference(resolution,[],[f693,f665]) ).

fof(f665,plain,
    ! [X1] :
      ( ~ c_Hoare__Mirabelle_Otriple__valid(X1,v_n(X1),t_a)
      | c_Hoare__Mirabelle_Otriple__valid(X1,v_xa,t_a) ),
    inference(resolution,[],[f662,f555]) ).

fof(f555,axiom,
    ! [X51,X46] :
      ( ~ hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),X51),v_ts_H))
      | ~ c_Hoare__Mirabelle_Otriple__valid(X46,v_n(X46),t_a)
      | c_Hoare__Mirabelle_Otriple__valid(X46,X51,t_a) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_6) ).

fof(f662,plain,
    hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_xa),v_ts_H)),
    inference(resolution,[],[f636,f550]) ).

fof(f550,axiom,
    c_lessequals(v_tsa,v_ts_H,tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).

fof(f636,plain,
    ! [X0] :
      ( ~ c_lessequals(v_tsa,X0,tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))
      | hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_xa),X0)) ),
    inference(resolution,[],[f535,f551]) ).

fof(f551,axiom,
    hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_xa),v_tsa)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).

fof(f535,axiom,
    ! [X2,X0,X1,X8] :
      ( ~ hBOOL(hAPP(hAPP(c_in(X2),X8),X0))
      | hBOOL(hAPP(hAPP(c_in(X2),X8),X1))
      | ~ c_lessequals(X0,X1,tc_fun(X2,tc_bool)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_subsetD_0) ).

fof(f693,plain,
    c_Hoare__Mirabelle_Otriple__valid(v_x,v_n(v_x),t_a),
    inference(resolution,[],[f691,f553]) ).

fof(f553,axiom,
    ! [X50] :
      ( ~ hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),X50),v_Ga))
      | c_Hoare__Mirabelle_Otriple__valid(v_x,X50,t_a) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_4) ).

fof(f691,plain,
    hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_n(v_x)),v_Ga)),
    inference(resolution,[],[f664,f552]) ).

fof(f664,plain,
    ! [X0] :
      ( c_Hoare__Mirabelle_Otriple__valid(X0,v_xa,t_a)
      | hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_n(X0)),v_Ga)) ),
    inference(resolution,[],[f662,f554]) ).

fof(f554,axiom,
    ! [X46,X47] :
      ( ~ hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),X47),v_ts_H))
      | c_Hoare__Mirabelle_Otriple__valid(X46,X47,t_a)
      | hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_n(X46)),v_Ga)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_5) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SWV858-1 : TPTP v8.1.0. Released v4.1.0.
% 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
% 0.13/0.35  % Computer : n013.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % 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 19:58:32 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 0.20/0.52  % (16864)lrs+1011_1:1_aac=none:bsr=unit_only:ep=R:sac=on:sos=all:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.20/0.52  % (16856)fmb+10_1:1_fmbes=contour:fmbsr=2.0:fmbsso=input_usage:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.20/0.53  % (16841)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.20/0.53  % (16848)lrs+1010_1:4_amm=off:bce=on:sd=1:sos=on:ss=included:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.53  % (16865)dis+10_1:1_add=large:alpa=false:anc=none:fd=off:lcm=reverse:nwc=5.0:sd=2:sgt=20:ss=included:i=46:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/46Mi)
% 0.20/0.54  % (16856)Instruction limit reached!
% 0.20/0.54  % (16856)------------------------------
% 0.20/0.54  % (16856)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54  % (16856)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54  % (16856)Termination reason: Unknown
% 0.20/0.54  % (16856)Termination phase: Finite model building preprocessing
% 0.20/0.54  
% 0.20/0.54  % (16856)Memory used [KB]: 2046
% 0.20/0.54  % (16856)Time elapsed: 0.009 s
% 0.20/0.54  % (16856)Instructions burned: 8 (million)
% 0.20/0.54  % (16856)------------------------------
% 0.20/0.54  % (16856)------------------------------
% 0.20/0.54  % (16855)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)
% 0.20/0.54  % (16863)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)
% 0.20/0.55  % (16857)lrs+1_1:1_aac=none:add=large:anc=all_dependent:cond=fast:ep=RST:fsr=off:lma=on:nm=2:sos=on:sp=reverse_arity:stl=30:uhcvi=on:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.55  % (16857)Instruction limit reached!
% 0.20/0.55  % (16857)------------------------------
% 0.20/0.55  % (16857)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55  % (16857)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55  % (16857)Termination reason: Unknown
% 0.20/0.55  % (16857)Termination phase: Unused predicate definition removal
% 0.20/0.55  
% 0.20/0.55  % (16857)Memory used [KB]: 1791
% 0.20/0.55  % (16857)Time elapsed: 0.002 s
% 0.20/0.55  % (16857)Instructions burned: 2 (million)
% 0.20/0.55  % (16857)------------------------------
% 0.20/0.55  % (16857)------------------------------
% 0.20/0.55  % (16854)lrs+30_1:12_av=off:bs=unit_only:fsd=on:gs=on:lwlo=on:newcnf=on:slsq=on:slsqr=1,2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.55  % (16842)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)
% 0.20/0.56  % (16845)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=34:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/34Mi)
% 0.20/0.56  % (16846)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.20/0.56  % (16844)lrs+10_1:1_bd=off:drc=off:lcm=reverse:nwc=5.0:sd=1:sgt=16:spb=goal_then_units:ss=axioms:to=lpo:i=43:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/43Mi)
% 0.20/0.56  % (16864)Instruction limit reached!
% 0.20/0.56  % (16864)------------------------------
% 0.20/0.56  % (16864)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.56  % (16864)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.56  % (16864)Termination reason: Unknown
% 0.20/0.56  % (16864)Termination phase: Saturation
% 0.20/0.56  
% 0.20/0.56  % (16864)Memory used [KB]: 7164
% 0.20/0.56  % (16864)Time elapsed: 0.090 s
% 0.20/0.56  % (16864)Instructions burned: 38 (million)
% 0.20/0.56  % (16864)------------------------------
% 0.20/0.56  % (16864)------------------------------
% 0.20/0.56  % (16844)First to succeed.
% 0.20/0.57  % (16847)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)
% 0.20/0.57  % (16848)Instruction limit reached!
% 0.20/0.57  % (16848)------------------------------
% 0.20/0.57  % (16848)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.57  % (16848)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.57  % (16848)Termination reason: Unknown
% 0.20/0.57  % (16848)Termination phase: Saturation
% 0.20/0.57  
% 0.20/0.57  % (16848)Memory used [KB]: 7291
% 0.20/0.57  % (16848)Time elapsed: 0.103 s
% 0.20/0.57  % (16848)Instructions burned: 51 (million)
% 0.20/0.57  % (16848)------------------------------
% 0.20/0.57  % (16848)------------------------------
% 0.20/0.57  % (16869)lrs+10_1:1_sos=all:ss=axioms:st=1.5:i=20:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/20Mi)
% 0.20/0.57  % (16867)lrs+3_8:1_anc=none:erd=off:fsd=on:s2a=on:s2agt=16:sgt=16:sos=on:sp=frequency:ss=included:i=71:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/71Mi)
% 0.20/0.57  % (16854)Instruction limit reached!
% 0.20/0.57  % (16854)------------------------------
% 0.20/0.57  % (16854)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.57  % (16854)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.57  % (16854)Termination reason: Unknown
% 0.20/0.57  % (16854)Termination phase: SInE selection
% 0.20/0.57  
% 0.20/0.57  % (16854)Memory used [KB]: 1791
% 0.20/0.57  % (16854)Time elapsed: 0.003 s
% 0.20/0.57  % (16854)Instructions burned: 3 (million)
% 0.20/0.57  % (16854)------------------------------
% 0.20/0.57  % (16854)------------------------------
% 0.20/0.58  % (16859)lrs+1003_1:1024_add=large:afr=on:cond=fast:fsr=off:gs=on:sos=on:sp=reverse_arity:i=28:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/28Mi)
% 0.20/0.58  % (16861)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)
% 0.20/0.58  % (16843)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)
% 0.20/0.58  % (16843)Instruction limit reached!
% 0.20/0.58  % (16843)------------------------------
% 0.20/0.58  % (16843)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.58  % (16843)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.58  % (16843)Termination reason: Unknown
% 0.20/0.58  % (16843)Termination phase: General splitting
% 0.20/0.58  
% 0.20/0.58  % (16843)Memory used [KB]: 1791
% 0.20/0.58  % (16843)Time elapsed: 0.004 s
% 0.20/0.58  % (16843)Instructions burned: 4 (million)
% 0.20/0.58  % (16843)------------------------------
% 0.20/0.58  % (16843)------------------------------
% 0.20/0.58  % (16861)Instruction limit reached!
% 0.20/0.58  % (16861)------------------------------
% 0.20/0.58  % (16861)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.58  % (16855)Instruction limit reached!
% 0.20/0.58  % (16855)------------------------------
% 0.20/0.58  % (16855)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.58  % (16861)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.58  % (16861)Termination reason: Unknown
% 0.20/0.58  % (16855)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.58  % (16861)Termination phase: Property scanning
% 0.20/0.58  % (16855)Termination reason: Unknown
% 0.20/0.58  
% 0.20/0.58  % (16855)Termination phase: Saturation
% 0.20/0.58  
% 0.20/0.58  % (16861)Memory used [KB]: 1791
% 0.20/0.58  % (16855)Memory used [KB]: 2046
% 0.20/0.58  % (16861)Time elapsed: 0.004 s
% 0.20/0.58  % (16855)Time elapsed: 0.015 s
% 0.20/0.58  % (16861)Instructions burned: 6 (million)
% 0.20/0.58  % (16855)Instructions burned: 29 (million)
% 0.20/0.58  % (16861)------------------------------
% 0.20/0.58  % (16861)------------------------------
% 0.20/0.58  % (16855)------------------------------
% 0.20/0.58  % (16855)------------------------------
% 0.20/0.58  % (16862)lrs+1010_1:1_bd=off:fsr=off:sd=1:sos=on:ss=axioms:i=67:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/67Mi)
% 0.20/0.58  % (16853)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)
% 0.20/0.58  % (16851)lrs+1004_1:734_av=off:awrs=converge:awrsf=70:br=off:ep=RSTC:erd=off:gs=on:nwc=3.0:s2a=on:s2agt=16:sp=occurrence:updr=off:urr=on:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.20/0.58  % (16866)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)
% 0.20/0.58  % (16853)Instruction limit reached!
% 0.20/0.58  % (16853)------------------------------
% 0.20/0.58  % (16853)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.58  % (16853)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.58  % (16853)Termination reason: Unknown
% 0.20/0.58  % (16853)Termination phase: Saturation
% 0.20/0.58  
% 0.20/0.58  % (16853)Memory used [KB]: 6396
% 0.20/0.58  % (16853)Time elapsed: 0.004 s
% 0.20/0.58  % (16853)Instructions burned: 6 (million)
% 0.20/0.58  % (16853)------------------------------
% 0.20/0.58  % (16853)------------------------------
% 0.20/0.58  % (16862)Also succeeded, but the first one will report.
% 0.20/0.58  % (16868)lrs+10_1:1_av=off:sd=2:sos=on:sp=reverse_arity:ss=axioms:to=lpo:i=73:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/73Mi)
% 0.20/0.58  % (16851)Instruction limit reached!
% 0.20/0.58  % (16851)------------------------------
% 0.20/0.58  % (16851)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.58  % (16851)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.58  % (16851)Termination reason: Unknown
% 0.20/0.58  % (16851)Termination phase: Property scanning
% 0.20/0.58  
% 0.20/0.58  % (16851)Memory used [KB]: 1791
% 0.20/0.58  % (16851)Time elapsed: 0.005 s
% 0.20/0.58  % (16851)Instructions burned: 9 (million)
% 0.20/0.58  % (16851)------------------------------
% 0.20/0.58  % (16851)------------------------------
% 0.20/0.59  % (16844)Refutation found. Thanks to Tanya!
% 0.20/0.59  % SZS status Unsatisfiable for theBenchmark
% 0.20/0.59  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.59  % (16844)------------------------------
% 0.20/0.59  % (16844)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.59  % (16844)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.59  % (16844)Termination reason: Refutation
% 0.20/0.59  
% 0.20/0.59  % (16844)Memory used [KB]: 6524
% 0.20/0.59  % (16844)Time elapsed: 0.131 s
% 0.20/0.59  % (16844)Instructions burned: 11 (million)
% 0.20/0.59  % (16844)------------------------------
% 0.20/0.59  % (16844)------------------------------
% 0.20/0.59  % (16840)Success in time 0.224 s
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