TSTP Solution File: LCL858-1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : LCL858-1 : 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 : n016.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 17:46:17 EDT 2022

% Result   : Unsatisfiable 1.59s 0.62s
% Output   : Refutation 1.59s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   12 (   9 unt;   0 def)
%            Number of atoms       :   15 (   3 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :    8 (   5   ~;   3   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   7 con; 0-3 aty)
%            Number of variables   :    3 (   3   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f268,plain,
    $false,
    inference(subsumption_resolution,[],[f267,f238]) ).

fof(f238,plain,
    ~ hBOOL(sF2),
    inference(definition_folding,[],[f190,f237,f236,f235]) ).

fof(f235,plain,
    c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB) = sF0,
    introduced(function_definition,[]) ).

fof(f236,plain,
    sF1 = c_Wellfounded_Oaccp(sF0,tc_Lambda_OdB),
    introduced(function_definition,[]) ).

fof(f237,plain,
    sF2 = hAPP(sF1,v_t),
    introduced(function_definition,[]) ).

fof(f190,axiom,
    ~ hBOOL(hAPP(c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB),v_t)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).

fof(f267,plain,
    hBOOL(sF2),
    inference(forward_demodulation,[],[f265,f237]) ).

fof(f265,plain,
    hBOOL(hAPP(sF1,v_t)),
    inference(resolution,[],[f246,f189]) ).

fof(f189,axiom,
    hBOOL(hAPP(c_InductTermi_OIT,v_t)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_CHAINED_0) ).

fof(f246,plain,
    ! [X13] :
      ( ~ hBOOL(hAPP(c_InductTermi_OIT,X13))
      | hBOOL(hAPP(sF1,X13)) ),
    inference(forward_demodulation,[],[f243,f236]) ).

fof(f243,plain,
    ! [X13] :
      ( ~ hBOOL(hAPP(c_InductTermi_OIT,X13))
      | hBOOL(hAPP(c_Wellfounded_Oaccp(sF0,tc_Lambda_OdB),X13)) ),
    inference(backward_demodulation,[],[f158,f235]) ).

fof(f158,axiom,
    ! [X13] :
      ( ~ hBOOL(hAPP(c_InductTermi_OIT,X13))
      | hBOOL(hAPP(c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB),X13)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_IT__implies__termi_0) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : LCL858-1 : TPTP v8.1.0. Released v4.1.0.
% 0.03/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.34  % Computer : n016.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit   : 300
% 0.12/0.34  % WCLimit    : 300
% 0.12/0.34  % DateTime   : Tue Aug 30 03:14:30 EDT 2022
% 0.12/0.34  % CPUTime    : 
% 1.59/0.57  % (23072)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)
% 1.59/0.57  % (23072)Instruction limit reached!
% 1.59/0.57  % (23072)------------------------------
% 1.59/0.57  % (23072)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.59/0.57  % (23072)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.59/0.57  % (23072)Termination reason: Unknown
% 1.59/0.57  % (23072)Termination phase: Property scanning
% 1.59/0.57  
% 1.59/0.57  % (23072)Memory used [KB]: 1535
% 1.59/0.57  % (23072)Time elapsed: 0.005 s
% 1.59/0.57  % (23072)Instructions burned: 4 (million)
% 1.59/0.57  % (23072)------------------------------
% 1.59/0.57  % (23072)------------------------------
% 1.59/0.58  % (23092)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)
% 1.59/0.58  % (23084)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)
% 1.59/0.58  % (23078)lrs+1011_1:1_atotf=0.0306256:ep=RST:mep=off:nm=0:sos=all:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.59/0.58  % (23078)Instruction limit reached!
% 1.59/0.58  % (23078)------------------------------
% 1.59/0.58  % (23078)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.59/0.58  % (23070)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 1.59/0.59  % (23078)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.59/0.59  % (23078)Termination reason: Unknown
% 1.59/0.59  % (23078)Termination phase: Property scanning
% 1.59/0.59  
% 1.59/0.59  % (23078)Memory used [KB]: 1535
% 1.59/0.59  % (23078)Time elapsed: 0.004 s
% 1.59/0.59  % (23078)Instructions burned: 4 (million)
% 1.59/0.59  % (23078)------------------------------
% 1.59/0.59  % (23078)------------------------------
% 1.59/0.60  % (23086)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)
% 1.59/0.60  % (23086)Instruction limit reached!
% 1.59/0.60  % (23086)------------------------------
% 1.59/0.60  % (23086)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.59/0.60  % (23086)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.59/0.60  % (23086)Termination reason: Unknown
% 1.59/0.60  % (23086)Termination phase: Function definition elimination
% 1.59/0.60  
% 1.59/0.60  % (23086)Memory used [KB]: 1535
% 1.59/0.60  % (23086)Time elapsed: 0.004 s
% 1.59/0.60  % (23086)Instructions burned: 3 (million)
% 1.59/0.60  % (23086)------------------------------
% 1.59/0.60  % (23086)------------------------------
% 1.59/0.60  % (23076)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)
% 1.59/0.60  % (23080)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)
% 1.59/0.60  % (23079)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)
% 1.59/0.61  % (23070)First to succeed.
% 1.59/0.61  % (23075)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 1.59/0.61  % (23093)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)
% 1.59/0.62  % (23070)Refutation found. Thanks to Tanya!
% 1.59/0.62  % SZS status Unsatisfiable for theBenchmark
% 1.59/0.62  % SZS output start Proof for theBenchmark
% See solution above
% 1.59/0.62  % (23070)------------------------------
% 1.59/0.62  % (23070)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.59/0.62  % (23070)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.59/0.62  % (23070)Termination reason: Refutation
% 1.59/0.62  
% 1.59/0.62  % (23070)Memory used [KB]: 6268
% 1.59/0.62  % (23070)Time elapsed: 0.179 s
% 1.59/0.62  % (23070)Instructions burned: 20 (million)
% 1.59/0.62  % (23070)------------------------------
% 1.59/0.62  % (23070)------------------------------
% 1.59/0.62  % (23069)Success in time 0.265 s
%------------------------------------------------------------------------------