TSTP Solution File: LCL818-1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : LCL818-1 : 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 : n026.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 17:46:07 EDT 2022

% Result   : Unsatisfiable 1.35s 0.59s
% Output   : Refutation 1.35s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    4
% Syntax   : Number of formulae    :    7 (   5 unt;   0 def)
%            Number of atoms       :   10 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :    8 (   5   ~;   3   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :   13 (  13 usr;  10 con; 0-5 aty)
%            Number of variables   :    6 (   6   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f472,plain,
    $false,
    inference(subsumption_resolution,[],[f471,f373]) ).

fof(f373,axiom,
    c_Type_Otyping(v_e____,c_Lambda_Osubst(v_a____,v_u____,v_i____),v_T_H_H____),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_CHAINED_0) ).

fof(f471,plain,
    ~ c_Type_Otyping(v_e____,c_Lambda_Osubst(v_a____,v_u____,v_i____),v_T_H_H____),
    inference(resolution,[],[f443,f375]) ).

fof(f375,axiom,
    ~ c_Type_Otyping(v_e____,hAPP(hAPP(c_Lambda_OdB_OApp,v_u____),c_Lambda_Osubst(v_a____,v_u____,v_i____)),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).

fof(f443,plain,
    ! [X4] :
      ( c_Type_Otyping(v_e____,hAPP(hAPP(c_Lambda_OdB_OApp,v_u____),X4),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype))
      | ~ c_Type_Otyping(v_e____,X4,v_T_H_H____) ),
    inference(resolution,[],[f329,f374]) ).

fof(f374,axiom,
    c_Type_Otyping(v_e____,v_u____,hAPP(hAPP(c_Type_Otype_OFun,v_T_H_H____),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_CHAINED_0_01) ).

fof(f329,axiom,
    ! [X29,X0,X1,X63,X42] :
      ( ~ c_Type_Otyping(X63,X1,hAPP(hAPP(c_Type_Otype_OFun,X29),X42))
      | ~ c_Type_Otyping(X63,X0,X29)
      | c_Type_Otyping(X63,hAPP(hAPP(c_Lambda_OdB_OApp,X1),X0),X42) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_App_0) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.14  % Problem    : LCL818-1 : TPTP v8.1.0. Released v4.1.0.
% 0.05/0.15  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.15/0.37  % Computer : n026.cluster.edu
% 0.15/0.37  % Model    : x86_64 x86_64
% 0.15/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37  % Memory   : 8042.1875MB
% 0.15/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37  % CPULimit   : 300
% 0.15/0.37  % WCLimit    : 300
% 0.15/0.37  % DateTime   : Tue Aug 30 03:01:05 EDT 2022
% 0.15/0.37  % CPUTime    : 
% 0.22/0.51  % (10737)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)
% 0.22/0.52  % (10728)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)
% 0.22/0.52  % (10737)Instruction limit reached!
% 0.22/0.52  % (10737)------------------------------
% 0.22/0.52  % (10737)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.22/0.53  % (10745)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)
% 0.22/0.53  % (10737)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.22/0.53  % (10737)Termination reason: Unknown
% 0.22/0.53  % (10737)Termination phase: Function definition elimination
% 0.22/0.53  
% 0.22/0.53  % (10737)Memory used [KB]: 1663
% 0.22/0.53  % (10737)Time elapsed: 0.005 s
% 0.22/0.53  % (10737)Instructions burned: 2 (million)
% 0.22/0.53  % (10737)------------------------------
% 0.22/0.53  % (10737)------------------------------
% 1.02/0.55  % (10722)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)
% 1.02/0.55  % (10726)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 1.02/0.56  % (10723)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)
% 1.02/0.56  % (10743)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)
% 1.02/0.56  % (10723)Instruction limit reached!
% 1.02/0.56  % (10723)------------------------------
% 1.02/0.56  % (10723)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.02/0.56  % (10723)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.02/0.56  % (10723)Termination reason: Unknown
% 1.02/0.56  % (10723)Termination phase: Property scanning
% 1.02/0.56  
% 1.02/0.56  % (10723)Memory used [KB]: 1663
% 1.02/0.56  % (10723)Time elapsed: 0.005 s
% 1.02/0.56  % (10723)Instructions burned: 6 (million)
% 1.02/0.56  % (10723)------------------------------
% 1.02/0.56  % (10723)------------------------------
% 1.02/0.56  % (10728)Refutation not found, incomplete strategy% (10728)------------------------------
% 1.02/0.56  % (10728)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.02/0.56  % (10728)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.02/0.56  % (10728)Termination reason: Refutation not found, incomplete strategy
% 1.02/0.56  
% 1.02/0.56  % (10728)Memory used [KB]: 6908
% 1.02/0.56  % (10728)Time elapsed: 0.115 s
% 1.02/0.56  % (10728)Instructions burned: 33 (million)
% 1.02/0.56  % (10728)------------------------------
% 1.02/0.56  % (10728)------------------------------
% 1.35/0.57  % (10724)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)
% 1.35/0.57  % (10735)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)
% 1.35/0.57  % (10738)ott+2_1:64_afp=40000:bd=off:irw=on:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 1.35/0.57  % (10750)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.35/0.57  % (10734)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)
% 1.35/0.57  % (10730)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)
% 1.35/0.57  % (10725)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)
% 1.35/0.57  % (10747)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)
% 1.35/0.58  % (10727)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)
% 1.35/0.58  % (10739)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)
% 1.35/0.58  % (10749)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)
% 1.35/0.58  % (10745)Instruction limit reached!
% 1.35/0.58  % (10745)------------------------------
% 1.35/0.58  % (10745)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.35/0.58  % (10745)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.35/0.58  % (10745)Termination reason: Unknown
% 1.35/0.58  % (10745)Termination phase: Saturation
% 1.35/0.58  
% 1.35/0.58  % (10745)Memory used [KB]: 6780
% 1.35/0.58  % (10745)Time elapsed: 0.139 s
% 1.35/0.58  % (10745)Instructions burned: 46 (million)
% 1.35/0.58  % (10745)------------------------------
% 1.35/0.58  % (10745)------------------------------
% 1.35/0.59  % (10748)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)
% 1.35/0.59  % (10731)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)
% 1.35/0.59  % (10731)Instruction limit reached!
% 1.35/0.59  % (10731)------------------------------
% 1.35/0.59  % (10731)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.35/0.59  % (10731)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.35/0.59  % (10731)Termination reason: Unknown
% 1.35/0.59  % (10731)Termination phase: Property scanning
% 1.35/0.59  
% 1.35/0.59  % (10731)Memory used [KB]: 1663
% 1.35/0.59  % (10731)Time elapsed: 0.004 s
% 1.35/0.59  % (10731)Instructions burned: 7 (million)
% 1.35/0.59  % (10731)------------------------------
% 1.35/0.59  % (10731)------------------------------
% 1.35/0.59  % (10741)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)
% 1.35/0.59  % (10738)Instruction limit reached!
% 1.35/0.59  % (10738)------------------------------
% 1.35/0.59  % (10738)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.35/0.59  % (10738)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.35/0.59  % (10738)Termination reason: Unknown
% 1.35/0.59  % (10738)Termination phase: Saturation
% 1.35/0.59  
% 1.35/0.59  % (10738)Memory used [KB]: 1663
% 1.35/0.59  % (10738)Time elapsed: 0.004 s
% 1.35/0.59  % (10738)Instructions burned: 8 (million)
% 1.35/0.59  % (10738)------------------------------
% 1.35/0.59  % (10738)------------------------------
% 1.35/0.59  % (10724)First to succeed.
% 1.35/0.59  % (10741)Instruction limit reached!
% 1.35/0.59  % (10741)------------------------------
% 1.35/0.59  % (10741)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.35/0.59  % (10741)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.35/0.59  % (10741)Termination reason: Unknown
% 1.35/0.59  % (10741)Termination phase: Function definition elimination
% 1.35/0.59  
% 1.35/0.59  % (10741)Memory used [KB]: 1663
% 1.35/0.59  % (10741)Time elapsed: 0.005 s
% 1.35/0.59  % (10741)Instructions burned: 9 (million)
% 1.35/0.59  % (10741)------------------------------
% 1.35/0.59  % (10741)------------------------------
% 1.35/0.59  % (10721)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 1.35/0.59  % (10724)Refutation found. Thanks to Tanya!
% 1.35/0.59  % SZS status Unsatisfiable for theBenchmark
% 1.35/0.59  % SZS output start Proof for theBenchmark
% See solution above
% 1.35/0.59  % (10724)------------------------------
% 1.35/0.59  % (10724)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.35/0.59  % (10724)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.35/0.59  % (10724)Termination reason: Refutation
% 1.35/0.59  
% 1.35/0.59  % (10724)Memory used [KB]: 6396
% 1.35/0.59  % (10724)Time elapsed: 0.137 s
% 1.35/0.59  % (10724)Instructions burned: 8 (million)
% 1.35/0.59  % (10724)------------------------------
% 1.35/0.59  % (10724)------------------------------
% 1.35/0.59  % (10720)Success in time 0.208 s
%------------------------------------------------------------------------------