TSTP Solution File: LCL822-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : LCL822-1 : 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 : n021.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 17:50:06 EDT 2022

% Result   : Unsatisfiable 1.97s 0.62s
% Output   : Refutation 1.97s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   16 (  13 unt;   0 def)
%            Number of atoms       :   19 (   5 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :    8 (   5   ~;   3   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   2 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :   18 (  18 usr;  13 con; 0-5 aty)
%            Number of variables   :    9 (   9   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f317,plain,
    $false,
    inference(subsumption_resolution,[],[f316,f237]) ).

fof(f237,plain,
    ~ c_List_Olistsp(sF4,v_rs____,tc_Lambda_OdB),
    inference(definition_folding,[],[f211,f236,f235,f234,f233,f232]) ).

fof(f232,plain,
    c_Ex(tc_Type_Otype) = sF0,
    introduced(function_definition,[]) ).

fof(f233,plain,
    c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype) = sF1,
    introduced(function_definition,[]) ).

fof(f234,plain,
    sF2 = c_Type_Otyping(sF1),
    introduced(function_definition,[]) ).

fof(f235,plain,
    tc_fun(tc_Type_Otype,tc_bool) = sF3,
    introduced(function_definition,[]) ).

fof(f236,plain,
    c_COMBB(sF0,sF2,sF3,tc_bool,tc_Lambda_OdB) = sF4,
    introduced(function_definition,[]) ).

fof(f211,axiom,
    ~ c_List_Olistsp(c_COMBB(c_Ex(tc_Type_Otype),c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype)),tc_fun(tc_Type_Otype,tc_bool),tc_bool,tc_Lambda_OdB),v_rs____,tc_Lambda_OdB),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).

fof(f316,plain,
    c_List_Olistsp(sF4,v_rs____,tc_Lambda_OdB),
    inference(forward_demodulation,[],[f315,f236]) ).

fof(f315,plain,
    c_List_Olistsp(c_COMBB(sF0,sF2,sF3,tc_bool,tc_Lambda_OdB),v_rs____,tc_Lambda_OdB),
    inference(forward_demodulation,[],[f314,f234]) ).

fof(f314,plain,
    c_List_Olistsp(c_COMBB(sF0,c_Type_Otyping(sF1),sF3,tc_bool,tc_Lambda_OdB),v_rs____,tc_Lambda_OdB),
    inference(resolution,[],[f242,f240]) ).

fof(f240,plain,
    c_Type_Otypings(sF1,v_rs____,v_Ts____),
    inference(forward_demodulation,[],[f210,f233]) ).

fof(f210,axiom,
    c_Type_Otypings(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),v_rs____,v_Ts____),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_CHAINED_0) ).

fof(f242,plain,
    ! [X28,X36,X25] :
      ( ~ c_Type_Otypings(X25,X28,X36)
      | c_List_Olistsp(c_COMBB(sF0,c_Type_Otyping(X25),sF3,tc_bool,tc_Lambda_OdB),X28,tc_Lambda_OdB) ),
    inference(forward_demodulation,[],[f241,f232]) ).

fof(f241,plain,
    ! [X28,X36,X25] :
      ( c_List_Olistsp(c_COMBB(c_Ex(tc_Type_Otype),c_Type_Otyping(X25),sF3,tc_bool,tc_Lambda_OdB),X28,tc_Lambda_OdB)
      | ~ c_Type_Otypings(X25,X28,X36) ),
    inference(forward_demodulation,[],[f189,f235]) ).

fof(f189,axiom,
    ! [X28,X36,X25] :
      ( c_List_Olistsp(c_COMBB(c_Ex(tc_Type_Otype),c_Type_Otyping(X25),tc_fun(tc_Type_Otype,tc_bool),tc_bool,tc_Lambda_OdB),X28,tc_Lambda_OdB)
      | ~ c_Type_Otypings(X25,X28,X36) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_lists__typings_0) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : LCL822-1 : 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_sat --cores 0 -t %d %s
% 0.13/0.34  % Computer : n021.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
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Tue Aug 30 02:44:40 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.20/0.51  % (24963)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.20/0.51  % (24955)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 (2999ds/75Mi)
% 0.20/0.52  % (24953)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.53  % (24948)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.53  % (24948)Instruction limit reached!
% 0.20/0.53  % (24948)------------------------------
% 0.20/0.53  % (24948)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53  % (24948)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53  % (24948)Termination reason: Unknown
% 0.20/0.53  % (24948)Termination phase: Property scanning
% 0.20/0.53  
% 0.20/0.53  % (24948)Memory used [KB]: 1151
% 0.20/0.53  % (24948)Time elapsed: 0.003 s
% 0.20/0.53  % (24948)Instructions burned: 3 (million)
% 0.20/0.53  % (24948)------------------------------
% 0.20/0.53  % (24948)------------------------------
% 0.20/0.53  % (24942)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 (2999ds/37Mi)
% 0.20/0.54  % (24940)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 (2999ds/191324Mi)
% 0.20/0.55  % (24944)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.55  % (24964)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.20/0.55  % (24941)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.56  % (24945)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.20/0.57  % (24950)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.57  % (24969)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.20/0.58  % (24946)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.58  % (24968)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.20/0.58  % (24965)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.20/0.59  % (24951)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.59  % (24942)Instruction limit reached!
% 0.20/0.59  % (24942)------------------------------
% 0.20/0.59  % (24942)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.59  % (24942)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.59  % (24942)Termination reason: Unknown
% 0.20/0.59  % (24942)Termination phase: Saturation
% 0.20/0.59  
% 0.20/0.59  % (24942)Memory used [KB]: 1663
% 0.20/0.59  % (24942)Time elapsed: 0.143 s
% 0.20/0.59  % (24942)Instructions burned: 37 (million)
% 0.20/0.59  % (24942)------------------------------
% 0.20/0.59  % (24942)------------------------------
% 0.20/0.59  % (24957)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.20/0.59  % (24952)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.20/0.59  % (24943)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.59  % (24958)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.59  % (24967)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 (2999ds/177Mi)
% 0.20/0.59  % (24949)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.60  % (24961)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.20/0.60  % (24962)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 (2999ds/498Mi)
% 0.20/0.60  % (24944)First to succeed.
% 0.20/0.60  % (24959)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.60  % (24954)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.20/0.61  % (24966)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.20/0.61  % (24956)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 (2999ds/99Mi)
% 0.20/0.61  % (24960)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 1.97/0.62  % (24955)Also succeeded, but the first one will report.
% 1.97/0.62  % (24944)Refutation found. Thanks to Tanya!
% 1.97/0.62  % SZS status Unsatisfiable for theBenchmark
% 1.97/0.62  % SZS output start Proof for theBenchmark
% See solution above
% 1.97/0.62  % (24944)------------------------------
% 1.97/0.62  % (24944)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.97/0.62  % (24944)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.97/0.62  % (24944)Termination reason: Refutation
% 1.97/0.62  
% 1.97/0.62  % (24944)Memory used [KB]: 5884
% 1.97/0.62  % (24944)Time elapsed: 0.182 s
% 1.97/0.62  % (24944)Instructions burned: 23 (million)
% 1.97/0.62  % (24944)------------------------------
% 1.97/0.62  % (24944)------------------------------
% 1.97/0.62  % (24939)Success in time 0.269 s
%------------------------------------------------------------------------------