TSTP Solution File: LCL808-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : LCL808-1 : 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 : n015.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 17:50:03 EDT 2022

% Result   : Unsatisfiable 0.19s 0.54s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   13 (   7 unt;   0 def)
%            Number of atoms       :   24 (   0 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   24 (  13   ~;  10   |;   0   &)
%                                         (   1 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-3 aty)
%            Number of functors    :    9 (   9 usr;   7 con; 0-4 aty)
%            Number of variables   :   16 (  16   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f252,plain,
    $false,
    inference(subsumption_resolution,[],[f251,f69]) ).

fof(f69,axiom,
    ~ c_InductTermi_OIT(c_Lambda_Osubst(v_b____,v_u____,v_i____)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).

fof(f251,plain,
    c_InductTermi_OIT(c_Lambda_Osubst(v_b____,v_u____,v_i____)),
    inference(resolution,[],[f240,f123]) ).

fof(f123,plain,
    sP0(v_i____,v_e____),
    inference(resolution,[],[f76,f65]) ).

fof(f65,axiom,
    c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),v_b____,v_Ua____),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_CHAINED_0) ).

fof(f76,plain,
    ! [X26,X24,X25] :
      ( ~ c_Type_Otyping(c_Type_Oshift(X25,X24,v_T____,tc_Type_Otype),v_b____,X26)
      | sP0(X24,X25) ),
    inference(cnf_transformation,[],[f76_D]) ).

fof(f76_D,plain,
    ! [X25,X24] :
      ( ! [X26] : ~ c_Type_Otyping(c_Type_Oshift(X25,X24,v_T____,tc_Type_Otype),v_b____,X26)
    <=> ~ sP0(X24,X25) ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP0])]) ).

fof(f240,plain,
    ! [X0] :
      ( ~ sP0(X0,v_e____)
      | c_InductTermi_OIT(c_Lambda_Osubst(v_b____,v_u____,X0)) ),
    inference(resolution,[],[f182,f68]) ).

fof(f68,axiom,
    c_Type_Otyping(v_e____,v_u____,v_T____),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_CHAINED_0_03) ).

fof(f182,plain,
    ! [X21,X22] :
      ( ~ c_Type_Otyping(X21,v_u____,v_T____)
      | ~ sP0(X22,X21)
      | c_InductTermi_OIT(c_Lambda_Osubst(v_b____,v_u____,X22)) ),
    inference(resolution,[],[f77,f67]) ).

fof(f67,axiom,
    c_InductTermi_OIT(v_u____),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_CHAINED_0_02) ).

fof(f77,plain,
    ! [X24,X25,X23] :
      ( ~ c_InductTermi_OIT(X23)
      | ~ c_Type_Otyping(X25,X23,v_T____)
      | c_InductTermi_OIT(c_Lambda_Osubst(v_b____,X23,X24))
      | ~ sP0(X24,X25) ),
    inference(general_splitting,[],[f66,f76_D]) ).

fof(f66,axiom,
    ! [X26,X24,X25,X23] :
      ( ~ c_Type_Otyping(X25,X23,v_T____)
      | ~ c_InductTermi_OIT(X23)
      | c_InductTermi_OIT(c_Lambda_Osubst(v_b____,X23,X24))
      | ~ c_Type_Otyping(c_Type_Oshift(X25,X24,v_T____,tc_Type_Otype),v_b____,X26) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_CHAINED_0_01) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : LCL808-1 : TPTP v8.1.0. Released v4.1.0.
% 0.03/0.12  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.34  % Computer : n015.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 04:01:05 EDT 2022
% 0.12/0.34  % CPUTime    : 
% 0.19/0.48  % (32685)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)
% 0.19/0.50  % (32683)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)
% 0.19/0.51  % (32698)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)
% 0.19/0.51  % (32706)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)
% 0.19/0.51  % (32691)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)
% 0.19/0.51  % (32687)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)
% 0.19/0.51  % (32693)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)
% 0.19/0.52  % (32704)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.19/0.52  % (32688)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)
% 0.19/0.52  % (32686)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.52  % (32711)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.19/0.52  % (32684)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)
% 0.19/0.52  % (32689)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.53  % (32703)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)
% 0.19/0.53  % (32712)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)
% 0.19/0.53  % (32704)First to succeed.
% 0.19/0.53  % (32694)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.19/0.53  % (32708)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.19/0.53  % (32709)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)
% 0.19/0.53  % (32705)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)
% 0.19/0.53  % (32702)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)
% 0.19/0.53  % (32701)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.53  % (32710)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)
% 0.19/0.53  TRYING [1]
% 0.19/0.53  % (32699)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)
% 0.19/0.53  % (32682)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)
% 0.19/0.54  TRYING [2]
% 0.19/0.54  % (32689)Instruction limit reached!
% 0.19/0.54  % (32689)------------------------------
% 0.19/0.54  % (32689)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54  % (32689)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54  % (32689)Termination reason: Unknown
% 0.19/0.54  % (32689)Termination phase: Saturation
% 0.19/0.54  
% 0.19/0.54  % (32689)Memory used [KB]: 5628
% 0.19/0.54  % (32689)Time elapsed: 0.089 s
% 0.19/0.54  % (32689)Instructions burned: 8 (million)
% 0.19/0.54  % (32689)------------------------------
% 0.19/0.54  % (32689)------------------------------
% 0.19/0.54  % (32697)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)
% 0.19/0.54  % (32700)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.19/0.54  TRYING [1]
% 0.19/0.54  TRYING [1]
% 0.19/0.54  TRYING [2]
% 0.19/0.54  % (32692)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.54  % (32695)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.54  % (32690)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.54  % (32704)Refutation found. Thanks to Tanya!
% 0.19/0.54  % SZS status Unsatisfiable for theBenchmark
% 0.19/0.54  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.54  % (32704)------------------------------
% 0.19/0.54  % (32704)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54  % (32704)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54  % (32704)Termination reason: Refutation
% 0.19/0.54  
% 0.19/0.54  % (32704)Memory used [KB]: 5756
% 0.19/0.54  % (32704)Time elapsed: 0.139 s
% 0.19/0.54  % (32704)Instructions burned: 14 (million)
% 0.19/0.54  % (32704)------------------------------
% 0.19/0.54  % (32704)------------------------------
% 0.19/0.54  % (32678)Success in time 0.195 s
%------------------------------------------------------------------------------