TSTP Solution File: LCL828-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : LCL828-1 : 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 17:50:07 EDT 2022

% Result   : Unsatisfiable 0.19s 0.53s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   17 (  10 unt;   3 typ;   0 def)
%            Number of atoms       :   23 (   0 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   21 (  12   ~;   9   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of types       :    4 (   0 usr;   3 ari)
%            Number of type conns  :    6 (   3   >;   3   *;   0   +;   0  <<)
%            Number of predicates  :    6 (   5 usr;   1 prp; 0-3 aty)
%            Number of functors    :    9 (   9 usr;   7 con; 0-4 aty)
%            Number of variables   :    9 (   9   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
tff(pred_def_13,type,
    sQ1_eqProxy: ( $int * $int ) > $o ).

tff(pred_def_14,type,
    sQ2_eqProxy: ( $rat * $rat ) > $o ).

tff(pred_def_15,type,
    sQ3_eqProxy: ( $real * $real ) > $o ).

fof(f351,plain,
    $false,
    inference(subsumption_resolution,[],[f350,f100]) ).

fof(f100,plain,
    c_InductTermi_OIT(v_u____),
    inference(literal_reordering,[],[f67]) ).

fof(f67,axiom,
    c_InductTermi_OIT(v_u____),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_CHAINED_0_02) ).

fof(f350,plain,
    ~ c_InductTermi_OIT(v_u____),
    inference(subsumption_resolution,[],[f349,f149]) ).

fof(f149,plain,
    ~ c_InductTermi_OIT(c_Lambda_Osubst(v_a____,v_u____,v_i____)),
    inference(literal_reordering,[],[f69]) ).

fof(f69,axiom,
    ~ c_InductTermi_OIT(c_Lambda_Osubst(v_a____,v_u____,v_i____)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).

fof(f349,plain,
    ( c_InductTermi_OIT(c_Lambda_Osubst(v_a____,v_u____,v_i____))
    | ~ c_InductTermi_OIT(v_u____) ),
    inference(resolution,[],[f340,f81]) ).

fof(f81,plain,
    c_Type_Otyping(v_e____,v_u____,v_T____),
    inference(literal_reordering,[],[f68]) ).

fof(f68,axiom,
    c_Type_Otyping(v_e____,v_u____,v_T____),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_CHAINED_0_03) ).

fof(f340,plain,
    ! [X0] :
      ( ~ c_Type_Otyping(v_e____,X0,v_T____)
      | c_InductTermi_OIT(c_Lambda_Osubst(v_a____,X0,v_i____))
      | ~ c_InductTermi_OIT(X0) ),
    inference(resolution,[],[f95,f94]) ).

fof(f94,plain,
    c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),v_a____,v_Ua____),
    inference(literal_reordering,[],[f65]) ).

fof(f65,axiom,
    c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),v_a____,v_Ua____),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_CHAINED_0) ).

fof(f95,plain,
    ! [X26,X24,X25,X23] :
      ( ~ c_Type_Otyping(c_Type_Oshift(X25,X24,v_T____,tc_Type_Otype),v_a____,X26)
      | c_InductTermi_OIT(c_Lambda_Osubst(v_a____,X23,X24))
      | ~ c_InductTermi_OIT(X23)
      | ~ c_Type_Otyping(X25,X23,v_T____) ),
    inference(literal_reordering,[],[f66]) ).

fof(f66,axiom,
    ! [X26,X24,X25,X23] :
      ( ~ c_Type_Otyping(c_Type_Oshift(X25,X24,v_T____,tc_Type_Otype),v_a____,X26)
      | ~ c_InductTermi_OIT(X23)
      | ~ c_Type_Otyping(X25,X23,v_T____)
      | c_InductTermi_OIT(c_Lambda_Osubst(v_a____,X23,X24)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_CHAINED_0_01) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem    : LCL828-1 : TPTP v8.1.0. Released v4.1.0.
% 0.10/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.33  % Computer : n021.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit   : 300
% 0.12/0.33  % WCLimit    : 300
% 0.12/0.33  % DateTime   : Tue Aug 30 02:45:25 EDT 2022
% 0.12/0.34  % CPUTime    : 
% 0.19/0.51  % (27918)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)
% 0.19/0.51  % (27910)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)
% 0.19/0.51  % (27908)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.19/0.51  % (27902)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  % (27924)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  TRYING [1]
% 0.19/0.52  % (27900)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  TRYING [2]
% 0.19/0.52  % (27916)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  % (27907)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)
% 0.19/0.53  % (27904)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.53  % (27903)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  % (27904)Instruction limit reached!
% 0.19/0.53  % (27904)------------------------------
% 0.19/0.53  % (27904)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53  % (27904)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53  % (27904)Termination reason: Unknown
% 0.19/0.53  % (27904)Termination phase: Blocked clause elimination
% 0.19/0.53  
% 0.19/0.53  % (27904)Memory used [KB]: 1023
% 0.19/0.53  % (27904)Time elapsed: 0.002 s
% 0.19/0.53  % (27904)Instructions burned: 2 (million)
% 0.19/0.53  % (27904)------------------------------
% 0.19/0.53  % (27904)------------------------------
% 0.19/0.53  % (27910)First to succeed.
% 0.19/0.53  % (27905)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)
% 0.19/0.53  % (27901)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)
% 0.19/0.53  % (27906)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.53  % (27918)Also succeeded, but the first one will report.
% 0.19/0.53  % (27910)Refutation found. Thanks to Tanya!
% 0.19/0.53  % SZS status Unsatisfiable for theBenchmark
% 0.19/0.53  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.53  % (27910)------------------------------
% 0.19/0.53  % (27910)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53  % (27910)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53  % (27910)Termination reason: Refutation
% 0.19/0.53  
% 0.19/0.53  % (27910)Memory used [KB]: 6012
% 0.19/0.53  % (27910)Time elapsed: 0.015 s
% 0.19/0.53  % (27910)Instructions burned: 12 (million)
% 0.19/0.53  % (27910)------------------------------
% 0.19/0.53  % (27910)------------------------------
% 0.19/0.53  % (27895)Success in time 0.185 s
%------------------------------------------------------------------------------