TSTP Solution File: SCT002-1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SCT002-1 : 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 : n020.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 18:16:14 EDT 2022

% Result   : Unsatisfiable 1.96s 0.67s
% Output   : Refutation 1.96s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    5
% Syntax   : Number of formulae    :    7 (   6 unt;   0 def)
%            Number of atoms       :   10 (   0 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :    8 (   5   ~;   3   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   4 con; 0-4 aty)
%            Number of variables   :    6 (   6   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f697,plain,
    $false,
    inference(subsumption_resolution,[],[f696,f654]) ).

fof(f654,axiom,
    hBOOL(c_in(c_Pair(v_x,v_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_4) ).

fof(f696,plain,
    ~ hBOOL(c_in(c_Pair(v_x,v_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))),
    inference(unit_resulting_resolution,[],[f651,f652,f653,f646]) ).

fof(f646,axiom,
    ! [X2,X6,X5,X12,X13] :
      ( ~ hBOOL(c_in(c_Pair(X12,X13,X2,X2),X6,tc_prod(X2,X2)))
      | hBOOL(c_in(c_Pair(X5,X13,X2,X2),X6,tc_prod(X2,X2)))
      | ~ hBOOL(c_in(c_Pair(X5,X12,X2,X2),X6,tc_prod(X2,X2)))
      | ~ c_Relation_Otrans(X6,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_trans__def_0) ).

fof(f653,axiom,
    hBOOL(c_in(c_Pair(v_y,v_x,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).

fof(f652,axiom,
    ! [X5] : ~ hBOOL(c_in(c_Pair(X5,X5,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).

fof(f651,axiom,
    c_Relation_Otrans(v_L,tc_Arrow__Order__Mirabelle_Oalt),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SCT002-1 : 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_uns --cores 0 -t %d %s
% 0.13/0.35  % Computer : n020.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Tue Aug 30 12:24:15 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 1.26/0.59  % (8415)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)
% 1.26/0.60  % (8422)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)
% 1.26/0.60  % (8431)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)
% 1.26/0.60  % (8414)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)
% 1.26/0.61  % (8430)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)
% 1.26/0.61  % (8423)fmb+10_1:1_fmbes=contour:fmbsr=2.0:fmbsso=input_usage:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 1.26/0.62  % (8423)Instruction limit reached!
% 1.26/0.62  % (8423)------------------------------
% 1.26/0.62  % (8423)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.26/0.64  % (8423)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.26/0.64  % (8423)Termination reason: Unknown
% 1.26/0.64  % (8423)Termination phase: Property scanning
% 1.26/0.64  
% 1.26/0.64  % (8423)Memory used [KB]: 1918
% 1.26/0.64  % (8423)Time elapsed: 0.008 s
% 1.26/0.64  % (8423)Instructions burned: 7 (million)
% 1.26/0.64  % (8423)------------------------------
% 1.26/0.64  % (8423)------------------------------
% 1.26/0.64  % (8411)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)
% 1.26/0.65  % (8416)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)
% 1.26/0.65  % (8410)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)
% 1.26/0.66  % (8412)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)
% 1.26/0.66  % (8437)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)
% 1.26/0.66  % (8433)lrs+1010_1:16_acc=on:anc=all:avsq=on:awrs=converge:s2a=on:sac=on:sos=on:ss=axioms:i=81:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/81Mi)
% 1.26/0.66  % (8422)Instruction limit reached!
% 1.26/0.66  % (8422)------------------------------
% 1.26/0.66  % (8422)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.26/0.66  % (8426)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)
% 1.26/0.66  % (8413)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 1.26/0.66  % (8412)First to succeed.
% 1.26/0.67  % (8419)dis+4_1:1_bd=off:cond=fast:fde=unused:lcm=reverse:lma=on:nicw=on:nwc=2.0:s2a=on:s2agt=16:sac=on:sp=frequency:i=23:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/23Mi)
% 1.26/0.67  % (8422)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.26/0.67  % (8422)Termination reason: Unknown
% 1.26/0.67  % (8422)Termination phase: Blocked clause elimination
% 1.26/0.67  
% 1.26/0.67  % (8422)Memory used [KB]: 2174
% 1.26/0.67  % (8422)Time elapsed: 0.021 s
% 1.26/0.67  % (8422)Instructions burned: 29 (million)
% 1.26/0.67  % (8422)------------------------------
% 1.26/0.67  % (8422)------------------------------
% 1.26/0.67  % (8434)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)
% 1.26/0.67  % (8425)ott+2_1:64_afp=40000:bd=off:irw=on:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 1.26/0.67  % (8428)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)
% 1.96/0.67  % (8411)Also succeeded, but the first one will report.
% 1.96/0.67  % (8429)lrs+1010_1:1_bd=off:fsr=off:sd=1:sos=on:ss=axioms:i=67:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/67Mi)
% 1.96/0.67  % (8425)Instruction limit reached!
% 1.96/0.67  % (8425)------------------------------
% 1.96/0.67  % (8425)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.96/0.67  % (8425)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.96/0.67  % (8425)Termination reason: Unknown
% 1.96/0.67  % (8425)Termination phase: Property scanning
% 1.96/0.67  
% 1.96/0.67  % (8425)Memory used [KB]: 1918
% 1.96/0.67  % (8425)Time elapsed: 0.008 s
% 1.96/0.67  % (8425)Instructions burned: 8 (million)
% 1.96/0.67  % (8425)------------------------------
% 1.96/0.67  % (8425)------------------------------
% 1.96/0.67  % (8412)Refutation found. Thanks to Tanya!
% 1.96/0.67  % SZS status Unsatisfiable for theBenchmark
% 1.96/0.67  % SZS output start Proof for theBenchmark
% See solution above
% 1.96/0.67  % (8412)------------------------------
% 1.96/0.67  % (8412)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.96/0.67  % (8412)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.96/0.67  % (8412)Termination reason: Refutation
% 1.96/0.67  
% 1.96/0.67  % (8412)Memory used [KB]: 6524
% 1.96/0.67  % (8412)Time elapsed: 0.169 s
% 1.96/0.67  % (8412)Instructions burned: 6 (million)
% 1.96/0.67  % (8412)------------------------------
% 1.96/0.67  % (8412)------------------------------
% 1.96/0.67  % (8406)Success in time 0.31 s
%------------------------------------------------------------------------------