TSTP Solution File: COL114-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : COL114-1 : TPTP v8.1.0. Released v3.2.0.
% 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 : n002.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 15:52:55 EDT 2022

% Result   : Unsatisfiable 0.50s 0.77s
% Output   : Refutation 0.50s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   25 (  17 unt;   0 def)
%            Number of atoms       :   33 (   7 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   17 (   9   ~;   6   |;   0   &)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   3 prp; 0-3 aty)
%            Number of functors    :   15 (  15 usr;  10 con; 0-4 aty)
%            Number of variables   :    9 (   9   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2103,plain,
    $false,
    inference(avatar_sat_refutation,[],[f1845,f2100,f2102]) ).

fof(f2102,plain,
    spl7_4,
    inference(avatar_contradiction_clause,[],[f2101]) ).

fof(f2101,plain,
    ( $false
    | spl7_4 ),
    inference(resolution,[],[f1844,f1414]) ).

fof(f1414,plain,
    c_in(sF5,c_Comb_Oparcontract,sF3),
    inference(definition_folding,[],[f1405,f1410,f1413]) ).

fof(f1413,plain,
    c_Pair(v_x,v_x_H,tc_Comb_Ocomb,tc_Comb_Ocomb) = sF5,
    introduced(function_definition,[]) ).

fof(f1410,plain,
    tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb) = sF3,
    introduced(function_definition,[]) ).

fof(f1405,axiom,
    c_in(c_Pair(v_x,v_x_H,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).

fof(f1844,plain,
    ( ~ c_in(sF5,c_Comb_Oparcontract,sF3)
    | spl7_4 ),
    inference(avatar_component_clause,[],[f1842]) ).

fof(f1842,plain,
    ( spl7_4
  <=> c_in(sF5,c_Comb_Oparcontract,sF3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl7_4])]) ).

fof(f2100,plain,
    spl7_3,
    inference(avatar_split_clause,[],[f2099,f1838]) ).

fof(f1838,plain,
    ( spl7_3
  <=> c_in(sF2(v_x_H),c_Comb_Oparcontract,sF3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl7_3])]) ).

fof(f2099,plain,
    c_in(sF2(v_x_H),c_Comb_Oparcontract,sF3),
    inference(forward_demodulation,[],[f2098,f1409]) ).

fof(f1409,plain,
    ! [X47] : sF2(X47) = c_Pair(sF1,X47,tc_Comb_Ocomb,tc_Comb_Ocomb),
    introduced(function_definition,[]) ).

fof(f2098,plain,
    c_in(c_Pair(sF1,v_x_H,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,sF3),
    inference(superposition,[],[f2097,f1408]) ).

fof(f1408,plain,
    sF1 = c_Comb_Ocomb_Oop_A_D_D(sF0,v_w),
    introduced(function_definition,[]) ).

fof(f2097,plain,
    ! [X0] : c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(sF0,X0),v_x_H,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,sF3),
    inference(superposition,[],[f1424,f1407]) ).

fof(f1407,plain,
    c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,v_x_H) = sF0,
    introduced(function_definition,[]) ).

fof(f1424,plain,
    ! [X3,X4] : c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,X3),X4),X3,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,sF3),
    inference(forward_demodulation,[],[f19,f1410]) ).

fof(f19,axiom,
    ! [X3,X4] : c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,X3),X4),X3,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Comb_Oparcontract_Ointros__2_0) ).

fof(f1845,plain,
    ( ~ spl7_3
    | ~ spl7_4 ),
    inference(avatar_split_clause,[],[f1836,f1842,f1838]) ).

fof(f1836,plain,
    ( ~ c_in(sF5,c_Comb_Oparcontract,sF3)
    | ~ c_in(sF2(v_x_H),c_Comb_Oparcontract,sF3) ),
    inference(superposition,[],[f1412,f1817]) ).

fof(f1817,plain,
    sF4(v_x_H) = sF5,
    inference(superposition,[],[f1413,f1411]) ).

fof(f1411,plain,
    ! [X47] : c_Pair(v_x,X47,tc_Comb_Ocomb,tc_Comb_Ocomb) = sF4(X47),
    introduced(function_definition,[]) ).

fof(f1412,plain,
    ! [X47] :
      ( ~ c_in(sF4(X47),c_Comb_Oparcontract,sF3)
      | ~ c_in(sF2(X47),c_Comb_Oparcontract,sF3) ),
    inference(definition_folding,[],[f1406,f1410,f1411,f1410,f1409,f1408,f1407]) ).

fof(f1406,axiom,
    ! [X47] :
      ( ~ c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,v_x_H),v_w),X47,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))
      | ~ c_in(c_Pair(v_x,X47,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : COL114-1 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.13  % 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 : n002.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   : Mon Aug 29 17:06:58 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 0.21/0.37  ipcrm: permission denied for id (634486785)
% 0.21/0.37  ipcrm: permission denied for id (634519557)
% 0.21/0.38  ipcrm: permission denied for id (634552328)
% 0.21/0.39  ipcrm: permission denied for id (634585105)
% 0.21/0.41  ipcrm: permission denied for id (634650654)
% 0.21/0.44  ipcrm: permission denied for id (634683447)
% 0.21/0.45  ipcrm: permission denied for id (634716221)
% 0.21/0.45  ipcrm: permission denied for id (634748998)
% 0.21/0.46  ipcrm: permission denied for id (634781772)
% 0.21/0.47  ipcrm: permission denied for id (634814548)
% 0.21/0.47  ipcrm: permission denied for id (634847320)
% 0.21/0.48  ipcrm: permission denied for id (634880097)
% 0.21/0.50  ipcrm: permission denied for id (634978430)
% 0.40/0.67  % (3654)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/100Mi)
% 0.40/0.68  % (3648)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 (2998ds/48Mi)
% 0.40/0.68  % (3642)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 (2998ds/191324Mi)
% 0.40/0.69  % (3647)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/51Mi)
% 0.40/0.69  % (3656)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/99Mi)
% 0.40/0.69  % (3650)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/7Mi)
% 0.40/0.69  % (3653)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/50Mi)
% 0.40/0.69  % (3664)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/138Mi)
% 0.40/0.70  % (3650)Instruction limit reached!
% 0.40/0.70  % (3650)------------------------------
% 0.40/0.70  % (3650)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.40/0.70  % (3644)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/50Mi)
% 0.40/0.70  % (3671)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/439Mi)
% 0.40/0.70  % (3669)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 (2998ds/68Mi)
% 0.40/0.70  % (3650)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.40/0.70  % (3650)Termination reason: Unknown
% 0.40/0.70  % (3650)Termination phase: Saturation
% 0.40/0.70  
% 0.40/0.70  % (3650)Memory used [KB]: 6652
% 0.40/0.70  % (3650)Time elapsed: 0.005 s
% 0.40/0.70  % (3650)Instructions burned: 7 (million)
% 0.40/0.70  % (3650)------------------------------
% 0.40/0.70  % (3650)------------------------------
% 0.40/0.71  % (3649)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/51Mi)
% 0.40/0.71  % (3663)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 (2998ds/176Mi)
% 0.40/0.71  % (3668)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/500Mi)
% 0.40/0.71  % (3661)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/100Mi)
% 0.40/0.71  % (3665)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 (2998ds/498Mi)
% 0.40/0.71  % (3660)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/59Mi)
% 0.40/0.71  % (3651)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/2Mi)
% 0.40/0.72  % (3651)Instruction limit reached!
% 0.40/0.72  % (3651)------------------------------
% 0.40/0.72  % (3651)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.40/0.72  % (3651)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.40/0.72  % (3651)Termination reason: Unknown
% 0.40/0.72  % (3651)Termination phase: Unused predicate definition removal
% 0.40/0.72  
% 0.40/0.72  % (3651)Memory used [KB]: 1918
% 0.40/0.72  % (3651)Time elapsed: 0.003 s
% 0.40/0.72  % (3651)Instructions burned: 2 (million)
% 0.40/0.72  % (3651)------------------------------
% 0.40/0.72  % (3651)------------------------------
% 0.40/0.72  % (3657)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 (2998ds/68Mi)
% 0.40/0.72  % (3672)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 (2998ds/355Mi)
% 0.40/0.72  % (3655)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/101Mi)
% 0.40/0.72  % (3645)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 (2998ds/37Mi)
% 0.40/0.72  % (3652)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 (2998ds/51Mi)
% 0.40/0.73  % (3670)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 (2998ds/177Mi)
% 0.50/0.73  % (3667)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/482Mi)
% 0.50/0.73  % (3666)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 (2998ds/467Mi)
% 0.50/0.73  % (3646)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/51Mi)
% 0.50/0.74  % (3659)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 (2998ds/99Mi)
% 0.50/0.74  % (3662)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 (2998ds/100Mi)
% 0.50/0.74  % (3658)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 (2998ds/75Mi)
% 0.50/0.75  % (3654)First to succeed.
% 0.50/0.77  % (3648)Instruction limit reached!
% 0.50/0.77  % (3648)------------------------------
% 0.50/0.77  % (3648)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.50/0.77  % (3648)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.50/0.77  % (3648)Termination reason: Unknown
% 0.50/0.77  % (3648)Termination phase: Saturation
% 0.50/0.77  
% 0.50/0.77  % (3648)Memory used [KB]: 7036
% 0.50/0.77  % (3648)Time elapsed: 0.189 s
% 0.50/0.77  % (3648)Instructions burned: 49 (million)
% 0.50/0.77  % (3648)------------------------------
% 0.50/0.77  % (3648)------------------------------
% 0.50/0.77  % (3654)Refutation found. Thanks to Tanya!
% 0.50/0.77  % SZS status Unsatisfiable for theBenchmark
% 0.50/0.77  % SZS output start Proof for theBenchmark
% See solution above
% 0.50/0.77  % (3654)------------------------------
% 0.50/0.77  % (3654)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.50/0.77  % (3654)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.50/0.77  % (3654)Termination reason: Refutation
% 0.50/0.77  
% 0.50/0.77  % (3654)Memory used [KB]: 7036
% 0.50/0.77  % (3654)Time elapsed: 0.181 s
% 0.50/0.77  % (3654)Instructions burned: 44 (million)
% 0.50/0.77  % (3654)------------------------------
% 0.50/0.77  % (3654)------------------------------
% 0.50/0.77  % (3505)Success in time 0.412 s
%------------------------------------------------------------------------------