TSTP Solution File: LCL076-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : LCL076-1 : TPTP v8.1.0. Released v1.0.0.
% 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 : n029.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 17:46:46 EDT 2022

% Result   : Unsatisfiable 1.56s 0.57s
% Output   : Refutation 1.56s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   31 (  10 unt;   0 def)
%            Number of atoms       :   59 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   57 (  29   ~;  27   |;   0   &)
%                                         (   1 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    3 (   2 usr;   2 prp; 0-1 aty)
%            Number of functors    :    3 (   3 usr;   1 con; 0-2 aty)
%            Number of variables   :   55 (  55   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f843,plain,
    $false,
    inference(avatar_sat_refutation,[],[f42,f842]) ).

fof(f842,plain,
    ~ spl0_3,
    inference(avatar_contradiction_clause,[],[f841]) ).

fof(f841,plain,
    ( $false
    | ~ spl0_3 ),
    inference(resolution,[],[f804,f5]) ).

fof(f5,axiom,
    ~ is_a_theorem(implies(a,not(not(a)))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_cn_40) ).

fof(f804,plain,
    ( ! [X5] : is_a_theorem(implies(X5,not(not(X5))))
    | ~ spl0_3 ),
    inference(resolution,[],[f793,f9]) ).

fof(f9,plain,
    ! [X0,X1] :
      ( ~ is_a_theorem(implies(not(X0),not(X1)))
      | is_a_theorem(implies(X1,X0)) ),
    inference(resolution,[],[f4,f1]) ).

fof(f1,axiom,
    ! [X0,X1] :
      ( ~ is_a_theorem(implies(X0,X1))
      | ~ is_a_theorem(X0)
      | is_a_theorem(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment) ).

fof(f4,axiom,
    ! [X0,X1] : is_a_theorem(implies(implies(not(X0),not(X1)),implies(X1,X0))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cn_49) ).

fof(f793,plain,
    ( ! [X27] : is_a_theorem(implies(not(not(X27)),X27))
    | ~ spl0_3 ),
    inference(resolution,[],[f368,f486]) ).

fof(f486,plain,
    ! [X3,X4] : is_a_theorem(implies(not(not(X3)),implies(X4,X3))),
    inference(resolution,[],[f465,f51]) ).

fof(f51,plain,
    ! [X11,X12,X13] :
      ( ~ is_a_theorem(implies(X11,implies(not(X13),not(X12))))
      | is_a_theorem(implies(X11,implies(X12,X13))) ),
    inference(resolution,[],[f25,f4]) ).

fof(f25,plain,
    ! [X6,X7,X5] :
      ( ~ is_a_theorem(implies(X6,X7))
      | is_a_theorem(implies(X5,X7))
      | ~ is_a_theorem(implies(X5,X6)) ),
    inference(resolution,[],[f12,f6]) ).

fof(f6,plain,
    ! [X0,X1] :
      ( is_a_theorem(implies(X1,X0))
      | ~ is_a_theorem(X0) ),
    inference(resolution,[],[f1,f2]) ).

fof(f2,axiom,
    ! [X0,X1] : is_a_theorem(implies(X0,implies(X1,X0))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cn_18) ).

fof(f12,plain,
    ! [X2,X0,X1] :
      ( ~ is_a_theorem(implies(X0,implies(X1,X2)))
      | ~ is_a_theorem(implies(X0,X1))
      | is_a_theorem(implies(X0,X2)) ),
    inference(resolution,[],[f11,f1]) ).

fof(f11,plain,
    ! [X2,X0,X1] :
      ( is_a_theorem(implies(implies(X0,X1),implies(X0,X2)))
      | ~ is_a_theorem(implies(X0,implies(X1,X2))) ),
    inference(resolution,[],[f3,f1]) ).

fof(f3,axiom,
    ! [X2,X0,X1] : is_a_theorem(implies(implies(X0,implies(X1,X2)),implies(implies(X0,X1),implies(X0,X2)))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cn_35) ).

fof(f465,plain,
    ! [X0,X1] : is_a_theorem(implies(not(X0),implies(X0,X1))),
    inference(resolution,[],[f51,f2]) ).

fof(f368,plain,
    ( ! [X14,X13] :
        ( ~ is_a_theorem(implies(X13,implies(X13,X14)))
        | is_a_theorem(implies(X13,X14)) )
    | ~ spl0_3 ),
    inference(resolution,[],[f325,f11]) ).

fof(f325,plain,
    ( ! [X6,X7] :
        ( ~ is_a_theorem(implies(implies(X6,X6),X7))
        | is_a_theorem(X7) )
    | ~ spl0_3 ),
    inference(resolution,[],[f287,f1]) ).

fof(f287,plain,
    ( ! [X24,X25] : is_a_theorem(implies(implies(implies(X24,X24),X25),X25))
    | ~ spl0_3 ),
    inference(resolution,[],[f260,f45]) ).

fof(f45,plain,
    ( ! [X2,X3] :
        ( ~ is_a_theorem(implies(implies(X2,X3),X2))
        | is_a_theorem(implies(implies(X2,X3),X3)) )
    | ~ spl0_3 ),
    inference(resolution,[],[f37,f12]) ).

fof(f37,plain,
    ( ! [X2] : is_a_theorem(implies(X2,X2))
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f36]) ).

fof(f36,plain,
    ( spl0_3
  <=> ! [X2] : is_a_theorem(implies(X2,X2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f260,plain,
    ( ! [X6,X7] : is_a_theorem(implies(X6,implies(X7,X7)))
    | ~ spl0_3 ),
    inference(resolution,[],[f63,f37]) ).

fof(f63,plain,
    ! [X16,X17,X15] :
      ( ~ is_a_theorem(implies(not(X17),not(X16)))
      | is_a_theorem(implies(X15,implies(X16,X17))) ),
    inference(resolution,[],[f57,f4]) ).

fof(f57,plain,
    ! [X10,X11,X9] :
      ( ~ is_a_theorem(implies(X9,X10))
      | is_a_theorem(implies(X11,X10))
      | ~ is_a_theorem(X9) ),
    inference(resolution,[],[f47,f1]) ).

fof(f47,plain,
    ! [X2,X0,X1] :
      ( is_a_theorem(implies(X0,implies(X1,X2)))
      | ~ is_a_theorem(implies(X0,X2)) ),
    inference(resolution,[],[f25,f2]) ).

fof(f42,plain,
    spl0_3,
    inference(avatar_split_clause,[],[f29,f36]) ).

fof(f29,plain,
    ! [X0] : is_a_theorem(implies(X0,X0)),
    inference(resolution,[],[f23,f2]) ).

fof(f23,plain,
    ! [X0,X1] :
      ( ~ is_a_theorem(implies(X0,X1))
      | is_a_theorem(implies(X0,X0)) ),
    inference(resolution,[],[f12,f2]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem    : LCL076-1 : TPTP v8.1.0. Released v1.0.0.
% 0.04/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.35  % Computer : n029.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Tue Aug 30 01:43:26 EDT 2022
% 0.14/0.35  % CPUTime    : 
% 0.21/0.49  % (13477)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 (3000ds/176Mi)
% 0.21/0.50  % (13485)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/439Mi)
% 0.21/0.52  % (13464)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/7Mi)
% 0.21/0.52  % (13460)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.21/0.53  % (13475)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/100Mi)
% 0.21/0.53  % (13479)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 (3000ds/498Mi)
% 0.21/0.53  % (13471)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 (3000ds/68Mi)
% 0.21/0.53  % (13462)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 (3000ds/48Mi)
% 0.21/0.53  % (13483)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 (3000ds/68Mi)
% 0.21/0.53  % (13458)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/50Mi)
% 0.21/0.53  % (13459)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 (3000ds/37Mi)
% 0.21/0.53  % (13480)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 (3000ds/467Mi)
% 0.21/0.53  % (13465)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.21/0.53  % (13467)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/50Mi)
% 0.21/0.53  % (13482)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/500Mi)
% 0.21/0.53  % (13461)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.21/0.53  % (13457)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 (3000ds/191324Mi)
% 0.21/0.53  % (13465)Instruction limit reached!
% 0.21/0.53  % (13465)------------------------------
% 0.21/0.53  % (13465)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.53  % (13465)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.53  % (13465)Termination reason: Unknown
% 0.21/0.53  % (13465)Termination phase: Saturation
% 0.21/0.53  
% 0.21/0.53  % (13465)Memory used [KB]: 5373
% 0.21/0.53  % (13465)Time elapsed: 0.139 s
% 0.21/0.53  % (13465)Instructions burned: 2 (million)
% 0.21/0.53  % (13465)------------------------------
% 0.21/0.53  % (13465)------------------------------
% 0.21/0.53  TRYING [1]
% 0.21/0.53  TRYING [2]
% 0.21/0.54  % (13463)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.21/0.54  TRYING [3]
% 0.21/0.54  TRYING [1]
% 0.21/0.54  % (13464)Instruction limit reached!
% 0.21/0.54  % (13464)------------------------------
% 0.21/0.54  % (13464)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.54  % (13464)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.54  % (13464)Termination reason: Unknown
% 0.21/0.54  % (13464)Termination phase: Saturation
% 0.21/0.54  
% 0.21/0.54  % (13464)Memory used [KB]: 5500
% 0.21/0.54  % (13464)Time elapsed: 0.107 s
% 0.21/0.54  % (13464)Instructions burned: 7 (million)
% 0.21/0.54  % (13464)------------------------------
% 0.21/0.54  % (13464)------------------------------
% 0.21/0.54  % (13484)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 (3000ds/177Mi)
% 0.21/0.54  % (13458)Refutation not found, incomplete strategy% (13458)------------------------------
% 0.21/0.54  % (13458)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.54  % (13458)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.54  % (13458)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.54  
% 0.21/0.54  % (13458)Memory used [KB]: 5373
% 0.21/0.54  % (13458)Time elapsed: 0.127 s
% 0.21/0.54  % (13458)Instructions burned: 2 (million)
% 0.21/0.54  % (13458)------------------------------
% 0.21/0.54  % (13458)------------------------------
% 0.21/0.54  % (13474)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/59Mi)
% 0.21/0.54  TRYING [1]
% 0.21/0.54  TRYING [2]
% 0.21/0.54  TRYING [3]
% 0.21/0.54  % (13476)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 (3000ds/100Mi)
% 0.21/0.54  % (13481)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/482Mi)
% 0.21/0.54  % (13469)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/101Mi)
% 0.21/0.54  % (13486)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 (3000ds/355Mi)
% 0.21/0.54  % (13473)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 (3000ds/99Mi)
% 0.21/0.54  % (13468)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/100Mi)
% 0.21/0.55  % (13470)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/99Mi)
% 0.21/0.55  TRYING [2]
% 0.21/0.55  % (13478)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/138Mi)
% 0.21/0.55  TRYING [3]
% 0.21/0.55  % (13466)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 (3000ds/51Mi)
% 0.21/0.55  TRYING [4]
% 1.56/0.56  % (13472)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 (3000ds/75Mi)
% 1.56/0.56  % (13477)First to succeed.
% 1.56/0.57  TRYING [4]
% 1.56/0.57  TRYING [4]
% 1.56/0.57  % (13477)Refutation found. Thanks to Tanya!
% 1.56/0.57  % SZS status Unsatisfiable for theBenchmark
% 1.56/0.57  % SZS output start Proof for theBenchmark
% See solution above
% 1.56/0.57  % (13477)------------------------------
% 1.56/0.57  % (13477)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.56/0.57  % (13477)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.56/0.57  % (13477)Termination reason: Refutation
% 1.56/0.57  
% 1.56/0.57  % (13477)Memory used [KB]: 5884
% 1.56/0.57  % (13477)Time elapsed: 0.159 s
% 1.56/0.57  % (13477)Instructions burned: 40 (million)
% 1.56/0.57  % (13477)------------------------------
% 1.56/0.57  % (13477)------------------------------
% 1.56/0.57  % (13456)Success in time 0.21 s
%------------------------------------------------------------------------------