TSTP Solution File: LCL065-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : LCL065-1 : 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 : n016.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 17:46:44 EDT 2022

% Result   : Unsatisfiable 1.41s 0.58s
% Output   : Refutation 1.41s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   23 (  10 unt;   0 def)
%            Number of atoms       :   39 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   39 (  23   ~;  15   |;   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   :   35 (  35   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1091,plain,
    $false,
    inference(avatar_sat_refutation,[],[f72,f1090]) ).

fof(f1090,plain,
    spl0_4,
    inference(avatar_split_clause,[],[f1074,f41]) ).

fof(f41,plain,
    ( spl0_4
  <=> ! [X1] : ~ is_a_theorem(X1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f1074,plain,
    ! [X0] : ~ is_a_theorem(X0),
    inference(resolution,[],[f1072,f261]) ).

fof(f261,plain,
    ! [X10,X9] :
      ( is_a_theorem(implies(implies(not(X9),not(X10)),X9))
      | ~ is_a_theorem(X10) ),
    inference(resolution,[],[f122,f6]) ).

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

fof(f2,axiom,
    ! [X0,X1] : is_a_theorem(implies(X0,implies(X1,X0))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cn_18) ).

fof(f1,axiom,
    ! [X0,X1] :
      ( ~ is_a_theorem(implies(X0,X1))
      | ~ is_a_theorem(X0)
      | is_a_theorem(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',condensed_detachment) ).

fof(f122,plain,
    ! [X26,X27] :
      ( is_a_theorem(implies(implies(not(X26),not(X27)),X26))
      | ~ is_a_theorem(implies(implies(not(X26),not(X27)),X27)) ),
    inference(resolution,[],[f112,f4]) ).

fof(f4,axiom,
    ! [X0,X1] : is_a_theorem(implies(implies(not(X0),not(X1)),implies(X1,X0))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cn_49) ).

fof(f112,plain,
    ! [X2,X0,X1] :
      ( ~ is_a_theorem(implies(X0,implies(X1,X2)))
      | is_a_theorem(implies(X0,X2))
      | ~ is_a_theorem(implies(X0,X1)) ),
    inference(resolution,[],[f111,f1]) ).

fof(f111,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/sandbox2/benchmark/theBenchmark.p',cn_35) ).

fof(f1072,plain,
    ! [X0] : ~ is_a_theorem(implies(implies(not(a),X0),a)),
    inference(subsumption_resolution,[],[f1045,f205]) ).

fof(f205,plain,
    ! [X0,X1] : is_a_theorem(implies(not(X0),implies(X0,X1))),
    inference(resolution,[],[f185,f4]) ).

fof(f185,plain,
    ! [X2,X0,X1] :
      ( ~ is_a_theorem(implies(implies(X2,X0),X1))
      | is_a_theorem(implies(X0,X1)) ),
    inference(resolution,[],[f114,f2]) ).

fof(f114,plain,
    ! [X2,X3,X4] :
      ( is_a_theorem(implies(X2,X3))
      | ~ is_a_theorem(implies(X4,X3))
      | ~ is_a_theorem(implies(X2,X4)) ),
    inference(resolution,[],[f112,f6]) ).

fof(f1045,plain,
    ! [X0] :
      ( ~ is_a_theorem(implies(implies(not(a),X0),a))
      | ~ is_a_theorem(implies(not(a),implies(a,X0))) ),
    inference(resolution,[],[f163,f111]) ).

fof(f163,plain,
    ! [X0] :
      ( ~ is_a_theorem(implies(implies(not(a),a),X0))
      | ~ is_a_theorem(implies(X0,a)) ),
    inference(resolution,[],[f114,f5]) ).

fof(f5,axiom,
    ~ is_a_theorem(implies(implies(not(a),a),a)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_cn_2) ).

fof(f72,plain,
    ~ spl0_4,
    inference(avatar_contradiction_clause,[],[f61]) ).

fof(f61,plain,
    ( $false
    | ~ spl0_4 ),
    inference(subsumption_resolution,[],[f2,f42]) ).

fof(f42,plain,
    ( ! [X1] : ~ is_a_theorem(X1)
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f41]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem    : LCL065-1 : 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
% 0.09/0.33  % Computer : n016.cluster.edu
% 0.09/0.33  % Model    : x86_64 x86_64
% 0.09/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.33  % Memory   : 8042.1875MB
% 0.09/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.33  % CPULimit   : 300
% 0.09/0.33  % WCLimit    : 300
% 0.09/0.33  % DateTime   : Tue Aug 30 01:55:15 EDT 2022
% 0.09/0.33  % CPUTime    : 
% 0.15/0.44  % (7288)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)
% 0.15/0.46  % (7296)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)
% 0.15/0.48  % (7282)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.15/0.49  % (7297)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)
% 0.15/0.49  % (7290)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)
% 0.15/0.50  % (7298)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/482Mi)
% 0.15/0.50  % (7289)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)
% 0.15/0.50  % (7282)Instruction limit reached!
% 0.15/0.50  % (7282)------------------------------
% 0.15/0.50  % (7282)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.50  % (7282)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.50  % (7282)Termination reason: Unknown
% 0.15/0.50  % (7282)Termination phase: Saturation
% 0.15/0.50  
% 0.15/0.50  % (7282)Memory used [KB]: 895
% 0.15/0.50  % (7282)Time elapsed: 0.004 s
% 0.15/0.50  % (7282)Instructions burned: 2 (million)
% 0.15/0.50  % (7282)------------------------------
% 0.15/0.50  % (7282)------------------------------
% 0.15/0.50  % (7280)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)
% 0.15/0.50  TRYING [1]
% 0.15/0.50  TRYING [2]
% 0.15/0.51  TRYING [3]
% 0.15/0.53  % (7288)Instruction limit reached!
% 0.15/0.53  % (7288)------------------------------
% 0.15/0.53  % (7288)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.53  % (7288)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.53  % (7288)Termination reason: Unknown
% 0.15/0.53  % (7288)Termination phase: Saturation
% 0.15/0.53  
% 0.15/0.53  % (7288)Memory used [KB]: 6268
% 0.15/0.53  % (7288)Time elapsed: 0.049 s
% 0.15/0.53  % (7288)Instructions burned: 69 (million)
% 0.15/0.53  % (7288)------------------------------
% 0.15/0.53  % (7288)------------------------------
% 0.15/0.53  TRYING [4]
% 0.15/0.54  % (7278)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.15/0.54  % (7287)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/99Mi)
% 0.15/0.54  % (7277)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)
% 0.15/0.54  % (7294)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)
% 0.15/0.54  % (7279)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)
% 0.15/0.54  % (7276)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)
% 0.15/0.55  % (7300)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)
% 0.15/0.55  % (7302)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/439Mi)
% 0.15/0.55  % (7285)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)
% 0.15/0.55  % (7303)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)
% 0.15/0.55  % (7284)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/50Mi)
% 0.15/0.56  % (7293)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)
% 0.15/0.56  % (7292)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/100Mi)
% 0.15/0.56  % (7286)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/101Mi)
% 0.15/0.56  % (7295)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/138Mi)
% 0.15/0.56  % (7280)Instruction limit reached!
% 0.15/0.56  % (7280)------------------------------
% 0.15/0.56  % (7280)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.56  % (7280)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.56  % (7280)Termination reason: Unknown
% 0.15/0.56  % (7280)Termination phase: Finite model building SAT solving
% 0.15/0.56  
% 0.15/0.56  % (7280)Memory used [KB]: 6780
% 0.15/0.56  % (7280)Time elapsed: 0.134 s
% 0.15/0.56  % (7280)Instructions burned: 52 (million)
% 0.15/0.56  % (7280)------------------------------
% 0.15/0.56  % (7280)------------------------------
% 0.15/0.57  % (7301)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)
% 1.41/0.58  % (7290)First to succeed.
% 1.41/0.58  % (7290)Refutation found. Thanks to Tanya!
% 1.41/0.58  % SZS status Unsatisfiable for theBenchmark
% 1.41/0.58  % SZS output start Proof for theBenchmark
% See solution above
% 1.41/0.58  % (7290)------------------------------
% 1.41/0.58  % (7290)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.41/0.58  % (7290)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.41/0.58  % (7290)Termination reason: Refutation
% 1.41/0.58  
% 1.41/0.58  % (7290)Memory used [KB]: 5884
% 1.41/0.58  % (7290)Time elapsed: 0.172 s
% 1.41/0.58  % (7290)Instructions burned: 48 (million)
% 1.41/0.58  % (7290)------------------------------
% 1.41/0.58  % (7290)------------------------------
% 1.41/0.58  % (7273)Success in time 0.238 s
%------------------------------------------------------------------------------