TSTP Solution File: LCL361-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : LCL361-1 : TPTP v8.1.0. Released v2.3.0.
% 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 : n018.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 17:48:02 EDT 2022

% Result   : Unsatisfiable 0.21s 0.55s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   28 (  21 unt;   0 def)
%            Number of atoms       :   38 (   7 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   25 (  15   ~;  10   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :   11 (  11 usr;   9 con; 0-2 aty)
%            Number of variables   :   22 (  22   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f567,plain,
    $false,
    inference(subsumption_resolution,[],[f564,f468]) ).

fof(f468,plain,
    ! [X1] : ~ is_a_theorem(implies(implies(sF0,X1),sF5)),
    inference(forward_demodulation,[],[f466,f6]) ).

fof(f6,plain,
    not(x) = sF0,
    introduced(function_definition,[]) ).

fof(f466,plain,
    ! [X1] : ~ is_a_theorem(implies(implies(not(x),X1),sF5)),
    inference(resolution,[],[f462,f4]) ).

fof(f4,axiom,
    ! [X0,X1] : is_a_theorem(implies(X0,implies(not(X0),X1))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cn_3) ).

fof(f462,plain,
    ! [X0] :
      ( ~ is_a_theorem(implies(x,X0))
      | ~ is_a_theorem(implies(X0,sF5)) ),
    inference(subsumption_resolution,[],[f460,f13]) ).

fof(f13,plain,
    ~ is_a_theorem(sF6),
    inference(definition_folding,[],[f5,f12,f11,f10,f9,f8,f7,f6]) ).

fof(f7,plain,
    implies(sF0,x) = sF1,
    introduced(function_definition,[]) ).

fof(f8,plain,
    implies(sF1,x) = sF2,
    introduced(function_definition,[]) ).

fof(f9,plain,
    implies(y,x) = sF3,
    introduced(function_definition,[]) ).

fof(f10,plain,
    sF4 = implies(sF3,x),
    introduced(function_definition,[]) ).

fof(f11,plain,
    sF5 = implies(sF2,sF4),
    introduced(function_definition,[]) ).

fof(f12,plain,
    sF6 = implies(x,sF5),
    introduced(function_definition,[]) ).

fof(f5,axiom,
    ~ is_a_theorem(implies(x,implies(implies(implies(not(x),x),x),implies(implies(y,x),x)))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_cn_10) ).

fof(f460,plain,
    ! [X0] :
      ( is_a_theorem(sF6)
      | ~ is_a_theorem(implies(X0,sF5))
      | ~ is_a_theorem(implies(x,X0)) ),
    inference(resolution,[],[f358,f1]) ).

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

fof(f358,plain,
    ! [X0] :
      ( is_a_theorem(implies(implies(X0,sF5),sF6))
      | ~ is_a_theorem(implies(x,X0)) ),
    inference(resolution,[],[f79,f1]) ).

fof(f79,plain,
    ! [X5] : is_a_theorem(implies(implies(x,X5),implies(implies(X5,sF5),sF6))),
    inference(superposition,[],[f2,f12]) ).

fof(f2,axiom,
    ! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cn_1) ).

fof(f564,plain,
    is_a_theorem(implies(implies(sF0,y),sF5)),
    inference(resolution,[],[f510,f161]) ).

fof(f161,plain,
    is_a_theorem(implies(implies(sF0,y),implies(sF3,sF1))),
    inference(superposition,[],[f68,f7]) ).

fof(f68,plain,
    ! [X0] : is_a_theorem(implies(implies(X0,y),implies(sF3,implies(X0,x)))),
    inference(superposition,[],[f2,f9]) ).

fof(f510,plain,
    ! [X66] :
      ( ~ is_a_theorem(implies(X66,implies(sF3,sF1)))
      | is_a_theorem(implies(X66,sF5)) ),
    inference(resolution,[],[f361,f235]) ).

fof(f235,plain,
    is_a_theorem(implies(implies(sF3,sF1),sF5)),
    inference(forward_demodulation,[],[f234,f11]) ).

fof(f234,plain,
    is_a_theorem(implies(implies(sF3,sF1),implies(sF2,sF4))),
    inference(superposition,[],[f70,f10]) ).

fof(f70,plain,
    ! [X2] : is_a_theorem(implies(implies(X2,sF1),implies(sF2,implies(X2,x)))),
    inference(superposition,[],[f2,f8]) ).

fof(f361,plain,
    ! [X2,X0,X1] :
      ( ~ is_a_theorem(implies(X1,X2))
      | is_a_theorem(implies(X0,X2))
      | ~ is_a_theorem(implies(X0,X1)) ),
    inference(resolution,[],[f61,f1]) ).

fof(f61,plain,
    ! [X2,X0,X1] :
      ( is_a_theorem(implies(implies(X0,X1),implies(X2,X1)))
      | ~ is_a_theorem(implies(X2,X0)) ),
    inference(resolution,[],[f2,f1]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem    : LCL361-1 : TPTP v8.1.0. Released v2.3.0.
% 0.12/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.35  % Computer : n018.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 02:01:24 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 0.21/0.50  % (10787)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.21/0.51  % (10788)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.21/0.51  % (10789)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)
% 0.21/0.52  % (10779)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.52  % (10781)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)
% 0.21/0.53  % (10780)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)
% 0.21/0.53  % (10775)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.21/0.53  % (10775)Refutation not found, incomplete strategy% (10775)------------------------------
% 0.21/0.53  % (10775)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.53  % (10775)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.53  % (10775)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.53  
% 0.21/0.53  % (10775)Memory used [KB]: 5373
% 0.21/0.53  % (10775)Time elapsed: 0.110 s
% 0.21/0.53  % (10775)------------------------------
% 0.21/0.53  % (10775)------------------------------
% 0.21/0.53  % (10804)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.21/0.53  % (10774)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 (2999ds/191324Mi)
% 0.21/0.53  TRYING [1]
% 0.21/0.53  TRYING [2]
% 0.21/0.53  TRYING [3]
% 0.21/0.54  % (10782)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.21/0.54  % (10800)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.21/0.54  % (10805)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 (2999ds/355Mi)
% 0.21/0.54  % (10776)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 (2999ds/37Mi)
% 0.21/0.54  % (10790)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 (2999ds/75Mi)
% 0.21/0.54  % (10786)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)
% 0.21/0.54  TRYING [1]
% 0.21/0.54  TRYING [2]
% 0.21/0.54  TRYING [3]
% 0.21/0.55  % (10801)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.21/0.55  TRYING [4]
% 0.21/0.55  % (10794)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 (2999ds/100Mi)
% 0.21/0.55  % (10788)First to succeed.
% 0.21/0.55  % (10778)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.55  % (10798)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 (2999ds/467Mi)
% 0.21/0.55  % (10793)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.21/0.55  % (10787)Also succeeded, but the first one will report.
% 0.21/0.55  TRYING [4]
% 0.21/0.55  % (10788)Refutation found. Thanks to Tanya!
% 0.21/0.55  % SZS status Unsatisfiable for theBenchmark
% 0.21/0.55  % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.55  % (10788)------------------------------
% 0.21/0.55  % (10788)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.55  % (10788)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.55  % (10788)Termination reason: Refutation
% 0.21/0.55  
% 0.21/0.55  % (10788)Memory used [KB]: 5756
% 0.21/0.55  % (10788)Time elapsed: 0.127 s
% 0.21/0.55  % (10788)Instructions burned: 19 (million)
% 0.21/0.55  % (10788)------------------------------
% 0.21/0.55  % (10788)------------------------------
% 0.21/0.55  % (10770)Success in time 0.193 s
%------------------------------------------------------------------------------