TSTP Solution File: GEO524+1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : GEO524+1 : TPTP v8.1.0. Released v7.0.0.
% 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 16:13:00 EDT 2022

% Result   : Theorem 2.03s 0.67s
% Output   : Refutation 2.03s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   20 (   6 unt;   0 def)
%            Number of atoms       :   48 (  47 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :   49 (  21   ~;  17   |;  10   &)
%                                         (   0 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   4 con; 0-3 aty)
%            Number of variables   :   43 (  31   !;  12   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f945,plain,
    $false,
    inference(subsumption_resolution,[],[f944,f730]) ).

fof(f730,plain,
    sK3 != sK2,
    inference(cnf_transformation,[],[f493]) ).

fof(f493,plain,
    ( sK1 != sK0
    & sK3 != sK2
    & reflect(sK1,sK0,sK2) = reflect(sK1,sK0,sK3) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f491,f492]) ).

fof(f492,plain,
    ( ? [X0,X1,X2,X3] :
        ( X0 != X1
        & X2 != X3
        & reflect(X1,X0,X2) = reflect(X1,X0,X3) )
   => ( sK1 != sK0
      & sK3 != sK2
      & reflect(sK1,sK0,sK2) = reflect(sK1,sK0,sK3) ) ),
    introduced(choice_axiom,[]) ).

fof(f491,plain,
    ? [X0,X1,X2,X3] :
      ( X0 != X1
      & X2 != X3
      & reflect(X1,X0,X2) = reflect(X1,X0,X3) ),
    inference(rectify,[],[f403]) ).

fof(f403,plain,
    ? [X1,X2,X3,X0] :
      ( X1 != X2
      & X0 != X3
      & reflect(X2,X1,X0) = reflect(X2,X1,X3) ),
    inference(ennf_transformation,[],[f261]) ).

fof(f261,plain,
    ~ ! [X2,X3,X1,X0] :
        ( reflect(X2,X1,X0) != reflect(X2,X1,X3)
        | X1 = X2
        | X0 = X3 ),
    inference(rectify,[],[f190]) ).

fof(f190,negated_conjecture,
    ~ ! [X15,X14,X11,X12] :
        ( reflect(X11,X14,X12) != reflect(X11,X14,X15)
        | X12 = X15
        | X11 = X14 ),
    inference(negated_conjecture,[],[f189]) ).

fof(f189,conjecture,
    ! [X15,X14,X11,X12] :
      ( reflect(X11,X14,X12) != reflect(X11,X14,X15)
      | X12 = X15
      | X11 = X14 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz10_7) ).

fof(f944,plain,
    sK3 = sK2,
    inference(subsumption_resolution,[],[f942,f731]) ).

fof(f731,plain,
    sK1 != sK0,
    inference(cnf_transformation,[],[f493]) ).

fof(f942,plain,
    ( sK1 = sK0
    | sK3 = sK2 ),
    inference(superposition,[],[f899,f940]) ).

fof(f940,plain,
    sK3 = reflect(sK1,sK0,reflect(sK1,sK0,sK2)),
    inference(subsumption_resolution,[],[f939,f731]) ).

fof(f939,plain,
    ( sK1 = sK0
    | sK3 = reflect(sK1,sK0,reflect(sK1,sK0,sK2)) ),
    inference(superposition,[],[f899,f729]) ).

fof(f729,plain,
    reflect(sK1,sK0,sK2) = reflect(sK1,sK0,sK3),
    inference(cnf_transformation,[],[f493]) ).

fof(f899,plain,
    ! [X2,X3,X0] :
      ( reflect(X0,X2,reflect(X0,X2,X3)) = X3
      | X0 = X2 ),
    inference(equality_resolution,[],[f701]) ).

fof(f701,plain,
    ! [X2,X3,X0,X1] :
      ( X0 = X2
      | reflect(X0,X2,X3) != X1
      | reflect(X0,X2,X1) = X3 ),
    inference(cnf_transformation,[],[f468]) ).

fof(f468,plain,
    ! [X0,X1,X2,X3] :
      ( X0 = X2
      | reflect(X0,X2,X3) != X1
      | reflect(X0,X2,X1) = X3 ),
    inference(rectify,[],[f396]) ).

fof(f396,plain,
    ! [X3,X2,X1,X0] :
      ( X1 = X3
      | reflect(X3,X1,X0) != X2
      | reflect(X3,X1,X2) = X0 ),
    inference(rectify,[],[f186]) ).

fof(f186,axiom,
    ! [X12,X14,X36,X11] :
      ( reflect(X11,X14,X12) != X36
      | reflect(X11,X14,X36) = X12
      | X11 = X14 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz10_4) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem    : GEO524+1 : TPTP v8.1.0. Released v7.0.0.
% 0.12/0.14  % 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   : Mon Aug 29 22:02:41 EDT 2022
% 0.14/0.35  % CPUTime    : 
% 0.21/0.57  % (11163)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)
% 0.21/0.57  % (11162)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)
% 1.54/0.58  % (11174)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.54/0.58  % (11158)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)
% 1.54/0.58  % (11166)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 (2999ds/51Mi)
% 1.54/0.58  % (11167)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.54/0.59  % (11178)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.54/0.59  % (11157)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)
% 1.54/0.59  % (11180)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)
% 1.54/0.59  % (11183)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)
% 1.70/0.59  % (11175)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.70/0.59  % (11160)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)
% 1.70/0.59  % (11159)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)
% 1.70/0.60  % (11172)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)
% 1.70/0.60  % (11179)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 (2999ds/498Mi)
% 1.70/0.60  % (11186)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)
% 1.70/0.60  % (11181)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.70/0.60  % (11177)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 (2999ds/176Mi)
% 1.70/0.60  % (11176)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)
% 1.70/0.60  % (11185)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.70/0.60  % (11164)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.70/0.60  % (11184)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 (2999ds/177Mi)
% 1.70/0.61  % (11170)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.70/0.61  % (11169)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.70/0.61  % (11171)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)
% 1.70/0.62  % (11164)Instruction limit reached!
% 1.70/0.62  % (11164)------------------------------
% 1.70/0.62  % (11164)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.70/0.62  % (11164)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.70/0.62  % (11164)Termination reason: Unknown
% 1.70/0.62  % (11164)Termination phase: Preprocessing 3
% 1.70/0.62  
% 1.70/0.62  % (11164)Memory used [KB]: 1535
% 1.70/0.62  % (11164)Time elapsed: 0.012 s
% 1.70/0.62  % (11164)Instructions burned: 7 (million)
% 1.70/0.62  % (11164)------------------------------
% 1.70/0.62  % (11164)------------------------------
% 1.70/0.62  % (11168)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)
% 1.97/0.63  % (11161)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 2.03/0.65  % (11173)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 (2999ds/99Mi)
% 2.03/0.65  % (11180)First to succeed.
% 2.03/0.66  % (11165)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 2.03/0.66  % (11165)Instruction limit reached!
% 2.03/0.66  % (11165)------------------------------
% 2.03/0.66  % (11165)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.03/0.66  % (11165)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.03/0.66  % (11165)Termination reason: Unknown
% 2.03/0.66  % (11165)Termination phase: Preprocessing 1
% 2.03/0.66  
% 2.03/0.66  % (11165)Memory used [KB]: 1151
% 2.03/0.66  % (11165)Time elapsed: 0.003 s
% 2.03/0.66  % (11165)Instructions burned: 2 (million)
% 2.03/0.66  % (11165)------------------------------
% 2.03/0.66  % (11165)------------------------------
% 2.03/0.66  % (11159)Instruction limit reached!
% 2.03/0.66  % (11159)------------------------------
% 2.03/0.66  % (11159)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.03/0.66  % (11182)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 2.03/0.66  % (11162)Instruction limit reached!
% 2.03/0.66  % (11162)------------------------------
% 2.03/0.66  % (11162)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.03/0.67  % (11162)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.03/0.67  % (11180)Refutation found. Thanks to Tanya!
% 2.03/0.67  % SZS status Theorem for theBenchmark
% 2.03/0.67  % SZS output start Proof for theBenchmark
% See solution above
% 2.03/0.67  % (11180)------------------------------
% 2.03/0.67  % (11180)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.03/0.67  % (11180)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.03/0.67  % (11180)Termination reason: Refutation
% 2.03/0.67  
% 2.03/0.67  % (11180)Memory used [KB]: 6396
% 2.03/0.67  % (11180)Time elapsed: 0.215 s
% 2.03/0.67  % (11180)Instructions burned: 38 (million)
% 2.03/0.67  % (11180)------------------------------
% 2.03/0.67  % (11180)------------------------------
% 2.03/0.67  % (11150)Success in time 0.307 s
%------------------------------------------------------------------------------