TSTP Solution File: LCL893+1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : LCL893+1 : TPTP v8.1.0. Released v5.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s

% Computer : n015.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 17:46:22 EDT 2022

% Result   : Theorem 1.70s 0.63s
% Output   : Refutation 1.70s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   34 (  14 unt;   0 def)
%            Number of atoms       :   67 (  29 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   59 (  26   ~;  17   |;   8   &)
%                                         (   2 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   2 con; 0-2 aty)
%            Number of variables   :   42 (  40   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f119,plain,
    $false,
    inference(subsumption_resolution,[],[f118,f50]) ).

fof(f50,plain,
    ! [X0] : '>='(X0,X0),
    inference(cnf_transformation,[],[f5]) ).

fof(f5,axiom,
    ! [X0] : '>='(X0,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_05) ).

fof(f118,plain,
    ~ '>='(sK0,sK0),
    inference(forward_demodulation,[],[f117,f51]) ).

fof(f51,plain,
    ! [X0] : '+'(X0,'0') = X0,
    inference(cnf_transformation,[],[f3]) ).

fof(f3,axiom,
    ! [X0] : '+'(X0,'0') = X0,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_03) ).

fof(f117,plain,
    ~ '>='('+'(sK0,'0'),sK0),
    inference(subsumption_resolution,[],[f113,f59]) ).

fof(f59,plain,
    '0' != sK0,
    inference(cnf_transformation,[],[f43]) ).

fof(f43,plain,
    ( h(sK0) = sK0
    & '0' != sK0 ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f33,f42]) ).

fof(f42,plain,
    ( ? [X0] :
        ( h(X0) = X0
        & '0' != X0 )
   => ( h(sK0) = sK0
      & '0' != sK0 ) ),
    introduced(choice_axiom,[]) ).

fof(f33,plain,
    ? [X0] :
      ( h(X0) = X0
      & '0' != X0 ),
    inference(ennf_transformation,[],[f21]) ).

fof(f21,plain,
    ~ ! [X0] :
        ( h(X0) = X0
       => '0' = X0 ),
    inference(rectify,[],[f16]) ).

fof(f16,negated_conjecture,
    ~ ! [X20] :
        ( h(X20) = X20
       => '0' = X20 ),
    inference(negated_conjecture,[],[f15]) ).

fof(f15,conjecture,
    ! [X20] :
      ( h(X20) = X20
     => '0' = X20 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals_15) ).

fof(f113,plain,
    ( '0' = sK0
    | ~ '>='('+'(sK0,'0'),sK0) ),
    inference(resolution,[],[f84,f53]) ).

fof(f53,plain,
    ! [X0] : '>='(X0,'0'),
    inference(cnf_transformation,[],[f9]) ).

fof(f9,axiom,
    ! [X0] : '>='(X0,'0'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_09) ).

fof(f84,plain,
    ! [X3] :
      ( ~ '>='(sK0,X3)
      | ~ '>='('+'(sK0,X3),sK0)
      | sK0 = X3 ),
    inference(resolution,[],[f64,f55]) ).

fof(f55,plain,
    ! [X0,X1] :
      ( ~ '>='(X1,X0)
      | ~ '>='(X0,X1)
      | X0 = X1 ),
    inference(cnf_transformation,[],[f39]) ).

fof(f39,plain,
    ! [X0,X1] :
      ( ~ '>='(X1,X0)
      | X0 = X1
      | ~ '>='(X0,X1) ),
    inference(rectify,[],[f30]) ).

fof(f30,plain,
    ! [X1,X0] :
      ( ~ '>='(X0,X1)
      | X0 = X1
      | ~ '>='(X1,X0) ),
    inference(flattening,[],[f29]) ).

fof(f29,plain,
    ! [X1,X0] :
      ( X0 = X1
      | ~ '>='(X0,X1)
      | ~ '>='(X1,X0) ),
    inference(ennf_transformation,[],[f24]) ).

fof(f24,plain,
    ! [X1,X0] :
      ( ( '>='(X0,X1)
        & '>='(X1,X0) )
     => X0 = X1 ),
    inference(rectify,[],[f7]) ).

fof(f7,axiom,
    ! [X7,X6] :
      ( ( '>='(X6,X7)
        & '>='(X7,X6) )
     => X6 = X7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_07) ).

fof(f64,plain,
    ! [X1] :
      ( '>='(X1,sK0)
      | ~ '>='('+'(sK0,X1),sK0) ),
    inference(superposition,[],[f46,f62]) ).

fof(f62,plain,
    '==>'(sK0,sK0) = sK0,
    inference(superposition,[],[f48,f60]) ).

fof(f60,plain,
    h(sK0) = sK0,
    inference(cnf_transformation,[],[f43]) ).

fof(f48,plain,
    ! [X0] : h(X0) = '==>'(h(X0),X0),
    inference(cnf_transformation,[],[f14]) ).

fof(f14,axiom,
    ! [X0] : h(X0) = '==>'(h(X0),X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_14) ).

fof(f46,plain,
    ! [X2,X0,X1] :
      ( '>='(X2,'==>'(X1,X0))
      | ~ '>='('+'(X1,X2),X0) ),
    inference(cnf_transformation,[],[f36]) ).

fof(f36,plain,
    ! [X0,X1,X2] :
      ( ( '>='(X2,'==>'(X1,X0))
        | ~ '>='('+'(X1,X2),X0) )
      & ( '>='('+'(X1,X2),X0)
        | ~ '>='(X2,'==>'(X1,X0)) ) ),
    inference(rectify,[],[f35]) ).

fof(f35,plain,
    ! [X0,X2,X1] :
      ( ( '>='(X1,'==>'(X2,X0))
        | ~ '>='('+'(X2,X1),X0) )
      & ( '>='('+'(X2,X1),X0)
        | ~ '>='(X1,'==>'(X2,X0)) ) ),
    inference(nnf_transformation,[],[f22]) ).

fof(f22,plain,
    ! [X0,X2,X1] :
      ( '>='(X1,'==>'(X2,X0))
    <=> '>='('+'(X2,X1),X0) ),
    inference(rectify,[],[f8]) ).

fof(f8,axiom,
    ! [X10,X9,X8] :
      ( '>='('+'(X8,X9),X10)
    <=> '>='(X9,'==>'(X8,X10)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_08) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : LCL893+1 : TPTP v8.1.0. Released v5.5.0.
% 0.13/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.34  % Computer : n015.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit   : 300
% 0.14/0.34  % WCLimit    : 300
% 0.14/0.34  % DateTime   : Tue Aug 30 03:09:20 EDT 2022
% 0.21/0.35  % CPUTime    : 
% 0.21/0.60  % (22415)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 1.70/0.60  % (22416)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 1.70/0.61  % (22433)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 1.70/0.61  % (22437)dis+21_1:1_aac=none:abs=on:er=known:fde=none:fsr=off:nwc=5.0:s2a=on:s2at=4.0:sp=const_frequency:to=lpo:urr=ec_only:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 1.70/0.61  % (22421)lrs+10_1:2_br=off:nm=4:ss=included:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.70/0.61  % (22422)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 1.70/0.61  % (22418)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 1.70/0.61  % (22413)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.70/0.61  % (22414)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 1.70/0.61  % (22413)Refutation not found, incomplete strategy% (22413)------------------------------
% 1.70/0.61  % (22413)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.70/0.61  % (22419)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 1.70/0.61  % (22412)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.70/0.61  % (22436)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.70/0.61  % (22412)Instruction limit reached!
% 1.70/0.61  % (22412)------------------------------
% 1.70/0.61  % (22412)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.70/0.62  % (22421)Instruction limit reached!
% 1.70/0.62  % (22421)------------------------------
% 1.70/0.62  % (22421)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.70/0.62  % (22420)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/12Mi)
% 1.70/0.62  % (22426)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.70/0.62  % (22427)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.70/0.62  % (22413)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.70/0.62  % (22413)Termination reason: Refutation not found, incomplete strategy
% 1.70/0.62  
% 1.70/0.62  % (22413)Memory used [KB]: 5884
% 1.70/0.62  % (22413)Time elapsed: 0.184 s
% 1.70/0.62  % (22413)Instructions burned: 2 (million)
% 1.70/0.62  % (22413)------------------------------
% 1.70/0.62  % (22413)------------------------------
% 1.70/0.62  % (22425)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.70/0.62  % (22423)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.70/0.62  % (22430)dis+1010_1:1_bs=on:ep=RS:erd=off:newcnf=on:nwc=10.0:s2a=on:sgt=32:ss=axioms:i=30:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/30Mi)
% 1.70/0.62  % (22434)dis+21_1:1_ep=RS:nwc=10.0:s2a=on:s2at=1.5:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.70/0.62  % (22439)lrs-11_1:1_nm=0:sac=on:sd=4:ss=axioms:st=3.0:i=24:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/24Mi)
% 1.70/0.62  % (22412)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.70/0.62  % (22412)Termination reason: Unknown
% 1.70/0.62  % (22412)Termination phase: Saturation
% 1.70/0.62  
% 1.70/0.62  % (22412)Memory used [KB]: 5884
% 1.70/0.62  % (22412)Time elapsed: 0.195 s
% 1.70/0.62  % (22412)Instructions burned: 3 (million)
% 1.70/0.62  % (22412)------------------------------
% 1.70/0.62  % (22412)------------------------------
% 1.70/0.62  % (22435)lrs+11_1:1_plsq=on:plsqc=1:plsqr=32,1:ss=included:i=95:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/95Mi)
% 1.70/0.62  % (22428)ott+1010_1:1_sd=2:sos=on:sp=occurrence:ss=axioms:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.70/0.62  TRYING [1]
% 1.70/0.62  % (22432)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 1.70/0.63  % (22429)dis-10_3:2_amm=sco:ep=RS:fsr=off:nm=10:sd=2:sos=on:ss=axioms:st=3.0:i=11:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/11Mi)
% 1.70/0.63  % (22422)Refutation not found, incomplete strategy% (22422)------------------------------
% 1.70/0.63  % (22422)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.70/0.63  % (22426)First to succeed.
% 1.70/0.63  % (22428)Instruction limit reached!
% 1.70/0.63  % (22428)------------------------------
% 1.70/0.63  % (22428)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.70/0.63  % (22421)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.70/0.63  % (22421)Termination reason: Unknown
% 1.70/0.63  % (22421)Termination phase: Saturation
% 1.70/0.63  
% 1.70/0.63  % (22421)Memory used [KB]: 6012
% 1.70/0.63  % (22421)Time elapsed: 0.199 s
% 1.70/0.63  % (22421)Instructions burned: 7 (million)
% 1.70/0.63  % (22421)------------------------------
% 1.70/0.63  % (22421)------------------------------
% 1.70/0.63  % (22428)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.70/0.63  % (22428)Termination reason: Unknown
% 1.70/0.63  % (22428)Termination phase: Saturation
% 1.70/0.63  
% 1.70/0.63  % (22428)Memory used [KB]: 1407
% 1.70/0.63  % (22428)Time elapsed: 0.005 s
% 1.70/0.63  % (22428)Instructions burned: 2 (million)
% 1.70/0.63  % (22428)------------------------------
% 1.70/0.63  % (22428)------------------------------
% 1.70/0.63  % (22426)Refutation found. Thanks to Tanya!
% 1.70/0.63  % SZS status Theorem for theBenchmark
% 1.70/0.63  % SZS output start Proof for theBenchmark
% See solution above
% 1.70/0.63  % (22426)------------------------------
% 1.70/0.63  % (22426)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.70/0.63  % (22426)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.70/0.63  % (22426)Termination reason: Refutation
% 1.70/0.63  
% 1.70/0.63  % (22426)Memory used [KB]: 6012
% 1.70/0.63  % (22426)Time elapsed: 0.210 s
% 1.70/0.63  % (22426)Instructions burned: 4 (million)
% 1.70/0.63  % (22426)------------------------------
% 1.70/0.63  % (22426)------------------------------
% 1.70/0.63  % (22409)Success in time 0.288 s
%------------------------------------------------------------------------------