TSTP Solution File: SWV390+1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SWV390+1 : TPTP v8.1.0. Released v3.3.0.
% 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 : n005.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 18:45:25 EDT 2022

% Result   : Theorem 0.20s 0.54s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   23 (   9 unt;   0 def)
%            Number of atoms       :   46 (   7 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   41 (  18   ~;  10   |;   3   &)
%                                         (   5 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   6 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-3 aty)
%            Number of functors    :   12 (  12 usr;   5 con; 0-3 aty)
%            Number of variables   :   77 (  73   !;   4   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f252,plain,
    $false,
    inference(unit_resulting_resolution,[],[f118,f162,f193,f190]) ).

fof(f190,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ pair_in_list(insert_slb(X2,pair(X1,bottom)),X5,X4)
      | ~ check_cpq(insert_cpq(triple(X0,X2,X3),X1))
      | less_than(X4,X5) ),
    inference(superposition,[],[f136,f130]) ).

fof(f130,plain,
    ! [X2,X3,X0,X1] : triple(insert_pqp(X3,X2),insert_slb(X0,pair(X2,bottom)),X1) = insert_cpq(triple(X3,X0,X1),X2),
    inference(cnf_transformation,[],[f47]) ).

fof(f47,plain,
    ! [X0,X1,X3,X2] : triple(insert_pqp(X3,X2),insert_slb(X0,pair(X2,bottom)),X1) = insert_cpq(triple(X3,X0,X1),X2),
    inference(rectify,[],[f30]) ).

fof(f30,axiom,
    ! [X1,X2,X3,X0] : insert_cpq(triple(X0,X1,X2),X3) = triple(insert_pqp(X0,X3),insert_slb(X1,pair(X3,bottom)),X2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax42) ).

fof(f136,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ check_cpq(triple(X1,X2,X0))
      | less_than(X3,X4)
      | ~ pair_in_list(X2,X4,X3) ),
    inference(cnf_transformation,[],[f86]) ).

fof(f86,plain,
    ! [X0,X2,X1] :
      ( ! [X4,X3] :
          ( less_than(X3,X4)
          | ~ pair_in_list(X2,X4,X3) )
    <=> check_cpq(triple(X1,X2,X0)) ),
    inference(ennf_transformation,[],[f46]) ).

fof(f46,plain,
    ! [X1,X2,X0] :
      ( ! [X4,X3] :
          ( pair_in_list(X2,X4,X3)
         => less_than(X3,X4) )
    <=> check_cpq(triple(X1,X2,X0)) ),
    inference(rectify,[],[f42]) ).

fof(f42,axiom,
    ! [X2,X0,X1] :
      ( ! [X4,X3] :
          ( pair_in_list(X1,X3,X4)
         => less_than(X4,X3) )
    <=> check_cpq(triple(X0,X1,X2)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',l26_li4142) ).

fof(f193,plain,
    ! [X0,X1] : pair_in_list(insert_slb(sK0,pair(X0,X1)),sK4(sK0),sK5(sK0)),
    inference(unit_resulting_resolution,[],[f180,f114]) ).

fof(f114,plain,
    ! [X2,X3,X0,X1,X4] :
      ( pair_in_list(insert_slb(X0,pair(X4,X2)),X1,X3)
      | ~ pair_in_list(X0,X1,X3) ),
    inference(cnf_transformation,[],[f52]) ).

fof(f52,plain,
    ! [X0,X3,X1,X4,X2] :
      ( ( ( X1 = X4
          & X2 = X3 )
        | pair_in_list(X0,X1,X3) )
    <=> pair_in_list(insert_slb(X0,pair(X4,X2)),X1,X3) ),
    inference(rectify,[],[f11]) ).

fof(f11,axiom,
    ! [X0,X2,X3,X4,X1] :
      ( pair_in_list(insert_slb(X0,pair(X1,X3)),X2,X4)
    <=> ( pair_in_list(X0,X2,X4)
        | ( X1 = X2
          & X3 = X4 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax23) ).

fof(f180,plain,
    pair_in_list(sK0,sK4(sK0),sK5(sK0)),
    inference(unit_resulting_resolution,[],[f119,f134]) ).

fof(f134,plain,
    ! [X2,X0,X1] :
      ( pair_in_list(X2,sK4(X2),sK5(X2))
      | check_cpq(triple(X1,X2,X0)) ),
    inference(cnf_transformation,[],[f86]) ).

fof(f119,plain,
    ~ check_cpq(triple(sK1,sK0,sK2)),
    inference(cnf_transformation,[],[f94]) ).

fof(f94,plain,
    ? [X2,X0,X1] :
      ( ~ check_cpq(triple(X0,X2,X1))
      & ? [X3] : check_cpq(insert_cpq(triple(X0,X2,X1),X3)) ),
    inference(ennf_transformation,[],[f45]) ).

fof(f45,plain,
    ~ ! [X1,X2,X0] :
        ( ~ check_cpq(triple(X0,X2,X1))
       => ! [X3] : ~ check_cpq(insert_cpq(triple(X0,X2,X1),X3)) ),
    inference(rectify,[],[f44]) ).

fof(f44,negated_conjecture,
    ~ ! [X0,X2,X1] :
        ( ~ check_cpq(triple(X0,X1,X2))
       => ! [X3] : ~ check_cpq(insert_cpq(triple(X0,X1,X2),X3)) ),
    inference(negated_conjecture,[],[f43]) ).

fof(f43,conjecture,
    ! [X0,X2,X1] :
      ( ~ check_cpq(triple(X0,X1,X2))
     => ! [X3] : ~ check_cpq(insert_cpq(triple(X0,X1,X2),X3)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',l26_co) ).

fof(f162,plain,
    ~ less_than(sK5(sK0),sK4(sK0)),
    inference(unit_resulting_resolution,[],[f119,f135]) ).

fof(f135,plain,
    ! [X2,X0,X1] :
      ( ~ less_than(sK5(X2),sK4(X2))
      | check_cpq(triple(X1,X2,X0)) ),
    inference(cnf_transformation,[],[f86]) ).

fof(f118,plain,
    check_cpq(insert_cpq(triple(sK1,sK0,sK2),sK3)),
    inference(cnf_transformation,[],[f94]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : SWV390+1 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.35  % Computer : n005.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 19:21:33 EDT 2022
% 0.14/0.35  % CPUTime    : 
% 0.20/0.48  % (4522)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)
% 0.20/0.48  % (4514)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.48  % (4514)Instruction limit reached!
% 0.20/0.48  % (4514)------------------------------
% 0.20/0.48  % (4514)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.49  % (4514)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.49  % (4514)Termination reason: Unknown
% 0.20/0.49  % (4514)Termination phase: Property scanning
% 0.20/0.49  
% 0.20/0.49  % (4514)Memory used [KB]: 1535
% 0.20/0.49  % (4514)Time elapsed: 0.003 s
% 0.20/0.49  % (4514)Instructions burned: 3 (million)
% 0.20/0.49  % (4514)------------------------------
% 0.20/0.49  % (4514)------------------------------
% 0.20/0.51  % (4505)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)
% 0.20/0.52  % (4504)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.20/0.52  % (4499)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)
% 0.20/0.52  % (4499)Instruction limit reached!
% 0.20/0.52  % (4499)------------------------------
% 0.20/0.52  % (4499)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52  % (4499)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52  % (4499)Termination reason: Unknown
% 0.20/0.52  % (4499)Termination phase: Saturation
% 0.20/0.52  
% 0.20/0.52  % (4499)Memory used [KB]: 1535
% 0.20/0.52  % (4499)Time elapsed: 0.003 s
% 0.20/0.52  % (4499)Instructions burned: 4 (million)
% 0.20/0.52  % (4499)------------------------------
% 0.20/0.52  % (4499)------------------------------
% 0.20/0.52  % (4506)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)
% 0.20/0.53  % (4497)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.20/0.53  % (4513)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)
% 0.20/0.53  % (4503)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)
% 0.20/0.53  % (4501)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)
% 0.20/0.53  % (4526)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)
% 0.20/0.53  % (4524)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)
% 0.20/0.54  % (4498)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.20/0.54  % (4525)dis+2_3:1_aac=none:abs=on:ep=R:lcm=reverse:nwc=10.0:sos=on:sp=const_frequency:spb=units:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.20/0.54  % (4523)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)
% 0.20/0.54  % (4502)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)
% 0.20/0.54  % (4500)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)
% 0.20/0.54  % (4516)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)
% 0.20/0.54  % (4511)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.54  % (4511)Instruction limit reached!
% 0.20/0.54  % (4511)------------------------------
% 0.20/0.54  % (4511)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54  % (4511)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54  % (4511)Termination reason: Unknown
% 0.20/0.54  % (4511)Termination phase: Saturation
% 0.20/0.54  
% 0.20/0.54  % (4511)Memory used [KB]: 6012
% 0.20/0.54  % (4511)Time elapsed: 0.003 s
% 0.20/0.54  % (4511)Instructions burned: 4 (million)
% 0.20/0.54  % (4511)------------------------------
% 0.20/0.54  % (4511)------------------------------
% 0.20/0.54  % (4515)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)
% 0.20/0.54  % (4505)First to succeed.
% 0.20/0.54  % (4515)Instruction limit reached!
% 0.20/0.54  % (4515)------------------------------
% 0.20/0.54  % (4515)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54  % (4515)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54  % (4515)Termination reason: Unknown
% 0.20/0.54  % (4515)Termination phase: Preprocessing 1
% 0.20/0.54  
% 0.20/0.54  % (4515)Memory used [KB]: 1407
% 0.20/0.54  % (4515)Time elapsed: 0.002 s
% 0.20/0.54  % (4515)Instructions burned: 2 (million)
% 0.20/0.54  % (4515)------------------------------
% 0.20/0.54  % (4515)------------------------------
% 0.20/0.54  % (4505)Refutation found. Thanks to Tanya!
% 0.20/0.54  % SZS status Theorem for theBenchmark
% 0.20/0.54  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.54  % (4505)------------------------------
% 0.20/0.54  % (4505)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54  % (4505)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54  % (4505)Termination reason: Refutation
% 0.20/0.54  
% 0.20/0.54  % (4505)Memory used [KB]: 6140
% 0.20/0.54  % (4505)Time elapsed: 0.122 s
% 0.20/0.54  % (4505)Instructions burned: 8 (million)
% 0.20/0.54  % (4505)------------------------------
% 0.20/0.54  % (4505)------------------------------
% 0.20/0.54  % (4496)Success in time 0.184 s
%------------------------------------------------------------------------------