TSTP Solution File: SWV366+1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SWV366+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 : n004.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 18:45:19 EDT 2022

% Result   : Theorem 1.73s 0.59s
% Output   : Refutation 1.73s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   13 (   9 unt;   0 def)
%            Number of atoms       :   17 (  16 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   11 (   7   ~;   0   |;   1   &)
%                                         (   0 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   6 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :   12 (  12 usr;   7 con; 0-3 aty)
%            Number of variables   :   65 (  58   !;   7   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f155,plain,
    $false,
    inference(equality_resolution,[],[f138]) ).

fof(f138,plain,
    ! [X0,X1] : insert_pq(i(triple(X0,sK1,X1)),sK4) != insert_pq(i(triple(sK2,sK1,sK5)),sK4),
    inference(superposition,[],[f126,f110]) ).

fof(f110,plain,
    ! [X2,X3,X1,X4] : i(triple(X1,sK1,X4)) = i(triple(X3,sK1,X2)),
    inference(cnf_transformation,[],[f87]) ).

fof(f87,plain,
    ? [X0] :
      ( ! [X2,X3,X1,X4] : i(triple(X3,X0,X2)) = i(triple(X1,X0,X4))
      & ? [X9,X5,X10,X6,X8,X7] : i(triple(X5,insert_slb(X0,pair(X10,X8)),X7)) != i(triple(X9,insert_slb(X0,pair(X10,X8)),X6)) ),
    inference(ennf_transformation,[],[f65]) ).

fof(f65,plain,
    ~ ! [X0] :
        ( ! [X2,X3,X1,X4] : i(triple(X3,X0,X2)) = i(triple(X1,X0,X4))
       => ! [X8,X7,X5,X9,X6,X10] : i(triple(X5,insert_slb(X0,pair(X10,X8)),X7)) = i(triple(X9,insert_slb(X0,pair(X10,X8)),X6)) ),
    inference(rectify,[],[f64]) ).

fof(f64,negated_conjecture,
    ~ ! [X0] :
        ( ! [X1,X4,X2,X3] : i(triple(X1,X0,X3)) = i(triple(X2,X0,X4))
       => ! [X5,X8,X7,X10,X6,X9] : i(triple(X5,insert_slb(X0,pair(X9,X10)),X7)) = i(triple(X6,insert_slb(X0,pair(X9,X10)),X8)) ),
    inference(negated_conjecture,[],[f63]) ).

fof(f63,conjecture,
    ! [X0] :
      ( ! [X1,X4,X2,X3] : i(triple(X1,X0,X3)) = i(triple(X2,X0,X4))
     => ! [X5,X8,X7,X10,X6,X9] : i(triple(X5,insert_slb(X0,pair(X9,X10)),X7)) = i(triple(X6,insert_slb(X0,pair(X9,X10)),X8)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',l2_co) ).

fof(f126,plain,
    insert_pq(i(triple(sK3,sK1,sK7)),sK4) != insert_pq(i(triple(sK2,sK1,sK5)),sK4),
    inference(superposition,[],[f117,f113]) ).

fof(f113,plain,
    ! [X2,X3,X0,X1,X4] : i(triple(X1,insert_slb(X4,pair(X0,X2)),X3)) = insert_pq(i(triple(X1,X4,X3)),X0),
    inference(cnf_transformation,[],[f67]) ).

fof(f67,plain,
    ! [X0,X4,X2,X1,X3] : i(triple(X1,insert_slb(X4,pair(X0,X2)),X3)) = insert_pq(i(triple(X1,X4,X3)),X0),
    inference(rectify,[],[f55]) ).

fof(f55,axiom,
    ! [X3,X0,X4,X2,X1] : i(triple(X0,insert_slb(X1,pair(X3,X4)),X2)) = insert_pq(i(triple(X0,X1,X2)),X3),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax55) ).

fof(f117,plain,
    i(triple(sK3,insert_slb(sK1,pair(sK4,sK6)),sK7)) != insert_pq(i(triple(sK2,sK1,sK5)),sK4),
    inference(forward_demodulation,[],[f109,f113]) ).

fof(f109,plain,
    i(triple(sK3,insert_slb(sK1,pair(sK4,sK6)),sK7)) != i(triple(sK2,insert_slb(sK1,pair(sK4,sK6)),sK5)),
    inference(cnf_transformation,[],[f87]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem    : SWV366+1 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.14  % 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 : n004.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 19:19:05 EDT 2022
% 0.14/0.35  % CPUTime    : 
% 0.21/0.56  % (12190)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)
% 1.40/0.57  % (12201)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)
% 1.40/0.57  % (12209)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)
% 1.40/0.57  % (12182)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 1.40/0.57  % (12201)Refutation not found, incomplete strategy% (12201)------------------------------
% 1.40/0.57  % (12201)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.40/0.57  % (12190)First to succeed.
% 1.40/0.58  % (12188)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)
% 1.40/0.58  % (12189)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)
% 1.40/0.58  % (12201)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.40/0.58  % (12201)Termination reason: Refutation not found, incomplete strategy
% 1.40/0.58  
% 1.40/0.58  % (12201)Memory used [KB]: 6012
% 1.40/0.58  % (12201)Time elapsed: 0.148 s
% 1.40/0.58  % (12201)Instructions burned: 4 (million)
% 1.40/0.58  % (12201)------------------------------
% 1.40/0.58  % (12201)------------------------------
% 1.40/0.58  % (12209)Also succeeded, but the first one will report.
% 1.73/0.59  % (12190)Refutation found. Thanks to Tanya!
% 1.73/0.59  % SZS status Theorem for theBenchmark
% 1.73/0.59  % SZS output start Proof for theBenchmark
% See solution above
% 1.73/0.59  % (12190)------------------------------
% 1.73/0.59  % (12190)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.73/0.59  % (12190)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.73/0.59  % (12190)Termination reason: Refutation
% 1.73/0.59  
% 1.73/0.59  % (12190)Memory used [KB]: 6012
% 1.73/0.59  % (12190)Time elapsed: 0.150 s
% 1.73/0.59  % (12190)Instructions burned: 5 (million)
% 1.73/0.59  % (12190)------------------------------
% 1.73/0.59  % (12190)------------------------------
% 1.73/0.59  % (12181)Success in time 0.226 s
%------------------------------------------------------------------------------