TSTP Solution File: PLA022-1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : PLA022-1 : TPTP v8.1.0. Released v1.1.0.
% 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 : n028.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 18:08:34 EDT 2022

% Result   : Unsatisfiable 1.33s 0.53s
% Output   : Refutation 1.33s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   14
% Syntax   : Number of formulae    :   26 (   8 unt;   0 def)
%            Number of atoms       :   76 (   0 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :  111 (  61   ~;  50   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   5 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :   13 (  13 usr;   6 con; 0-2 aty)
%            Number of variables   :   36 (  36   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f61,plain,
    $false,
    inference(unit_resulting_resolution,[],[f29,f26,f28,f24,f60]) ).

fof(f60,plain,
    ! [X0] :
      ( ~ holds(empty,X0)
      | ~ holds(on(c,d),X0)
      | ~ holds(clear(c),X0)
      | ~ holds(clear(a),X0) ),
    inference(subsumption_resolution,[],[f59,f13]) ).

fof(f13,axiom,
    differ(a,c),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',differ_a_c) ).

fof(f59,plain,
    ! [X0] :
      ( ~ holds(clear(a),X0)
      | ~ differ(a,c)
      | ~ holds(on(c,d),X0)
      | ~ holds(empty,X0)
      | ~ holds(clear(c),X0) ),
    inference(resolution,[],[f57,f11]) ).

fof(f11,axiom,
    ! [X0,X1] :
      ( differ(X0,X1)
      | ~ differ(X1,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',symmetry_of_differ) ).

fof(f57,plain,
    ! [X1] :
      ( ~ differ(c,a)
      | ~ holds(clear(a),X1)
      | ~ holds(empty,X1)
      | ~ holds(clear(c),X1)
      | ~ holds(on(c,d),X1) ),
    inference(resolution,[],[f55,f5]) ).

fof(f5,axiom,
    ! [X2,X3,X0] :
      ( holds(clear(X0),do(pickup(X3),X2))
      | ~ differ(X0,X3)
      | ~ holds(clear(X0),X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',pickup_4) ).

fof(f55,plain,
    ! [X0] :
      ( ~ holds(clear(c),do(pickup(a),X0))
      | ~ holds(on(c,d),X0)
      | ~ holds(clear(a),X0)
      | ~ holds(empty,X0) ),
    inference(subsumption_resolution,[],[f54,f13]) ).

fof(f54,plain,
    ! [X0] :
      ( ~ holds(clear(c),do(pickup(a),X0))
      | ~ differ(a,c)
      | ~ holds(empty,X0)
      | ~ holds(clear(a),X0)
      | ~ holds(on(c,d),X0) ),
    inference(resolution,[],[f53,f11]) ).

fof(f53,plain,
    ! [X0] :
      ( ~ differ(c,a)
      | ~ holds(clear(a),X0)
      | ~ holds(on(c,d),X0)
      | ~ holds(clear(c),do(pickup(a),X0))
      | ~ holds(empty,X0) ),
    inference(resolution,[],[f52,f4]) ).

fof(f4,axiom,
    ! [X2,X3,X0,X1] :
      ( holds(on(X0,X1),do(pickup(X3),X2))
      | ~ differ(X0,X3)
      | ~ holds(on(X0,X1),X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',pickup_3) ).

fof(f52,plain,
    ! [X0] :
      ( ~ holds(on(c,d),do(pickup(a),X0))
      | ~ holds(clear(a),X0)
      | ~ holds(empty,X0)
      | ~ holds(clear(c),do(pickup(a),X0)) ),
    inference(resolution,[],[f40,f9]) ).

fof(f9,axiom,
    ! [X2,X3,X0,X1,X4] :
      ( holds(on(X0,X1),do(putdown(X3,X4),X2))
      | ~ holds(on(X0,X1),X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',putdown_4) ).

fof(f40,plain,
    ! [X1] :
      ( ~ holds(on(c,d),do(putdown(a,c),do(pickup(a),X1)))
      | ~ holds(clear(c),do(pickup(a),X1))
      | ~ holds(clear(a),X1)
      | ~ holds(empty,X1) ),
    inference(subsumption_resolution,[],[f39,f15]) ).

fof(f15,axiom,
    differ(a,table),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',differ_a_table) ).

fof(f39,plain,
    ! [X1] :
      ( ~ holds(on(c,d),do(putdown(a,c),do(pickup(a),X1)))
      | ~ holds(clear(a),X1)
      | ~ differ(a,table)
      | ~ holds(empty,X1)
      | ~ holds(clear(c),do(pickup(a),X1)) ),
    inference(resolution,[],[f37,f32]) ).

fof(f32,plain,
    ! [X0] :
      ( ~ holds(on(a,c),X0)
      | ~ holds(on(c,d),X0) ),
    inference(resolution,[],[f1,f31]) ).

fof(f31,axiom,
    ! [X2] : ~ holds(and(on(c,d),on(a,c)),X2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_ACD) ).

fof(f1,axiom,
    ! [X2,X0,X1] :
      ( holds(and(X0,X1),X2)
      | ~ holds(X1,X2)
      | ~ holds(X0,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',and_definition) ).

fof(f37,plain,
    ! [X2,X0,X1] :
      ( holds(on(X0,X1),do(putdown(X0,X1),do(pickup(X0),X2)))
      | ~ holds(clear(X0),X2)
      | ~ differ(X0,table)
      | ~ holds(clear(X1),do(pickup(X0),X2))
      | ~ holds(empty,X2) ),
    inference(resolution,[],[f7,f2]) ).

fof(f2,axiom,
    ! [X2,X0] :
      ( holds(holding(X0),do(pickup(X0),X2))
      | ~ holds(empty,X2)
      | ~ differ(X0,table)
      | ~ holds(clear(X0),X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',pickup_1) ).

fof(f7,axiom,
    ! [X2,X0,X1] :
      ( ~ holds(holding(X0),X2)
      | holds(on(X0,X1),do(putdown(X0,X1),X2))
      | ~ holds(clear(X1),X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',putdown_2) ).

fof(f24,axiom,
    holds(on(c,d),s0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',initial_state3) ).

fof(f28,axiom,
    holds(clear(c),s0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',initial_state7) ).

fof(f26,axiom,
    holds(clear(a),s0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',initial_state5) ).

fof(f29,axiom,
    holds(empty,s0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',initial_state8) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12  % Problem    : PLA022-1 : TPTP v8.1.0. Released v1.1.0.
% 0.08/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34  % Computer : n028.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Tue Aug 30 10:16:48 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.19/0.50  % (24973)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=97:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/97Mi)
% 0.19/0.50  % (24965)dis+1011_3:29_av=off:awrs=decay:awrsf=32:bce=on:drc=off:fde=unused:gsp=on:irw=on:nwc=2.0:spb=goal_then_units:updr=off:urr=ec_only:i=29:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/29Mi)
% 0.19/0.50  % (24957)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 1.33/0.52  % (24952)dis+21_1:1_av=off:fd=off:lcm=predicate:sos=on:spb=goal:urr=ec_only:i=42:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/42Mi)
% 1.33/0.52  % (24965)First to succeed.
% 1.33/0.52  % (24953)lrs+10_1:16_awrs=converge:awrsf=40:br=off:ep=RSTC:flr=on:gsp=on:nwc=3.0:sos=on:urr=on:i=4:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 1.33/0.52  % (24953)Refutation not found, incomplete strategy% (24953)------------------------------
% 1.33/0.52  % (24953)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.33/0.52  % (24953)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.33/0.52  % (24953)Termination reason: Refutation not found, incomplete strategy
% 1.33/0.52  
% 1.33/0.52  % (24953)Memory used [KB]: 5884
% 1.33/0.52  % (24953)Time elapsed: 0.123 s
% 1.33/0.52  % (24953)------------------------------
% 1.33/0.52  % (24953)------------------------------
% 1.33/0.52  % (24952)Also succeeded, but the first one will report.
% 1.33/0.53  % (24965)Refutation found. Thanks to Tanya!
% 1.33/0.53  % SZS status Unsatisfiable for theBenchmark
% 1.33/0.53  % SZS output start Proof for theBenchmark
% See solution above
% 1.33/0.53  % (24965)------------------------------
% 1.33/0.53  % (24965)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.33/0.53  % (24965)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.33/0.53  % (24965)Termination reason: Refutation
% 1.33/0.53  
% 1.33/0.53  % (24965)Memory used [KB]: 1407
% 1.33/0.53  % (24965)Time elapsed: 0.058 s
% 1.33/0.53  % (24965)Instructions burned: 7 (million)
% 1.33/0.53  % (24965)------------------------------
% 1.33/0.53  % (24965)------------------------------
% 1.33/0.53  % (24950)Success in time 0.171 s
%------------------------------------------------------------------------------