TSTP Solution File: PLA007-1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : PLA007-1 : 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 : n023.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 18:08:30 EDT 2022

% Result   : Unsatisfiable 0.20s 0.49s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   21
%            Number of leaves      :   18
% Syntax   : Number of formulae    :   39 (  13 unt;   0 def)
%            Number of atoms       :  129 (   0 equ)
%            Maximal formula atoms :    8 (   3 avg)
%            Number of connectives :  201 ( 111   ~;  90   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :   12 (  12 usr;   6 con; 0-2 aty)
%            Number of variables   :   50 (  50   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f147,plain,
    $false,
    inference(unit_resulting_resolution,[],[f14,f141,f11]) ).

fof(f11,axiom,
    ! [X0,X1] :
      ( ~ differ(X1,X0)
      | differ(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',symmetry_of_differ) ).

fof(f141,plain,
    ~ differ(d,a),
    inference(subsumption_resolution,[],[f140,f28]) ).

fof(f28,axiom,
    holds(clear(c),s0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',initial_state7) ).

fof(f140,plain,
    ( ~ holds(clear(c),s0)
    | ~ differ(d,a) ),
    inference(subsumption_resolution,[],[f139,f13]) ).

fof(f13,axiom,
    differ(a,c),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',differ_a_c) ).

fof(f139,plain,
    ( ~ differ(a,c)
    | ~ holds(clear(c),s0)
    | ~ differ(d,a) ),
    inference(subsumption_resolution,[],[f138,f29]) ).

fof(f29,axiom,
    holds(empty,s0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',initial_state8) ).

fof(f138,plain,
    ( ~ holds(empty,s0)
    | ~ differ(a,c)
    | ~ differ(d,a)
    | ~ holds(clear(c),s0) ),
    inference(subsumption_resolution,[],[f137,f26]) ).

fof(f26,axiom,
    holds(clear(a),s0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',initial_state5) ).

fof(f137,plain,
    ( ~ holds(clear(a),s0)
    | ~ holds(clear(c),s0)
    | ~ differ(d,a)
    | ~ holds(empty,s0)
    | ~ differ(a,c) ),
    inference(subsumption_resolution,[],[f134,f20]) ).

fof(f20,axiom,
    differ(c,table),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',differ_c_table) ).

fof(f134,plain,
    ( ~ differ(d,a)
    | ~ differ(c,table)
    | ~ holds(clear(c),s0)
    | ~ holds(empty,s0)
    | ~ differ(a,c)
    | ~ holds(clear(a),s0) ),
    inference(resolution,[],[f116,f24]) ).

fof(f24,axiom,
    holds(on(c,d),s0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',initial_state3) ).

fof(f116,plain,
    ! [X0,X1] :
      ( ~ holds(on(X0,d),X1)
      | ~ holds(clear(X0),X1)
      | ~ differ(d,a)
      | ~ differ(a,X0)
      | ~ differ(X0,table)
      | ~ holds(empty,X1)
      | ~ holds(clear(a),X1) ),
    inference(resolution,[],[f115,f5]) ).

fof(f5,axiom,
    ! [X2,X3,X0] :
      ( holds(clear(X0),do(pickup(X3),X2))
      | ~ holds(clear(X0),X2)
      | ~ differ(X0,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pickup_4) ).

fof(f115,plain,
    ! [X2,X3] :
      ( ~ holds(clear(a),do(pickup(X2),X3))
      | ~ holds(clear(X2),X3)
      | ~ differ(d,a)
      | ~ holds(empty,X3)
      | ~ differ(X2,table)
      | ~ holds(on(X2,d),X3) ),
    inference(duplicate_literal_removal,[],[f114]) ).

fof(f114,plain,
    ! [X2,X3] :
      ( ~ holds(clear(a),do(pickup(X2),X3))
      | ~ holds(empty,X3)
      | ~ holds(clear(X2),X3)
      | ~ differ(d,a)
      | ~ holds(on(X2,d),X3)
      | ~ holds(clear(X2),X3)
      | ~ holds(empty,X3)
      | ~ differ(X2,table) ),
    inference(resolution,[],[f93,f3]) ).

fof(f3,axiom,
    ! [X2,X0,X1] :
      ( holds(clear(X1),do(pickup(X0),X2))
      | ~ holds(empty,X2)
      | ~ holds(on(X0,X1),X2)
      | ~ holds(clear(X0),X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pickup_2) ).

fof(f93,plain,
    ! [X0,X1] :
      ( ~ holds(clear(d),do(pickup(X0),X1))
      | ~ holds(clear(X0),X1)
      | ~ holds(clear(a),do(pickup(X0),X1))
      | ~ differ(d,a)
      | ~ holds(empty,X1)
      | ~ differ(X0,table) ),
    inference(resolution,[],[f87,f2]) ).

fof(f2,axiom,
    ! [X2,X0] :
      ( holds(holding(X0),do(pickup(X0),X2))
      | ~ holds(clear(X0),X2)
      | ~ holds(empty,X2)
      | ~ differ(X0,table) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pickup_1) ).

fof(f87,plain,
    ! [X0,X1] :
      ( ~ holds(holding(X1),X0)
      | ~ holds(clear(a),X0)
      | ~ holds(clear(d),X0)
      | ~ differ(d,a) ),
    inference(subsumption_resolution,[],[f86,f21]) ).

fof(f21,axiom,
    differ(d,table),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',differ_d_table) ).

fof(f86,plain,
    ! [X0,X1] :
      ( ~ holds(clear(a),X0)
      | ~ holds(holding(X1),X0)
      | ~ differ(d,a)
      | ~ differ(d,table)
      | ~ holds(clear(d),X0) ),
    inference(subsumption_resolution,[],[f77,f15]) ).

fof(f15,axiom,
    differ(a,table),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',differ_a_table) ).

fof(f77,plain,
    ! [X0,X1] :
      ( ~ differ(a,table)
      | ~ differ(d,a)
      | ~ holds(clear(d),X0)
      | ~ holds(clear(a),X0)
      | ~ holds(holding(X1),X0)
      | ~ differ(d,table) ),
    inference(resolution,[],[f76,f30]) ).

fof(f30,axiom,
    ! [X2] : holds(clear(table),X2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clear_table) ).

fof(f76,plain,
    ! [X2,X0,X1] :
      ( ~ holds(clear(X1),X0)
      | ~ holds(clear(a),X0)
      | ~ differ(d,a)
      | ~ holds(clear(d),X0)
      | ~ differ(d,X1)
      | ~ differ(a,X1)
      | ~ holds(holding(X2),X0) ),
    inference(resolution,[],[f65,f6]) ).

fof(f6,axiom,
    ! [X2,X0,X1] :
      ( holds(empty,do(putdown(X0,X1),X2))
      | ~ holds(holding(X0),X2)
      | ~ holds(clear(X1),X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',putdown_1) ).

fof(f65,plain,
    ! [X2,X0,X1] :
      ( ~ holds(empty,do(putdown(X1,X2),X0))
      | ~ differ(d,a)
      | ~ holds(clear(a),X0)
      | ~ differ(a,X2)
      | ~ differ(d,X2)
      | ~ holds(clear(d),X0) ),
    inference(resolution,[],[f43,f10]) ).

fof(f10,axiom,
    ! [X2,X3,X0,X1] :
      ( holds(clear(X3),do(putdown(X0,X1),X2))
      | ~ differ(X3,X1)
      | ~ holds(clear(X3),X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',putdown_5) ).

fof(f43,plain,
    ! [X6,X4,X5] :
      ( ~ holds(clear(a),do(putdown(X4,X5),X6))
      | ~ holds(clear(d),X6)
      | ~ holds(empty,do(putdown(X4,X5),X6))
      | ~ differ(d,X5)
      | ~ differ(d,a) ),
    inference(resolution,[],[f40,f10]) ).

fof(f40,plain,
    ! [X0] :
      ( ~ holds(clear(d),X0)
      | ~ holds(clear(a),X0)
      | ~ differ(d,a)
      | ~ holds(empty,X0) ),
    inference(subsumption_resolution,[],[f39,f15]) ).

fof(f39,plain,
    ! [X0] :
      ( ~ differ(d,a)
      | ~ holds(clear(d),X0)
      | ~ differ(a,table)
      | ~ holds(clear(a),X0)
      | ~ holds(empty,X0) ),
    inference(resolution,[],[f35,f2]) ).

fof(f35,plain,
    ! [X0,X1] :
      ( ~ holds(holding(a),do(pickup(X0),X1))
      | ~ differ(d,X0)
      | ~ holds(clear(d),X1) ),
    inference(resolution,[],[f33,f5]) ).

fof(f33,plain,
    ! [X1] :
      ( ~ holds(clear(d),X1)
      | ~ holds(holding(a),X1) ),
    inference(resolution,[],[f31,f7]) ).

fof(f7,axiom,
    ! [X2,X0,X1] :
      ( holds(on(X0,X1),do(putdown(X0,X1),X2))
      | ~ holds(holding(X0),X2)
      | ~ holds(clear(X1),X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',putdown_2) ).

fof(f31,axiom,
    ! [X2] : ~ holds(on(a,d),X2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_AD) ).

fof(f14,axiom,
    differ(a,d),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',differ_a_d) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem    : PLA007-1 : TPTP v8.1.0. Released v1.1.0.
% 0.10/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.33  % Computer : n023.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % 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 10:25:35 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.20/0.46  % (17040)lrs+1004_1:734_av=off:awrs=converge:awrsf=70:br=off:ep=RSTC:erd=off:gs=on:nwc=3.0:s2a=on:s2agt=16:sp=occurrence:updr=off:urr=on:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.20/0.47  % (17056)lrs+3_8:1_anc=none:erd=off:fsd=on:s2a=on:s2agt=16:sgt=16:sos=on:sp=frequency:ss=included:i=71:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/71Mi)
% 0.20/0.48  % (17040)Instruction limit reached!
% 0.20/0.48  % (17040)------------------------------
% 0.20/0.48  % (17040)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.48  % (17040)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.48  % (17040)Termination reason: Unknown
% 0.20/0.48  % (17040)Termination phase: Saturation
% 0.20/0.48  
% 0.20/0.48  % (17040)Memory used [KB]: 6012
% 0.20/0.48  % (17040)Time elapsed: 0.067 s
% 0.20/0.48  % (17040)Instructions burned: 7 (million)
% 0.20/0.48  % (17040)------------------------------
% 0.20/0.48  % (17040)------------------------------
% 0.20/0.48  % (17031)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)
% 0.20/0.48  % (17056)Refutation not found, incomplete strategy% (17056)------------------------------
% 0.20/0.48  % (17056)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.48  % (17056)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.48  % (17056)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.48  
% 0.20/0.48  % (17056)Memory used [KB]: 5884
% 0.20/0.48  % (17056)Time elapsed: 0.077 s
% 0.20/0.48  % (17056)Instructions burned: 2 (million)
% 0.20/0.48  % (17056)------------------------------
% 0.20/0.48  % (17056)------------------------------
% 0.20/0.48  % (17041)dis+4_1:1_bd=off:cond=fast:fde=unused:lcm=reverse:lma=on:nicw=on:nwc=2.0:s2a=on:s2agt=16:sac=on:sp=frequency:i=23:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/23Mi)
% 0.20/0.49  % (17031)First to succeed.
% 0.20/0.49  % (17031)Refutation found. Thanks to Tanya!
% 0.20/0.49  % SZS status Unsatisfiable for theBenchmark
% 0.20/0.49  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.49  % (17031)------------------------------
% 0.20/0.49  % (17031)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.49  % (17031)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.49  % (17031)Termination reason: Refutation
% 0.20/0.49  
% 0.20/0.49  % (17031)Memory used [KB]: 1407
% 0.20/0.49  % (17031)Time elapsed: 0.082 s
% 0.20/0.49  % (17031)Instructions burned: 10 (million)
% 0.20/0.49  % (17031)------------------------------
% 0.20/0.49  % (17031)------------------------------
% 0.20/0.49  % (17029)Success in time 0.145 s
%------------------------------------------------------------------------------