TSTP Solution File: PLA019-1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : PLA019-1 : TPTP v8.2.0. Released v1.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n019.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 : Tue May 21 02:21:27 EDT 2024

% Result   : Unsatisfiable 0.18s 0.41s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   21
%            Number of leaves      :   15
% Syntax   : Number of formulae    :   36 (  10 unt;   0 def)
%            Number of atoms       :  131 (   0 equ)
%            Maximal formula atoms :    9 (   3 avg)
%            Number of connectives :  211 ( 116   ~;  95   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   6 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :   11 (  11 usr;   5 con; 0-2 aty)
%            Number of variables   :   58 (  58   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f95,plain,
    $false,
    inference(subsumption_resolution,[],[f92,f21]) ).

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

fof(f92,plain,
    ~ differ(d,table),
    inference(resolution,[],[f89,f30]) ).

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

fof(f89,plain,
    ! [X0] :
      ( ~ holds(clear(X0),do(pickup(c),s0))
      | ~ differ(d,X0) ),
    inference(subsumption_resolution,[],[f88,f28]) ).

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

fof(f88,plain,
    ! [X0] :
      ( ~ holds(clear(X0),do(pickup(c),s0))
      | ~ differ(d,X0)
      | ~ holds(clear(c),s0) ),
    inference(subsumption_resolution,[],[f87,f24]) ).

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

fof(f87,plain,
    ! [X0] :
      ( ~ holds(clear(X0),do(pickup(c),s0))
      | ~ differ(d,X0)
      | ~ holds(on(c,d),s0)
      | ~ holds(clear(c),s0) ),
    inference(resolution,[],[f82,f29]) ).

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

fof(f82,plain,
    ! [X0,X1] :
      ( ~ holds(empty,X0)
      | ~ holds(clear(X1),do(pickup(c),X0))
      | ~ differ(d,X1)
      | ~ holds(on(c,d),X0)
      | ~ holds(clear(c),X0) ),
    inference(subsumption_resolution,[],[f81,f20]) ).

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

fof(f81,plain,
    ! [X0,X1] :
      ( ~ holds(clear(c),X0)
      | ~ holds(clear(X1),do(pickup(c),X0))
      | ~ differ(d,X1)
      | ~ holds(on(c,d),X0)
      | ~ holds(empty,X0)
      | ~ differ(c,table) ),
    inference(duplicate_literal_removal,[],[f80]) ).

fof(f80,plain,
    ! [X0,X1] :
      ( ~ holds(clear(c),X0)
      | ~ holds(clear(X1),do(pickup(c),X0))
      | ~ differ(d,X1)
      | ~ holds(on(c,d),X0)
      | ~ holds(empty,X0)
      | ~ holds(empty,X0)
      | ~ holds(clear(c),X0)
      | ~ differ(c,table) ),
    inference(resolution,[],[f79,f2]) ).

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

fof(f79,plain,
    ! [X0,X1] :
      ( ~ holds(holding(c),do(pickup(c),X0))
      | ~ holds(clear(c),X0)
      | ~ holds(clear(X1),do(pickup(c),X0))
      | ~ differ(d,X1)
      | ~ holds(on(c,d),X0)
      | ~ holds(empty,X0) ),
    inference(subsumption_resolution,[],[f78,f20]) ).

fof(f78,plain,
    ! [X0,X1] :
      ( ~ holds(empty,X0)
      | ~ holds(clear(c),X0)
      | ~ differ(c,table)
      | ~ holds(clear(X1),do(pickup(c),X0))
      | ~ differ(d,X1)
      | ~ holds(on(c,d),X0)
      | ~ holds(holding(c),do(pickup(c),X0)) ),
    inference(duplicate_literal_removal,[],[f77]) ).

fof(f77,plain,
    ! [X0,X1] :
      ( ~ holds(empty,X0)
      | ~ holds(clear(c),X0)
      | ~ differ(c,table)
      | ~ holds(clear(X1),do(pickup(c),X0))
      | ~ differ(d,X1)
      | ~ holds(on(c,d),X0)
      | ~ holds(clear(X1),do(pickup(c),X0))
      | ~ holds(holding(c),do(pickup(c),X0)) ),
    inference(resolution,[],[f74,f8]) ).

fof(f8,axiom,
    ! [X2,X0,X1] :
      ( holds(clear(X0),do(putdown(X0,X1),X2))
      | ~ holds(clear(X1),X2)
      | ~ holds(holding(X0),X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',putdown_3) ).

fof(f74,plain,
    ! [X2,X0,X1] :
      ( ~ holds(clear(c),do(putdown(X0,X1),do(pickup(X0),X2)))
      | ~ holds(empty,X2)
      | ~ holds(clear(X0),X2)
      | ~ differ(X0,table)
      | ~ holds(clear(X1),do(pickup(X0),X2))
      | ~ differ(d,X1)
      | ~ holds(on(X0,d),X2) ),
    inference(duplicate_literal_removal,[],[f72]) ).

fof(f72,plain,
    ! [X2,X0,X1] :
      ( ~ holds(clear(c),do(putdown(X0,X1),do(pickup(X0),X2)))
      | ~ holds(empty,X2)
      | ~ holds(clear(X0),X2)
      | ~ differ(X0,table)
      | ~ holds(clear(X1),do(pickup(X0),X2))
      | ~ differ(d,X1)
      | ~ holds(clear(X0),X2)
      | ~ holds(on(X0,d),X2)
      | ~ holds(empty,X2) ),
    inference(resolution,[],[f65,f3]) ).

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

fof(f65,plain,
    ! [X2,X0,X1] :
      ( ~ holds(clear(d),do(pickup(X1),X2))
      | ~ holds(clear(c),do(putdown(X1,X0),do(pickup(X1),X2)))
      | ~ holds(empty,X2)
      | ~ holds(clear(X1),X2)
      | ~ differ(X1,table)
      | ~ holds(clear(X0),do(pickup(X1),X2))
      | ~ differ(d,X0) ),
    inference(resolution,[],[f64,f10]) ).

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

fof(f64,plain,
    ! [X2,X0,X1] :
      ( ~ holds(clear(d),do(putdown(X0,X1),do(pickup(X0),X2)))
      | ~ holds(clear(X1),do(pickup(X0),X2))
      | ~ holds(clear(c),do(putdown(X0,X1),do(pickup(X0),X2)))
      | ~ holds(empty,X2)
      | ~ holds(clear(X0),X2)
      | ~ differ(X0,table) ),
    inference(resolution,[],[f61,f2]) ).

fof(f61,plain,
    ! [X2,X0,X1] :
      ( ~ holds(holding(X0),X2)
      | ~ holds(clear(c),do(putdown(X0,X1),X2))
      | ~ holds(clear(X1),X2)
      | ~ holds(clear(d),do(putdown(X0,X1),X2)) ),
    inference(resolution,[],[f60,f6]) ).

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

fof(f60,plain,
    ! [X0] :
      ( ~ holds(empty,X0)
      | ~ holds(clear(d),X0)
      | ~ holds(clear(c),X0) ),
    inference(subsumption_resolution,[],[f58,f19]) ).

fof(f19,axiom,
    differ(c,d),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',differ_c_d) ).

fof(f58,plain,
    ! [X0] :
      ( ~ holds(empty,X0)
      | ~ holds(clear(d),X0)
      | ~ holds(clear(c),X0)
      | ~ differ(c,d) ),
    inference(resolution,[],[f56,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(f56,plain,
    ! [X0] :
      ( ~ holds(clear(c),do(pickup(d),X0))
      | ~ holds(empty,X0)
      | ~ holds(clear(d),X0) ),
    inference(subsumption_resolution,[],[f55,f21]) ).

fof(f55,plain,
    ! [X0] :
      ( ~ holds(clear(c),do(pickup(d),X0))
      | ~ holds(empty,X0)
      | ~ holds(clear(d),X0)
      | ~ differ(d,table) ),
    inference(resolution,[],[f54,f2]) ).

fof(f54,plain,
    ! [X0] :
      ( ~ holds(holding(d),X0)
      | ~ holds(clear(c),X0) ),
    inference(resolution,[],[f7,f31]) ).

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

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.15  % Problem    : PLA019-1 : TPTP v8.2.0. Released v1.1.0.
% 0.15/0.17  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.18/0.38  % Computer : n019.cluster.edu
% 0.18/0.38  % Model    : x86_64 x86_64
% 0.18/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.38  % Memory   : 8042.1875MB
% 0.18/0.38  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.18/0.38  % CPULimit   : 300
% 0.18/0.38  % WCLimit    : 300
% 0.18/0.38  % DateTime   : Sat May 18 13:44:53 EDT 2024
% 0.18/0.38  % CPUTime    : 
% 0.18/0.39  % (6929)Running in auto input_syntax mode. Trying TPTP
% 0.18/0.40  % (6932)dis-2_2:3_amm=sco:anc=none:bce=on:fsr=off:gsp=on:nm=16:nwc=1.2:nicw=on:sac=on:sp=weighted_frequency_476 on theBenchmark for (476ds/0Mi)
% 0.18/0.40  % (6930)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.18/0.40  % (6931)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.18/0.40  % (6933)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.18/0.40  % (6934)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.18/0.40  % (6936)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on theBenchmark for (1451ds/0Mi)
% 0.18/0.40  % (6935)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.18/0.41  TRYING [1]
% 0.18/0.41  TRYING [1]
% 0.18/0.41  Detected minimum model sizes of [1,1,1,1]
% 0.18/0.41  Detected maximum model sizes of [max,5,max,max]
% 0.18/0.41  Detected minimum model sizes of [1,1,1,1]
% 0.18/0.41  Detected maximum model sizes of [max,5,max,max]
% 0.18/0.41  TRYING [2]
% 0.18/0.41  TRYING [1,1,1,1]
% 0.18/0.41  TRYING [1,1,1,1]
% 0.18/0.41  TRYING [2]
% 0.18/0.41  TRYING [2,1,1,1]
% 0.18/0.41  TRYING [2,1,1,1]
% 0.18/0.41  % (6935)First to succeed.
% 0.18/0.41  % (6932)Also succeeded, but the first one will report.
% 0.18/0.41  TRYING [3,1,1,1]
% 0.18/0.41  TRYING [3,1,1,1]
% 0.18/0.41  % (6935)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-6929"
% 0.18/0.41  % (6935)Refutation found. Thanks to Tanya!
% 0.18/0.41  % SZS status Unsatisfiable for theBenchmark
% 0.18/0.41  % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.41  % (6935)------------------------------
% 0.18/0.41  % (6935)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.18/0.41  % (6935)Termination reason: Refutation
% 0.18/0.41  
% 0.18/0.41  % (6935)Memory used [KB]: 803
% 0.18/0.41  % (6935)Time elapsed: 0.006 s
% 0.18/0.41  % (6935)Instructions burned: 8 (million)
% 0.18/0.41  % (6929)Success in time 0.021 s
%------------------------------------------------------------------------------