TSTP Solution File: PLA014-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : PLA014-1 : 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_sat --cores 0 -t %d %s

% Computer : n003.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 18:09:18 EDT 2022

% Result   : Unsatisfiable 0.17s 0.52s
% Output   : Refutation 0.17s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   24
%            Number of leaves      :   20
% Syntax   : Number of formulae    :   46 (  14 unt;   0 def)
%            Number of atoms       :  133 (   0 equ)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :  198 ( 111   ~;  87   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   5 avg)
%            Maximal term depth    :    3 (   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   :   60 (  60   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f108,plain,
    $false,
    inference(subsumption_resolution,[],[f107,f29]) ).

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

fof(f107,plain,
    ~ holds(empty,s0),
    inference(subsumption_resolution,[],[f106,f27]) ).

fof(f27,axiom,
    holds(clear(b),s0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',initial_state6) ).

fof(f106,plain,
    ( ~ holds(clear(b),s0)
    | ~ holds(empty,s0) ),
    inference(subsumption_resolution,[],[f104,f26]) ).

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

fof(f104,plain,
    ( ~ holds(clear(a),s0)
    | ~ holds(clear(b),s0)
    | ~ holds(empty,s0) ),
    inference(resolution,[],[f99,f28]) ).

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

fof(f99,plain,
    ! [X0] :
      ( ~ holds(clear(c),X0)
      | ~ holds(empty,X0)
      | ~ holds(clear(a),X0)
      | ~ holds(clear(b),X0) ),
    inference(subsumption_resolution,[],[f98,f36]) ).

fof(f36,plain,
    differ(c,b),
    inference(resolution,[],[f11,f16]) ).

fof(f16,axiom,
    differ(b,c),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',differ_b_c) ).

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

fof(f98,plain,
    ! [X0] :
      ( ~ holds(clear(a),X0)
      | ~ holds(clear(c),X0)
      | ~ holds(clear(b),X0)
      | ~ holds(empty,X0)
      | ~ differ(c,b) ),
    inference(subsumption_resolution,[],[f97,f12]) ).

fof(f12,axiom,
    differ(a,b),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',differ_a_b) ).

fof(f97,plain,
    ! [X0] :
      ( ~ holds(clear(b),X0)
      | ~ holds(empty,X0)
      | ~ differ(a,b)
      | ~ differ(c,b)
      | ~ holds(clear(a),X0)
      | ~ holds(clear(c),X0) ),
    inference(subsumption_resolution,[],[f96,f18]) ).

fof(f18,axiom,
    differ(b,table),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',differ_b_table) ).

fof(f96,plain,
    ! [X0] :
      ( ~ differ(b,table)
      | ~ holds(clear(a),X0)
      | ~ differ(a,b)
      | ~ holds(clear(b),X0)
      | ~ holds(clear(c),X0)
      | ~ holds(empty,X0)
      | ~ differ(c,b) ),
    inference(resolution,[],[f95,f2]) ).

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

fof(f95,plain,
    ! [X2,X3] :
      ( ~ holds(holding(b),do(pickup(X3),X2))
      | ~ holds(clear(a),X2)
      | ~ holds(clear(c),X2)
      | ~ differ(a,X3)
      | ~ differ(c,X3) ),
    inference(resolution,[],[f89,f5]) ).

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

fof(f89,plain,
    ! [X2,X3] :
      ( ~ holds(clear(a),do(pickup(X2),X3))
      | ~ holds(clear(c),X3)
      | ~ differ(c,X2)
      | ~ holds(holding(b),do(pickup(X2),X3)) ),
    inference(resolution,[],[f87,f5]) ).

fof(f87,plain,
    ! [X0] :
      ( ~ holds(clear(c),X0)
      | ~ holds(holding(b),X0)
      | ~ holds(clear(a),X0) ),
    inference(subsumption_resolution,[],[f86,f13]) ).

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

fof(f86,plain,
    ! [X0] :
      ( ~ holds(holding(b),X0)
      | ~ differ(a,c)
      | ~ holds(clear(a),X0)
      | ~ holds(clear(c),X0) ),
    inference(resolution,[],[f85,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(f85,plain,
    ! [X3] :
      ( ~ holds(clear(a),do(putdown(b,c),X3))
      | ~ holds(holding(b),X3)
      | ~ holds(clear(c),X3) ),
    inference(subsumption_resolution,[],[f84,f8]) ).

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

fof(f84,plain,
    ! [X3] :
      ( ~ holds(clear(b),do(putdown(b,c),X3))
      | ~ holds(holding(b),X3)
      | ~ holds(clear(c),X3)
      | ~ holds(clear(a),do(putdown(b,c),X3)) ),
    inference(subsumption_resolution,[],[f82,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(f82,plain,
    ! [X3] :
      ( ~ holds(clear(a),do(putdown(b,c),X3))
      | ~ holds(clear(c),X3)
      | ~ holds(holding(b),X3)
      | ~ holds(empty,do(putdown(b,c),X3))
      | ~ holds(clear(b),do(putdown(b,c),X3)) ),
    inference(resolution,[],[f78,f7]) ).

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) ).

fof(f78,plain,
    ! [X0] :
      ( ~ holds(on(b,c),X0)
      | ~ holds(clear(b),X0)
      | ~ holds(empty,X0)
      | ~ holds(clear(a),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] :
      ( ~ holds(empty,X0)
      | ~ holds(clear(b),X0)
      | ~ differ(a,table)
      | ~ holds(on(b,c),X0)
      | ~ holds(clear(a),X0) ),
    inference(subsumption_resolution,[],[f76,f33]) ).

fof(f33,plain,
    differ(b,a),
    inference(resolution,[],[f11,f12]) ).

fof(f76,plain,
    ! [X0] :
      ( ~ holds(clear(b),X0)
      | ~ differ(b,a)
      | ~ holds(on(b,c),X0)
      | ~ holds(empty,X0)
      | ~ differ(a,table)
      | ~ holds(clear(a),X0) ),
    inference(resolution,[],[f73,f2]) ).

fof(f73,plain,
    ! [X2,X3] :
      ( ~ holds(holding(a),do(pickup(X3),X2))
      | ~ holds(clear(b),X2)
      | ~ differ(b,X3)
      | ~ holds(on(b,c),X2) ),
    inference(duplicate_literal_removal,[],[f72]) ).

fof(f72,plain,
    ! [X2,X3] :
      ( ~ holds(on(b,c),X2)
      | ~ holds(holding(a),do(pickup(X3),X2))
      | ~ differ(b,X3)
      | ~ differ(b,X3)
      | ~ holds(clear(b),X2) ),
    inference(resolution,[],[f60,f5]) ).

fof(f60,plain,
    ! [X4,X5] :
      ( ~ holds(clear(b),do(pickup(X4),X5))
      | ~ holds(on(b,c),X5)
      | ~ holds(holding(a),do(pickup(X4),X5))
      | ~ differ(b,X4) ),
    inference(resolution,[],[f57,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/sandbox2/benchmark/theBenchmark.p',pickup_3) ).

fof(f57,plain,
    ! [X1] :
      ( ~ holds(on(b,c),X1)
      | ~ holds(holding(a),X1)
      | ~ holds(clear(b),X1) ),
    inference(resolution,[],[f53,f7]) ).

fof(f53,plain,
    ! [X2,X0,X1] :
      ( ~ holds(on(a,b),do(putdown(X0,X1),X2))
      | ~ holds(on(b,c),X2) ),
    inference(resolution,[],[f43,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/sandbox2/benchmark/theBenchmark.p',putdown_4) ).

fof(f43,plain,
    ! [X0] :
      ( ~ holds(on(b,c),X0)
      | ~ holds(on(a,b),X0) ),
    inference(resolution,[],[f1,f31]) ).

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

fof(f1,axiom,
    ! [X2,X0,X1] :
      ( holds(and(X0,X1),X2)
      | ~ holds(X1,X2)
      | ~ holds(X0,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',and_definition) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11  % Problem    : PLA014-1 : TPTP v8.1.0. Released v1.1.0.
% 0.07/0.11  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.10/0.32  % Computer : n003.cluster.edu
% 0.10/0.32  % Model    : x86_64 x86_64
% 0.10/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32  % Memory   : 8042.1875MB
% 0.10/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32  % CPULimit   : 300
% 0.10/0.32  % WCLimit    : 300
% 0.10/0.32  % DateTime   : Tue Aug 30 10:07:37 EDT 2022
% 0.10/0.32  % CPUTime    : 
% 0.17/0.48  % (32695)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.17/0.49  % (32713)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.17/0.49  % (32705)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.17/0.49  % (32712)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.17/0.50  TRYING [1]
% 0.17/0.50  TRYING [2]
% 0.17/0.50  TRYING [3]
% 0.17/0.50  % (32696)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.17/0.50  % (32704)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.17/0.51  % (32689)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.17/0.51  % (32696)First to succeed.
% 0.17/0.52  % (32691)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.17/0.52  % (32692)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.17/0.52  % (32696)Refutation found. Thanks to Tanya!
% 0.17/0.52  % SZS status Unsatisfiable for theBenchmark
% 0.17/0.52  % SZS output start Proof for theBenchmark
% See solution above
% 0.17/0.52  % (32696)------------------------------
% 0.17/0.52  % (32696)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.52  % (32696)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.52  % (32696)Termination reason: Refutation
% 0.17/0.52  
% 0.17/0.52  % (32696)Memory used [KB]: 5500
% 0.17/0.52  % (32696)Time elapsed: 0.081 s
% 0.17/0.52  % (32696)Instructions burned: 5 (million)
% 0.17/0.52  % (32696)------------------------------
% 0.17/0.52  % (32696)------------------------------
% 0.17/0.52  % (32688)Success in time 0.194 s
%------------------------------------------------------------------------------