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

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---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_sat --cores 0 -t %d %s

% Computer : n018.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 18:09:20 EDT 2022

% Result   : Unsatisfiable 0.20s 0.52s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :   14
% Syntax   : Number of formulae    :   28 (  10 unt;   0 def)
%            Number of atoms       :   71 (   0 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :   99 (  56   ~;  43   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 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   :   33 (  33   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f97,plain,
    $false,
    inference(subsumption_resolution,[],[f96,f26]) ).

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

fof(f96,plain,
    ~ holds(clear(a),s0),
    inference(subsumption_resolution,[],[f95,f28]) ).

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

fof(f95,plain,
    ( ~ holds(clear(c),s0)
    | ~ holds(clear(a),s0) ),
    inference(subsumption_resolution,[],[f92,f29]) ).

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

fof(f92,plain,
    ( ~ holds(empty,s0)
    | ~ holds(clear(c),s0)
    | ~ holds(clear(a),s0) ),
    inference(resolution,[],[f88,f24]) ).

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

fof(f88,plain,
    ! [X1] :
      ( ~ holds(on(c,d),X1)
      | ~ holds(clear(a),X1)
      | ~ holds(empty,X1)
      | ~ holds(clear(c),X1) ),
    inference(subsumption_resolution,[],[f86,f35]) ).

fof(f35,plain,
    differ(c,a),
    inference(resolution,[],[f11,f13]) ).

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

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

fof(f86,plain,
    ! [X1] :
      ( ~ holds(clear(c),X1)
      | ~ holds(clear(a),X1)
      | ~ differ(c,a)
      | ~ holds(empty,X1)
      | ~ holds(on(c,d),X1) ),
    inference(resolution,[],[f84,f5]) ).

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

fof(f84,plain,
    ! [X0] :
      ( ~ holds(clear(c),do(pickup(a),X0))
      | ~ holds(empty,X0)
      | ~ holds(clear(a),X0)
      | ~ holds(on(c,d),X0) ),
    inference(subsumption_resolution,[],[f83,f15]) ).

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

fof(f83,plain,
    ! [X0] :
      ( ~ holds(on(c,d),X0)
      | ~ holds(clear(c),do(pickup(a),X0))
      | ~ holds(empty,X0)
      | ~ differ(a,table)
      | ~ holds(clear(a),X0) ),
    inference(subsumption_resolution,[],[f82,f35]) ).

fof(f82,plain,
    ! [X0] :
      ( ~ holds(empty,X0)
      | ~ differ(c,a)
      | ~ holds(clear(a),X0)
      | ~ holds(clear(c),do(pickup(a),X0))
      | ~ differ(a,table)
      | ~ holds(on(c,d),X0) ),
    inference(resolution,[],[f67,f2]) ).

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

fof(f67,plain,
    ! [X4,X5] :
      ( ~ holds(holding(a),do(pickup(X4),X5))
      | ~ holds(on(c,d),X5)
      | ~ differ(c,X4)
      | ~ holds(clear(c),do(pickup(X4),X5)) ),
    inference(resolution,[],[f64,f4]) ).

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

fof(f64,plain,
    ! [X0] :
      ( ~ holds(on(c,d),X0)
      | ~ holds(clear(c),X0)
      | ~ holds(holding(a),X0) ),
    inference(resolution,[],[f60,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(f60,plain,
    ! [X1] :
      ( ~ holds(on(c,d),do(putdown(a,c),X1))
      | ~ holds(holding(a),X1)
      | ~ holds(clear(c),X1) ),
    inference(resolution,[],[f7,f54]) ).

fof(f54,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(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/sandbox/benchmark/theBenchmark.p',putdown_2) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem    : PLA022-1 : TPTP v8.1.0. Released v1.1.0.
% 0.12/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.35  % Computer : n018.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Tue Aug 30 10:11:40 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 0.20/0.50  % (1847)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)
% 0.20/0.51  % (1856)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.51  % (1857)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.51  % (1852)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.51  % (1865)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.20/0.52  % (1872)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.20/0.52  % (1864)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.52  TRYING [1]
% 0.20/0.52  TRYING [1]
% 0.20/0.52  TRYING [2]
% 0.20/0.52  % (1864)First to succeed.
% 0.20/0.52  % (1856)Instruction limit reached!
% 0.20/0.52  % (1856)------------------------------
% 0.20/0.52  % (1856)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52  % (1856)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52  % (1856)Termination reason: Unknown
% 0.20/0.52  % (1856)Termination phase: Blocked clause elimination
% 0.20/0.52  
% 0.20/0.52  % (1856)Memory used [KB]: 895
% 0.20/0.52  % (1856)Time elapsed: 0.003 s
% 0.20/0.52  % (1856)Instructions burned: 2 (million)
% 0.20/0.52  % (1856)------------------------------
% 0.20/0.52  % (1856)------------------------------
% 0.20/0.52  TRYING [3]
% 0.20/0.52  % (1864)Refutation found. Thanks to Tanya!
% 0.20/0.52  % SZS status Unsatisfiable for theBenchmark
% 0.20/0.52  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.52  % (1864)------------------------------
% 0.20/0.52  % (1864)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52  % (1864)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52  % (1864)Termination reason: Refutation
% 0.20/0.52  
% 0.20/0.52  % (1864)Memory used [KB]: 5500
% 0.20/0.52  % (1864)Time elapsed: 0.117 s
% 0.20/0.52  % (1864)Instructions burned: 4 (million)
% 0.20/0.52  % (1864)------------------------------
% 0.20/0.52  % (1864)------------------------------
% 0.20/0.52  % (1846)Success in time 0.165 s
%------------------------------------------------------------------------------