TSTP Solution File: PLA019-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : PLA019-1 : 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 : n026.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 18:09:19 EDT 2022

% Result   : Unsatisfiable 0.19s 0.56s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   22
%            Number of leaves      :   16
% Syntax   : Number of formulae    :   39 (  12 unt;   0 def)
%            Number of atoms       :  136 (   1 equ)
%            Maximal formula atoms :    9 (   3 avg)
%            Number of connectives :  216 ( 119   ~;  97   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   6 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :   12 (  12 usr;   6 con; 0-2 aty)
%            Number of variables   :   60 (  60   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f105,plain,
    $false,
    inference(subsumption_resolution,[],[f104,f21]) ).

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

fof(f104,plain,
    ~ differ(d,table),
    inference(resolution,[],[f99,f30]) ).

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

fof(f99,plain,
    ! [X4] :
      ( ~ holds(clear(X4),do(pickup(c),s0))
      | ~ differ(d,X4) ),
    inference(subsumption_resolution,[],[f98,f24]) ).

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

fof(f98,plain,
    ! [X4] :
      ( ~ holds(on(c,d),s0)
      | ~ differ(d,X4)
      | ~ holds(clear(X4),do(pickup(c),s0)) ),
    inference(subsumption_resolution,[],[f97,f28]) ).

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

fof(f97,plain,
    ! [X4] :
      ( ~ differ(d,X4)
      | ~ holds(clear(c),s0)
      | ~ holds(on(c,d),s0)
      | ~ holds(clear(X4),do(pickup(c),s0)) ),
    inference(resolution,[],[f86,f29]) ).

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

fof(f86,plain,
    ! [X0,X1] :
      ( ~ holds(empty,X1)
      | ~ holds(on(c,d),X1)
      | ~ holds(clear(X0),do(pickup(c),X1))
      | ~ holds(clear(c),X1)
      | ~ differ(d,X0) ),
    inference(subsumption_resolution,[],[f85,f20]) ).

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

fof(f85,plain,
    ! [X0,X1] :
      ( ~ holds(clear(c),X1)
      | ~ differ(c,table)
      | ~ holds(empty,X1)
      | ~ holds(clear(X0),do(pickup(c),X1))
      | ~ differ(d,X0)
      | ~ holds(on(c,d),X1) ),
    inference(duplicate_literal_removal,[],[f84]) ).

fof(f84,plain,
    ! [X0,X1] :
      ( ~ differ(d,X0)
      | ~ holds(clear(c),X1)
      | ~ holds(clear(X0),do(pickup(c),X1))
      | ~ holds(empty,X1)
      | ~ differ(c,table)
      | ~ holds(on(c,d),X1)
      | ~ holds(empty,X1)
      | ~ holds(clear(c),X1) ),
    inference(resolution,[],[f83,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/sandbox/benchmark/theBenchmark.p',pickup_1) ).

fof(f83,plain,
    ! [X3,X4] :
      ( ~ holds(holding(c),do(pickup(c),X3))
      | ~ holds(clear(X4),do(pickup(c),X3))
      | ~ differ(d,X4)
      | ~ holds(clear(c),X3)
      | ~ holds(empty,X3)
      | ~ holds(on(c,d),X3) ),
    inference(subsumption_resolution,[],[f82,f20]) ).

fof(f82,plain,
    ! [X3,X4] :
      ( ~ holds(holding(c),do(pickup(c),X3))
      | ~ differ(c,table)
      | ~ holds(empty,X3)
      | ~ holds(clear(X4),do(pickup(c),X3))
      | ~ differ(d,X4)
      | ~ holds(on(c,d),X3)
      | ~ holds(clear(c),X3) ),
    inference(duplicate_literal_removal,[],[f81]) ).

fof(f81,plain,
    ! [X3,X4] :
      ( ~ holds(clear(X4),do(pickup(c),X3))
      | ~ differ(d,X4)
      | ~ holds(on(c,d),X3)
      | ~ differ(c,table)
      | ~ holds(holding(c),do(pickup(c),X3))
      | ~ holds(clear(X4),do(pickup(c),X3))
      | ~ holds(empty,X3)
      | ~ holds(clear(c),X3) ),
    inference(resolution,[],[f79,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/sandbox/benchmark/theBenchmark.p',putdown_3) ).

fof(f79,plain,
    ! [X2,X0,X1] :
      ( ~ holds(clear(c),do(putdown(X1,X0),do(pickup(X1),X2)))
      | ~ differ(X1,table)
      | ~ holds(clear(X1),X2)
      | ~ differ(d,X0)
      | ~ holds(on(X1,d),X2)
      | ~ holds(empty,X2)
      | ~ holds(clear(X0),do(pickup(X1),X2)) ),
    inference(duplicate_literal_removal,[],[f77]) ).

fof(f77,plain,
    ! [X2,X0,X1] :
      ( ~ differ(d,X0)
      | ~ holds(clear(X1),X2)
      | ~ differ(X1,table)
      | ~ holds(empty,X2)
      | ~ holds(clear(X0),do(pickup(X1),X2))
      | ~ holds(on(X1,d),X2)
      | ~ holds(clear(X1),X2)
      | ~ holds(clear(c),do(putdown(X1,X0),do(pickup(X1),X2)))
      | ~ holds(empty,X2) ),
    inference(resolution,[],[f69,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/sandbox/benchmark/theBenchmark.p',pickup_2) ).

fof(f69,plain,
    ! [X2,X0,X1] :
      ( ~ holds(clear(d),do(pickup(X0),X2))
      | ~ differ(d,X1)
      | ~ differ(X0,table)
      | ~ holds(clear(X0),X2)
      | ~ holds(empty,X2)
      | ~ holds(clear(c),do(putdown(X0,X1),do(pickup(X0),X2)))
      | ~ holds(clear(X1),do(pickup(X0),X2)) ),
    inference(resolution,[],[f68,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/sandbox/benchmark/theBenchmark.p',putdown_5) ).

fof(f68,plain,
    ! [X2,X0,X1] :
      ( ~ holds(clear(d),do(putdown(X0,X1),do(pickup(X0),X2)))
      | ~ holds(clear(c),do(putdown(X0,X1),do(pickup(X0),X2)))
      | ~ holds(clear(X1),do(pickup(X0),X2))
      | ~ holds(empty,X2)
      | ~ differ(X0,table)
      | ~ holds(clear(X0),X2) ),
    inference(resolution,[],[f63,f2]) ).

fof(f63,plain,
    ! [X2,X0,X1] :
      ( ~ holds(holding(X0),X2)
      | ~ holds(clear(c),do(putdown(X0,X1),X2))
      | ~ holds(clear(d),do(putdown(X0,X1),X2))
      | ~ holds(clear(X1),X2) ),
    inference(resolution,[],[f61,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/sandbox/benchmark/theBenchmark.p',putdown_1) ).

fof(f61,plain,
    ! [X1] :
      ( ~ holds(empty,X1)
      | ~ holds(clear(c),X1)
      | ~ holds(clear(d),X1) ),
    inference(subsumption_resolution,[],[f59,f19]) ).

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

fof(f59,plain,
    ! [X1] :
      ( ~ holds(clear(c),X1)
      | ~ holds(empty,X1)
      | ~ differ(c,d)
      | ~ holds(clear(d),X1) ),
    inference(resolution,[],[f57,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(f57,plain,
    ! [X0] :
      ( ~ holds(clear(c),do(pickup(d),X0))
      | ~ holds(empty,X0)
      | ~ holds(clear(d),X0) ),
    inference(subsumption_resolution,[],[f56,f21]) ).

fof(f56,plain,
    ! [X0] :
      ( ~ holds(clear(c),do(pickup(d),X0))
      | ~ holds(empty,X0)
      | ~ holds(clear(d),X0)
      | ~ differ(d,table) ),
    inference(resolution,[],[f55,f2]) ).

fof(f55,plain,
    ! [X0] :
      ( ~ holds(holding(d),X0)
      | ~ holds(clear(c),X0) ),
    inference(subsumption_resolution,[],[f54,f33]) ).

fof(f33,plain,
    ! [X2] : ~ holds(sF0,X2),
    inference(definition_folding,[],[f31,f32]) ).

fof(f32,plain,
    on(d,c) = sF0,
    introduced(function_definition,[]) ).

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

fof(f54,plain,
    ! [X0] :
      ( ~ holds(clear(c),X0)
      | holds(sF0,do(putdown(d,c),X0))
      | ~ holds(holding(d),X0) ),
    inference(superposition,[],[f7,f32]) ).

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/sandbox/benchmark/theBenchmark.p',putdown_2) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : PLA019-1 : TPTP v8.1.0. Released v1.1.0.
% 0.07/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34  % Computer : n026.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 10:22:21 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.19/0.53  % (30984)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)
% 0.19/0.53  % (30975)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)
% 0.19/0.54  % (30988)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.19/0.55  % (30967)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.55  % (30979)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.55  % (30971)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.55  % (30975)First to succeed.
% 0.19/0.56  % (30965)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.19/0.56  % (30975)Refutation found. Thanks to Tanya!
% 0.19/0.56  % SZS status Unsatisfiable for theBenchmark
% 0.19/0.56  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.56  % (30975)------------------------------
% 0.19/0.56  % (30975)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.56  % (30975)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.56  % (30975)Termination reason: Refutation
% 0.19/0.56  
% 0.19/0.56  % (30975)Memory used [KB]: 1023
% 0.19/0.56  % (30975)Time elapsed: 0.091 s
% 0.19/0.56  % (30975)Instructions burned: 8 (million)
% 0.19/0.56  % (30975)------------------------------
% 0.19/0.56  % (30975)------------------------------
% 0.19/0.56  % (30959)Success in time 0.212 s
%------------------------------------------------------------------------------