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

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---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_sat --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 18:09:16 EDT 2022

% Result   : Unsatisfiable 1.42s 0.55s
% Output   : Refutation 1.42s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   22
%            Number of leaves      :   19
% Syntax   : Number of formulae    :   43 (  16 unt;   0 def)
%            Number of atoms       :  139 (   1 equ)
%            Maximal formula atoms :    9 (   3 avg)
%            Number of connectives :  214 ( 118   ~;  96   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :   13 (  13 usr;   7 con; 0-2 aty)
%            Number of variables   :   60 (  60   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f258,plain,
    $false,
    inference(subsumption_resolution,[],[f257,f29]) ).

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

fof(f257,plain,
    ~ holds(empty,s0),
    inference(subsumption_resolution,[],[f256,f26]) ).

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

fof(f256,plain,
    ( ~ holds(clear(a),s0)
    | ~ holds(empty,s0) ),
    inference(subsumption_resolution,[],[f255,f28]) ).

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

fof(f255,plain,
    ( ~ holds(clear(c),s0)
    | ~ holds(clear(a),s0)
    | ~ holds(empty,s0) ),
    inference(subsumption_resolution,[],[f254,f20]) ).

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

fof(f254,plain,
    ( ~ differ(c,table)
    | ~ holds(clear(a),s0)
    | ~ holds(empty,s0)
    | ~ holds(clear(c),s0) ),
    inference(subsumption_resolution,[],[f249,f13]) ).

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

fof(f249,plain,
    ( ~ differ(a,c)
    | ~ holds(clear(a),s0)
    | ~ holds(clear(c),s0)
    | ~ differ(c,table)
    | ~ holds(empty,s0) ),
    inference(resolution,[],[f238,f24]) ).

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

fof(f238,plain,
    ! [X0,X1] :
      ( ~ holds(on(X0,d),X1)
      | ~ holds(empty,X1)
      | ~ holds(clear(X0),X1)
      | ~ holds(clear(a),X1)
      | ~ differ(a,X0)
      | ~ differ(X0,table) ),
    inference(duplicate_literal_removal,[],[f237]) ).

fof(f237,plain,
    ! [X0,X1] :
      ( ~ holds(clear(X0),X1)
      | ~ holds(empty,X1)
      | ~ holds(on(X0,d),X1)
      | ~ holds(empty,X1)
      | ~ differ(X0,table)
      | ~ holds(clear(a),X1)
      | ~ holds(clear(X0),X1)
      | ~ differ(a,X0) ),
    inference(resolution,[],[f230,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(f230,plain,
    ! [X10,X8,X9] :
      ( ~ holds(holding(X10),do(pickup(X8),X9))
      | ~ holds(clear(X8),X9)
      | ~ holds(empty,X9)
      | ~ differ(a,X8)
      | ~ holds(on(X8,d),X9)
      | ~ holds(clear(a),X9) ),
    inference(subsumption_resolution,[],[f229,f21]) ).

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

fof(f229,plain,
    ! [X10,X8,X9] :
      ( ~ differ(d,table)
      | ~ holds(clear(a),X9)
      | ~ holds(holding(X10),do(pickup(X8),X9))
      | ~ holds(on(X8,d),X9)
      | ~ differ(a,X8)
      | ~ holds(empty,X9)
      | ~ holds(clear(X8),X9) ),
    inference(subsumption_resolution,[],[f227,f15]) ).

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

fof(f227,plain,
    ! [X10,X8,X9] :
      ( ~ holds(clear(a),X9)
      | ~ holds(empty,X9)
      | ~ differ(a,X8)
      | ~ differ(a,table)
      | ~ holds(clear(X8),X9)
      | ~ differ(d,table)
      | ~ holds(on(X8,d),X9)
      | ~ holds(holding(X10),do(pickup(X8),X9)) ),
    inference(resolution,[],[f193,f30]) ).

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

fof(f193,plain,
    ! [X6,X7,X4,X5] :
      ( ~ holds(clear(X5),do(pickup(X6),X4))
      | ~ holds(clear(X6),X4)
      | ~ holds(clear(a),X4)
      | ~ holds(empty,X4)
      | ~ differ(a,X6)
      | ~ differ(a,X5)
      | ~ holds(holding(X7),do(pickup(X6),X4))
      | ~ differ(d,X5)
      | ~ holds(on(X6,d),X4) ),
    inference(resolution,[],[f93,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(f93,plain,
    ! [X2,X3,X0,X1] :
      ( ~ holds(clear(a),do(pickup(X1),X2))
      | ~ holds(empty,X2)
      | ~ differ(d,X3)
      | ~ holds(clear(X1),X2)
      | ~ holds(on(X1,d),X2)
      | ~ holds(clear(X3),do(pickup(X1),X2))
      | ~ differ(a,X3)
      | ~ holds(holding(X0),do(pickup(X1),X2)) ),
    inference(resolution,[],[f92,f3]) ).

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

fof(f92,plain,
    ! [X2,X0,X1] :
      ( ~ holds(clear(d),X0)
      | ~ holds(holding(X2),X0)
      | ~ differ(a,X1)
      | ~ holds(clear(a),X0)
      | ~ holds(clear(X1),X0)
      | ~ differ(d,X1) ),
    inference(resolution,[],[f90,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(f90,plain,
    ! [X2,X0,X1] :
      ( ~ holds(empty,do(putdown(X1,X2),X0))
      | ~ holds(clear(a),X0)
      | ~ differ(a,X2)
      | ~ differ(d,X2)
      | ~ holds(clear(d),X0) ),
    inference(resolution,[],[f65,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(f65,plain,
    ! [X2,X3,X4] :
      ( ~ holds(clear(a),do(putdown(X2,X3),X4))
      | ~ holds(clear(d),X4)
      | ~ holds(empty,do(putdown(X2,X3),X4))
      | ~ differ(d,X3) ),
    inference(resolution,[],[f63,f10]) ).

fof(f63,plain,
    ! [X0] :
      ( ~ holds(clear(d),X0)
      | ~ holds(empty,X0)
      | ~ holds(clear(a),X0) ),
    inference(subsumption_resolution,[],[f62,f15]) ).

fof(f62,plain,
    ! [X0] :
      ( ~ holds(clear(a),X0)
      | ~ holds(empty,X0)
      | ~ holds(clear(d),X0)
      | ~ differ(a,table) ),
    inference(subsumption_resolution,[],[f61,f37]) ).

fof(f37,plain,
    differ(d,a),
    inference(resolution,[],[f11,f14]) ).

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

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

fof(f61,plain,
    ! [X0] :
      ( ~ holds(clear(d),X0)
      | ~ differ(d,a)
      | ~ holds(empty,X0)
      | ~ differ(a,table)
      | ~ holds(clear(a),X0) ),
    inference(resolution,[],[f58,f2]) ).

fof(f58,plain,
    ! [X0,X1] :
      ( ~ holds(holding(a),do(pickup(X0),X1))
      | ~ holds(clear(d),X1)
      | ~ differ(d,X0) ),
    inference(resolution,[],[f57,f5]) ).

fof(f57,plain,
    ! [X0] :
      ( ~ holds(clear(d),X0)
      | ~ holds(holding(a),X0) ),
    inference(subsumption_resolution,[],[f56,f33]) ).

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

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

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

fof(f56,plain,
    ! [X0] :
      ( ~ holds(holding(a),X0)
      | holds(sF0,do(putdown(a,d),X0))
      | ~ holds(clear(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/sandbox2/benchmark/theBenchmark.p',putdown_2) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem    : PLA007-1 : TPTP v8.1.0. Released v1.1.0.
% 0.03/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.15/0.35  % Computer : n023.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit   : 300
% 0.15/0.35  % WCLimit    : 300
% 0.15/0.35  % DateTime   : Tue Aug 30 10:25:20 EDT 2022
% 0.15/0.36  % CPUTime    : 
% 0.22/0.50  % (15908)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)
% 0.22/0.51  % (15927)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.22/0.52  % (15918)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.22/0.52  % (15910)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.22/0.53  % (15921)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)
% 0.22/0.53  % (15906)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)
% 0.22/0.53  % (15897)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.22/0.54  % (15911)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)
% 1.42/0.54  % (15896)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)
% 1.42/0.54  % (15897)Refutation not found, incomplete strategy% (15897)------------------------------
% 1.42/0.54  % (15897)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.42/0.54  % (15897)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.42/0.54  % (15897)Termination reason: Refutation not found, incomplete strategy
% 1.42/0.54  
% 1.42/0.54  % (15897)Memory used [KB]: 5373
% 1.42/0.54  % (15897)Time elapsed: 0.133 s
% 1.42/0.54  % (15897)Instructions burned: 1 (million)
% 1.42/0.54  % (15897)------------------------------
% 1.42/0.54  % (15897)------------------------------
% 1.42/0.54  % (15904)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.42/0.54  % (15900)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.42/0.54  % (15912)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)
% 1.42/0.54  TRYING [1]
% 1.42/0.54  TRYING [2]
% 1.42/0.54  % (15907)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.42/0.54  % (15899)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)
% 1.42/0.54  % (15917)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 1.42/0.54  % (15910)First to succeed.
% 1.42/0.55  % (15905)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.42/0.55  % (15905)Instruction limit reached!
% 1.42/0.55  % (15905)------------------------------
% 1.42/0.55  % (15905)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.42/0.55  % (15905)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.42/0.55  % (15905)Termination reason: Unknown
% 1.42/0.55  % (15905)Termination phase: Saturation
% 1.42/0.55  
% 1.42/0.55  % (15905)Memory used [KB]: 5373
% 1.42/0.55  % (15905)Time elapsed: 0.133 s
% 1.42/0.55  % (15905)Instructions burned: 3 (million)
% 1.42/0.55  % (15905)------------------------------
% 1.42/0.55  % (15905)------------------------------
% 1.42/0.55  % (15913)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)
% 1.42/0.55  % (15898)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)
% 1.42/0.55  % (15926)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.42/0.55  % (15910)Refutation found. Thanks to Tanya!
% 1.42/0.55  % SZS status Unsatisfiable for theBenchmark
% 1.42/0.55  % SZS output start Proof for theBenchmark
% See solution above
% 1.42/0.55  % (15910)------------------------------
% 1.42/0.55  % (15910)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.42/0.55  % (15910)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.42/0.55  % (15910)Termination reason: Refutation
% 1.42/0.55  
% 1.42/0.55  % (15910)Memory used [KB]: 5628
% 1.42/0.55  % (15910)Time elapsed: 0.132 s
% 1.42/0.55  % (15910)Instructions burned: 15 (million)
% 1.42/0.55  % (15910)------------------------------
% 1.42/0.55  % (15910)------------------------------
% 1.42/0.55  % (15891)Success in time 0.189 s
%------------------------------------------------------------------------------