TSTP Solution File: PLA011-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : PLA011-1 : 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 : n006.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 18:09:17 EDT 2022

% Result   : Unsatisfiable 0.21s 0.55s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   24
%            Number of leaves      :   21
% Syntax   : Number of formulae    :   46 (  13 unt;   0 def)
%            Number of atoms       :  134 (   0 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :  200 ( 112   ~;  88   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   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   :   57 (  57   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f121,plain,
    $false,
    inference(subsumption_resolution,[],[f120,f29]) ).

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

fof(f120,plain,
    ~ holds(empty,s0),
    inference(subsumption_resolution,[],[f119,f27]) ).

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

fof(f119,plain,
    ( ~ holds(clear(b),s0)
    | ~ holds(empty,s0) ),
    inference(subsumption_resolution,[],[f116,f28]) ).

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

fof(f116,plain,
    ( ~ holds(clear(c),s0)
    | ~ holds(empty,s0)
    | ~ holds(clear(b),s0) ),
    inference(resolution,[],[f112,f24]) ).

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

fof(f112,plain,
    ! [X1] :
      ( ~ holds(on(c,d),X1)
      | ~ holds(empty,X1)
      | ~ holds(clear(c),X1)
      | ~ holds(clear(b),X1) ),
    inference(subsumption_resolution,[],[f110,f16]) ).

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

fof(f110,plain,
    ! [X1] :
      ( ~ differ(b,c)
      | ~ holds(on(c,d),X1)
      | ~ holds(empty,X1)
      | ~ holds(clear(c),X1)
      | ~ holds(clear(b),X1) ),
    inference(resolution,[],[f98,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(f98,plain,
    ! [X0] :
      ( ~ holds(clear(b),do(pickup(c),X0))
      | ~ holds(empty,X0)
      | ~ holds(on(c,d),X0)
      | ~ holds(clear(c),X0) ),
    inference(duplicate_literal_removal,[],[f96]) ).

fof(f96,plain,
    ! [X0] :
      ( ~ holds(empty,X0)
      | ~ holds(clear(c),X0)
      | ~ holds(clear(b),do(pickup(c),X0))
      | ~ holds(clear(c),X0)
      | ~ holds(empty,X0)
      | ~ holds(on(c,d),X0) ),
    inference(resolution,[],[f95,f3]) ).

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

fof(f95,plain,
    ! [X0] :
      ( ~ holds(clear(d),do(pickup(c),X0))
      | ~ holds(clear(b),do(pickup(c),X0))
      | ~ holds(clear(c),X0)
      | ~ holds(empty,X0) ),
    inference(subsumption_resolution,[],[f94,f20]) ).

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

fof(f94,plain,
    ! [X0] :
      ( ~ holds(clear(d),do(pickup(c),X0))
      | ~ differ(c,table)
      | ~ holds(empty,X0)
      | ~ holds(clear(c),X0)
      | ~ holds(clear(b),do(pickup(c),X0)) ),
    inference(resolution,[],[f93,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/sandbox2/benchmark/theBenchmark.p',pickup_1) ).

fof(f93,plain,
    ! [X0] :
      ( ~ holds(holding(c),X0)
      | ~ holds(clear(b),X0)
      | ~ holds(clear(d),X0) ),
    inference(subsumption_resolution,[],[f92,f38]) ).

fof(f38,plain,
    differ(d,b),
    inference(resolution,[],[f11,f17]) ).

fof(f17,axiom,
    differ(b,d),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',differ_b_d) ).

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

fof(f92,plain,
    ! [X0] :
      ( ~ differ(d,b)
      | ~ holds(clear(d),X0)
      | ~ holds(holding(c),X0)
      | ~ holds(clear(b),X0) ),
    inference(resolution,[],[f91,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(f91,plain,
    ! [X3] :
      ( ~ holds(clear(d),do(putdown(c,b),X3))
      | ~ holds(clear(b),X3)
      | ~ holds(holding(c),X3) ),
    inference(subsumption_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,
    ! [X3] :
      ( ~ holds(clear(b),X3)
      | ~ holds(empty,do(putdown(c,b),X3))
      | ~ holds(clear(d),do(putdown(c,b),X3))
      | ~ holds(holding(c),X3) ),
    inference(subsumption_resolution,[],[f88,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(f88,plain,
    ! [X3] :
      ( ~ holds(clear(c),do(putdown(c,b),X3))
      | ~ holds(clear(d),do(putdown(c,b),X3))
      | ~ holds(clear(b),X3)
      | ~ holds(holding(c),X3)
      | ~ holds(empty,do(putdown(c,b),X3)) ),
    inference(resolution,[],[f86,f7]) ).

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/sandbox2/benchmark/theBenchmark.p',putdown_2) ).

fof(f86,plain,
    ! [X1] :
      ( ~ holds(on(c,b),X1)
      | ~ holds(empty,X1)
      | ~ holds(clear(c),X1)
      | ~ holds(clear(d),X1) ),
    inference(subsumption_resolution,[],[f84,f19]) ).

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

fof(f84,plain,
    ! [X1] :
      ( ~ holds(on(c,b),X1)
      | ~ holds(clear(c),X1)
      | ~ holds(empty,X1)
      | ~ differ(c,d)
      | ~ holds(clear(d),X1) ),
    inference(resolution,[],[f82,f5]) ).

fof(f82,plain,
    ! [X0] :
      ( ~ holds(clear(c),do(pickup(d),X0))
      | ~ holds(on(c,b),X0)
      | ~ holds(clear(d),X0)
      | ~ holds(empty,X0) ),
    inference(subsumption_resolution,[],[f81,f21]) ).

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

fof(f81,plain,
    ! [X0] :
      ( ~ holds(on(c,b),X0)
      | ~ holds(clear(c),do(pickup(d),X0))
      | ~ holds(clear(d),X0)
      | ~ holds(empty,X0)
      | ~ differ(d,table) ),
    inference(subsumption_resolution,[],[f80,f19]) ).

fof(f80,plain,
    ! [X0] :
      ( ~ holds(clear(c),do(pickup(d),X0))
      | ~ holds(clear(d),X0)
      | ~ differ(c,d)
      | ~ holds(empty,X0)
      | ~ differ(d,table)
      | ~ holds(on(c,b),X0) ),
    inference(resolution,[],[f67,f2]) ).

fof(f67,plain,
    ! [X4,X5] :
      ( ~ holds(holding(d),do(pickup(X4),X5))
      | ~ differ(c,X4)
      | ~ holds(clear(c),do(pickup(X4),X5))
      | ~ holds(on(c,b),X5) ),
    inference(resolution,[],[f64,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(f64,plain,
    ! [X0] :
      ( ~ holds(on(c,b),X0)
      | ~ holds(clear(c),X0)
      | ~ holds(holding(d),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/sandbox2/benchmark/theBenchmark.p',putdown_4) ).

fof(f60,plain,
    ! [X1] :
      ( ~ holds(on(c,b),do(putdown(d,c),X1))
      | ~ holds(holding(d),X1)
      | ~ holds(clear(c),X1) ),
    inference(resolution,[],[f7,f47]) ).

fof(f47,plain,
    ! [X0] :
      ( ~ holds(on(d,c),X0)
      | ~ holds(on(c,b),X0) ),
    inference(resolution,[],[f1,f31]) ).

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

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
% 0.03/0.12  % Problem    : PLA011-1 : TPTP v8.1.0. Released v1.1.0.
% 0.03/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.34  % Computer : n006.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit   : 300
% 0.14/0.34  % WCLimit    : 300
% 0.14/0.34  % DateTime   : Tue Aug 30 10:03:25 EDT 2022
% 0.14/0.34  % CPUTime    : 
% 0.21/0.51  % (2003)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.21/0.52  % (2011)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)
% 0.21/0.52  % (2000)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.52  % (1997)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)
% 0.21/0.52  % (2001)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)
% 0.21/0.52  % (2023)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)
% 0.21/0.52  % (1996)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)
% 0.21/0.52  % (1996)Refutation not found, incomplete strategy% (1996)------------------------------
% 0.21/0.52  % (1996)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.52  % (1996)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.52  % (1996)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.52  
% 0.21/0.52  % (1996)Memory used [KB]: 5373
% 0.21/0.52  % (1996)Time elapsed: 0.124 s
% 0.21/0.52  % (1996)Instructions burned: 2 (million)
% 0.21/0.52  % (1996)------------------------------
% 0.21/0.52  % (1996)------------------------------
% 0.21/0.53  % (2001)First to succeed.
% 0.21/0.53  % (1999)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)
% 0.21/0.53  % (2019)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)
% 0.21/0.53  % (1995)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)
% 0.21/0.53  % (2024)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.21/0.53  % (2022)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)
% 0.21/0.53  TRYING [1]
% 0.21/0.53  % (2025)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)
% 0.21/0.53  TRYING [2]
% 0.21/0.53  % (2003)Instruction limit reached!
% 0.21/0.53  % (2003)------------------------------
% 0.21/0.53  % (2003)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.53  % (2003)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.53  % (2003)Termination reason: Unknown
% 0.21/0.53  % (2003)Termination phase: Saturation
% 0.21/0.53  
% 0.21/0.53  % (2003)Memory used [KB]: 5500
% 0.21/0.53  % (2003)Time elapsed: 0.097 s
% 0.21/0.53  % (2003)Instructions burned: 7 (million)
% 0.21/0.53  % (2003)------------------------------
% 0.21/0.53  % (2003)------------------------------
% 0.21/0.53  % (2021)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.21/0.54  % (2016)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)
% 0.21/0.54  % (2002)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)
% 0.21/0.54  % (2014)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.21/0.54  % (2015)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)
% 0.21/0.54  % (2017)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.21/0.54  TRYING [1]
% 0.21/0.54  TRYING [2]
% 0.21/0.54  % (2018)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)
% 0.21/0.54  % (2008)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.21/0.54  % (2006)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.21/0.54  % (2013)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.21/0.54  % (2007)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)
% 0.21/0.54  % (2009)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.21/0.54  TRYING [1]
% 0.21/0.54  TRYING [2]
% 0.21/0.55  % (2010)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)
% 0.21/0.55  % (2011)Also succeeded, but the first one will report.
% 0.21/0.55  TRYING [3]
% 0.21/0.55  % (2001)Refutation found. Thanks to Tanya!
% 0.21/0.55  % SZS status Unsatisfiable for theBenchmark
% 0.21/0.55  % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.55  % (2001)------------------------------
% 0.21/0.55  % (2001)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.55  % (2001)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.55  % (2001)Termination reason: Refutation
% 0.21/0.55  
% 0.21/0.55  % (2001)Memory used [KB]: 5500
% 0.21/0.55  % (2001)Time elapsed: 0.129 s
% 0.21/0.55  % (2001)Instructions burned: 5 (million)
% 0.21/0.55  % (2001)------------------------------
% 0.21/0.55  % (2001)------------------------------
% 0.21/0.55  % (1994)Success in time 0.2 s
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