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

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---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_uns --cores 0 -t %d %s

% Computer : n025.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 18:08:33 EDT 2022

% Result   : Unsatisfiable 0.18s 0.51s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :   15
% Syntax   : Number of formulae    :   30 (   9 unt;   0 def)
%            Number of atoms       :   90 (   0 equ)
%            Maximal formula atoms :    6 (   3 avg)
%            Number of connectives :  135 (  75   ~;  60   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :   11 (  11 usr;   5 con; 0-2 aty)
%            Number of variables   :   46 (  46   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f107,plain,
    $false,
    inference(unit_resulting_resolution,[],[f29,f28,f24,f106]) ).

fof(f106,plain,
    ! [X0] :
      ( ~ holds(on(c,d),X0)
      | ~ holds(empty,X0)
      | ~ holds(clear(c),X0) ),
    inference(subsumption_resolution,[],[f105,f20]) ).

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

fof(f105,plain,
    ! [X0] :
      ( ~ holds(clear(c),X0)
      | ~ holds(on(c,d),X0)
      | ~ differ(c,table)
      | ~ holds(empty,X0) ),
    inference(duplicate_literal_removal,[],[f104]) ).

fof(f104,plain,
    ! [X0] :
      ( ~ holds(clear(c),X0)
      | ~ holds(on(c,d),X0)
      | ~ holds(empty,X0)
      | ~ holds(clear(c),X0)
      | ~ differ(c,table)
      | ~ holds(empty,X0) ),
    inference(resolution,[],[f102,f2]) ).

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

fof(f102,plain,
    ! [X6,X7] :
      ( ~ holds(holding(c),do(pickup(X7),X6))
      | ~ holds(empty,X6)
      | ~ holds(on(X7,d),X6)
      | ~ holds(clear(X7),X6) ),
    inference(subsumption_resolution,[],[f100,f21]) ).

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

fof(f100,plain,
    ! [X6,X7] :
      ( ~ holds(empty,X6)
      | ~ holds(holding(c),do(pickup(X7),X6))
      | ~ holds(clear(X7),X6)
      | ~ differ(d,table)
      | ~ holds(on(X7,d),X6) ),
    inference(resolution,[],[f58,f30]) ).

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

fof(f58,plain,
    ! [X8,X9,X7] :
      ( ~ holds(clear(X9),do(pickup(X7),X8))
      | ~ differ(d,X9)
      | ~ holds(empty,X8)
      | ~ holds(clear(X7),X8)
      | ~ holds(holding(c),do(pickup(X7),X8))
      | ~ holds(on(X7,d),X8) ),
    inference(resolution,[],[f55,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(f55,plain,
    ! [X0,X1] :
      ( ~ holds(clear(d),X1)
      | ~ holds(holding(c),X1)
      | ~ holds(clear(X0),X1)
      | ~ differ(d,X0) ),
    inference(subsumption_resolution,[],[f53,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(f53,plain,
    ! [X0,X1] :
      ( ~ holds(clear(X0),X1)
      | ~ holds(clear(d),X1)
      | ~ holds(empty,do(putdown(c,X0),X1))
      | ~ holds(holding(c),X1)
      | ~ differ(d,X0) ),
    inference(resolution,[],[f44,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(f44,plain,
    ! [X2,X3,X4] :
      ( ~ holds(clear(c),do(putdown(X2,X3),X4))
      | ~ holds(empty,do(putdown(X2,X3),X4))
      | ~ holds(clear(d),X4)
      | ~ differ(d,X3) ),
    inference(resolution,[],[f42,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(f42,plain,
    ! [X0] :
      ( ~ holds(clear(d),X0)
      | ~ holds(empty,X0)
      | ~ holds(clear(c),X0) ),
    inference(subsumption_resolution,[],[f41,f21]) ).

fof(f41,plain,
    ! [X0] :
      ( ~ holds(clear(d),X0)
      | ~ differ(d,table)
      | ~ holds(empty,X0)
      | ~ holds(clear(c),X0) ),
    inference(subsumption_resolution,[],[f40,f19]) ).

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

fof(f40,plain,
    ! [X0] :
      ( ~ differ(c,d)
      | ~ differ(d,table)
      | ~ holds(clear(d),X0)
      | ~ holds(empty,X0)
      | ~ holds(clear(c),X0) ),
    inference(resolution,[],[f39,f2]) ).

fof(f39,plain,
    ! [X8,X7] :
      ( ~ holds(holding(d),do(pickup(X7),X8))
      | ~ holds(clear(c),X8)
      | ~ differ(c,X7) ),
    inference(resolution,[],[f34,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(f34,plain,
    ! [X3] :
      ( ~ holds(clear(c),X3)
      | ~ holds(holding(d),X3) ),
    inference(resolution,[],[f31,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(f31,axiom,
    ! [X2] : ~ holds(on(d,c),X2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_DC) ).

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

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

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem    : PLA019-1 : TPTP v8.1.0. Released v1.1.0.
% 0.06/0.12  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.32  % Computer : n025.cluster.edu
% 0.12/0.32  % Model    : x86_64 x86_64
% 0.12/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32  % Memory   : 8042.1875MB
% 0.12/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit   : 300
% 0.12/0.33  % WCLimit    : 300
% 0.12/0.33  % DateTime   : Tue Aug 30 10:16:14 EDT 2022
% 0.12/0.33  % CPUTime    : 
% 0.18/0.46  % (10225)lrs+10_1:16_awrs=converge:awrsf=40:br=off:ep=RSTC:flr=on:gsp=on:nwc=3.0:sos=on:urr=on:i=4:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.18/0.47  % (10225)Refutation not found, incomplete strategy% (10225)------------------------------
% 0.18/0.47  % (10225)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.47  % (10225)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.47  % (10225)Termination reason: Refutation not found, incomplete strategy
% 0.18/0.47  
% 0.18/0.47  % (10225)Memory used [KB]: 5884
% 0.18/0.47  % (10225)Time elapsed: 0.076 s
% 0.18/0.47  % (10225)Instructions burned: 2 (million)
% 0.18/0.47  % (10225)------------------------------
% 0.18/0.47  % (10225)------------------------------
% 0.18/0.47  % (10234)lrs+1004_1:734_av=off:awrs=converge:awrsf=70:br=off:ep=RSTC:erd=off:gs=on:nwc=3.0:s2a=on:s2agt=16:sp=occurrence:updr=off:urr=on:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.18/0.47  % (10234)Instruction limit reached!
% 0.18/0.47  % (10234)------------------------------
% 0.18/0.47  % (10234)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.47  % (10234)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.47  % (10234)Termination reason: Unknown
% 0.18/0.47  % (10234)Termination phase: Saturation
% 0.18/0.47  
% 0.18/0.47  % (10234)Memory used [KB]: 6012
% 0.18/0.47  % (10234)Time elapsed: 0.084 s
% 0.18/0.47  % (10234)Instructions burned: 6 (million)
% 0.18/0.47  % (10234)------------------------------
% 0.18/0.47  % (10234)------------------------------
% 0.18/0.49  % (10232)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.50  % (10229)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.18/0.50  % (10242)lrs+1003_1:1024_add=large:afr=on:cond=fast:fsr=off:gs=on:sos=on:sp=reverse_arity:i=28:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/28Mi)
% 0.18/0.50  % (10224)dis+21_1:1_av=off:fd=off:lcm=predicate:sos=on:spb=goal:urr=ec_only:i=42:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/42Mi)
% 0.18/0.50  % (10224)First to succeed.
% 0.18/0.51  % (10235)dis+4_1:1_bd=off:cond=fast:fde=unused:lcm=reverse:lma=on:nicw=on:nwc=2.0:s2a=on:s2agt=16:sac=on:sp=frequency:i=23:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/23Mi)
% 0.18/0.51  % (10227)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=34:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/34Mi)
% 0.18/0.51  % (10227)Refutation not found, incomplete strategy% (10227)------------------------------
% 0.18/0.51  % (10227)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.51  % (10227)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.51  % (10227)Termination reason: Refutation not found, incomplete strategy
% 0.18/0.51  
% 0.18/0.51  % (10227)Memory used [KB]: 5884
% 0.18/0.51  % (10227)Time elapsed: 0.118 s
% 0.18/0.51  % (10227)Instructions burned: 1 (million)
% 0.18/0.51  % (10227)------------------------------
% 0.18/0.51  % (10227)------------------------------
% 0.18/0.51  % (10237)lrs+30_1:12_av=off:bs=unit_only:fsd=on:gs=on:lwlo=on:newcnf=on:slsq=on:slsqr=1,2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.18/0.51  % (10232)Also succeeded, but the first one will report.
% 0.18/0.51  % (10247)lrs+1011_1:1_aac=none:bsr=unit_only:ep=R:sac=on:sos=all:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.18/0.51  % (10237)Instruction limit reached!
% 0.18/0.51  % (10237)------------------------------
% 0.18/0.51  % (10237)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.51  % (10237)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.51  % (10237)Termination reason: Unknown
% 0.18/0.51  % (10237)Termination phase: Saturation
% 0.18/0.51  
% 0.18/0.51  % (10237)Memory used [KB]: 5884
% 0.18/0.51  % (10237)Time elapsed: 0.135 s
% 0.18/0.51  % (10237)Instructions burned: 4 (million)
% 0.18/0.51  % (10237)------------------------------
% 0.18/0.51  % (10237)------------------------------
% 0.18/0.51  % (10244)lrs+10_1:7_av=off:awrs=converge:awrsf=40:br=off:bsd=on:cond=on:drc=off:nwc=3.0:plsq=on:plsqc=1:s2a=on:s2agt=16:to=lpo:urr=on:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.18/0.51  % (10248)dis+10_1:1_add=large:alpa=false:anc=none:fd=off:lcm=reverse:nwc=5.0:sd=2:sgt=20:ss=included:i=46:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/46Mi)
% 0.18/0.51  % (10224)Refutation found. Thanks to Tanya!
% 0.18/0.51  % SZS status Unsatisfiable for theBenchmark
% 0.18/0.51  % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.51  % (10224)------------------------------
% 0.18/0.51  % (10224)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.51  % (10224)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.51  % (10224)Termination reason: Refutation
% 0.18/0.51  
% 0.18/0.51  % (10224)Memory used [KB]: 1407
% 0.18/0.51  % (10224)Time elapsed: 0.118 s
% 0.18/0.51  % (10224)Instructions burned: 6 (million)
% 0.18/0.51  % (10224)------------------------------
% 0.18/0.51  % (10224)------------------------------
% 0.18/0.51  % (10221)Success in time 0.171 s
%------------------------------------------------------------------------------