TSTP Solution File: PLA022-2 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : PLA022-2 : 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 : n002.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 18:08:34 EDT 2022

% Result   : Unsatisfiable 0.20s 0.53s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :   14
% Syntax   : Number of formulae    :   27 (   9 unt;   0 def)
%            Number of atoms       :   69 (   0 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :   97 (  55   ~;  42   |;   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   :   36 (  36   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f71,plain,
    $false,
    inference(unit_resulting_resolution,[],[f13,f68,f11]) ).

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

fof(f68,plain,
    ~ differ(c,a),
    inference(subsumption_resolution,[],[f67,f29]) ).

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

fof(f67,plain,
    ( ~ differ(c,a)
    | ~ holds(empty,s0) ),
    inference(subsumption_resolution,[],[f66,f28]) ).

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

fof(f66,plain,
    ( ~ holds(clear(c),s0)
    | ~ holds(empty,s0)
    | ~ differ(c,a) ),
    inference(subsumption_resolution,[],[f65,f26]) ).

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

fof(f65,plain,
    ( ~ differ(c,a)
    | ~ holds(clear(a),s0)
    | ~ holds(clear(c),s0)
    | ~ holds(empty,s0) ),
    inference(resolution,[],[f58,f24]) ).

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

fof(f58,plain,
    ! [X0] :
      ( ~ holds(on(c,d),X0)
      | ~ holds(empty,X0)
      | ~ differ(c,a)
      | ~ holds(clear(c),X0)
      | ~ holds(clear(a),X0) ),
    inference(subsumption_resolution,[],[f57,f15]) ).

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

fof(f57,plain,
    ! [X0] :
      ( ~ differ(c,a)
      | ~ holds(clear(c),X0)
      | ~ holds(empty,X0)
      | ~ holds(on(c,d),X0)
      | ~ differ(a,table)
      | ~ holds(clear(a),X0) ),
    inference(resolution,[],[f56,f2]) ).

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

fof(f56,plain,
    ! [X2,X3] :
      ( ~ holds(holding(a),do(pickup(X2),X3))
      | ~ differ(c,X2)
      | ~ holds(clear(c),X3)
      | ~ holds(on(c,d),X3) ),
    inference(duplicate_literal_removal,[],[f55]) ).

fof(f55,plain,
    ! [X2,X3] :
      ( ~ differ(c,X2)
      | ~ holds(on(c,d),X3)
      | ~ holds(holding(a),do(pickup(X2),X3))
      | ~ holds(clear(c),X3)
      | ~ differ(c,X2) ),
    inference(resolution,[],[f41,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(f41,plain,
    ! [X4,X5] :
      ( ~ holds(clear(c),do(pickup(X4),X5))
      | ~ holds(holding(a),do(pickup(X4),X5))
      | ~ holds(on(c,d),X5)
      | ~ differ(c,X4) ),
    inference(resolution,[],[f37,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(f37,plain,
    ! [X0] :
      ( ~ holds(on(c,d),X0)
      | ~ holds(clear(c),X0)
      | ~ holds(holding(a),X0) ),
    inference(resolution,[],[f34,f7]) ).

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) ).

fof(f34,plain,
    ! [X2,X3,X1] :
      ( ~ holds(on(a,c),do(putdown(X1,X2),X3))
      | ~ holds(on(c,d),X3) ),
    inference(resolution,[],[f32,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(f32,plain,
    ! [X0] :
      ( ~ holds(on(c,d),X0)
      | ~ holds(on(a,c),X0) ),
    inference(resolution,[],[f31,f1]) ).

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) ).

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

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : PLA022-2 : TPTP v8.1.0. Released v1.1.0.
% 0.13/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34  % Computer : n002.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 10:19:59 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 0.20/0.50  % (8077)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)
% 0.20/0.51  % (8093)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)
% 0.20/0.52  % (8085)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=5:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 0.20/0.52  % (8077)Refutation not found, incomplete strategy% (8077)------------------------------
% 0.20/0.52  % (8077)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52  % (8077)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52  % (8077)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.52  
% 0.20/0.52  % (8077)Memory used [KB]: 5884
% 0.20/0.52  % (8077)Time elapsed: 0.112 s
% 0.20/0.52  % (8077)Instructions burned: 2 (million)
% 0.20/0.52  % (8077)------------------------------
% 0.20/0.52  % (8077)------------------------------
% 0.20/0.52  % (8095)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=97:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/97Mi)
% 0.20/0.52  % (8093)Instruction limit reached!
% 0.20/0.52  % (8093)------------------------------
% 0.20/0.52  % (8093)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52  % (8093)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52  % (8093)Termination reason: Unknown
% 0.20/0.52  % (8093)Termination phase: Saturation
% 0.20/0.52  
% 0.20/0.52  % (8093)Memory used [KB]: 1407
% 0.20/0.52  % (8093)Time elapsed: 0.120 s
% 0.20/0.52  % (8093)Instructions burned: 6 (million)
% 0.20/0.52  % (8093)------------------------------
% 0.20/0.52  % (8093)------------------------------
% 0.20/0.52  % (8078)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.20/0.52  % (8085)Instruction limit reached!
% 0.20/0.52  % (8085)------------------------------
% 0.20/0.52  % (8085)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52  % (8085)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52  % (8085)Termination reason: Unknown
% 0.20/0.52  % (8085)Termination phase: Saturation
% 0.20/0.52  
% 0.20/0.52  % (8085)Memory used [KB]: 5884
% 0.20/0.52  % (8085)Time elapsed: 0.122 s
% 0.20/0.52  % (8085)Instructions burned: 5 (million)
% 0.20/0.52  % (8085)------------------------------
% 0.20/0.52  % (8085)------------------------------
% 0.20/0.53  % (8073)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.20/0.53  % (8074)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)
% 0.20/0.53  % (8079)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)
% 0.20/0.53  % (8075)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)
% 0.20/0.53  % (8074)First to succeed.
% 0.20/0.53  % (8075)Refutation not found, incomplete strategy% (8075)------------------------------
% 0.20/0.53  % (8075)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53  % (8075)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53  % (8075)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.53  
% 0.20/0.53  % (8075)Memory used [KB]: 5884
% 0.20/0.53  % (8075)Time elapsed: 0.125 s
% 0.20/0.53  % (8075)Instructions burned: 2 (million)
% 0.20/0.53  % (8075)------------------------------
% 0.20/0.53  % (8075)------------------------------
% 0.20/0.53  % (8076)lrs+10_1:1_bd=off:drc=off:lcm=reverse:nwc=5.0:sd=1:sgt=16:spb=goal_then_units:ss=axioms:to=lpo:i=43:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/43Mi)
% 0.20/0.53  % (8074)Refutation found. Thanks to Tanya!
% 0.20/0.53  % SZS status Unsatisfiable for theBenchmark
% 0.20/0.53  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.53  % (8074)------------------------------
% 0.20/0.53  % (8074)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53  % (8074)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53  % (8074)Termination reason: Refutation
% 0.20/0.53  
% 0.20/0.53  % (8074)Memory used [KB]: 1407
% 0.20/0.53  % (8074)Time elapsed: 0.125 s
% 0.20/0.53  % (8074)Instructions burned: 3 (million)
% 0.20/0.53  % (8074)------------------------------
% 0.20/0.53  % (8074)------------------------------
% 0.20/0.53  % (8071)Success in time 0.177 s
%------------------------------------------------------------------------------