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Vampire-SAT---5.0.1.UNS-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : PLA016-1 : TPTP v9.3.1. Released v1.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT

% Computer : n017.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Sep 29 12:28:36 PM UTC 2026

% Result   : Unsatisfiable 0.17s 0.47s
% Output   : Refutation 0.17s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   21
%            Number of leaves      :   17
% Syntax   : Number of formulae    :   38 (  13 unt;   0 def)
%            Number of atoms       :  131 (   0 equ)
%            Maximal formula atoms :    9 (   3 avg)
%            Number of connectives :  207 ( 114   ~;  93   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   6 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :   12 (  12 usr;   6 con; 0-2 aty)
%            Number of variables   :   56 (  56   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2,axiom,
    ! [X0,X1] :
      ( holds(holding(X0),do(pickup(X0),X1))
      | ~ holds(empty,X1)
      | ~ holds(clear(X0),X1)
      | ~ differ(X0,table) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/PLA001-0.ax',pickup_1) ).

fof(f3,axiom,
    ! [X2,X0,X1] :
      ( holds(clear(X0),do(pickup(X1),X2))
      | ~ holds(on(X1,X0),X2)
      | ~ holds(clear(X1),X2)
      | ~ holds(empty,X2) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/PLA001-0.ax',pickup_2) ).

fof(f5,axiom,
    ! [X2,X0,X1] :
      ( holds(clear(X0),do(pickup(X1),X2))
      | ~ holds(clear(X0),X2)
      | ~ differ(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/PLA001-0.ax',pickup_4) ).

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/Axioms/PLA001-0.ax',putdown_1) ).

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/Axioms/PLA001-0.ax',putdown_2) ).

fof(f10,axiom,
    ! [X2,X3,X0,X1] :
      ( holds(clear(X0),do(putdown(X1,X2),X3))
      | ~ holds(clear(X0),X3)
      | ~ differ(X0,X2) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/PLA001-0.ax',putdown_5) ).

fof(f13,axiom,
    differ(a,c),
    file('/export/starexec/sandbox2/benchmark/Axioms/PLA001-1.ax',differ_a_c) ).

fof(f14,axiom,
    differ(a,d),
    file('/export/starexec/sandbox2/benchmark/Axioms/PLA001-1.ax',differ_a_d) ).

fof(f15,axiom,
    differ(a,table),
    file('/export/starexec/sandbox2/benchmark/Axioms/PLA001-1.ax',differ_a_table) ).

fof(f20,axiom,
    differ(c,table),
    file('/export/starexec/sandbox2/benchmark/Axioms/PLA001-1.ax',differ_c_table) ).

fof(f21,axiom,
    differ(d,table),
    file('/export/starexec/sandbox2/benchmark/Axioms/PLA001-1.ax',differ_d_table) ).

fof(f24,axiom,
    holds(on(c,d),s0),
    file('/export/starexec/sandbox2/benchmark/Axioms/PLA001-1.ax',initial_state3) ).

fof(f26,axiom,
    holds(clear(a),s0),
    file('/export/starexec/sandbox2/benchmark/Axioms/PLA001-1.ax',initial_state5) ).

fof(f28,axiom,
    holds(clear(c),s0),
    file('/export/starexec/sandbox2/benchmark/Axioms/PLA001-1.ax',initial_state7) ).

fof(f29,axiom,
    holds(empty,s0),
    file('/export/starexec/sandbox2/benchmark/Axioms/PLA001-1.ax',initial_state8) ).

fof(f30,axiom,
    ! [X0] : holds(clear(table),X0),
    file('/export/starexec/sandbox2/benchmark/Axioms/PLA001-1.ax',clear_table) ).

fof(f31,negated_conjecture,
    ! [X0] : ~ holds(on(d,a),X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_DA) ).

fof(f52,plain,
    ! [X0] :
      ( ~ holds(clear(a),X0)
      | ~ holds(holding(d),X0) ),
    inference(resolution,[],[f7,f31]) ).

fof(f53,plain,
    ! [X0,X1] :
      ( ~ holds(holding(d),do(pickup(X0),X1))
      | ~ holds(clear(a),X1)
      | ~ differ(a,X0) ),
    inference(resolution,[],[f52,f5]) ).

fof(f59,plain,
    ! [X0] :
      ( ~ holds(clear(a),X0)
      | ~ differ(a,d)
      | ~ holds(empty,X0)
      | ~ holds(clear(d),X0)
      | ~ differ(d,table) ),
    inference(resolution,[],[f53,f2]) ).

fof(f60,plain,
    ! [X0] :
      ( ~ holds(clear(a),X0)
      | ~ holds(empty,X0)
      | ~ holds(clear(d),X0)
      | ~ differ(d,table) ),
    inference(forward_subsumption_resolution,[],[f59,f14]) ).

fof(f61,plain,
    ! [X0] :
      ( ~ holds(clear(d),X0)
      | ~ holds(empty,X0)
      | ~ holds(clear(a),X0) ),
    inference(forward_subsumption_resolution,[],[f60,f21]) ).

fof(f65,plain,
    ! [X2,X0,X1] :
      ( ~ holds(clear(a),do(putdown(X0,X1),X2))
      | ~ holds(empty,do(putdown(X0,X1),X2))
      | ~ holds(clear(d),X2)
      | ~ differ(d,X1) ),
    inference(resolution,[],[f61,f10]) ).

fof(f73,plain,
    ! [X2,X0,X1] :
      ( ~ holds(empty,do(putdown(X0,X1),X2))
      | ~ holds(clear(d),X2)
      | ~ differ(d,X1)
      | ~ holds(clear(a),X2)
      | ~ differ(a,X1) ),
    inference(resolution,[],[f65,f10]) ).

fof(f83,plain,
    ! [X2,X0,X1] :
      ( ~ holds(clear(d),X0)
      | ~ differ(d,X1)
      | ~ holds(clear(a),X0)
      | ~ differ(a,X1)
      | ~ holds(holding(X2),X0)
      | ~ holds(clear(X1),X0) ),
    inference(resolution,[],[f73,f6]) ).

fof(f84,plain,
    ! [X2,X3,X0,X1] :
      ( ~ holds(clear(a),do(pickup(X1),X2))
      | ~ differ(d,X0)
      | ~ differ(a,X0)
      | ~ holds(holding(X3),do(pickup(X1),X2))
      | ~ holds(clear(X0),do(pickup(X1),X2))
      | ~ holds(on(X1,d),X2)
      | ~ holds(clear(X1),X2)
      | ~ holds(empty,X2) ),
    inference(resolution,[],[f83,f3]) ).

fof(f149,plain,
    ! [X2,X3,X0,X1] :
      ( ~ holds(clear(X0),do(pickup(X2),X3))
      | ~ differ(a,X0)
      | ~ holds(holding(X1),do(pickup(X2),X3))
      | ~ differ(d,X0)
      | ~ holds(on(X2,d),X3)
      | ~ holds(clear(X2),X3)
      | ~ holds(empty,X3)
      | ~ holds(clear(a),X3)
      | ~ differ(a,X2) ),
    inference(resolution,[],[f84,f5]) ).

fof(f176,plain,
    ! [X2,X0,X1] :
      ( ~ differ(a,table)
      | ~ holds(holding(X0),do(pickup(X1),X2))
      | ~ differ(d,table)
      | ~ holds(on(X1,d),X2)
      | ~ holds(clear(X1),X2)
      | ~ holds(empty,X2)
      | ~ holds(clear(a),X2)
      | ~ differ(a,X1) ),
    inference(resolution,[],[f149,f30]) ).

fof(f178,plain,
    ! [X2,X0,X1] :
      ( ~ holds(holding(X0),do(pickup(X1),X2))
      | ~ differ(d,table)
      | ~ holds(on(X1,d),X2)
      | ~ holds(clear(X1),X2)
      | ~ holds(empty,X2)
      | ~ holds(clear(a),X2)
      | ~ differ(a,X1) ),
    inference(forward_subsumption_resolution,[],[f176,f15]) ).

fof(f179,plain,
    ! [X2,X0,X1] :
      ( ~ holds(holding(X0),do(pickup(X1),X2))
      | ~ holds(on(X1,d),X2)
      | ~ holds(clear(X1),X2)
      | ~ holds(empty,X2)
      | ~ holds(clear(a),X2)
      | ~ differ(a,X1) ),
    inference(forward_subsumption_resolution,[],[f178,f21]) ).

fof(f197,plain,
    ! [X0,X1] :
      ( ~ holds(on(X0,d),X1)
      | ~ holds(clear(X0),X1)
      | ~ holds(empty,X1)
      | ~ holds(clear(a),X1)
      | ~ differ(a,X0)
      | ~ holds(empty,X1)
      | ~ holds(clear(X0),X1)
      | ~ differ(X0,table) ),
    inference(resolution,[],[f179,f2]) ).

fof(f198,plain,
    ! [X0,X1] :
      ( ~ holds(on(X0,d),X1)
      | ~ holds(clear(X0),X1)
      | ~ holds(empty,X1)
      | ~ holds(clear(a),X1)
      | ~ differ(a,X0)
      | ~ differ(X0,table) ),
    inference(duplicate_literal_removal,[],[f197]) ).

fof(f211,plain,
    ( ~ holds(clear(c),s0)
    | ~ holds(empty,s0)
    | ~ holds(clear(a),s0)
    | ~ differ(a,c)
    | ~ differ(c,table) ),
    inference(resolution,[],[f198,f24]) ).

fof(f212,plain,
    ( ~ holds(empty,s0)
    | ~ holds(clear(a),s0)
    | ~ differ(a,c)
    | ~ differ(c,table) ),
    inference(forward_subsumption_resolution,[],[f211,f28]) ).

fof(f214,plain,
    ( ~ holds(clear(a),s0)
    | ~ differ(a,c)
    | ~ differ(c,table) ),
    inference(forward_subsumption_resolution,[],[f212,f29]) ).

fof(f216,plain,
    ( ~ differ(a,c)
    | ~ differ(c,table) ),
    inference(forward_subsumption_resolution,[],[f214,f26]) ).

fof(f217,plain,
    ~ differ(c,table),
    inference(forward_subsumption_resolution,[],[f216,f13]) ).

fof(f218,plain,
    $false,
    inference(forward_subsumption_resolution,[],[f217,f20]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : PLA016-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.39  % Computer : n017.cluster.edu
% 0.11/0.39  % Model    : x86_64 x86_64
% 0.11/0.39  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.39  % Memory   : 8046.5625MB
% 0.11/0.39  % OS       : Linux 6.8.0-71-generic
% 0.11/0.39  % CPULimit : 300
% 0.11/0.39  % WCLimit  : 300
% 0.11/0.39  % DateTime : Sun Sep 27 22:05:20 UTC 2026
% 0.11/0.39  % CPUTime  : 
% 0.11/0.39  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.42  Running first-order model finding
% 0.11/0.42  Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.47  % (2986793)Will run a generic schedule for satisfiability detection.
% 0.17/0.47  % (2986798)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2861451850_2999 on theBenchmark for (2999ds/0Mi)
% 0.17/0.47  % TRYING [1]
% 0.17/0.47  % TRYING [2]
% 0.17/0.47  % TRYING [3]
% 0.17/0.47  % (2986799)% WARNING: option uhcvi not known.
% 0.17/0.47  % (2986799)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2026035598:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.17/0.47  % (2986800)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3606378528:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.17/0.47  % (2986801)dis+10_1_sil=32000:sp=arity:random_seed=360196997:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.17/0.47  % (2986802)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2977654529:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.17/0.47  % (2986803)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1909517808:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.17/0.47  % (2986804)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1065554335:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.17/0.47  % (2986801) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2986793-2986801"...
% 0.17/0.47  % (2986802) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2986793-2986802"...
% 0.17/0.47  % (2986801)...printing done.
% 0.17/0.47  % TRYING [4]
% 0.17/0.47  % (2986801)Refutation found. Thanks to Tanya!
% 0.17/0.47  % SZS status Unsatisfiable for theBenchmark
% 0.17/0.47  % SZS output start Proof for theBenchmark
% See solution above
% 0.17/0.48  % (2986801)------------------------------
% 0.17/0.48  % (2986801)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.17/0.48  % (2986801)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/0.48  % (2986801)CaDiCaL version: 2.1.3
% 0.17/0.48  % (2986801)Termination reason: Refutation
% 0.17/0.48  % (2986801)Time elapsed: 0.008 s
% 0.17/0.48  % (2986801)Peak memory usage: 11 MB
% 0.17/0.48  % (2986801)Instructions burned: 11 (million)
% 0.17/0.48  % (2986793)Success in time 0.043 s
% 0.17/0.48  % Vampire exiting
%------------------------------------------------------------------------------