TSTP Solution File: PUZ023-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : PUZ023-1 : TPTP v8.1.0. Released v1.0.0.
% 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 : n005.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 18:11:34 EDT 2022

% Result   : Unsatisfiable 0.21s 0.50s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   18 (   5 unt;   0 def)
%            Number of atoms       :   38 (   0 equ)
%            Maximal formula atoms :    3 (   2 avg)
%            Number of connectives :   35 (  15   ~;  20   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-1 aty)
%            Number of functors    :    8 (   8 usr;   6 con; 0-1 aty)
%            Number of variables   :    2 (   2   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f36,plain,
    $false,
    inference(subsumption_resolution,[],[f35,f22]) ).

fof(f22,axiom,
    ! [X0] : ~ an_answer(X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_there_is_an_answer) ).

fof(f35,plain,
    an_answer(b_and_c_truthtellers),
    inference(subsumption_resolution,[],[f34,f28]) ).

fof(f28,plain,
    a_truth(truthteller(b)),
    inference(subsumption_resolution,[],[f27,f25]) ).

fof(f25,plain,
    ( a_truth(truthteller(c))
    | a_truth(truthteller(b)) ),
    inference(resolution,[],[f24,f1]) ).

fof(f1,axiom,
    ! [X0] :
      ( a_truth(liar(X0))
      | a_truth(truthteller(X0)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',truthteller_or_liar) ).

fof(f24,plain,
    ( ~ a_truth(liar(b))
    | a_truth(truthteller(c)) ),
    inference(subsumption_resolution,[],[f23,f22]) ).

fof(f23,plain,
    ( a_truth(truthteller(c))
    | ~ a_truth(liar(b))
    | an_answer(b_and_c_liars) ),
    inference(resolution,[],[f18,f1]) ).

fof(f18,axiom,
    ( ~ a_truth(liar(c))
    | ~ a_truth(liar(b))
    | an_answer(b_and_c_liars) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_and_c_liars) ).

fof(f27,plain,
    ( a_truth(truthteller(b))
    | ~ a_truth(truthteller(c)) ),
    inference(subsumption_resolution,[],[f26,f22]) ).

fof(f26,plain,
    ( ~ a_truth(truthteller(c))
    | an_answer(b_liar_and_c_truthteller)
    | a_truth(truthteller(b)) ),
    inference(resolution,[],[f19,f1]) ).

fof(f19,axiom,
    ( ~ a_truth(liar(b))
    | ~ a_truth(truthteller(c))
    | an_answer(b_liar_and_c_truthteller) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_liar_and_c_truthteller) ).

fof(f34,plain,
    ( ~ a_truth(truthteller(b))
    | an_answer(b_and_c_truthtellers) ),
    inference(resolution,[],[f32,f21]) ).

fof(f21,axiom,
    ( ~ a_truth(truthteller(c))
    | ~ a_truth(truthteller(b))
    | an_answer(b_and_c_truthtellers) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_and_c_truthtellers) ).

fof(f32,plain,
    a_truth(truthteller(c)),
    inference(subsumption_resolution,[],[f31,f22]) ).

fof(f31,plain,
    ( an_answer(b_truthteller_and_c_liar)
    | a_truth(truthteller(c)) ),
    inference(subsumption_resolution,[],[f30,f28]) ).

fof(f30,plain,
    ( a_truth(truthteller(c))
    | ~ a_truth(truthteller(b))
    | an_answer(b_truthteller_and_c_liar) ),
    inference(resolution,[],[f20,f1]) ).

fof(f20,axiom,
    ( ~ a_truth(liar(c))
    | an_answer(b_truthteller_and_c_liar)
    | ~ a_truth(truthteller(b)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_truthteller_and_c_liar) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem    : PUZ023-1 : TPTP v8.1.0. Released v1.0.0.
% 0.12/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.35  % Computer : n005.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Tue Aug 30 10:37:33 EDT 2022
% 0.14/0.35  % CPUTime    : 
% 0.21/0.48  % (30554)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)
% 0.21/0.48  % (30554)First to succeed.
% 0.21/0.48  % (30571)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)
% 0.21/0.49  % (30557)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)
% 0.21/0.50  % (30564)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.21/0.50  % (30557)Also succeeded, but the first one will report.
% 0.21/0.50  % (30567)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)
% 0.21/0.50  % (30553)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)
% 0.21/0.50  % (30578)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)
% 0.21/0.50  % (30554)Refutation found. Thanks to Tanya!
% 0.21/0.50  % SZS status Unsatisfiable for theBenchmark
% 0.21/0.50  % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.50  % (30554)------------------------------
% 0.21/0.50  % (30554)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.50  % (30554)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.50  % (30554)Termination reason: Refutation
% 0.21/0.50  
% 0.21/0.50  % (30554)Memory used [KB]: 895
% 0.21/0.50  % (30554)Time elapsed: 0.075 s
% 0.21/0.50  % (30554)Instructions burned: 2 (million)
% 0.21/0.50  % (30554)------------------------------
% 0.21/0.50  % (30554)------------------------------
% 0.21/0.50  % (30551)Success in time 0.138 s
%------------------------------------------------------------------------------