TSTP Solution File: PUZ025-1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : PUZ025-1 : 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_uns --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 18:10:44 EDT 2022

% Result   : Unsatisfiable 0.21s 0.50s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   17 (   6 unt;   0 def)
%            Number of atoms       :   40 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   50 (  27   ~;  23   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   5 con; 0-2 aty)
%            Number of variables   :   22 (  22   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f187,plain,
    $false,
    inference(subsumption_resolution,[],[f185,f161]) ).

fof(f161,plain,
    ~ a_truth(truthteller(c)),
    inference(resolution,[],[f160,f23]) ).

fof(f23,axiom,
    ask_1_if_2(c,equal_type(a,b)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ask_c_if_a_and_b_equal) ).

fof(f160,plain,
    ! [X0,X4] :
      ( ~ ask_1_if_2(X0,X4)
      | ~ a_truth(truthteller(X0)) ),
    inference(subsumption_resolution,[],[f159,f130]) ).

fof(f130,plain,
    ! [X0,X4] :
      ( ~ ask_1_if_2(X0,X4)
      | ~ a_truth(truthteller(X0))
      | ~ a_truth(X4) ),
    inference(subsumption_resolution,[],[f14,f24]) ).

fof(f24,axiom,
    ! [X6] : ~ answer(X6),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_there_is_an_answer) ).

fof(f14,axiom,
    ! [X0,X4] :
      ( ~ ask_1_if_2(X0,X4)
      | ~ a_truth(X4)
      | ~ a_truth(truthteller(X0))
      | answer(yes) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',truthteller_identifies_truths) ).

fof(f159,plain,
    ! [X0,X4] :
      ( a_truth(X4)
      | ~ ask_1_if_2(X0,X4)
      | ~ a_truth(truthteller(X0)) ),
    inference(subsumption_resolution,[],[f15,f24]) ).

fof(f15,axiom,
    ! [X0,X4] :
      ( ~ ask_1_if_2(X0,X4)
      | a_truth(X4)
      | answer(no)
      | ~ a_truth(truthteller(X0)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',truthteller_denies_lies) ).

fof(f185,plain,
    a_truth(truthteller(c)),
    inference(resolution,[],[f180,f1]) ).

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

fof(f180,plain,
    ~ a_truth(liar(c)),
    inference(resolution,[],[f179,f23]) ).

fof(f179,plain,
    ! [X0,X4] :
      ( ~ ask_1_if_2(X0,X4)
      | ~ a_truth(liar(X0)) ),
    inference(subsumption_resolution,[],[f178,f176]) ).

fof(f176,plain,
    ! [X0,X4] :
      ( ~ ask_1_if_2(X0,X4)
      | ~ a_truth(liar(X0))
      | ~ a_truth(X4) ),
    inference(subsumption_resolution,[],[f16,f24]) ).

fof(f16,axiom,
    ! [X0,X4] :
      ( ~ ask_1_if_2(X0,X4)
      | answer(no)
      | ~ a_truth(liar(X0))
      | ~ a_truth(X4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',liar_denies_truths) ).

fof(f178,plain,
    ! [X0,X4] :
      ( ~ a_truth(liar(X0))
      | ~ ask_1_if_2(X0,X4)
      | a_truth(X4) ),
    inference(subsumption_resolution,[],[f17,f24]) ).

fof(f17,axiom,
    ! [X0,X4] :
      ( ~ a_truth(liar(X0))
      | ~ ask_1_if_2(X0,X4)
      | a_truth(X4)
      | answer(yes) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',liar_supports_lies) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : PUZ025-1 : TPTP v8.1.0. Released v1.0.0.
% 0.11/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.35  % 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 10:38:18 EDT 2022
% 0.14/0.35  % CPUTime    : 
% 0.21/0.48  % (1167)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)
% 0.21/0.49  % (1176)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)
% 0.21/0.49  % (1160)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)
% 0.21/0.49  % (1160)First to succeed.
% 0.21/0.50  % (1160)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  % (1160)------------------------------
% 0.21/0.50  % (1160)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.50  % (1160)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.50  % (1160)Termination reason: Refutation
% 0.21/0.50  
% 0.21/0.50  % (1160)Memory used [KB]: 1407
% 0.21/0.50  % (1160)Time elapsed: 0.091 s
% 0.21/0.50  % (1160)Instructions burned: 5 (million)
% 0.21/0.50  % (1160)------------------------------
% 0.21/0.50  % (1160)------------------------------
% 0.21/0.50  % (1153)Success in time 0.139 s
%------------------------------------------------------------------------------