TSTP Solution File: SYN069-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SYN069-1 : 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 : n010.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 19:36:47 EDT 2022

% Result   : Unsatisfiable 0.21s 0.50s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   28 (   7 unt;   0 def)
%            Number of atoms       :   80 (   0 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :  100 (  48   ~;  52   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    7 (   6 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   1 con; 0-1 aty)
%            Number of variables   :   19 (  19   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f30,plain,
    $false,
    inference(subsumption_resolution,[],[f29,f5]) ).

fof(f5,axiom,
    big_f(a),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_5) ).

fof(f29,plain,
    ~ big_f(a),
    inference(resolution,[],[f27,f8]) ).

fof(f8,axiom,
    ! [X0] :
      ( big_g(g(X0))
      | ~ big_f(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_8) ).

fof(f27,plain,
    ~ big_g(g(a)),
    inference(subsumption_resolution,[],[f26,f12]) ).

fof(f12,plain,
    ~ big_k(g(a)),
    inference(resolution,[],[f11,f4]) ).

fof(f4,axiom,
    ! [X0] :
      ( ~ big_l(X0)
      | ~ big_k(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_4) ).

fof(f11,plain,
    big_l(g(a)),
    inference(subsumption_resolution,[],[f10,f5]) ).

fof(f10,plain,
    ( ~ big_f(a)
    | big_l(g(a)) ),
    inference(resolution,[],[f6,f9]) ).

fof(f9,axiom,
    ! [X0] :
      ( big_h(X0,g(X0))
      | ~ big_f(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_9) ).

fof(f6,axiom,
    ! [X0] :
      ( ~ big_h(a,X0)
      | big_l(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_6) ).

fof(f26,plain,
    ( big_k(g(a))
    | ~ big_g(g(a)) ),
    inference(subsumption_resolution,[],[f25,f5]) ).

fof(f25,plain,
    ( ~ big_f(a)
    | big_k(g(a))
    | ~ big_g(g(a)) ),
    inference(resolution,[],[f24,f9]) ).

fof(f24,plain,
    ! [X0] :
      ( ~ big_h(a,X0)
      | big_k(X0)
      | ~ big_g(X0) ),
    inference(subsumption_resolution,[],[f23,f20]) ).

fof(f20,plain,
    ! [X0] :
      ( ~ big_h(a,X0)
      | big_k(X0)
      | big_h(a,f(a))
      | ~ big_g(X0) ),
    inference(resolution,[],[f2,f5]) ).

fof(f2,axiom,
    ! [X0,X1] :
      ( ~ big_f(X0)
      | big_k(X1)
      | big_h(X0,f(X0))
      | ~ big_h(X0,X1)
      | ~ big_g(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_2) ).

fof(f23,plain,
    ! [X0] :
      ( ~ big_h(a,f(a))
      | ~ big_g(X0)
      | big_k(X0)
      | ~ big_h(a,X0) ),
    inference(subsumption_resolution,[],[f22,f18]) ).

fof(f18,plain,
    big_g(f(a)),
    inference(subsumption_resolution,[],[f17,f12]) ).

fof(f17,plain,
    ( big_k(g(a))
    | big_g(f(a)) ),
    inference(subsumption_resolution,[],[f16,f5]) ).

fof(f16,plain,
    ( ~ big_f(a)
    | big_k(g(a))
    | big_g(f(a)) ),
    inference(duplicate_literal_removal,[],[f15]) ).

fof(f15,plain,
    ( ~ big_f(a)
    | ~ big_f(a)
    | big_g(f(a))
    | big_k(g(a)) ),
    inference(resolution,[],[f14,f9]) ).

fof(f14,plain,
    ! [X0] :
      ( ~ big_h(a,g(X0))
      | ~ big_f(X0)
      | big_k(g(X0))
      | big_g(f(a)) ),
    inference(resolution,[],[f13,f5]) ).

fof(f13,plain,
    ! [X0,X1] :
      ( ~ big_f(X1)
      | ~ big_f(X0)
      | big_k(g(X0))
      | ~ big_h(X1,g(X0))
      | big_g(f(X1)) ),
    inference(resolution,[],[f1,f8]) ).

fof(f1,axiom,
    ! [X0,X1] :
      ( ~ big_g(X1)
      | big_k(X1)
      | big_g(f(X0))
      | ~ big_f(X0)
      | ~ big_h(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_1) ).

fof(f22,plain,
    ! [X0] :
      ( big_k(X0)
      | ~ big_g(X0)
      | ~ big_h(a,X0)
      | ~ big_h(a,f(a))
      | ~ big_g(f(a)) ),
    inference(subsumption_resolution,[],[f21,f5]) ).

fof(f21,plain,
    ! [X0] :
      ( big_k(X0)
      | ~ big_f(a)
      | ~ big_g(f(a))
      | ~ big_g(X0)
      | ~ big_h(a,X0)
      | ~ big_h(a,f(a)) ),
    inference(resolution,[],[f3,f7]) ).

fof(f7,axiom,
    ! [X0] :
      ( big_j(a,X0)
      | ~ big_h(a,X0)
      | ~ big_g(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_7) ).

fof(f3,axiom,
    ! [X0,X1] :
      ( ~ big_j(X0,f(X0))
      | big_k(X1)
      | ~ big_f(X0)
      | ~ big_h(X0,X1)
      | ~ big_g(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_3) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SYN069-1 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.34  % Computer : n010.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit   : 300
% 0.14/0.34  % WCLimit    : 300
% 0.14/0.34  % DateTime   : Tue Aug 30 21:20:13 EDT 2022
% 0.14/0.34  % CPUTime    : 
% 0.21/0.49  % (3484)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/467Mi)
% 0.21/0.50  % (3468)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.21/0.50  % (3475)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 (3000ds/75Mi)
% 0.21/0.50  % (3460)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/191324Mi)
% 0.21/0.50  % (3468)Instruction limit reached!
% 0.21/0.50  % (3468)------------------------------
% 0.21/0.50  % (3468)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.50  % (3468)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.50  % (3468)Termination reason: Unknown
% 0.21/0.50  % (3468)Termination phase: Saturation
% 0.21/0.50  
% 0.21/0.50  % (3468)Memory used [KB]: 895
% 0.21/0.50  % (3468)Time elapsed: 0.003 s
% 0.21/0.50  % (3468)Instructions burned: 2 (million)
% 0.21/0.50  % (3468)------------------------------
% 0.21/0.50  % (3468)------------------------------
% 0.21/0.50  % (3475)First to succeed.
% 0.21/0.50  TRYING [1]
% 0.21/0.50  % (3467)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/7Mi)
% 0.21/0.50  TRYING [2]
% 0.21/0.50  TRYING [3]
% 0.21/0.50  % (3484)Also succeeded, but the first one will report.
% 0.21/0.50  % (3475)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  % (3475)------------------------------
% 0.21/0.50  % (3475)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.50  % (3475)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.50  % (3475)Termination reason: Refutation
% 0.21/0.50  
% 0.21/0.50  % (3475)Memory used [KB]: 895
% 0.21/0.50  % (3475)Time elapsed: 0.056 s
% 0.21/0.50  % (3475)Instructions burned: 1 (million)
% 0.21/0.50  % (3475)------------------------------
% 0.21/0.50  % (3475)------------------------------
% 0.21/0.50  % (3457)Success in time 0.151 s
%------------------------------------------------------------------------------