TSTP Solution File: LCL041-1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : LCL041-1 : 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 : n008.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 17:37:59 EDT 2022

% Result   : Unsatisfiable 0.19s 0.54s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   11 (   7 unt;   0 def)
%            Number of atoms       :   17 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   16 (  10   ~;   6   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-1 aty)
%            Number of functors    :    4 (   4 usr;   2 con; 0-2 aty)
%            Number of variables   :   16 (  16   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f199,plain,
    $false,
    inference(subsumption_resolution,[],[f196,f2]) ).

fof(f2,axiom,
    ! [X0,X1] : is_a_theorem(implies(X0,implies(not(X0),X1))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cn_3) ).

fof(f196,plain,
    ~ is_a_theorem(implies(a,implies(not(a),b))),
    inference(resolution,[],[f186,f29]) ).

fof(f29,plain,
    ! [X2,X0,X1] :
      ( is_a_theorem(implies(X0,implies(X1,X2)))
      | ~ is_a_theorem(implies(X1,implies(X0,X2))) ),
    inference(resolution,[],[f4,f1]) ).

fof(f1,axiom,
    ! [X0,X1] :
      ( ~ is_a_theorem(implies(X0,X1))
      | is_a_theorem(X1)
      | ~ is_a_theorem(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',condensed_detachment) ).

fof(f4,axiom,
    ! [X2,X0,X1] : is_a_theorem(implies(implies(X0,implies(X1,X2)),implies(X1,implies(X0,X2)))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cn_21) ).

fof(f186,plain,
    ~ is_a_theorem(implies(not(a),implies(a,b))),
    inference(resolution,[],[f86,f6]) ).

fof(f6,axiom,
    ! [X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(not(X0),X1),X1))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cn_54) ).

fof(f86,plain,
    ! [X10] :
      ( ~ is_a_theorem(implies(implies(a,implies(a,b)),implies(X10,implies(a,b))))
      | ~ is_a_theorem(X10) ),
    inference(resolution,[],[f40,f7]) ).

fof(f7,axiom,
    ~ is_a_theorem(implies(implies(a,implies(a,b)),implies(a,b))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_cn_30) ).

fof(f40,plain,
    ! [X3,X4,X5] :
      ( is_a_theorem(implies(X3,X5))
      | ~ is_a_theorem(implies(X3,implies(X4,X5)))
      | ~ is_a_theorem(X4) ),
    inference(resolution,[],[f29,f1]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : LCL041-1 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.34  % Computer : n008.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit   : 300
% 0.12/0.34  % WCLimit    : 300
% 0.12/0.34  % DateTime   : Tue Aug 30 01:34:55 EDT 2022
% 0.12/0.34  % CPUTime    : 
% 0.19/0.51  % (1969)dis+4_1:1_bd=off:cond=fast:fde=unused:lcm=reverse:lma=on:nicw=on:nwc=2.0:s2a=on:s2agt=16:sac=on:sp=frequency:i=23:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/23Mi)
% 0.19/0.52  % (1977)lrs+1011_1:1_afp=100000:afr=on:amm=sco:bd=preordered:cond=fast:newcnf=on:nm=4:sos=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.52  % (1964)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)
% 0.19/0.53  % (1969)First to succeed.
% 0.19/0.53  % (1963)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.19/0.53  % (1977)Instruction limit reached!
% 0.19/0.53  % (1977)------------------------------
% 0.19/0.53  % (1977)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53  % (1977)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53  % (1977)Termination reason: Unknown
% 0.19/0.53  % (1977)Termination phase: Saturation
% 0.19/0.53  
% 0.19/0.53  % (1977)Memory used [KB]: 5884
% 0.19/0.53  % (1977)Time elapsed: 0.150 s
% 0.19/0.53  % (1977)Instructions burned: 8 (million)
% 0.19/0.53  % (1977)------------------------------
% 0.19/0.53  % (1977)------------------------------
% 0.19/0.54  % (1985)lrs+10_1:1_av=off:sd=2:sos=on:sp=reverse_arity:ss=axioms:to=lpo:i=73:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/73Mi)
% 0.19/0.54  % (1985)Refutation not found, incomplete strategy% (1985)------------------------------
% 0.19/0.54  % (1985)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54  % (1985)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54  % (1985)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.54  
% 0.19/0.54  % (1985)Memory used [KB]: 1279
% 0.19/0.54  % (1985)Time elapsed: 0.142 s
% 0.19/0.54  % (1985)Instructions burned: 1 (million)
% 0.19/0.54  % (1985)------------------------------
% 0.19/0.54  % (1985)------------------------------
% 0.19/0.54  % (1964)Also succeeded, but the first one will report.
% 0.19/0.54  % (1969)Refutation found. Thanks to Tanya!
% 0.19/0.54  % SZS status Unsatisfiable for theBenchmark
% 0.19/0.54  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.54  % (1969)------------------------------
% 0.19/0.54  % (1969)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54  % (1969)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54  % (1969)Termination reason: Refutation
% 0.19/0.54  
% 0.19/0.54  % (1969)Memory used [KB]: 5884
% 0.19/0.54  % (1969)Time elapsed: 0.132 s
% 0.19/0.54  % (1969)Instructions burned: 10 (million)
% 0.19/0.54  % (1969)------------------------------
% 0.19/0.54  % (1969)------------------------------
% 0.19/0.54  % (1957)Success in time 0.187 s
%------------------------------------------------------------------------------