TSTP Solution File: SYN960+1 by Vampire-SAT---4.8

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SYN960+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n024.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 : Tue Apr 30 18:11:15 EDT 2024

% Result   : Theorem 0.14s 0.38s
% Output   : Refutation 0.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   15 (   3 unt;   0 def)
%            Number of atoms       :   33 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   30 (  12   ~;   9   |;   3   &)
%                                         (   3 <=>;   2  =>;   0  <=;   1 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   4 con; 0-0 aty)
%            Number of variables   :   48 (  20   !;  28   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f15,plain,
    $false,
    inference(subsumption_resolution,[],[f14,f13]) ).

fof(f13,plain,
    ! [X0,X1] : ~ a(X0,X1),
    inference(subsumption_resolution,[],[f12,f11]) ).

fof(f11,plain,
    ! [X2,X3,X0,X1] :
      ( ~ a(X1,X0)
      | ~ a(X2,X3) ),
    inference(cnf_transformation,[],[f9]) ).

fof(f9,plain,
    ( ( ! [X0,X1] : ~ a(X1,X0)
      | ! [X2,X3] : ~ a(X2,X3) )
    & ( a(sK1,sK0)
      | a(sK2,sK3) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f6,f8,f7]) ).

fof(f7,plain,
    ( ? [X4,X5] : a(X5,X4)
   => a(sK1,sK0) ),
    introduced(choice_axiom,[]) ).

fof(f8,plain,
    ( ? [X6,X7] : a(X6,X7)
   => a(sK2,sK3) ),
    introduced(choice_axiom,[]) ).

fof(f6,plain,
    ( ( ! [X0,X1] : ~ a(X1,X0)
      | ! [X2,X3] : ~ a(X2,X3) )
    & ( ? [X4,X5] : a(X5,X4)
      | ? [X6,X7] : a(X6,X7) ) ),
    inference(rectify,[],[f5]) ).

fof(f5,plain,
    ( ( ! [X2,X3] : ~ a(X3,X2)
      | ! [X0,X1] : ~ a(X0,X1) )
    & ( ? [X2,X3] : a(X3,X2)
      | ? [X0,X1] : a(X0,X1) ) ),
    inference(nnf_transformation,[],[f4]) ).

fof(f4,plain,
    ( ? [X0,X1] : a(X0,X1)
  <~> ? [X2,X3] : a(X3,X2) ),
    inference(ennf_transformation,[],[f3]) ).

fof(f3,plain,
    ~ ( ? [X0,X1] : a(X0,X1)
    <=> ? [X2,X3] : a(X3,X2) ),
    inference(rectify,[],[f2]) ).

fof(f2,negated_conjecture,
    ~ ( ? [X0,X1] : a(X0,X1)
    <=> ? [X1,X0] : a(X0,X1) ),
    inference(negated_conjecture,[],[f1]) ).

fof(f1,conjecture,
    ( ? [X0,X1] : a(X0,X1)
  <=> ? [X1,X0] : a(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).

fof(f12,plain,
    ! [X0,X1] :
      ( ~ a(X0,X1)
      | a(sK1,sK0) ),
    inference(resolution,[],[f11,f10]) ).

fof(f10,plain,
    ( a(sK2,sK3)
    | a(sK1,sK0) ),
    inference(cnf_transformation,[],[f9]) ).

fof(f14,plain,
    a(sK1,sK0),
    inference(resolution,[],[f13,f10]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : SYN960+1 : TPTP v8.1.2. Released v3.1.0.
% 0.07/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35  % Computer : n024.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 Apr 30 01:51:21 EDT 2024
% 0.14/0.36  % CPUTime    : 
% 0.14/0.36  % (8604)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.38  % (8609)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.14/0.38  % (8608)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.14/0.38  % (8606)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.38  % (8611)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on theBenchmark for (1451ds/0Mi)
% 0.14/0.38  % (8610)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.14/0.38  % (8607)dis-2_2:3_amm=sco:anc=none:bce=on:fsr=off:gsp=on:nm=16:nwc=1.2:nicw=on:sac=on:sp=weighted_frequency_476 on theBenchmark for (476ds/0Mi)
% 0.14/0.38  % (8605)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.14/0.38  Detected minimum model sizes of [1]
% 0.14/0.38  Detected minimum model sizes of [1]
% 0.14/0.38  Detected maximum model sizes of [4]
% 0.14/0.38  Detected maximum model sizes of [4]
% 0.14/0.38  Detected minimum model sizes of [1,1]
% 0.14/0.38  Detected maximum model sizes of [2,2]
% 0.14/0.38  TRYING [1]
% 0.14/0.38  TRYING [1]
% 0.14/0.38  Detected minimum model sizes of [1,1]
% 0.14/0.38  Detected maximum model sizes of [2,2]
% 0.14/0.38  TRYING [1,1]
% 0.14/0.38  TRYING [1,1]
% 0.14/0.38  TRYING [2]
% 0.14/0.38  TRYING [2]
% 0.14/0.38  TRYING [2,1]
% 0.14/0.38  % (8609)First to succeed.
% 0.14/0.38  TRYING [2,1]
% 0.14/0.38  TRYING [2,2]
% 0.14/0.38  TRYING [2,2]
% 0.14/0.38  Cannot enumerate next child to try in an incomplete setup
% 0.14/0.38  % (8606)Refutation not found, incomplete strategy% (8606)------------------------------
% 0.14/0.38  % (8606)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.14/0.38  % (8606)Termination reason: Refutation not found, incomplete strategy
% 0.14/0.38  
% 0.14/0.38  % (8606)Memory used [KB]: 723
% 0.14/0.38  % (8606)Time elapsed: 0.003 s
% 0.14/0.38  % (8606)Instructions burned: 2 (million)
% 0.14/0.38  % (8606)------------------------------
% 0.14/0.38  % (8606)------------------------------
% 0.14/0.38  Cannot enumerate next child to try in an incomplete setup
% 0.14/0.38  % (8608)Refutation not found, incomplete strategy% (8608)------------------------------
% 0.14/0.38  % (8608)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.14/0.38  % (8608)Termination reason: Refutation not found, incomplete strategy
% 0.14/0.38  
% 0.14/0.38  % (8608)Memory used [KB]: 723
% 0.14/0.38  % (8608)Time elapsed: 0.003 s
% 0.14/0.38  % (8608)Instructions burned: 2 (million)
% 0.14/0.38  % (8608)------------------------------
% 0.14/0.38  % (8608)------------------------------
% 0.14/0.38  % (8611)Also succeeded, but the first one will report.
% 0.14/0.38  % (8605)Also succeeded, but the first one will report.
% 0.14/0.38  % (8609)Refutation found. Thanks to Tanya!
% 0.14/0.38  % SZS status Theorem for theBenchmark
% 0.14/0.38  % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.38  % (8609)------------------------------
% 0.14/0.38  % (8609)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.14/0.38  % (8609)Termination reason: Refutation
% 0.14/0.38  
% 0.14/0.38  % (8609)Memory used [KB]: 742
% 0.14/0.38  % (8609)Time elapsed: 0.003 s
% 0.14/0.38  % (8609)Instructions burned: 2 (million)
% 0.14/0.38  % (8609)------------------------------
% 0.14/0.38  % (8609)------------------------------
% 0.14/0.38  % (8604)Success in time 0.018 s
%------------------------------------------------------------------------------