TSTP Solution File: ROB016-1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : ROB016-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n012.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 14:53:44 EDT 2024

% Result   : Unsatisfiable 0.19s 0.44s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    5
% Syntax   : Number of formulae    :    7 (   6 unt;   0 def)
%            Number of atoms       :    9 (   6 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :    5 (   3   ~;   2   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   2 avg)
%            Maximal term depth    :    8 (   3 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   3 con; 0-2 aty)
%            Number of variables   :    5 (   5   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1945,plain,
    $false,
    inference(unit_resulting_resolution,[],[f9,f817,f11,f10]) ).

fof(f10,axiom,
    ! [X0,X1,X4] :
      ( ~ positive_integer(X4)
      | negate(add(negate(X1),negate(add(X0,negate(X1))))) != X0
      | negate(X1) = negate(add(X1,multiply(X4,add(X0,negate(add(X0,negate(X1))))))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lemma_3_6) ).

fof(f11,axiom,
    negate(e) != negate(add(e,multiply(k,add(d,negate(add(d,negate(e))))))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_result) ).

fof(f817,plain,
    d = negate(add(negate(e),negate(add(d,negate(e))))),
    inference(superposition,[],[f3,f8]) ).

fof(f8,axiom,
    negate(add(d,e)) = negate(e),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',condition) ).

fof(f3,axiom,
    ! [X0,X1] : negate(add(negate(add(X0,X1)),negate(add(X0,negate(X1))))) = X0,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',robbins_axiom) ).

fof(f9,axiom,
    positive_integer(k),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',k_positive) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : ROB016-1 : TPTP v8.1.2. Released v1.0.0.
% 0.03/0.13  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.34  % Computer : n012.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Tue Apr 30 03:31:56 EDT 2024
% 0.13/0.34  % CPUTime    : 
% 0.13/0.35  % (7792)Running in auto input_syntax mode. Trying TPTP
% 0.19/0.36  % (7795)WARNING: value z3 for option sas not known
% 0.19/0.36  % (7799)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.19/0.36  % (7798)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.19/0.36  % (7797)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.19/0.36  % (7796)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.19/0.36  % (7795)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.19/0.36  % (7794)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.19/0.36  % (7793)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.19/0.36  TRYING [1]
% 0.19/0.36  TRYING [2]
% 0.19/0.37  TRYING [3]
% 0.19/0.37  TRYING [1]
% 0.19/0.37  TRYING [2]
% 0.19/0.38  TRYING [4]
% 0.19/0.38  TRYING [3]
% 0.19/0.43  TRYING [4]
% 0.19/0.44  % (7799)First to succeed.
% 0.19/0.44  % (7799)Refutation found. Thanks to Tanya!
% 0.19/0.44  % SZS status Unsatisfiable for theBenchmark
% 0.19/0.44  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.45  % (7799)------------------------------
% 0.19/0.45  % (7799)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.19/0.45  % (7799)Termination reason: Refutation
% 0.19/0.45  
% 0.19/0.45  % (7799)Memory used [KB]: 1591
% 0.19/0.45  % (7799)Time elapsed: 0.083 s
% 0.19/0.45  % (7799)Instructions burned: 184 (million)
% 0.19/0.45  % (7799)------------------------------
% 0.19/0.45  % (7799)------------------------------
% 0.19/0.45  % (7792)Success in time 0.097 s
%------------------------------------------------------------------------------