TSTP Solution File: COL074-3 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : COL074-3 : TPTP v8.1.2. Released v1.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n029.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 : Sun May  5 04:45:48 EDT 2024

% Result   : Unsatisfiable 0.21s 0.38s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   16 (  12 unt;   0 def)
%            Number of atoms       :   20 (  19 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :    5 (   1   ~;   4   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   6 con; 0-2 aty)
%            Number of variables   :    7 (   7   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f35,plain,
    $false,
    inference(subsumption_resolution,[],[f34,f10]) ).

fof(f10,axiom,
    projection1 != projection2,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',different_projections) ).

fof(f34,plain,
    projection1 = projection2,
    inference(forward_demodulation,[],[f33,f7]) ).

fof(f7,axiom,
    ! [X0] : projection1 = apply(eq,pair(X0,X0)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',equality) ).

fof(f33,plain,
    projection2 = apply(eq,pair(k_projection2,k_projection2)),
    inference(forward_demodulation,[],[f32,f12]) ).

fof(f12,axiom,
    apply(k,projection2) = k_projection2,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',k_projection2) ).

fof(f32,plain,
    projection2 = apply(eq,pair(apply(k,projection2),k_projection2)),
    inference(superposition,[],[f14,f30]) ).

fof(f30,plain,
    projection2 = s,
    inference(duplicate_literal_removal,[],[f29]) ).

fof(f29,plain,
    ( projection2 = s
    | projection2 = s ),
    inference(forward_demodulation,[],[f27,f16]) ).

fof(f16,plain,
    ! [X0] : projection2 = apply(k_projection2,X0),
    inference(superposition,[],[f1,f12]) ).

fof(f1,axiom,
    ! [X0,X1] : apply(apply(k,X0),X1) = X0,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',k_definition) ).

fof(f27,plain,
    ! [X0] :
      ( s = apply(k_projection2,X0)
      | projection2 = s ),
    inference(superposition,[],[f1,f23]) ).

fof(f23,plain,
    ( k_projection2 = apply(k,s)
    | projection2 = s ),
    inference(superposition,[],[f8,f14]) ).

fof(f8,axiom,
    ! [X0,X1] :
      ( projection2 = apply(eq,pair(X0,X1))
      | X0 = X1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',extensionality1) ).

fof(f14,plain,
    s = apply(eq,pair(apply(k,s),k_projection2)),
    inference(forward_demodulation,[],[f13,f12]) ).

fof(f13,axiom,
    s = apply(eq,pair(apply(k,s),apply(k,projection2))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',self_referential) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : COL074-3 : TPTP v8.1.2. Released v1.2.0.
% 0.03/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.36  % Computer : n029.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit   : 300
% 0.14/0.36  % WCLimit    : 300
% 0.14/0.36  % DateTime   : Fri May  3 18:28:08 EDT 2024
% 0.14/0.36  % CPUTime    : 
% 0.14/0.36  % (9437)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.37  % (9441)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.21/0.38  % (9440)WARNING: value z3 for option sas not known
% 0.21/0.38  TRYING [1]
% 0.21/0.38  TRYING [2]
% 0.21/0.38  % (9438)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.21/0.38  % (9440)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)
% 0.21/0.38  % (9439)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.21/0.38  % (9442)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)
% 0.21/0.38  % (9443)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)
% 0.21/0.38  % (9444)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)
% 0.21/0.38  TRYING [3]
% 0.21/0.38  % (9444)First to succeed.
% 0.21/0.38  % (9444)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-9437"
% 0.21/0.38  % (9444)Refutation found. Thanks to Tanya!
% 0.21/0.38  % SZS status Unsatisfiable for theBenchmark
% 0.21/0.38  % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.38  % (9444)------------------------------
% 0.21/0.38  % (9444)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.21/0.38  % (9444)Termination reason: Refutation
% 0.21/0.38  
% 0.21/0.38  % (9444)Memory used [KB]: 759
% 0.21/0.38  % (9444)Time elapsed: 0.004 s
% 0.21/0.38  % (9444)Instructions burned: 4 (million)
% 0.21/0.38  % (9437)Success in time 0.021 s
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