TSTP Solution File: LCL133-1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : LCL133-1 : 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 : n006.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 07:44:09 EDT 2024

% Result   : Unsatisfiable 0.17s 0.34s
% Output   : Refutation 0.17s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   21 (  21 unt;   0 def)
%            Number of atoms       :   21 (  20 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    2 (   2   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    3 (   2 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   3 con; 0-2 aty)
%            Number of variables   :   21 (  21   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f258,plain,
    $false,
    inference(subsumption_resolution,[],[f253,f111]) ).

fof(f111,plain,
    ! [X0] : truth = X0,
    inference(superposition,[],[f105,f36]) ).

fof(f36,plain,
    ! [X0] : implies(X0,X0) = X0,
    inference(forward_demodulation,[],[f35,f7]) ).

fof(f7,plain,
    ! [X0] : implies(X0,truth) = X0,
    inference(superposition,[],[f5,f1]) ).

fof(f1,axiom,
    ! [X0] : implies(truth,X0) = X0,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',wajsberg_1) ).

fof(f5,axiom,
    ! [X0,X1] : implies(X0,X1) = implies(X1,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lemma_antecedent) ).

fof(f35,plain,
    ! [X0] : implies(X0,truth) = implies(X0,X0),
    inference(forward_demodulation,[],[f15,f7]) ).

fof(f15,plain,
    ! [X0] : implies(implies(X0,truth),truth) = implies(X0,X0),
    inference(superposition,[],[f3,f1]) ).

fof(f3,axiom,
    ! [X0,X1] : implies(implies(X0,X1),X1) = implies(implies(X1,X0),X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',wajsberg_3) ).

fof(f105,plain,
    ! [X0] : truth = implies(X0,X0),
    inference(superposition,[],[f70,f98]) ).

fof(f98,plain,
    ! [X0] : not(X0) = X0,
    inference(forward_demodulation,[],[f97,f1]) ).

fof(f97,plain,
    ! [X0] : implies(truth,X0) = not(X0),
    inference(forward_demodulation,[],[f96,f70]) ).

fof(f96,plain,
    ! [X0] : not(X0) = implies(implies(X0,not(X0)),X0),
    inference(forward_demodulation,[],[f95,f5]) ).

fof(f95,plain,
    ! [X0] : not(X0) = implies(implies(not(X0),X0),X0),
    inference(forward_demodulation,[],[f89,f1]) ).

fof(f89,plain,
    ! [X0] : implies(implies(not(X0),X0),X0) = implies(truth,not(X0)),
    inference(superposition,[],[f3,f70]) ).

fof(f70,plain,
    ! [X0] : truth = implies(X0,not(X0)),
    inference(superposition,[],[f66,f5]) ).

fof(f66,plain,
    ! [X0] : truth = implies(not(X0),X0),
    inference(forward_demodulation,[],[f53,f36]) ).

fof(f53,plain,
    ! [X0] : truth = implies(not(X0),implies(X0,X0)),
    inference(superposition,[],[f4,f36]) ).

fof(f4,axiom,
    ! [X0,X1] : truth = implies(implies(not(X0),not(X1)),implies(X1,X0)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',wajsberg_4) ).

fof(f253,plain,
    truth != x,
    inference(superposition,[],[f6,f111]) ).

fof(f6,axiom,
    x != y,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_wajsberg_lemma) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09  % Problem    : LCL133-1 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.11  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.11/0.31  % Computer : n006.cluster.edu
% 0.11/0.31  % Model    : x86_64 x86_64
% 0.11/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31  % Memory   : 8042.1875MB
% 0.11/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31  % CPULimit   : 300
% 0.11/0.31  % WCLimit    : 300
% 0.11/0.31  % DateTime   : Fri May  3 13:44:04 EDT 2024
% 0.11/0.31  % CPUTime    : 
% 0.11/0.31  % (15550)Running in auto input_syntax mode. Trying TPTP
% 0.17/0.33  % (15553)WARNING: value z3 for option sas not known
% 0.17/0.33  % (15556)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)
% 0.17/0.33  % (15552)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.17/0.33  % (15555)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)
% 0.17/0.33  % (15551)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.17/0.33  % (15554)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.17/0.33  % (15557)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)
% 0.17/0.33  % (15553)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)
% 0.17/0.33  TRYING [1]
% 0.17/0.33  TRYING [2]
% 0.17/0.33  TRYING [1]
% 0.17/0.33  TRYING [3]
% 0.17/0.33  TRYING [2]
% 0.17/0.33  TRYING [4]
% 0.17/0.33  TRYING [3]
% 0.17/0.33  TRYING [1]
% 0.17/0.34  TRYING [2]
% 0.17/0.34  % (15553)First to succeed.
% 0.17/0.34  TRYING [3]
% 0.17/0.34  % (15553)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-15550"
% 0.17/0.34  % (15556)Also succeeded, but the first one will report.
% 0.17/0.34  % (15553)Refutation found. Thanks to Tanya!
% 0.17/0.34  % SZS status Unsatisfiable for theBenchmark
% 0.17/0.34  % SZS output start Proof for theBenchmark
% See solution above
% 0.17/0.34  % (15553)------------------------------
% 0.17/0.34  % (15553)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.17/0.34  % (15553)Termination reason: Refutation
% 0.17/0.34  
% 0.17/0.34  % (15553)Memory used [KB]: 868
% 0.17/0.34  % (15553)Time elapsed: 0.010 s
% 0.17/0.34  % (15553)Instructions burned: 15 (million)
% 0.17/0.34  % (15550)Success in time 0.025 s
%------------------------------------------------------------------------------