TSTP Solution File: LCL161-1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : LCL161-1 : TPTP v8.2.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n016.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 May 21 00:12:47 EDT 2024

% Result   : Unsatisfiable 0.56s 0.75s
% Output   : Refutation 0.56s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   16 (  16 unt;   0 def)
%            Number of atoms       :   16 (  15 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    4 (   4   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    3 (   2 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   3 con; 0-2 aty)
%            Number of variables   :   15 (  15   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f103,plain,
    $false,
    inference(trivial_inequality_removal,[],[f100]) ).

fof(f100,plain,
    x != x,
    inference(superposition,[],[f45,f89]) ).

fof(f89,plain,
    ! [X0] : xor(truth,xor(truth,X0)) = X0,
    inference(forward_demodulation,[],[f74,f21]) ).

fof(f21,plain,
    ! [X0] : xor(falsehood,X0) = X0,
    inference(superposition,[],[f9,f2]) ).

fof(f2,axiom,
    ! [X0] : xor(X0,falsehood) = X0,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).

fof(f9,axiom,
    ! [X0,X1] : xor(X0,X1) = xor(X1,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',xor_commutativity) ).

fof(f74,plain,
    ! [X0] : xor(falsehood,X0) = xor(truth,xor(truth,X0)),
    inference(superposition,[],[f7,f3]) ).

fof(f3,axiom,
    ! [X0] : falsehood = xor(X0,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).

fof(f7,axiom,
    ! [X0,X1] : xor(X0,xor(truth,X1)) = xor(xor(X0,truth),X1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_7) ).

fof(f45,plain,
    x != xor(truth,xor(truth,x)),
    inference(superposition,[],[f16,f31]) ).

fof(f31,plain,
    ! [X0] : and_star(truth,X0) = X0,
    inference(superposition,[],[f11,f4]) ).

fof(f4,axiom,
    ! [X0] : and_star(X0,truth) = X0,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4) ).

fof(f11,axiom,
    ! [X0,X1] : and_star(X0,X1) = and_star(X1,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',and_star_commutativity) ).

fof(f16,plain,
    x != xor(truth,and_star(truth,xor(truth,x))),
    inference(definition_unfolding,[],[f14,f13]) ).

fof(f13,axiom,
    ! [X0,X1] : implies(X0,X1) = xor(truth,and_star(X0,xor(truth,X1))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',implies_definition) ).

fof(f14,axiom,
    x != implies(truth,x),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_wajsberg_axiom) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : LCL161-1 : TPTP v8.2.0. Released v1.0.0.
% 0.07/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.15/0.35  % Computer : n016.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit   : 300
% 0.15/0.35  % WCLimit    : 300
% 0.15/0.35  % DateTime   : Mon May 20 02:59:53 EDT 2024
% 0.15/0.35  % CPUTime    : 
% 0.15/0.35  This is a CNF_UNS_RFO_PEQ_UEQ problem
% 0.15/0.35  Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.56/0.74  % (1225)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on theBenchmark for (2996ds/56Mi)
% 0.56/0.74  % (1225)Refutation not found, incomplete strategy% (1225)------------------------------
% 0.56/0.74  % (1225)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.74  % (1225)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.74  
% 0.56/0.74  % (1225)Memory used [KB]: 968
% 0.56/0.74  % (1225)Time elapsed: 0.002 s
% 0.56/0.74  % (1225)Instructions burned: 2 (million)
% 0.56/0.74  % (1225)------------------------------
% 0.56/0.74  % (1225)------------------------------
% 0.56/0.74  % (1218)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on theBenchmark for (2996ds/34Mi)
% 0.56/0.74  % (1219)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on theBenchmark for (2996ds/51Mi)
% 0.56/0.74  % (1220)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2996ds/78Mi)
% 0.56/0.74  % (1222)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on theBenchmark for (2996ds/34Mi)
% 0.56/0.74  % (1223)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2996ds/45Mi)
% 0.56/0.74  % (1221)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2996ds/33Mi)
% 0.56/0.74  % (1224)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on theBenchmark for (2996ds/83Mi)
% 0.56/0.75  % (1222)Refutation not found, incomplete strategy% (1222)------------------------------
% 0.56/0.75  % (1222)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.75  % (1221)Refutation not found, incomplete strategy% (1221)------------------------------
% 0.56/0.75  % (1221)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.75  % (1222)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.75  
% 0.56/0.75  % (1222)Memory used [KB]: 982
% 0.56/0.75  % (1222)Time elapsed: 0.002 s
% 0.56/0.75  % (1222)Instructions burned: 2 (million)
% 0.56/0.75  % (1221)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.75  % (1218)Refutation not found, incomplete strategy% (1218)------------------------------
% 0.56/0.75  % (1218)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.75  % (1218)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.75  
% 0.56/0.75  % (1218)Memory used [KB]: 984
% 0.56/0.75  % (1218)Time elapsed: 0.003 s
% 0.56/0.75  % (1218)Instructions burned: 2 (million)
% 0.56/0.75  
% 0.56/0.75  % (1221)Memory used [KB]: 968
% 0.56/0.75  % (1223)Refutation not found, incomplete strategy% (1223)------------------------------
% 0.56/0.75  % (1223)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.75  % (1221)Time elapsed: 0.003 s
% 0.56/0.75  % (1221)Instructions burned: 2 (million)
% 0.56/0.75  % (1223)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.75  
% 0.56/0.75  % (1223)Memory used [KB]: 969
% 0.56/0.75  % (1223)Time elapsed: 0.003 s
% 0.56/0.75  % (1223)Instructions burned: 2 (million)
% 0.56/0.75  % (1222)------------------------------
% 0.56/0.75  % (1222)------------------------------
% 0.56/0.75  % (1218)------------------------------
% 0.56/0.75  % (1218)------------------------------
% 0.56/0.75  % (1224)Refutation not found, incomplete strategy% (1224)------------------------------
% 0.56/0.75  % (1224)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.75  % (1221)------------------------------
% 0.56/0.75  % (1221)------------------------------
% 0.56/0.75  % (1224)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.75  
% 0.56/0.75  % (1224)Memory used [KB]: 970
% 0.56/0.75  % (1224)Time elapsed: 0.003 s
% 0.56/0.75  % (1224)Instructions burned: 2 (million)
% 0.56/0.75  % (1223)------------------------------
% 0.56/0.75  % (1223)------------------------------
% 0.56/0.75  % (1224)------------------------------
% 0.56/0.75  % (1224)------------------------------
% 0.56/0.75  % (1227)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on theBenchmark for (2996ds/55Mi)
% 0.56/0.75  % (1219)First to succeed.
% 0.56/0.75  % (1219)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1054"
% 0.56/0.75  % (1227)Also succeeded, but the first one will report.
% 0.56/0.75  % (1219)Refutation found. Thanks to Tanya!
% 0.56/0.75  % SZS status Unsatisfiable for theBenchmark
% 0.56/0.75  % SZS output start Proof for theBenchmark
% See solution above
% 0.56/0.75  % (1219)------------------------------
% 0.56/0.75  % (1219)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.75  % (1219)Termination reason: Refutation
% 0.56/0.75  
% 0.56/0.75  % (1219)Memory used [KB]: 1051
% 0.56/0.75  % (1219)Time elapsed: 0.005 s
% 0.56/0.75  % (1219)Instructions burned: 6 (million)
% 0.56/0.75  % (1054)Success in time 0.387 s
% 0.56/0.75  % Vampire---4.8 exiting
%------------------------------------------------------------------------------