TSTP Solution File: LAT090-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : LAT090-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s

% Computer : n001.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 : Wed Aug 31 17:36:03 EDT 2022

% Result   : Unsatisfiable 0.21s 0.52s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    6
% 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 :    4 (   2 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   1 con; 0-2 aty)
%            Number of variables   :   29 (  29   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f148,plain,
    $false,
    inference(trivial_inequality_removal,[],[f147]) ).

fof(f147,plain,
    a != a,
    inference(superposition,[],[f6,f104]) ).

fof(f104,plain,
    ! [X4] : join(X4,X4) = X4,
    inference(forward_demodulation,[],[f103,f79]) ).

fof(f79,plain,
    ! [X5] : join(meet(X5,join(X5,X5)),X5) = X5,
    inference(forward_demodulation,[],[f71,f65]) ).

fof(f65,plain,
    ! [X0] : meet(X0,X0) = X0,
    inference(forward_demodulation,[],[f56,f4]) ).

fof(f4,axiom,
    ! [X2,X0,X1] : meet(meet(join(X0,X1),join(X2,X0)),X0) = X0,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',wal_absorbtion_4) ).

fof(f56,plain,
    ! [X2,X0,X1] : meet(meet(meet(join(X0,X1),join(X2,X0)),X0),X0) = X0,
    inference(superposition,[],[f37,f4]) ).

fof(f37,plain,
    ! [X0,X1] : meet(X0,X1) = meet(meet(X0,meet(X0,X1)),meet(X0,X1)),
    inference(superposition,[],[f28,f1]) ).

fof(f1,axiom,
    ! [X0,X1] : join(meet(X0,X1),meet(X0,join(X0,X1))) = X0,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',wal_absorbtion_1) ).

fof(f28,plain,
    ! [X3,X0] : meet(meet(join(X0,X3),X0),X0) = X0,
    inference(superposition,[],[f4,f5]) ).

fof(f5,axiom,
    ! [X2,X0,X1] : join(join(meet(X0,X1),meet(X2,X0)),X0) = X0,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',wal_absorbtion_5) ).

fof(f71,plain,
    ! [X5] : join(meet(X5,join(X5,X5)),meet(X5,X5)) = X5,
    inference(backward_demodulation,[],[f25,f65]) ).

fof(f25,plain,
    ! [X5] : meet(X5,X5) = join(meet(meet(X5,X5),join(X5,X5)),meet(meet(X5,X5),X5)),
    inference(superposition,[],[f1,f21]) ).

fof(f21,plain,
    ! [X6] : join(meet(X6,X6),join(X6,X6)) = X6,
    inference(superposition,[],[f2,f4]) ).

fof(f2,axiom,
    ! [X0,X1] : join(meet(X0,X0),meet(X1,join(X0,X0))) = X0,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',wal_absorbtion_2) ).

fof(f103,plain,
    ! [X4] : join(meet(X4,join(X4,X4)),X4) = join(X4,X4),
    inference(backward_demodulation,[],[f70,f102]) ).

fof(f102,plain,
    ! [X9] : meet(join(X9,X9),X9) = X9,
    inference(superposition,[],[f4,f65]) ).

fof(f70,plain,
    ! [X4] : join(meet(X4,join(X4,X4)),meet(join(X4,X4),X4)) = join(X4,X4),
    inference(backward_demodulation,[],[f24,f65]) ).

fof(f24,plain,
    ! [X4] : join(meet(meet(X4,X4),join(X4,X4)),meet(join(X4,X4),X4)) = join(X4,X4),
    inference(superposition,[],[f3,f21]) ).

fof(f3,axiom,
    ! [X0,X1] : join(meet(X0,X1),meet(X1,join(X0,X1))) = X1,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',wal_absorbtion_3) ).

fof(f6,axiom,
    a != join(a,a),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_normal_axioms_3) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13  % Problem    : LAT090-1 : TPTP v8.1.0. Released v2.6.0.
% 0.04/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.35  % Computer : n001.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 Aug 30 01:07:45 EDT 2022
% 0.14/0.35  % CPUTime    : 
% 0.21/0.48  % (10009)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.21/0.49  % (10000)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/50Mi)
% 0.21/0.50  % (10009)First to succeed.
% 0.21/0.50  % (10015)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/75Mi)
% 0.21/0.50  % (10023)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/467Mi)
% 0.21/0.50  % (10007)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/7Mi)
% 0.21/0.51  % (10001)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/37Mi)
% 0.21/0.51  % (10002)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.21/0.51  % (10003)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.21/0.51  % (10021)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/138Mi)
% 0.21/0.51  % (10007)Instruction limit reached!
% 0.21/0.51  % (10007)------------------------------
% 0.21/0.51  % (10007)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.51  % (10007)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.51  % (10007)Termination reason: Unknown
% 0.21/0.51  % (10007)Termination phase: Saturation
% 0.21/0.51  
% 0.21/0.51  % (10007)Memory used [KB]: 5500
% 0.21/0.51  % (10007)Time elapsed: 0.068 s
% 0.21/0.51  % (10007)Instructions burned: 7 (million)
% 0.21/0.51  % (10007)------------------------------
% 0.21/0.51  % (10007)------------------------------
% 0.21/0.51  % (10004)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/48Mi)
% 0.21/0.52  % (10017)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/59Mi)
% 0.21/0.52  TRYING [1]
% 0.21/0.52  TRYING [2]
% 0.21/0.52  % (10000)Also succeeded, but the first one will report.
% 0.21/0.52  % (10009)Refutation found. Thanks to Tanya!
% 0.21/0.52  % SZS status Unsatisfiable for theBenchmark
% 0.21/0.52  % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.52  % (10009)------------------------------
% 0.21/0.52  % (10009)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.52  % (10009)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.52  % (10009)Termination reason: Refutation
% 0.21/0.52  
% 0.21/0.52  % (10009)Memory used [KB]: 1023
% 0.21/0.52  % (10009)Time elapsed: 0.111 s
% 0.21/0.52  % (10009)Instructions burned: 11 (million)
% 0.21/0.52  % (10009)------------------------------
% 0.21/0.52  % (10009)------------------------------
% 0.21/0.52  % (9998)Success in time 0.162 s
%------------------------------------------------------------------------------