TSTP Solution File: LDA007-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : LDA007-1 : TPTP v8.1.0. Bugfixed 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 : n011.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 17:50:36 EDT 2022

% Result   : Unsatisfiable 0.16s 0.51s
% Output   : Refutation 0.16s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   25 (  22 unt;   3 typ;   0 def)
%            Number of atoms       :   22 (  21 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    8 (   8   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of types       :    4 (   0 usr;   3 ari)
%            Number of type conns  :    6 (   3   >;   3   *;   0   +;   0  <<)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   8 con; 0-2 aty)
%            Number of variables   :    6 (   6   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
tff(pred_def_3,type,
    sQ1_eqProxy: ( $int * $int ) > $o ).

tff(pred_def_4,type,
    sQ2_eqProxy: ( $rat * $rat ) > $o ).

tff(pred_def_5,type,
    sQ3_eqProxy: ( $real * $real ) > $o ).

fof(f141,plain,
    $false,
    inference(subsumption_resolution,[],[f132,f39]) ).

fof(f39,plain,
    ! [X2,X0,X1] : f(X0,f(X1,X2)) = f(f(X0,X1),f(X0,X2)),
    inference(literal_reordering,[],[f1]) ).

fof(f1,axiom,
    ! [X2,X0,X1] : f(X0,f(X1,X2)) = f(f(X0,X1),f(X0,X2)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a1) ).

fof(f132,plain,
    f(f(t,f(t,s)),f(t,k)) != f(t,f(f(t,s),k)),
    inference(backward_demodulation,[],[f122,f39]) ).

fof(f122,plain,
    f(t,f(f(t,s),k)) != f(f(f(t,t),f(t,s)),f(t,k)),
    inference(forward_demodulation,[],[f95,f90]) ).

fof(f90,plain,
    tsk = f(f(t,s),k),
    inference(forward_demodulation,[],[f32,f27]) ).

fof(f27,plain,
    ts = f(t,s),
    inference(literal_reordering,[],[f12]) ).

fof(f12,axiom,
    ts = f(t,s),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_3) ).

fof(f32,plain,
    tsk = f(ts,k),
    inference(literal_reordering,[],[f18]) ).

fof(f18,axiom,
    tsk = f(ts,k),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_9) ).

fof(f95,plain,
    f(t,tsk) != f(f(f(t,t),f(t,s)),f(t,k)),
    inference(forward_demodulation,[],[f94,f33]) ).

fof(f33,plain,
    tt = f(t,t),
    inference(literal_reordering,[],[f10]) ).

fof(f10,axiom,
    tt = f(t,t),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_1) ).

fof(f94,plain,
    f(t,tsk) != f(f(tt,f(t,s)),f(t,k)),
    inference(forward_demodulation,[],[f93,f27]) ).

fof(f93,plain,
    f(t,tsk) != f(f(tt,ts),f(t,k)),
    inference(forward_demodulation,[],[f84,f29]) ).

fof(f29,plain,
    tk = f(t,k),
    inference(literal_reordering,[],[f16]) ).

fof(f16,axiom,
    tk = f(t,k),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_7) ).

fof(f84,plain,
    f(t,tsk) != f(f(tt,ts),tk),
    inference(backward_demodulation,[],[f38,f25]) ).

fof(f25,plain,
    tt_ts = f(tt,ts),
    inference(literal_reordering,[],[f13]) ).

fof(f13,axiom,
    tt_ts = f(tt,ts),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_4) ).

fof(f38,plain,
    f(t,tsk) != f(tt_ts,tk),
    inference(literal_reordering,[],[f20]) ).

fof(f20,axiom,
    f(t,tsk) != f(tt_ts,tk),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_equation) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.11  % Problem    : LDA007-1 : TPTP v8.1.0. Bugfixed v2.6.0.
% 0.05/0.12  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.10/0.32  % Computer : n011.cluster.edu
% 0.10/0.32  % Model    : x86_64 x86_64
% 0.10/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32  % Memory   : 8042.1875MB
% 0.10/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32  % CPULimit   : 300
% 0.10/0.32  % WCLimit    : 300
% 0.10/0.32  % DateTime   : Tue Aug 30 02:59:10 EDT 2022
% 0.10/0.32  % CPUTime    : 
% 0.16/0.48  % (7914)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.16/0.48  % (7932)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.16/0.48  % (7915)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.16/0.49  % (7922)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.16/0.49  % (7924)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.16/0.49  % (7916)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.16/0.49  TRYING [1]
% 0.16/0.49  % (7930)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.16/0.49  % (7916)Instruction limit reached!
% 0.16/0.49  % (7916)------------------------------
% 0.16/0.49  % (7916)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.49  % (7916)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.49  % (7916)Termination reason: Unknown
% 0.16/0.49  % (7916)Termination phase: Saturation
% 0.16/0.49  
% 0.16/0.49  % (7916)Memory used [KB]: 5373
% 0.16/0.49  % (7916)Time elapsed: 0.103 s
% 0.16/0.49  % (7916)Instructions burned: 2 (million)
% 0.16/0.49  % (7916)------------------------------
% 0.16/0.49  % (7916)------------------------------
% 0.16/0.49  % (7915)Instruction limit reached!
% 0.16/0.49  % (7915)------------------------------
% 0.16/0.49  % (7915)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.49  % (7931)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 (2999ds/467Mi)
% 0.16/0.49  % (7915)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.49  % (7915)Termination reason: Unknown
% 0.16/0.49  % (7915)Termination phase: Saturation
% 0.16/0.49  
% 0.16/0.49  % (7915)Memory used [KB]: 5500
% 0.16/0.49  % (7915)Time elapsed: 0.100 s
% 0.16/0.49  % (7915)Instructions burned: 7 (million)
% 0.16/0.49  % (7915)------------------------------
% 0.16/0.49  % (7915)------------------------------
% 0.16/0.50  % (7923)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 (2999ds/75Mi)
% 0.16/0.50  TRYING [2]
% 0.16/0.50  TRYING [3]
% 0.16/0.50  % (7922)First to succeed.
% 0.16/0.51  % (7922)Refutation found. Thanks to Tanya!
% 0.16/0.51  % SZS status Unsatisfiable for theBenchmark
% 0.16/0.51  % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.51  % (7922)------------------------------
% 0.16/0.51  % (7922)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.51  % (7922)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.51  % (7922)Termination reason: Refutation
% 0.16/0.51  
% 0.16/0.51  % (7922)Memory used [KB]: 5756
% 0.16/0.51  % (7922)Time elapsed: 0.009 s
% 0.16/0.51  % (7922)Instructions burned: 6 (million)
% 0.16/0.51  % (7922)------------------------------
% 0.16/0.51  % (7922)------------------------------
% 0.16/0.51  % (7907)Success in time 0.179 s
%------------------------------------------------------------------------------