TSTP Solution File: SWV580-1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SWV580-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s

% Computer : n010.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 18:53:19 EDT 2022

% Result   : Unsatisfiable 0.18s 0.55s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   10 (   7 unt;   0 def)
%            Number of atoms       :   15 (   2 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   15 (  10   ~;   5   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   2 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-3 aty)
%            Number of functors    :   13 (  13 usr;   6 con; 0-4 aty)
%            Number of variables   :    3 (   3   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f672,plain,
    $false,
    inference(subsumption_resolution,[],[f671,f552]) ).

fof(f552,axiom,
    c_HOL_Oord__class_Oless(v_m,v_n,tc_nat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_CHAINED_0) ).

fof(f671,plain,
    ~ c_HOL_Oord__class_Oless(v_m,v_n,tc_nat),
    inference(subsumption_resolution,[],[f670,f603]) ).

fof(f603,plain,
    sP0(c_Finite__Set_Osetsum(v_f,c_SetInterval_Oord__class_OatLeastLessThan(v_m,v_n,tc_nat),tc_nat,t_a)),
    inference(inequality_splitting,[],[f554,f602]) ).

fof(f602,plain,
    ~ sP0(c_Finite__Set_Osetsum(v_f,c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(v_m,c_Orderings_Obot__class_Obot(tc_fun(tc_nat,tc_bool)),tc_nat),c_SetInterval_Oord__class_OgreaterThanLessThan(v_m,v_n,tc_nat),tc_fun(tc_nat,tc_bool)),tc_nat,t_a)),
    introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP0])]) ).

fof(f554,axiom,
    c_Finite__Set_Osetsum(v_f,c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(v_m,c_Orderings_Obot__class_Obot(tc_fun(tc_nat,tc_bool)),tc_nat),c_SetInterval_Oord__class_OgreaterThanLessThan(v_m,v_n,tc_nat),tc_fun(tc_nat,tc_bool)),tc_nat,t_a) != c_Finite__Set_Osetsum(v_f,c_SetInterval_Oord__class_OatLeastLessThan(v_m,v_n,tc_nat),tc_nat,t_a),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).

fof(f670,plain,
    ( ~ sP0(c_Finite__Set_Osetsum(v_f,c_SetInterval_Oord__class_OatLeastLessThan(v_m,v_n,tc_nat),tc_nat,t_a))
    | ~ c_HOL_Oord__class_Oless(v_m,v_n,tc_nat) ),
    inference(subsumption_resolution,[],[f657,f583]) ).

fof(f583,axiom,
    class_Orderings_Olinorder(tc_nat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat__Orderings_Olinorder) ).

fof(f657,plain,
    ( ~ class_Orderings_Olinorder(tc_nat)
    | ~ c_HOL_Oord__class_Oless(v_m,v_n,tc_nat)
    | ~ sP0(c_Finite__Set_Osetsum(v_f,c_SetInterval_Oord__class_OatLeastLessThan(v_m,v_n,tc_nat),tc_nat,t_a)) ),
    inference(superposition,[],[f602,f507]) ).

fof(f507,axiom,
    ! [X3,X18,X17] :
      ( c_SetInterval_Oord__class_OatLeastLessThan(X17,X18,X3) = c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(X17,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),c_SetInterval_Oord__class_OgreaterThanLessThan(X17,X18,X3),tc_fun(X3,tc_bool))
      | ~ class_Orderings_Olinorder(X3)
      | ~ c_HOL_Oord__class_Oless(X17,X18,X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ivl__disj__un_I3_J_0) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11  % Problem    : SWV580-1 : TPTP v8.1.0. Released v4.1.0.
% 0.10/0.12  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.33  % Computer : n010.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit   : 300
% 0.12/0.33  % WCLimit    : 300
% 0.12/0.33  % DateTime   : Tue Aug 30 19:37:28 EDT 2022
% 0.12/0.33  % CPUTime    : 
% 0.18/0.50  % (29179)lrs+1011_1:1_afp=100000:afr=on:amm=sco:bd=preordered:cond=fast:newcnf=on:nm=4:sos=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.18/0.50  % (29182)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=97:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/97Mi)
% 0.18/0.51  % (29169)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.51  % (29166)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.18/0.51  % (29188)lrs+10_1:1_sos=all:ss=axioms:st=1.5:i=20:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/20Mi)
% 0.18/0.51  % (29179)Instruction limit reached!
% 0.18/0.51  % (29179)------------------------------
% 0.18/0.51  % (29179)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.51  % (29179)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.51  % (29179)Termination reason: Unknown
% 0.18/0.51  % (29179)Termination phase: Property scanning
% 0.18/0.51  
% 0.18/0.51  % (29179)Memory used [KB]: 1791
% 0.18/0.51  % (29179)Time elapsed: 0.009 s
% 0.18/0.51  % (29179)Instructions burned: 9 (million)
% 0.18/0.51  % (29179)------------------------------
% 0.18/0.51  % (29179)------------------------------
% 0.18/0.52  % (29180)lrs+10_1:7_av=off:awrs=converge:awrsf=40:br=off:bsd=on:cond=on:drc=off:nwc=3.0:plsq=on:plsqc=1:s2a=on:s2agt=16:to=lpo:urr=on:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.18/0.52  % (29165)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.18/0.53  % (29164)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=34:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/34Mi)
% 0.18/0.53  % (29168)lrs+1011_1:1_atotf=0.0306256:ep=RST:mep=off:nm=0:sos=all:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.18/0.53  % (29162)lrs+10_1:16_awrs=converge:awrsf=40:br=off:ep=RSTC:flr=on:gsp=on:nwc=3.0:sos=on:urr=on:i=4:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.18/0.53  % (29167)lrs+1010_1:4_amm=off:bce=on:sd=1:sos=on:ss=included:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.53  % (29163)lrs+10_1:1_bd=off:drc=off:lcm=reverse:nwc=5.0:sd=1:sgt=16:spb=goal_then_units:ss=axioms:to=lpo:i=43:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/43Mi)
% 0.18/0.54  % (29169)First to succeed.
% 0.18/0.54  % (29189)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.18/0.54  % (29180)Instruction limit reached!
% 0.18/0.54  % (29180)------------------------------
% 0.18/0.54  % (29180)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.54  % (29180)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.54  % (29180)Termination reason: Unknown
% 0.18/0.54  % (29180)Termination phase: Property scanning
% 0.18/0.54  
% 0.18/0.54  % (29180)Memory used [KB]: 1791
% 0.18/0.54  % (29180)Time elapsed: 0.006 s
% 0.18/0.54  % (29180)Instructions burned: 6 (million)
% 0.18/0.54  % (29180)------------------------------
% 0.18/0.54  % (29180)------------------------------
% 0.18/0.54  % (29161)dis+21_1:1_av=off:fd=off:lcm=predicate:sos=on:spb=goal:urr=ec_only:i=42:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/42Mi)
% 0.18/0.54  % (29186)lrs+3_8:1_anc=none:erd=off:fsd=on:s2a=on:s2agt=16:sgt=16:sos=on:sp=frequency:ss=included:i=71:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/71Mi)
% 0.18/0.55  % (29160)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.18/0.55  % (29187)lrs+10_1:1_av=off:sd=2:sos=on:sp=reverse_arity:ss=axioms:to=lpo:i=73:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/73Mi)
% 0.18/0.55  % (29177)ott+2_1:64_afp=40000:bd=off:irw=on:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.18/0.55  % (29168)Instruction limit reached!
% 0.18/0.55  % (29168)------------------------------
% 0.18/0.55  % (29168)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.55  % (29168)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.55  % (29168)Termination reason: Unknown
% 0.18/0.55  % (29168)Termination phase: Function definition elimination
% 0.18/0.55  
% 0.18/0.55  % (29168)Memory used [KB]: 1791
% 0.18/0.55  % (29168)Time elapsed: 0.003 s
% 0.18/0.55  % (29168)Instructions burned: 4 (million)
% 0.18/0.55  % (29168)------------------------------
% 0.18/0.55  % (29168)------------------------------
% 0.18/0.55  % (29177)Instruction limit reached!
% 0.18/0.55  % (29177)------------------------------
% 0.18/0.55  % (29177)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.55  % (29177)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.55  % (29177)Termination reason: Unknown
% 0.18/0.55  % (29177)Termination phase: Property scanning
% 0.18/0.55  
% 0.18/0.55  % (29177)Memory used [KB]: 1791
% 0.18/0.55  % (29177)Time elapsed: 0.005 s
% 0.18/0.55  % (29177)Instructions burned: 8 (million)
% 0.18/0.55  % (29177)------------------------------
% 0.18/0.55  % (29177)------------------------------
% 0.18/0.55  % (29162)Instruction limit reached!
% 0.18/0.55  % (29162)------------------------------
% 0.18/0.55  % (29162)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.55  % (29162)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.55  % (29162)Termination reason: Unknown
% 0.18/0.55  % (29162)Termination phase: General splitting
% 0.18/0.55  
% 0.18/0.55  % (29162)Memory used [KB]: 1791
% 0.18/0.55  % (29162)Time elapsed: 0.004 s
% 0.18/0.55  % (29162)Instructions burned: 5 (million)
% 0.18/0.55  % (29162)------------------------------
% 0.18/0.55  % (29162)------------------------------
% 0.18/0.55  % (29169)Refutation found. Thanks to Tanya!
% 0.18/0.55  % SZS status Unsatisfiable for theBenchmark
% 0.18/0.55  % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.55  % (29169)------------------------------
% 0.18/0.55  % (29169)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.55  % (29169)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.55  % (29169)Termination reason: Refutation
% 0.18/0.55  
% 0.18/0.55  % (29169)Memory used [KB]: 6908
% 0.18/0.55  % (29169)Time elapsed: 0.112 s
% 0.18/0.55  % (29169)Instructions burned: 24 (million)
% 0.18/0.55  % (29169)------------------------------
% 0.18/0.55  % (29169)------------------------------
% 0.18/0.55  % (29159)Success in time 0.206 s
%------------------------------------------------------------------------------