↑ Up

SPASS---3.9.THM-Ref.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : AGT005+1 : TPTP v8.1.0. Bugfixed v3.1.0.
% Transfm  : none
% Format   : tptp
% Command  : run_spass %d %s

% Computer : n022.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  : 600s
% DateTime : Thu Jul 14 12:04:09 EDT 2022

% Result   : Theorem 94.42s 94.66s
% Output   : Refutation 94.42s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   18
% Syntax   : Number of clauses     :   35 (  16 unt;   4 nHn;  35 RR)
%            Number of literals    :   66 (   0 equ;  32 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    9 (   8 usr;   1 prp; 0-4 aty)
%            Number of functors    :   16 (  16 usr;  14 con; 0-1 aty)
%            Number of variables   :    0 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(122,axiom,
    accept_team(christiansufferterrahumanitarianorganization,countryacivilorganization,towna,n6),
    file('AGT005+1.p',unknown),
    [] ).

cnf(148,axiom,
    accept_team(christiansufferterrahumanitarianorganization,countryahumanitarianorganization,coastvillage,n5),
    file('AGT005+1.p',unknown),
    [] ).

cnf(151,axiom,
    accept_team(christiansufferterrahumanitarianorganization,countryafirstaidorganization,coastvillage,n6),
    file('AGT005+1.p',unknown),
    [] ).

cnf(222,axiom,
    rdn_translate(n3,rdn_pos(rdnn(n3))),
    file('AGT005+1.p',unknown),
    [] ).

cnf(224,axiom,
    rdn_translate(n5,rdn_pos(rdnn(n5))),
    file('AGT005+1.p',unknown),
    [] ).

cnf(241,axiom,
    rdn_positive_less(rdnn(n3),rdnn(n4)),
    file('AGT005+1.p',unknown),
    [] ).

cnf(242,axiom,
    rdn_positive_less(rdnn(n4),rdnn(n5)),
    file('AGT005+1.p',unknown),
    [] ).

cnf(247,axiom,
    ~ accept_team(christiansufferterrahumanitarianorganization,countryafirstaidorganization,towna,n3),
    file('AGT005+1.p',unknown),
    [] ).

cnf(541,axiom,
    ( ~ less(u,v)
    | ~ less(v,u) ),
    file('AGT005+1.p',unknown),
    [] ).

cnf(542,axiom,
    ( ~ less(u,v)
    | ~ equal(v,u) ),
    file('AGT005+1.p',unknown),
    [] ).

cnf(543,axiom,
    ( ~ accept_team(u,v,w,x)
    | accept_city(u,w) ),
    file('AGT005+1.p',unknown),
    [] ).

cnf(544,axiom,
    ( ~ accept_team(u,v,w,x)
    | accept_leader(u,v) ),
    file('AGT005+1.p',unknown),
    [] ).

cnf(545,axiom,
    ( ~ accept_team(u,v,w,x)
    | accept_number(u,x) ),
    file('AGT005+1.p',unknown),
    [] ).

cnf(546,axiom,
    ( less(u,v)
    | equal(v,u)
    | less(v,u) ),
    file('AGT005+1.p',unknown),
    [] ).

cnf(549,axiom,
    ( ~ less(u,v)
    | ~ accept_number(w,v)
    | accept_number(w,u) ),
    file('AGT005+1.p',unknown),
    [] ).

cnf(612,axiom,
    ( ~ accept_city(u,v)
    | ~ accept_leader(u,w)
    | ~ accept_number(u,x)
    | accept_team(u,w,v,x) ),
    file('AGT005+1.p',unknown),
    [] ).

cnf(613,axiom,
    ( ~ rdn_positive_less(rdnn(u),rdnn(v))
    | ~ rdn_positive_less(rdnn(w),rdnn(u))
    | rdn_positive_less(rdnn(w),rdnn(v)) ),
    file('AGT005+1.p',unknown),
    [] ).

cnf(614,axiom,
    ( ~ rdn_positive_less(u,v)
    | ~ rdn_translate(w,rdn_pos(v))
    | ~ rdn_translate(x,rdn_pos(u))
    | less(x,w) ),
    file('AGT005+1.p',unknown),
    [] ).

cnf(630,plain,
    ( ~ accept_city(christiansufferterrahumanitarianorganization,towna)
    | ~ accept_leader(christiansufferterrahumanitarianorganization,countryafirstaidorganization)
    | ~ accept_number(christiansufferterrahumanitarianorganization,n3) ),
    inference(res,[status(thm),theory(equality)],[612,247]),
    [iquote('0:Res:612.3,247.0')] ).

cnf(813,plain,
    accept_leader(christiansufferterrahumanitarianorganization,countryafirstaidorganization),
    inference(res,[status(thm),theory(equality)],[151,544]),
    [iquote('0:Res:151.0,544.0')] ).

cnf(833,plain,
    ( ~ accept_city(christiansufferterrahumanitarianorganization,towna)
    | ~ accept_number(christiansufferterrahumanitarianorganization,n3) ),
    inference(mrr,[status(thm)],[630,813]),
    [iquote('0:MRR:630.1,813.0')] ).

cnf(938,plain,
    accept_number(christiansufferterrahumanitarianorganization,n5),
    inference(res,[status(thm),theory(equality)],[148,545]),
    [iquote('0:Res:148.0,545.0')] ).

cnf(980,plain,
    accept_city(christiansufferterrahumanitarianorganization,towna),
    inference(res,[status(thm),theory(equality)],[122,543]),
    [iquote('0:Res:122.0,543.0')] ).

cnf(1058,plain,
    ~ accept_number(christiansufferterrahumanitarianorganization,n3),
    inference(mrr,[status(thm)],[833,980]),
    [iquote('0:MRR:833.0,980.0')] ).

cnf(1063,plain,
    ( ~ accept_number(u,v)
    | equal(v,w)
    | less(v,w)
    | accept_number(u,w) ),
    inference(res,[status(thm),theory(equality)],[546,549]),
    [iquote('0:Res:546.0,549.0')] ).

cnf(1419,plain,
    ( ~ rdn_positive_less(rdnn(u),rdnn(n4))
    | rdn_positive_less(rdnn(u),rdnn(n5)) ),
    inference(res,[status(thm),theory(equality)],[242,613]),
    [iquote('0:Res:242.0,613.0')] ).

cnf(1580,plain,
    ( ~ rdn_positive_less(u,rdnn(n5))
    | ~ rdn_translate(v,rdn_pos(u))
    | less(v,n5) ),
    inference(res,[status(thm),theory(equality)],[224,614]),
    [iquote('0:Res:224.0,614.1')] ).

cnf(22871,plain,
    ( ~ rdn_positive_less(rdnn(n3),rdnn(n5))
    | less(n3,n5) ),
    inference(res,[status(thm),theory(equality)],[222,1580]),
    [iquote('0:Res:222.0,1580.1')] ).

cnf(23770,plain,
    ( equal(n5,u)
    | less(n5,u)
    | accept_number(christiansufferterrahumanitarianorganization,u) ),
    inference(res,[status(thm),theory(equality)],[938,1063]),
    [iquote('0:Res:938.0,1063.0')] ).

cnf(71161,plain,
    ( ~ rdn_positive_less(rdnn(n3),rdnn(n4))
    | less(n3,n5) ),
    inference(res,[status(thm),theory(equality)],[1419,22871]),
    [iquote('0:Res:1419.1,22871.0')] ).

cnf(71162,plain,
    less(n3,n5),
    inference(mrr,[status(thm)],[71161,241]),
    [iquote('0:MRR:71161.0,241.0')] ).

cnf(71164,plain,
    ~ less(n5,n3),
    inference(res,[status(thm),theory(equality)],[71162,541]),
    [iquote('0:Res:71162.0,541.0')] ).

cnf(71165,plain,
    ~ equal(n5,n3),
    inference(res,[status(thm),theory(equality)],[71162,542]),
    [iquote('0:Res:71162.0,542.0')] ).

cnf(71272,plain,
    ( equal(n5,n3)
    | less(n5,n3) ),
    inference(res,[status(thm),theory(equality)],[23770,1058]),
    [iquote('0:Res:23770.2,1058.0')] ).

cnf(71274,plain,
    $false,
    inference(mrr,[status(thm)],[71272,71165,71164]),
    [iquote('0:MRR:71272.0,71272.1,71165.0,71164.0')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12  % Problem  : AGT005+1 : TPTP v8.1.0. Bugfixed v3.1.0.
% 0.08/0.13  % Command  : run_spass %d %s
% 0.13/0.34  % Computer : n022.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Sat Jun  4 06:40:21 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 94.42/94.66  
% 94.42/94.66  SPASS V 3.9 
% 94.42/94.66  SPASS beiseite: Proof found.
% 94.42/94.66  % SZS status Theorem
% 94.42/94.66  Problem: /export/starexec/sandbox/benchmark/theBenchmark.p 
% 94.42/94.66  SPASS derived 70464 clauses, backtracked 0 clauses, performed 0 splits and kept 70549 clauses.
% 94.42/94.66  SPASS allocated 133555 KBytes.
% 94.42/94.66  SPASS spent	0:1:33.23 on the problem.
% 94.42/94.66  		0:00:00.04 for the input.
% 94.42/94.66  		0:00:00.09 for the FLOTTER CNF translation.
% 94.42/94.66  		0:00:02.59 for inferences.
% 94.42/94.66  		0:00:00.00 for the backtracking.
% 94.42/94.66  		0:0:53.82 for the reduction.
% 94.42/94.66  
% 94.42/94.66  
% 94.42/94.66  Here is a proof with depth 4, length 35 :
% 94.42/94.66  % SZS output start Refutation
% See solution above
% 94.42/94.66  Formulae used in the proof : event_26 event_90 event_93 rdn3 rdn5 rdn_positive_less34 rdn_positive_less45 query_5 less_property a1_1 a1_2 rdn_positive_less_transitivity less_entry_point_pos_pos
% 94.42/94.66  
%------------------------------------------------------------------------------