TSTP Solution File: NUM383+1 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : NUM383+1 : TPTP v8.1.0. Released v3.2.0.
% 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 : n019.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 17:59:18 EDT 2022
% Result : Theorem 0.20s 0.57s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 8
% Syntax : Number of formulae : 42 ( 8 unt; 0 def)
% Number of atoms : 94 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 89 ( 37 ~; 30 |; 12 &)
% ( 3 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 2 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-1 aty)
% Number of variables : 69 ( 65 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f220,plain,
$false,
inference(avatar_sat_refutation,[],[f196,f219]) ).
fof(f219,plain,
spl13_1,
inference(avatar_contradiction_clause,[],[f218]) ).
fof(f218,plain,
( $false
| spl13_1 ),
inference(subsumption_resolution,[],[f216,f101]) ).
fof(f101,plain,
! [X0,X1] :
( ~ in(X1,X0)
| ~ in(X0,X1) ),
inference(cnf_transformation,[],[f69]) ).
fof(f69,plain,
! [X0,X1] :
( ~ in(X1,X0)
| ~ in(X0,X1) ),
inference(rectify,[],[f50]) ).
fof(f50,plain,
! [X1,X0] :
( ~ in(X0,X1)
| ~ in(X1,X0) ),
inference(ennf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X1,X0] :
( in(X0,X1)
=> ~ in(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',antisymmetry_r2_hidden) ).
fof(f216,plain,
( in(sK4,sK4)
| spl13_1 ),
inference(unit_resulting_resolution,[],[f151,f192,f123]) ).
fof(f123,plain,
! [X0,X1] :
( ~ element(X1,X0)
| in(X1,X0)
| empty(X0) ),
inference(cnf_transformation,[],[f59]) ).
fof(f59,plain,
! [X0,X1] :
( ~ element(X1,X0)
| in(X1,X0)
| empty(X0) ),
inference(flattening,[],[f58]) ).
fof(f58,plain,
! [X1,X0] :
( in(X1,X0)
| empty(X0)
| ~ element(X1,X0) ),
inference(ennf_transformation,[],[f36]) ).
fof(f36,plain,
! [X1,X0] :
( element(X1,X0)
=> ( in(X1,X0)
| empty(X0) ) ),
inference(rectify,[],[f21]) ).
fof(f21,axiom,
! [X1,X0] :
( element(X0,X1)
=> ( empty(X1)
| in(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2_subset) ).
fof(f192,plain,
element(sK4,sK4),
inference(unit_resulting_resolution,[],[f104,f144,f100]) ).
fof(f100,plain,
! [X2,X0,X1] :
( ~ element(X0,powerset(X1))
| ~ in(X2,X0)
| element(X2,X1) ),
inference(cnf_transformation,[],[f68]) ).
fof(f68,plain,
! [X0,X1,X2] :
( element(X2,X1)
| ~ element(X0,powerset(X1))
| ~ in(X2,X0) ),
inference(rectify,[],[f56]) ).
fof(f56,plain,
! [X2,X1,X0] :
( element(X0,X1)
| ~ element(X2,powerset(X1))
| ~ in(X0,X2) ),
inference(flattening,[],[f55]) ).
fof(f55,plain,
! [X1,X0,X2] :
( element(X0,X1)
| ~ in(X0,X2)
| ~ element(X2,powerset(X1)) ),
inference(ennf_transformation,[],[f35]) ).
fof(f35,plain,
! [X1,X0,X2] :
( ( in(X0,X2)
& element(X2,powerset(X1)) )
=> element(X0,X1) ),
inference(rectify,[],[f23]) ).
fof(f23,axiom,
! [X0,X2,X1] :
( ( in(X0,X1)
& element(X1,powerset(X2)) )
=> element(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t4_subset) ).
fof(f144,plain,
element(sK5,powerset(sK4)),
inference(unit_resulting_resolution,[],[f105,f95]) ).
fof(f95,plain,
! [X0,X1] :
( element(X1,powerset(X0))
| ~ subset(X1,X0) ),
inference(cnf_transformation,[],[f54]) ).
fof(f54,plain,
! [X0,X1] :
( ~ subset(X1,X0)
| element(X1,powerset(X0)) ),
inference(ennf_transformation,[],[f37]) ).
fof(f37,plain,
! [X1,X0] :
( subset(X1,X0)
=> element(X1,powerset(X0)) ),
inference(unused_predicate_definition_removal,[],[f30]) ).
fof(f30,plain,
! [X1,X0] :
( subset(X1,X0)
<=> element(X1,powerset(X0)) ),
inference(rectify,[],[f22]) ).
fof(f22,axiom,
! [X1,X0] :
( subset(X0,X1)
<=> element(X0,powerset(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t3_subset) ).
fof(f105,plain,
subset(sK5,sK4),
inference(cnf_transformation,[],[f71]) ).
fof(f71,plain,
( subset(sK5,sK4)
& in(sK4,sK5) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4,sK5])],[f49,f70]) ).
fof(f70,plain,
( ? [X0,X1] :
( subset(X1,X0)
& in(X0,X1) )
=> ( subset(sK5,sK4)
& in(sK4,sK5) ) ),
introduced(choice_axiom,[]) ).
fof(f49,plain,
? [X0,X1] :
( subset(X1,X0)
& in(X0,X1) ),
inference(ennf_transformation,[],[f28]) ).
fof(f28,negated_conjecture,
~ ! [X1,X0] :
~ ( subset(X1,X0)
& in(X0,X1) ),
inference(negated_conjecture,[],[f27]) ).
fof(f27,conjecture,
! [X1,X0] :
~ ( subset(X1,X0)
& in(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t7_ordinal1) ).
fof(f104,plain,
in(sK4,sK5),
inference(cnf_transformation,[],[f71]) ).
fof(f151,plain,
( ~ empty(sK4)
| spl13_1 ),
inference(avatar_component_clause,[],[f150]) ).
fof(f150,plain,
( spl13_1
<=> empty(sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_1])]) ).
fof(f196,plain,
~ spl13_1,
inference(avatar_split_clause,[],[f190,f150]) ).
fof(f190,plain,
~ empty(sK4),
inference(unit_resulting_resolution,[],[f104,f144,f106]) ).
fof(f106,plain,
! [X2,X0,X1] :
( ~ in(X2,X0)
| ~ element(X0,powerset(X1))
| ~ empty(X1) ),
inference(cnf_transformation,[],[f72]) ).
fof(f72,plain,
! [X0,X1,X2] :
( ~ element(X0,powerset(X1))
| ~ in(X2,X0)
| ~ empty(X1) ),
inference(rectify,[],[f53]) ).
fof(f53,plain,
! [X1,X0,X2] :
( ~ element(X1,powerset(X0))
| ~ in(X2,X1)
| ~ empty(X0) ),
inference(ennf_transformation,[],[f33]) ).
fof(f33,plain,
! [X1,X0,X2] :
~ ( element(X1,powerset(X0))
& in(X2,X1)
& empty(X0) ),
inference(rectify,[],[f24]) ).
fof(f24,axiom,
! [X2,X1,X0] :
~ ( element(X1,powerset(X2))
& in(X0,X1)
& empty(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t5_subset) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUM383+1 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34 % Computer : n019.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 : 300
% 0.13/0.34 % DateTime : Tue Aug 30 06:34:20 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.56 % (19172)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 0.20/0.56 % (19164)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.56 % (19156)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.20/0.56 % (19157)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.20/0.57 % (19156)First to succeed.
% 0.20/0.57 % (19156)Refutation found. Thanks to Tanya!
% 0.20/0.57 % SZS status Theorem for theBenchmark
% 0.20/0.57 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.57 % (19156)------------------------------
% 0.20/0.57 % (19156)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.57 % (19156)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.57 % (19156)Termination reason: Refutation
% 0.20/0.57
% 0.20/0.57 % (19156)Memory used [KB]: 6012
% 0.20/0.57 % (19156)Time elapsed: 0.141 s
% 0.20/0.57 % (19156)Instructions burned: 4 (million)
% 0.20/0.57 % (19156)------------------------------
% 0.20/0.57 % (19156)------------------------------
% 0.20/0.57 % (19148)Success in time 0.219 s
%------------------------------------------------------------------------------